According to the Lorentz Force Law, the magnetic force on a moving particle with charge q and velocity v moving through a magnetic field B, is given by:
\(\vec{F}=q\vec{v}\times\vec{B}\)To find the direction of the force using the right hand palm rule, align your palm with the direction of v and then close your palm towards the direction of B. The direction where your thumb points will be the same direction that the force F has.
Why is it that when riding in a car, you don't feel like you're moving?
This may shock you:
We NEVER feel speed, velocity, or motion, as long as it's constant.
We only feel CHANGES in speed, velocity, or motion.
That means speeding up, slowing down, or changing direction.
As long as we're moving in a straight line at a constant speed, we don't feel anything.
A machine lifts a load of 100N through a vertical distance of 2m in seconds. What is the work done by machine?
Explanation:
In this chapter, we will study the important concepts of kinetic energy and the
closely related concept of work and power.
A- Kinetic Energy
Kinetic energy is a physical quantity, which is associated with the moving objects
and defined as:
K = ½ mv2
If the body is stationary (v=0), its kinetic energy is zero. The SI unit of kinetic
energy is kg.m2
/s2
or Joule (J), where 1 J=1 kg.m2
/s2
. Kinetic energy is a scalar
quantity.
B- Work
The work is defined as the ability to perform a force along a certain displacement.
There are different types of work as follows:
1- Work done by a constant force
The work done by the constant force F is given by the scalar product of the force F
and the displacement d.
WF = F.d = Fd cosθ
where θ is the angle between the force and displacement. The above equation means
that the work is the product of the displacement magnitude by component of the
force parallel to the displacement. Therefore, work is a scalar quantity (only
magnitude, no direction) and can be positive, negative, or zero. The SI unit of work
is (N.m) or joule (J) where 1 N.m = 1 J.
Special cases and remarks:
• If the angle between the force and displacement is zero (parallel), the work is
WF = F d (maximum work)
For the vertical part, W = (200 N) * (10 m) * cos (0 deg) = 2000 J. For the horizontal part, W = (50 N) * (35 m) * cos (0 deg) = 1750 J. The total work done is 3750 J (the sum of the two parts).
Hi please help on question! . If answer is correct I'll rate you five stars a thanks and maybe even brainliest! You will even get 54 pts!!
Here is a function machine.
Input : multiply by 6. Subtract 80: output
The input is the same as the output. Find the input.
Also can you please show me an easy to work out these type of questions
Answer:
Explanation:
Sure, I'd be happy to help you with the question!
Let's denote the input as x. According to the function machine, the input is multiplied by 6 and then 80 is subtracted from the result to obtain the output.
So, the function can be written as:
Output = (6 * x) - 80
Now, the problem states that the input is the same as the output. Therefore, we can set up the equation:
x = (6 * x) - 80
Let's solve this equation to find the value of x:
x = 6x - 80
Subtracting 6x from both sides, we get:
x - 6x = -80
Combining like terms, we have:
-5x = -80
Dividing both sides by -5, we find:
x = (-80) / (-5)
Simplifying the expression, we have:
x = 16
Therefore, the input (x) that results in the input being the same as the output is 16.
To work out these types of questions, it's important to carefully read the instructions and understand the operations being performed in the function machine. Then, you can set up an equation with the input and output, and solve for the unknown value. Always double-check your solution to ensure it satisfies the given conditions of the problem.
Answer:
16
Explanation:
(x*6) - 80 = x
Multiply the parentheses
6x - 80 = x
Add 80 to each side to get
6x = x + 80
Subtract x from both sides to get
5x = 80
Divide both sides by 5
x = 16
A caterpillar climbs up a one-meter wall. For every 2 cm it climbs up, it slides down 1 cm. It takes 10 minutes for the caterpillar to climb to the top. What is the distance traveled? (Round the number to the nearest hundred.)
The distance travelled by Caterpillar will be 1.5 m as rounded to the nearest hundred.
Distance is a scalar quantity while Displacement is vector. Displacement is the distance and direction separating an object's ultimate position from its initial position. Distance is the overall length an object travels while in motion.
It makes one movement, reaching 2 cm, but then stops at 1 cm.
It makes two moves to reach 3 cm but stops at 2 cm.
This implies, for example, that a caterpillar climbing up 4 cm will also slide down a total of 2 cm, climbing up 10 cm will result in a total slide down of 5 cm, etc.
The caterpillar travels 3 cm in that interval because it descends 1 cm for every 2 cm it climbs up. We specify,
Distance (d) = 3 cm of distance traveled / 2cm of climbing up
Thus, the distance travelled by Caterpillar will be 1.5 m i .
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Consider a ball on a circular track. The ball is slowly coming to a stop which takes 15.0 seconds. At the start, the ball was moving around with 9.13 rad/s. Calculate the angular deceleration if the ball traveled across 90 radians.
The answer should be -0.42 rad/s2
I don't know how to solve it
The angular deceleration of the ball is -0.42 rad/s².
What is angular acceleration?Angular acceleration is a measure of the rate of change of angular velocity of an object rotating about an axis. When an object rotates, its angular velocity (ω) can change as a result of various factors, such as the application of an external torque or the redistribution of mass in the object.
We can use the formula for angular acceleration:
α = (ωf - ωi) / t
where
α is the angular acceleration
ωi is the initial angular velocity
ωf is the final angular velocity (which is zero in this case since the ball comes to a stop)
t is the time it takes for the ball to come to a stop
To find the initial and final angular positions, we can use the formula:
θf - θi = ωi * t + (1/2) * α * t²
where
θi is the initial angular position (0 in this case)
θf is the final angular position (90 radians in this case)
Substtuting the given values, we have:
θf - θi = ωi * t + (1/2) * α * t²
90 - 0 = (9.13 rad/s) * 15 s + (1/2) * α * (15 s)²
Simplifying and solving for α, we get:
α = -0.42 rad/s²
Therefore, the angular deceleration of the ball is -0.42 rad/s².
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To better understand crash dynamics we have to look at "__________."
A. the law of gravity
B. Bernoulli's principle
C. the laws of motion
D. Archimedes' principle
To better understand crash dynamics we have to look at "the laws of motion."
The laws of motion
The laws of motion were introduced by Sir Isaac Newton in 1687 in his book Philosophiæ Naturalis Principia Mathematica ("Mathematical Principles of Natural Philosophy"), which defined the laws of motion, or three fundamental laws that govern the movement of bodies. The laws of motion, according to Newton, govern the motion of an object or a system of objects that interact.
It defines the concepts of force and mass, and the fundamental dynamics of motion.The following are the laws of motion:Every object will remain at rest or in uniform motion in a straight line unless compelled to change its state by the action of an external force. The velocity of an object changes proportional to the force applied to it, and the acceleration of an object is proportional to both its force and its mass. For every action, there is an equal and opposite reaction.
Therefore, these laws are necessary to fully grasp crash dynamics because they explain how objects respond to outside forces that cause them to accelerate or decelerate.
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6. A girl pushes her little brother on his sled with a force of 300 N for 750 m.
a. How much work is this?
b. How much energy is used?
c. How much power does she use if it takes her 25s?
d. How much power does she use if she runs and complete the 750m in 10s?
w=225000 J
E=225000 J
P=9000 W
P=22500 W
Ew=Fd=E
P=E/t
What is the acceleration of a 50 kg object pushed with a force of 1000 newtons?
what are the choices?
The acceleration of gravity on the
Moon is 1.62 m/s2. The mass of the
Moon is 7.35 x 1022 kg. From this
information, what is the radius of the
Moon?
Answer:
1.74 x 10^6
Explanation:
Brainliest :)
The approximate radius of the Moon is \(1.736 * 10^7\) meters, or 17,360 kilometers.
To find the radius of the Moon, we can use Newton's law of universal gravitation, which relates the acceleration due to gravity (g) to the mass of the celestial body (M) and the distance (radius, r) between the center of the body and the object experiencing the gravitational force.
The formula for the acceleration due to gravity on the surface of a celestial body is:
\(g = G * (M / r^2),\)
where:
g = acceleration due to gravity on the Moon's surface (\(1.62 m/s^2\)),
G = universal gravitational constant (approximately\(6.67430 * 10^{-11\) m^3/kg/s^2),
M = mass of the Moon (\(7.35 * 10^{22\) kg), and
r = radius of the Moon (what we want to find).
Let's rearrange the formula to solve for the radius (r):
\(r^2\) = G * (M / g).
Now, we can plug in the known values:
\(r^2 = (6.67430 * 10^{-11} m^3/kg/s^2) * (7.35 * 10^{22} kg / 1.62 m/s^2)\).
Calculate the value of \(r^2\):
\(r^2\) ≈ \(3.018 * 10^{14} m^2.\)
Finally, take the square root of both sides to find the radius (r):
r ≈ \(\sqrt{(3.018 * 10^{14} m^2)\)≈ \(1.736 * 10^7\) meters.
So, the approximate radius of the Moon is\(1.736 * 10^7\) meters, or 17,360 kilometers.
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The motor of a table saw is rotating at 3450 rev/min. A pulley attached to the motor shaft drives a second pulley of half the diameter by means of a V-belt. A circular saw blade of diameter 0.208 m is mounted on the same rotating shaft as the second pulley.
Answer: It should be the answer beginning like this
The linear spread is that
The radial acceleration of locations along the blade's outer edge is approximately 17580 \(m/s^2\).
What is Radial acceleration?Radial acceleration describes the acceleration of an object travelling on a circular path towards the circle's center. It can be defined as the rate of change of tangential velocity with regard to time and is also known as centripetal acceleration.
Given:
A table saw's engine rotates at 3450 revolutions per minute.A V-belt connects a pulley that's attached to the motor shaft to a second pulley half the diameter.A 0.208 m circular saw blade is installed on the same rotating shaft as the second pulley.We know that the motor is rotating at 3450 rev/min. One revolution is equal to 2π radians, so we can convert the motor speed to radians per minute:
ω₁ = (3450 rev/min) x (2π rad/rev) = 21675π rad/min
The second pulley is half the diameter of the first pulley, so its angular speed, ω₂, is twice that of ω₁:
ω₂ = 2ω₁ = 43350π rad/min
The circular saw blade is mounted on the same shaft as the second pulley, so it also rotates at the same angular speed:
ω = ω₂ = 43350π rad/min
We can now calculate the linear speed of the small piece of wood moving at the same rate as the rim of the circular saw blade, indicated by v. The circumference of the circle is supplied by the rim of the circular saw blade:
C = πd = π(0.208 m) = 0.6548 m
The linear speed of the little piece of wood is equal to the tangential speed of the circular saw blade's rim:
v = ωr
where r is the circular saw blade's radius, given by half its diameter:
r = d/2 = 0.208/2 = 0.104 m
By substituting the values, we obtain:
v = r = (43350 rad/min) x (0.104 m) x (1/60) = approx. 23.0 m/s
As a result, the linear speed of the little piece of wood moving at the same rate as the rim of the circular saw blade is about 23.0 m/s.
Next, compute the radial acceleration of locations on the blade's outer edge, represented by. The radial acceleration is calculated as follows:
α = rω²
By substituting the values, we obtain:
r2 = (0.104 m) x (43350 rad/min)2 x (1/602) = 17580 m/s2 (approximate)
Therefore, the radial acceleration of points on the outer edge of the blade is approximately 17580 m/s². This high radial acceleration explains why sawdust doesn't stick to the teeth of the saw blade.
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Your question is incomplete, most probably the complete question is:
The motor of a table saw is rotating at 3450{\rm rev/min}. A pulley attached to the motor shaft drives a second pulley of half the diameter by means of a V-belt. A circular saw blade of diameter 0.208{\rm m}is mounted on the same rotating shaft as the second pulley.
The operator is careless and the blade catches and throws back a small piece of wood. This piece of wood moves with linear speed equal to the tangential speed of the rim of the blade. What is this speed?
v =_______________________ m/s
Calculate the radial acceleration of points on the outer edge of the blade to see why sawdust doesn't stick to its teeth.
\alpha=______________________m/s2
J
Question 5 of 10
A pot of water is heated on a gas-flame stove and begins to boil. Which two
transfers of thermal energy involved in this system are examples of radiation?
A. From the burner to air that is not touching it
B. In the surrounding air as air currents develop
C. From the water to the air
D. From the burner to a nearby spoon
In this system, there are two thermal energy transfers that are instances of radiation: A. From the flame to air that isn't in contact with it D. From the hob to a spoon in the area
What kind of energy is transmitted to the water's particles when it is heated on a stove?Thermal energy can be seen in the boiling of water on a stove. As a substance's atoms and molecules vibrate more quickly as a result of a rise in temperature, thermal energy is created.
What is the process for transferring heat from the burner to the pot called?The most typical method of heat transfer is conduction, which involves the direct exchange of heat between two things. Burners on stoves, for instance, will transfer heat energy to the bottom of a pan that is resting on top of them when cooking. The pan then transfers the heat to its contents.
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What would the Roche limit be for an earth-orbiting body with the same density as iron(8.0g/cm ^3)
The 35m would the Roche limit be for an earth-orbiting body with the same density as iron(8.0g/cm ^3).
What is density ?
How much material an object contains per unit volume is determined by the density of the substance. It is symbolized by the letter D, however it can also be represented by the symbol. The density of a substance reveals how dense it is in a certain space. The definition of density is the mass of a substance per unit volume.
What is velocity ?
It is measured in meters per second in the SI (ms -1 ). A body is considered to be accelerating if there is a change in the magnitude or direction of its velocity.
Therefore, The 35m would the Roche limit be for an earth-orbiting body with the same density as iron(8.0g/cm ^3).
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A 1200 kg car moving +13.7 m/s makes
an elastic collision with a 3200 kg truck,
initially at rest. What is the velocity of the
car after the collision?
(Unit = m/s)
Remember: right is +, left is -
When a car collides with another object, the total momentum of the system before and after the collision must be conserved. Momentum, on the other hand, is a product of mass and velocity. To find the velocity of a car after a collision, we must first consider the initial momentum of the system before the collision and compare it to the final momentum after the collision.
The total momentum of the system before the collision is calculated as follows:P_initial = m_car x v_carP_initial = 1200 kg x 13.7 m/sP_initial = 16,440 kg*m/s Since the two cars stick together after the collision, their final velocity is the same. Let's suppose the final velocity of the cars after the collision is v_f. Then:P_final = (m_car + m_obstacle) x v_fwhere m_obstacle is the mass of the object the car collided with. Because the car is at rest after the collision, we can assume that the velocity of the object it collided with is zero. Therefore:P_final = m_car x v_fP_final = 1200 kg x v_fThe momentum of the system after the collision must be equal to the momentum of the system before the collision. That means:P_initial = P_final16,440 kg*m/s = 1200 kg x v_fv_f = 13.7 m/s - (16,440 kg*m/s / 1200 kg) v_f = 13.7 m/s - 13.7 m/s v_f = 0 m/sTherefore, the car will come to a stop after the collision.For such more question on velocity
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The rainbow of visible colors in the electromagnetic spectrum varies continuously from the longest wavelengths (the reddest colors) to the shortest wavelengths (the deepest violet colors) our eyes can detect. Wavelengths near 655 nm are perceived as red. Those near 515 nm are green and those near 475 nm are blue. Calculate the frequency of light (in Hz) with a wavelength of 655 nm, 515 nm, and 475 nm.
The frequency of light with a wavelength of 655 nm is\(4.57 x 10^14 Hz\) and 515 nm is \(5.82 x 10^14\) Hz and 475 nm is\(6.31 x 10^14 Hz\)
The equation that links the speed of light to wavelength and frequency is
c = λν
Where, c = speed of lightλ = wavelengthν = frequency c is a constant of 2.998 x 10^8 m/s.
Calculating the frequency of light with a wavelength of
655 nm:λ = 655 nm = \(6.55 x 10^-7m\)
Using the above equation, we get
c = λνν = c/λ = \((2.998 x 10^8 m/s)/(6.55 x 10^-7m)ν = 4.57 x 10^14 Hz\)
Therefore, the frequency of light with a wavelength of 655 nm is 4.57 x \(10^14 Hz.\)
Calculating the frequency of light with a wavelength of 515 nm:λ = 515 nm = \(5.15 x 10^-7m\)
Using the above equation, we get
c = λνν = c/λ =\((2.998 x 10^8 m/s)/(5.15 x 10^-7m)ν = 5.82 x 10^14 Hz\)
Therefore, the frequency of light with a wavelength of 515 nm is 5.82 x \(10^14 Hz\).
Calculating the frequency of light with a wavelength of 475 nm:λ = 475 nm = \(4.75 x 10^-7\)m Using the above equation, we get
c = λνν = c/λ = \((2.998 x 10^8 m/s)/(4.75 x 10^-7m)ν = 6.31 x 10^14 Hz\)
Therefore, the frequency of light with a wavelength of 475 nm is 6.31 x \(10^14 Hz.\)
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45:56
Which of these is an example of acceleration?
a bicyclist turning around a corner
a car traveling south with its cruise control set
a bus traveling north at 25m/s
a helicopter waiting to take off
Answer:
A car traveling south with its cruise control set
Explanation:
Turning could cause anything to slow down but going forward could mean that anything could go faster.
Two blocks, 1 and 2, are connected by a massless string that passes over a massless pulley. 1 has a mass of 2.25 kg and is on an incline of angle 1=42.5∘ that has a coefficient of kinetic friction 1=0.205. 2 has a mass of 5.55 kg and is on an incline of angle 2=33.5∘ that has a coefficient of kinetic friction 2=0.105
. The figure illustrates the configuration.
A system of two blocks connected by a rope passing over a pulley. The system sits atop a scalene triangle whose long edge forms the base. The pulley is attached to the apex of the triangle. Box M subscript 1 rests on the triangle edge to the left of the pulley, which makes an angle of theta subscript 1 with the base of the triangle. The coefficient of friction between box M sub 1 and the surface is mu subscript 1. Box M subscript 2 rests on the triangle edge to the right of the pulley, which makes an angle of theta subscript 2 with the base of the triangle. The coefficient of friction between box M sub 2 and the surface is mu subscript 2.
The force acting on the system of two blocks connected by a rope passing over a pulley is -13.26 N.
The system of two blocks connected by a rope passing over a pulley are M1 and M2, where M1 rests on the triangle edge to the left of the pulley, which makes an angle of theta subscript 1 with the base of the triangle. The coefficient of friction between box M1 and the surface is mu subscript 1. M2 rests on the triangle edge to the right of the pulley, which makes an angle of theta subscript 2 with the base of the triangle.
The coefficient of friction between box M2 and the surface is mu subscript 2. The system sits atop a scalene triangle whose long edge forms the base. The pulley is attached to the apex of the triangle.M1 has a mass of 2.25 kg and is on an incline of angle 1=42.5∘ that has a coefficient of kinetic friction 1=0.205. M2 has a mass of 5.55 kg and is on an incline of angle 2=33.5∘ that has a coefficient of kinetic friction 2=0.105.The free-body diagram of M1 shows that the weight of M1 acts straight downwards (vertically) and the normal force acts perpendicular to the slope.
The force of friction opposes the motion and acts opposite to the direction of motion.M1 = 2.25 kgTheta subscript 1 = 42.5 degreesMu subscript 1 = 0.205g = 9.81 m/s²In the free-body diagram of M2, the normal force acts perpendicular to the incline of the slope, the weight of the object acts vertically downwards and parallel to the incline, and the force of friction opposes the motion and acts opposite to the direction of motion.M2 = 5.55 kgTheta subscript 2 = 33.5 degreesMu subscript 2 = 0.105g = 9.81 m/s²The tension in the string is the same throughout the rope. Since the masses are being pulled by the same rope, the acceleration of the objects is the same as the acceleration of the rope.
The tension in the string is directly proportional to the acceleration of the objects and the rope.A system of two blocks connected by a rope passing over a pulley has a total mass of M. The acceleration of the system is given by the formula below:a = [(m1-m2)gsin(θ1) - μ1(m1+m2)gcos(θ1)] / (m1 + m2)Where, μ1 = 0.205 is the coefficient of friction of block M1θ1 = 42.5 degrees is the angle of the incline of block M1M1 = 2.25 kg is the mass of block M1M2 = 5.55 kg is the mass of block M2g = 9.81 m/s² is the acceleration due to gravitysinθ1 = sin 42.5 = 0.67cosθ1 = cos 42.5 = 0.75The acceleration of the system is:a = [(2.25-5.55)(9.81)(0.67) - (0.205)(2.25+5.55)(9.81)(0.75)] / (2.25 + 5.55)a = -1.7 m/s² (the negative sign indicates that the system is accelerating in the opposite direction).
The force acting on the system is given by:F = MaWhere M is the total mass of the system and a is the acceleration of the system. The total mass of the system is:M = m1 + m2M = 2.25 + 5.55M = 7.8 kgThe force acting on the system is:F = 7.8(-1.7)F = -13.26 N (the negative sign indicates that the force is acting in the opposite direction).
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how did they get the value of E in this
Explanation:
you move 10 -³ up
so: 100* 10³ /5.5*10
100000/55
which is approximately 18182
QUICK SOMEONE PLEASE HELP!!!! I’LL MARK BRAINLIEST!!!
What phase of matter is pictured below? Image of particles that are spread out, many are not touching, high energy. A. Gas B. Bose-Einstein condensate C. Fermionic condensate D. Plasma
Option(d)i.e, Plasma is the Image of particles that are spread out, many are not touching, high energy.
Along with solid, liquid, and gas, plasma is frequently referred to as the "fourth state of matter." Heating a gas will result in the formation of plasma, which is a soup of positively and negatively charged particles (ions), similar to how adding energy causes a liquid to boil and transform into a gas (electrons).
Plasmas are less dense than solids or liquids and, like gases, have no set structure or volume. However, in contrast to regular gases, plasmas are composed of atoms in which part or all of the electrons have been removed and positively charged nuclei, known as ions, are free to move around.
Solids, liquids, gases, ionized plasma, quark-gluon plasma, bose-einstein condensate, and fermionic condensate are the seven states of matter.
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How/is climate change/human interaction affecting mutualism
A 42.6kg lamp is hanging from wires as shown in figure.The ring has negligible mass. Find tensionsT1, T2,T3 if the object is in equilibrium.
Answer:
T1 = 417.48N
T2 = 361.54N
T3 = 208.74N
Explanation:
Using the sin rule to fine the tension in the strings;
Given
amass = 42.6kg
Weight = 42.6 * 9.8 = 417.48N
The third angle will be 180-(60+30)= 90 degrees
Using the sine rule
W/Sin 90 = T3/sin 30 = T2/sin 60
Get T3;
W/Sin 90 = T3/sin 30
417.48/1 = T3/sin30
T3 = 417.48sin30
T3 = 417.48(0.5)
T3 = 208.74N
Also;
W/sin90 = T2/sin 60
417.48/1 = T2/sin60
T2 = 417.48sin60
T2 = 417.48(0.8660)
T2 = 361.54N
The Tension T1 = Weight of the object = 417.48N
What is a major criticism of Maslow's hierarchy of needs? Select one: a. It is subjective. b. It does not take gender differences into account. c. It is humanistic. d. It only accounts for the objective world.
The correct answer is A. It is subjective
Explanation:
In 1943, the recognized psychologist Abraham Maslow proposed a theory to understand and classify human needs. The work of Maslow included five different categories to classify all basic needs, psychological needs, and self-esteem needs; additionally, in this, Maslow proposed individuals need to satisfy the needs of previous levels to satisfy more complex needs. For example, the first level includes physiological needs such as hunger and these are necessary to get to more complex needs such as the need for safety or self-satisfaction.
This hierarchy is still used all around the world to understand human needs; however, it was been widely criticized because the classification itself is related to Maslow's perspective as this was mainly based on Maslow's ideas about needs, which makes the hierarchy subjective. Also, due to its subjectivity, the hierarchy may apply only in some individuals or societies.
an ideal gas at 20centigree In a press 1.5×10pa and compress,a.isothamally,b.adaibatically until it volume in 1/3 in each case reversible.calculate in each case the final pressure and temperature of d gas (the ratio all specific capacity=Cp/Cv=1.4
a) The final pressure and temperature for the isothermal compression are \(4.5*10^5 Pa\) and 293 K, respectively, while b) the final pressure and temperature for the adiabatic compression are\(5.58*10^5 Pa\) and 515 K, respectively.
a. Isothermal compression:
For an isothermal process, the temperature remains constant. Therefore, we can use the ideal gas law:
PV = nRT
where P is the pressure, V is the volume, n is the number of moles of gas, R is the gas constant, and T is the temperature.
Since the process is isothermal, we can write:
\(P_1V_1 = P_2V_2\)
where P1 and V1 are the initial pressure and volume, and\(P_2\)and\(V_2\)are the final pressure and volume.
We are given that the volume is compressed to 1/3 of its original volume, so\(V_2 = (1/3)V_1\). Substituting this into the equation above gives:
\(P_2 = (V_1/V_2)P_1 = 3P_1\) = \(4.5*10^5 Pa\)
To find the final temperature, we can use the ideal gas law again:
PV = nRT
Rearranging, we get:
T = PV/(nR)
Substituting the values we know, we get:
T = (\(1.5*10^5\)Pa)(V1)/(nR)
Since the process is isothermal, the temperature remains constant, so the final temperature is the same as the initial temperature:
T2 = T1 = 293 K
b. Adiabatic compression:
For an adiabatic process, there is no heat transfer between the gas and its surroundings. Therefore, we can use the adiabatic equation:
PV^γ = constant
where γ = Cp/Cv is the ratio of specific heats.
Since the process is adiabatic and reversible, we can write:
\(P_1V_1\)^γ = \(P_2V_2\)^γ
We are given that the volume is compressed to 1/3 of its original volume, so V2 = (1/3)V1. Substituting this into the equation above gives:
\(P_2 = P_1(V_1/V_2)\)^γ = \(P_1\)\((3)^{(1.4)\) = \(5.58*10^5 Pa\)
To find the final temperature, we can use the adiabatic equation again:
\(T_2 = T_1(P_2/P_1)\)^((γ-1)/γ) = T1(5.58/1.5)^(0.4) = 515 K
Therefore, the final pressure and temperature for the isothermal compression are \(4.5*10^5 Pa\)and 293 K, respectively, while the final pressure and temperature for the adiabatic compression are \(5.58*10^5\) Pa and 515 K, respectively.
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When a ball is thrown straight up with no air Resistance, the acceleration is in what direction ?
Answer:
The ball has a velocity upwards but the acceleration is downwards. Gravity is giving the ball a downwards acceleration from the moment the ball leaves the hands.
Help pls!!
What is the gravitational potential energy of an object of weight 24 N at a height of 3.2 m from the ground?
The gravitational potential energy (PE) of an object can be calculated using the formula:
PE = mgh
Where:
PE is the gravitational potential energy
m is the mass of the object
g is the acceleration due to gravity
h is the height or distance above the reference point (usually the ground)
In this case, you provided the weight of the object, which is 24 N. The weight of an object is the force due to gravity acting on it, and it can be calculated using the formula:
Weight = mg
Where:
Weight is the force due to gravity
m is the mass of the object
g is the acceleration due to gravity
Since you haven't provided the mass of the object, we can find it by rearranging the weight formula:
m = Weight / g
Now, we can calculate the mass of the object:
m = 24 N / 9.8 m/s² ≈ 2.45 kg
Now we have the mass (m = 2.45 kg), the height (h = 3.2 m), and the acceleration due to gravity (g ≈ 9.8 m/s²). Plugging these values into the formula for gravitational potential energy:
PE = mgh
= 2.45 kg × 9.8 m/s² × 3.2 m
≈ 76.736 J
Therefore, the gravitational potential energy of the object at a height of 3.2 m from the ground is approximately 76.736 joules (J).
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Write the name of the three missing categories of expenditure that contribute to a country's GDP.
. Draw a picture that accurately represents each category.
.Several pictures or categories are already filled in for yo
The three missing categories of expenditure that contribute to a country's GDP are
Government spending This includes all expenditures made by the government on goods and services, such as salaries of government employees, public infrastructure, defense spending, and social welfare programs. Government spending is represented by the letter "G" in the formula for GDP GDP = C + I + G + (X-M).
Exports This refers to the value of all goods and services that a country produces and sells to other countries. Exports are represented by the letter "X" in the formula for GDP GDP = C + I + G + (X-M).
Imports This refers to the value of all goods and services that a country purchases from other countries. Imports are subtracted from the formula for GDP since they represent a leakage from the economy. Imports are represented by the letter "M" in the formula for GDP GDP = C + I + G + (X-M).
Here is a brief description of the categories of expenditure that have already been filled in
Personal consumption expenditures (C) This category includes all spending by households on goods and services, such as food, housing, healthcare, and education.
Gross private domestic investment (I) This category includes all investment spending by businesses, such as purchases of machinery, equipment, and structures, as well as changes in inventories.
GDP formula The formula for GDP is the sum of all final goods and services produced within a country's borders in a given time period. It can be expressed as GDP = C + I + G + (X-M).
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Question 3: A Humvee, a 2396 kg vehicle was moving through a field N at 22 m/s collides when it collides with a 1200 kg truck moving at 17 m/s. The Humvee stops and the truck is pushed forward. (b) What is the change in kinetic energy for this collision?
Main answer (final answer) – 1473515.58J
Supporting answer- Collision occurs when two objects come into contact with each other for a brief period of time. In other words, collision is a short-term reciprocal interaction between two masses in which the momentum and energy of the colliding masses change.
Body of the answer-
Final answer- therefore kinetic energy for the collision is 1473515.58J
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A motorcycle stoop is at a traffic light, when the light turns green, the motorcycle accelerates to a speed of 78 km/h over a distance of 50 m. What is the average acceleration of the motorcycle over this distance?
The average acceleration of the motorcycle over the given distance is approximately 9.39 m/s².
To calculate the average acceleration of the motorcycle, we can use the formula:
Average acceleration = (final velocity - initial velocity) / time
First, let's convert the final velocity from km/h to m/s since the distance is given in meters. We know that 1 km/h is equal to 0.2778 m/s.
Converting the final velocity:
Final velocity = 78 km/h * 0.2778 m/s = 21.67 m/s
Since the motorcycle starts from rest (initial velocity is zero), the formula becomes:
Average acceleration = (21.67 m/s - 0 m/s) / time
To find the time taken to reach this velocity, we need to use the formula for average speed:
Average speed = total distance/time
Rearranging the formula:
time = total distance / average speed
Plugging in the values:
time = 50 m / 21.67 m/s ≈ 2.31 seconds
Now we can calculate the average acceleration:
Average acceleration = (21.67 m/s - 0 m/s) / 2.31 s ≈ 9.39 m/s²
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Engineers are designing a system by which a falling mass m
imparts kinetic energy to a rotating uniform drum to which it is attached by thin, very light wire wrapped around the rim of the drum (Figure 1). There is no appreciable friction in the axle of the drum, and everything starts from rest. This system is being tested on earth, but it is to be used on Mars, where the acceleration due to gravity is 3.71 m/s2
. In the earth tests, when m
is set to 15.0 kg
and allowed to fall through 5.00 m
, it gives 350.0 J
of kinetic energy to the drum.
If the system is operated on Mars, through what distance would the 15.0 kg
mass have to fall to give the same amount of kinetic energy to the drum? answer=13.2m
How fast would the 15.0 kg
mass be moving on Mars just as the drum gained 350.0 J
of kinetic energy?
According to the given data in the question, the 15.0 kg mass would be moving at a speed of 6.66 m/s just as the drum gained 350.0 J of kinetic energy on Mars.
What is kinetic energy?Kinetic energy is the energy that a moving physical object has due to its movement. It is defined as the energy an object possesses by virtue of its motion, and is dependent on its mass and velocity.
The kinetic energy gained by the drum is equal to the work done by the falling mass. On earth, the work done is given by:
W = mgh = (15.0 kg)(9.81 m/s²)(5.00 m) = 735.75 J
Since the drum gains 350.0 J of kinetic energy, the efficiency of the system is:
efficiency = 350.0 J / 735.75 J = 0.475
On Mars, the work done by the falling mass must also be equal to 350.0 J, but with a different value of h:
350.0 J = (15.0 kg)(3.71 m/s²)h
h = 26.0 m
Therefore, the 15.0 kg mass must fall through 26.0 m on Mars to give the same amount of kinetic energy to the drum.
The final speed of the mass just as the drum gains 350.0 J of kinetic energy can be found using the formula:
K = (1/2)mv²
where K is the kinetic energy of the mass and v is its final speed. Solving for v:
v = \(\sqrt{(2K/m)}\)
On Mars, with the same efficiency as on earth, the kinetic energy of the mass is also 350.0 J. Therefore:
v = \(\sqrt{(2(350.0 J) / 15.0 kg) }\)= 6.66 m/s
So the 15.0 kg mass would be moving at a speed of 6.66 m/s just as the drum gained 350.0 J of kinetic energy on Mars.
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CAN SOMEBODY PLEASE CHECK THE CHART AKA QUESTION 1? I NEED IT ASAP IN 10 MINUTES!!