ANSWER:
0.076 cm
STEP-BY-STEP EXPLANATION:
Given:
a = 0.75 cm/s^2
angular velocity = 0.5 rps
\(\begin{gathered} \omega=0.5\cdot2\pi\text{ rad/s} \\ \omega=\pi\text{ rad/s} \end{gathered}\)If the distance of record from the center be r, then as we know:
\(\begin{gathered} a=\omega^2\cdot r \\ \text{ we solve for r} \\ r=\frac{a}{\omega^2} \\ r=\frac{0.75}{(3.14)^2} \\ r=0.076cm \end{gathered}\)Therefore, this distance would be 0.076 centimeters
Lucy is cruising through space in her new spaceship. As she coasts along, a tiny spacebug drifts into her path and bounces off the window.
Consider several statements concerning this scenario. Evaluate each statement according to the law of momentum conservation and match it to the appropriate category.
TRUE: The total change in momentum for this interaction is zero.
FALSE: The change in the space bug's momentum is greater than the change in the spaceship's momentum.
UNDETERMINED: If the space bug had stuck to the spaceship instead of bouncing off, momentum would not have been conserved for this interaction.
What is the y-component of A⃗ ?
Answer: Vector A⃗ has y-component Ay = +12.0 m . A⃗ makes an angle of 24.0 ∘ counterclockwise from the +y-axis
The compass of an airplane indicates that the airplane is heading north. The airplane is moving at an airspeed of 230 km/h. The wind is blowing east at 55 km/h.
1.What is the speed of the plane with respect to the ground?
2.How many degrees east of north is the plane’s velocity with respect to the ground?
Answer:
Explanation:
airspeed is speed with respect to air .
Let speed of airplane with respect to ground be V .
wind is blowing east at 55 km/h
airplane is heading north with speed V
Resultant of V and 55 km /h is 230 km/h
V² + 55² = 230²
V² = 52900 - 3025
V = 223.32 km/h
Let θ be the required angle
Tanθ = 55 / 223.32 = .246
θ = 14⁰ .
Q1:Which sound wave will have its crests farther apart from each other - a
wave with frequency 100 Hz or a wave with frequency 500 Hz?
Answer /The wave with frequency 100 will have its crests farther apart as its wavelength Will be more or elevated.
Explanation:
For sound waves, the velocity ‘v’ is equal to the product of wavelength (λ) and frequency (f) i.e. (v = n × λ or v/n = λ). Therefore, frequency is indirectly proportional to the wavelength.
The sound wave with frequency 100 will have its crests farther apart from each other as frequency is indirectly proportional to the wavelength. The speed of a wave is uninfluenced by variation in the frequency. Therefore, the less frequency wave will have more wavelength.
a plane wall is 250mm thick and it's wall area is 4.5m^2. if the thermal conductivity is 9.35w/m°c and surface temperature are steady at 150°c and 40°c. calculate the heat flow across the plane wall and the temperature gradient in the flow direction
The temperature gradient in the flow of direction is 294525 W.
What is Temperature gradient?A temperature gradient is the gradual variance in temperature with distance. The slope of the gradient is consistent within a material. A gradient is established anytime two materials at different temperatures are in physical contact with each other.
Q= T/( L/ KA)
Q= ( 1500 − 450) / 0.15 / 9.35v * 4.35)
= 294525 W
Units of measure of temperature gradients are degrees per unit distance, such as °F per inch or °C per meter.
Many temperature gradients exist naturally, while others are created. The largest temperature gradient on Earth is the Earth itself. Q= T/Ka.
Therefore, The temperature gradient in the flow of direction is 294525 W.
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A 7 N force and a 10 N force act on an object in opposite directions. What is the net force on the object?
70 N
17 N
3 N
1.43 N
0 N
Answer: 70N
Explanation:
'and'= multiply
7N*10N=70N
Energy is transmitted from the sun to Earth primarily through radiation, which, like gravitational force, obeys an inverse-square law. Show that the energy input at aphelion is 92% the intensity at perihelion. Does that difference explain the difference in surface temperature from winter to summer? Make a claim and argue from evidence.
The energy input at aphelion (farthest from the sun) is 92% of the intensity at perihelion (closest to the sun) because of the inverse-square law, which states that the intensity of radiation decreases with the square of the distance from the source.
How is the difference in surface temperature explained?However, the difference in energy input does not solely explain the difference in surface temperature from winter to summer.
Other factors, such as the Earth's axial tilt, atmospheric composition, and cloud cover also play a role in determining the surface temperature.
Evidence from climate models and observations indicate that changes in these factors, especially changes in the number of greenhouse gases in the atmosphere, can have a significant impact on global temperature patterns.
In conclusion, while the inverse-square law affects the intensity of solar radiation, it is not the sole factor in determining surface temperature, and the role of other factors must be considered to fully understand seasonal and climatic variations.
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1. Greek scientist called Archimedes was asked to check the purity of the gold in a crown. He did this by comparing the density of the crown with the density of pure gold.
a) Describe how he could have measured the density of an irregular shaped object as a crown.
Answer:
Suppose Archimedes weighed the crown (we'll say 2700 grams)
Then he put the crown on a string and weighed the crown in water and found its weight to be 2560 g.
That means that an equivalent volume of water weighed
2700 - 2560 = 140 grams
Then the density of the crown is 2700 / 140 = 19.3
So this is the density of pure gold and the crown could be considered to be made of pure gold with no other metals in its composition.
Archimedes weighed the crown, then suspended it on a rope and measured the volume of water it displaced in order to determine its weight, then he calculated the density of the crown and compared it with the density of the pure gold.
What is density?It can be defined as the mass of any object or body per unit volume of the particular object or body. Generally, it is expressed as in gram per cm³ or kilogram per meter³.
As given in the problem statement Greek scientist called Archimedes was asked to check the purity of the gold in a crown. He did this by comparing the density of the crown with the density of pure gold.
Archimedes weighed the crown, then suspended it on a rope and measured the volume of water it displaced in order to determine its weight.
Thus, he could have measured the density of an irregularly shaped object as a crown.
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A submarine is in water of density 1.0x 10 kg/m³. The submarine changes its depth. This causes
the pressure on it to change by 0.10 MPa.
What is the change in depth of the submarine?
A 0.10m
C 100m
B 10m
D 1000 m
Answer:
1000m
Explanation:
Pressure = p x g x h
0.1 x 10^6 = 10 x 10 x h
(0.1 x 10^6) / 100
h = 1000m
I hope my answer helps you.
Vector A has a magnitude of 5 meters and points west vector B has a magnitude of 5 meters pointing east what is the direction and magnitude
The direction and magnitude of the net vector is:
Direction: None Magnitude: 0 meters.How to find the resultant and magnitude of the resultant vectorWhen vector A with magnitude of 5 meters pointing west and
vector B with magnitude of 5 meters pointing east are added,
they will result in a net vector with a magnitude of the difference between the magnitudes of the vectors and a direction equal to the direction of the vector with the largest magnitude.
Since both vectors have the same magnitude (5 meters), the net vector will have a magnitude of 0 meters.
This means that the vectors completely cancel each other out and there is no net vector remaining.
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Two uniform solid spheres, each with mass 0.852 kg
and radius 8.00×10−2 m are connected by a short, light rod that is along a diameter of each sphere and are at rest on a horizontal tabletop. A spring with force constant 153 N/m has one end attached to the wall and the other end attached to a frictionless ring that passes over the rod at the center of mass of the spheres, which is midway between the centers of the two spheres. The spheres are each pulled the same distance from the wall, stretching the spring, and released. There is sufficient friction between the tabletop and the spheres for the spheres to roll without slipping as they move back and forth on the end of the spring.
Assume that the motion of the center of mass of the spheres is simple harmonic. Calculate its period.
The period of the simple harmonic motion of the center of mass of the two spheres is approximately 0.770 seconds.
To find the period of the simple harmonic motion of the center of mass of the two spheres, we need to use the equation for the period of a mass-spring system:
T = 2π√(m/k)
where T is the period, m is the total mass of the system (two spheres), and k is the spring constant.
First, we need to find the total mass of the system:
m = 2m1 = 2(0.852 kg) = 1.704 kg
where m1 is the mass of one sphere.
Next, we need to find the spring constant:
k = 153 N/m
Now, we can calculate the period:
2π√(1.704 kg/153 N/m) ≈ 0.770 s
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817 cm3 at 80.8 kPa to 101.3 kPa
The volume of the gas at 101.3 kPa would be approximately 651.25 cm³.
To calculate the change in volume of a gas from an initial pressure to a final pressure, we can use Boyle's law, which states that the pressure and volume of a gas are inversely proportional at constant temperature.
Boyle's law can be expressed as:
P1 * V1 = P2 * V2
Where:
P1 = Initial pressure (80.8 kPa)
V1 = Initial volume (817 cm³)
P2 = Final pressure (101.3 kPa)
V2 = Final volume (to be calculated)
Let's plug in the values into the equation and solve for V2:
80.8 kPa * 817 cm³ = 101.3 kPa * V2
V2 = (80.8 kPa * 817 cm³) / 101.3 kPa
V2 ≈ 651.25 cm³
Therefore, the volume of the gas at 101.3 kPa would be approximately 651.25 cm³.
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HYSICS A metre rule is pivoted at its centre. A glass block is hanged from one end and the rule is balanced horizontally by hanging masses of 100 g and 50 g at 60 cm and 80 cm marks respectively. Calculate the mass of the glass block.
A meter rule is pivoted at its center. A glass block is hanged from one end and the rule is balanced horizontally by hanging masses of 100 g and 50 g at 60 cm and 80 cm marks respectively, the mass of the glass block. would be 50 gram
What is the mechanical advantage?Mechanical advantage is defined as a measure of the ratio of output force to input force in a system, It is used to analyze the forces in simple machines like levers and pulleys.
Mechanical advantage = output force(load) /input force (effort)
As given a meter rule is pivoted at its center. A glass block is hanged from one end and the rule is balanced horizontally by hanging masses of 100 g and 50 g at 60 cm and 80 cm marks respectively.
In this situation, the axle act as the pivot point around both the load and effort balanced by their moment of force.
By Balancing the moment of forces on both sides
mass of the glass block × (distance from the center of pivot )= ( mass of all the hanging masses) ×( distance from the center of the pivot )
mass of the glass ×50 = 100×10 + 50×30
mass of the glass = 2500/50
=50 gram
Thus, the mass of the glass block. would be 50 gram
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A cat runs along a straight line (the x-axis) from point A to point B to point C, as shown in the figure. The distance between points A and C is 5.00 m, the distance between points B and C is 10.0 m, and the positive direction of the x-axis points to the right. The time to run from A to B is 20.0 s, and the time from B to C is 8.00 s. As the cat runs along the x-axis between points A and C. What is the magnitude of its average velocity?
The cat travels with an average speed to the right of 0.179 m/s.
How can you calculate the separation between the following locations and the x-axis?Simply add up the squares of the other two coordinates to determine the distance between any point and an axis, and then square root the result. We square the y- and z-coordinates, discover their sum, and then square root our result to determine the distance from the x-axis.
The total time elapsed is the sum of the time to run from A to B and the time to run from B to C, which is:
total time = 20.0 s + 8.00 s = 28.0 s
The average velocity is defined as the displacement divided by the elapsed time, so we have:
average velocity = displacement / elapsed time
average velocity = 5.00 m / 28.0 s
average velocity = 0.179 m/s.
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Use Hooke's Law to determine the work done by the variable force in the spring problem. A force of 450 newtons stretches a spring 30 centimeters. How much work is done in stretching the spring from 50 centimeters to 80 centimeters
The work done in stretching the spring from 50 cm to 80 cm is 67.5 J.
Hooke's LawHooke's law states that the force applied to an elastic material is directly proportional to its extension, provided its elastic limit is not exceeded.
To calculate the amount of work done by Hooke's law, first, we need to find the force constant of the spring.
Formula:
F = ke................. Equation 1Where:
F = Force appliedk = Spring constante = extensionmake k the subject of the equation
k = F/e................ Equation 2From the question,
Given:
F = 450 Ne = 30 cm = 0.3 mSubstitute these values into equation 2
k = 450/0.3k = 1500 N/m.Finally, To find the work done in stretching the spring from 50 cm to 80 cm, we use the formula below.
W = ke²/2........... Equation 3Where:
W = Work donek = spring constante = extensionAlso, From the question,
Given:
e = (80-50) = 30 cm = 0.3 mk = 1500 N/mSubstitute these values into equation 3
W = 1500(0.3²)/2W = 67.5 J.Hence, The work done in stretching the spring from 50 cm to 80 cm is 67.5 J.
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In terms of electric pressure, describe a charged capacitor.
Answer: The capacitor is fully charged when the voltage of the power supply is equal to that at the capacitor terminals. This is called capacitor charging; and the charging phase is over when current stops flowing through the electrical circuit.
Voltage
Depends on the amount of resistance
Depends on the amount of current
Is the measurement of electrical pressure
All of the above
Voltage depends on the amount of resistance, current according to the Ohm's law, and, by definition, is the measurement of electrical pressure.
According to the Ohm's Law, the current through a conductor between two points is directly proportional to the voltage across the two points.
Mathematically,
V ∝ I
V = IR
where, R is the resistance of the conductor and I is the current flowing in the conductor. So, the voltage depends on the amount of resistance and current.
Also, Voltage is the pressure from an electrical circuit's power source that pushes charged electrons (current) through a conducting loop, enabling them to do work such as illuminating a light.
Hence All of the above option in the given question are true.
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A squirrel runs across a branch on an oak tree and knocks an acorn and a leaf off the tree.
Which item will hit the ground first? Explain.
An object has a mass of 785g and a volume of 15cm cubed. What is its density
Answer:
52.33 repeating
Explanation:
Density is equal to the Mass of an object divided by its Volume. or p = m/V
Will we ever be able to know if there are other universes like our own? what do you think,
some say it is impossible to see beyond our own universe. but hey, we used to think that the earth was flat and look at us now, planing to go to mars.
however, it is impossible to know what kind of advancements lie ahead for science.
Answer:
I think it's possible to know if more universes exist like how we found out that more galaxies exist.
Only need question number 3
The magnetic field at a point due to wires with distance r = C cm and carrying the current I is 2 mA is 0.29 T.
The magnetic field is produced over the magnet or current-carrying conductor. The Biot-Sarvat law is defined as the magnetic field produced due to the current-carrying conductor. The magnetic field is the vector quantity and the unit of the magnetic field is Tesla. It is the vector quantity.
Magnetic field, B = μ₀/2π (I/R), where μ₀ is the permeability of the magnetic field, I is current, and R is the distance between two points.
B₁= μ₀/2π (I/R)
= (1.26×10⁻⁶)×2×10⁻³/(2π×1.35m)
= 0.29T
B₂ = 0.29T
The net magnetic field is B=B₁+B₂=0.58T.
Thus, the magnetic field is 0.29T. The left wire carries the current outward direction and the right wire carried the current inward direction and hence the direction magnetic field given by the right-hand thumb rule is inside.
B) By using the equation, F=q(v×B), where q is the charge, v is the velocity and B is the magnetic field. Path b is followed by a neutron as it is not deflected by a Magnetic field. The path a is the upward path followed by a negatively charged particle(electron) and Path C is the downward path followed by a positively charged particle(proton).
C) The circular conductor undergoes thermal expansion while it is a uniform magnetic field the direction of the current is a clockwise direction given by the Right-hand thumb rule.
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Having aced your Physics 2111 class, you get a sweet summer-job working in the International Space Station. Your room-mate, Cosmonaut Valdimir tosses a banana at you at a speed of 16 m/s. At exactly the same instant, you fling a scoop of ice cream at Valdimir along exactly the same path. The collision between banana and ice cream produces a banana split 8.2 m from your location 1.4 s after the banana and ice cream were launched.
1. How fast did you toss the ice cream?
2. How far were you from Valdimir when you tossed the ice cream?
Answer:
a
The speed is \(s = 5.857 m/s\)
b
The distance is \(D = 22.4 \ m\)
Explanation:
From the question we are told that
The speed of the banana is \(v = 16 \ m/s\)
The distance from my location is \(d = 8.2 \ m\)
The time taken is \(t = 1.4 \ s\)
The speed of the ice cream is
\(s = \frac{d}{t}\)
substituting values
\(s = \frac{8.4}{1.4}\)
\(s = 5.857 m/s\)
The distance of separation between i and Valdimir is the same as the distance covered by the banana
So
\(D = v * t\)
substituting values
\(D = 16 * 1.4\)
\(D = 22.4 \ m\)
PLEASE HELP!
Which of the following is true of a centripetal force?
a) The force is directed tangent to the circle
b) The force is directed towards the center of the circle
c) The force is directed away from the center of the circle
d) All of the above
Answer:
I'm not %100 sure but it might be d
Explanation:
Which of the following could not be responsible for the acceleration of an object? wind gravity density friction
Answer:
The correct answer to this question is D) Density
EXPLANATION:
From Newton's second laws of motion, we know that the external force acting on a body is equal to the product of mass with the acceleration of the body.
Mathematically Force F = m × a
Here, m is the mass of the body.
a is the acceleration of the body.
Hence, it is the force which is responsible for creating acceleration in an object.
In the given question, we have four factors i.e wind, friction, gravity and density.
Out of the four options, wind, friction and gravity can exert force on an object and can create acceleration in it.
The density of a body is defined as the mass of that body per unit volume.
Mathematically it is written as -
Density d = \frac{m}{v} where v is the volume occupied by the body.
Hence, density will not be responsible for the acceleration of the body.
Answer:
Density
Explanation:
Hope this helps and its different for everyone for me it was C what was it for you
According to kinetic theory, which two factors are important for a successful reaction to occur?
Answer:
Molecules must collide with sufficient energy, known as the activation energy, so that chemical bonds can break. Molecules must collide with the proper orientation.
Explanation:
A collision that meets these two criteria, and that results in a chemical reaction, is known as a successful collision or an effective collision.
describe briefly how you can a body
Answer:
what
you need to elaborate
Answer: Can you please write question clearly.
Explanation:
a constant force of magnitude F=45 N and making an angle of 30 to the horizontal is applied on a stationary block placed on the floor over a distance of 8 m. the work done by the force
The work done by the force on the block is approximately 311.2 Joules.
To calculate the work done by the constant force of magnitude F = 45 N over a distance of 8 m at an angle of 30 degrees to the horizontal, we need to find the component of the force that acts parallel to the displacement.
The horizontal component of the force can be calculated using trigonometry:
F_horizontal = F * cos(angle)
= 45 N * cos(30 degrees)
= 45 N * (√3 / 2)
≈ 38.9 N
Now, we can calculate the work done by the force using the equation:
Work = Force * Distance * cos(theta)
where theta is the angle between the force and the displacement.
Work = F_horizontal * Distance * cos(0)
= 38.9 N * 8 m * cos(0)
= 38.9 N * 8 m
= 311.2 Joules
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A cell of inter resistance of 0.5 ohm is connected to coil of resistance 4 ohm and 8 ohm joined in parallel.If there is current of 2A in 8 ohm,find the emf of the cell.
A cell of inter resistance of 0.5 ohm is connected to coil of resistance 4 ohm and 8 ohm joined in parallel.If there is current of 2A in 8 ohm, the electromotive force (emf) of the cell is approximately 14.5 volts.
To find the emf of the cell, we can apply Ohm's Law and Kirchhoff's laws to analyze the circuit.
Given:
Resistance of the coil, R1 = 4 ohm
Resistance of the other resistor, R2 = 8 ohm
Current passing through the 8-ohm resistor, I = 2A
First, let's analyze the parallel combination of the 4-ohm and 8-ohm resistors.
The total resistance of two resistors in parallel can be calculated using the formula:
1/Rp = 1/R1 + 1/R2
Substituting the given values, we have:
1/Rp = 1/4 + 1/8
1/Rp = 2/8 + 1/8
1/Rp = 3/8
Rp = 8/3 ohm
Now, let's consider the total resistance in the circuit, which includes the internal resistance of the cell (0.5 ohm) and the parallel combination of the resistors (8/3 ohm).
R_total = R_internal + Rp
R_total = 0.5 + 8/3
R_total = 1.833 ohm
Now, we can find the emf of the cell using Ohm's Law:
emf = I * R_total
emf = 2 * 1.833
emf ≈ 3.667 volts
Therefore, the emf of the cell is approximately 3.667 volts.
However, it is worth noting that the given current of 2A passing through the 8-ohm resistor does not affect the emf calculation since the emf of the cell is independent of the current in the circuit.
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This week we discuss injuries to the head, neck and spine. There are so many long term affects of so many different head injuries. One of the biggest changes to head injuries that we have seen in the last decade is the implementation of concussion protocol. No matter the age or activity, the medical world has a recommended protocol for possible concussions and any head injury.
This weeks assignment. Research concussion protocol and submit the following in a written paper format.
-What is a concussion?
-Why do we need to have a concussion protocol?
-Who needs a concussion protocol? This is in regards to caring for injuries, not the injured person itself,
-Is there a standard concussion protocol should you follow? What is it?
-At a minimum, concussion protocol steps should include the what people in the process?
-Have you or anyone you know had to follow concussion protocol for a head injury? Tell me about it.
This is due Sunday I want to get started on it please someone help me ?
Answer:
Concussion is the most common type of mild traumatic brain injury and can have serious consequences
Explanation:
Find the Magnitude of the resultant vector (the actual
path of the boat).
The picture is a little blurry, so here are the stats:
Velocity of the boat is 0.75 m/s
Velocity of the river is 1.2 m/s
The magnitude of the resultant vector, representing the actual path of the boat, is approximately 1.42 m/s.
To find the magnitude of the resultant vector, we need to consider the boat's velocity and the velocity of the river. The boat's velocity is given as 0.75 m/s, and the river's velocity is given as 1.2 m/s.
Since the boat is moving in a river, we can think of the boat's velocity as a combination of two velocities: its own velocity and the velocity of the river. The resultant vector represents the actual path of the boat, considering both velocities.
To calculate the resultant vector, we can use vector addition. The magnitude of the resultant vector can be found by taking the square root of the sum of the squares of the boat's velocity and the river's velocity. Mathematically, we have:
Resultant magnitude = √(boat velocity^2 + river velocity^2)
Plugging in the given values, we have:
Resultant magnitude = √(0.75^2 + 1.2^2)
= √(0.5625 + 1.44)
= √2.0025
≈ 1.42 m/s
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