Shantanu's average velocity is 5 km/hour (or 5 km/hr) and his velocity in meters per second is 1.39 m/s.
What is Velocity?
Velocity is a vector quantity that describes the rate at which an object changes its position in a specific direction. In other words, velocity is the rate of displacement of an object per unit of time in a specific direction. It is a measure of both the speed and direction of an object's motion.
Shantanu's average velocity can be calculated by dividing the distance traveled by the time taken:
Average velocity = distance/time = 5 km/1 hour = 5 km/hour (or 5 km/hr)
To convert Shantanu's velocity to meters per second, we need to convert kilometers per hour to meters per second by multiplying by 0.2778 (1 km/hr = 0.2778 m/s):
Average velocity = 5 km/hour x 0.2778 m/s/km = 1.39 m/s (rounded to two decimal places)
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A person is hauling their taco stand and it takes 3,500 Joules of work to stop the taco stand. What force was exerted on the taco stand if it took 1.5 meters to stop the motion?
Given the work done, the force exerted on the taco stand through the given distance is 2.3 × 10³ Newtons.
What is Work done?Work done is simply defined as the energy transfer that takes place when an object is either pushed or pulled over a certain distance by an external force. It is expressed as;
W = f × d
Where f is force applied and d is distance travelled.
Given that;
Work done W = 3500J = 3500kgm²/s²Distance covered d = 1.5mForce applied F = ?W = f × d
3500kgm²/s² = f × 1.5m
f = 3500kgm²/s² ÷ 1.5m
f = 2.3 × 10³ kgm/s²
f = 2.3 × 10³ N
Given the work done, the force exerted on the taco stand through the given distance is 2.3 × 10³ Newtons.
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a 200 kg car is travelling at 33m/s. what is the kinectic energy of the car
Which phrases accurately describe an elliptical galaxy? Check all that apply.
may be egg-shaped
may be spiral-shaped
has no recognizable shape
has no new stars being formed
has almost no gas or dust between stars
Answer:
May be egg shaped
Has no new stars being formed.
Has almost no gas or dust between stars.
Explanation:
Elliptical galaxy is the collection of many stars which are bounded together gravitationally, which is smooth and ellipsoidal and shape and the appearance is featureless.
Elliptical galaxy is ovoid or spherical masses of stars.
It is found in galaxy clusters and compact galaxies.
It has no gas or dust between stars which result in low rates of star formation.
It is formed When two spirals collide, they lose their familiar shape, morphing into the less-structured elliptical galaxies.
Elliptical galaxy is made of old stars and have no gas and dust.
An example is elliptical galaxy m60 which shines brightly and is egg shaped.
Do we know which has more potential energy? object A or B? Best answer with reasoning gets brainliest.
Answer:
Object C has the most potential energy.
Between A and B, we do not know which has more potential energy.
Explanation:
We know the object with the most potential energy and this is the object at C.
Potential energy is the energy due to the position of a body above the ground surface.
The higher a body is above ground, the more its potential energy.
Potential energy = mass x acceleration due to gravity x height
So;
Object C has the most potential energy.
Between A and B, we do not know which has more potential energy.
This is because, the height and mass of the objects are not quantified using numbers.
Potential energy is a function of mass and height and acceleration due to gravity but acceleration due gravity is a constant.
Figure 2: The conversion of ethanol to acetaldehyde The molar mass of sugar is 180,16 g/mol. If 1801,6 grams of sugar was used in the alcohol fermentation reaction, how many grams of ethanol is produced? Choose 1 answer: a. 230.4 g
b. 921.4 g c. 1842.8 g
d. 460.7 g
230.4 gm of ethanol is produced in the conversion of ethanol to acetaldehyde and the molar mass of sugar is 180,16 g/mol.
Fermentation is a metabolic process that converts sugar to acids, gases or alcohol. It occurs in yeast and bacteria, and also in oxygen-starved muscle cells, as in the case of lactic acid fermentation. Fermentation is also used more broadly to refer to the bulk growth of microorganisms on a growth medium, often with the goal of producing a specific chemical product like enzyme, vaccines, antibiotics, food product/additive etc.
Pyruvate is CH3COCOO− is inorganic phosphate. Two ADP molecules and two Pi are converted to two ATP and two water molecules via substrate-level phosphorylation. Two molecules of NAD+ are also reduced to NADH.
In oxidative phosphorylation the energy for ATP formation is derived from an electrochemical proton gradient generated across the inner mitochondrial membrane (or, in the case of bacteria, the plasma membrane) via the electron transport chain. Glycolysis has substrate-level phosphorylation (ATP generated directly at the point of reaction).
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92.14 gm ethanol will be produced, if 180.16 grams of sugar was used in the alcohol fermentation reaction.
Alcohol fermentation is the breakdown reaction of sugar in the absence of oxygen, to produce wine(ethanol) and carbon dioxide. Following reaction takes place:
C₆H₁₂O₆ → 2C₂H₅OH + 2CO₂
Chemical formula of the sugar is C₆H₁₂O₆,
Chemical formula of ethanol is C₂H₅OH
Atomic weight of sugar = (12×6 + 12×1 + 16×6) = 180 gm/mole
Atomic weight of ethanol = (12×2 + 5×1 +16+1) = 46 gm/mole
180 gm of sugar makes one mole, which produces 2 moles of ethanol.
So the weight of ethanol produced will be 2 × 46.07 = 96.14 gm
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How to find the angle in a projectile motion when displacement and heigh are the same
projectile's vertical speed v yv y v, start , y, drops prior to reaching its maximum height since its acceleration is in the opposite direction. Since the object's height is rising, the initial direction of the velocity is upward
.
At the projectile's highest point, vertical velocity zeroes out. After reaching the highest point, the vertical speed increases due of the same-direction acceleration. As the object's height lowers, the vertical velocity has a downward direction.
In projectile The beginning vertical velocity determines the maximum height. Increasing the launch angle raises the maximum height because steeper launch angles have a larger vertical velocity component.
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Why is it incorrect to say that astronauts are weightlesS in space while orbiting Earth in a space shuttle?
This is because Gravity exists everywhere in the universe.
What is Gravity?This is the force of attraction which acts on all matters in the universe. Astronauts appear weightless while in orbiting the Earth because the space shuttle and the astronauts are in free fall around it.
They fall at the same rate as the space shuttle which is why the astronauts appear weightless.
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Astronauts and their spaceship are affected by Earth's gravity in space. Even though Earth's gravitational influence is weaker in orbit than on Earth's surface, they have weight. They don't feel their weight since nothing's pushing back.
What is weightlessness in space?Weightlessness means no weight. It's also called zero-G. Weight is the force on a stationary object in a strong gravitational field.
The sensation of weightlessness that astronauts on board the International Space Station enjoy is due to the fact that they are free falling toward the planet Earth. Because the space station and the astronauts are moving at the same rate, there is no external normal force acting upon the body in free fall to balance out the effects of the body's own weight (equal to g).
Therefore, the astronauts and their spaceship continue to have mass and are still affected by the gravitational pull of the Earth.
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A force of 1000N is used to kick a football of mass 0.8kg find the velocity with which the ball moves if it takes 0.8 sec to be kicked.
The velocity of the ball is 100m/s
The first step is to write out the parameters;
The force used to kick the ball is 1000N
The mass of the ball is 0.8 kg
Time is 0.8 seconds
Therefore the velocity can be calculated as follows
F= Mv-mu/t
1000= 0.8(v) - 0.8(0)/0.8
1000= 0.8v- 0.8/0.8
Cross multiply both sides
1000(0.8) = 0.8v
800= 0.8v
divide both sides by the coefficient of v which is 8
800/0.8= 0.8v/0.8
v= 1000m/s
Hence the velocity is 1000m/s
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A ball is dropped. Assuming free fall, what is its initial speed?
For any freely falling item, the acceleration in the kinematic equations is -9.8 m/s/s, whether or not this is explicitly stated.
The supplied problem informs us that a ball was dropped and is supposed to be falling freely. Since the problem does not specify whether any other forces were present to influence the ball's motion, we must assume that the initial speed is v0=0 m/s.
Free-falling accelerates at a rate of 9.8 m/s2, which is referred to as the acceleration owing to gravity because it is being drawn towards the center of the earth. This indicates that a=9.8m/s2 is the value of the initial and final accelerations.
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Why would citizens need to be wary of debris on the road?
A car starts at a position of 1 km and moves to a final position of -3 km. What is the total distance traveled by the car?
The total distance covered by the car is 4 kilometers, this is because we are taking into account displacement and not just distance.
What is displacement?Displacement is defined as the change in the position of an object while distance is an object's overall movement in a directionless fashion.
There are many different units that can be used to measure distance (inches, feet, miles, kilometers, and centimeters), but the meter is the SI unit. It is a scalar amount because it does not consider
On the number line, we can see the movement as follows
1 0 -1 -2 -3= 4km
Distance is always positive and never gets smaller as you move. Displacement can be negative, positive, or zero because it refers to the change in the position of an object with respect to its original location.
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Calculate the current if 10 coulombs of charge passes a point in 10 seconds.
Answer:
1A
Explanation:
=> Current (I) = q/t
Here charge (q) = 10C and time = 10sec
=> I = 10/10 = 1A
When the bell in a clock tower rings with a sound of 474 Hz, a pigeon roosting in the belfry flies directly away from the bell.
If the pigeon hears a frequency of 453Hz, what is its speed?
Answer:
15.44 m/s
Explanation:
Below is the given values:
The bell in rings with a sound = 474 Hz
If the frequency of pigeon hears = 453 Hz
Speed = ?
Use below formula:
Frequency = [(Vs - Vo) / Vs ] x fo
Vs = Speed of sound
Vo = Speed of observer
fo = Sound frequency
Frequency = [(Vs - Vo) / Vs ] x fo
453 = [(343 - Vo) / 343 ] x 474
453 / 474 = [(343 - Vo) / 343 ]
0.955 = (343 - Vo) / 343
0.955 x 343 = 343 - Vo
327.56 = 343 - Vo
Vo = 343 - 327.56
Vo = 15.44 m/s
A plank AB 3m long weighing 20kg and with center of gravity 2m from the end A carries a load of mass 10kg at the end A it rests on two supports CandD.
1, compute the values of the reaction forces R1 and R2 at C and D.
2, how far from D and on which side of it must a mass of 24kg be placed on the plank so as to make the reactions equal? What are their values.
3,without this 24kg what vertical force applied at B will just lift the plank clear of D? What is then the reaction at C.
The answers are 1) The value of R2 is not relevant as it implies a downward force on the plank, 2) The reactions at C and D are 66.3 N and 90 N, respectively, and 3) The vertical force at B to lift the plank clear of D is 686.4 N. The reaction at C is zero, and the reaction at D is 61.4 kg.
1) R1 and R2 at C and D respectively are given by the equation R2 = (m1 + m2)g - R1, where m1 and m2 are the masses of the plank and load, respectively, and g is the acceleration due to gravity. Hence, substituting values R2 = (20 + 10) × 9.81 - R1 = 294.3 - R1. Now, taking moments about D, the following equation can be obtained: (20 × 1 + 10 × 3)g = R1 × 2 + R2 × 3 = 2R1 + 3 × (294.3 - R1) = 882.9 - R1, from which R1 = 343.7 N and R2 = 294.3 - 343.7 = -49.4 N. Since the support at D can only push the plank upwards and cannot pull it downwards, a negative value for R2 implies that the plank is actually being pulled downwards by an external force. Therefore, the value of R2 is not relevant. 2) The total weight of the plank and the load acting at the end A is 20 + 10 = 30 kg. For the reactions at C and D to be equal, the 24 kg mass must be placed at a distance x from D such that x × 30 = 24 × 6, from which x = 12/5 = 2.4 m. Since the 24 kg mass is being placed to the left of the plank, it will cause the reaction at C to decrease and that at D to increase. Thus, if R is the vertical force applied at B, then taking moments about D gives 20g × 1 - 10g × 3 + R × 6 = 0, from which R = 90 N. Taking moments about C gives R × 3 - 10g × 2 = 0, from which R = 66.3 N. 3) The vertical force applied at B that will just lift the plank clear of D is the weight of the plank and the load acting at the end A plus the weight of the part of the plank that is to the right of D. The weight of the plank and the load acting at the end A is 20 + 10 = 30 kg, and the weight of the part of the plank that is to the right of D is 24 × 1.6 = 38.4 kg. Therefore, the vertical force applied at B that will just lift the plank clear of D is (20 + 10 + 38.4)g = 686.4 N. The reaction at C is zero because the plank is not being supported there anymore. The reaction at D is the same as the weight of the plank and the load acting at the end A plus the weight of the part of the plank that is to the right of D, which is 20 + 10 + 24 × 1.6 = 61.4 kg.For more questions on acceleration
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ASSIGNMENT what is the length of wire whose resistivity 3x10^-6ohm with the r=0.2mm with a given Value of 15.552 Resistance.
The length of wire whose resistivity is 3 x 10^-6ohm, and radius is 0.2 mm, with a given value of 15.552 resistance is 6.5268 m.
Given data: r = 0.2 mm = 0.2 x 10^-3m Resistivity = 3 x 10^-6 ohm R = 15.552 ohm
Formula Used: Resistivity (ρ) = (RA)/L
Where, R is resistance, A is the area of cross-section, L is the length of the wire.
Resistance (R) = ρ (L/A)
Multiplying A on both sides, we get
Resistance (R) x A = ρ L ... equation (1)
Area of the cross-section of a wire of radius (r) is given by, A = πr^2
where, π is a constant whose value is 3.14
Substituting the given values, we get
A = πr^2= π (0.2 x 10^-3m)^2= 1.2566 x 10^-7 m^2
Substituting the values of R, A and ρ in equation (1), we get
Length of wire (L) = (Resistance x Area) / Resistivity= (15.552 ohm x 1.2566 x 10^-7 m^2) / (3 x 10^-6 ohm)= 6.5268 m
Therefore, the length of wire whose resistivity is 3 x 10^-6ohm, and radius is 0.2 mm, with a given value of 15.552 resistance is 6.5268 m.
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150 ml
Water at 22 °C
Iron at
125 °C
What is a possible
temperature of the
system after the iron
has been added to
the beaker?
A. 147 °C
B. 52°C
C. 125 °C
D. 19 °C
The possible temperature of the system after the iron has been added to the beaker is 52°C.
option B.
What is equilibrium temperature?A system is said to be in thermal equilibrium when there is no temperature difference between system and surroundings. Temperature, as you know, measures how hot or cold a body is with respect to a standard object.
When a system ( cold and hot body) reaches thermal equilibrium or equilibrium temperature, the heat lost by the hot body will be equal to the heat gained by the cold body.
heat gained by the water = heat lost by the iron
The equilibrium temperature will be greater than the initial temperature of the cold body but less than the final temperature of the hot.
Thus, the only possible answer for the equilibrium temperature of mixture is 52⁰C.
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Someone please help!!! I dont understand this at all.
The ions are;
S^2- Gained 2 electrons
Li^+ - Lost one electron
Al^3+ - Lost 3 electrons
Cl^- gained one electron
Sr^2+ Lost two electrons
P^3- gained 3 electrons
How are ions formed?As an atom or molecule acquires or loses one or more electrons, ions are created. Protons and neutrons make up the positively charged nucleus of an atom, which is encircled by negatively charged electrons. An atom typically has a neutral charge because the amount of electrons and protons in it equals one.
The balance between the negatively charged electrons and positively charged protons is upset when an atom receives or loses an electron, creating an ion with a positive or negative charge.
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What is kci and o2 classified as
KCl ( potassium chloride ) is classified as solid substance while O₂ ( oxygen molecule ) is classified as gaseous substance.
What is KCl?
KCl is an abbreviation for potassium chloride. Potassium chloride ( KCl ) naturally occurs as a white or colorless solid that has a powdery, crystalline appearance.
Potassium chloride ( KCl ) is one of the important raw materials required in the manufacture of potassium metal.
The metal halide salt KCl is also used in the manufacture of soaps.
The chemical formula of potassium chloride ( KCl ), consists of one potassium ( K ) atom and one chlorine ( Cl ) atom.
O₂ is a substance that is known as oxygen molecule and it usually exist in gaseous state.
Thus, we can conclude that we can classify O₂ ( oxygen molecule )which is known as oxygen molecule as gas, and KCl ( potassium chloride ) known as potassium chloride as solid substance.
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34. [8 Marks] A spring is compressed with a 5.0 kg mass by 20.0 cm from its equilibrium position. When the spring is released, the 5.0 kg mass travels along a smooth horizontal surface and then up a frictionless plane at 30° to the horizontal. Calculate the distance it would travel up the inclined plane before coming back down again.
Answer and Explaination:
To solve this problem, we can analyze the forces acting on the mass as it travels up the inclined plane. We'll consider the gravitational force and the force exerted by the spring.
1. Gravitational force:
The force due to gravity can be broken down into two components: one perpendicular to the inclined plane (mg * cosθ) and one parallel to the inclined plane (mg * sinθ), where m is the mass and θ is the angle of the inclined plane.
2. Force exerted by the spring:
The force exerted by the spring can be calculated using Hooke's Law, which states that the force exerted by a spring is directly proportional to the displacement from its equilibrium position. The force can be written as F = -kx, where F is the force exerted by the spring, k is the spring constant, and x is the displacement from the equilibrium position.
Given:
Mass (m) = 5.0 kg
Compression of the spring (x) = 20.0 cm = 0.20 m
Angle of the inclined plane (θ) = 30°
First, let's find the force exerted by the spring (F_spring):
F_spring = -kx
To find k, we need the spring constant. Let's assume that the spring is ideal and obeys Hooke's Law linearly.
Next, let's calculate the gravitational force components:
Gravitational force parallel to the inclined plane (F_parallel) = mg * sinθ
Gravitational force perpendicular to the inclined plane (F_perpendicular) = mg * cosθ
Since the inclined plane is frictionless, the force parallel to the inclined plane (F_parallel) will be canceled out by the force exerted by the spring (F_spring) when the mass reaches its highest point.
At the highest point, the gravitational force perpendicular to the inclined plane (F_perpendicular) will be equal to the force exerted by the spring (F_spring).
Therefore, we have:
F_perpendicular = F_spring
mg * cosθ = -kx
Now, let's substitute the known values and solve for k:
(5.0 kg * 9.8 m/s^2) * cos(30°) = -k * 0.20 m
49.0 N * 0.866 = -k * 0.20 m
42.426 N = -0.20 k
k = -42.426 N / (-0.20 m)
k = 212.13 N/m
Now that we know the spring constant, we can calculate the maximum potential energy stored in the spring (PE_spring) when the mass reaches its highest point:
PE_spring = (1/2) * k * x^2
PE_spring = (1/2) * 212.13 N/m * (0.20 m)^2
PE_spring = 4.243 J
The maximum potential energy (PE_spring) is equal to the maximum kinetic energy (KE_max) at the highest point, which is also the energy the mass has gained from the spring.
KE_max = PE_spring = 4.243 J
Next, we can calculate the height (h) the mass reaches on the inclined plane:
KE_max = m * g * h
4.243 J = 5.0 kg * 9.8 m/s^2 * h
h = 4.243 J / (5.0 kg * 9.8 m/s^2)
h = 0.086 m
The height the mass reaches on the inclined plane is 0.086 m.
Now, we can calculate the distance traveled.
A 5.0 kg object compresses a spring by 0.20 m with a spring constant of 25 N/m. It climbs an incline, reaching a maximum height of 0.0102 m before coming back down, traveling a total distance of 0.0428 m.
Given data: Mass of the object, m = 5.0 kg, Displacement of the spring, x = 20.0 cm = 0.20 mAngle of the inclined plane, θ = 30°Calculating the spring constant, k. Using Hooke’s Law; F = -kx Where F is the restoring force required to bring the spring back to its equilibrium position.From the equation, F = ma For the object attached to the spring,m * a = -kx. On integrating,∫ma dt = -∫kx dt .On integrating the left side with limits from 0 to t and right side with limits from 0 to x, where the limits on the left are for acceleration and the right are for the displacement of the spring; mv - mu = -½ kx²At maximum compression, the velocity of the mass is zero, i.e., v = 0 and the initial velocity is also zero. Therefore, mv - mu = -½ kx²0 - 0 = -½ k (0.20)²∴ k = 25 N/mWork done on the spring in compressing it, W = ½ kx² = 0.5 * 25 * (0.20)² = 0.5 JSince the inclined plane is frictionless, the only force acting on the object will be the component of its weight acting along the plane. Hence, it will move up the incline with an acceleration of, a = g sin θ = 9.8 * sin 30° = 4.9 m/s²When the object has reached its maximum height, its velocity will be zero. Using the equation of motion; v² - u² = 2as0 - u² = 2as∴ s = u² / 2a. Now, the initial velocity of the object up the incline is,u = √(2gH)Where H is the height to which it climbs, and is given by, H = W / m g Where W is the work done on the object in lifting it to height H, and m is the mass of the object. W = 0.5 J, m = 5 kg. So, H = 0.5 / (5 * 9.8) = 0.0102 m∴ u = √(2gH) = √(2 * 9.8 * 0.0102) = 0.4525 m/sNow, the distance traveled by the object up the incline is,s = u² / 2a = (0.4525)² / (2 * 4.9) = 0.0214 m. When the object comes back down, it will travel the same distance down the incline, before coming to rest. Therefore, the total distance travelled up and down the incline is,2s = 2 * 0.0214 = 0.0428 m.For more questions on the spring constant
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A mixture has particles that cannot be seen but do reflect light. It should be classified as a
Answer:
A mixture has particles that cannot be seen but do reflect light. It should be classified as a colloid. A colloid is a mixture in which one substance is suspended throughout another substance.
Explanation:
A wave with a frequency of 17 Hz has a wavelength of 5 meters. At what speed will this wave travel?
Answer:
85
Explanation:
soln
given that;
frequency=17Hz
wavelength=5m
speed?
formula for wavelength is;
wavelength= speed/frequency
then ; making v the subject formula
we have that v=wavelength*frequency
v=17*5=>85ms
A student investigated heat transfer using a bottle of water. The student placed the bottle in a room at 20.5DC. The student measured the temperature of the water in the bottle at 7 a.m. and again at 3 p.m. The data from the investigation are shown in the table below.Compare the average kinetic energy of the water molecules in the bottle at 7 a.m. to the average kinetic energy of the water molecules in the bottle at 3 p.m.
The molecule were increased in kinetic energy but in a random structure. Thus, option 2 is correct.
Which of the seven types of energy can be seen in practice?Energy can take many different forms. Some examples of these are: nuclear and atomic energy, thermal energy, energy of motion, gravitational energy, electrical energy, elastic energy, fuel cells, and so on.
What kinds of real-world uses are there for thermal energy?Things are heated, water is boiled, eggs are fried, and metal is melted for automobile construction. Heat is converted into electricity at a thermal power plant, which powers our daily activities. The term "temperature" refers to the degree to which something is hot or cold. The temperature is measured in degrees Celsius.
Given:
At 3 p.m., the water temperature is raised.
The average kinetic energy of an object is proportional to its temperature. As a result, as temperature rises, so does average kinetic energy. Kinetic energy is caused by the random movement of molecules.
Correct answer: The kinetic energy of the molecule was increased, but in a random structure.
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Complete question:
Particles q₁ +8.0 μC, q₂ +3.5 μC, and
93 -2.5 μC are in a line. Particles q₁ and q2 are
separated by 0.10 m and particles q2 and q3 are
separated by 0.15 m. What is the net force on
particle q₂?
Remember: Negative forces (-F) will point Left
Positive forces (+F) will point Right
The net electric force on particle 2 is -21.7 N.
What is the net force on particle q₂?
The net force on particle q₂ is determined by applying Coulomb's law of electrostatic force.
F = kq₁q₂ / r²
where;
k is coulomb's constantq is the magnitude of the charger is the distance between the chargeThe force between particle 2 and particle 1 is calculated as;
F = -( 9 x 10⁹ x 8 x 10⁻⁶ x 3.5 x 10⁻⁶ ) / (0.1)²
F = - 25.2 N
The force between particle 2 and particle 3 is calculated as;
F = ( 9 x 10⁹ x 2.5 x 10⁻⁶ x 3.5 x 10⁻⁶ ) / (0.15)²
F = 3.5 N
The net force on particle 2 = 3.5 N - 25.2 N = -21.7 N
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A rocket carrying a new 960-kg satellite into orbit misfires and places the satellite in an orbit with an altitude of 120 km, well below its operational altitude in low-Earth orbit.
(a) What would be the height of the satellite's orbit if its total energy were 550 MJ greater?
(b) What would be the difference in the system's kinetic energy? (Include the sign of the value in your answer.)
(c) What would be the difference in the system's potential energy? (Include the sign of the value in your answer.)
These answers are all in MJ. (Please answer the question instead of taking all of the points)
Answer:(a) To find the height of the satellite's orbit if its total energy were 550 MJ greater, we can use the following equation:
K2 + U2 = K1 + U1 + 550 MJ
Since the satellite is in a circular orbit, its kinetic energy is given by:
K = (1/2)mv^2
where m is the mass of the satellite, and v is its velocity.
We can use the following equation to relate the height of the satellite's orbit to its velocity:
v = sqrt(GM/R)
where G is the gravitational constant, M is the mass of the Earth, and R is the radius of the Earth plus the height of the satellite's orbit.
Therefore, we can express the kinetic energy of the satellite in terms of its height:
K = (1/2)m(GM/R)
Using these equations, we can rewrite the conservation of energy equation as:
(1/2)m(GM/(R1+h1)) - GMm/(R1+h1) = (1/2)m(GM/(R2+h2)) - GMm/(R2+h2) + 550 MJ
where R1 is the radius of the Earth, and R2 is the radius of the Earth plus h2.
Simplifying and solving for h2, we get:
h2 = [(GMm/(R1+h1)) - (GMm/(R2+h2)) - 550 MJ/(GM/(R2+h2))]^(-1) - R2
Plugging in the given values, we get:
h2 = 931 km
Therefore, the height of the satellite's orbit would be 931 km if its total energy were 550 MJ greater.
(b) To find the difference in the system's kinetic energy, we can use the following equation:
Delta K = K2 - K1
Substituting the expressions for K1 and K2, we get:
Delta K = (1/2)m(GM/(R2+h2)) - (1/2)m(GM/(R1+h1))
Plugging in the given values, we get:
Delta K = -7.5 x 10^9 J
The negative sign indicates that the system's kinetic energy has decreased.
(c) To find the difference in the system's potential energy, we can use the following equation:
Delta U = U2 - U1
Substituting the expressions for U1 and U2, we get:
Delta U = -GMm/(R2+h2) + GMm/(R1+h1)
Plugging in the given values, we get:
Delta U = 5.9 x 10^9 J
The positive sign indicates that the system's potential energy has increased.
Explanation:
A disk of a radius 50 cm rotates at a constant rate of 100 rpm. What distance in meters will a point on the outside rim travel during 30 seconds of rotation?
Answer:
the distance in meters traveled by a point outside the rim is 157.1 m
Explanation:
Given;
radius of the disk, r = 50 cm = 0.5 m
angular speed of the disk, ω = 100 rpm
time of motion, t = 30 s
The distance in meters traveled by a point outside the rim is calculated as follows;
\(\theta = \omega t\\\\\theta = (100 \frac{rev}{\min} \times \frac{2\pi \ rad}{1 \ rev} \times \frac{1\min}{60 s} ) \times (30 s)\\\\\theta = 100 \pi \ rad\\\\d = \theta r\\\\d = 100\pi \ \times \ 0.5m\\\\d = 50 \pi \ m = 157.1 \ m\)
Therefore, the distance in meters traveled by a point outside the rim is 157.1 m
Two students are debating about the nature of light:a.Student 1: Looking at the chart, I see that light with a shorter wavelength has the highest frequency. But all light has the same speed.b.Student 2: I disagree with your Student 1. If light has a higher frequency, then it will have a faster speed than light with a lower energy.
Answer:
student 1 is right and student 2 is wrong
Explanation:
In the graph that the two students are observing is a graph of energy and frequency vs. wavelength, this graph is constructed using the relationship between a wave and its wavelength and frequency.
c = λ f
therefore for all waves we have the speed salami.
Therefore student 1 is right and student 2 is wrong
90 V
R₁
60
R2
30
R3
30
Based on the circuit above, what would be the current through the R3 resistor?
In the parallel combination, the current through R3 is 3 A. In the series combination, the current through R3 is 0.75 A.
To determine the current through resistor R3 in both the parallel and series combinations, we need to apply Ohm's Law and the appropriate formulas for calculating total resistance and current in each configuration.
First, let's consider the parallel combination:
In a parallel combination, the voltage across each resistor is the same. Therefore, the voltage across R3 is also 90 V.
Using Ohm's Law (V = I × R), we can calculate the current flowing through R3 in the parallel combination:
I_parallel = V / R3
= 90 V / 30 Ω
= 3 A
So, in the parallel combination, the current through R3 is 3 A.
Now, let's consider the series combination:
In a series combination, the total resistance is the sum of the individual resistances:
R_total = R1 + R2 + R3
= 60 Ω + 30 Ω + 30 Ω
= 120 Ω
To find the current through the series combination, we can use Ohm's Law:
I_series = V / R_total
= 90 V / 120 Ω
= 0.75 A
Therefore, in the series combination, the current through R3 is 0.75 A.
For more such questions on parallel combination visit:
https://brainly.com/question/15121871
#SPJ11
Note the complete questions is User
90 V R₁=60 R2= 30, R3 = 30
Based on the circuit above, what would be the current through the R3 resistor in parallel and in series combinantion.
2 part question
2. Write out the final answer for the coefficient of friction as the average of the values in the table (average all of your coefficients of frictions, and write that average below).
Answer for question #2
The average is = 0.2559975 or 0.256
3. Using similar methods as in questions #1 and #2, estimate the mass of the object in the present, the mystery mass. Include a description of the process and the mathematics of estimating the mass. Use the average coefficient of friction written in #2 to solve for the mystery mass.
4. Set an object (anyone you choose) to be moving at a constant speed. Describe the procedure for keeping the object moving at a constant speed. Write down the speed at which the object is moving, as well.
The first P-wave of an earthquake travels 5600 kilometers from the epicenter and arrives at a seismic station at 10:05 a.m. At what time did this earthquake occur?
Ahhhhhh I have a Regent's test in 2 hours and I don't know how to solve this type of question! Any help would be appreciated.
Anyone know what the steps to do this are? I dont even need an answer, just how to get to it. Thank you!
The earthquake would occur 13 minutes before 10:05 a.m. which will be at 9.52 am.
The p-waves travel with a constant velocity of 7 km/s
The time can be calculated by using the formula
t = d / v
where
T1 = 10:05 a.m
d is the distance they take to travel from the epicenter
v is the speed of the p-waves
On average, the speed of p-waves is
v = 7 km/s
d = 5600 km (given)
Substituting the values in the formula;
t = d / v
t = 5600 ÷ 7
t = 800 seconds
Converting into minutes,
t = 800 ÷ 60
t = 13.3
≈ 13 mins
T1 - 13 mins = T2
10:05 - 13 mins = 9.52 am
It means the earthquake occurred prior 13 minutes, that is at 9.52 am.
Therefore, the earthquake occurred at 9.52 am.
Learn more about earthquakes from the given link.
https://brainly.com/question/25843505
What is the correct definition of a resistor?
A) the difference in electric charge between two points
B) a substance capable of transmitting and creating an electric charge
C) a component that resists the flow of electricity
D) a device that allows electrical energy to flow through a complete path