Hey all you science geeks out there, think you can answer this one?

Question

short answers, not long, good luck!

1. How is energy related to motion?
2. How is energy related to force?
3. How is energy related to power?
4. Two cars have the same momentum. One car weighs 5000 N and the other weighs 10,000 N. Which car has a greater kinetic energy? Explain your answer.

Answer 1

1. Kinetic energy is the energy of motion. That is, it is a measure of how much energy is need to accelerate a moving object (that is, change its speed).

The relationship is given in the equation

KE = 1/2 m * v^2

2. Potential energy is related to force. Since only differences in potential energy are important, forces must be applied to change an object's potential energy.

For example, to raise a book above your head you must apply a force. At the same time, you are increasing the book's PE. If you lower the book, you are decreasing the book's PE, and gravity is applying the force.

Potential energy is related to force through the equation

F = - d(PE)/dx (where d / dx represents a derivative)

3. Power is a measure of the rate of energy over time. More energy in a short amount of time means a lot of power.

P = d(E)/dt, or if the amount of energy supplied is constant,

P = E / t

4. Well, let's see. Let car 1's mass be m and car 2's mass be M. Let car 1's velocity be v and car 2's velocity be V.

Since they have the same momentum, m*v = M*V

This tells us that car 1 MUST be traveling faster since it weighs much last.. It must be traveling twice as fast since it weight half as much.

Then take the ratio, KE (car 1) / KE (car 2)

1/2 m * v * v
--------------------
1/2 M * V * V

Since 1/2 = 1/2 and m*v = M*V, this reduces to

v
--
V

Since v > V, the ratio is greater than 1, hence car 1 has more kinetic energy. In fact, it has twice as much!

Answer 2

1. Motion - change in space (call it some distance x)
speed - change in space per time (x/t = v)
acceleration - change in speed per time (v/t = a)
Force = mass (of the object in motion) * acceleration
See 2. for how that relates to energy.

2. energy = -x * force
(for mechanical energy. There are other of kinds of energy magnetic, static electric, gravitational, etc. )

3. power = energy / time

4. Kinetic Energy (KE) = 1/2*mass*(speed^2) ('^' means raised to the power of) To get a complete answer, I'd need the speeds of the cars. If they are going the same speed, then the heavier car will have the greater KE.

Answer 3

1. Every moving body has kineic energy, which is equal to (1/2mv^2). the more speed it has the more kinetic energy it has.

2.When force is applied to the body, it causes acceleration(F=ma) if it is an accelerating force there is an encrease an energy due to the increase in velocity. and the reverse force causes a decrease in enery. normally, more force applied, more energy content of the system. like the spring, it it is streached more, more energy stored. etc.....
3. power is the rate of doing work( work done/time tiken)
and work is energy(as measured in joules also)
4. it both have similar momentum then mv=MV
if m=5000N
and M=10000N
then for the expression of momentum to be equal Vshould be less than v
and therefore since v is greater, body with mass m has more energy(1/2mv^2)

Answer 4

1) E = 1/2 m v^2 (half mass x velocity squared)
2) E = F.d (force x distance)
3) E = P.t (power x time)
4) The lighter one (5000N). Since it has twice the speed of the 10000N one (same momentum = m.v), it will have double the kinetic energy
1/2 . m . (2v)^2 = 2mv^2

Answer 5

(a million) Kinetic potential is related with action. (2) Kinetic potential is related with action created by way of rigidity or gravity. (3) the linked fee of potential according to unit time is noted as potential. (4) the single with lesser mass could have greater effective kinetic potential. when you consider which you're asking questions approximately potential, i opt for to invite you one question. Can potential be created? you would be able to quote some components, yet all of them are noted as potential conversion. technology has no clarification for it. Engineering says that potential can neither be created nor be destroyed!