If your momentum is zero, is your kinetic energy necessarily zero also?

Answer 1

I believe so. The formula for momentum is mass * velocity. If your mass is zero or velocity is zero, this will make your kinetic energy zero as well (formula for kinetic energy is 1/2 * Mass * velocity squared). Momentum and kinetic energy both deal with movement.

Answer 2

What are the formulas for momentum and kinetic energy? Show me those, I don't remember, and I'll tell you the answer to your question.

momentum = mass * velocity
kinetic energy = 1/2 mass * velocity squared
plug in zero and the answer in either case is zero

Answer 3

I have to say no. For one, if you do something like extend your arms symmetrically, they both have some kinetic energy, but the total momentum remains zero. Moreover, all the energy you have owing to your temperature is the kinetic energy of the molecules in your body.

Answer 4

It is. kinetic energy = (1/2)mv^2 = (1/2m)(mv)^2 = (1/2m)p^2

If you are looking at something with mass, kinetic energy is directly proportional to momentum squared .

Massless particles always have kinetic energy and momentum...

So the answer is yes. K=0 <==> p=0.

Answer 5

Yes.

Momentum = (mass)(velocity)

Kinetic energy = 1/2 (mass) * (velocity)squared

If momentum is zero, that means that either mass or velocity is zero. Multiplying by zero results in zero.

Answer 6

Kinetic energy (KE) is your moving energy & momentum is a "state" of movement: thus i'll think if your momentum is zero (ur kinetic energy should change to potential energy) then ur KE is inexistant.

Answer 7

Yes, but only if measured in the same coordinate reference system. For a given mass, if v = 0, then V^2 = 0------> M = 0 = KE

Answer 8

Yes. Your potential energy would not be. Kinetic energy is that which is actually being expended.

Answer 9

momentum = m*v (m<>0 then v=0)
KE = 0.5 m*v = 0.5*m* 0 = 0

Yes

Answer 10

Really not sure about this one