Question

In: Physics

k1 = k2 m1=9m^2 P1=P2 What is the relationship between P1 and P2? The momentum will...

k1 = k2
m1=9m^2
P1=P2

What is the relationship between P1 and P2?
The momentum will be the same?

K represents kinetic energy

Solutions

Expert Solution

According to your statement I'm guessing that what you want to know because it seems like you have done some mistakes in writing the question statement. If your question statement differs from my solution you can provide me right statement in comment section and then I will provide you the best solution. Now, I am solving the problem according to my to my point of view and experience.

Here given that K1=K2 where K denotes Kinetic Energy

And M1=9M2

Now we want to know the relationship between P1 and P2 where P denotes the momentum of two bodies.

Let us assume that v1 and v2 is the velocity of bodies having mass M1 and M2 respectively.

Then Kinetic Energy will be

1/2 M1 (v1)2 = 1/2 M2 (v2)2

1/2 ×9M2(v1)2 = 1/2 M2 (v2)2

(v1/v2)2=(1/9)

v1/v2 = 1/3

3v1 = v2

Thus, Momentum will be

P1 = M1 × v1

P1 = 9M2 × (v2/3) = 3 M2 × v2 = 3 P2

Thus relationship between the momentum is P1 = 3P2

So, the two momentum are not same.


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