   Chapter 6.1, Problem 6.1QQ

Chapter
Section
Textbook Problem

Two masses m1 and m2, with m1 < m2, have equal kinetic energy. How do the magnitude of their momenta compare? (a) Not enough information is given. (b) p1 < p2 (c) p1 = p2 (d) p1 > p2.

To determine
The comparison of magnitudes of momenta of two masses with different masses and equal kinetic energy.

Explanation

The relationship between the kinetic energy and the moment of inertia is,

KE=p22m

• K.E is the kinetic energy
• p is the momentum
• m is the mass

Rearranging the equation given as,

p=2mK.E

For constant kinetic energy,

pm

Conclusion:

The momentum of the particle with constant kinetic energy is directly proportional to the square root of the mass. For higher mass, the momentum will also higher. For lower mass, the momentum will also be lower

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