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Chapter 1: Q2DQ (page 262)

Suppose you catch a baseball and then someone invites you to catch a bowling ball with either the same momentum or the same kinetic energy as the baseball. Which would you choose? Explain.

Short Answer

Expert verified

We will choose the case that the bowling ball with less momentum because momentum determines the force needed to stop its motion

Step by step solution

01

Concept of momentum and kinetic energy

Momentum is created by multiplying a particle's mass by its speed.

⇒P=mv

A particle or an item that is in motion has a sort of energy called kinetic energy. Which is given by,

⇒K=12mv2

02

Finding that which is more suitable either the same momentum or the same kinetic energy

From step 1, we have

P = mv andK=12mv2

If the momentum is same,

From above 2 equations,

K=P22m

So, we can say that a massive bowling ball will have less kinetic energy

If the kinetic energy is the same then we have,

P=2m.K

So, we can say that a bowling ball will have greater momentum than a baseball.

The momentum of an object determines the force needed to stop it.

Here, we cannot choose less momentum. So, we choose the same momentum.

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