Question

A baseball has a mass of 140. g, and a top major league pitcher can throw it at 46.0 m/s. if an 77.0 kg pitcher was standing on a sheet of ice and then threw the ball, what would his recoil speed be?

Answer 1

To find the recoil speed of the pitcher, you can use the principle of conservation of momentum.

Step-by-step explanation:

To find the recoil speed of the pitcher, we can use the principle of conservation of momentum. The initial momentum of the pitcher and the ball is zero since the pitcher is at rest. After throwing the ball, the total momentum of the system should still be zero.

We can use the equation:

Mass of pitcher × Recoil velocity of pitcher = Mass of ball × Velocity of ball

Plugging in the given values, we get:

(77.0 kg) × (Recoil velocity of pitcher) = (0.140 kg) × (46.0 m/s)

Simplifying the equation, we find:

Recoil velocity of pitcher = (0.140 kg) × (46.0 m/s) / (77.0 kg)

Calculating this, we can find the recoil velocity of the pitcher.