When hitting a racket, a ball with a mass of 111 g receives an acceleration of 2.9 m / s2

When hitting a racket, a ball with a mass of 111 g receives an acceleration of 2.9 m / s2, and a racket of 0.7 m / s2. What is the weight of the racket?

Problem data: mm (ball mass) = 111 g (in SI mm = 0.111 kg); am (acceleration received by the ball) = 2.9 m / s2; ar (racket acceleration) = 0.7 m / s2.

To calculate the mass of the racket, we apply Newton’s third law: Fm = Fr and mm * am = mp * ar, whence mr = mm * am / ar.

Let’s calculate: mр = 0.111 * 2.9 / 0.7 = 0.46 kg.

Answer: The racket has a mass of 0.46 kg.