A 7.13 kg bowling ball moves at 4.14 m/s. How fast must a 2.34 g Ping-Pong ball move so that the two balls have the same kinetic energy? Answer in units of m/s.

243.43 m/s

Explanation:

Hello,I can help you with this.

the kinetic energy is asociated to the mass and the speed of an object,and it is given by:

where:

is the kinetic energy

m is the mass  of the object

v is the speed of the object

Step 1

let

bowling ball =mass1=7.13 kg

Speed(1)=4.14 m/s

Ping-Pong ball

mass2=2.34 g

it is given in grams so we have to convert into Kg (dividing by 1000,1kg=1000 g)

so, mass2=0.00234kg

Step 2

according to the problem both have equal Kinetic energy

so the speed of the ping-pong ball should be 243.43 m/s

Have a good day.