Question

How fast must a 2.7-g ping-pong ball move in order to have the same kinetic energy as a 145 g baseball moving at 37.0 m/s

Answer 1

271.14m/s

Step-by-step explanation:

The kinetic energy of the 145g is

mass= 0.145kg

velocity= 37m/s

KE=1/2mv^2

KE=1/2(0.145*37^2)

KE=1/2(0.145*1369)

KE=1/2(198.505)

KE=198.505/2

KE=99.25J

Now since the kinetic energy of the 2.7g must be 99.25J

mass =2.7g= 0.0027kg

99.25=1/2(0.0027)v^2

99.25=0.00135v^2

99.25/0.00135=v^2

73518.5185185=v^2

v=√73518.5185185

v=271.14m/s