Question

A 6 kg bowling ball moves with a speed of 3 m/s. How fast does a 7 kg bowling ball need to move so that it has the same kinetic energy?

Answer 1

Answer: 7 kg bowling ball must move with a speed of 2.8 m/s so that it has the same kinetic energy.

Explanation:

Kinetic energy is the energy possessed by a body by virtue of its motion.

$K.E=\frac{1}{2}mv^2$

m = mass of object

v= velocity of the object

$K.E=\frac{1}{2}\times 6kg\times (3m/s)^2=27Joules$

b) for a 7 kg bowl to have kinetic energy of 27 Joules:

$27J=\frac{1}{2}\times 7kg\times v^2$

$v^2=7.7$

$v=2.8m/s$

Thus 7 kg bowling ball must move with a speed of 2.8 m/s so that it has the same kinetic energy