7) A bowling ball rolled with a force of 15 N accelerates at a rate of 3 m/s2; a second ball rolled with

the same force accelerates 4 m/s. What are the masses of the two balls?

Answer: Mass of the first ball is 5kg; Mass of second ball is 3.75kg

Explanation:

Given that:

Force of first ball = 15 N

Acceleration of first ball = 3 m/s2

Mass of first ball M1 = ?

Force of second ball = 15N (same force)

Acceleration of second ball = 4 m/s2

Mass of first ball M2 = ?

A) Since force is a product of mass of a substance by the acceleration by which it moves: Force = Mass x acceleration

For first ball, Force = M1 x A

15 N = M1 x 3 m/s2

M1 = 15N/3 m/s2

M1 = 5 kg

B) For second ball, Force = M2 x A

15 N = M2 x 4 m/s2

M2 = 15N/4m/s2

M2 = 3.75kg

Thus, the mass of the first ball is 5kg while the second ball is 3.75kg