Question

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 1

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

Answer 2

The mass of the first ball is 5 kg and mass of the second ball is 3.75 kg

From the question,

We are to determine the masses of the two balls.

From Newton's second law of motion formula,

We have

F = ma

Where F is the force

m is the mass

and a is the acceleration

Then, we can write the formula as

$m = \frac{F}{a}$

Now, for the first ball,

F = 15N

a = 3 m/s²

∴ $m= \frac{15}{3}$

m = 5 kg

Therefore, the mass of the first ball is 5 kg

For the second ball

F = 15N

a = 4 m/s²

∴ $m = \frac{15}{4}$

m = 3.75 kg

Therefore, the mass of second ball is 3.75 kg

Hence, the mass of the first ball is 5 kg and mass of the second ball is 3.75 kg

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