Question

Two balls of identical shape and size, but of different materials are acted upon by the same force, such that the acceleration of the first ball is only one - fourth that of the second ball. Calculate the ratio of the mass of the first ball with respect to that of the second ball.​

Answer 1

Answer:

I think 1:4 is the answer

Answer 2

Answer:

Given:-

• Two balls are of identical shape and size.
• Different materials are acted upon by the same force such that the acceleration of the first ball is only one - fourth that of the second ball.

To find:-

The ratio of the mass of the first ball with respect to that of the second ball.

Solution:-

Let the mass of the first ball be ${m_1}$

and the mass of the second ball be ${m_2}$.

Let the acceleration of the first ball be “a” and then acceleration of the second ball = 4a

ATQ,

Force acting on the first ball = force acting on the second ball.

So, mass of the first ball × its acceleration = mass of the second ball × its acceleration.

$\Longrightarrow$ ${m_1}$ × a = ${m_2}$ × 4a

$\Longrightarrow$ ${m_1}$ ÷ ${m_2}$ = 4a

${m_1}$ : ${m_2}$ = 4 : 1

Thus, the ratio of the mass of the first ball with respect to that of the second ball is 4 : 1