Question

10. Two balls are simultaneously applied with a force of 20 N. One ball has a mass of 0.3 kg and the other has 0.4 kg. Which ball has greater acceleration?

A. They will both accelerate at the same rate.
B. None of them will accelerate greater than the other.
C. The one with a mass of 0.3 kg has the greater acceleration.
D. The one with a mass of 0.4 kg has the greater acceleration.​

Answer 1

Answer:

The answer is

option c

Reason

• Acceleration is inversely proportional to mass ( force is constant)

You can also verify the answer by using

Acceleration on 0.3 kg by using this formula

$20 \div 0.3 = 66.67 \: {ms - }^{2}$

And for the Acceleration in 0.4kg using formula

$20 \div 0.4 = 50 {ms - }^{2}$

Therefore we get to know

Acceleration in body 0.3kg is greater than that on body of 0.4kg.

Answer 2

Given:

Force acting on the balls $\[ = 20\,N\]$

Mass of the first ball $\[ = 0.3\,kg\]$

Mass of the second ball $\[ = 0.4\,kg\]$

To Find: Ball having greater acceleration

Solution:

Force can be given as:

$\[F = mass \times acceleration\]$

Therefore, acceleration will be

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

For the first ball

$\[{a_1} = \frac{{20\,N}}{{0.3\,kg}}\]$

$\[{a_1} = 66.66\,m{s^{ - 2}}\]$    ... (i)

For the second ball

$\[{a_2} = \frac{{20\,N}}{{0.4\,kg}}\]$

$\[{a_2} = 50\,m{s^{ - 2}}\]$         ... (ii)

From (i) and (ii),

Acceleration of the first ball is greater than the acceleration of the second ball.

Hence, the ball with a mass of 0.3 kg has the greater acceleration. Thus, the correct option is C.