Question

A force of 15 N acts separately on two bodies of masses 3 kg and 5 kg. The ratio of the accelerations produces in the two cases will be

Answer 1

In first case accleration produced is 15/3 = 5m/s2
and in second case accleration produced is 15/5= 3m/s2
ratio of accleration produced in 2 cases will be 5:3

Answer 2

Given :

Force , F = 15 N .

Two objects of mass 3 kg and 5 kg .

To Find :

The ratio of the accelerations produces in the two cases .

Solution :

We know , acceleration is given by :

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

For mass 3 kg .

$a_1=\dfrac{15}{3}\ m/s^2\\\\a_1=5\ m/s^2$

For mass 5 kg .

$a_2=\dfrac{15}{5}\ m/s^2\\\\a_2=3\ m/s^2$

Therefore , the ratio is 5 : 3 .

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Force

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