Question

A force produces an acceleration of 0.5m/s2 in a body of mass 3.0 kg if same force acts on a body of mass 1.5 kg the acceleration produced in it is

Answer 1

F=ma
F=3×.5
F=1.5

and in case 2
F=ma
a=F÷m

Answer 2

If same force acts on a body of mass 1.5 kg then the acceleration produced in it is 1 m/s²

Given : A force produces an acceleration of 0.5m/s² in a body of mass 3.0 kg.

To find : The acceleration produced on a body of mass 1.5 kg, if same force acts on it.

Solution :

We can simply solve this numerical problem by using the following process. (our goal is to calculate the required acceleration)

First of all, we have to calculate the magnitude of the force.

Here, we have to use the following mathematical formula.

Force = Mass × Acceleration

In the first case,

• Mass = 3 kg
• Acceleration = 0.5 m/s²

So,

Force = 3 × 0.5 = 1.5 N

In the second case,

• Mass = 1.5 kg
• Force = 1.5 N

So,

1.5 = 1.5 × Acceleration

Acceleration = 1.5/1.5 = 1 m/s²

(This will be considered as the final result.)

Hence, if same force acts on a body of mass 1.5 kg then the acceleration produced in it is 1 m/s²