Question

A force acts on a 4 kg mass and gives it an acceleration of 5 m/s² . The acceleration produced by the same force when acting on 2 kg mass is​

Answer 1

Answer:

Explanation:

FORCE WHEN MASS IS 4KG AND ACCELERATION IS 5M/S²

F=MA

F=4×5

F=20N

ACCELERATION WHEN FORCE IS SAME AS 20 N IS

F=MA

20/2=A

10M/S²=A

Answer 2

Answer :-

10m/s^2

Explanation :-

Given :

Mass = 4kg

Acceleration = 5m/s^2

To Find :

If same force is applied then what will be the acceleration of a 2kg object = ?

Solution :

We know,

$\boxed{\sf{}F=ma}$

where,

F is the force applied,

m is the mass,

a is the acceleration.

Force if object‘s mass is 4kg and it’s acceleration is 5m/s^2,

$\sf{}\implies F_1 = 4kg\times 5m/s^2$

$\sf{}\therefore F_1 = 20N$

According to the question,

F_1 =  F_2

So,

$\sf{}\implies F_2 = 2kg\times a$

$\sf{}\implies 20N =2kg \times a$

$\sf{}\implies \dfrac{20N}{2kg}=a$

$\sf{}\therefore a=10m/s^2$

There,acceleration is equal to 10m/s^2