Question

A force F produces an acceleration 'a' in a body.The same force produces and acceleration 4a in another body. The mass of another body is​

Answer 1

Answer:

¼m

Explanation:

Given :

• Force produced in the body = F

• Acceleration produced with a force F = a

• Acceleration produced in other body by same force = 4a

To find :

• Mass of the other body where acceleration produced is 4a

First body:

F = m×a

F/a = m - - - (1)

Second body:

Let mass be x

F = X × 4a

F/4a = X

Solving the equation we get :

X = ¼m

The mass of another body is ¼m

Answer 2

Given :-

• Same force act on both body =F

• Acceleration produced(in first case) =a

• Acceleration in second case =4a

To Find:-

• Mass of another body (in second case).

Solution :-

• Let the mass of body( in first case )=m

we know that

Force =Mass × acceleration

➦ In first case

F =m× a...................... .......(i)

and

➦ In second case

F=m'× 4a..............................(ii)

From equation (i) and (ii) we get

➭ m × a = m'× 4a

➭ m = 1/4m'

∴The mass of second body is 1/4m'