Question

Two bodies of masses 4 kg and 5 kg are acted upon by the same force. If the acceleration of the lighter body is 3m/s2 then find the acceleration produced in heavier body . What will be the acceleration if that greater force is applied on the bodies tied together

Answer 1

Let. mass of lighter body = m(1)

Let mass of heavy body = m(2)

Acceleration of the lighter. body =

✦GIVEN

m(1)=4kg

m(2)=5kg

✦PART 1 ☞

so The force which produce an acceleration in

lighter body

F= 12N

Now acceleration produced in heavier body

is equal. to force produce in lighter body

so acceleration in heavier body is

✦PART 2 ☞

NOW greater force is applied on the mass tied together .

the acceleration is equal to

Answer 2

Force=(3m/s/s)4kg=12N

Therefore 12N=5kg (a)

a=12/5 m/s^2

12N=(4+5)kg×A

A=4/3 ms^-2