Question

A body of mass 5 kg gains acceleration of 2 m.s

-2 under the action of a

force. When the same force acts on a second body, causes acceleration of 0.5

m.s

-2

. Now the bodies are tied together and acted by the same force, what will

be the acceleration produced in the combined masses?​

Answer 1

Given:

Mass of first body m1 = 5kg

Acceleration of first body a1 = 2m/s^2

Acceleration of second body a2= 0.5m/s^2

To find:

The acceleration produced when the two bodies are tied together.

Solution:

We know that force F= m*a

Therefore force applied on first body = 5*2 = 10N

The same force is applied on second body.

Therefore mass of second body m2 = F/a = 10/0.5 = 20kg

When two bodies are tied together, mass of system m = m1+m2 = 5+20 kg = 25kg

And force is same, so F = 10N

Then acceleration of system a = F/m = 10/25 = 0.4 m/s^2

The acceleration produced is 0.4m/s^2.