Question

Two bodies have a mass ratio of 3:4 . the force applied on the bigger mass produces an acceleration of 12 m/s^2 . What could be the acceleration of the other body, if the same force acts on it?

Answer 1

Answer:

The smaller mass accelerates at 16 m/s² when force equal to the amount applied on the bigger mass is applied on it.

Explanation:

Step 1 : Let the bigger mass be x.

The smaller mass will be = 3/4x

The formula for getting force is :

Force = Mass × acceleration

Step 2 : Calculate the force applied on the bigger mass.

Apply the formula above :

Force = x × 12 = 12x N

This same force is applied on the smaller mass.

We can get the acceleration of the smaller mass.

Step 3 : Calculate the acceleration of the smaller mass.

Mass = 3/4x

F = 12x

F = ma

12x = 3/4x × a

a = 12x × 4/3x

a = 16 m/s²

The acceleration of the smaller mass is given by :

= 16m/s²

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