Repected sir,

I had a doubt on force and pressure numericals. The numerical down.

Two blocks of different metals but identical in shape and size are acted upon by equal forces such that the acceleration of the second block is 3 times more than that of first block. What is the ratio of the mass of the second block respect to the first block.

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Solution

Let m1 and m2 be the mass of the first and second block respectively and a be the acceleration.

Acceleration produced in the first block a1= a

Acceleration produced in the second block a2= 3a

Force acting on the first block F1 = m1 x a

Force acting on the second block F2= m2 x 3a

We know from the question F1 = F2 = F

So m1 a = 3a m2

m1 = 3 m2

m2/m1 = 1/3

m2: m1 = 1: 3

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