Question

A force produces an acceleration of 2.0 m/s^2 in a body A and 5.0 m/ s^2 in another body B.find the ratio of the mass of A to the mass of B.​

Answer 1

Given - a1 = 2m/$s^{2}$ and a2 = 5m/$s^{2}$

To Find - the ratio of the mass of A to the mass of B.

Solution -

The given problem can be solved using the method/process that is as follow:

Let 'F' be the force acting on the two bodies, let 'a1' and 'a2' be the acceleration produced in the two bodies A and B respectively and let 'm1' and 'm2' be the masses of body A and body B respectively.

As per newton's 2nd law of motion, force is equal to mass time it's acceleration.

Formula - F =ma

Therefore, m = F/a........(rearranging the formula)

For body A,

m1 = F/a

m1 = F/2........(1)

For body B,

m2 = F/b

m2 = F/5......(2)

Dividing equations 1 & 2. we get,

m1/m2 = F/2 / F/5....(from 1 & 2)

m1/m2 = 5/2 or m1:m2 = 5:2......(since force is constant)

Hence, the ratio of the mass of A to the mass of B is 5:2

Answer 2

Answer:

5/2

Explanation:

acceleration of A= 2ms^-2

acceleration of B= 5ms^-2

Fa = Fb

*****Formula:- F=ma *****

Fa = ma(2)

Fb = ma(5)

then,

ma/mb = 5/2

***** 5:2 *****