Question

The masses of two objects are in the ratio of 3:4 and their velocities are in the ratio of 2:3. Then their momentum are in the ratio of (a) 5:7 (b) 3:4 (c) 1:2 (d) 2:3​

Answer 1

Answer:

a option is correct

i think

Answer 2

Given,

The masses of two objects are in ratio of 3:4

Their velocities are in ratio of 2:3

To find,

The ratio of their momentum.

Solution,

We can simply solve this mathematical problem by using the following mathematical process.

Now,

Momentum = Mass × Velocity

Let,

Masses of two objects = 3x and 4x (respectively)

And,

Velocities of two objects = 2y and 3y (respectively)

So,

Momentum of first object = 3x × 2y = 6xy

Momentum of second object = 4x × 3y = 12xy

Ratio of their momentum = 6xy : 12xy = 6xy / 12xy = 6/12 = 1/2 = 1:2

Hence, the ratio of their momentum will be 1:2 (option c)