Question

Two particle of masses 3 kg and 4 kg are separated by a distance of 7 m then find the cntre of mass of the system from the centre of the first particle

Answer 1

Answer:

3.5 kg mass of the system from the centre of the first particle.

Answer 2

Given: Two particles of masses 3 kg and 4 kg are separated by a distance of 7 m

To find: the centre of mass of the system from the centre of the first particle

Solution: we are given the distance between two masses and we know that the product of distance of masses from the centre of mass and mass is equal.

which can be written as

d1m1 = d2m2

where d1, d2 are distances of masses m1, m2 from the centre of mass.

so, d1/d2 = 4/3

also we are given that

d1 + d2= 7

on solving this equation we will get

4d2/3 + d2 = 7

7d2/3 = 7

d2 = 3m and d1 = 4m

Therefore the centre of mass is located at a distance of 4m from the first mass.