Question

Two bodies of masses 2kg and 4kg are moving with velocities 2m/s and 10m/s respectively along same direction.then the velocity of their centre of mass will be? (1)8.1m/s. (2)7.3m/s. (3)6.4m/s. (4)5.3m/s​

Answer 1

Answer:

7.3 m/s

Explanation:

Formula : $\dfrac{</strong><strong>m</strong><strong>1</strong><strong>v</strong><strong>1</strong><strong> </strong><strong>+</strong><strong> </strong><strong>m</strong><strong>2</strong><strong>v</strong><strong>2</strong><strong>}{</strong><strong>m</strong><strong>1</strong><strong> </strong><strong>+</strong><strong> </strong><strong>m</strong><strong>2</strong><strong>}$

Given in the question :

• m1 = 2 Kg

• v1 = + 2 m/s

• m2 = 4 Kg

• v2 = 10 m/s

Velocity of centre of mass ( Vcm ) = ?

As both the bodies are moving in same direction , so their velocities will be of same sign .

→ Vcm = $\dfrac{2*2 + 4*10}{2+4}$

Velocity of Centre of Mass = 7.3ms