Two particles of mass $1 k g$ and $3 k g$ move towards each other under their mutual force of attraction. No other force acts on them. When the relative velocity of approach of the two particles is $2 m / s$ , their centre of mass has a velocity of $0.5 m / s$ , then the velocity of the centre of mass is $0.75 m / s$ .

True

No worries! We‘ve got your back. Try BYJU‘S free classes today!

False

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is B False
As given in the question that there is no external force acting on the system
$⟹ a_{s y s} = 0 ⟹ Δ v_{c o m} = 0$
But here we find that $Δ v_{c o m} = v_{c o m 2} - v_{c o m 1} = 2.5 m s^{- 2} \neq 0$
hence it's false and Option B is correct.

Suggest Corrections

Similar questions

Q. Two particles of mass

1 kg

and

3 kg

move towards each other under their mutual force of attraction. No other forces act on them. When the velocity of approach of the two particles is

2 m/s

, their centre of mass has a velocity of

0.5 m/s

. When the velocity of approach becomes

3 m/s

, the velocity of the centre of mass of the system of particles is

Q. Two particles of mass

1

kg and

3 k g m o v e t o w a r d s e a c h o t h e r u n d e r t h e i r m u t u a l f o r c e o f a t t r a c t i o n . N o o t h e r f o r c e a c t s o n t h e m . W h e n t h e r e l a t i v e v e l o c i t y o f a p p r o a c h o f t h e t w o p a r t i c l e s i s

2\m/s

, t h e i r c e n t e r o f m a s s h a s a v e l o c i t y o f

0.5m/s

. W h e n t h e r e l a t i v e v e l o c i t y o f a p p r o a c h b e c o m e s

3m/s

, t h e v e l o c i t y o f t h e c e n t e r o f m a s s i s

0.75m/s$.

Two particles of mass 1 kg and 3 kg move towards each other under mutual force of attraction. No other force acts on them. When the relative velocity of approach of the two particles is $2 m s^{- 1}$ their centre of mass has a velocity of $0.5 m s^{- 1}$ and when their velocity of approach become $3 m s^{- 1}$ , the velocity of their centre of mass is $0.75 m s^{- 1}$ . Then,