2 bodies of different masses of 2 kg and...

2 bodies of different masses of 2 kg and 4 kg are moving with velocities `20 m//s` and 10 m//s towards each other due to mutual gravitational attraction. What is the velocity of their centre of mass?

5 m/s

6 m/s

8 m/s

Zero

Text Solution

Verified by Experts

The correct Answer is:

`v_(1)=20 m//s, v_(2)=-10m//s`
`m_(1)=2"kg", m_(2)=4"kg"`
`v_(CM)=(2xx20-4xx10)/(2+4)=0` m/s

Topper's Solved these Questions

ROTATIONAL MOTION
ERRORLESS|Exercise NCERT BASED QUESTIONS (Angular Displacement, Velocity and Acceleration)|34 Videos
ROTATIONAL MOTION
ERRORLESS|Exercise NCERT BASED QUESTIONS (Moment of Inertia)|139 Videos
NEWTON'S LAWS OF MOTION
ERRORLESS|Exercise ASSERTION & REASON |18 Videos
SIMPLE HARMONIC MOTION
ERRORLESS|Exercise Assertion & Reason|15 Videos

Similar Questions

Explore conceptually related problems

Two bodies of masses 2kg and 4 kg are moving with velocities 20 m/s and 10m/s towards each other due to mutual gravitational attraction . What is the velocity of their centre of mass ?

Two bodies of different masses 2kg and 4kg are moving with velocities 2m//s and 10m//s towards each other due to mutual gravitational attraction. Then the velocity of the centre of mass is

Two bodies of masses 2 kg and 4 kg are moving with velocities 2 m/s and 10 m/s respectively along same direction. Then the velocity of their centre of mass will be

Two particles of mass m_(1) and m_(2) , approach each other due to their mutual gravitational attraction only. Then

A body of mass 20 kg is moving with a velocity of 2v and another body of mass 10 kg is moving with velocity V along same direction. The velocity of their centre of mass is

What is the de Broglie wavelength of a 2 kg mass moving with a velocity of 10 m/s?

Two bodies of masses 1 kg and 2 kg are moving in two perpendicular direction with velocities 1 m//s and 2 m//s as shown in figure. The velocity of the centre of mass (in magnitide) of the system will be :

ERRORLESS-ROTATIONAL MOTION-Assertion & Reason

2 bodies of different masses of 2 kg and 4 kg are moving with velociti...
Text Solution
|
Statement-1 : The centre of mass of a two particle system lies on the ...
Text Solution
|
Statement-1 : The centre of mass of a system of n particles is the wei...
Text Solution
|
Assertion : The centre of mass of an isolated system has a constant ve...
Text Solution
|
Statement-1: The center of mass of body may lie where there is no mass...
Text Solution
|
Assertion : A particle is moving on a straight line with a uniform vel...
Text Solution
|
Statement-1 : The centre of mass of a proton and an electron, released...
Text Solution
|
Statement-1 : The position of centre of mass of a body does not depend...
Text Solution
|
Assertion : A shell at rest, explodes. The centre of mass of fragments...
Text Solution
|
Assertion: A judo fighter in order to throw his opponent onto the matt...
Text Solution
|
Assertion: The centre mass of an electron and proton, when released mo...
Text Solution
|
Assertion : At the centre of earth, a body has centre of mass , but no...
Text Solution
|
Assertion: When a body dropped from a height explodes in mid air, its ...
Text Solution
|
Statement -1: It is harder to open and shut the door if we apply force...
Text Solution
|
Statement-1 : Moment of inertia of a particle is same, whatever be the...
Text Solution
|
Assertion : Inertia and moment of inertia are same quantities. Reaso...
Text Solution
|
If earth shrink (without change in mass) to half it's present size. Le...
Text Solution
|
Statement -1: Torque due to force is maximum when angle between vec r ...
Text Solution
|
Statement-1 : Radius of gyration of a body is a constant quantity. ...
Text Solution
|
Assertion: A ladder is more apt to slip, when you are high up on it th...
Text Solution
|
Statement -1 : Torque is equal to rate of change of angular momentum ....
Text Solution
|