
The figure shows the positions and velocities of two particles. If the particles move under the mutual attraction of each other, then the position of the center of mass at t=1s is:
A). x=5m
B). x= 6m
C). x= 3m
D). x= 2m

Answer
507.9k+ views
1 likes
Hint: Find the initial position of centre of mass using the centre of mass formula. Then calculate velocity of centre of mass. From velocity, find the value of displacement and add with the initial position. Thus, you can calculate the position of centre of mass at time t= 1s.
Formula used:
X=
v=
Complete step-by-step solution:
Given: mass of both the particles and = 1kg
= 2m
= 8m
Using the centre of mass formula, initial position of centre of mass is given by,
X=
Substituting values in above equation we get,
X=
Now, using the centre of mass formula, velocity of center of mass is given by,
v=
Substituting values in above equation we get,
v=
But
Substituting value of time and velocity we get,
Position of center of mass at t =1s is
Thus, the position of center of mass at t =1s is 6m.
Hence, the correct answer is option B i.e. x=6m.
Note: Here, is taken negative as the particles are moving in opposite directions. So, take care of the negative sign and don’t consider the velocity of the second particle to be positive.
In the case of rigid bodies, the centre of mass does not depend on the state of the body whether it is in rest or accelerated.
Formula used:
X=
v=
Complete step-by-step solution:
Given: mass of both the particles
Using the centre of mass formula, initial position of centre of mass is given by,
X=
Substituting values in above equation we get,
X=
Now, using the centre of mass formula, velocity of center of mass is given by,
v=
Substituting values in above equation we get,
v=
But
Substituting value of time and velocity we get,
Position of center of mass at t =1s is
Thus, the position of center of mass at t =1s is 6m.
Hence, the correct answer is option B i.e. x=6m.
Note: Here,
In the case of rigid bodies, the centre of mass does not depend on the state of the body whether it is in rest or accelerated.
Latest Vedantu courses for you
Grade 11 Science PCM | CBSE | SCHOOL | English
CBSE (2025-26)
School Full course for CBSE students
₹41,848 per year
Recently Updated Pages
Master Class 11 Accountancy: Engaging Questions & Answers for Success

Master Class 11 Social Science: Engaging Questions & Answers for Success

Master Class 11 Economics: Engaging Questions & Answers for Success

Master Class 11 Physics: Engaging Questions & Answers for Success

Master Class 11 Biology: Engaging Questions & Answers for Success

Class 11 Question and Answer - Your Ultimate Solutions Guide

Trending doubts
The non protein part of an enzyme is a A Prosthetic class 11 biology CBSE

What is a zygomorphic flower Give example class 11 biology CBSE

The deoxygenated blood from the hind limbs of the frog class 11 biology CBSE

What is the function of copulatory pads in the forelimbs class 11 biology CBSE

Which of the following is nitrogenfixing algae a Nostoc class 11 biology CBSE

Renal portal system of frog is significant in A Quick class 11 biology CBSE
