Sign in
12thPass logo
New chatPYQ LibraryDoubtsRank report
Sign in to see Recents

Your guest activity stays on this device

Sign in to save progress →
Sign in

Center of Mass and Collision question

2004 · Q149
Guest · filters and generic practice availableBrowsing as a guest · PYQ filters and generic practice are available. Sign in only for personalised features and saved progress.
  1. PYQ Library
  2. /NEET
  3. /Physics
  4. /Center of Mass and Collision
  5. /2004 · Q149

Center of Mass and Collision question

2004 · Q149

NEETPhysicsCenter of Mass and CollisionMCQ+4 / −1
Consider a system of two particles having masses m1 and m2. If the particle of mass m1 is pushed towards the mass centre of particles through a distance d. by what distance would be particle of mass m2 move so as to keep the mass centre of particles at the original position?
  1. A
    m1m1+m2{{{m_1}} \over {{m_1} + m{}_2}}m1​+m2​m1​​d
  2. B
    m1m2{{{m_1}} \over {{m_2}}}m2​m1​​d
  3. C
    d
  4. D
    m2m1{{{m_2}} \over {{m_1}}}m1​m2​​d
View written solutionFree

Correct answer: B

C.M=m1x1+m2x2m1+m2C.M = {{{m_1}{x_1} + {m_2}{x_2}} \over {{m_1} + {m_2}}}C.M=m1​+m2​m1​x1​+m2​x2​​   ...(i)

After changing position of m1 and to keep the position of C.M. same

C.M=m1(x1−d)+m2(x2+d2)m1+m2C.M = {{{m_1}\left( {{x_1} - d} \right) + {m_2}\left( {{x_2} + {d_2}} \right)} \over {{m_1} + {m_2}}}C.M=m1​+m2​m1​(x1​−d)+m2​(x2​+d2​)​

⇒0=m1d+m2d2m1+m2 \Rightarrow 0 = {{{m_1}d + {m_2}{d_2}} \over {{m_1} + {m_2}}}⇒0=m1​+m2​m1​d+m2​d2​​
   [Substituting value of C.M. from (i)]

⇒d2=m1m2d \Rightarrow {d_2} = {{{m_1}} \over {{m_2}}}d⇒d2​=m2​m1​​d

PreviousNext

More from Center of Mass and Collision

  • A stationary particle explodes into two particles of masses m1 and m2 which move in opposite directions with velocities v1 and v2. The ratio of their kinetic energies E1/E2 is :2003 · MCQ
  • If kinetic energy of a body is increased by 300% then percentage change in momentum will be :2002 · MCQ
  • A rod of length is 3 m and its mass acting per unit length is directly proportional to distance x from one of its end then its centre of gravity from that end will be at :2002 · MCQ
  • A disc is rolling, the velocity of its centre of mass is vcm. Which one will be correct?2001 · MCQ
  • A ball of mass 0.5 kg is dropped from a height of 40 m . The ball hits the ground and rises to a height of 10 m . The impulse imparted to the ball during its collision with the ground is (Take g=9.8 m/s2 )2025 · MCQ
  • Two bodies A and B of same mass undergo completely inelastic one dimensional collision. The body A moves with velocity v1​ while body B is at rest before collision. The velocity of the system after collision is v2​. The ratio v1​:v2​…2024 · MCQ
  • A bullet of mass m hits a block of mass M elastically. The transfer of energy is the maximum, when :2023 · MCQ
  • Two particles A and B initially at rest, move towards each other under mutual force of attraction. At an instance when the speed of A is v and speed of B is 3v, the speed of centre of mass is :2023 · MCQ