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Two unequal masses are ties together wit...

Two unequal masses are ties together with a cord with a compressed spring in between.
When the cord is burnt with a match releasing the spring, the two masses fly apart with equal

A

(a) Kinetic energy

B

(b) Speed

C

(c) Momentum

D

(d) Acceleration

Text Solution

Verified by Experts

The correct Answer is:
C

As `F_(ext)=0`, according to the law of conservation of momentum,
`vecP_1+vecP_2=const ant`.
but initially both the blocks were at rest, so
`vecP_1+vecP_2=0`, i.e., `vecP_2=-vecP_1`
i.e., at any instant, the two blocks will have momentum equal in magnitude but opposite in direction (through they may have different values of momentum at different positions).
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Knowledge Check

  • Two unequal masses are ties together with a cord with a compressed spring in between. Which one is correct?

    A
    (a) Both masses with have equal KE.
    B
    (b) Lighter block will have greater KE.
    C
    (c) Heavier block will have greater KE.
    D
    (d) None of above answers is correct.
  • Two unequal masses are ties together with a cord with a compressed spring in between. Which of the following energies is conserved for the system?

    A
    (a) Kinetic energy
    B
    (b) Potential energy
    C
    (c) Mechanical energy
    D
    (d) None of these
  • Two blocks A and B are joined together with a compressed spring. When the system is released, the two bloks appear to be moving with unequal speeds in the opposite directions as shown in figure. Select incorrect statements(s) :

    A
    The centre of mass of the system will remain stationary.
    B
    Mass of block A is equal to mas of block B.
    C
    The centre of mass of the system will move towards right.
    D
    It is an impossible physical situation.
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