Moderate

A billiard ball moving with a speed of 5 m/s collides with an identical ball, originally at rest. If the first ball stops dead after the collision, then the second ball will move forward with a speed of

Correct answer: A. 10 m/s

  • A. 10 m/s
  • B. 5 m/s
  • C. 2.5 m/s
  • D. m/s

Explanation

In an elastic collision between identical balls, when one ball comes to rest after the collision, the other ball will move forward with double the speed of the incoming ball. Therefore, the second ball will move with a speed of 2×5 m/s=10 m/s2×5m/s=10m/s.Incorrect Options Explanation:(b) 5 m/s: This would be the speed of the second ball if both balls stuck together after collision.(c) 2.5 m/s: This is half the speed of the incoming ball and doesn't match the conservation of momentum in the collision.(d) 9 m/s: This value doesn't correspond to the principles of elastic collisions.

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About Force and Motion

Displacement, velocity and acceleration describe motion, including the horizontal and vertical components of projectile motion. The chapter connects these quantities with Newton's laws, momentum and impulse, then applies conservation of momentum to collisions, distinguishing elastic collisions from inelastic ones.

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