Moderate

A shell of mass m moving with velocity v suddenly breaks into two pieces. The part having mass m/4 remains stationary. The velocity of the other shell will be:

Correct answer: D. 4v/3

  • A. v
  • B. 2v
  • C. 3v/4
  • D. 4v/3

Explanation

Using the law conservation of mass, Total momentum Before = Total momentum After Let x be the new speed of remaining mass (3m/4) mv = m1v1 + m2v2 mv = (m/4) (0) + (3m/4) (x) mv = (3m/4) x 4v/3 = x Options A, B and C cannot be derived from the given situation as they donot follow law of conservation of momentum.

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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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