PHYSICS

JAMB 2020 - Question 2

Physics 2020 JAMB Past Questions - Question 2: A lead bullet of mass 0.05kg is fired with a velocity of 200ms-1 into a lead block of mass 0.95 kg . Given that the lead block can move freely, the final kinetic energy energy impact is

Choose the correct answers from the options given.
A lead bullet of mass 0.05kg is fired with a velocity of 200ms-1 into a lead block of mass 0.95 kg . Given that the lead block can move freely, the final kinetic energy energy impact is
A:
B:
C:
D:
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Correct Answer

A

Explanation

From principle of conservation of linear momentum,
(0.05 x 200) + (0.95 x 0) = (0.05 + 0.95) x V (since collision is inelastic).

10 + 0 = V

Thus V = 10m/s.

Recall Kinetic Energy = \(\frac{1}{2} mv^2\)

\(\therefore\) K.E = 1/2 (0.05 + 0.95) x 10\(^2\)

K.E = 1/2 (1 x 100) = 50 J.