First slide

Collisions

Question

A block of mass 0.5 kg is moving with speed of 2 m/s on a smooth surface. It strikes another mass of 1 kg and then they move together as a single body. The Energy loss during the Collision is,

Moderate

A

0.34 J
B

0.16 J
C

1.00 J
D

0.67 J

Solution

$a p p l y l a w o f c o n s e r v a t i o n o f l i n e a r m o m e n t u m p_{b e f o r e} = p_{a f t e r} m u = (m + M) V m = 0.5 k g; M = 1 k g; u = 2 m / s 0.5 (2) = (0.5 + 1) V V = \frac{1}{1.5} m / s K E_{i n i t i a l} = \frac{1}{2} m v^{2} = \frac{1}{2} x 0.5 x 2^{2} = 1 j o u l e K E_{f i n a l} = \frac{1}{2} m v^{2} = \frac{1}{2} (1.5) {(\frac{1}{1.5})}^{2} = 0.33 j o u l e l o s s o f K E = K E_{i n i t i a l} - K E_{f i n a l} = 1 - 0.33 = 0.67 j o u l e$

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