A body of mass 150 g has an initial velocity (3i+4j)m/s and final velocity -(3i +4j) m/s after being hit. Calculate the change in momentum.

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Solution

$M a s s o f t h e b o d y m = 150 g = 0.15 k g i n i t i a l v e l o c i t y u = 3 \hat{i} + 4 \hat{j} f i n a l v e l o c i t y v = - (3 \hat{i} + 4 \hat{j}) c h a n g e i n m o m e n t u m = f i n a l m o m e n t u m - i n i t i a l m m e n t u m ∆ \vec{P} = m (v - u) = 0.15 (- (3 \hat{i} + 4 \hat{j}) - ((3 \hat{i} + 4 \hat{j})) ∆ \vec{P} = - 0.15 (6 \hat{i} + 8 \hat{j}) |∆ \vec{P}| = 0.15 \times \sqrt{36 + 64} = 1.5 N s$

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