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Question: A cricket ball of mass 150 g has an initial velocity \(\overrightarrow{u} = (3\widehat{i} + 4\wideha...

A cricket ball of mass 150 g has an initial velocity u=(3i^+4j^)ms1\overrightarrow{u} = (3\widehat{i} + 4\widehat{j})ms^{- 1} and a final velocity v=(3i^+4j^)ms1\overrightarrow{v} = - (3\widehat{i} + 4\widehat{j})ms^{- 1} after being hit., the magnitude of the momentum transferred during the hit is.

A

Zero

B

0.75kgms10.75kgms^{- 1}

C

1.5kgms11.5kgms^{- 1}

D

14kgms114kgms^{- 1}

Answer

1.5kgms11.5kgms^{- 1}

Explanation

Solution

The magnitude of the momentum transferred during the hit is

}{= \sqrt{0.81 + 1.44kgms^{- 1}} = 1.5kgms^{- 1}}$$