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Question

Question: A particle of mass m is projected with a velocity \(6 \hat { \dot { i } } + 8 \hat { \mathrm { j } ...

A particle of mass m is projected with a velocity 6i˙^+8j^6 \hat { \dot { i } } + 8 \hat { \mathrm { j } } . Find the change in momentum when it just touches ground.

A

0

B

12 m

C

16 m

D

20 m

Answer

16 m

Explanation

Solution

∆p = m(vf – vi) = m [(6i^8j^)(6i^+8j^)]=16 mj^[ ( 6 \hat { \mathbf { i } } - 8 \hat { \mathbf { j } } ) - ( 6 \hat { \mathbf { i } } + 8 \hat { \mathbf { j } } ) ] = - 16 \mathrm {~m} \hat { \mathrm { j } } .

|∆p|= 16