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Work, Energy And Power

Question
CBSEENPH11017192

A 30gm bullet initially travelling with speed 500m/s penetrates 12 cm into a wooden block. Find the amount of work done to the resistance offered by the block to the bullet.

Solution
According to the work-kinetic energy theorem, the kinetic energy of bullet does the work against resistance offered by the block.
That is,
                     1 half m v squared equals F s
rightwards double arrow                         F equals fraction numerator m v squared over denominator 2 s end fraction
Here, we have
Mass of the bullet, straight m equals 30 gm equals 0.030 kg
Velocity of the bullet, straight v equals 500 straight m divided by straight s comma
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∴        F equals fraction numerator left parenthesis 0.03 right parenthesis cross times left parenthesis 500 right parenthesis squared over denominator 2 cross times 0.12 end fraction equals 3125 straight N