A 7.80-g bullet moving at 520 m/s penetrates a tree trunk to a depth of 5.30 cm.(a) Use work and energy considerations to find the average frictional force that stops the bullet. (b) Assuming the frictional force is constant, determine how much time elapses between the moment the bullet enters the tree and the moment it stops moving.

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Asked Dec 10, 2019
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A 7.80-g bullet moving at 520 m/s penetrates a tree trunk to a depth of 5.30 cm.

(a) Use work and energy considerations to find the average frictional force that stops the bullet.
 

(b) Assuming the frictional force is constant, determine how much time elapses between the moment the bullet enters the tree and the moment it stops moving.
 
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Expert Answer

Step 1

a)

Write the mathematical expression for work energy theorem.

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W = AK, [: = 0] fd cos 180° = 0.5mv f =- (1)

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Step 2

Substitute the values in equation (I).

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0.5(0.0078)(520m/s)* 0.053m = 19897 N

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Step 3

According to the conserv...

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KE, + v, +W geton = KE,+ v; mv +0+(-fi ) =0+0 mv? f = 2d (II)

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