A 7.80-g bullet moving at 600 m/s penetrates a tree trunk to a depth of 4.60 cm.

Question

A 7.80-g bullet moving at 600 m/s penetrates a tree trunk to a depth of 4.60 cm.

A 7.80-g bullet moving at 600 m/s penetrates a tree trunk to a depth of 4.60 cm Use work and energy considerations to find the average frictional force that stops the bullet. Your response differs from the correct answer by more than 10%. Double check your calculations. N 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.

Explanation / Answer

work done by tree trunk = change in kinetic energy of bullet

1/2 * 7.80*10^-3 *600^2 = F *0.0460

F = 30521 N

acceleration = 30521/0.00780

= 3912948 m/s2

v = u -at

0 = 600- 3912948*t

time = 1.53 *10^-4 second

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