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A 7.80-g bullet moving at 460 m/spenetrates a tree trunk to a depth of 4.4cm. (a

ID: 1764780 • Letter: A

Question

A 7.80-g bullet moving at 460 m/spenetrates a tree trunk to a depth of 4.4cm. (a) Use work and energy considerations to findthe average frictional force that stops the bullet.
1 N

(b) Assuming the friction force is constant, determine how muchtime elapses between the moment the bullet enters the tree and themoment it stops moving.
2 (a) Use work and energy considerations to findthe average frictional force that stops the bullet.
1 N

(b) Assuming the friction force is constant, determine how muchtime elapses between the moment the bullet enters the tree and themoment it stops moving.
2

Explanation / Answer

Mass of bullet m = 7.8 g = 7.8 * 10 ^ -3 kg speed v = 460 m / s depth S = 4.4 cm = 0.044 m (a). frictional force f = ma from the relation V ^ 2- v ^ 2= 2aS                         0 ^ 2- 460 ^ 2 = 2a * 0.044                                           -a= 2404545.45 m / s ^2 So, f = ma = 18755.45 N (b). time t= ( V - v ) / a               = 1.913 * 10 ^ -4 s (b). time t= ( V - v ) / a               = 1.913 * 10 ^ -4 s
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