MasteringPhysics: Ch 06 HW Secure https://session.masteringphysics.com/myct/item

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MasteringPhysics: Ch 06 HW Secure https://session.masteringphysics.com/myct/itemview?assignmentProblemID 74808126 Eng Physics Spring 2017 Signed in as Denisse Tellez l Help Conn Problem 6.46 e previous l 14 of 15 l next Problem 6.46 Part A Arifle with a barrel length of 65 cm fires a 11 g What resistive force (assumed to be constant) does the wood exert on the bullet? bullet with a horizontal speed of 440 m/s. The Express your answer with the appropriate units. bullet strikes a block of wood and penetrates to a depth of 12 cm. Value Units Submit My Answers Give Up Part B How long does it take the bullet to come to rest? Express your answer with the appropriate units. t. Value Units Submit My Answers Give Up Continue

Explanation / Answer

initial kinetic energy of bullet = work needed to bring bullet to rest
(1/2)mv² = (F)(x)
(1/2)(0.011 kg)(440 m/s)² = (F)(0.12 m)
F = 8873.33 N

F = ma
-8873.33 N = (0.011 kg)(a)
a = -806666.3 m/s² (decelerating)

a = (v - vo) / t
-806666.3m/s² = (0 - 440 m/s) / t
t = 545e-4 s

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