Transcription of HW 2 Solution Key - Drexel University
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HW 2 Solution Key - Drexel University
Classical Mechanics I HW # 2 Solution KeyHW 2 Solution Key1. (5 points) shell traveling with velocity v explodes into three pieces of equal masses. One piece hasvelocity~v1=~v0and the other two have velocities that are equal in magnitude but mutuallyperpendicular. Find the two velocities and sketch the three 3m=M, andvas speed of the two unknown the outgoing shells, we get:~v2=vcos 2 i+vsin 2 j~v3=vcos 3 i+vsin 3 jThe only way for momentum in the y-direction to be conserved is if 2= 3, so sin 3= sin 2andcos 3= cos 2. Further, for them to be perpendicular:~v2 ~v3=v2(cos2 2 sin2 2) = 0which is satisfied for = /4 = 45 Thus:v2=v0 2 i+v0 2 j2. (5 points)A uniform thin sheet of metal is cut in shape of a semicircle of radius R and lies in the xyplane with its center at the origin and diameter lying along the x axis. Find the position ofthe demands that the CM must lie along the y-axis.
Classical Mechanics I { HW # 2 Solution Key HW 2 Solution Key 1. 3.3 (5 points) Sol. A shell traveling with velocity v explodes into three pieces of equal masses. One piece has velocity ~v 1 = ~v 0 and the other two have velocities that are equal in magnitude but mutually perpendicular. Find the two velocities and sketch the three velocities.
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