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1: Arrow and Apple Suppose that an apple of mass M is hanging motionless on a...


1: Arrow and Apple Suppose that an apple of mass M is hanging motionless on a masless string of length / from a fixed point O when it is impaled by an arrow of mass m moving horizontally with speed to. What is the maximum angle θ that the apple reaches after the collision? 2: Mass sliding in a block A particle of mass m slides without friction along a cireular track of radius R eut from a block of mass ma ss shown. The block slides without friction along the horizontal surface. Assume that z describes te bratt al displacement of the block and that θ describes the position of the particle relative to the vertical. Assume that z(0)- (0-0 and θ = 0. Be sure the explicitly point out any conserved quantities, such as energy or momentum (a) If the particle starts at 0(0)ュ6, what is the velocity of the perticle and the velocity of the block when θ=0? (b) If frictioc is introduced so that the rarticle ncillate, until it lies nt at θ 0, what is the
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1: Arrow and Apple Suppose that an apple of mass M is hanging motionless on a masless string of length / from a fixed point O when it is impaled by an arrow of mass m moving horizontally with speed to. What is the maximum angle θ that the apple reaches after the collision? 2: Mass sliding in a block A particle of mass m slides without friction along a cireular track of radius R eut from a block of mass ma ss shown. The block slides without friction along the horizontal surface. Assume that z describes te bratt al displacement of the block and that θ describes the position of the particle relative to the vertical. Assume that z(0)- (0-0 and θ = 0. Be sure the explicitly point out any conserved quantities, such as energy or momentum (a) If the particle starts at 0(0)ュ6," what is the velocity of the perticle and the velocity of the block when θ=0? (b) If frictioc is introduced so that the rarticle 'ncillate, until it lies nt at θ " 0, what is the
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2 2 of2 2( mam) 2

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