A 46 g ball of clay traveling at speed 6.3 m / s hits and sticks to a 1.0 k g bl

Question

A 46g ball of clay traveling at speed 6.3m/s hits and sticks to a 1.0 kg block sitting at rest on a frictionless surface. Part A What is the speed of the block after the collision? Express your answer to two significant figures and include the appropriate units. vf = SubmitGive Up Part B The mechanical energy is not conserved in this collision. What percentage of the ball's initial energy is "lost"? Express your answer using two significant figures. Ki?KfKi =   %   SubmitGive Up A 46g ball of clay traveling at speed 6.3m/s hits and sticks to a 1.0 kg block sitting at rest on a frictionless surface. Part A What is the speed of the block after the collision? Express your answer to two significant figures and include the appropriate units. vf = SubmitGive Up Part B The mechanical energy is not conserved in this collision. What percentage of the ball's initial energy is "lost"? Express your answer using two significant figures. Ki?KfKi =   %   SubmitGive Up A 46g ball of clay traveling at speed 6.3m/s hits and sticks to a 1.0 kg block sitting at rest on a frictionless surface. A 46g ball of clay traveling at speed 6.3m/s hits and sticks to a 1.0 kg block sitting at rest on a frictionless surface. A 46g ball of clay traveling at speed 6.3m/s hits and sticks to a 1.0 kg block sitting at rest on a frictionless surface. Part A What is the speed of the block after the collision? Express your answer to two significant figures and include the appropriate units. vf = SubmitGive Up Part B The mechanical energy is not conserved in this collision. What percentage of the ball's initial energy is "lost"? Express your answer using two significant figures. Ki?KfKi =   %   SubmitGive Up Part A What is the speed of the block after the collision? Express your answer to two significant figures and include the appropriate units. vf = SubmitGive Up Part A What is the speed of the block after the collision? Express your answer to two significant figures and include the appropriate units. vf = SubmitGive Up vf = vf = SubmitGive Up Part B The mechanical energy is not conserved in this collision. What percentage of the ball's initial energy is "lost"? Express your answer using two significant figures. Ki?KfKi =   %   SubmitGive Up Part B The mechanical energy is not conserved in this collision. What percentage of the ball's initial energy is "lost"? Express your answer using two significant figures. Ki?KfKi =   %   SubmitGive Up Ki?KfKi =   %   Ki?KfKi =   %   SubmitGive Up vf =

Explanation / Answer

Part A)

From conservation of momentum

mv = (m+m)v

(.046)(6.3) = (1.046)(v)

v = .277 m/s

Part B)

Initial KE = .5(.046)(6.3)2 = .91287 J

Final KE = .5(1.046)(.277)2 = .04013 J

The amount lost = .91287 - .04013 = .87274 J

The percent lost = .87274/.91287 = 95.6%

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