2 points Previous Answers SerPSET9 9 P080 My Notes OAsk Your h A small block of

Question

2 points Previous Answers SerPSET9 9 P080 My Notes OAsk Your h A small block of mass m 0.460 kg is released from rest at the top of a frictionless, curve-shaped wedge of mass m 3.00 kg, which sits on a frictionless, horizontal surface as shown in Figure a. When the block leaves the wedge, its velocity is measured to be vy - 4.80 m/s to the right as shown in Figure b. mz (o) What is the velocity of the wedge after the block reaches thehoontal surface? 0.736 m/s the left (b) What is the height h of the wedge? 1.17551 The final kinetic energy of the system is the sum of the kinetic energy of the block and the kinetic energy of the wedge. m Need Help? Rewatch s

Explanation / Answer

b)

We use law of conservation of energy

PEi = KEf(block) + KEf(wedge)

m1gh = 1/2mv1^2+1/2m2v2^2

0.460*9.8*h = ½*9.8*4.80^2+1/2*3.0*0.736^2

h= 1.36m

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