A block of mass m = 7.90 kg is released from rest from point A and slides on the frictionless track shown in the figure below. (Assume ha = 6.60 m.)
(a) Determine the block's speed at points and .
point | m/s |
point | m/s |
(b) Determine the net work done by the gravitational force on the block as it moves from point to point .
J
a) work done = change in kinetic energy
1/2 m(Δv)2 = mgΔh
Δv = √ (2gΔh)
speed at point B = vb - 0 = √ (2g3.4) =
vb = 8.17 m/s
speed at point c = vc - 0 = √(2g4.6)
vc = 9.5 m/s
b) net work done by gravitational force = mgΔh
wac = 7.9 X 9.81 X 4.6 = 356.50 J
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