Shown in the figure below is a block and track system. All locations indicated by solid black lines are frictionless. The region indicated by the tan hash is a patch of friction with coefficient ?k = 0.315 whose length is d = 2.30 meters. A small block of mass m = 0.88 kg is initially at moving toward the right with a velocity of v1 = 7.056 meters/second. The mass rises up the hill of height y2 = 0.43 meters, passes across the frictional region and then compresses the spring which has a spring constant of k = 82.0 N/m. Calculate all the following: a) The velocity of the mass at the top of the hill, v2 = m/s b) The velocity of the mass after the frictional area, v3 = m/s c) The maximum compression of the spring, x4 = meters
Shown in the figure below is a block and track system. All locations indicated by solid black lines are frictionless. The region indicated by the tan hash is a patch of friction with coefficient ?k = 0.315 whose length is d = 2.30 meters. A small block of mass m = 0.88 kg is initially at moving toward the right with a velocity of v1 = 7.056 meters/second. The mass rises up the hill of height y2 = 0.43 meters, passes across the frictional region and then compresses the spring which has a spring constant of k = 82.0 N/m.
Calculate all the following:
a) The velocity of the mass at the top of the hill, v2 = m/s
b) The velocity of the mass after the frictional area, v3 = m/s
c) The maximum compression of the spring, x4 = meters
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