Question 1
A stone is released from rest at a height
h at the left side of a loop-the-loop, as shown in the figure. There is no appreciable friction from the track or from air resistance. If the radius of the loop is
R, what is the minimum height
h for which the stone will not fall off the track at the top of the loop?
◦ 2.5
R◦ 3.5
R◦ 3.0
R◦ 2.0
R◦
RQuestion 2
An object with a mass of 10 kg is initially at rest at the top of a frictionless inclined plane that rises at 30° above the horizontal. At the top, the object is initially 8.0 m from the bottom of the incline, as shown in the figure. When the object is released from this position, it eventually stops at a distance
d from the bottom of the inclined plane along a horizontal surface, as shown. The coefficient of kinetic friction between the horizontal surface and the object is 0.20, and air resistance is negligible. Find the distance
d.
◦ 5.0 m
◦ 15 m
◦ 10 m
◦ 25 m
◦ 20 m
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