radius 0.1 m was released from the top of a platform with an initial velocity of 0m/s as shown in the figure below. The height of the platform is 4 m and the diameter of the circular loop in the middle is 3 m. Assume the track is frictionless and there is no air resistance. (a) What is the velocity of the ball when it reaches the bottom of the slope (when height = 0
A spherical ball of mass 0.2 kg and radius 0.1 m was released from the top of a
platform with an initial velocity of 0m/s as shown in the figure below. The height of the
platform is 4 m and the diameter of the circular loop in the middle is 3 m. Assume the
track is frictionless and there is no air resistance.
(a) What is the velocity of the ball when it reaches the bottom of the slope (when
height = 0 m and before entering the loop)?
(b) What is the velocity of the ball, if it reaches the top of the loop? Will the ball
make the loop?
(c) Now, ignore the presence of the loop. The ball falls via the same loop from
position 1 and directly roll towards position 4, bypassing the loop entirely. The
height of the hump at position 4 is 1 m. The ball just about lifts off contact from
the track as it passes through position 4 at top of the hump. What is the radius
of the curvature of this hump?
(d) What are the kinetic energies of the ball, when it is at positions 2, 3 and 4?
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