A block of mass 0.71kg starts from rest at point A and slides down a frictionles
ID: 2091451 • Letter: A
Question
A block of mass 0.71kg starts from rest at point A and slides down a frictionless hill of height h. At the bottom of the hill it slides across a horizontal piece of track where the coefficient of kinetic friction is 0.25. This section (from points B to C) is 4.55m in length. The block then enters a frictionless loop of radius r= 3.33m. Point D is the highest point in the loop. The loop has a total height of 2r. Note that the drawing below is not to scale. A. What is the minimum speed of the block at point D that still allows the block to complete the loop without leaving the track? B. What is the minimum kinetic energy for the block at point C in order to have enough speed at point D that the block will not leave the track? C. What is the minimum kinetic energy for the block at point B in order to have enough speed at point D that the block will not leave the track? D. What is the minimum height from which the block should start in order to have enough speed at point D that the block will not leave the track?
Explanation / Answer
a)
v=sqrt(g*r)
=sqrt(9.8*3.33)
=5.713 m/s
=================
b)
KE at c =m(2gr+v
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