Name 7. (15 points) A block of mass m 6 kg starts from rest at the top of a fric
ID: 1794063 • Letter: N
Question
Name 7. (15 points) A block of mass m 6 kg starts from rest at the top of a frictionless, cy circular quarter-pipe of radius R 3 m. When let go, it slides down to the bottom of the slope and continues horizontally, until it encounters a rough patch of ice & gravel of length 1.5 m, with a coefficient of kinetic friction between the block and the patch equal to 0.333. It then continues on frictionless ice until it reaches a spring attached to a wall, of spring constant k 110 N/m. As the block compresses the spring, it slowly comes to a rest. How much does the block compress the spring? (Show all your work) (It helps to draw a picture!)Explanation / Answer
Applying work - energy theorem,
total work done on block = change in KE
Work done by gravity + work done by friction + work done by spring = KF - Ki
(6 x 9.8 x 3) - (0.333 x 6 x 9.8 x 1.5) - 110 d^2 /2 = 0 - 0
d = 1.63 m
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.