A 500 g block is released from rest and slides down africtionless track that begins
iohanetc
Answered question
2020-11-16
As shown in Figure, a 500 g block is released from rest and slides down a frictionless track that starts at h = 1.80 m above the horizontal. At the bottom of the track, where the surface ishorizontal, the block strikes and sticks to a light spring with aspring constant of 25.0 N/m. Find themaximum distance the spring is compressed.
Answer & Explanation
krolaniaN
Skilled2020-11-17Added 86 answers
Since there is no friction during the process, use conservation of energy.
Whenthe block is at rest at height of h = 1.80m, the total energy isthe gravitational potential energy of the block mgh.
Whenthe spring is compressed to the maximum, the kinetic energy of theblock is 0
So
m =500g = 0.5kg,
g =9.8
h =1.80
k=25.0
so x =0.84 m
The spring can be maximum compresses 0.84 m
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