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In the Figure below, we see a 200 gram block resting on the horizontal portion o

ID: 1590362 • Letter: I

Question

In the Figure below, we see a 200 gram block resting on the horizontal portion of a "track", whose left end is curved upwards. The horizontal portion of the track is frictionless, except for a 80.0 cm long "rough" portion, shown in the Figure, where the coefficient of kinetic friction is 0.400. The curved portion of the track is frictionless The block is held against a spring (which has a stiffness constant of 1,000 N/m), compressing the spring by 10.0 cm Then the block is released from rest. (NOTE: The block is not attached to the spring; it is just held against the end of the spring.) 80.0 cm

Explanation / Answer

13) c. 4.37J.

Workdone by spring, Ws = 0.5*K*x^2

= 0.5*1000*0.1^2

= 5 J

Workdone by friction, Wf = -mue_k*m*g*d

= -0.4*0.2*9.8*0.8

= -0.6272 J


when it goes up it comes to stop.

so, net workdone = 0

Ws + Wf + Wg = 0

Wg = -(Ws + Wf)

= (5 - 0.6272)

= -4.37 J


14) e. 2.23m

Wg = -m*g*h

==> h = -Wg/(m*g)

= 4.37/(0.2*9.8)

= 2.23 m

15) c. +4.37J

delta_U = -Workdone by gravity