Problem #2 Incline and Pulley m A mass M= 3.00 kg is free to slide on the surface of an incline. There is friction between the incline and M. The incline makes an angle 0= 25.0° with respect to the horizontal. Attached to M via a string of negligible mass and via an ideal (no internal friction and negligible mass) pulley is a smaller block of mass m=2.00 kg which is hanging vertically from the pulley. The system starts from rest. The system is able to oyercome the maximum of static friction and as a result m will move downward. As m descends a height H = 5.00 m the force of friction in between M and the incline does a work W = - 14.0 J on the block M. a) What is the work done by gravity Wmg on the smaller block m during the displacement of length H? b) What is the work done by gravity WMg on the larger block M during the displacement of length H? imlwo osid at m noshod vodi onomdo o en i c) What is the work done by the normal force WN on the larger block M during the displacement of length H? d) What is the net work WNET done on the whole system (M and m) during the displacement of length H? e) What is the change in kinetic energy 4K of the whole system (M and m) for the displacement of length H f) How fast vyis m moving after the displacement of length H?

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Problem #2
Incline and Pulley
M
m
A mass M = 3.00 kg is free to slide on the surface of an incline. There is friction between the incline and M.
The incline makes an angle 0 = 25.0° with respect to the horizontal. Attached to M via a string of negligible
mass and via an ideal (no internal friction and negligible mass) pulley is a smaller block of mass m= 2.00 kg
which is hanging vertically from the pulley. The system starts from rest. The system is able to oyercome the
maximum of static friction and as a result m will move downward. As m descends a height H = 5.00 m the
force of friction in between M and the incline does a work W = - 14.0 J on the block M.
a) What is the work done by gravity Wmg on the smaller block m during the displacement of length H?
b) What is the work done by gravity WMg on the larger block M during the displacement of length H?
hge to at meil noshod vondi oy doiro(084
c) What is the work done by the normal force WN on the larger block M during the displacement of length H?
d) What is the net work WNET done on the whole system (M and m) during the displacement of length H?
e) What is the change in kinetic energy AK of the whole system (M and m) for the displacement of length H?
f) How fast vris m moving after the displacement of length H?
Transcribed Image Text:Problem #2 Incline and Pulley M m A mass M = 3.00 kg is free to slide on the surface of an incline. There is friction between the incline and M. The incline makes an angle 0 = 25.0° with respect to the horizontal. Attached to M via a string of negligible mass and via an ideal (no internal friction and negligible mass) pulley is a smaller block of mass m= 2.00 kg which is hanging vertically from the pulley. The system starts from rest. The system is able to oyercome the maximum of static friction and as a result m will move downward. As m descends a height H = 5.00 m the force of friction in between M and the incline does a work W = - 14.0 J on the block M. a) What is the work done by gravity Wmg on the smaller block m during the displacement of length H? b) What is the work done by gravity WMg on the larger block M during the displacement of length H? hge to at meil noshod vondi oy doiro(084 c) What is the work done by the normal force WN on the larger block M during the displacement of length H? d) What is the net work WNET done on the whole system (M and m) during the displacement of length H? e) What is the change in kinetic energy AK of the whole system (M and m) for the displacement of length H? f) How fast vris m moving after the displacement of length H?
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