A 3 kg block is pushed 3 m up a 30° incline by a 50 N force aligned parallel to the ramp. The coefficient of kinetic friction between the ramp and the block is 0.2. a) Calculate the work done by gravity. b) Calculate the work done by the applied force. c) Calculate the work done by the normal force. d) Calculate the work done by the friction force. e) Calculate the net work done on the block. f) Find the speed of the block after traveling this distance. Assume it started at rest. 50 N 30° 3 kg The atwood machine shown is released from rest. Using the work-energy theorem, find the speed of the 10 kg mass after it has fallen a distance of 1 meter. Assume the pulley is massless and there is no friction in the axel. GI initial 10 kg 5 kg Problem 12: A cube of mass m is initially at rest at the peak of an inclined plane, which has a height of 4.6 m and has an angle of 0 = 25° with respect to the horizontal. After it has been released, you notice it to be traveling at v = 5.5 m/s as it leaves the ramp. What is the coefficient of kinetic friction along the ramp?

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Problem 9:
A 3 kg block is pushed 3 m up a 30° incline by
a 50 N force aligned parallel to the ramp. The
coefficient of kinetic friction between the
ramp and the block is 0.2.
a) Calculate the work done by gravity.
b) Calculate the work done by the
applied force.
c) Calculate the work done by the
normal force.
d) Calculate the work done by the
friction force.
e) Calculate the net work done on the
block.
f) Find the speed of the block after
traveling this distance. Assume it
started at rest.
50 N
30°
3 kg
Problem 10:
A small child pulls a 5 kg ducky toy 2.5 m
across an icy (frictionless) level surface using
a rope attached to the toy at an angle of 15°
above horizontal. The child uses 20 N of
force to pull the ducky. Using the work-
energy theorem, determine the speed of the
duck after traveling this distance. 20 N
5 kg
OO
15°
Problem 11:
The atwood machine shown is
released from rest. Using the
work-energy theorem, find the
speed of the 10 kg mass after it
has fallen a distance of 1 meter.
Assume the pulley is massless
and there is no friction in the
axel.
h
Problem 12:
A cube of mass m is initially at rest at the
peak of an inclined plane, which has a height
of 4.6 m and has an angle of 0 = 25° with
respect to the horizontal. After it has been
released, you notice it to be traveling
at v = 5.5 m/s as it leaves the ramp. What is
the coefficient of kinetic friction along the
ramp?
initial
m
0
d
Final
V
m
10
X
10 kg
Problem 13:
You're fishing from a tall pier and have just
caught a 1.5 kg fish. As it breaks the surface,
essentially at rest, the fishing line has a
tension of 16 N. Use work and energy to find
the fish's upward speed after you've lifted it
2.0 m.
Transcribed Image Text:Problem 9: A 3 kg block is pushed 3 m up a 30° incline by a 50 N force aligned parallel to the ramp. The coefficient of kinetic friction between the ramp and the block is 0.2. a) Calculate the work done by gravity. b) Calculate the work done by the applied force. c) Calculate the work done by the normal force. d) Calculate the work done by the friction force. e) Calculate the net work done on the block. f) Find the speed of the block after traveling this distance. Assume it started at rest. 50 N 30° 3 kg Problem 10: A small child pulls a 5 kg ducky toy 2.5 m across an icy (frictionless) level surface using a rope attached to the toy at an angle of 15° above horizontal. The child uses 20 N of force to pull the ducky. Using the work- energy theorem, determine the speed of the duck after traveling this distance. 20 N 5 kg OO 15° Problem 11: The atwood machine shown is released from rest. Using the work-energy theorem, find the speed of the 10 kg mass after it has fallen a distance of 1 meter. Assume the pulley is massless and there is no friction in the axel. h Problem 12: A cube of mass m is initially at rest at the peak of an inclined plane, which has a height of 4.6 m and has an angle of 0 = 25° with respect to the horizontal. After it has been released, you notice it to be traveling at v = 5.5 m/s as it leaves the ramp. What is the coefficient of kinetic friction along the ramp? initial m 0 d Final V m 10 X 10 kg Problem 13: You're fishing from a tall pier and have just caught a 1.5 kg fish. As it breaks the surface, essentially at rest, the fishing line has a tension of 16 N. Use work and energy to find the fish's upward speed after you've lifted it 2.0 m.
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