* 22. A sled of mass m = 30 kg (including the load sitting on the sled) is pulled by a rope across a level field of snow, as shown below. The tension in the rope has a constant magnitude of 100 newtons and makes an angle of 37° with respect to the horizontal. A friction force of 50 N acts on the sled. Follow the steps below to find the acceleration of the sled. Rope T= 100 N Sled m = 30 kg 37 a) Draw a free-body diagram for the sled. Label each of your forces as described on pages 87-88. b) If any of the forces on your diagram are pointing in some awkward direction (like 37° with respect to horizontal), break this force up into a horizontal component (x-part) and a vertical component (y-part). c) Find the magnitude of the gravitational force acting on the sled. (Remember the approximation g= 10 N/kg.) d) Use Newton's second law and the fact that the sled has no acceleration in the y-direc- tion to solve for the magnitude of the normal force exerted by the snow on the sled.

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** 22. A sled of mass m = 30 kg (including the load sitting on the sled) is pulled by a rope
across a level field of snow, as shown below. The tension in the rope has a constant magnitude
of 100 newtons and makes an angle of 37º with respect to the horizontal. A friction force of
50 N acts on the sled. Follow the steps below to find the acceleration of the sled.
Rope
T= 100 N
Sled
m = 30 kg
37
a) Draw a free-body diagram for the sled. Label each of your forces as described on
pages 87-88.
b) If any of the forces on your diagram are pointing in some awkward direction (like
37° with respect to horizontal), break this force up into a horizontal component (x-part)
and a vertical component (y-part).
c) Find the magnitude of the gravitational force acting on the sled. (Remember the
approximation g = 10 N/kg.)
d) Use Newton's second law and the fact that the sled has no acceleration in the y-direc-
tion to solve for the magnitude of the normal force exerted by the snow on the sled.
e) Use Newton's second law to find the acceleration of the sled. (Remember the friction
force!)
Transcribed Image Text:** 22. A sled of mass m = 30 kg (including the load sitting on the sled) is pulled by a rope across a level field of snow, as shown below. The tension in the rope has a constant magnitude of 100 newtons and makes an angle of 37º with respect to the horizontal. A friction force of 50 N acts on the sled. Follow the steps below to find the acceleration of the sled. Rope T= 100 N Sled m = 30 kg 37 a) Draw a free-body diagram for the sled. Label each of your forces as described on pages 87-88. b) If any of the forces on your diagram are pointing in some awkward direction (like 37° with respect to horizontal), break this force up into a horizontal component (x-part) and a vertical component (y-part). c) Find the magnitude of the gravitational force acting on the sled. (Remember the approximation g = 10 N/kg.) d) Use Newton's second law and the fact that the sled has no acceleration in the y-direc- tion to solve for the magnitude of the normal force exerted by the snow on the sled. e) Use Newton's second law to find the acceleration of the sled. (Remember the friction force!)
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