A sled is tied to a tree on a frictionless, snow-covered hill. If the sled weighs 77.0, what is the magnitude of the tension force T exerted by the rope on the sled and that of the normal force N exerted by the hill on the sled?

1 Answer
Steve J.
Jan 13, 2018

#T = 77.0 N*singamma#

Explanation:

Assumptions: the weight is 77.0 N, the hill is inclined from horizontal at an angle #gamma#.

The weight has a component down the slope, #F_"ds"#, 77.0 N* given by

#F_"ds" = 77.0 N*singamma#

To hold the sled in equilibrium, the magnitude of the tension force, T, must be equal and opposite the force #F_"ds"#. Therefore the magnitude of the tension force is
#T = 77.0 N*singamma#

I hope this helps,
Steve

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