In the winter activity of tubing, riders slide down snow covered slopes while sitting on large inflated rubber tubes. To get to the top of the slope, a rider and his tube, with a total mass of 88 kgkg , are pulled at a constant speed by a tow rope that maintains a constant tension of 350 NN . How much thermal energy is created in the slope and the tube during the ascent of a 30-m-high, 120-m-long slope?

16.10 kJ

Explanation:

The thermal energy created in the slope can be found by definition of work (W):  

Where:

and : is the final and initial kinetic energy

: is the final potential energy

and : is the final and initial thermal energy

We have that W is:

Where:

F: is the force equal to the tension (T)

d: is the displacement = 120 m

And since the speed is constant, = we have:

Therefore, the thermal energy created in the slope and the tube during the ascent is 16.10 kJ.

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