Respuesta :
Answer:
17304 J
Explanation:
Complete statement of the question is :
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 84 kg , are pulled at a constant speed by a tow rope that maintains a constant tension of 350 N .
Part A
How much thermal energy is created in the slope and the tube during the ascent of a 30-m-high, 120-m-long slope?
Solution :
[tex]T[/tex] = tension force in the tow rope = 350 N
[tex]L[/tex] = length of the incline surface = 120 m
[tex]W_{t}[/tex] = work done by tension force = ?
The tension force acts parallel to incline surface, hence work done by tension force is given as
[tex]W_{t} = T L\\W_{t} = (350) (120)\\W_{t} = 42000 J[/tex]
[tex]h[/tex] = height gained by the rider = 30 m
[tex]m[/tex] = total mass of rider and tube = 84 kg
Potential energy gained is given as
[tex]U = mgh\\U = (84) (9.8) (30)\\U = 24696 J[/tex]
[tex]Q[/tex] = Thermal energy created
Using conservation of energy
[tex]Q = W_{t} - U\\Q = 42000 - 24696\\Q = 17304 J[/tex]
