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 80 kg, are pulled at a constant speed by a tow rope that maintains a constant tension of 360 N. How much thermal energy is created in the slope and the tube during the ascent of a 30-m-high, 120-m-long slope?

Answers

Answer 1

Answer:

The amount of thermal energy that is created in the slope and the tube during the ascent is 19680 Joules.

Given the following data:

Total mass = 80 kg

Tension = 360 Newton

Height = 30 meters

Displacement = 120 meters

To find the amount of thermal energy that is created in the slope and the tube during the ascent:

By applying the Law of Conservation of Energy:

$Work\;done = K.E + P.E + T.E$

Where:

K.E is the kinetic energy.

P.E is the potential energy.

T.E is the thermal energy.

Since the rider and his tube are pulled at a constant speed, K.E is equal to zero (0).

Therefore, the formula now becomes:

$Work\;done = 0 + P.E + T.E\n\nT.E = Work\;done-P.E$

For the work done:

$Work\;done = Tensional\;force * displacement\n\nWork\;done = 360 * 120$

Work done = 43,200 Joules.

For P.E:

$P.E = mgh\n\nP.E = 80*9.8*30$

P.E = 23,520 Joules.

Now, we can find the amount of thermal energy:

$T.E = Work\;done-P.E\n\nT.E =43200-23520$

T.E = 19680 Joules.

Answer 2

Answer:

Answer:

$E_(th) = 19680 J$

Explanation:

GIVEN DATA:

Total mass ( rider + his tube) = 80 kg

tension Force = 360 N

height of slope = 30 m

length of slope = 120 m

we know that thermal energy is given as

E_{th} = W- Ug

W= F*d = (360N*120m)= 43200 J

Ug= m*g*h = (80kg*9.8m/s2*30m) = 23520 J

$E_(th) = 43200J - 23520 J$

$E_(th) = 19680 J$

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Answers

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Answers

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Answers

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Answers

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