A 80kg T-Rex decides to go skiing. He starts at the base of the mountain and...

A 80kg T-Rex decides to go skiing. He starts at the base of the mountain and rides the ski lift up to the top of the mountain at 600m above the base. The ski lift ride takes 4 minutes.

a. What is the power of the process used to lift him up the mountain?

b. If he starts at the top of the mountain and skis all the way down, how fast would he be moving at the base of the mountain? Support your answer with a work-energy bar chart.

c. What assumption(s) did you make in answering part b? Are they reasonable? Is your answer to part b greater or smaller than what it would be if you were to measure this experimentally?

Solutions

Expert Solution

Q1.(A)

ANS- Power of the process is , P= work done /time = mgh/t= (80*9.8*600)/4 =117600Watt

So, Power of the process is 117600Watt.

(B)

ANS- From conservation of energy-

total energy at top = total energy at bottom

P.E_i + K.E_i. = P.E_f + K.E_f

mgh + 0 = 0 + mv^2 /2

v= sqrrt(2gh)= sqrrt(2*9.8*600) =108.44 m/s

So, speed at the base of mountain is 108.44 m/s.

(C)

Ans- Assumptions- Friction, air resistance and any other non conservative forces are not present.

speed will be less if we measure it experimentally , since in reality there is friction force acting on Trex and air resistance hence some energy will be lost there and hence t rex will have less energy than what we calculated .

genius_generous answered 1 year ago

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