In 2 minutes, a ski lift raises four skiers at a constant speed to a height of 123 m. The average mass of each skier is 71 kg. What is the average power provided by the tension in the cable pulling the lift

Answer :

Answer:

The average power  provided by the tension in the cable pulling the lift is = 714 W

Explanation:

Given data

Mass = 71 kg

Change in height = 123 m

When the lift moves in upward direction then in that case kinetic energy is constant & only potential energy changes.

Change in potential energy Δ PE = m g ( [tex]h_f - h _ i[/tex] )

Δ PE = 71 × 9.81 × 123

Δ PE = 85670.73 J

Time = 2 min = 120 sec

So average power is given by

[tex]P_{avg} = \frac{Change \ in \ potential \ energy}{Time}[/tex]

[tex]P_{avg} = \frac{85670.73}{120}[/tex]

[tex]P_{avg} = 714 \ W[/tex]

Therefore the average power  provided by the tension in the cable pulling the lift is = 714 W

Answer:

The answer is 714.23

Explanation:

Power= Watts/Time

Watts=0.5mv(final)^2+mgh

m=mass=71

v(final)= the final velocity=?

g=gravity=9.8

h=height=123m

step 1. find the unknown velocity.

v(f)=change in distance/change in time

they started at 0for both of these values so...

123meters /120seconds=1.025 v

step 2. solve for power.

now we can find power (0.5mv(final)^2+mgh/Time)

[0.5(71)(1.025)^2+(71)(9.8)(123)]/120 seconds=714.2335599...

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