Work Done by Skier on Ski Slope: Calculate & Find Speed

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SUMMARY

The discussion centers on calculating the work done by a chairlift in transporting a skier with a mass of 70 kg to a height of 20 m. The work done against gravity is calculated using the formula Work Done = F x D, resulting in 1400 Joules. Additionally, the skier's speed at the bottom of the slope can be determined by equating potential energy (PE = mgh) to kinetic energy (KE = 1/2 mv²), with gravitational acceleration set at 10 N/kg.

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Homework Statement


A skier with a mass of 70kg rides a chairlift to a point of 20m higher up a ski slope.
She then Skis back down to the bottom of the chairlift.

Calculate the work done against gravity by the chairlift in carrying the skier up the slope
(Assume that g=10n/kg)

Homework Equations


Work Done = F x D


The Attempt at a Solution


Work done = 70 x 20
= 1400

*This is the part where I am confused.*

When we started out doing Work done, we never involved work done against another force. So Would I multiply the Work Done (1400) by 10 (kg, Gravity)?

Thanks,
Phykid

Edit - The following question: "Find the skier's speed when she reaches the bottom of the chairlift.
Ignore the effects of friction and air resistance and assume that g=10n/kg
 
Last edited:
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Rememebr the force is the weight of the skier in Newtons, F = m g

To get the speed simply assume that potential energy change PE = m g h
equals the kinetic energy KE = 1/2 m v^2
 
So if I am working it out against gravity, would I multiply the 14000 by 10 (gravity)?

Thanks.
Phykid
 

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