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

In summary, the problem involves a 70kg skier riding a chairlift up a slope and skiing back down. We need to calculate the work done against gravity by the chairlift, which is found by multiplying the force (70kg) by the distance (20m), which equals 1400. The next question asks for the skier's speed at the bottom of the chairlift, which can be found by equating the potential energy change (mgh) to the kinetic energy (1/2mv^2) and solving for v.
  • #1
Phykid
14
0

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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  • #2
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
 
  • #3
So if I am working it out against gravity, would I multiply the 14000 by 10 (gravity)?

Thanks.
Phykid
 

What is work done by a skier on a ski slope?

The work done by a skier on a ski slope refers to the amount of energy expended by the skier in moving from one point to another on the slope. It is a measure of the force applied by the skier over a certain distance.

How do you calculate work done by a skier on a ski slope?

The work done by a skier on a ski slope can be calculated by multiplying the force applied by the skier by the distance traveled. Mathematically, it can be represented as W = F x d, where W is the work done, F is the force applied, and d is the distance traveled.

What are the units of work done by a skier on a ski slope?

The units of work done by a skier on a ski slope are joules (J) in the SI system. In other systems, it can be expressed as foot-pounds (ft-lb) or calories (cal).

How can you find the speed of a skier on a ski slope?

The speed of a skier on a ski slope can be found by dividing the distance traveled by the time taken. It can be represented as v = d/t, where v is the speed, d is the distance traveled, and t is the time taken.

What factors can affect the work done by a skier on a ski slope?

The work done by a skier on a ski slope can be affected by various factors, such as the slope gradient, the skier's weight, air resistance, and the type of snow on the slope. Other factors like the skier's technique and equipment can also impact the amount of work done.

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