Calculating Change in Gravitational PE for 70 kg Skier

AI Thread Summary
To calculate the change in gravitational potential energy for a 70 kg skier on a 2700 m lift at a 14.3° angle, one must consider the height gained. The skier's potential energy change can be determined using the formula PE = mgh, where h is the vertical height derived from the lift's length and angle. There is confusion regarding the equation Ef * s = mas, particularly about the meaning of symbols and their units. The discussion highlights that the equation does not balance correctly, as it mixes energy and force terms improperly. Understanding the correct application of energy and force equations is crucial for solving the problem accurately.
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Homework Statement



A 70.0 kg skier rides a 2700 m long lift to the top of a mountain. The lift makes an angle of 14.3° with the horizontal. What is the change in the skier's gravitational potential energy?
in Joules


Homework Equations





The Attempt at a Solution



I can't seem to find why Ef * s = mas
does not work?

i've tried using the equation for an answer and it doesn't seem to give me the right answer.
 
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What is the meaning of the symbols in "Ef * s = mas", especially the *?
 
E = "work done by net ext. force

s = displacement

m = mass
a = acceleration
 
Thanks :-)

The f and the * ?
 
f = force and * = multiplication
 
Thanks :-)

* = multiplication, the same as between E and f, m and a, and a and s?

If that's correct then the equation could be rewritten as
Efs = mas
which would be a strange equation because the s is useless; the equation is equivalent to
Ef = ma
and that can't be right because E, work/energy, is force times distance and ma is force so the equation would not be balanced -- the units would not be the same on each side. It would be saying
force x distance x force x distance = force
 
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