Calculating Change in Gravitational PE for 70 kg Skier

In summary, a skier weighing 70.0 kg takes a 2700 m lift ride at a 14.3° angle to the horizontal to the top of a mountain. The skier's change in gravitational potential energy can be calculated using the equation Ef = mgh, where m is the mass of the skier, g is the acceleration due to gravity, and h is the change in height. The symbols in the equation Ef * s = mas represent force, displacement, mass, and acceleration, respectively, with * representing multiplication. However, this equation does not work because it is equivalent to Ef = ma, which would result in different units on each side.
  • #1
rcmango
234
0

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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  • #2
What is the meaning of the symbols in "Ef * s = mas", especially the *?
 
  • #3
E = "work done by net ext. force

s = displacement

m = mass
a = acceleration
 
  • #4
Thanks :-)

The f and the * ?
 
  • #5
f = force and * = multiplication
 
  • #6
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
 

1. How do you calculate the change in gravitational potential energy for a 70 kg skier?

The change in gravitational potential energy can be calculated using the formula ΔPE = mgh, where m is the mass of the skier (70 kg), g is the acceleration due to gravity (9.8 m/s²), and h is the change in height.

2. What is the unit of measurement for change in gravitational potential energy?

The unit of measurement for change in gravitational potential energy is joules (J).

3. How is the change in height determined for a skier?

The change in height for a skier can be determined by measuring the vertical distance between the starting point and the ending point of the skier's movement.

4. Can the change in gravitational potential energy be negative?

Yes, the change in gravitational potential energy can be negative if the skier's starting and ending points are at different heights. This would indicate a decrease in potential energy.

5. Does the skier's speed affect the change in gravitational potential energy?

No, the skier's speed does not directly affect the change in gravitational potential energy. However, a higher speed may result in a larger change in kinetic energy, which would indirectly affect the change in gravitational potential energy.

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