Velocity of 84 kg Skier Jumper After Jumping 105 m Hill

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The discussion centers around calculating the velocity of an 84 kg skier jumper after jumping from a height of 105 m on a 220 m hill. Initially, the kinetic energy was incorrectly calculated without considering the potential energy at the top of the hill. The correct approach involves applying the conservation of energy principle, where the potential energy at the top is converted into kinetic energy at the jump. The potential energy at the top is calculated as 181,104 J, and at the jump height, it is 86,436 J, leading to a net energy of 94,668 J. This results in a final velocity of approximately 47.47 m/s, which is deemed correct.
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A84 kg skier jumper starts fro rest at the top of a 220 m hill. What is the velocity of the skier jumper, if the jump is 105 m from the bottom of the hill.

My Proof:

m=84 KG
h=105 m
Eg=84kg*9.8N/kg*105m
Eg=86436J
so Eg=Ek
86436J=1/2*85*V^2
V=45..36m/s


Is that right or Wrong?
 
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It's wrong.

You must consider the energy he has at the top of the hill. Apply conservation of energy between that height and the height of the jump.
 
hage567 said:
It's wrong.

You must consider the energy he has at the top of the hill. Apply conservation of energy between that height and the height of the jump.
i didn't understand u
can u explain me?
 
Well for one thing, the kinetic energy the skier has at the time he reaches the jump must come from somewhere. The change in potential energy between the top of the hill and the jump is what will determine the kinetic energy at the jump. It will determine his velocity.

Why don't you think the potential energy the skier has at the top of the hill is important in finding out how much kinetic energy he has at the jump?
 
hage567 said:
Well for one thing, the kinetic energy the skier has at the time he reaches the jump must come from somewhere. The change in potential energy between the top of the hill and the jump is what will determine the kinetic energy at the jump. It will determine his velocity.

Why don't you think the potential energy the skier has at the top of the hill is important in finding out how much kinetic energy he has at the jump?
can u give me proof?
 
Tell me why you think it's wrong.

You have not shown any reasoning for your answer.
 
hage567 said:
Tell me why you think it's wrong.

You have not shown any reasoning for your answer.

because i am not sure about my answer
 
because i am not sure about my answer
Well you must have done your answer that way for some reason.

can u give me proof?
What kind of proof are you looking for? I'm not going to give you the answer if that's what you mean.

Have you tried to use my idea to solve this problem? What about it is giving you trouble?
Can you find the total energy of the skier when he is at rest at the top of the hill?
 
hage567 said:
Well you must have done your answer that way for some reason.


What kind of proof are you looking for? I'm not going to give you the answer if that's what you mean.

Have you tried to use my idea to solve this problem? What about it is giving you trouble?
Can you find the total energy of the skier when he is at rest at the top of the hill?

Eg=mghA
Eg=84kg*9.8N/kg*220m
Eg=181104J


Eg=mghB
Eg=84kg*9.8N/kg*105m
Eg=86436J


Eg=181104J-86436J
Eg=94668J

So Eg=Ek
94668JJ=1/2*85*V^2
V=47.47m/s


Is that right or Wrong?
 
  • #10
I would say that is right.
 
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