Momentum of projectile, i think

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The discussion revolves around a physics problem involving a sled and rider with a combined mass of 125 kg, focusing on how far the sled lands from the foot of a cliff. The user initially expresses confusion about how to approach the problem, particularly in applying the concepts of momentum and energy conservation. A participant suggests using energy conservation to determine the sled's velocity at the cliff's edge, followed by applying kinematics for the horizontal motion. The user confirms that understanding the energy conservation principle simplifies the problem, noting that mass can be disregarded in the calculations. The conversation emphasizes the importance of clear problem presentation and the utility of diagrams in understanding physics concepts.
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This is a question from an OWL program with my General Physics class. We are currently covering momentum, and this one throws me a curve.

A sled with rider having a combined mass of 125 kg travels over the perfectly smooth icy hill shown in the accompanying figure. (See Attachment)

How far (in m) does the sled land from the foot of the cliff?


Formulas:

Unknown...confused on how to approach problem.

Not exactly sure of how to go about this one, any suggestions?
 

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Please post in the proper format, because it makes it easier to answer questions. Also, a diagram would really help me understand this question if you can post one.
 
Sorry about the jumbled mess. I'm a noob here, and didn't keep the formatting in the original post. I'll know better next time. I have added the diagram from the problem now, and reworded the question, so maybe it is easier to understand now.
Thanks.
 
Well, since there is no friction - no dissipative forces, you can use energy conservation to get the velocity at the top of the cliff. After that, it's a simple kinematic problem involving some object flying off a cliff horizontally.
 
Thanks, matterwave, that makes it a lot simpler for me! I appreciate your help.
Peace and Grace to you!
 
I have used the law of energy conservation:
1/2mv_0^2=1/2mv^2+mgh, but then all mass crosses out. is this okay to solve the problem without using given mass?
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
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