Sam (75 kg) takes off (from rest) up a 50-m-high, 10° frictionless slope on his jet-powered skis. The skis have a thrust of 200 N. The thrust is turned off at the end of the ramp. How far does Sam land from the base of the cliff?

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### Problem Description:

Sam (75 kg) takes off (from rest) up a 50-m-high, 10° frictionless slope on his jet-powered skis. The skis provide a thrust of 200 N. The thrust is turned off at the end of the ramp. The question posed is how far Sam lands from the base of the cliff.

### Diagram Explanation:

The diagram illustrates Sam starting at the base of a slope, initially at rest. The slope is 10° inclined and frictionless. The slope culminates 50 meters high with a point indicated as the take-off from which Sam performs his jump. The diagram further shows Sam's trajectory path after the end of the ramp, continuing along a 10° angle. 

### Key Elements:

- **Start Position:** Sam begins at the base of the 10° slope.
- **Incline:** The slope from which Sam begins is inclined at 10° and is frictionless, allowing acceleration without frictional resistance.
- **Height Achieved:** The ramp measures a vertical height of 50 meters from the base.
- **Thrust:** Jet-powered skis provide a thrust of 200 N up the slope.
- **End of Thrust:** The thrust ceases once Sam reaches the end of the 50-meter-high ramp.
- **Sam's Mass:** He has a mass of 75 kg.
- **Landing Distance:** The objective is to calculate the distance from the base of the cliff where Sam will land after taking off from the slope. 

This representation considers the principles of physics involving motion on an inclined plane, projectile motion, and forces exerted.
Transcribed Image Text:### Problem Description: Sam (75 kg) takes off (from rest) up a 50-m-high, 10° frictionless slope on his jet-powered skis. The skis provide a thrust of 200 N. The thrust is turned off at the end of the ramp. The question posed is how far Sam lands from the base of the cliff. ### Diagram Explanation: The diagram illustrates Sam starting at the base of a slope, initially at rest. The slope is 10° inclined and frictionless. The slope culminates 50 meters high with a point indicated as the take-off from which Sam performs his jump. The diagram further shows Sam's trajectory path after the end of the ramp, continuing along a 10° angle. ### Key Elements: - **Start Position:** Sam begins at the base of the 10° slope. - **Incline:** The slope from which Sam begins is inclined at 10° and is frictionless, allowing acceleration without frictional resistance. - **Height Achieved:** The ramp measures a vertical height of 50 meters from the base. - **Thrust:** Jet-powered skis provide a thrust of 200 N up the slope. - **End of Thrust:** The thrust ceases once Sam reaches the end of the 50-meter-high ramp. - **Sam's Mass:** He has a mass of 75 kg. - **Landing Distance:** The objective is to calculate the distance from the base of the cliff where Sam will land after taking off from the slope. This representation considers the principles of physics involving motion on an inclined plane, projectile motion, and forces exerted.
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