You set up a ramp as depicted to practice your skateboard skills. The ramp is a wooden board L=8.0 m long and is propped up between the ground level at one end and h=0.7 m at the other end. You approach the ramp from the left (lower ground) at 15 m/s. How fast are you once you get past the ramp (higher ground)? Assume your mass is 75 kg and a constant friction of 79 on the ramp.

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**Physics Experiment: Skateboarding on an Inclined Ramp**

**Scenario Description:**
You set up a ramp as depicted in the diagram to practice your skateboarding skills. The ramp is a wooden board that is 8.0 meters (m) long (denoted as L) and is propped up so that one end is at ground level while the other end is elevated to a height of 0.7 meters (m) (denoted as h).

**Approach:**
You approach the ramp from the left (lower ground) at a speed of 15 meters per second (m/s).

**Objective:**
To determine how fast you are traveling once you pass the ramp and reach the higher ground. 

**Assumptions:**
- Your mass is 75 kilograms (kg).
- Constant frictional force of 79 Newtons (N) acts on the ramp.

**Diagram Explanation:**
1. The diagram illustrates a simplistic side view of the inclined ramp.
2. The horizontal line represents the ground level.
3. The ramp is slanted, connecting from the ground level on the left to an elevated platform on the right.

**Calculations Required:**
To solve the scenario, we need to use principles of energy conservation and account for the work done against friction. Here are the key steps:
1. **Kinetic Energy (Initial):** Calculate the initial kinetic energy (KE_initial) using the formula KE_initial = (1/2)mv^2, where m is mass and v is initial velocity.
2. **Potential Energy (Elevation):** Calculate the potential energy (PE) gained as you move up the ramp using PE = mgh, where h is the height of the ramp.
3. **Work Done Against Friction:** Calculate the work done against friction using Work_friction = friction force * distance (L).
4. **Kinetic Energy (Final):** Determine the final kinetic energy (KE_final) considering the initial kinetic energy, potential energy gained, and work done against friction.
5. **Final Velocity:** Solve for the final velocity (v) using the formula KE_final = (1/2)mv^2.

Following these steps will enable you to find out how fast you are traveling when you reach the higher ground past the ramp.
Transcribed Image Text:**Physics Experiment: Skateboarding on an Inclined Ramp** **Scenario Description:** You set up a ramp as depicted in the diagram to practice your skateboarding skills. The ramp is a wooden board that is 8.0 meters (m) long (denoted as L) and is propped up so that one end is at ground level while the other end is elevated to a height of 0.7 meters (m) (denoted as h). **Approach:** You approach the ramp from the left (lower ground) at a speed of 15 meters per second (m/s). **Objective:** To determine how fast you are traveling once you pass the ramp and reach the higher ground. **Assumptions:** - Your mass is 75 kilograms (kg). - Constant frictional force of 79 Newtons (N) acts on the ramp. **Diagram Explanation:** 1. The diagram illustrates a simplistic side view of the inclined ramp. 2. The horizontal line represents the ground level. 3. The ramp is slanted, connecting from the ground level on the left to an elevated platform on the right. **Calculations Required:** To solve the scenario, we need to use principles of energy conservation and account for the work done against friction. Here are the key steps: 1. **Kinetic Energy (Initial):** Calculate the initial kinetic energy (KE_initial) using the formula KE_initial = (1/2)mv^2, where m is mass and v is initial velocity. 2. **Potential Energy (Elevation):** Calculate the potential energy (PE) gained as you move up the ramp using PE = mgh, where h is the height of the ramp. 3. **Work Done Against Friction:** Calculate the work done against friction using Work_friction = friction force * distance (L). 4. **Kinetic Energy (Final):** Determine the final kinetic energy (KE_final) considering the initial kinetic energy, potential energy gained, and work done against friction. 5. **Final Velocity:** Solve for the final velocity (v) using the formula KE_final = (1/2)mv^2. Following these steps will enable you to find out how fast you are traveling when you reach the higher ground past the ramp.
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