A block (4 kg) starts from rest and slides down a frictionless ramp #1 of height 9 m. The block then slides a horizontal distance of 1.5 m on a rough surface with kinetic coefficient of friction Hk = 0.5. Next, it slides back up another frictionless ramp #2. Find the following numerical energy values: Initial gravitational potential energy on Ramp #1: U1G = Submit Answer Tries 0/2 Kinetic energy at bottom of Ramp #1 before traveling across the rough surface: K= Submit Answer Tries 0/2 Magnitude of Heat dissipated by friction after traveling across the rough surface: fAs = Submit Answer Tries 0/2 Kinetic energy at bottom of Ramp #2 after traveling across the rough surface: K- Submit Answer Tries 0/2 Final gravitational potential energy on Ramp #2 after momentarily stopping: U₂G = Submit Answer Tries 0/2 The block then slides back down Ramp #2 and across the rough surface to Ramp #1 again. Find the following numerical energy values: Kinetic energy at bottom of Ramp #1 after traveling across the rough surface again: K = Submit Answer Tries 0/2 Final gravitational potential energy on Ramp #1 after momentarily stopping: U1G = Submit Answer Tries 0/2

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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# Block Sliding on Ramps: Energy Calculations

**Scenario Description:**
A block with a mass of 4 kg starts from rest and slides down a frictionless ramp #1 of height 9 meters. The block then slides a horizontal distance of 1.5 meters on a rough surface with a kinetic coefficient of friction \(\mu_k = 0.5\). After crossing the rough surface, it slides back up another frictionless ramp #2. 

**Tasks:**
Calculate the following numerical energy values:

1. **Initial gravitational potential energy on Ramp #1 (\( U_{1G} \)):**
   * Formula: \( U_{1G} = mgh \)
   * Enter your answer in the box provided.
   ```html
   <label for="initialU1G">Initial gravitational potential energy on Ramp #1: U1G = </label>
   <input type="text" id="initialU1G" name="initialU1G"/>
   <button onclick="submitAnswer('initialU1G')">Submit Answer</button>
   ```
   
2. **Kinetic energy at the bottom of Ramp #1 before traveling across the rough surface (\( K \)):**
   * Formula: \( K = \frac{1}{2}mv^2 \)
   * Enter your answer in the box provided.
   ```html
   <label for="kineticBottomRamp1">Kinetic energy at bottom of Ramp #1 before traveling across the rough surface: K = </label>
   <input type="text" id="kineticBottomRamp1" name="kineticBottomRamp1"/>
   <button onclick="submitAnswer('kineticBottomRamp1')">Submit Answer</button>
   ```
   
3. **Magnitude of heat dissipated by friction after traveling across the rough surface (\( f \Delta s \)):**
   * Formula: \( f \Delta s = \mu_k m g \Delta s \)
   * Enter your answer in the box provided.
   ```html
   <label for="heatDissipated">Magnitude of Heat dissipated by friction after traveling across the rough surface: fΔs = </label>
   <input type="text" id="heatDissipated" name="heatDissipated"/>
   <button onclick="submitAnswer('heatDissipated')">Submit Answer</button>
   ```
   
4.
Transcribed Image Text:# Block Sliding on Ramps: Energy Calculations **Scenario Description:** A block with a mass of 4 kg starts from rest and slides down a frictionless ramp #1 of height 9 meters. The block then slides a horizontal distance of 1.5 meters on a rough surface with a kinetic coefficient of friction \(\mu_k = 0.5\). After crossing the rough surface, it slides back up another frictionless ramp #2. **Tasks:** Calculate the following numerical energy values: 1. **Initial gravitational potential energy on Ramp #1 (\( U_{1G} \)):** * Formula: \( U_{1G} = mgh \) * Enter your answer in the box provided. ```html <label for="initialU1G">Initial gravitational potential energy on Ramp #1: U1G = </label> <input type="text" id="initialU1G" name="initialU1G"/> <button onclick="submitAnswer('initialU1G')">Submit Answer</button> ``` 2. **Kinetic energy at the bottom of Ramp #1 before traveling across the rough surface (\( K \)):** * Formula: \( K = \frac{1}{2}mv^2 \) * Enter your answer in the box provided. ```html <label for="kineticBottomRamp1">Kinetic energy at bottom of Ramp #1 before traveling across the rough surface: K = </label> <input type="text" id="kineticBottomRamp1" name="kineticBottomRamp1"/> <button onclick="submitAnswer('kineticBottomRamp1')">Submit Answer</button> ``` 3. **Magnitude of heat dissipated by friction after traveling across the rough surface (\( f \Delta s \)):** * Formula: \( f \Delta s = \mu_k m g \Delta s \) * Enter your answer in the box provided. ```html <label for="heatDissipated">Magnitude of Heat dissipated by friction after traveling across the rough surface: fΔs = </label> <input type="text" id="heatDissipated" name="heatDissipated"/> <button onclick="submitAnswer('heatDissipated')">Submit Answer</button> ``` 4.
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