A 27.0-kg child on a 4.00-m-long swing is released from rest when the ropes of the swing make an angle of 25.0° with the vertical. (a) Neglecting friction, find the child's speed at the lowest position. m/s (b) If the actual speed of the child at the lowest position is 2.40 m/s, what is the mechanical energy lost due to friction?

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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**Physics Problem: Analyzing a Child on a Swing**

Consider a 27.0-kg child on a 4.00-m-long swing, released from rest when the ropes of the swing make an angle of 25.0° with the vertical.

**Part A: Neglecting Friction**
Find the child’s speed at the lowest position.
- Solution: _________ m/s

**Part B: Considering Actual Speed**
If the actual speed of the child at the lowest position is 2.40 m/s, determine the mechanical energy lost due to friction.
- Solution: _________ J

Need Help? [Read It] - Click here for guidance and detailed step-by-step solutions.

---

Note: In this problem, you will apply principles of energy conservation and kinematics to solve for the child's speed and the energy lost to friction.
Transcribed Image Text:**Physics Problem: Analyzing a Child on a Swing** Consider a 27.0-kg child on a 4.00-m-long swing, released from rest when the ropes of the swing make an angle of 25.0° with the vertical. **Part A: Neglecting Friction** Find the child’s speed at the lowest position. - Solution: _________ m/s **Part B: Considering Actual Speed** If the actual speed of the child at the lowest position is 2.40 m/s, determine the mechanical energy lost due to friction. - Solution: _________ J Need Help? [Read It] - Click here for guidance and detailed step-by-step solutions. --- Note: In this problem, you will apply principles of energy conservation and kinematics to solve for the child's speed and the energy lost to friction.
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