Part a and b. Include sketch please

College Physics
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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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Part a and b. Include sketch please

In this educational image, a small block of mass \( m = 0.032 \, \text{kg} \) is shown sliding along a frictionless loop-the-loop. The loop has a radius \( R = 12 \, \text{cm} \). Initially, the block is at height \( h = 5.0R \) above the bottom of the loop at point \( P \), with an initial velocity \( v_0 = 5 \, \text{m/s} \).

**Question:**
If the gravitational potential energy of the block-Earth system is zero at the bottom of the loop, what is the velocity of the block when it is: 
(a) at point \( Q \), and 
(b) at the top of the loop?

**Sketch and Label:**
- The diagram depicts a vertical loop with a block.
- Point \( P \) is at the top left side, where the block starts from height \( h = 5.0R \).
- The loop has a circular section at the bottom with its radius marked as \( R \).
- Point \( Q \) is on the right side of the loop, at the same vertical level as the center of the loop, aligned with the radius \( R \) vertically.
- The block is shown at both points \( P \) and \( Q \).

This setup is for analyzing the conservation of energy involving kinetic and potential energy as the block moves through the loop.
Transcribed Image Text:In this educational image, a small block of mass \( m = 0.032 \, \text{kg} \) is shown sliding along a frictionless loop-the-loop. The loop has a radius \( R = 12 \, \text{cm} \). Initially, the block is at height \( h = 5.0R \) above the bottom of the loop at point \( P \), with an initial velocity \( v_0 = 5 \, \text{m/s} \). **Question:** If the gravitational potential energy of the block-Earth system is zero at the bottom of the loop, what is the velocity of the block when it is: (a) at point \( Q \), and (b) at the top of the loop? **Sketch and Label:** - The diagram depicts a vertical loop with a block. - Point \( P \) is at the top left side, where the block starts from height \( h = 5.0R \). - The loop has a circular section at the bottom with its radius marked as \( R \). - Point \( Q \) is on the right side of the loop, at the same vertical level as the center of the loop, aligned with the radius \( R \) vertically. - The block is shown at both points \( P \) and \( Q \). This setup is for analyzing the conservation of energy involving kinetic and potential energy as the block moves through the loop.
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