3. If a block of mass m starts from rest at position 3 as shown below, with the spring of stiffness k compressed a distance Ax3, and slides across the frictionless plane x=0 what is its speed at position 2? (Hint: use conservation of energy.) Note: This problem gives no numbers, so don't put in numbers to do this problem. Of course you can on your scratch paper, if you want to, but for the work on this test, you need to leave it as an algebraic problem. a. V2 = b. If the block continues to slide up the frictionless incline, what is the height, h, at which it stops before sliding back down?

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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**Problem 3:**

A block of mass \( m \) starts from rest at position 3, with the spring of stiffness \( k \) compressed a distance \( \Delta x_3 \), and slides across the frictionless plane.

**Diagram Explanation:**

The diagram depicts three positions:
1. Position 3: The block is compressed against a spring.
2. Position 2: The block is in motion on a flat frictionless surface.
3. Position 1: The block is on a frictionless incline at height \( h \).

**Questions:**

a. What is its speed at position 2? (*Hint: use conservation of energy.*)

*Note: This problem gives no numbers, so don't put in numbers to do this problem. Of course, you can on your scratch paper if you want to, but for the work on this test, you need to leave it as an algebraic problem.*

\[ v_2 = \underline{\hspace{5cm}} \]

b. If the block continues to slide up the frictionless incline, what is the height, \( h \), at which it stops before sliding back down?

\[ h = \underline{\hspace{5cm}} \]
Transcribed Image Text:**Problem 3:** A block of mass \( m \) starts from rest at position 3, with the spring of stiffness \( k \) compressed a distance \( \Delta x_3 \), and slides across the frictionless plane. **Diagram Explanation:** The diagram depicts three positions: 1. Position 3: The block is compressed against a spring. 2. Position 2: The block is in motion on a flat frictionless surface. 3. Position 1: The block is on a frictionless incline at height \( h \). **Questions:** a. What is its speed at position 2? (*Hint: use conservation of energy.*) *Note: This problem gives no numbers, so don't put in numbers to do this problem. Of course, you can on your scratch paper if you want to, but for the work on this test, you need to leave it as an algebraic problem.* \[ v_2 = \underline{\hspace{5cm}} \] b. If the block continues to slide up the frictionless incline, what is the height, \( h \), at which it stops before sliding back down? \[ h = \underline{\hspace{5cm}} \]
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