In this problem, the block moves in the horizontal direction only. ### Diagram: - A block is depicted, and an arrow represents a force \( F = 40 \, \text{N} \) applied at a 30-degree angle to the horizontal. ### Instructions: **A.** Find the work done if the force is applied for a distance of \( d = 2 \, \text{m} \). **B.** If the mass is \( m = 6 \, \text{kg} \) and the initial velocity is \( V_i = 0 \), use the work-energy theorem to find the final velocity. **C.** If the process in part (B) took a time of \( t = 0.8 \, \text{s} \), use your answer from part (B) to calculate the acceleration of the block. **D.** Now use Newton’s second law (in the x-direction) to calculate the acceleration. Your answers from Part (C) and (D) should be pretty close. They're different because of rounding errors.

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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In this problem, the block moves in the horizontal direction only.

### Diagram:
- A block is depicted, and an arrow represents a force \( F = 40 \, \text{N} \) applied at a 30-degree angle to the horizontal.

### Instructions:

**A.** Find the work done if the force is applied for a distance of \( d = 2 \, \text{m} \).

**B.** If the mass is \( m = 6 \, \text{kg} \) and the initial velocity is \( V_i = 0 \), use the work-energy theorem to find the final velocity.

**C.** If the process in part (B) took a time of \( t = 0.8 \, \text{s} \), use your answer from part (B) to calculate the acceleration of the block.

**D.** Now use Newton’s second law (in the x-direction) to calculate the acceleration. Your answers from Part (C) and (D) should be pretty close. They're different because of rounding errors.
Transcribed Image Text:In this problem, the block moves in the horizontal direction only. ### Diagram: - A block is depicted, and an arrow represents a force \( F = 40 \, \text{N} \) applied at a 30-degree angle to the horizontal. ### Instructions: **A.** Find the work done if the force is applied for a distance of \( d = 2 \, \text{m} \). **B.** If the mass is \( m = 6 \, \text{kg} \) and the initial velocity is \( V_i = 0 \), use the work-energy theorem to find the final velocity. **C.** If the process in part (B) took a time of \( t = 0.8 \, \text{s} \), use your answer from part (B) to calculate the acceleration of the block. **D.** Now use Newton’s second law (in the x-direction) to calculate the acceleration. Your answers from Part (C) and (D) should be pretty close. They're different because of rounding errors.
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