2) A 400-N block is dragged along a horizontal surface by an applied force F as shown. The coefficient of kinetic friction is uk = 0.4 and the block moves at constant velocity. The magnitude of F is:
2) A 400-N block is dragged along a horizontal surface by an applied force F as shown. The coefficient of kinetic friction is uk = 0.4 and the block moves at constant velocity. The magnitude of F is:
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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Transcribed Image Text:**Problem Statement:**
A 400-N block is dragged along a horizontal surface by an applied force \( \vec{F} \) as shown in the diagram. The coefficient of kinetic friction is \( \mu_k = 0.4 \) and the block moves at constant velocity. The magnitude of \( \vec{F} \) is:
A) 100 N
B) 150 N
C) 200 N
D) 290 N
E) 400 N
**Diagram Explanation:**
- The diagram shows a block on a horizontal surface.
- An applied force \( \vec{F} \) is acting on the block at an angle.
- The force \( \vec{F} \) is decomposed into two components:
- The vertical component is \( \frac{3}{5}F \).
- The horizontal component is \( \frac{4}{5}F \).
**Notes:**
- Since the block moves at a constant velocity, the net force on it is zero.
- This means the horizontal component of the applied force must balance out the frictional force.
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