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A box of mass m = 20.0 kg is pulled up a ramp that is inclined at an angle 0 = 15.0° angle with respect to the horizontal. The coefficient of kinetic friction between the box and the ramp is 4 = 0.335, and the rope pulling the box is parallel to the ramp. If the box accelerates up the ramp at a rate of a = 2.89 m/s?, calculate the tension Fr in the rope. Use g = 9.81 m/s? for the acceleration due to gravity.

A box of mass m = 20.0 kg is pulled up a ramp that is inclined at an angle 0 = 15.0° angle with respect to the horizontal. The coefficient of kinetic friction between the box and the ramp is 4 = 0.335, and the rope pulling the box is parallel to the ramp. If the box accelerates up the ramp at a rate of a = 2.89 m/s?, calculate the tension Fr in the rope. Use g = 9.81 m/s? for the acceleration due to gravity.

College Physics
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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A box of mass \( m = 20.0 \, \text{kg} \) is pulled up a ramp that is inclined at an angle \( \theta = 15.0^\circ \) with respect to the horizontal. The coefficient of kinetic friction between the box and the ramp is \( \mu_k = 0.335 \), and the rope pulling the box is parallel to the ramp. If the box accelerates up the ramp at a rate of \( a = 2.89 \, \text{m/s}^2 \), calculate the tension \( F_T \) in the rope. Use \( g = 9.81 \, \text{m/s}^2 \) for the acceleration due to gravity. \( F_T = \) \_\_\_\_ N **Diagram Explanation:** The diagram shows a box on an inclined ramp. The box is being pulled by a rope parallel to the ramp. The angle \( \theta \) is shown between the horizontal and the surface of the ramp. The direction of the acceleration \( \vec{a} \) is indicated by an arrow pointing up the ramp. The coefficient of kinetic friction \( \mu_k \) is also noted on the diagram.
Transcribed Image Text:A box of mass \( m = 20.0 \, \text{kg} \) is pulled up a ramp that is inclined at an angle \( \theta = 15.0^\circ \) with respect to the horizontal. The coefficient of kinetic friction between the box and the ramp is \( \mu_k = 0.335 \), and the rope pulling the box is parallel to the ramp. If the box accelerates up the ramp at a rate of \( a = 2.89 \, \text{m/s}^2 \), calculate the tension \( F_T \) in the rope. Use \( g = 9.81 \, \text{m/s}^2 \) for the acceleration due to gravity. \( F_T = \) \_\_\_\_ N **Diagram Explanation:** The diagram shows a box on an inclined ramp. The box is being pulled by a rope parallel to the ramp. The angle \( \theta \) is shown between the horizontal and the surface of the ramp. The direction of the acceleration \( \vec{a} \) is indicated by an arrow pointing up the ramp. The coefficient of kinetic friction \( \mu_k \) is also noted on the diagram.
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