College Physics
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ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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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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