1. You are helping your friend unload their moving truck. You are starting to get lazy, so you just set the boxes on the ramp down to the ground to let them slide down. You try to do the same with a small chair, but notice that it slides down the ramp much more slowly. Being a budding physicist, you reason that this is because the chair/ramp combination has a larger coefficient of kinetic friction than the boxes/ramp combination. The chair accelerates down the ramp at 0.72 The ramp is at an angle of 31° below the horizontal and the chair has a mass of 13 kg. Find the coefficient of friction between the chair and the ramp.

College Physics
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Chapter1: Units, Trigonometry. And Vectors
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Below are Newton’s Second Law problems. You will only be asked to:

1. **Draw a free body diagram**

2. **Set up a coordinate system.** You must correctly follow our rule to align the net acceleration for the system to be along a single axis (it cannot have an x- and a y-component).

3. **Correctly set up Newton’s Second Law (sum of the forces) in both the x- and y- direction.** Correctly use either sinθ or cosθ as appropriate.
   - As an example, \( N - mg_y = 0 \) will not earn you as many points as \( N - mg \cos \theta = 0 \).

You do not need to solve for any missing variables. I will only grade the steps outlined above.

*Pay close attention to directions.*

---

1. You are helping your friend unload their moving truck. You are starting to get lazy, so you just set the boxes on the ramp down to the ground to let them slide down. You try to do the same with a small chair, but notice that it slides down the ramp much more slowly. Being a budding physicist, you reason that this is because the chair/ramp combination has a larger coefficient of kinetic friction than the boxes/ramp combination. The chair accelerates down the ramp at \(0.72 \, \text{m/s}^2\). The ramp is at an angle of \(31^\circ\) below the horizontal and the chair has a mass of \(13 \, \text{kg}\). Find the coefficient of friction between the chair and the ramp.
Transcribed Image Text:Below are Newton’s Second Law problems. You will only be asked to: 1. **Draw a free body diagram** 2. **Set up a coordinate system.** You must correctly follow our rule to align the net acceleration for the system to be along a single axis (it cannot have an x- and a y-component). 3. **Correctly set up Newton’s Second Law (sum of the forces) in both the x- and y- direction.** Correctly use either sinθ or cosθ as appropriate. - As an example, \( N - mg_y = 0 \) will not earn you as many points as \( N - mg \cos \theta = 0 \). You do not need to solve for any missing variables. I will only grade the steps outlined above. *Pay close attention to directions.* --- 1. You are helping your friend unload their moving truck. You are starting to get lazy, so you just set the boxes on the ramp down to the ground to let them slide down. You try to do the same with a small chair, but notice that it slides down the ramp much more slowly. Being a budding physicist, you reason that this is because the chair/ramp combination has a larger coefficient of kinetic friction than the boxes/ramp combination. The chair accelerates down the ramp at \(0.72 \, \text{m/s}^2\). The ramp is at an angle of \(31^\circ\) below the horizontal and the chair has a mass of \(13 \, \text{kg}\). Find the coefficient of friction between the chair and the ramp.
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