Panda Interactive Solution

Question 1 of 15

1. Before you start, please read the following instructions: First, read the prompt of the problem carefully. Second, we recommend that you take your own notes as you move through the questions. Enjoy!

In order to start, click "Next" below

Question 1 of 15

Question 2 of 15

2. Select all the variables of the problem that are known

The ramp's inclination, the total mass of the wheelchair and Sean, Josie's force when pushing the wheelchair, the wheelchair's acceleration and the coefficient of kinetic friction

The ramp's inclination, the total mass of the wheelchair and Sean, and the coefficient of kinetic friction

The total mass of the wheelchair and Sean, the wheelchair's acceleration and the coefficient of kinetic friction

The ramp's inclination, the total mass of the wheelchair and Sean, the wheelchair's acceleration and the coefficient of kinetic friction

The ramp's inclination, the total mass of the wheelchair and Sean, the wheelchair's acceleration and the magnitude of the friction force

The ramp's inclination, the wheelchair's acceleration and the coefficient of kinetic friction

Question 2 of 15

Question 3 of 15

3. Can we treat Sean and the wheelchair as a single system whose mass is just the sum of Sean's mass and the wheelchair's mass?

Yes, we can do that

No, we can't do that

Question 3 of 15

Question 4 of 15

4. How many objects are in direct contact with the system formed by Sean and the wheelchair?

One object

More than three objects

Two objects

Three objects

Question 4 of 15

Question 5 of 15

5. Besides Josie and the ramp, there is no other object making a force on the system conformed by Sean and the wheelchair.

True

False

Question 5 of 15

Question 6 of 15

6. Select the force diagram for the system conformed by Sean and the wheelchair

Question 6 of 15

Question 7 of 15

7. Choose the coordinate system (in red) that you think is more appropiate for solving this problem

Question 7 of 15

Question 8 of 15

8. The angle between \( {W} \) and \( {W}_y \) in the following diagram is the same as the ramp's inclination

True

False

Question 8 of 15

Question 9 of 15

9. Once we have the force diagram, we can use the following principle or law to solve the problem:

Conservation of energy

Conservation of linear momentum

Newton's third law

Newton's second law

Question 9 of 15

Question 10 of 15

10. Take \( F_J \) to be Josie's force, \( f_r \) the friction force, \( m_s \) Sean's mass and \( m_w \) the wheelchair's mass. Using these variables, apply Newton's second law along the X axis for the system conformed by Sean and the wheelchair. Which of the following equations is equivalent to what you have written:

\( F_J - f_r - (m_w) g \sin \theta = 0 \)

\( F_J - f_r - (m_s) g \sin \theta = 0 \)

\( F_J - f_r - (m_s + m_w) g \sin \theta = 0 \)

\( F_J - f_r + (m_s + m_w) g \sin \theta = 0 \)

\( F_J - f_r - (m_s + m_w) g \sin \cos = 0 \)

\( F_J + f_r - (m_s + m_w) g \sin \theta = 0 \)

Question 10 of 15

Question 11 of 15

11. At this point, we do not need any other equations. We can just insert the numerical values given in the prompt into the equation we already found in the previous steps (Newton's second law along X).

True

False

Question 11 of 15

Question 12 of 15

12. In order to get a new equation, write Newton's second law along the Y axis. Assuming that \(N \) is the normal force, which of the following equations is equivalent to your equation:

\( N + (m_s + m_w)g \sin \theta = 0 \)

\( N - (m_s + m_w)g \sin \theta = 0 \)

\( N - (m_s + m_w)g \cos \theta = 0 \)

\( N + (m_s + m_w)g \cos \theta = 0 \)

Question 12 of 15

Question 13 of 15

13. First, do some algebra to eliminate the unknown variable \( f_r \) from the previous two equations (the equation for Newton's second law along X, and Newton's second law along Y). Then, using this, write an equation for Josie's force \( F_J \) solely in terms of known variables. Which of the following is equivalent to your equation:

\( F_J = \mu (m_w+m_s)g \cos \theta + (m_w+m_s)g \sin \theta \)

\( F_J = \mu (m_w+m_s)g \sin \theta + (m_w+m_s)g \cos \theta \)

\( F_J = -\mu (m_w+m_s)g \cos \theta + (m_w+m_s)g \sin \theta \)

\( F_J = \mu (m_w+m_s)g \cos \theta - (m_w+m_s)g \sin \theta \)

Question 13 of 15

Question 14 of 15

14. Based on the equation for \( F_J\) that you just found, which of the following claims is true:

\( F_J\) does not increase or decrease with the ramp's inclination

There is no connection between \( F_J\) and the ramp's inclination

If the ramp is steeper, \( F_J\) increases

If the ramp is steeper, \( F_J\) decreases

Question 14 of 15

Question 15 of 15

15. The final answer is \(F_J\) = Newtons

Question 15 of 15

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