Questions: It's All Uphill Interactive Background: In this Interactive, you will analyze the motion of a cart being pulled up an inclined plane at a constant speed. The angle of the incline can be modified by 10° increments between the values of 30° and 90°. Three different masses can be selected - 2.0 kg, 3.0 kg, and 4.0 kg. In each simulation, the cart is pulled to the same height -1.0 meter above the original starting position. For each simulation, the force that must be applied is reported on the screen. The displacement of the cart can be measured using the cm ruler that is displayed for each trial. Purpose: To determine the effect of the angle of an inclined plane upon the amount of force and the amount of work done when pulling a cart up an inclined plane at a constant speed and to the same height. Discussion of Procedure: Select a mass from one of the three choices. Tap the Run Trial button. The force required to pull the cart at a constant speed is displayed on the screen; record in the Data Table. The displacement from the starting position to the final position can be measured using the cm ruler; record in the Data Table. (Note that the table lists meters as the unit.) The force and the displacement vectors are both directed parallel to the inclined plane. Use the force and displacement to calculate the work done. Repeat the procedure for all angles. Data tables are provided for a single cart mass. Additional tables can be made if necessary. Data: Mass: kg Angle ( ° ) Force (N) Displacement (m) Work (J) 30.0 40.0 50.0 60.0 70.0 80.0 90.0

It's All Uphill Interactive Background: In this Interactive, you will analyze the motion of a cart being pulled up an inclined plane at a constant speed. The angle of the incline can be modified by 10° increments between the values of 30° and 90°. Three different masses can be selected - 2.0 kg, 3.0 kg, and 4.0 kg. In each simulation, the cart is pulled to the same height -1.0 meter above the original starting position. For each simulation, the force that must be applied is reported on the screen. The displacement of the cart can be measured using the cm ruler that is displayed for each trial. Purpose: To determine the effect of the angle of an inclined plane upon the amount of force and the amount of work done when pulling a cart up an inclined plane at a constant speed and to the same height. Discussion of Procedure: Select a mass from one of the three choices. Tap the Run Trial button. The force required to pull the cart at a constant speed is displayed on the screen; record in the Data Table. The displacement from the starting position to the final position can be measured using the cm ruler; record in the Data Table. (Note that the table lists meters as the unit.) The force and the displacement vectors are both directed parallel to the inclined plane. Use the force and displacement to calculate the work done. Repeat the procedure for all angles. Data tables are provided for a single cart mass. Additional tables can be made if necessary. Data: Mass: kg Angle ( ° ) Force (N) Displacement (m) Work (J) 30.0 40.0 50.0 60.0 70.0 80.0 90.0
Transcript text: It's All Uphill Interactive Background: In this Interactive, you will analyze the motion of a cart being pulted up an inclined plane at a constant speed. The angle of the incline can be modified by $10^{\circ}$ increments between the values of $30^{\circ}$ and $90^{\circ}$. Three different masses can be selected $-2.0 \mathrm{~kg}, 3.0 \mathrm{~kg}$, and 4.0 kg . In each simulation, the cart is pulled to the same height -1.0 meter above the original starting position. For each simulation, the force that must be applied is reported on the screen. The displacement of the cart can be measured using the em-ruler that is displayed for each trial. Purpose: To determine the effect of the angle of an inclined plane upon the amount of force and the amount of work done when pulling a cart up an inclined plane at a constant speed and to the same height. Discussion of Procedure: Select a mass from one of the three choices. Tap the Run Trial button. The force required to pull the cart at a constant speed is displayed on the screen; record in the Data Table. The displacement from the starting position to the final position can be measured using the cm ruler; record in the Data Table. (Note that the table lists meters as the unit.) The force and the displacement vectors are both directed parallel to the inclined plane. Use the force and displacement to calculate the work done. Repeat the procedure for all angles. Data tables are provided for a single cart mass. Additional tables can be made if necessary. Data: Mass: $\qquad$ kg \begin{tabular}{|c|c|c|c|} \hline Angle ( ${ }^{\circ}$ ) & Force (N) & Displacement (m) & Work (J) \\ \hline 30.0 & & & \\ \hline 40.0 & & & \\ \hline 50.0 & & & \\ \hline 60.0 & & & \\ \hline 70.0 & & & \\ \hline 80.0 & & & \\ \hline 90.0 & & & \\ \hline \end{tabular}
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Solution

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Solution Steps

Step 1: Understand the Problem
  • Analyze the motion of a cart being pulled up an inclined plane at a constant speed.
  • Determine the effect of the incline angle on the force and work done.
  • Use given angles and masses to conduct simulations and record data.
Step 2: Set Up the Experiment
  • Choose a mass from the options: \(2.0 \, \text{kg}\), \(3.0 \, \text{kg}\), or \(4.0 \, \text{kg}\).
  • Run trials for each angle increment: \(30^\circ\), \(40^\circ\), \(50^\circ\), \(60^\circ\), \(70^\circ\), \(80^\circ\), and \(90^\circ\).
  • Record the force required to pull the cart at constant speed and the displacement.
Step 3: Calculate Work Done
  • Use the formula for work: \( W = F \cdot d \), where \( F \) is the force and \( d \) is the displacement.
  • Ensure both force and displacement are parallel to the inclined plane.
  • Record the calculated work for each angle in the data table.

Final Answer

The final answer cannot be determined without specific values for force and displacement from the trials. Please provide the data to calculate the work done for each angle.

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