Questions: Motion Sensor A cart of mass m is pulled along a level dynamics track as shown above. A force sensor is attached to the cart with a string and used to measure the horizontal force exerted on the cart to the right. A motion sensor is used to measure the acceleration of the cart with the positive direction toward the right. Friction is not negligible. a. On the dot below, which represents the cart, draw and label the forces (not components) that act on the cart. Each force must be represented by a distinct arrow starting on, and pointing away from, the dot. A student pulls the force sensor with a constant force, and the cart accelerates. This is repeated for several trials, with a different constant force used for each trial. The data are recorded in the table below. Trial 1 2 3 4 5 Force sensor reading (N) 0.32 0.38 0.44 0.50 0.60 Acceleration (m / s^2) 0.12 0.22 0.33 0.50 0.70 b. i. On the grid below, plot data points for the acceleration of the cart as a function of the force sensor reading. Clearly scale all axes. Draw a straight line that best represents the data.

Transcript text: Motion Sensor A cart of mass $m$ is pulled along a level dynamics track as shown above. A force sensor is attached to the cart with a string and used to measure the horizontal force exerted on the cart to the right. A motion sensor is used to measure the acceleration of the cart with the positive direction toward the right. Friction is not negligible. a. On the dot below, which represents the cart, draw and label the forces (not components) that act on the cart. Each force must be represented by a distinct arrow starting on, and pointing away from, the dot. A student pulls the force sensor with a constant force, and the cart accelerates. This is repeated for several trials, with a different constant force used for each trial. The data are recorded in the table below. \begin{tabular}{|c|c|c|c|c|c|} \hline Trial & 1 & 2 & 3 & 4 & 5 \\ \hline Force sensor reading $(\mathrm{N})$ & 0.32 & 0.38 & 0.44 & 0.50 & 0.60 \\ \hline Acceleration $\left(\mathrm{m} / \mathrm{s}^{2}\right)$ & 0.12 & 0.22 & 0.33 & 0.50 & 0.70 \\ \hline \end{tabular} b. i. On the grid below, plot data points for the acceleration of the cart as a function of the force sensor reading. Clearly scale all axes. Draw a straight line that best represents the data.