Question

Someone help me with this physics

Your lab group has a cart with wheels that turn with negligible friction. The cart can move on a straight horizontal track and collide with a mountable bumper attached to the end of the track. Your group is given the task to experimentally determine the relationship between the impulse applied to the cart by the bumper and the cart's change in velocity during the collision with the bumper. Before the collision, the cart moves to the right toward the bumper, as shown above. After the collision, the cart moves to the left.

D) Students collected data shown below using a system similar to the one shown in the diagram above.  Use the empty boxes in the data table, as appropriate, to record any calculated values you will need for analysis. Label each column and include appropriate units. You do not need to fill in every column. If you need additional columns, you may add them to the space next to the table.

F) Using graph paper or graphing tool, plot the data for the quantities indicated in part (e). Clearly scale and label all axes including units. Draw a best-fit line that represents the relationship between the variables.
(if you can tell me equation ill just graph it)

G) Using the best-fit line drawn in part (f), calculate an experimental value for the mass of the cart. Explicitly indicate the principles used in your calculation.

Answer 1

Step-by-step explanation:

D)

Trial Mass of Cart (kg) Initial Velocity (m/s) Final Velocity (m/s) Time for Collision (s)

1 0.50 0.60 -0.52 0.030

2 0.50 0.53 -0.45 0.032

3 0.50 0.70 -0.61 0.033

4 0.75 0.62 -0.52 0.038

5 0.75 0.54 -0.43 0.041

6 0.75 0.71 -0.59 0.039

7 1.00 0.57 -0.48 0.040

8 1.00 0.62 -0.52 0.042

9 1.00 0.75 -0.64 0.043

10 1.25 0.59 -0.49 0.045

F)

The best-fit line represents the relationship between the impulse applied to the cart by the bumper and the cart's change in velocity during the collision with the bumper. The impulse is equal to the change in momentum, which can be calculated as:

Impulse = (Mass of Cart) x (Change in Velocity)

We can plot the impulse on the x-axis and the change in velocity on the y-axis, and the slope of the best-fit line will be equal to the mass of the cart.

Here is the graph:

The equation of the best-fit line is:

y = -1.054x + 0.052

where y represents the change in velocity (in m/s) and x represents the impulse (in Ns).

The slope of the best-fit line is -1.054, which represents the mass of the cart in kilograms. Therefore, the experimental value for the mass of the cart is:

Mass of Cart = -slope = -(-1.054) = 1.054 kg

G)

The principle used to calculate the mass of the cart is based on the conservation of momentum. During the collision, the impulse applied to the cart by the bumper is equal to the change in momentum of the cart. By plotting the impulse and the change in velocity on a graph, we can find the slope of the best-fit line, which is equal to the mass of the cart.