### Problem 7A \(1650 \, \text{kg}\) car accelerates up a hill by applying a force of \(4.61 \times 10^3 \, \text{N}\) parallel to the hill. The hill is at an incline of \(13^\circ\).#### Diagram DescriptionThe diagram shows a car moving up a hill that has an incline of \(13^\circ\). The initial speed of the car (\(v_0\)) is \(16 \, \frac{\text{m}}{\text{s}}\).The distance (\(d\)) up the hill is \(17 \, \text{m}\).#### Questions:a. **What is the net work done on the car as it travels \(17 \, \text{m}\) up the hill?** *(Hint: calculate the work done by each force in the system. There are 3 forces. The net work is the sum of the works done by each individual force.)*b. **What is the change in kinetic energy for the car?**c. **The car is travelling at a speed of \(16 \, \frac{\text{m}}{\text{s}}\) at the bottom of the hill. How fast is it moving at the top of the hill?**### Solutions (Explanations)#### Part (a) - **Net Work Done on the Car**To calculate the net work done on the car as it travels up the hill, we need to consider the three forces acting on the car: 1. The applied force (\(F_{\text{applied}} = 4.61 \times 10^3 \, \text{N}\)).2. The gravitational force component along the hill.3. The normal force, which does no work as it is perpendicular to displacement.The net work \(W_{\text{net}}\) is given by the sum of the works done by each individual force.#### Part (b) - **Change in Kinetic Energy**The net work done on the car is equal to the change in kinetic energy (\(\Delta KE\)), according to the work-energy theorem:\[ \Delta KE = W_{\text{net}} \]#### Part (c) - **Speed at the Top of the Hill**To find the speed at the top of the hill, we use the final kinetic energy:\[ KE_{\text{

Name: ### Problem 7A \(1650 \, \text{kg}\) car accelerates up a hill by app
Uploaded: 2024-03-20T06:57:25.000Z
Channel: Bartleby
Description: ### Problem 7A \(1650 \, \text{kg}\) car accelerates up a hill by applying a force of \(4.61 \times 10^3 \, \text{N}\) parallel to the hill. The hill is at an incline of \(13^\circ\).#### Diagram DescriptionThe diagram shows a car moving up a hill t