### Ball on Incline Dynamics#### Problem:A 10 kg ball is projected up a 10° incline with a speed of 20 m/s.1. **Free-Body Diagram** - Draw the free-body diagram as the ball moves along the incline. 2. **Maximum Distance Calculation** - Determine the maximum distance that the package will move up the incline assuming the coefficient of kinetic friction is 0.1. 3. **Velocity Calculation** - Determine the velocity of the package as it returns to its original position. 4. **Kinetic Energy Loss** - Calculate the loss in kinetic energy (KE) as it returns to its original position.#### Explanation:- **Free-Body Diagram**: Illustrate and label all forces acting on the ball as it moves up the incline. Typically, this includes weight (mg), normal force (N), applied force (if any), and friction (f). - **Weight (mg)**: Acts vertically downward. - **Normal Force (N)**: Perpendicular to the surface of the incline. - **Friction Force (f = μN)**: Opposes the motion of the ball, where μ is the coefficient of kinetic friction. - **Component of Weight along Incline (mg sin θ)**: Acts down the incline. - **Component of Weight perpendicular to Incline (mg cos θ)**: Acts into the incline.- **Maximum Distance Calculation**: - Use energy principles or kinematic equations to determine how far the ball travels along the incline before stopping, considering frictional forces.- **Velocity Calculation**: - After determining the maximum height, assess the velocity of the ball as it returns to the original position.- **Kinetic Energy Loss**: - Calculate initial kinetic energy \((KE_i = \frac{1}{2}mv^2)\) and compare it to the final kinetic energy (after considering work done against friction).These steps provide a comprehensive analysis of the ball's movement on the incline, considering all forces and energy principles involved.

Name: ### Ball on Incline Dynamics#### Problem:A 10 kg ball is projected up
Uploaded: 2024-03-20T06:57:57.000Z
Channel: Bartleby
Description: ### Ball on Incline Dynamics#### Problem:A 10 kg ball is projected up a 10° incline with a speed of 20 m/s.1. **Free-Body Diagram** - Draw the free-body diagram as the ball moves along the incline. 2. **Maximum Distance Calculation** - Determi