A tennis ball is a hollow sphere with a thin wall. It is set rolling without slipping at 4.07 m/s on a horizontal section of a track. It rolls around the inside of a vertical circular loop 90.0 cm in diameter and finally leaves the track at a point 20.0 cm below the horizontal section.
And the question is?
Regarding the question posted by Dan earlier today, I had the same problem trying to tackle this problem. Do you have suggestions on how I can set this problem up?
Thank you!
A tennis ball is a hollow sphere with a thin wall. It is set rolling without slipping at 4.19 m/s on a horizontal section of a track. It rolls around the inside of a vertical circular loop 90.0 cm in diameter and finally leaves the track at a point 24.0 cm below the horizontal section.
tienes que sacar las energias
To solve this problem, you can use the principles of conservation of energy. Here's how you can set up the problem:
1. Identify the initial and final points: In this case, the initial point is the horizontal section of the track where the tennis ball is rolling without slipping, and the final point is where the ball leaves the track.
2. Calculate the initial kinetic energy: The initial kinetic energy of the tennis ball is given as 4.07 m/s. This can be calculated using the equation: Kinetic Energy = (1/2) * mass * velocity^2.
3. Calculate the potential energy at the highest point of the loop: At the highest point of the loop, the tennis ball reaches its maximum height. Using the principle of conservation of energy, you can equate the initial kinetic energy to the potential energy at this point. The potential energy can be calculated using the equation: Potential Energy = mass * gravity * height.
4. Calculate the final kinetic energy at the point where the ball leaves the track: At the final point where the ball leaves the track, it will have both kinetic energy and potential energy. Since it leaves the track without slipping, its velocity at this point can be calculated using the equation: Kinetic Energy = (1/2) * mass * velocity^2. The potential energy can be calculated using the same equation as step 3.
5. Set up equations and solve: Equate the initial kinetic energy to the potential energy at the highest point and equate the final kinetic energy plus the final potential energy to the sum of the initial kinetic energy and the initial potential energy. Use these two equations to solve for the mass of the tennis ball.
Remember to convert the given lengths from cm to meters and use the appropriate values for the acceleration due to gravity.