How Do You Calculate the Bounce Distance R(H, h) for a Marble?

• USAfightr
In summary: Therefore, the equation for R(H,h) can be obtained by using the horizontal component of the velocity and the time of flight from the bounce plate to the ground.In summary, the problem involves finding an equation for the distance a marble bounces, R, in terms of the initial height H + h and the height of the metal plate, h. This can be done by using the equation for position and finding the time of flight from the bounce plate to the ground, which will then be used to determine the horizontal displacement.
USAfightr

Homework Statement

A marble has been dropped from a given height H + h. There is a metal plate directly below the marble at height h. The marble drops and hits the plate which is at 45 degrees and lands a distance away, R. Find an equation for R(H,h), that is finding the distance the marble bounces in terms of the two heights.

Homework Equations

Position = Vx + Vot - 1/2gt^2

The Attempt at a Solution

I found that the time it takes to hit the bounce plate is sqrt(2H/g). Making the velocity at the bounce plate g*sqrt(2H/g).

I am having trouble finding the time of flight it takes from the bounce plate to the ground and then how to go about taking that and getting an equation for R(H,h).

USAfightr said:
I am having trouble finding the time of flight it takes from the bounce plate to the ground and then how to go about taking that and getting an equation for R(H,h).

The time of flight to the ground is determined by the vertical component of the velocity. The horizontal displacement will then be given by the horizontal component of the velocity and the time.

1. What is a Bounce Plate with Marble?

A Bounce Plate with Marble is a scientific device used to demonstrate the principles of potential and kinetic energy. It consists of a flat plate with a curved edge and a marble placed on top of the plate.

2. How does a Bounce Plate with Marble work?

When the marble is placed on the curved edge of the plate, it has potential energy due to its position above the ground. As the plate is tilted, the marble rolls down the curved edge and gains kinetic energy. When it reaches the flat surface of the plate, it bounces off due to the conservation of energy.

3. What are the factors that affect the bouncing of the marble?

The factors that affect the bouncing of the marble include the height of the curved edge, the angle at which the plate is tilted, the surface of the plate, and the weight and size of the marble.

4. How is a Bounce Plate with Marble used for educational purposes?

Bounce Plate with Marble is used in educational settings to teach students about potential and kinetic energy, the conservation of energy, and the effects of different variables on the bouncing of the marble. It is a fun and interactive way to demonstrate these scientific principles.

5. Can a Bounce Plate with Marble be used for other experiments?

Yes, a Bounce Plate with Marble can be used for various experiments related to energy and motion. It can be used to study the effects of gravity, friction, and different materials on the bouncing of the marble. It can also be used to explore the concepts of force and acceleration.

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