Finding Velocity of Rolling Ball

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Homework Help Overview

The problem involves a small, solid, uniform ball that is shot from a point to roll along a path, ascend a ramp, and then leave a plateau horizontally to land at a specified distance. The context includes kinematics and energy conservation principles, with specific heights and distances provided.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the time it would take for the ball to fall from a height, the horizontal velocity needed for the specified distance, and the energy transfers involved in the motion. Some express confusion about the projectile motion equations and energy conservation principles.

Discussion Status

The discussion is ongoing, with participants exploring various aspects of the problem. Some guidance has been offered regarding the use of kinematics and energy considerations, but there is no explicit consensus on the approach to take.

Contextual Notes

Participants note the challenge of recalling specific equations related to projectile motion and energy conservation, indicating potential gaps in foundational knowledge that may affect their ability to solve the problem.

GingerBread27
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In Figure 11-36, a small, solid, uniform ball is to be shot from point P so that it rolls smoothly along a horizontal path, up along a ramp, and onto a plateau. Then it leaves the plateau horizontally to land on a game board, at a horizontal distance d from the right edge of the plateau. The vertical heights are h1 = 4.80 cm and h2 = 1.60 cm. With what speed must the ball be shot at point P for it to land at d = 5.80 cm?

Can someone give me a push in the right direction?
 

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This is a kinematics problem. How much time would it take an object to fall from h2? Now you know d, so can you find the horizontal velocity of the ball on the plateau? Now consider the energy transfers (kinetic-potential and vice versa) that occur during the ball's travel up the slope, and you should be able to find initial velocity at P.
 
Don't get it...sigh
 
use the projectile equations to figure out the velocity you would need when the ball leaves the edge so that you would get that range.

2nd consider the energy required to make it up the ramp and also have the velocity of part one

then ur done
 
I know it deals with energy conservation but I can't remember the equation to use for projectile motion.
 
AIM me at greenman100
 

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