Time in Air for Ball Rolling Down a Ramp

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Homework Help Overview

The problem involves a ball rolling down a ramp and determining the time it spends in the air after leaving the ramp. The context includes parameters such as the distance from the ramp's end, the height of the ramp, and the horizontal distance to a mark on the floor.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss calculating the average velocity based on the ramp's length and time, and consider the relationship between potential energy and kinetic energy. Questions arise regarding the initial velocity and the specifics of the velocity calculation as the ball leaves the ramp.

Discussion Status

The discussion is exploring various approaches to the problem, with some participants offering insights into energy conservation and uniform acceleration. There is an ongoing inquiry into the specifics of velocity calculations and the assumptions involved.

Contextual Notes

Participants note the need for the angle of the ramp to resolve the velocity in the x direction, indicating that certain information may be missing for a complete analysis.

bwagner
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Homework Statement



A ball is placed 0.700m from the end of a declining ramp and rolls down the ramp in 0.750s. The marble is also 0.175m from the horizontal. The ball hits a mark on the floor that is 1.70m from the bottom of the ramp on the x-axis. What mount of time is the ball in the air after leaving the ramp?

Homework Equations





The Attempt at a Solution


Can't find initial velocity.
 
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Seems like a couple of approaches are available: one is to simply find the average velocity from the length of the ramp anf the time spent. Since acceleration is uniform the velocity as it leaves the ramp is twice that (initial velocity is zero).

The other is to equate potantial energy loss with kinetic energy gain while on the ramp.

In other words, mgh=1/2mv^2

From there you need to know the angle of the ramp. Then resolve the velocity in the x direction. This help?
 
The velocity,as it leaves the ramp, is twice what? The calculated velocity of distance/time?
 
Yep. The reason is that the acceleration is uniform. Otherwise this isn't true.
 

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