Projectile motion equation help

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Homework Help Overview

The problem involves projectile motion and elastic collisions, focusing on a scenario where a metal ball is released and collides with another ball at rest. The context includes parameters such as mass, string length, angle, and height, leading to a question about the distance the second ball will land after the collision.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the application of projectile motion and angular acceleration, with some suggesting the use of specific equations for range and acceleration. Questions arise regarding the determination of velocity and the steps needed to approach the problem.

Discussion Status

Several participants have offered equations and insights into the problem, while others express uncertainty about finding the necessary velocity. The discussion reflects a mix of attempts to clarify concepts and explore different approaches without reaching a consensus.

Contextual Notes

Participants note confusion regarding the initial velocity and the integration process needed to find it, indicating potential gaps in information or understanding of the problem setup.

pkossak
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This question was on my last test, and I got it wrong. If anyone could help me understand how to get the answer, I would really appreciate it!

A small metal ball with a mass of m = 91.7 g is attached to a string of length
l = 1.57 m. It is held at an angle of q = 47.5° with respect to the vertical.
The ball is then released. When the rope is vertical, the ball collides head-
on and perfectly elastically with an identical ball originally at rest. This
second ball flies off with a horizontal initial velocity from a height of h =
3.19 m, and then later it hits the ground. At what distance x will the ball
land?

I'm not even really too sure on how to approach it!
 
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you would use projectile motion on this one as well as angular acceleration.

ar = v^2 / r

the range of the projectile isd given by
R = (v062 * sin (2 theta)) / g
 
Thanks a lot for the help, but is there anything else you can tell me. What's throwing me off is that I'm not sure how to find the velocity. I feel like I'm overlooking something simple :confused:
 
first you would use the equation

a = g sin (theta)

then intergate to find vel
 
Got it, thanks so much!
 

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