Projectile motion equation help

AI Thread Summary
The discussion revolves around solving a projectile motion problem involving a small metal ball attached to a string. The ball is released from an angle and collides elastically with a second ball at rest, which then travels horizontally from a height. Participants emphasize the importance of using projectile motion equations, particularly the range formula and angular acceleration concepts. There is confusion about determining the initial velocity of the first ball, with suggestions to use gravitational acceleration and integration to find it. Clarifications on these calculations help participants better understand the problem-solving approach.
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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