Physics Help Forum A ball rolling up a parabolic ramp

 May 12th 2016, 12:45 AM #1 Junior Member   Join Date: May 2016 Posts: 3 A ball rolling up a parabolic ramp Hi guys! I'm Alan and I'm new here. I hope that we will discuss physics problem solving and concepts freely. Today I need some help with this problem: Assume there is gravity and no external force acting on the system. A ball has an initial velocity of 5 m/s and climbs up a parabolic ramp, which is defined by y=(x^2)/3. If the ball rolls exactly along the path of ramp and energy of the ball is conserved, starting from (0,0), calculate the time taken for the ball to climb to a height of y=1. I solved it using differential equations but the differential I got is only numerical integratable (results given by wolfram alpha). I'm looking for an easier way to solve this problem. (Actually I'm a highschool student but I think this question should be posted here as it is not a question from my highschool material - I made it up.) So, guys, please help! Thanks! Last edited by errwrsysalan; May 12th 2016 at 03:16 AM.
 May 12th 2016, 02:24 AM #2 Senior Member   Join Date: Apr 2015 Location: Somerset, England Posts: 547 If there is no friction the ball will not roll.
May 12th 2016, 03:17 AM   #3
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Join Date: May 2016
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 Originally Posted by studiot If there is no friction the ball will not roll.
Thanks! Found my mistake. Changed it.