A-particle-slides-down-a-frictionless-parabolic-y-x-2-track-A-B-C-starting-from-rest-at-point-A-Point-B-is-at-the-vertex-of-parabola-and-point-C-is-at-a-height-less-than-that-of-point-A-A

FacebookTweetPin

Question Number 21249 by Tinkutara last updated on 17/Sep/17

$$\mathrm{A}\mathrm{particle}\mathrm{slides}\mathrm{down}\mathrm{a}\mathrm{frictionless}$$$$\mathrm{parabolic}(y=x^2)\mathrm{track}(A-B-C)$$$$\mathrm{starting}\mathrm{from}\mathrm{rest}\mathrm{at}\mathrm{point}A.\mathrm{Point}B$$$$\mathrm{is}\mathrm{at}\mathrm{the}\mathrm{vertex}\mathrm{of}\mathrm{parabola}\mathrm{and}\mathrm{point}C$$$$\mathrm{is}\mathrm{at}\mathrm{a}\mathrm{height}\mathrm{less}\mathrm{than}\mathrm{that}\mathrm{of}\mathrm{point}A.$$$$\mathrm{After}C,\mathrm{the}\mathrm{particle}\mathrm{moves}\mathrm{freely}\mathrm{in}\mathrm{air}$$$$\mathrm{as}\mathrm{a}\mathrm{projectile}.\mathrm{If}\mathrm{the}\mathrm{particle}\mathrm{reaches}$$$$\mathrm{highest}\mathrm{point}\mathrm{at}P,\mathrm{then}$$$$\left(a\right)\mathrm{KE}\mathrm{at}P=\mathrm{KE}\mathrm{at}B$$$$\left(b\right)\mathrm{height}\mathrm{at}P=\mathrm{height}\mathrm{at}A$$$$\left(c\right)\mathrm{total}\mathrm{energy}\mathrm{at}P=\mathrm{total}\mathrm{energy}\mathrm{at}$$$$A$$$$\left(d\right)\mathrm{time}\mathrm{of}\mathrm{travel}\mathrm{from}A\mathrm{to}B=\mathrm{time}\mathrm{of}$$$$\mathrm{travel}\mathrm{from}B\mathrm{to}P.$$

Commented by Tinkutara last updated on 17/Sep/17

Terms of Service
Privacy Policy
Contact: info@tinkutara.com

FacebookTweetPin