S I A student skates up a ramp that makes an angle 30 with

Last updated: 6/9/2023

S I A student skates up a ramp that makes an angle 30 with the horizontal He she starts as show figure at the bottom of the ramp with speed vo and wants to turn around over a semicircular path radius R during which he she reaches a maximum height h at point y from the ground as shown figure Assume that the energy loss is negligible and the force required for this turn at the highes is provided by his her weight only Then g is the acceleration due to gravity A v 2gh gR 3 B v 2gh gR 2 C the centripetal force required at points x and z is zero D the centripetal force required is maximum at points x and z A D Speed at x and z is equal and also maximum in circular track From Energy conservation 1 2 1 mv mgh mv 2 1 2 at y mgsin30 v 2g 2 mv R From equation 1 30 Rg 2 v 2gh R x