- #1

JudgeA

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**1. Homework Statement**

In a theme park ride, a cage containing passengers falls freely a distance of 30 m from A to B and travels in a circular arc of radius 20 m from B to C. Assume that friction is negligible between A and C. Brakes are applied at C after which the cage with its passengers travels 60 m along an upward sloping ramp and comes to rest at D. The track, together with relevant distances, is shown in the diagram. CD makes an angle of 20° with thehorizontal.

(iv) Calculate the average resistive force exerted by the brakes between C and D.

From previous questions I know

Velocity at C = 31.3 m/s²

I know the cage and passengers traveling between C and D has a mass of 620kg

I know the cage gained 1.25*10⁵J of gravitational potential energy between C and D

## Homework Equations

v²=u²+2as

F=ma

## The Attempt at a Solution

I used v²=u²+2as to find an acceleration of 8 m/s² but didn't know how to proceed from there. If anyone could point me in the right direction that would be very helpful thanks.