- #1

NihalRi

- 134

- 12

## Homework Statement

The loop-the-loop machine has radius R of 18m

(a) What is the minimum speed at which a cart must travel so that it will safety loop the loop

(b) what will the speed at the top be in this case

## Homework Equations

Centipetal force = m*v^2/r

Kinetic and potential energies = (1/2) m*v^2 and mgh respectively

## The Attempt at a Solution

(a) equating weight and centripetal force and then solving for v I got an answer for velocity of 13.2 but the actual answer is 30

(b) based on (a) calculate the velocity using energy equations

(1/2)m×v^2 = mgh + (1/2) m×v^2