A roller coaster car starts stationary at the top of a downwards slope. At the bottom of the slope, it has a speed of 30m/s. Use the conservation of energy to find the vertical height of the slope. (Use g=10 m/s^2)

From the conservation of energy, we know that the change in gravitational potential energy (GPE) is equal to the change in kinetic energy (KE). GPE=mgh and KE=(1/2)mv^2. At the top of the slope, the car starts stationary so has KE=0 and at the bottom of the slope GPE=0. Therefore the GPE at the top equals the KE at the bottom. mgh=(1/2)mv^2. Divide both sides by the mass (m) to get gh=(1/2)v^2 and rearrange to find h, h=v^2/2g. Substitute in the numbers to find h=45m (don't forget units!)

TM
Answered by Tamsin M. Physics tutor

3102 Views

See similar Physics GCSE tutors

Related Physics GCSE answers

All answers ▸

A car accelerates (at a constant acceleration) from a velocity of 25m/s to 34m/s in 6s. Calculate the cars acceleration.


A 1000kg car accelerates from 0 to 20 m/s in 15 seconds. Calculate the acceleration of the car, the force required for this acceleration and the momentum of the car at 20 m/s.


Imagine a probe in space. Argon gas can be fired from the probes fuel tanks to propel the probe. Discuss whether conservation of momentum applies and whether the speed of the probe increases.


Define the Specific Heat Capacity of a material. What is its unit?


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences