rvanveshana.com
t = 0.00s
12.5 m/s
ENERGY MONITOR
PE
0J
KE
78J
Total
78J

Live Telemetry & Summary

Observe the live values changing in real-time as the simulation runs. Tweak parameters and press **Simulate** to see new calculations.

Speed (v):12.52 m/s
Potential Energy (PE):0 J
Kinetic Energy (KE):78 J
Total Energy (TE):78 J

Variable Adjuster

Initial Height (h₀)8m
210
Ball Mass (m)1kg
0.55

Energy Rollercoaster Lab

ENER

Conservation of mechanical energy states that the sum of kinetic (motion) energy and potential (position) energy remains constant in an isolated, conservative system.

Etotal=12mv2+mghE_{total} = \frac{1}{2}mv^2 + mgh

Whiteboard Solver Steps

Step 1

Total Mechanical Energy (Conservative)

At the starting peak, kinetic energy is zero (v=0v = 0), so the total mechanical energy is entirely gravitational potential energy.

Etotal=PEmax=mghinitial=78.4 JE_{total} = PE_{max} = mgh_{initial} = 78.4 \text{ J}
Step 2

Energy Inter-conversion

As the object slides down the curve, potential energy decreases and converts into kinetic energy. When climbing back up, the reverse happens, but total energy remains constant.

Etotal=KE(x)+PE(x)=12mv2+mgh(x)E_{total} = KE(x) + PE(x) = \frac{1}{2}mv^2 + mgh(x)