Energy Skate Park Lab

Launch a skater from any height and watch kinetic and potential energy interchange in real time. Explore energy conservation on three different tracks, then switch on friction to see how mechanical energy converts to heat.

Guided Experiment: Does Mass Affect Speed at the Bottom?

If you launch a heavier skater from the same height, do you predict it will be faster, slower, or the same speed at the bottom compared to a lighter skater?

Write your hypothesis in the Lab Report panel, then click Next.

2.6m

Controls

Track

Skater Mass

m

Friction

Energy Readout

Kinetic Energy

0 J

Potential Energy

1.5 kJ

Total Energy

1.5 kJ

Height

2.61 m

Speed

0.00 m/s

Energy vs Time

KEPETotal (constant)
0 J250 J500 J750 J1.0 kJ-5s-4s-3s-2s-1s-0sTimeEnergy

Data Table

(0 rows)
#TrialTrackMass(kg)Launch Height(m)FrictionMax Speed(m/s)Energy Lost(J)
0 / 500
0 / 500
0 / 500

Reference Guide

Conservation of Energy

In a frictionless system, total mechanical energy is constant. As the skater descends, potential energy converts to kinetic energy and vice versa.

Etotal=KE+PE=constantE_{total} = KE + PE = \text{constant}

The total energy line on the graph stays perfectly flat when friction is off, confirming conservation of mechanical energy.

Kinetic and Potential Energy

Kinetic energy depends on mass and speed. Potential energy depends on mass and height.

KE=12mv2PE=mghKE = \tfrac{1}{2}mv^2 \quad PE = mgh

Notice that mass cancels when converting between KE and PE, so the speed at the bottom is the same regardless of mass.

Friction and Heat

Friction converts mechanical energy into thermal energy. Each oscillation the skater loses a small amount of energy to heat, and the amplitude slowly decreases.

ΔEthermal=μkmgd\Delta E_{thermal} = \mu_k \, mg \, d

The total energy line slopes downward when friction is on. Increasing the friction coefficient speeds up the energy loss.

Loop-the-Loop Condition

To complete a loop of radius r, the skater must have enough speed at the top so centripetal acceleration equals gravity.

vmin=gRhmin=52Rv_{min} = \sqrt{gR} \quad h_{min} = \tfrac{5}{2}R

For the 1.5 m radius loop in this lab, the minimum launch height is 3.75 m. Launch below that and the skater cannot complete the loop.

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