Classical Mechanics

Newton's Cradle

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Parameters

Number of Balls5
Balls Pulled1
Pull Angle40°
String Length5.2 m
Damping (b)e = 0.98
Kinetic E.
0.000 J
Potential E.
0.000 J
Momentum
0.000
Time
0.00 s
Energy Distribution
Kinetic E.Total E. 0.00JPotential E.
Live Equation
E=K+U=constE = K + U = \text{const}T=2πLg=4.57 sT = 2\pi\sqrt{\frac{L}{g}} = 4.57\,\text{s}

Awaiting Telemetry

Governing Dynamics

A device that demonstrates conservation of momentum and energy using a series of swinging spheres.

Conservation of Momentum
∑mivi=∑mivi′\sum m_i v_i = \sum m_i v_i'
Conservation of Energy
∑12mivi2=∑12mivi′2\sum \tfrac{1}{2}m_i v_i^2 = \sum \tfrac{1}{2}m_i {v_i'}^2

When one sphere at the end is lifted and released, it strikes the stationary spheres, transmitting a force through the stationary spheres that pushes the last sphere upward.