Science

vphysics

Energy, momentum, collisions, forces and waves, as closed form formulas.

Released v1.0.0 · 2026-09-28

Import

use "stdlib/physics.ven"

vphysics.ven

print kinetic_energy(2.0, 3.0)
:: 9.0

Reference (11 functions)

kinetic_energy
potential_energy
momentum
elastic_collision_velocities
projectile_range
projectile_trajectory
coulomb_force
gravitational_force
wave_speed
doppler_shift
physical_constant

API reference

`kinetic_energy(mass, velocity)`

Computes the classical kinetic energy of a moving mass.

kinetic_energy(2.0, 3.0)
:: 9.0

`potential_energy(mass, height, gravity)`

Computes gravitational potential energy near a surface.

potential_energy(10.0, 5.0, 9.8)
:: 490.0

`momentum(mass, velocity)`

Computes classical linear momentum.

momentum(2.0, 3.0)
:: 6.0

`elastic_collision_velocities(m1, v1, m2, v2)`

elastic_collision_velocities(1.0, 2.0, 1.0, -2.0)
:: (-2.0, 2.0)

`projectile_range(initial_speed, angle_radians, gravity)`

Computes the horizontal range of ideal projectile motion.

projectile_range(10.0, 0.7853981633974483, 9.8)
:: 10.204081632653061

`projectile_trajectory(initial_speed, angle_radians, gravity, steps)`

Samples the parabolic path of ideal projectile motion.

projectile_trajectory(10.0, 0.7853981633974483, 9.8, 2)
:: [(0.0, 0.0), (5.1020408163265305, 2.5510204081632644), (10.204081632653061, -1.7763568394002505e-15)]

`coulomb_force(q1, q2, distance)`

Computes the electrostatic force between two point charges.

coulomb_force(1.0, 1.0, 1.0)
:: 8987551792.3

`gravitational_force(m1, m2, distance)`

Computes the gravitational force of attraction between two masses.

gravitational_force(5.0, 5.0, 1.0)
:: 1.6685e-09

`wave_speed(frequency, wavelength)`

Computes a wave's propagation speed from its frequency and wavelength.

wave_speed(340.0, 0.5)
:: 170.0

`doppler_shift(source_frequency, source_speed, observer_speed, wave_speed_value)`

Computes the observed frequency of a wave under the acoustic Doppler effect.

doppler_shift(440.0, 10.0, 0.0, 340.0)
:: 453.3333333333333

`physical_constant(name)`

Looks up a named fundamental physical constant.

physical_constant("speed_of_light")
:: 299792458.0

API reference

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