Newton's Second Law (F = ma)
The standard mathematical equation that expresses the relationship between net force, mass, and acceleration for a macroscopic object.
What is F = ma?
The equation used to quantify the linear momentum of a body.
What is p = mv?
The standard numerical magnitude and SI units for free-fall acceleration near Earth's surface when drag forces are neglected.
What is 9.8 m/s² (or 9.8 m/s/s)?
The physical quantity equal to the product of average net force and interaction time interval (F * Δt), which causes a change in linear momentum.
What is impulse (Δp)?
The mathematical relationship that describes how gravitational force diminishes as radial separation distance increases.
What is an inverse-square relationship (F_g ∝ 1/r²)?
The resulting horizontal acceleration when a 20 N net force is applied to a 5 kg object on a frictionless track.
What is 4 m/s²?
The total linear momentum of an 1800 kg vehicle traveling down a straight highway at a velocity of +15 m/s.
What is +27,000 kg·m/s?
The two macroscopic variables that dictate the magnitude of mutual gravitational force between two bodies.
What are mass (m_1, m_2) and separation distance (r)?
The average impact force experienced by a 0.050 kg capsule hitting the floor at -12 m/s and coming to rest in 0.0050 s.
What is +120 N?
The new gravitational force factor when Mass 1 is doubled, Mass 2 is quadrupled, and the radial distance between them is doubled.
What is double the initial force (2×)?
The net horizontal force acting on a box moving across a frictionless floor at a constant velocity of 12 m/s.
What is 0 N?
The total initial momentum of a two-body system where Truck 1 (1200 kg) moves right at +15 m/s and Truck 2 (800 kg) moves left at -10 m/s.
What is +10,000 kg·m/s (or 10,000 kg·m/s to the right)?
The net horizontal force acting on a box moving across a frictionless floor at a constant velocity of 12 m/s.
What is 0 N?
The primary mechanical variable that engineered crumple zones or parachutes maximize to reduce impact forces during deceleration.
What is collision time (Δt)?
The mathematical relationship between net force and mass when acceleration is held constant across systems.
What is directly proportional (F ∝ m)?
The acceleration of a sled initially accelerating at 2 m/s² if the net applied force is tripled and its total mass is doubled.
What is 3 m/s²?
The fundamental law stating that the total momentum of a system remains constant before and after a collision when no external net force acts on it.
What is the Law of Conservation of Momentum?
The acceleration of a sled initially accelerating at 2 m/s² if the net applied force is tripled and its total mass is doubled.
What is 3 m/s²?
The total impulse delivered during a collision whose Force vs. Time profile forms a triangle with a duration of 0.10 s and a peak force of 500 N.
What is +25 N·s (or +25 kg·m/s)?
The factor by which mutual gravitational force increases if the radial distance between two celestial bodies is compressed to one-third (1/3 r) of its original value.
What is a ninefold increase (9×)?
The acceleration of a 0.500 kg cart subjected to a 22 N rightward applied force while encountering 3 N of total friction resistance.
What is 38 m/s² to the right?
The final velocity of two entangled athletes who stick together after impact, given Athlete 1 (80 kg) moves at +6 m/s and Athlete 2 (110 kg) moves at -3 m/s.
What is +0.79 m/s (or 0.79 m/s to the right)?
The acceleration of a 0.500 kg cart subjected to a 22 N rightward applied force while encountering 3 N of total friction resistance.
What is 38 m/s² to the right?
The net upward accelerating force required to elevate a 600 kg elevator cab carrying a 400 kg payload upward at an acceleration of 2.5 m/s².
What is 2500 N?
The physical derivation explaining why objects of different mass fall with identical acceleration in a vacuum.
What is because gravitational force scales directly with mass (F_g = mg), causing mass to cancel in Newton's Second Law (a = F_g / m = mg / m = g)?