Impulse-Momentum Solver
Calculate the relationship between impact force and the change in motion. This tool uses the FΔt = mΔv formula to solve for impulse and force components.
F × Δt = m × (v_final - v_initial)
A 2 kg ball speeds up from 0 to 10 m/s in 0.5 seconds: • Δp = 2 * (10 - 0) = 20 kg·m/s. • F = 20 / 0.5 = 40 N.
What is the Impulse-Momentum Theorem?
The Impulse-Momentum Theorem states that the impulse (force × time) applied to an object is equal to the change in its momentum (mass × change in velocity).
What is the formula for change in momentum?
Δp = m(v_final - v_initial), where m is mass, v_final is final velocity, and v_initial is initial velocity.
How do I solve for force using impulse and momentum?
Using the theorem F × Δt = m × Δv, you can rearrange to find force: F = (m × Δv) / Δt.
What units are used?
In SI units: Force (Newtons), Time (seconds), Mass (kilograms), and Velocity (meters per second).
🔗 Related Calculators
📐 Formula
F × Δt = m × (v_final - v_initial)
📝 Example Calculation
A 2 kg ball speeds up from 0 to 10 m/s in 0.5 seconds: • Δp = 2 * (10 - 0) = 20 kg·m/s. • F = 20 / 0.5 = 40 N.
❓ Frequently Asked Questions
What is the Impulse-Momentum Theorem?▼
The Impulse-Momentum Theorem states that the impulse (force × time) applied to an object is equal to the change in its momentum (mass × change in velocity).
What is the formula for change in momentum?▼
Δp = m(v_final - v_initial), where m is mass, v_final is final velocity, and v_initial is initial velocity.
How do I solve for force using impulse and momentum?▼
Using the theorem F × Δt = m × Δv, you can rearrange to find force: F = (m × Δv) / Δt.
What units are used?▼
In SI units: Force (Newtons), Time (seconds), Mass (kilograms), and Velocity (meters per second).