Momentum to Force Calculator, Formula, M to F Calculation

Momentum to Force Calculator

Enter the values of the final momentum, Mf_(kg·m/s), initial momentum, Mi_(kg·m/s) and time interval, Δt(s), to determine the value of force, F_(N).

Momentum to Force Formula

The conversion from momentum to force involves calculating the rate of change of momentum over time, which reflects the force applied.

Force, F_(N) in Newtons, is calculated by taking the absolute value of the change in momentum, (M_f(kg.m/s) – M_i(kg.m/s)) in kilogram-metre per second and dividing it by the change in time, ∆t_(s) in seconds.

Force, F_(N) = (M_f(kg.m/s) – M_i(kg.m/s)) / ∆t_(s)

F_(N) = force in Newtons, N.

M_i(kg.m/s) =  initial momentum in kilograms metres per seconds, kg.m/s.

M_f(kg.m/s) = final momentum in kilograms metres per seconds, kg.m/s.

∆t_(s) = time in seconds, s.

Momentum to Force Calculation:

1. A hockey puck on ice accelerates from a standstill to a momentum of 30 kg.m/s in 2 seconds. Calculate the average force exerted.

Given: M_f(kg.m/s)  = 30 kg.m/s, M_i(kg.m/s)  = 0 kg.m/s, ∆t_(s)  = 2 s.

Force, F_(N) = (M_f(kg.m/s) – M_i(kg.m/s)) / ∆t_(s)

F_(N) = (30 – 0) / 2

F_(N) = 15N.

2. Suppose a force of 20 N is applied which changes an object’s momentum from 50 kg.m/s to 100 kg.m/s. Calculate the time interval over which the force was applied.

Given: M_f(kg.m/s)  = 100 kg.m/s, M_i(kg.m/s)  = 50 kg.m/s, F_(N) = 20N.

Force, F_(N) = (M_f(kg.m/s) – M_i(kg.m/s)) / ∆t_(s)

∆t_(s) = (M_f(kg.m/s) – M_i(kg.m/s)) / F_(N)

∆t_(s) = (100 – 50) / 20

∆t_(s) = 2.5s.

Calculating the Force of a Falling Object | Momentum, Energy, Force Problem