**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:__

- 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.

- 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.