**Speed to Force Calculator:>**

Enter the values of the change in speed ΔS_{(m/s)}, time Δt_{(s)} and mass m_{(kg)} to calculate the force, F_{(N)}.

__Speed to Force Formula:__

__Speed to Force Formula:__

This calculation relates the change in speed of an object to the force applied, given its mass. It’s based on the principle of Newton’s second law of motion.

Force, F_{(N)} in Newtons is calculated by dividing the change in speed, ΔS_{(m/s)} in metre per second and change in time, Δt_{(s)} in seconds and multiplying by mass of the object, m_{(kg)} in kilograms.

Force, F_{(N)} = ( ΔS_{(m/s)} / Δt_{(s)} ) * m_{(kg)}

F_{(N)} = force in Newtons, N.

ΔS_{(m/s)} = change in speed in metre per seconds, m/s.

Δt_{(s)} = change in time in seconds, s.

m_{(kg)} = mass of the object in kilograms, kg.

__Speed to Force Calculation:__

__Speed to Force Calculation:__

- A scooter accelerates from 0 to 30 m/s in 10 seconds. If the mass of the scooter including the rider is 120 kg, calculate the force exerted to achieve this acceleration.

Given: ΔS_{(m/s)} = S_{f} – S_{i} = 30 – 0 = 30m/s, Δt_{(s)} = 10s, m_{(kg)} = 120kg.

Force, F_{(N)} = ( ΔS_{(m/s)} / Δt_{(s)} ) * m_{(kg)}

F_{(N)} = (30 / 10) * 120

F_{(N)} = 360N.

- Suppose a force of 200 N is applied to an object, causing its speed to change from 10 m/s to 40 m/s in 5 seconds. Find the mass of the object.

Given: ΔS_{(m/s)} = S_{f} – S_{i} = 40 – 10 = 30m/s, Δt_{(s)} = 5s, F_{(N)} = 200N.

Force, F_{(N)} = ( ΔS_{(m/s)} / Δt_{(s)} ) * m_{(kg)}

m_{(kg)} = F_{(N)} / ( ΔS_{(m/s)} / Δt_{(s)} )

m_{(kg)} = 200 / (30/5)

m_{(kg)} = 33.33kg.