Speed to Force Calculator, Formula, Speed to Force Calculation

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:

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:

1. 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.

2. 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.

Calculating Speed | Forces & Motion | Physics |