__Damping Force Calculator:__

Enter the values of the damping coefficient, c_{(kg/s)}, and the velocity of the object, v_{(m/s)}, to determine the value of the damping force, F_{(N)}.

__Damping Force Formula:__

Damping force is a force that opposes the motion of an object and is proportional to the velocity of the object. The negative sign indicates that the damping force acts in the opposite direction to the velocity, thus slowing down the motion.

Damping force, F_{(N)} in Newtons, is calculated by the product of the damping coefficient, c_{(kg/s)} in kilograms per second, and the velocity of the object, v_{(m/s)} in metres per second.

Damping force, F_{(N)} = -c_{(kg/s)} * v_{(m/s)}

F_{(N)} = damping force in Newton, N.

c_{(kg/s)} = damping coefficient in kilogram per second, kg/s.

v_{( )} = velocity of the object in metre per second, m/s.

__Damping Force Calculation:__

1. A shock absorber in a car’s suspension system has a damping coefficient of 400 kg/s. If the relative velocity between the suspension and the chassis is 0.5 m/s, calculate the damping force exerted by the shock absorber.

Given: c_{(kg/s)} =400kg/s, v_{(m/s)} = 0.5m/s

Damping force, F_{(N)} = -c_{(kg/s)} * v_{(m/s)}

F_{(N)} = -400 * 0.5

F_{(N)} = -200N.

2. A shock absorber applies a damping force of -150 N to slow down a moving part. The damping coefficient of the shock absorber is 75 kg/s. Calculate the velocity of the moving part.

Given: c_{(kg/s)} = 75kg/s, F_{(N)} = -150N.

Damping force, F_{(N)} = -c_{(kg/s)} * v_{(m/s)}

v_{(m/s)} = F_{(N)} / -c_{(kg/s)}

v_{(m/s)} = (-150) / (-75)

v_{(m/s)} = 2m/s.