Contact Force Calculator:
Enter the values of normal force, N(N) and frictional force, F(N) to determine the value of contact force, Fc(N).
Contact Force Formula:
The contact force, Fc(N) formula calculates the resultant force exerted at the point of contact between two objects.
Contact force, Fc(N) in Newton is equated by the square root of difference of square of normal force, F(N) in Newton and frictional force, F(N) in Newton.
Contact force, Fc(N) = √( N2(N) + F2(N)
Fc(N) = contact force in Newton, N.
N(N) = normal force in Newton, N.
F(N) = frictional force in Newton, N.
Contact Force Calculation:
- Suppose an object is resting on a flat surface with a normal force of 100 N acting on it. If the frictional force between the object and the surface is 30 N, find the total contact force.
Given: N(N) = 100N, F(N) = 30N.
Contact force, Fc(N) = √( N2(N) + F2(N)
Fc(N) = √(1002 + 302)
Fc(N) = √(10000 + 900)
Fc(N) = √(10900)
Fc(N) = 104.4N.
- Suppose we know the contact force is 150 N and the frictional force is 60 N.
Given: Fc(N) = 150N, F(N) = 60N.
Contact force, Fc(N) = √( N2(N) + F2(N))
N(N) = √( F2c(N) – F2(N))
N(N) = √(1502 – 602)
N(N) = √(22500 – 3600)
N(N) = √18900
N(N) = 137.48N.