# Forces acting on Body Moving in a Horizontal Plane

The force pushing - or pulling - a body along a horizontal surface can be expressed as

*Q = F cos α (1)*

*where *

*Q = force moving the body in horizontal direction (N, lb)*

*α = angle between force F and horizontal plane*

The force acting in vertical direction can be calculated as:

*P = (F ^{2} - Q^{2})^{1/2} (2)*

*where *

*P = force acting in vertical direction (N, lb)*

### Example - Strong Man Pulling a Truck

A "strong man" is pulling a truck by exerting a force of *1000 N*. The force is acting *30 ^{o}* to the horizontal plane.

The horizontal force on the truck can be calculated as

*Q = (1000 N) cos(30 ^{o}) *

* = 866 N*

* = 0.87 kN*

The vertical force "lifting" truck can be calculated as

*P = ((1000 N) ^{2} - (866 N)^{2})^{1/2 }*

* = 500 N*

* = 0.5 kN *

### Horizontal and Vertical Force Calculator

The calculator below can used to calculate the horizontal and vertical forces:

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