Force

Force Units and Quantities

The key quantities of force calculations are shown in Table 1. The unit of the force is newton, which is made up of the units kilogram times meter divided by second to the power of two, [kgm/s2]. The s2 in the denominator is the second to power of two, that can be written also s2 = s × s. The power (potency) tells how many times is multiplied by itself. The unit of mass is kilogram [kg]. Kilo is thousand so one kilogram is thousand grams. The acceleration has unit meters divined by second to power of two, [m/s2]. With unit newton prefix kilo is widely used, one kilonewton is thousand newtons.   Picture Pixabay.

Formulas

The formula (1) is the Newton’s 2nd law, very important law with the force calculus. F = ma                   (1) The law states that the total force is equal to mass times acceleration. The total force is sum of all forces. If there is force of 10 N to right and there is force 10 N to left then the total force is zero. The Newton’s 1st law is special case of this 2nd law. If the acceleration is zero, the total force must be zero too. In Formula (2) there is the Newton’s 2nd law for the gravitational force. G = mg                  (2) In the formula (2) g is the gravitational acceleration that is on Earth on average of 9,81 m/s2 and G is the gravitational force. F is general symbol for forces but for the gravitational force the symbol G or mg is customary to use. The weighting scales measures the gravitational force. With the gravitational acceleration the force can be altered into kilograms that the scales can give as the result of the measurement.  

Example 1.

Here are examples about exercises with force calculus.