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.