# What force will a car hit a tree If the car has a mass of 3000kg and is accelerating at a rate of 2m/s2?

Oct 12, 2014

According to Newton's second law of motion, the acceleration of a body is directly proportional to the force acting on the body and inversely proportional to its mass. The formula for this law is $a$ = $\frac{\text{F}}{m}$, from which we get the formula $\text{F}$ = $m a$. When mass is in kg and acceleration is in $\text{m/s/s}$ or ${\text{m/s}}^{2}$, the unit of force is ${\text{kgm/s}}^{2}$, which is read as kiligram-meter per second squared. This unit is replaced with an N in honor of Isaac Newton. Your problem can be solved as follows:

Known/Unknown:
$m$ = $\text{3000kg}$
$a$ = ${\text{2m/s}}^{2}$

Equation:
$\text{F}$ = $m a$

Solution:
$\text{F}$ = $m a$ = $\text{3000kg}$ x ${\text{2m/s}}^{2}$ = ${\text{6000kgm/s}}^{2}$ = $\text{6000N}$