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?

1 Answer
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 = "F"/m, from which we get the formula "F" = ma. When mass is in kg and acceleration is in "m/s/s" or "m/s"^2, the unit of force is "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 = "3000kg"
a = "2m/s"^2

Equation:
"F" = ma

Solution:
"F" = ma = "3000kg" x "2m/s"^2 = "6000kgm/s"^2 = "6000N"