A carmaker has designed a car that can reach a maximum acceleration of 12 meters/second². The car’s mass is 1,515 kilograms. Assuming the same engine is used, the car’s mass should be 1212 kg if the carmaker wants to reach an acceleration of 15 meters/second²
What is Newton's second law?
Newton's Second Law states that The resultant force acting on an object is proportional to the rate of change of momentum.
The mathematical expression for Newton's second law is as follows
F = m*a
where F represents the force applied
m is the mass of the object
a is the acceleration of the object
As given in the problem A carmaker has designed a car that can reach a maximum acceleration of 12 meters/second². The car’s mass is 1,515 kilograms.
The force produced by the car
F= ma
By substituting the respective values of mass and acceleration
F = 1515 ×12
F= 18180 N
As mentioned in the problem if we have to increase the acceleration to 15 meters/second² by keeping the engine the same, means the force developed by the car is the same
F= m×15
18180=15m
m = 1212 kg
Thus, the car’s mass should be 1212 kg if the carmaker wants to reach an acceleration of 15 meters/second²
Learn more about Newton's second law, here
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