This problem asks about how the acceleration of car could be increased from 8.40 mi/h·s depending on changes to the net force applied and the car's mass.
Anytime we have a problem asking about force, mass, and acceleration (and only those quantities), we'll use Newton's 2nd Law, often written as
For some problems, we'll want it in a different form, solved for a:
Notice that acceleration is directly proportional to net force and inversely proportional to mass.
A young woman buys an inexpensive used car for stock car racing. It can attain highway speed with an acceleration of 8.40 mi/(h·s). By making changes to its engine, she can increase the net horizontal force on the car by 24.0%. With much less expense, she can remove material from the body of the car to decrease its mass by 24.0%.
(a) Which of these two changes, if either, will result in the greater increase in the car’s acceleration?
(b) If she makes both changes, what acceleration can she attain?
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What scientific concept do you need to know in order to solve this problem?
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