Question

5 according to newtons second law, if a person is pushing a car with a certain force and he or she doubles that force, what happens to the acceleration of the car? a it becomes one fourth of the original force. b it doubles. c it stays the same. d it decreases by half.

Explanation:

Step1: Recall Newton's second law

Newton's second law is \(F = ma\), where \(F\) is force, \(m\) is mass, and \(a\) is acceleration. We can solve for \(a\) to get \(a=\frac{F}{m}\).

Step2: Analyze the effect of doubling the force

Let the initial force be \(F_1\) and the initial acceleration be \(a_1=\frac{F_1}{m}\). When the force is doubled (\(F_2 = 2F_1\)), the new acceleration \(a_2=\frac{F_2}{m}=\frac{2F_1}{m}\). Since \(a_1=\frac{F_1}{m}\), then \(a_2 = 2a_1\).

Answer:

B. It doubles.