Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

different amounts of force are applied to the same boat over several tr…

Question

different amounts of force are applied to the same boat over several trials, and the acceleration is measured. in a graph of acceleration versus net force, what does the slope of the graph represent? (1 point) the mass of the boat the inverse of the mass of the boat the speed of the boat the inverse of the speed of the boat

Explanation:

Step1: Recall Newton's second law

Newton's second law is \(F = ma\), where \(F\) is the net force, \(m\) is the mass, and \(a\) is the acceleration.

Step2: Rearrange the formula for \(a\)

We can rewrite \(F = ma\) as \(a=\frac{F}{m}\).

Step3: Compare with the equation of a line

The equation of a line is \(y = kx\). In the case of \(a=\frac{F}{m}\), if \(y=a\) (acceleration) and \(x = F\) (net force), then \(k=\frac{1}{m}\).

Answer:

the inverse of the mass of the boat