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?

the speed of the boat <-- MY ANSWER

the inverse of the mass of the boat

the mass of the boat

the inverse of the speed of the boat

Thank you :)

Respuesta :

Answer: The inverse mass of the boat (B)

Step-by-step explanation:

The relationship between force, mass and acceleration is: [tex]F = ma[/tex]. So, the slope of the graph represents the inverse of the mass of the boat.

From the question, we understand that the graph is acceleration vs net force.

This means that, the points on the graph will be:

[tex](F_1,a_1)[/tex] and [tex](F_2,a_2)[/tex]

The slope (m) of a linear graph is:

[tex]m =\frac{y_2 - y_1}{x_2 - x_1}[/tex]

In this case, it will be:

[tex]m =\frac{a_2 - a_1}{F_2 - F_1}[/tex] ---- slope

Recall that:

[tex]F = ma[/tex]

Make mass (m) the subject

[tex]m = \frac Fa[/tex]

See attachment for further explanation

Hence, the slope of the graph represents (b) the inverse of the mass of the boat

Read more about force, mass and acceleration at:

https://brainly.com/question/1046166

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