Question

In a series of controlled experiments, students measure the different forces acting on a skateboarder as he travels down a hill. then, they calculate the skateboarder's acceleration for each of these forces. The students' data table is shown below:




Based on the observations and the calculations made by the students, what is the estimated force applied to the skateboarder if the acceleration is .9 m/s2 ?

Answer 1

The estimated force applied is 36 N.

In the controlled experiments, the forces acting on the skateboard are shown in the figure attached below.

The estimate force applied to the stake boarder if the acceleration is 0.90 m/s² can be determined by relating it to the previous force and its acceleration.

From the table, the previous force is 34 N and its acceleration is 0.85 m/s².

Now, when the acceleration becomes 0.90 m/s², the estimated force applied will be:

$\mathbf{Estimated \ force =\dfrac{34 \ N \times 0.90 \ m/s^2}{0.85 \ m/s^2} }$

Estimated force = 36 N

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