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8. A toy train car rest on a vertical spring as shown if the springs unstretched length is 0.500 m and it has a spring constant of 90.0 N/m what is the mass of the toy train car?

8 A toy train car rest on a vertical spring as shown if the springs unstretched length is 0500 m and it has a spring constant of 900 Nm what is the mass of the class=

Respuesta :

We will have the following:

First, we remember that:

[tex]\begin{cases}F=ma \\ \\ F=-kx \\ \\ ma=-kx\end{cases}[/tex]

And we will then have:

[tex]m(9.8m/s^2)=-(90.0N/m)(0.350m-0.500m)\Rightarrow m=-\frac{(90.0N/m)(-0.150m)}{9.8m/s^2}[/tex][tex]\Rightarrow m=\frac{135}{98}kg\Rightarrow m\approx1.38kg[/tex]

So, the mass of the toy train car is approximately 1.38 kg.

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