Answer to Question #164250 in Physics for Monica

Question

A flying pig with a mass of 0.05 kg has elastic arms that have a combined k value of 750 N/m. If the arms are stretched by 25 cm, what speed will the pig have at the point of 0 cm stretch?

What height will the pig reach if it is launched straight up?

Answer 1

According to energy conservation:

$$\frac12 kx^2=\frac12 mv^2,\\\space\\ v=x\sqrt{\frac km}=30.6\text{ m/s}.$$

The height:

$$h=\frac{ v^2}{2g}=47.8\text{ m}.$$