Question

Jontell finds a giant spring that has a 350N/m spring constant. Jontell figures out how to compress is 1.5m. If Jontell and his spring propelled cart's mass is 85kg, how fast is he going after the push fromthe spring? PEspring1/2*k*x?^2

Answer 1

Given data

*The given mass of the propelled cart's is m = 85 kg

*The given spring constant is k = 350 N/m

*The spring compresses at a distance is x = 1.5 m

The formula for the speed is given by the conservation of energy as

`\begin{gathered} U_(p.e)=U_k \\ (1)/(2)kx^2=(1)/(2)mv^2 \\ v=\sqrt[]{(kx^2)/(m)} \end{gathered}`

Substitute the known values in the above expression as

`\begin{gathered} v=\sqrt[]{(350*(1.5)^2)/(85)} \\ =3.04\text{ m/s} \end{gathered}`