Question

As part of a lab experiment, Allison uses an air-track cart of mass $m$ to compress a spring of constant $k$ by an amount $x$ from its equilibrium length. The air-track has negligible friction. When Allison lets go, the spring launches the cart. What cart velocity should she expect after it is launched by the spring? $\sqrt{\frac{kx}{m}}$ $\sqrt{\frac{k}{m}x}$ $\sqrt{\frac{2kx}{m}}$ $\sqrt{\frac{k}{2m}x}$

          As part of a lab experiment, Allison uses an air-track cart of mass $m$ to compress a spring of constant $k$ by an amount $x$ from its equilibrium length. The air-track has negligible friction. When Allison lets go, the spring launches the cart.
What cart velocity should she expect after it is launched by the spring?
$\sqrt{\frac{kx}{m}}$
$\sqrt{\frac{k}{m}x}$
$\sqrt{\frac{2kx}{m}}$
$\sqrt{\frac{k}{2m}x}$

As part of a lab experiment, Allison uses an air-track cart of mass m to compress a spring of constant k by an amount x from its equilibrium length. The air-track has negligible friction. When Allison lets go, the spring launches the cart.
What cart velocity should she expect after it is launched by the spring?
√((kx)/(m))
√((k)/(m)x)
√((2kx)/(m))
√((k)/(2m)x)

Added by Alexander C.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Shaiju T

03/28/2022

Step 1

Step 1: The potential energy stored in the spring is given by $U = \frac{1}{2}kx^2$. Show more…

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As part of a lab experiment, Allison uses an air-track cart of mass $m$ to compress a spring of constant $k$ by an amount $x$ from its equilibrium length. The air-track has negligible friction. When Allison lets go, the spring launches the cart. What cart velocity should she expect after it is launched by the spring? $\sqrt{\frac{kx}{m}}$ $\sqrt{\frac{k}{m}x}$ $\sqrt{\frac{2kx}{m}}$ $\sqrt{\frac{k}{2m}x}$