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A 0.400kg ball is dropped from a height of 3.00m onto a spring with a spring constant of 600.N/m. How much does the spring compress if the ball comes to a stop.0.313m0.098m0.0392m0.198m

Sagot :

Given data

*The given mass of the ball is m = 0.400 kg

*The given height is h = 3.00 m

*The given spring constant is k = 600.0 N/m

*The value for the acceleration due to the gravity is

[tex]g=9.8\text{ m/s\textasciicircum{}2}[/tex]

The expression for the spring compresses at a distance is given by the conservation of energy as

[tex]\begin{gathered} U_s=U_p \\ \text{mgh}=\frac{1}{2}kx^2 \\ x=\sqrt[]{\frac{2mgh}{k}} \end{gathered}[/tex]

Substitute the values in the above expression as

[tex]\begin{gathered} x=\sqrt[]{\frac{2\times0.400\times9.8\times3.00}{600.0}} \\ =0.198\text{ m} \end{gathered}[/tex]

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