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6. A spring whose spring constant is 850 N/m is compressed 0.40 m. What is the maximum
speed it can give to a 0.50 kg ball?
A) Quantitative Energy Conservation Equation:
B) Determine the maximum speed.

Sagot :

Given :

A spring whose spring constant is 850 N/m is compressed 0.40 m.

To Find :

The maximum speed it can give to 0.50 kg ball.

Solution :

We know, Kinetic energy = Energy stored in spring

[tex]\dfrac{mv^2}{2}= \dfrac{kx^2}{2}\\\\v= x\sqrt{\dfrac{k}{m}}\\\\v = 0.40\times \sqrt{\dfrac{850}{0.50}}\\\\v = 16.49\ m/s[/tex]

Hence, this is the required solution.