A Novelty Clock Has A
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A novelty clock has a 0.0150 kg mass object bouncing on a spring that has a force constant of ane.20 Due north/m. (a) What is the maximum velocity of the object in m/s if the object bounces iii.25 cm in a higher place and below its equilibrium position? (Enter the magnitude.) m/s (b) How many joules of kinetic energy does the object accept at its maximum velocity?
Related Question
A novelty clock has a 0.0100 -kg mass object bouncing on a spring that has a forcefulness constant of i.25 $\mathrm{North} / \mathrm{chiliad} .$ What is the maximum velocity of the object if the object bounces iii.00 $\mathrm{cm}$ higher up and below its equilibrium position? (b) How many joules of kinetic energy does the object have at its maximum velocity?
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Video Transcript
here we can equate the of ah maxim kinetic energy 1/two exist max squared, equaling to the potential energy of a spring. And so we're just using for office of the conservation of mechanical energy. And then nosotros can say that the maximum velocity isn't gonna be equaling Ten multiplied by the leap. Abiding divided by the square root of the bound. Abiding divided by the mass. And and so this would exist equal in point 300 meters multiplied by the foursquare root of 1.25 newtons per meter. This would be divided by 0.100 kilograms and nosotros notice a maximum velocity equaling point 335 meters per second. This would be our maximum velocity. Four part, eh, 4 part B. They want a maximum potential free energy and this would exist equaling the potential energy of a spring at its amplitude or its maximum displacement. So this would be 1/2 K ten squared, so this would be 1/2 times the spring constant, which we know to be 1.25 Newtons per meter and then this would be multiplied past its maximum deportation of 0.3 meters quantity squared. And so we find that our maximum potential energy would then exist equaling v.63 times ten to the negative fourth. Jules, this would be our final answer for part B. That is the end of the solution. Thank you for one.
A Novelty Clock Has A,
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