4. A spring with stiffness constant k = 2000 N/m attached to a platform launched a mass of 2kg vertically in the air to some maximum height (measured from the equilibrium point of the spring). The spring was compressed by 0.3 meters before launch. Due to internal friction of the spring, 10 Joules of energy was lost as the spring expanded. How fast was the mass travelling when it was at half of its maximum height? You must use g= 10m/s² for this problem or you will actually find it much more difficult to calculate.

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Chapter5: Analysis Of Convection Heat Transfer
Section: Chapter Questions
Problem 5.48P
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4. A spring with stiffness constant k = 2000 N/m attached to a platform launched a mass of 2kg
vertically in the air to some maximum height (measured from the equilibrium point of the
spring). The spring was compressed by 0.3 meters before launch.
Due to internal friction of the spring, 10 Joules of energy was lost as the spring expanded.
How fast was the mass travelling when it was at half of its maximum height?
You must use g= 10m/s? for this problem or you will actually find it much more difficult to
calculate.
Hint: First solve the problem of finding what the maximum height is and then solve the problem
of finding the speed at half of that height.
Transcribed Image Text:4. A spring with stiffness constant k = 2000 N/m attached to a platform launched a mass of 2kg vertically in the air to some maximum height (measured from the equilibrium point of the spring). The spring was compressed by 0.3 meters before launch. Due to internal friction of the spring, 10 Joules of energy was lost as the spring expanded. How fast was the mass travelling when it was at half of its maximum height? You must use g= 10m/s? for this problem or you will actually find it much more difficult to calculate. Hint: First solve the problem of finding what the maximum height is and then solve the problem of finding the speed at half of that height.
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