A question regarding power and hookes law

AI Thread Summary
To determine the power required to compress a spring, the potential energy formula Pe = 1/2 kx^2 is used, where k is the spring constant and x is the compression distance. For a spring with a constant of 12 N/m compressed by 1.2 m, the potential energy calculated is 8.64 J. The power is then found by dividing the work done (8.64 J) by the time taken (2.5 s), resulting in 3.456 watts. The calculations presented appear to be correct, confirming the power requirement for the spring compression. The solution effectively demonstrates the application of Hooke's Law in calculating power.
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Homework Statement



A 2.8 m high spring has a spring constant of 12 N/m. How much power is required if the spring is compressed 1.2 m in 2.5s?

Homework Equations



Pe= 1/2kx^2

Power= W/t

The Attempt at a Solution



=1/2(12)(1.2)^2
=8.64 J

so... Power = 8.64/2.5

= 3.456 watts

is this correct? thanks in advance!
 
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