First of all we state the formula
Power=work done/time
we can rearrange this formula as well
work done=power x time
Since the SI unit of time is in seconds we change the minutes to seconds
2mins= 60x2 = 120 seconds
Using our formula (work done=power x time) we simply put in the values
work done = 4500 x 120
work done = 540,000J
When the spring is extended by 44.5 cm - 34.0 cm = 10.5 cm = 0.105 m, it exerts a restoring force with magnitude R such that the net force on the mass is
∑ F = R - mg = 0
where mg = weight of the mass = (7.00 kg) g = 68.6 N.
It follows that R = 68.6 N, and by Hooke's law, the spring constant is k such that
k (0.105 m) = 68.6 N ⇒ k = (68.6 N) / (0.105 m) ≈ 653 N/m
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