Forces on a Spring: Calculate Force and Energy

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To determine the force exerted by a spring with a spring constant of 150 N/m compressed by 2 cm, Hooke's Law (F = kx) is applied, yielding a force of 3 N. The potential energy stored in the spring can be calculated using the formula PE = 1/2 kx², resulting in 0.45 J. For a 100g mass oscillating on the spring, the frequency period can be calculated using the formula T = 2π√(m/k), where m is the mass in kg and k is the spring constant. The user expresses confusion over the correct application of formulas for both the potential energy and the oscillation period, particularly with the angular frequency (ω). Clarification on these calculations is sought, emphasizing the need for accurate formula application to resolve discrepancies in results.
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Hi,

Ok so here's my problem...

A force F causes a spring with spring constant of 150N/m to compress by 2 cm. Determine the force exerted by and the potential energy of the spring (obv. p=mgh) before and after compression.

Determine the frequency period of the oscillation of a 100g mass oscillating on the spring.

So basically I can't find any similar questions in my textbook and none of my answers seems plausible. You guys are my last resort! :L:D
 
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What do you mean "force exerted by PE of spring"? It seems as though you only need Hooke's law here for the force.

For the 2nd one, it's pretty straightforward. There should be a formula for period/frequency in your text for SHM.
 
the first part i can do no problem.. the second part i keep getting answers that look way out.. formula i had was t=2(pie)/w which i think was ok.. but w was a problem as i couldn't get a correct answer when i used a=w2s
 
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