Question

Because of your role in the 'Great Penguin Riot and Massacre of 2014,' you have been relegated to the slug pen. While attending to your many exciting responsibilities, you have had time to design a new thingamajig which you can call a sprong. After months of careful testing, you have determined that the spring obeys the force law
F=-q (x-xe)^3î-q (y-ye)^3j
where xe and ye are the equilibrium positions for the x-coordinate and ya coordinate, respectively. For simplicity, let xe=0 and ye=0.
a.) What are the units for the strong constant q?
b.) Derive an expression for the potential energy function of a stretched or compressed sprong.
c.)How much work is done by stretching a sprong constant q=42,500 units from its equilibrium position r1=(0î+0j)my to posi5r2=(0.200î+0.300j)m?

Answer 1

イ )Potenbial e つくし As eand

d w い. 2,0.3 -1 Co, 9) = _lo 3.062 5 wionk done in 3.062 ST