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Physics, 10.03.2020 22:15 balancingmist1954

A thrill-seeking cat with mass 4.00 kg is attached by aharnass to an ideal spring of negligible mass and oscillatesvertically in SHM (simple harmonic motion). The amplitude is 0.050m, and at the highest point of the motion the spring has itsnatural unstretched length. Calculate the elastic potential energyof the spring (take it to be zero for the unstretched string), thekinetic energy of the cat, the gravitational potential energy ofthe system relative to the lowest point of the motion, and the sumof these three energies when the cat is:
a) at its highest point
b) at its lowest point
c) at its equilibrium position.
The answer in the back of the book is given as:
(a) 0, 0, 3.9 J, 3.9J
(b) 3.9 J, 0, 0, 3.9 J
(c) 0.98 J, 0.98 J, 2.0 J, 3.9 J
Please, can someone help me witharriving at this solution?

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A thrill-seeking cat with mass 4.00 kg is attached by aharnass to an ideal spring of negligible mass...
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