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A body with mass 0.40 kg moves in one dimension according to a potential of the
form
U(x) = A/x³-B/x ,

where A = 4.0 Jm3 abd B = 3.0 Jm, and we take x > 0.

(a) If the speed of the body at x = 4.0m is v = 3.9 ms−1, what is the speed at x = 1.5 m?

(b) Explain briefly what type(s) of motion are possible in this potential if the total
energy E = 3.0 J.

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