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) Sketch the form of the potential. (b) Find the force F resulting from this potential as a function of position x. (c) Find the equilibrium position(s) and determine whether they are stable or unstable. (d) 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? (e) Explain briefly what type(s) of motion are possible in this potential if the total energy E = 3.0 J
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) Sketch the form of the potential. (b) Find the force F resulting from this potential as a function of position x. (c) Find the equilibrium position(s) and determine whether they are stable or unstable. (d) 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? (e) Explain briefly what type(s) of motion are possible in this potential if the total energy E = 3.0 J
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Question
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) Sketch the form of the potential.
(b) Find the force F resulting from this potential as a function of position x.
(c) Find the equilibrium position(s) and determine whether they are stable or unstable.
(d) 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?
(e) Explain briefly what type(s) of motion are possible in this potential if the total
energy E = 3.0 J
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