A proton with mass m moves in one dimension. The potential-energy function is U(
ID: 1417079 • Letter: A
Question
A proton with mass m moves in one dimension. The potential-energy function is U(x)=/x2/x, where and are positive constants. The proton is released from rest at x0=/.
A) Explain in words how that U(x) can be written as
U(x)=/(x0^2)[(x0/x)^2x0/x]
B) Calculate v(x), the speed of the proton as a function of position.
Express your answer in terms of the variables , x0, m, and x
Express your answer in terms of the variables , x0, m, and x
D) What is the value of that maximum speed?
Express your answer in terms of the variables , x0, m, and x.
E) What is the force on the proton at the point in part D?
Express your answer in terms of the variables , x0, m, and x.
C) For what value of x is the speed of the proton a maximum?Express your answer in terms of the variables , x0, m, and x
Explanation / Answer
A) the above expression int the question can be obtained by substituting the value of xo in the U(x)
When U(x) is asked to calculate at x = xo we get the above equation
B. sqrt((2*alpha/m*(x_0)^2)((x_0/x)-((x_0/x...
C. 2x_0
D. sqrt(alpha/(2*m*(x_0^2))
E. 0
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