Find the work done in the following scenarios: a) Agent Scully finds that the fo

Question

Find the work done in the following scenarios:
a) Agent Scully finds that the force field due extraterrestrial telekinesis varies with distance as:
ForceE.T. = ax2 + b(x-x0), where “a” and “b” are constants and x0 is an initial distance.
What is the work associated with the force of telekinesis acting between distances xi and xf?
b) Suppose you know the values of resistance, R, and current, I, for a resistor in a circuit.
What is the work due to the current through the resistor for some time t?
c) A 6.0 V battery is charged by a power supply for 2 hours with a current of 5.5 A. (From Tinoco Ch2, #3b)

Explanation / Answer

a ) Given that Force F =   a x^2 + b ( x - x_0 )            where a & b are constants x , x _0 are initial and final distances      Work associated with force is   W = F * d                                                          = F * ( x - x_0 )        b ) Given that Resistance is R , current is i      Work done through the current through the resistor   for some time t is              P   = I^2 R            W   = P * t                 = I ^2 * R * t      c )   Given that voltage is V = 6.0 V , current i = 5.5 A , time t = 2 hours                Power P = i V                               = 6.0 V * 5.5 A                               = 33.0 W           Workdone is W = P * t                                     = 33.0 W * 2 * 60* 60                                      = 2.37 *10^5 J

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