(5%) Problem 22: The potential energy of a particle as a function of position will be given as U(x) = Ax- + B x + C. where U will be in joules when x is in meters. A, B, and C are constants. A 50% Part (a) Enter an expression for the x-component of the force as function of position F(x), in terms of the constants A, B, and C. Grade Summary F(x) = Deductions 0% Potential 100% Late Work % 50% ( 7 8 9 HOME Late Potential 50% 4 5 6 Submissions 1 2 3 Attempts remaining: 5 + END (4% per attempt) detailed view NO BACKSPACE DEL CLEAR Feedback I give up! Hints: 1% deduction per hint. Hints remaining: 1 Feedback: 2% deduction per feedback 4 50% Part (b) What is the force on this particle, in newtons, at x = 44 cm, if the constants are A = 4.9 J/m-, B = 5.8 J/m, and C = 4.7 J?(5%) Problem 20: Contemplate a 2.89 W electric clock. What is the yearly cost, in dollars, of running such a clock if the cost of electricity is $0.083 per kilowatt-hour? Grade Summary cost year = dollars Deductions 0% Potential 100% Late Work % 50% sin() cos() tan() II 7 9 HOME Late Potential 50% cotan( asin() acoso E 4 5 6 Submissions atan() acotan( ) sinh( 2 3 Attempts remaining: 5 cosh() tanh() cotanh( + 0 END (4% per attempt) detailed view ODegrees O Radians VO BACKSPACE DEL CLEAR Submit Hint Feedback I give up! Hints: 1% deduction per hint. Hints remaining: 1 Feedback: 2% deduction per feedback.(5%) Problem 21: The force required to compress a non-standard spring as a function of displacement from equilibrium x is given by the equation F(x) = ax - bx, where a = 65 N/m : b =6 N/m, and the positive x direction is in the compression direction of the spring. CA 33% Part (a) Write a general equation in terms of the given variables for the work required to compress this spring from equilibrium to any point X Grade Summary W = Deductions 0% Potential 1009% Late Work % 50% 8 9 HOME Late Potential 50% 4 5 6 Submissions 3 Attempts remaining: 5 + END (4% per attempt) detailed view BACKSPACE DEL CLEAR Feedback I give up! Hints: 1% deduction per hint. Hints remaining: 2 Feedback: 2% deduction per feedback. 4 33% Part (b) Calculate the work done, in joules, on the spring as it is compressed from x = 0 to x/ = 42 cm. & 33% Part (c) Calculate the work done, in joules, on the spring as it is compressed from x/ = 42 cm to x, = 96 cm