(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 13: A box m = 89 kg is being pulled by a constant force F= 157 N at an angle of e = 31 degrees. The initial speed of the box is zero. F AT- M X Otheexpertta.com G A 33% Part (a) Write an expression for the work done by force F as the block moves a horizontal distance d. Grade Summary W = Deductions 0% Potential 100% Late Work % 50% cos(a) COS(@) (A)SOO sin(o) ( 7 9 HOME Late Potential 50% sin(() sin(0) B 4 Submissions F 2 3 Attempts remaining: 5 h 1 m P + END (4% per attempt) detailed view t tan(a) tan(() tan(0) BACKSPACE DEL CLEAR Submit Hint Feedback I give up! Hints: 1% deduction per hint. Hints remaining: 2 Feedback: 2% deduction per feedback. A 33% Part (b) How much work, in joules, was done in moving the block 4.1 m? A 33% Part (c) What is the speed of the box at d = 4.I'm if the surface is frictionless?(5%) Problem 14: The thrust created by a single jet engine produces a force of F = 98000 N. Which requires the airplane (with a mass of m = 9400 kg) a distance of d = 0.99 km to take off. & 50% Part (a) What is the take-off speed of the airplane v, in m/'s? Grade Summary Deductions 0% Potential 1009% Late Work % 50% sin( cos tan( ( 7 8 9 HOME Late Potential 50% cotan( asin( cos( E 4 Submissions atan( acotan( sinhC 1 2 3 Attempts remaining: 5 cosh() tanh() cotanh() END (4% per attempt) detailed view O Degrees O Radians VC BACKSPACE DEL CLEAR Submit Hint Feedback I give up! Hints: 1% deduction per hint. Hints remaining: 3 Feedback: 2% deduction per feedback. 4 50% Part (b) How far in meters would you need to depress a giant spring k = 100,000 N/m in order to launch the airplane at the same speed without help from the engine?(5%] Problem 15: A 30.6 kg child starts from test at the top and slides down a slide that is 2.93 m high. At the bottom ofthe slide. the child is moving with a speed 0130.134} mfg. .115, How much work: in joules, was done by the nonconsen'atix'e force of friction on the chilcl'.1 r Grade Summary W = :l J Deductions Potential +99% Late \"'ork % 50% Late Potential 50% Suhm issions Attempt: remaining: per attempt] detailed View iii-13' Degrees '33:? Radians Submit | Hint Hints: deduction per him. Hint: remaining: _ Feedback: deduction per feedback. (5%) Problem 16: A 4.8 x 10- kg subway train is brought to a stop from a speed of 0.95 m's in 0.48 m by a large spring bumper at the end of its track. & What is the force constant k of the spring in N/m? Grade Summary k = Deductions 0% Potential 100% Late Work % 50% sin() cos() tan( 9 HOME Late Potential 50% cotan( asin( acos() E 6 Submissions atan acotan( sinh( 3 Attempts remaining: 5 cosh( tanh() cotanh( + 0 END (4% per attempt) detailed view O Degrees O Radians VC BACKSPACE DEL CLEAR Submit Hint Feedback I give up! Hints: 1% deduction per hint. Hints remaining: 2 Feedback: 2% deduction per feedback.(5%) Problem 17: Suppose the ski patrol lowers a rescue sled carrying an injured skiier, with a combined mass of 75.1 kg. down a 60.0" slope at constant speed, as shown in the Figure. The coefficient of kinetic friction between the sled and the snow is 0.100. T W 60 Otheexpertta.com & 25% Part (a) How much work, in joules, is done by friction as the sled moves 27.4 m along the hill? Grade Summary Wf = Deductions 0% Potential 100% Late Work % 50% sino cos( tan() 7 8 9 HOME Late Potential 50% cotan() asin() acos() E 4 5 6 Submissions atan( acotan() sinho 2 3 Attempts remaining: 5 cosh() tanh() cotanh() + 0 END (4% per attempt) detailed view O Degrees O Radians BACKSPACE DEL CLEAR Submit Hint Feedback I give up! Hints: 1% deduction per hint. Hints remaining: 2 Feedback: 2% deduction per feedback. A 25% Part (b) How much work, in joules, is done by the rope on the sled over this distance? & 25% Part (c) What is the work, in joules, done by the gravitational force on the sled? A 25% Part (d) What is the net work, in joules, done on the sled?(5%) Problem 18: A 60.0 kg skier with an initial speed of 16.5 m's coasts up a 2.50 m high rise as shown in the figure. VI = ? KE Vi 2.5 m 350 Otheexpertta.com A Find her final speed right at the top, in meters per second, given that the coefficient of friction between her skis and the snow is 0.38. Grade Summary VF = Deductions 0% Potential 100% Late Work % 50% sin() cos() tan() 9 HOME Late Potential 50% cotan() asin() acos E Submissions atan() acotan( sinh( 1 2 3 Attempts remaining: 5 cosh tanh() cotanh( + END (4% per attempt) detailed view O Degrees O Radians VC BACKSPACE DEL CLEAR Submit Hint Feedback I give up! Hints: 1% deduction per hint. Hints remaining: 2 Feedback: 2% deduction per feedback.(5%) Problem 19: A pitcher supplies a power of P= 219 W to a baseball of mass m = 0.095 kg for a period of t = 0.27 s. CA What is the ball's speed in m's when it leaves his hand? Grade Summary V= Deductions 0% Potential 100% Late Work % 50% sin() cos( tan() 7 HOME Late Potential 50% cotan( asin acos() 4 6 + Submissions atan() acotan( sinhC 1 2 3 Attempts remaining: 5 cosh( tanh() cotanh( + END (4% per attempt) detailed view O Degrees O Radians VO BACKSPACE DEL CLEAR Submit Hint Feedback I give up! Hints: 19% deduction per hint. Hints remaining: 3 Feedback: 2% deduction per feedback.(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