(5%) Problem 22: The potential energy of a particle as a function of position will be...

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(5%) Problem 22: The potential energy of a particle as a function of position will be given as Ux)=Ax+Bx+C. where U will be in joules when x is in meters. A, B, and C are constants. 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 Deductions F(x)= A B C ()7 14 89 HOME 5 6 d g h 1 2 3 j k m + 0 END P t x VO BACKSPACE DEL CLEAR Submit Hint 0% Potential 100% Late Work % 50% 50% Late Potential Submissions Attempts remaining: 5 (4% per attempt) detailed view Hints: 1% deduction per hint. Hints remaining: 1 Feedback I give up! Feedback: 2% deduction per feedback. 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 = 31 degrees. The initial speed of the box is zero. W= y M F x Otheexpertta.com 33% Part (a) Write an expression for the work done by force F as the block moves a horizontal distance d. () T^^4 cos(a) cos(Q) cos(0) sin(a) 7 8 9 HOME sin(o) sin(e) 5 6 d F * g 1 2 3 h j m + 0 END t tan(a) tan(Q) tan(0) VO BACKSPACE DEL CLEAR Submit Hint Feedback I give up! Grade Summary Deductions Potential 0% 100% Late Work % 50% Late Potential 50% Submissions Attempts remaining: 5 (4% per attempt) detailed view Hints: 1% deduction per hint. Hints remaining: 2 Feedback: 2% deduction per feedback. A33% 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 = 4.1 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? V = sin( cos() tan() cotan atan asin() acos ( ) 789 E4 56 HOME acotan() sinh * 1 2 3 cosh() tanh() cotanh() Degrees Radians - 0 END DEL CLEAR VO BACKSPACE Grade Summary Deductions Potential 0% 100% Late Work % 50% Late Potential 50% Submissions Attempts remaining: 5 (4% per attempt) detailed view Hints: 1% deduction per hint. Hints remaining: 3 Submit Hint Feedback I give up! Feedback: 2% deduction per feedback. 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 rest at the top and slides down a slide that is 2.93 m high. At the bottom of the slide, the child is moving with a speed of 0.59 m/s. How much work, in joules, was done by the nonconservative force of friction on the child? W = J Grade Summary Deductions 0% () 789 HOME E456 * 1 2 3 0 VO BACKSPACE END DEL CLEAR Potential 100% Late Work % 50% Late Potential 50% Submissions Attempts remaining: 5 (4% per attempt) detailed view sin cos() tan() cotan() asin() acos atan acotan() sinh cosh() tanh() cotanh Degrees Radians + Submit Hint Feedback I give up! Hints: 1% deduction per hint. Hints remaining: 2 Feedback: 2% deduction per feedback. (5%) Problem 16: A 4.8 105 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? k = sin( cos() tan() cotan asin() acos ( ) 789 EM4 56 Grade Summary Deductions Potential 0% 100% Late Work % 50% HOME atan) acotan() sinh() cosh() tanh() cotanh() Degrees Radians * 1 2 3 + 0 END VO BACKSPACE DEL CLEAR Submit Hint Feedback I give up! Hints: 1% deduction per hint. Hints remaining: 2 Feedback: 2% deduction per feedback. Late Potential 50% Submissions Attempts remaining: 5 (4% per attempt) detailed view (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. 60 W T Otheexpertta.com 25% Part (a) How much work, in joules, is done by friction as the sled moves 27.4 m along the hill? W = J 5 6 1 2 3 sin( cos() tan() cotan asin() acos( ( ) 789 E4 atan acotan() sinh() * cosh() tanh() cotanh + - 0 Degrees Radians VO BACKSPACE HOME END DEL CLEAR Grade Summary Deductions Potential 0% 100% Late Work % 50% Late Potential 50% Submissions Attempts remaining: 5 (4% per attempt) detailed view 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? A 25% Part (c) What is the work, in joules, done by the gravitational force on the sled? 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. 1 = ? KE V 2.5 m 35 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. V = () sin cotan cos() tan() 7 8 9 HOME asin() acos E4 5 6 atan acotan() sinh * 12 3 + - 0 END VO BACKSPACE DEL CLEAR cosh() tanh() cotanh Degrees Radians Grade Summary Deductions Potential 0% 100% Late Work % 50% Late Potential 50% Submissions Attempts remaining: 5 (4% per attempt) detailed view 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. What is the ball's speed in m/s when it leaves his hand? v= 89 E4 5 6 1 2 3 HOME sin cos() tan() ()7 cotan() asin() acos acotan() atan() cosh() tanh() cotanh() Degrees Radians sinh() * + - 0 END VO BACKSPACE DEL CLEAR Grade Summary Deductions Potential 0% 100% Late Work % 50% Late Potential 50% Submissions Attempts remaining: 5 (4% per attempt) detailed view Submit Hint Feedback I give up! Hints: 1% 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? cost/year = dollars Grade Summary Deductions sin() cotan() atan cosh() tanh() cotanh() Degrees Radians cos() asin() acotan() sinh() tan acos() ( ) 7 89 EMN4 HOME 5 6 * 1 2 3 + 0 END VO BACKSPACE DEL CLEAR Submit Hint Feedback I give up! Hints: 1% deduction per hint. Hints remaining: 1 Feedback: 2% deduction per feedback. Potential 0% 100% Late Work % 50% Late Potential 50% Submissions Attempts remaining: 5 (4% per attempt) detailed view (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. W= 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 xp. k () 0 a b d g h j m n P + t y Submit Hint Hints: 1% deduction per hint. Hints remaining: 2 7 89 56 HOME ^^4 * 1 2 3 0 VO BACKSPACE END DEL CLEAR Feedback I give up! Grade Summary Deductions Potential 0% 100% Late Work % 50% Late Potential 50% Submissions Attempts remaining: 5 (4% per attempt) detailed view Feedback: 2% deduction per feedback. 33% Part (b) Calculate the work done, in joules, on the spring as it is compressed from x = 0 to x1 = 42 cm. 33% Part (c) Calculate the work done, in joules, on the spring as it is compressed from x1 = 42 cm to x2 = 96 cm. (5%) Problem 22: The potential energy of a particle as a function of position will be given as Ux)=Ax+Bx+C. where U will be in joules when x is in meters. A, B, and C are constants. 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 Deductions F(x)= A B C ()7 14 89 HOME 5 6 d g h 1 2 3 j k m + 0 END P t x VO BACKSPACE DEL CLEAR Submit Hint 0% Potential 100% Late Work % 50% 50% Late Potential Submissions Attempts remaining: 5 (4% per attempt) detailed view Hints: 1% deduction per hint. Hints remaining: 1 Feedback I give up! Feedback: 2% deduction per feedback. 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 = 31 degrees. The initial speed of the box is zero. W= y M F x Otheexpertta.com 33% Part (a) Write an expression for the work done by force F as the block moves a horizontal distance d. () T^^4 cos(a) cos(Q) cos(0) sin(a) 7 8 9 HOME sin(o) sin(e) 5 6 d F * g 1 2 3 h j m + 0 END t tan(a) tan(Q) tan(0) VO BACKSPACE DEL CLEAR Submit Hint Feedback I give up! Grade Summary Deductions Potential 0% 100% Late Work % 50% Late Potential 50% Submissions Attempts remaining: 5 (4% per attempt) detailed view Hints: 1% deduction per hint. Hints remaining: 2 Feedback: 2% deduction per feedback. A33% 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 = 4.1 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? V = sin( cos() tan() cotan atan asin() acos ( ) 789 E4 56 HOME acotan() sinh * 1 2 3 cosh() tanh() cotanh() Degrees Radians - 0 END DEL CLEAR VO BACKSPACE Grade Summary Deductions Potential 0% 100% Late Work % 50% Late Potential 50% Submissions Attempts remaining: 5 (4% per attempt) detailed view Hints: 1% deduction per hint. Hints remaining: 3 Submit Hint Feedback I give up! Feedback: 2% deduction per feedback. 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 rest at the top and slides down a slide that is 2.93 m high. At the bottom of the slide, the child is moving with a speed of 0.59 m/s. How much work, in joules, was done by the nonconservative force of friction on the child? W = J Grade Summary Deductions 0% () 789 HOME E456 * 1 2 3 0 VO BACKSPACE END DEL CLEAR Potential 100% Late Work % 50% Late Potential 50% Submissions Attempts remaining: 5 (4% per attempt) detailed view sin cos() tan() cotan() asin() acos atan acotan() sinh cosh() tanh() cotanh Degrees Radians + Submit Hint Feedback I give up! Hints: 1% deduction per hint. Hints remaining: 2 Feedback: 2% deduction per feedback. (5%) Problem 16: A 4.8 105 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? k = sin( cos() tan() cotan asin() acos ( ) 789 EM4 56 Grade Summary Deductions Potential 0% 100% Late Work % 50% HOME atan) acotan() sinh() cosh() tanh() cotanh() Degrees Radians * 1 2 3 + 0 END VO BACKSPACE DEL CLEAR Submit Hint Feedback I give up! Hints: 1% deduction per hint. Hints remaining: 2 Feedback: 2% deduction per feedback. Late Potential 50% Submissions Attempts remaining: 5 (4% per attempt) detailed view (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. 60 W T Otheexpertta.com 25% Part (a) How much work, in joules, is done by friction as the sled moves 27.4 m along the hill? W = J 5 6 1 2 3 sin( cos() tan() cotan asin() acos( ( ) 789 E4 atan acotan() sinh() * cosh() tanh() cotanh + - 0 Degrees Radians VO BACKSPACE HOME END DEL CLEAR Grade Summary Deductions Potential 0% 100% Late Work % 50% Late Potential 50% Submissions Attempts remaining: 5 (4% per attempt) detailed view 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? A 25% Part (c) What is the work, in joules, done by the gravitational force on the sled? 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. 1 = ? KE V 2.5 m 35 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. V = () sin cotan cos() tan() 7 8 9 HOME asin() acos E4 5 6 atan acotan() sinh * 12 3 + - 0 END VO BACKSPACE DEL CLEAR cosh() tanh() cotanh Degrees Radians Grade Summary Deductions Potential 0% 100% Late Work % 50% Late Potential 50% Submissions Attempts remaining: 5 (4% per attempt) detailed view 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. What is the ball's speed in m/s when it leaves his hand? v= 89 E4 5 6 1 2 3 HOME sin cos() tan() ()7 cotan() asin() acos acotan() atan() cosh() tanh() cotanh() Degrees Radians sinh() * + - 0 END VO BACKSPACE DEL CLEAR Grade Summary Deductions Potential 0% 100% Late Work % 50% Late Potential 50% Submissions Attempts remaining: 5 (4% per attempt) detailed view Submit Hint Feedback I give up! Hints: 1% 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? cost/year = dollars Grade Summary Deductions sin() cotan() atan cosh() tanh() cotanh() Degrees Radians cos() asin() acotan() sinh() tan acos() ( ) 7 89 EMN4 HOME 5 6 * 1 2 3 + 0 END VO BACKSPACE DEL CLEAR Submit Hint Feedback I give up! Hints: 1% deduction per hint. Hints remaining: 1 Feedback: 2% deduction per feedback. Potential 0% 100% Late Work % 50% Late Potential 50% Submissions Attempts remaining: 5 (4% per attempt) detailed view (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. W= 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 xp. k () 0 a b d g h j m n P + t y Submit Hint Hints: 1% deduction per hint. Hints remaining: 2 7 89 56 HOME ^^4 * 1 2 3 0 VO BACKSPACE END DEL CLEAR Feedback I give up! Grade Summary Deductions Potential 0% 100% Late Work % 50% Late Potential 50% Submissions Attempts remaining: 5 (4% per attempt) detailed view Feedback: 2% deduction per feedback. 33% Part (b) Calculate the work done, in joules, on the spring as it is compressed from x = 0 to x1 = 42 cm. 33% Part (c) Calculate the work done, in joules, on the spring as it is compressed from x1 = 42 cm to x2 = 96 cm.