Problem 4: (17% of Assignment Value) A particle of mass 1.81 kg moves along the x axis with a potential energy whose dependence on x is shown in the figure. Part (a) What is the force, in newtons, in the x direction on this particle at x = 6.9 m? Fr(6.9 m): = N U(x)(J) A 12.0 8.0 4.0 0 4.0 8.0 12.0 16.0 20.0 x(m) -4.0 -8.0 -12.0 sin() cos() tan() Π 7 8 9 HOME cotan() asin() acos() E 시 4 5 6 atan() acotan() sinh() * 1 2 3 cosh() tanh() cotanh() Degrees Radians + - 0 END . BACKSPACE DEL CLEAR Submit Hint Feedback I give up! 5 Submission(s) Remaining Hints: 0% deduction per hint. Hints remaining: 1 Feedback: 0% deduction per feedback. Part (b) If the total mechanical energy of the particle is -6.0 J, what is the minimum position the particle can have? Part (c) If the total mechanical energy of the particle is -6.0 J, what is the maximum position the particle can have? Part (d) If the total energy is 19.6 J, what is the speed of the particle at x = 8.0 m? Grade Summary Deductions Potential Submissions 0% 100% Attempt(s) Remaining: 5 2% Deduction per Attempt detailed view

Problem 4: (17% of Assignment Value) A particle of mass 1.81 kg moves along the x axis with a potential energy whose dependence on x is shown in the figure. Part (a) What is the force, in newtons, in the x direction on this particle at x = 6.9 m? Fr(6.9 m): = N U(x)(J) A 12.0 8.0 4.0 0 4.0 8.0 12.0 16.0 20.0 x(m) -4.0 -8.0 -12.0 sin() cos() tan() Π 7 8 9 HOME cotan() asin() acos() E 시 4 5 6 atan() acotan() sinh() * 1 2 3 cosh() tanh() cotanh() Degrees Radians + - 0 END . BACKSPACE DEL CLEAR Submit Hint Feedback I give up! 5 Submission(s) Remaining Hints: 0% deduction per hint. Hints remaining: 1 Feedback: 0% deduction per feedback. Part (b) If the total mechanical energy of the particle is -6.0 J, what is the minimum position the particle can have? Part (c) If the total mechanical energy of the particle is -6.0 J, what is the maximum position the particle can have? Part (d) If the total energy is 19.6 J, what is the speed of the particle at x = 8.0 m? Grade Summary Deductions Potential Submissions 0% 100% Attempt(s) Remaining: 5 2% Deduction per Attempt detailed view

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter8: Potential Energy And Conservation Of Energy

Section: Chapter Questions

Problem 50P: A particle of mass 0.50 kg moves along the x -axis with a potential energy whose dependence on x is...

See similar textbooks

Similar questions

(a) A force F=(4xi+3yj), where F is in newtons and x and y are in meters, acts on an object as the object moves in the x direction from the origin to x = 5.00 m. Find the work W=Fdr done by the force on the object. (b) What If? Find the work W=Fdr done by the force on the object if it moves from the origin to (5.00 m, 5.00 m) along a straightline path making an angle of 45.0 with the positive x axis. Is the work done by this force dependent on the path taken between the initial and final points?
(a) Can the kinetic energy of a system be negative? (b) Can the gravitational potential energy of a system be negative? Explain.
A shopper pushes a grocery cart 20.0 m at constant speed on level ground, against a 35.0 N frictional force. He pushes in a direction 25.0° below the horizontal. (a) What is the work done on the cart by friction? (b) What is the work done on the cart by the gravitational force? (c) What is the work done on the cart by the shopper? (d) Find the force the shopper exerts, using energy considerations. (e) What is the total work done on the cart?
A horizontal force of 20 N is required to keep a 5.0 kg box traveling at a constant speed up a frictionless incline for a vertical height change of 3.0 m. (a) What Is the work done by gravity dining this change in height? (b) What Is the work done by the normal force? (c) What is the work done by the horizontal farce?
In a Coyote/Road Runner cartoon clip (https://openstaxcollege.org/l/21coyroadcarcl), a spring expands quickly and sends the coyote into a rock. If the spring extended 5 m and sent the coyote of mass 20 kg to a speed of 15 m/s, (a) what is the spring constant of this spring? (b) If the coyote were sent vertically into the air with the energy given to him by the spring, how high could he go if there were no non-conservative forces?
An object is subject to a force F=(512i134j) N such that 10,125 J of work is performed on the object. If the object travels 25.0 m in the positive x direction while this work is performed, what must be the displacement of the object in the y direction?
A block of mass 200 g is attached at the end of a massless spring of spring constant 50 N/m. The other end of the spring is attached to the ceiling and the mass is released at a height considered to be where the gravitational potential energy is zero. (a) What is the net potential energy of the block at the instant the block is at the lowest point? (b) What is the net potential energy of the block at the midpoint of its descent? (c) What is the speed of the block at the midpoint of its descent?
A force F=(4xi+3yj), where F is in newtons and x and y are in meters, acts on an object as the object moves in the x direction from the origin to x = 5.00 m. Find the work W=Fdr done by the force on the object.
(a) What is the average useful power output of a person who does 6.00106 J of useful work in 8.00 h? (b) Working at this rate, how long will it take this person to lift 2000 kg of bricks 1.50 m to a platform? (Work done to lift his body can be omitted because it is not considered useful output here.)
“ E=K+Uconstant is a special case of the work energy theorem.” Discuss this statement.
Suppose the ski patrol lowers a rescue sled and victim, having a total mass of 90.0 kg, down a 60.00 slope at constant speed, as shown below. The coefficient of friction between the sled and the snow is 0.100. (a) How much work is done by fiction as the sled moves 30.0 m along the hill? (b) How much work is done by the rope on the sled in this distance? (c) What is the work done by the gravitational force on the sled? (d) What is the total work done?
Suppose a car travels 108 km at a speed of 30.0 m/s, and uses 2.0 gal of gasoline. Only 30 of the gasoline goes into useful work by the force that keeps the car moving at constant speed despite friction. (The energy content of gasoline is about 140 Mi/gal.) (a) What is the magnitude of the force exerted to keep the car moving at constant speed? (b) If the required force is directly proportional to speed, how many gallons will be used to drive 108 km at a speed of 28.0 m/s?