CP A 120-kg mail bag hangs by a vertical rope 3.5 m long. A postal worker then displaces the bag to a position 2.0 m side- ways from its original position, always keeping the rope taut. (a) What horizontal force is necessary to hold the bag in the new position? (b) As the bag is moved to this position, how much work is done (i) by the rope and (ii) by the worker?
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- A 980 kg car travels a distance of 6.00 m uphill along a road that makes an angle of 30.0∘ with the horizontal. All forces of friction are negligible. If the speed of the car increases at a rate of 2.00 ??2 , the work ?? done by the applied force on the car during this motion isThe figure gives the acceleration of a 6.0 kg particle as an applied force moves it from rest along an x axis from x0 to x=9.0 m. The scale of the figure's vertical axis is set by a, - 10.0 m/s. How much work has the force done on the particle when the particle reaches (a) x= 4.0 m. (b) x = 7.0 m, and (c) x- 9.0 m? What is the particle's speed and direction (give positive answer if the particle moves along x axis in positive direction and negative otherwise) of travel when it reaches (d) x - 4.0 m, (e) x - 7.0 m, and () x=9.0 m? x (m) (a) Number Units (b) Number Units (c) Number Units 11In the figure, a 0.25 kg block of cheese lies on the floor of a 900 kg elevator cab that is being pulled upward by a cable through distance d₁ = 2.5 m and then through distance d₂ = 10.2 m. (a) Through d₁, if the normal force on the block from the floor has constant magnitude FN = 3.04 N, how much work is done on the cab by the force from the cable? (b) Through d2, if the work done on the cab by the (constant) force from the cable is 91.30 kJ, what is the magnitude of FN?
- In the figure, a 0.25 kg block of cheese lies on the floor of a 970 kg elevator cab that is being pulled upward by a cable through distance di = 2.3 m and then 10.0 m. (a) Through d1, if the normal force on the block from the floor has constant magnitude FN = 3.91 N, how much work is done through distance d2 on the cab by the force from the cable? (b) Through d2, if the work done on the cab by the (constant) force from the cable is 91.34 kJ, what is the magnitude of FN? (a) Number Units (b) Number UnitsA 70 kg rollerblader skates across a skating rink floor. The graph below shows the net external force component F cos(?) along the displacement as a function of the magnitude of the displacement d. Determine the following. (a) the work done (in J) by the net force component F cos(?) acting on the rollerblader as he moves from 0 to 5.0 m (b) the work done (in J) by the net force component F cos(?) acting on the rollerblader from 5.0 m to 10.0 mSuppose the ski patrol lowers a rescue sled and victim, having a total mass of 90.0 kg, down a ? = 62.0° slope at constant speed, as shown in the figure. How much work is done (in J) by friction as the sled moves 30.0 m along the hill? How much work is done (in J) by the rope on the sled in this distance? What is the work done (in J) by gravity on the sled? What is the total work done (in J)?
- A horizontal force ?⃗?of magnitude 21.0 N is applied to a 3.12 kg book as the book slides a distance d = 0.64 m up a frictionless ramp at angle θ = 30°. (a)During the displacement, what is the net work done on the book by ?⃗?, the gravitational force on the book, and the normal force on the book? (b)If the book has zero kinetic energy at the start of the displacement, what is its speed at the end of the displacement?A graph of the force on an object as a function of its position in the r-direction is shown in the figure. Determine the amount of work done by this force on the object during a displacement from x = -2.00 m to x = +2.00 m. (A) W = -4.00 J 3 (B) W = -2.00 J 2. (C) W = –1.00 J 1 - (D) W = 0.00 J (E) W = +1.00 J (F) W = +2.00 J -1 (G) W = +4.00 J -2 x [m] Graph of force vs. position in the x-direction. O A Force [N]Suppose the ski patrol lowers a rescue sled and victim, having a total mass of 95.0 kg, down a 54.0° slope at constant speed, as shown in the figure. T 60° 13 13 The coefficient of friction between the sled and the snow is 0.100. (a) How much work is done (in J) by friction as the sled moves 30.0 m along the hill? × J (b) How much work is done (in J) by the rope on the sled in this distance? X J (c) What is the work done (in J) by the gravitational force on the sled? 20
- A 325 N force is pulling on an 85.0 kg refrigerator as it slides across a horizontal floor. The force acts at an angle of 25.0° above the horizontal surface of the floor. The coefficient of kinetic friction between the refrigerator and the floor is 0.150, and the refrigerator moves a distance of 5.50 m. Find (a) the work done by the pulling force, (b) the work done by the force of kinetic friction, (c) the net amount of work done on the refrigerator, and (d) if the refrigerator was initially at rest determine the speed of the refrigerator after the 5.50m displacement. (e) Include a force (or free-body) diagram of the situation. ]The graph shows the net external force component F cose along the displacement as a function of the magnitude s of the displacement. The graph applies to a 71.6-kg ice skater. How much work does the net force component do on the skater from (a) O to 3.00 m and (b) 3.00 m to 6.00 m? (c) If the initial speed of the skater is 2.64 m/s when s = 0m, then what is the speed when s = 6.00 m? F cose 31 N 3.0 m 6.0 mA 90.0 kg mail bag hangs by a vertical rope 3.5 m long. A postal worker then displaces the bag to a position 2.0 m sideways from its original position, always keeping the rope taut. (a) What horizontal force is necessary to hold the bag in the new position? (b) As the bag is moved to this position, how much work is done (i) by the rope and (ii) by the worker?