• Two forces i+j+kN and i+2j+ 3k N act on a particle and displace it from (2, 3, 4) to point (5, 4, 3). Displacement is in m. Work done is: (a) 5 J (b) 4 J (c) 3 J (d) None of these

Shown below is a 40-kg crate that is pushed at constant velocity a distance 8.0 m along a 30° incline by the horizontal force F → . The coefficient of kinetic friction between the crate and the incline is μk = 0.40. Calculate the work done by (a) the applied force, (b) the frictional force, (c) the gravitational force, and (d) the net force.

1. Work in 2-D. A particle is given a displacement Δr = (2.0m)i – (5.0m)j along a straight line. During the displacement, a constant force F = (3.0N)i + (4.0N)j acts on the particle. (a)Find the work done by the force, and (b) the component of the force in the direction of the displacement. 2. Work-Kinetic Energy Theorem. A truck of mass 3000 kg is to be loaded onto a ship by a crane that exerts an upward force of 31.0 kN (kilo Newtons) on the truck. This force, which is just strong enough to get the truck started upward, is applied over 2.00 m. Find (a) the work done by the crane, (b) the work done by gravity, and (c) the upward speed of the truck after 2.00 m. 3. Law of Conservation of Energy. Two snow-covered peaks are at elevations of 862 m and 741 m above the valley between them. If a skier starts from rest on the higher peak and just coasted down without exerting any effort, at what speed would he arrive at the lower peak? 4. Power and Kinetic Energy (PΔt = ΔK). A new…

A 390 kg crate hangs from the end of a rope of length L = 12.0m. You push horizontally on the crate with a varying force F → to move it a horizontal distance d = 3.50 m to the side.  Find the work your force F →  does on the crate in Joules.

#15 A person pushes a m = 2.00 kg carton a distance d = 7.20 m along the floor by a constant force of magnitude F= 10.0 N directed at an angle = 26.0' bolow the horizontal as shown in the figure. Assumo the floor is frictionless. Dotormine the work done on tho carton by the applied force (the force on the carton exerted by the person).

A variable force F = kx² acts on a particle which is initially at rest. Calculate the work done by the force during the displacement of the particle from x = 0 m to x = 7 m. (Assume the constant k =3 N m-2)

Section 003 HI, Osca What is the total work Wtric done on the block by the force of friction as the block moves a distance L up the incline? Express the work done by friction in terms of any or all of the variables u, m, g, 0, L, and F1. • View Available Hint(s) Wiric = Submit Part B Hang on the block bu the nnplied force F. as the block moves a distance L un the incline? What is the total work Mn

A 58 kg rollerblader skates across a skating rink floor. The graph below shows the net external force component acting on the skater along the displacement as a function of the magnitude of the displacement d. Calculate the following: (a) the work done (in J) by the force on the rollerblader as he moves from 0 to 20.0 m  J (b) the work done (in J) by the force acting on the rollerblader from 20.0 m to 30.0 m  J

A Net Force Fnet=(x-3x2)i + (2y2-y3)j acts on a 3.5 kg particle. a) Calculate the net work done on the particle as it moves from (1.0m,0.0m) to (1.0m,4.0m). b) At (x,y) = (1.0m,0.0m), the particle's speed is 5.0 m/s. Find the particle's speed at (x,y) = (1.0m,4.0m).

7.3 • CP A 120-kg mail bag hangs by a vertical rope 3.5 m long. À 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?