A variable force directed in the positive x direction is exerted on an object moving at a constant speed at x = 0 in the same direction. The variable force as a function of the displacement of the object is shown in the figure. If the force is applied to the object beginning at x = 5.0 m and the force does 1600 J of work, determine the magnitude of the displacement where the force is removed (F = 0 N).

Bob is pulling a box of his toys of mass 15.0 kg along a rough horizontal surface for a distance of 6.00 m. The tension force in the rope is 58.0 N and the angle is 30° with respect to the horizontal. The frictional force on the box is 18.0 N.  How much work is done on the box by its weight force, in Joule? Use g = 10.0 m/s2. Your answer needs to have 3 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement.

A force with a magnitude of 60 N is applied at an angle theta= 50 to the horizontal to an object initially at rest, displacing it 5 m from its initial location. The object weighs 50 kilograms and there is no friction. After this displacement, the force is no longer applied. Determine the work being done by the force? How fast is the object when the force is removed? When the force is no longer exerted, the item falls down a 10-meter-high cliff. When it reaches the ground, what is its velocity? When it strikes the ground, it slides along the ground, which has a coefficient of kinetic friction of 0.25. How far does it go before coming to a stop?

An object moves in the x-y plane while acted on by the force F(x,y) = k1yi + k2xj, where k1 and k2 are constants with units of N/m. The object moves along a straight line path from Cartesian coordinate (x1, y1) to (x2, y2). Write an expression for the work done on the object by this force.