A object of mass 3.00 kg is subject to a force F, that varies with position as in the figure below. F, (N) 4 x (m) 10 12 18 20 2 4 6 8 14 16 (a) Find the work done by the force on the object as it moves from x = 0 to x = 6.00 m. (b) Find the work done by the force on the object as it moves from x = 6.00 m to x = 12.0 m. (c) Find the work done by the force on the object as it moves from x = 12.0 m to x = 17.0 m. (d) If the object has a speed of 0.450 m/s at x = 0, find its speed at x = 6.00 m and its speed at x = 17.0 m. speed at x = 6.00 m m/s m/s speed at x = 17.0 m 2.

An object has several forces acting on it. One of these forces is F=αxyî, a force in the x-direction whose magnitude depends on the position of the object, with α=2.50N/m2. Calculate the work done on the object by this force for the following displacements of the object: (a) the object starts at the point (x=0, y=3.00 m) and moves parallel to the x-axis to the point (x=2.00m, y=3.00m). (b) the object starts at the point (x=2.00m, y=0) and moves in the y-direction to the point (x=2.00m, y=3.00m). (c) the object starts at the origin and moves on the line y=1.5x to the point (x=2.00m, y=3.00m).

A object of mass 3.00 kg is subject to a force F, that varies with position as in the figure below. Fx (N) 3 2 1 X (m) 2 4 6 8 10 12 14 16 18 20 (a) Find the work done by the force on the object as it moves from x = 0 to x = 5.00 m. J (b) Find the work done by the force on the object as it moves from x = 5.00 m to x = 10.0 m. J (c) Find the work done by the force on the object as it moves from x = 10.0 m to x = 17.0 m. J (d) If the object has a speed of 0.600 m/s at x = 0, find its speed at x = 5.00 m and its speed at x = 17.0 m. speed at x = 5.00 m m/s speed at x = 17.0 m m/s

a block of mass m=5 kg is pulled at a constant speed along a rough horizontal surface by a rope at 30 degree. the tension in the rope is T and the coefficient of kinetic friction between the block and the surface is 0.25. (a) find the tension in the rope. (b) if the block travels a distance of 4.5 m along the surface, what is the work done by the tension force from the rope? (c) find the work done by friction on the rock.

A particle is subject to a force F, that varies with position as shown in the following figure. F, (N) 3 1 х (m) 4 6 10 12 14 16 (a) Find the work done by the force on the particle as it moves from x = 0 to x = :3.00 m. (b) Find the work done by the force on the particle as it moves from x = 5.00 m to x = 9.00 m. J (c) Find the work done by the force on the particle as it moves from x = 11.0 m to x = 15.0 m. (d) What is the total work done by the force over the distance x = 0 to X = 15.0 m?

The force acting on a particle varies as in the figure below. (The x axis is marked in increments of 2.50 m.) F (N) x (m) Find the work done by the force as the particle moves across the following distances. (a) from x = 0 m to x = 20.0 m (b) from x = 20.0 m to x = 30.0 m (c) from x = 0 m to x = 30.0 m

Consider an object of mass m = 4 kg on a frictionless table. The object experiences a repulsive force F = a/x2 + b/x, where F is in newtons and x is the position of the object relative to the origin. Write an expression for the work done by the repulsive force on the object as it moves from an initial position of x1 to a final position of x2.    If the object starts at a position of x1 = 8.5 m apart, how much work, in joules, is required by an external force to bring it to a position of x2 = 2.5 m apart when a = 19 and b = 11?    If the object starts at rest at a position x3 = 1.3 m and is released, at what speed v, in meters per second, will the object be moving when it is at position x4 = 12.5 m?

A spring with a spring constant of 18.0 N/cm has a cage attached to its free end. (a) How much work does the spring force do on the cage when the spring is stretched from its relaxed length by 7.60 mm? (b) How much additional work is done by the spring force when the spring is stretched by an additional 7.60 mm?

The force F(x) varies with position, as shown below. Find the work done by this force on a particle as it moves from x = 1.0 m to x = 5.0 m. F(x) (N) 4 6.0 4.0 2.0 0 -2.0 -4.0 2.0 4.0 6.0 8.0 x(m)

A block of mass m = 3.00 kg is pushed a distance d = 6.30 m along a frictionless horizontal table by a constant applied force of magnitude F = 16.0 N directed at an angle 0 = 21.0° below the horizontal as shown in the figure below. m (a) Determine the work done on the block by the applied force. (b) Determine the work done on the block by the normal force exerted by the table. (c) Determine the work done on the block by the force of gravity. (d) Determine the work done by the net force on the block. J