A single conservative force acts on a 4.70-kg particle within a system due to its interaction with the rest of the system. The equation Fx = 2x + 4 describes the force, where Fx is in newtons and x is in meters. As the particle moves along the x axis from x = 0.96 m to x = 7.50 m, calculate the following. (a) the work done by this force on the particle 81.488 J (b) the change in the potential energy of the system J (c) the kinetic energy the particle has at x = 7.50 m if its speed is 3.00 m/s at x = 0.96 m J

A particle is subject to a force Fx that varies with position as shown. Find the work done by the force on the particle as it moves (a) from x = 0 to x = 5.00 m, (b) from x = 5.00 m to x = 10.0 m, and (c) from x = 10.0 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?

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).

You have two vectors: A = 7.27î + 3ĵ and B = 4î - 0.95ĵ + 12k. If vector A represents a force vector and vector B is a displacement vector, what is the magnitude of work done by this force?

A 325 N force is pulling on an 85.0 kg refrigerator as it slides across a horizontal floor. The force acts at an upward angle of 25.0° above the horizontal. 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. [Diagram 2 pts.]

A bicyclist starting from rest applies a force of F = 239 N to ride his bicycle across flat ground for a distance of d = 210 m before encountering a hill making an angle of θ = 17 degrees with respect to the horizontal. The bicycle and rider have a mass of m = 120 kg combined. In this problem, you can ignore air resistance and other losses due to friction.How much work, W in joules, did the rider do before reaching the hill? What is the bicycle's speed, v in m/s, just before the hill? If the cyclist starts coasting at the bottom of the hill, what distance, di in meters, does the bike travel up the incline?

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?

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 bicyclist rides 1.90 km due east, while the resistive force from the air has a magnitude of 7.13 N and points due west. The rider then turns around and rides 1.90 km due west, back to her starting point. The resistive force from the air on the return trip has a magnitude of 7.13 N and points due east. Find the work done by the resistive force during the round trip. Number Units

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?