A single force acts on a 3.2 kg particle-like object in such a way that the position of the object as a function of time is given by x = 0.91t - 2.7t2 + 4.4t3, with x in meters and t in seconds. Find the work done on the object by the force from t = 0 to t = 2.2 s.

a crate with mass m = 23.9 kg being pushed up an incline that makes an angle φ = 19.2 degrees with horizontal. The pushing force is horizontal, with magnitude P, and the coefficient of kinetic friction between the crate and the incline is μ = 0.337. Consider the work done on the crate as it moves a distance d = 4.34 m at constant speed.    Part (a)  What is work done by the pushing force, in joules?  Part (b)  What is the work done by friction, in joules?   Part (c)  What is the work done by gravity, in joules?  Part (d)  What is the net work, in joules?

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 4.5-kg block slides down a frictionless incline making an angle of 55.0° with the horizontal. (a) What is the total work done on the block when the block slides 1.4 m (measured along the incline)? (b) What is the speed of the block after it has slid 1.2 m if it starts from rest? m/s (c) What is its speed after 1.2 m if it starts with an initial speed of 1.6 m/s? m/s You can use the definition of work as the scalar product of a constant force and displacement to find the work done by each force acting on the block. Then use the work- kinetic energy theorem the find the speed of the block at any given location and for any initial kinetic energy it may have.

A single conservative force acts on the a 5.0 kg object.  The equation Fx = 2x + 4 describes the force, where x is in meters.  As the object moves along the x axis from x = 1.0 m to x = 5.0 m calculate the work done by this force.

A car with mass 1520 kg is traveling down the highway at a speed of 18 m/s when the driver slams on the brakes due to an accident up ahead. The car eventually comes to rest.According to the work-energy theorem the work is related to the change in kinetic energy, Wnet = Δ KE = KEfinal - KEinitial.(a) Using the work-energy relationship, determine how much net work is done on the car from the brakes? Report the magnitude of the the work (positive value) even though the work from brakes will be negative since the car is slowing down._____ J(b) The brakes apply a force of 24000 N to the car in order to make it stop. Using the fact that W = F d and the fact that the you found the work done (magnitude) by the brakes in part (b), determine the stopping distance, d, of the car.____ m

The graph shows the x component of a force that acts on an object that moves on the x axis. The vertical spacing between adjacent grid lines is 4.98N, while the horizontal spacing between adjacent grid lines is 1.0m. What is the work, in joules, done by the force as the object moves from x = 4m to x = 5m ? F (N) C C 0 x (m)

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?

An asteroid is moving along a straight line. A force acts along the displacement of the asteroid and slows it down. The asteroid has a mass of 5.3x 104 kg, and the force causes its speed to change from 6900 to 5500m/s. (a) What is the work done by the force? (b) If the asteroid slows down over a distance of 2.3x 10 m determine the magnitude of the force. (a) Work- (b) F- i

The spring-flex exercise system consists of a spring with one end fixed and a handle on the other end. The idea is that you exercise your muscles by stretching the spring from its natural length, which is 38 cm. If a 170 Newton force is required to keep the spring stretched to a length of 52 cm, how much work is required to stretch it from 51 cm to 70 cm? Your answer must include the correct units. Work =