A barge of mass 5.00 ×104 kg is pulled along the Erie Canal by two mules, walking along towpaths parallel to the canal on either side of it. The ropes harnessed to the mules make angles of 45.0° to the canal. Each mule is pulling on its rope with a force of 1.70 kN. How much work is done on the barge by both of these mules together as they pull the barge 155.4 m along the canal?

Two tugboats pull a disabled supertanker. Each tug exerts a constant force of 2.10×106 N, one at an angle 16.0° west of north, and the other at an angle 16.0° east of north, as they pull the tanker a distance 0.680 km toward the north. What is the total work done by the two tugboats on the supertanker? Express your answer in joules, to three significant figures.

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 4.8× 104 kg, and the force causes its speed to change from 7700 to 5600m/s. (a) What is the work done by the force? (b) If the asteroid slows down over a distance of 1.4× 106 m determine the magnitude of the force.

A mover is lowering a crate which has a mass of 37.6 kg at a constant speed of 4.65 m/s. How much work (include the appropriate sign) does the tension in the cable do as the crate is lowered a distance of 22.7 m?

An airplane flies 200 m at a constant altitude in a direction 30.0° south of east. A wind is blowing that results in a net horizontal force on the plane due to the air of 3.0 N in a direction 30.0° north of west. How much work is done on the plane by the air?

A crate of mass 9.4 kg is pulled up a rough incline with an initial speed of 1.44 m/s. The pulling force is 104 N parallel to the incline, which makes an angle of 19.5° with the horizontal. The coefficient of kinetic friction is 0.400, and the crate is pulled 4.92 m. (a) How much work is done by the gravitational force on the crate? -152.37 J (b) Determine the increase in internal energy of the crate-incline system owing to friction. 471.0 X A careful free-body diagram of the crate may help you determine the magnitude of the friction force. J (c) How much work is done by the 104-N force on the crate? 511.68 J (d) What is the change in kinetic energy of the crate? 184.95 J (e) What is the speed of the crate after being pulled 4.92 m? 6.47 m/s

In the figure, a block slides down an incline. As it moves from point A to point B, which are 4.1 m apart, force F acts on the block, with magnitude 4.8 N and directed down the incline. The magnitude of the frictional force acting on the block is 13 N. If the kinetic energy of the block increases by 44 J between A and B, how much work is done on the block by the gravitational force as the block moves from A to B? Number Units