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 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?

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?

You pull a wagon across a floor with a force of 25 N over a distance of 30 meters.The handle of the wagon you are pulling on has an angle of 35 degrees above the horizontal.a) How much work do you do on the wagon?You now let your wagon roll down a frictionless slope from rest. The height of the slope is 5 meters, and the angle of the slope with the horizontal is 10 degrees. Assume the mass of the wagon is 10 kg.b) What is the final velocity of the suitcase (hint: use the work-energy theorem).

Total work with vectors

A block of mass 15.0 kg is pulled up from rest on a rough incline. The pulling force F =100.0 N that makes a 5.00° angle with the incline and the incline itself makes an angle of 10.0° with the horizontal. The coefficient of kinetic friction is 0.300, and the block is pulled 3.00 m on the incline. (a) How much work is done by the gravitational force on the block? (b) How much work is done by the 100.0-N force on the block? (c) How much work is done by the normal force? (d) Calculate work done by the friction force on the block. (e) What is the speed of the block after being pulled 3.00 m? F 5° 10°

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.

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)

Juan, Jose, and Jokoy are pushing a table with a constant 475 N force. Juan is pushing the table eastward while Jose is pushing northward. Jokoy is pushing in the 76° north of east direction. If the table moves 6 meters along east, how many joules of total work are exerted by the three men. Input the value only; do not include the units.

A rope is tied to a box and used to pull the box 1.5 m along a horizontal floor. The rope makes an angle of 30° with the horizontal and has a tension of 5 N. The opposing friction force between the box and the floor is 1 N. How much work does each of the following forces do on the box: (a) gravity, (b) the tension in the rope, (c) friction, and (d) the normal force? What is the total work done on the box?