A force F(x) = (-5.0x² + 7.0x) N acts on a particle as it moves along the positive x-axis. (a) How much work does the force do on the particle as it moves from x 2.0 to x = 5.0 m?
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- 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 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) A stationary bowler is getting ready to throw the bowling ball. She holds a 6.0 kg bowling ball 1.4 m above the ground for 2.0 s. How much work is done on the ball by the bowler? b) A pencil case is pushed eastward with a force of 11 N. Over what distance did the force act on the pencil case if it did 14 J of work on it?
- 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?An airplane flies 140 km at a constant altitude in a direction north of east. A wind is blowing that results in a net horizontal force on the plane due to the air of 2.40 kN in a direction 10.0° south of west. How much work is done by the air on the plane? Group of answer choices: A) -1.15 × 108 J B) -3.15 × 108 J C) 0.985 × 108 J D) -257 × 108 J E) 257 × 108 JProblem 6: Two forces act on an object. F₁ = (10î – 7ĵ) N and F₂ = −15î N. = The object travels from ₁ = +4 m, both on the x axis. -4 m to ₂: = a) What is the work done by F₁? b) What is the work done by F₂? c) What is the net work done? Problem 7: A strap on a suitcase is angled at 25° above horizontal and is used to pull the suitcase a distance of 250 m through an airport. The weight of the suitcase is 50 N. The resistive force of friction on the suitcase is 14 N. The strap applies 20 N of force to the suitcase. a) How much work does gravity do on the suitcase? b) How much work is done on the suitcase by the strap? c) How much work does friction do on the suitcase? d) The suitcase began at rest, how fast is it moving after traveling this distance? Problem 8: A block of mass m = 500 g slides down an incline that has an inclination angle of 30° with the horizontal. The inclined surface has coefficient of kinetic friction µK = 0.4. The block moves 3 m down the incline. a) How much work…
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