A particle of mass 2.0 kg moves under the influence of the force F(x) = (-5x² = 7x) N. Suppose a frictional force also acts on the particle. If the particle's speed when it starts at x = -4.0 m is 0.0 m/s and when it arrives at x = -4.0 m is 9.0 m/s, how much work is done on it by the frictional force between x = -4.0 m and x = 4.0 m?
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- 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?A child exerts a horizontal 15 N force on a 10 kg box to push it 7 m across a floor that has a coefficient of kinetic friction of 0.1 with the box. (a) How much work does the child do on the box? (b) How much work does gravity do on the box? (c) How much work does the normal force do on the box? (d) How much work does the force of kinetic friction do on the box? (e) What is the total work done on the box? (f) How much kinetic energy has the box gained during this process? (g) If the box was initially at rest, then how fast is the box moving at the end of this process?A variable force F(x) = ax, in which a = 3.0 N/m, acts on an object. Calculate the work done by this force as the object travels from x1 = 1.5 m to x2 = 3.4 m, in joules.
- A helicopter lifts a 85 kg astronaut 13 m vertically from the ocean by means of a cable. The acceleration of the astronaut is g/10. How much work is done on the astronaut by (a) the force from the helicopter and (b) the gravitational force on her? Just before she reaches the helicopter, what are her (c) kinetic energy and (d) speed?A block is acted on by a force that varies as (1.9×104N/m)x for 0≤x≤0.21m, and then remains constant at 3990 N for larger x. How much work does the force do on the block in moving it from x = 0 to x = 0.30 m? How much work does the force do on the block in moving it from x = 0.10 m to x = 0.40 m?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 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°The graph (attached) 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 2.75 N, while the horizontal spacing between adjacent grid lines is 1.0 m. What is the work done by the force, in joules, as the object moves from x=1m to x=8m?A block of mass 8 kg is pushed 5 m along a horizontal frictionless surface by a horizontal force of 40 N . The block starts from rest. (a) How much work is done? (b) What is the kinetic energy of the block after traveling 5 m?
- 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 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?