College Physics
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A force acting on an object moving along the x axis is given by Fx = (14x − 3.0x^2) N where x is in m. How much work is done by this force as the object moves from x = −1 m to x = +2 m?
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- Consider an object of mass m = 4 kg on a frictionless table. The object experiences a repulsive force F = a/x2 + b/x, where F is in newtons and x is the position of the object relative to the origin. Write an expression for the work done by the repulsive force on the object as it moves from an initial position of x1 to a final position of x2. If the object starts at a position of x1 = 8.5 m apart, how much work, in joules, is required by an external force to bring it to a position of x2 = 2.5 m apart when a = 19 and b = 11? If the object starts at rest at a position x3 = 1.3 m and is released, at what speed v, in meters per second, will the object be moving when it is at position x4 = 12.5 m?arrow_forwardA particle moves in the x-axis from x = 12.8 m to x = 23.7 m under the influence of a force where F is expressed in newtons and x is expressed in meters. Use numerical integration to determine the total work done by the force during the displacement. In the networks there are Various calculators for integrals are available.arrow_forwardTwo 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.arrow_forward
- 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 3.5× 104 kg, and the force causes its speed to change from 7100 to 5400m/s. (a) What is the work done by the force? (b) If the asteroid slows down over a distance of 1.8× 106 m determine the magnitude of the force. (a) Work = Choose your answer for sign in part (a) here Type your answer for part (a) here Choose your answer for units in part (a) here (b) F = Type your answer for part (b) here Choose your answer for units in part (b) herearrow_forwardA 1.3Kg particle moves from an initial position r1=2i-1j+2k m to a final position r2=6i-4j-4k m while a force F=4i-5j+4k N acts on it. What is the work done by the force on the particle? Answer in Joulesarrow_forwardA force acting on a particle moving in the xy plane is given by F = (2yî + x²ĵ), where F is in newtons and x and y are in meters. The particle moves from the origin to a final position having coordinates x = 5.80 m and y = 5.80 m, as shown in the figure below. y (m) (x, y) x (m) (a) Calculate the work done by on the particle as it moves along the purple path (oⒸ). (b) Calculate the work done by F on the particle as it moves along the red path (0 BC) J O conservative (c) Is F conservative or nonconservative? nonconservativearrow_forward
- A 5.0 kg block moves in a straight line on a horizontal frictionless surface under the influence of a force that varies with position as shown in the figure. The scale of the figure's vertical axis is set by F = 6.00 N. How much work is done by the force as the block moves from the origin to x = 8.0 m? %3D F, 2 4 6 8 Position (m) Number i Units Force (N)arrow_forwardAn object moves in the x-y plane while acted on by the force F(x,y) = k1yi + k2xj, where k1 and k2 are constants with units of N/m. The object moves along a straight line path from Cartesian coordinate (x1, y1) to (x2, y2). Write an expression for the work done on the object by this force.arrow_forwardThe figure gives the acceleration of a 5.0 kg particle as an applied force moves it from rest along an x axis from x-0 tox-9.0 m. The scale of the figure's vertical axis is set by a,- 6.0 m/s². How much work has the force done on the particle when the particle reaches (a) x-4.0 m, (b)x - 7.0 m, and (c) x-9.0 m? What is the particle's speed and direction (give positive answer if the particle moves along x axis in positive direction and negative otherwise) of travel when it reaches (d) x - 4.0 m, (e) x - 7.0 m, and (f)x - 9.0 m? (a) Number i (b) Number i (c) Number i (d) Number i (e) Number i (f) Number i (₂8/) v Units Units Units Units Units Units 2 x (m) < <arrow_forward
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