The force acting on an object is given by Fx = a/x2. At x = 5.3 m, the force is known to point in the −x direction and have a magnitude of 22 N. Determine the potential energy associated with this force as a function of x, assuming we assign a reference value of -11 J at x = 2.3 m for the potential energy.
A force acting on an object moving along the x axis is given by Fx = (3.0 – x) N where x is in m. Calculate the work done by the force when the object moves from x = 1.0m to x = 3.0m.
A force acting on an object moving along the x axis is given by Fx = (14x - 3.0x2) 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? +12J +42J +32J +28J -12J
A 21 kg object is acted on by a conservative force given by F = -1.0x - 6.0x^2, with F in newtons and x in meters. Take the potential energy associated with the force to be zero when the object is at x = 0. (a) What is the potential energy of the system associated with the force when the object is at x = 1.7 m? (b) If the object has a velocity of 4.0 m/s in the negative...
A net force along the x-axis that has x-component Fx=−12.0N+(0.300N/m2)x2 is applied to a 3.80 kg object that is initially at the origin and moving in the -x-direction with a speed of 8.10 m/s . a.) What is the speed of the object when it reaches the point x = 7.70 m ?
A net force along the x-axis that has x-component Fx=−12.0N+(0.300N/m2)x2 is applied to a 4.50 kg object that is initially at the origin and moving in the -x-direction with a speed of 7.10 m/s . A-What is the speed of the object when it reaches the point x = 7.80 m ?
A net force along the x-axis that has x-component Fx=−12.0N+(0.300N/m2)x2 is applied to a 3.40 kg object that is initially at the origin and moving in the −x-direction with a speed of 8.60 m/s. What is the speed of the object when it reaches the point x = 9.00 m?
A 20 kg object is acted on by a conservative force given by F = −3.0x − 5.0x2, with F in newtons and x in meters. Take the potential energy associated with the force to be zero when the object is at x = 0. (a) What is the potential energy of the system associated with the force when the object is at x = 5.0 m? (b) If the object has a velocity of 2.0 m/s in the negative...
The force Fx acting on a 0.500-kg particle is shown as a function of x in (see below). (a) From the graph, calculate the work done by the force when the particle moves from x = 0.00 to the following values of x: -4.00, -3.00,-2.00, -1.00, +1.00, +2.00, +3.00, and +4.00 m. (b) If it starts with a velocity of 2.00 m/s in the +x direction, how far will the particle go in that direction before stopping?
An object moves in the positive x?direction under the influence of a force Fx. A graph of Fx versus vx is shown. (a) What is the instantaneous power on the object when its velocity is 22 m/s? (b) What is the instantaneous power on the object when its velocity is 48 m/s?
14)A particle with a mass of 1.80 kg is acted on by a force Fx acting in the x-direction. If the magnitude of the force varies in time as shown in the figure below, determine the final velocity of the particle in m/s) if it is initially at rest F. (N) a) 24 m/s b) 14.1 m/s c) 28 m/s d) 16 m/s e) 13.3 m/s