Since the direction of force is opposite to the direction of motion thus the work done will be negative.
The magnitude of the work done is given by the change in energy
Hence option 2 is correct
The force an ideal spring exerts on an object is given by Es=-la, where x measures...
A spring is found to not obey Hooke's law. It exerts a restoring force F(x) =-ax- 2 N if it stretched or compressed, where α = 60 N/m and β 18.0 Nm2/3. The mass of the spring is negligible. (a) Calculate the work function W(x) for the spring. Let U=0 when x=0. (b) An object of mass 0.900 kg on a horizontal surface is attached to this spring. The surface provides a friction force that is dependent on distance Fr(x)2x2...
A 2.5-kg object attached to an ideal spring with a force constant (spring constant) of 15 N/m oscillates on a horizontal, frictionless track. At time t = 0.00 s, the cart is released from rest at position x = 8 cm from the equilibrium position. (a) What is the frequency of the oscillations of the object? (b) Determine the maximum speed of the cart. (c) Find the maximum acceleration of the mass (d) How much total energy does this oscillating...
A 25 kg object attached to an ideal spring with a force constant spring constant) of 15 N/m oscillates on a horizontal, frictionless track. At timet0.00 s the cart is released from restat position x3 cm from the equilibrium position le) Express the displacement as a function of time using a cosine function Note: If you do not know how to write it using the editor, please submit your answer as part of your work-up document Arwer
A 0.39-kg block on a horizontal frictionless surface is attached to an ideal spring whose force constant (spring constant) is 540 N / m. The block is pulled from its equilibrium position at x=0.000 m to a displacement x=+0.080 m and is released from rest. The block then executes simple harmonic motion along the horizontal x-axis. When the block's position is x=0.057 m, its kinetic energy is closest toA. 1.0 J.B. 0.85 JC. 0.80 JD. 0.95 J.E. 1.1 J.
Problem 7.67 Part A How much work is done by the force as the object moves from忑 0 to忑= 2.0 m? The force shown in the figure(Figure 1) acts on an object that moves along the axis Express your answer using two significant figures Submit My Answers Give Up Incorrect; Iry Again, 4 attempts remaining Part B Figure 1 of 1 How much work is done by the force as the object moves from x = 1.0 m to x...
An object of mass m = 1.70 kg is travelling on a horizontal surface. The coefficient of kinetic friction between the object and the surface is muk = 0.200. The object has speed v = 1 .35 m/s when it reaches x = 0 and encounters a spring. The object compresses the spring a distance d/2, stops instantaneously, and then travels back to x = 0 where it stops completely. Eventually you will be asked to find the spring constant,...
A 65.0-g object connected to a spring with a force constant of 40.0 N/m oscillates with an amplitude of 5.00 cm on a frictionless, horizontal surface (a) Find the total energy of the system. We know the spring constant and the maximum displacement of the object. What is the value of the spring potential energy and the kinetic energy at that instant? mJ (b) Find the speed of the object when its position is 1.10 cm. (Let 0 cm be...
A object of mass 3.00 kg is subject to a force Fx that varies with position as in the figure below. (a) Find the work done by the force on the object as it moves from x = 0 to x = 5.00 m. (b) Find the work done by the force on the object as it moves from x = 5.00 m to x = 11.0 m. (c) Find the work done by the force on the object as it moves from...
SPRING +0000000 x=0 +AX 6.5 When a spring is stretched or compressed from its equilibrium position by an amount Ar it exerts a force given by F =-kar. The - sign indicates that this force is in the opposite direction of Ar and is oriented to restore the spring to its e k is a proportionality constant called the spring constant or the force constant and is related to the stiffness of the spring. A. Draw a force vs displacement...
A object of mass 3.00 kg is subject to a force Fx that varies with position as in the figure below.(a) Find the work done by the force on the object as it moves from x = 0 to x = 4.00 m=___________J(b) Find the work done by the force on the object as it moves from x = 5.00 m to x = 9.00 m=___________J(c) Find the work done by the force on the object as it moves from...