A spring of force constant 3 N/m is compressed by 5.0 em from its equilibrium position....
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 spring with a spring constant of 780 N/m is stretched 8 cm from its equilibrium position and released. a) If the mass attached to the spring is 4 kg, what is the frequency of the oscillation? b) What is the maximum kinetic energy of the mass? c) What is the maximum speed?
A spring with a spring constant of 340 N/m is stretched 15 cm from its equilibrium position and released. a) If the mass attached to the spring is 2.7 kg, what is the frequency of the oscillation? b) What is the maximum kinetic energy of the mass? c) What is the maximum speed?
A Hooke's law spring constant k=7 220 N/m is compressed 12.0 cm from equilibrium using a 1 kg mass starts to move up on a frictionless inclined plane. Find the velocity immediately after it is released. Find its potential energy as it moves up 3 meters.
Suppose a force of 40 N is required to stretch and hold a spring 0.1 m from its equilibrium position. a. Assuming the spring obeys Hooke's law, find the spring constant k. b. How much work is required to compress the spring 0.2 m from its equilibrium position? c. How much work is required to stretch the spring 0.5 m from its equilibrium position? d. How much additional work is required to stretch the spring 0.1 m if it has...
3. A spring with a force constant of 7.0 N/m is hung vertically and then compressed by 0.125 m. If a 0.100 kg mass is attached to the spring while compressed by 0.125 m, what will the speed of the mass be when it is passing a point 0.175 m below the compression point (i.e. 0.050 m or 5.0 cm below the equilibrium point)?
5. A 2 kg mass is attached to a massless spring of force constant k25 N/m. The spring is stretched 0,40 m from its equilibrium position and released. a. Find the total energy and frequency of oscillation according to classical calculations. b. Determine the quantum number, n, for the system according to quantum calculations. c. How much energy would be carried away in a l-quantum change?
3) Consider Hooke's Law: The force required to keep a spring in a compressed or stretched position x units from the spring's equilibrium position is F(x)-kr Calculate the work required, in joules, to stretch a spring 0.4 meters beyond its equilibrium position for each of the following scenarios. a) The spring requires 50 Newtons of force to hold it 0.1 m from its equilibrium position. b) The spring requires 2 Joules of work to stretch the spring 0.1 meter from...
A 1.2 kg object on a vertical spring with k+ 500 N/m is compressed from its equilibrium position. Once it is released, the mass is seen to have a velocity of 1.4 m/s at a position of 0.1 m from the equilibrium. a.) Determine the equation for this oscillation. b.) What is the maximum speed? c.) What is the maximum acceleration? d.) At what position from the equilibrium does the potential energy equal the kinetic energy?
A spring has a force constant k=500 N/m. What is the elastic potential energy stored in it when (a) it is stretched 4.00 cm from equilibrium, (b) it is compressed 3.00 cm from equilibrium, and (c) it is unstretched?