The graph shows a plot of the x component of the spring force as a horizontal spring is stretched and compress through its equilibrium position. Recall that the spring force is Fspr,x = -k(x – xeq). 10 a. What is the equlibrium length of this spring? F, 0 -5 (N) b. What is the spring constant? -10 -15 0.3 0.4 0.5 0.6 0.7 0.8 0.9 spring length (m) c. What is the change in elastic potential energy as this spring, initially compressed to a length of 0.3 meters, is stretched to 0.9 meters? The answer is not 4.5 joules.

An ideal spring hangs from the ceiling. A 2.15 kg mass is hung from the spring, stretching the spring a distance d = 0.0835 m from its original length when it reaches equilibrium. The mass is then lifted up a distance L = 0.0255 m from the equilibrium position and released. What is the kinetic energy K of the mass at the instant it passes back through the equilibrium position? K = J d Equilibrium position www. 14 L Co

During an experiment, a ball was thrown from the top of a building, 15.0 m in height from a spring. The spring was compressed by 2.75 meters. Take 185 N/m as spring constant. a. Determine the ball’s mass. b. If the spring was compressed to 1.25 m, determine the speed of the ball.

An automobile having a mass of 1000 kg is driven into a brick wall in a safety test. The bumper behaves like a spring with constant 5.95  106 N/m and is compressed 2.44 cm as the car is brought to rest. What was the speed of the car before impact, assuming no energy is lost in the collision with the wall? m/s

A force of magnitude 720.0 N stretches a certain spring by 0.150 m from its equilibrium position. a)What is the force constant of this spring? b)How much elastic potential energy is stored in the spring when it is stretched 0.390 m from its equilibrium position. c)How much elastic potential energy is stored in the spring when it is compressed by 0.390 m from its equilibrium position. d)How much work was done in stretching the spring by the original 0.150 m?

16. A force of 5.0 N acts on a 15 kg body initially at rest. Compute the work done by the force in (a) the first, (b) the second, and (c) the third seconds and (d) the instantaneous power due to the force at the end of the third second. 17. What is the spring constant of a spring that stores 25 I

3kg mass is suspended from a spring It oscillates with period=6 seconds when it is pulled 0.1m below equilibrium 1. What is the time taken to move from 0.035 m below equilibrium position to 0.035 m above it when moving upwards 2. What is the total mechanical energy of this motion? 3. The motion of the mass is stopped, and the mass is removed. How much does the spring shorten?

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4. MA 0.065 kg object is attracted to a spring with a spring constant of 100.0 N/m. The other end of the spring is attached to a wall in such a way that it rests on a frictionless horizontal surface. A force is exerted on the spring so that it experiences simple harmonic motion. a. How much work would be done on this spring to compress it by 12.0 cm? Given: k b. Assuming that there is no friction, describe the energy conversions that take place, being sure to explain the location of maximum elastic potential energy and maximum kinetic. c. What will be the speed of the object be when it is passing the point of being compressed by only 6.5 cm?

A block of mass 0.688 kilograms resting on a smooth horizontal surface is attached to a spring with a spring constant of 33.4 newtons per meter. The block is pulled horizontally 14.1 centimeters from its equilibrium position and released. a. What is the total mechanical energy of the system? Include units in your answer. b. What is the speed of the block when it is 9.0 centimeters from its equilibrium position? Include units in your answer. c. One end of the spring is then attached to a support so it hangs vertically, and the block is suspended from it and lowered into a resting position. How far does the block stretch the spring? Include units in your answer. d. As shown below, the block is then lifted 14.1 centimeters (labeled d in the figure) and released. What is the speed of the block when it is 9.0 centimeters from its equilibrium position (labeled y in the figure)? Include units in your answer. More information. Hint: Since the vertical position of the block is changing,…