A 0.92 kg mass is resting on a frictionless flat plane and is attached to a spring with spring constant k= 350 N/m. If you pull the mass back by 35.9 cm and then let go what is the maximum speed the mass obtains?

A spring 1.50 m long with force constant 442 N/m is hung from the ceiling of an elevator, and a block of mass 13.3 kg is attached to the bottom of the spring. (a) By how much is the spring stretched when the block is slowly lowered to its equilibrium point? (Enter the magnitude only.) m(b) If the elevator subsequently accelerates upward at 1.56 m/s2, what is the position of the block, taking the equilibrium position found in part (a) as y = 0 and upwards as the positive y-direction. (Indicate the direction with the sign of your answer.) ?m(c) If the elevator cable snaps during the acceleration, describe the subsequent motion of the block relative to the freely falling elevator. What is the amplitude of its motion? ?m

A wheeled cart of mass M is attached to the wall by a spring of spring constant k, as illustrated. The cart is pulled to the left from its equilibrium position, stretching the spring, and then it is released. a) At what point is the magnitude of the acceleration of the cart at its maximum?  When the cart is halfway back to its equilibrium position. When the cart arrives back at its equilibrium position. The instant after it is released. The acceleration is constant. b) The cart passes its equilibrium position and starts compressing the spring as it continues to move to the right. When it reaches its point of maximum compression of the spring and momentarily comes to rest, what is the direction of its acceleration?  To the right, to the left, or The instantaneous acceleration is zero.

An instrument to measure the acceleration of gravity on Mars is constructed of a spring from which is suspended a mass of 0.75 kg. At a place on earth where the local acceleration of gravity is 9.81 m/s2, the spring extends 8.31 cm. When the instrument package is landed onMars, it radios the information that the spring is extended 0.75 cm. What is the Martian acceleration of gravity?

A horizontal spring on a frictionless surface with a spring constant of 50 N/m is compressed 0.4 m away from equilibrium and it is held at rest. A 5 kg mass is attached at the end of the spring. The spring-mass system is released from rest. Calculate the velocity of the mass when it is halfway back to its equilibrium position (0.2 m away).

A simple pendulum is made from a 0.666-m-long string and a small ball attached to its free end. After the ball is released pulled to one side through a small angle and then released from rest. After the ball is released, how much time elapses before it attains its greatest speed?

Problem 69. The light rod is pivoted at O and carries the 8 lb and 10 lb particles. If the rod is released from rest at 0 = 30° and swings in the vertical plane, calculate (a) The velocity v of the 8lb particle just before it hits the spring and (b) The maximum compression x of the spring. Assume that x is small so that the position of the rod when the spring is compressed is essentially vertical. 10 lb 18" www k = 150 lb/in. 8 lb

A marble with a mass of 0.085 kg compresses a spring 5.1 cm. If the spring has a constant k = 150 N/m, what will the velocity of the marble be when it's released?

A spring has a spring constant of 10 N/cm and a spring potential energy of 6 J.  Determine the stretch of the spring in cm.  Rearrange U = 1/2 kx^2 and solve for x.

A block is hung from the end of a spring with spring constant 15 N/m and made to vibrate up and down with a maximum speed of 0.4m/s. The spring is held up by a force sensor, which is set to read 0N when the block is at rest on the end of the spring. The graph attached belwo shows the reading on the force sensor over time as the block vibrates. Plot the position-time and velocity-time graphs for the blocks as it vibrates. Explain with work and in words how you determined the shapes of these as well as their amplitudes.