A spring is resting vertically on a table. A small box is dropped onto the top of the spring and compresses it. Suppose the spring has a spring constant of 500 N/m and the box has a mass of 1.9 kg. The speed of the box just before it makes contact with the spring is 0.49 m/s. (a) Determine the magnitude of the spring's displacement at an instant when the acceleration of the box is zero. (b) What is the magnitude of the spring's displacement when the spring is fully compressed?

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).

SSN 11. When a 0.34-kg block is suspended on a vertical spring, it causes it to stretch 3.20 cm. If the block is now pulled 7.80 cm below its equilibrium position and released, what is the speed of the block when it is 1.40 cm above the equilibrium position? m/s 160 ssf60 ssf60 ss of the f60 ssf60* 0 ssf60 ss 09J$$

A block of mass (m = 12 kg) is attached at its top to a string that goes up and loops over a pulley. The end of the string is then attached to a second block of mass (m = 16 kg) that hangs freely. The bottom of the 12 kg block is attached to a spring with spring constant (k = 120 N/m). This spring is then attached to the floor. a) What is the stretch in the spring from its relaxed position? 6) If the spring was detached from the 12 kg block, what would the acceleration of the two blocks be?

A 50 g mass on the end of a horizontal spring( k=80 N/m) is moving at a speed of 2m/s when 3.4cm from equilibrium. What is the maximum acceleration experienced by the mass?

A 1.00-kg mass is attached to a spring hanging vertically and hangs at rest in the equilibrium position. The spring constant of the spring is 1.00 N/cm. The mass is pulled downward 2.00 cm and released. What is the speed of the mass when it is 1.00 cm above the point from which it was released?   0.0443 m/s     1.73 m/s     1.67 m/s     0.0201 m/s     The mass will not reach the height specified.

A 205 g object is attached to a spring that has a force constant of 74.5 N/m. The object is pulled 6.25 cm to the right of equilibrium and released from rest to slide on a horizontal, frictionless table. Calculate the maximum speed Umax of the object. Find the locations of the object when its velocity is one-third of the maximum speed. Treat the equilibrium position as zero, positions to the right as positive, and positions to the left as negative. position: Umax = cm position: m/s cm

A bullet with mass 4.95 g is fired horizontally into a 1.972-kg block attached to a horizontal spring. The spring has a constant 5.71 x 102 N/m and reaches a maximum compression of 6.44 cm. (a) Find the initial speed of the bullet-block system. m/s (b) Find the speed of the bullet. m/s

A 0.650 kgkg block is attached to a spring with spring constant 14.0 N/mN/m. While the block is sitting at rest, a student hits it with a hammer and almost instantaneously gives it a speed of 46.0 cm/scm/s. What is the block's speed at the point where x=0.20 A?