A 0.56 kg metal sphere oscillates at the end of a vertical spring. As the spring stretches from 0.12 m to 0.23m (relative to its unstrained length), the speed of the sphere decreases from 5.9 to 4.5 m/s. What is the spring constant of the spring?

An ideal spring hangs from the ceiling. A 1.65 kg1.65 kg mass is hung from the spring, stretching the spring a distance ?=0.0925 md=0.0925 m from its original length when it reaches equilibrium. The mass is then lifted up a distance ?=0.0315 mL=0.0315 m from the equilibrium position and released. What is the kinetic energy of the mass at the instant it passes back through the equilibrium position?

КА kB = wwwwww.. Lo = ellele Spring A N/m ниши N/m LA The two springs A and B depicted above are made of different materials and have different spring constants kд and k. The springs happen to have the same natural length Lo = 0.1 m. m When a mass m = 0.46 kg is hung from spring A, spring A oscillates for a short time then settles down to a stretched length LA = 0.23 m. When an identical mass is hung from spring B, spring B settles down to a stretched length LB = 0.4 m. What are the spring constants kд and kg of these springs, measured in N/m? Lo Spring B LB mmmmmm

A spiral staircase wind up to the top of the tower in an old castle. To measure the height of the tower, a rope is attached to the top of the tower and hung down the center of the staircase. However, nothing is available with which to measure the length of the rope. Therefore, at the bottom of the rope a small object is attached so as to form a simple pendulum that just clears the floor. The period of the pendulum is measure to be 6.53 s. What is the height of the tower?

A 4 kg object is attached to a spring and is oscillating on a horizontal surface. When the object has a speed of 6 m/s, the spring is stretched 0.5 m. The spring constant is 400 N/m. Neglect friction. Find the object's speed when the spring is stretched 0.1 m.

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$$

An unstretched spring hanging to the ceiling is connected to an object. The object is released and drops a distance of 11.8m before it stops, and the mass of the object is 0.6kg. What is the spring constant? The mass of the string is irrelevant.

A horizontal spring is attached to a wall at one end and a mass of 5.3 kg on the other end. The spring is pulled 0.88 m from equilibrium and released from rest to oscillate frictionlessly with a period of 6.6 s. What is the magnitude of the maximum velocity reached by the mass? 0.84 m/s 36 m/s 0.97 m/s 5.8 m/s

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?

3) OK, once again we have a pendulum, this time of length 1.94 m, which you release from rest at an angle of 59.1 degrees to the vertical. What will be the speed of the pendulum at the instant it reaches an angle of 29.6 degrees above the vertical? Question 2 options:   6.88 m/s   3.68 m/s   4.30 m/s   2.23 m/s 4) This, the length of the pendulum is 2.17 m. Now you start with the pendulum at 10.2 degrees with respect to the vertical, but rather than releasing it from rest, you give it a push downward. It swings to the other side, and reaches a maximum angle of 34.0 degrees with respect to the vertical. What must have been the initial speed of the pendulum just after you pushed it?   2.70 m/s   0.82 m/s   3.51 m/s   2.57 m/s