A 261 g weight attached to a horizontal spring moves in simple harmonic motion with a period of 0.300 s. The total mechanical energy of the spring-mass system is 6.06 J. (a) What is the maximum speed of the weight (in m/s)? m/s (b) What is the spring constant (in N/m)? N/m (c) What is the amplitude of the motion (in m)? m

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?

A horizontal spring is lying on a frictionless surface. One end of the spring is attaches to a wall while the other end is connected to a movable object. The spring and object are compressed by 0.058 m, released from rest, and subsequently oscillate back and forth with an angular frequency of 11.0 rad/s. What is the speed of the object at the instant when the spring is stretched by 0.031 m relative to its unstrained length?

Two simple harmonic oscillators H1 and H2 of masses on a spring have masses m1 and m2, spring constants k1 and k2, and amplitudes A1 and A2. It is found that the total mechanical energy of H2 equals 4H1. Which one of the following will NOT give this relationship? mị = m2 ; 4k1 = k2 ; A1 = A2 4m1 = m2 ; 4k1 = k2 ; Aı = A2 mi = m2 ; 2kı = k2 ; (v2) A1 = A2 4m1 = m2 ; kı = k2 ; A1 = A2

A 250-g object connected to a light spring with a spring constant of 1.00 N/m sits on a frictionless horizontal table. Suddenly, the object is knocked by a force causing it to move towards right and then vibrate back and forth with an amplitude of 10.0 cm as shown in the drawing. In which positions does the oscillating mass possess maximum kinetic energy? wwwwww ww A 711 ☐ ☐ 1-3T/4 6 t-3T/4 -A 8 Position 2 Position 6. Position 5. 1-7/2 t-T/4 3 X 0 +A Position 3. 1. Maximum kinetic energy position Position 8. 2. No, not this position. Position 9. Position 4 Position 1 Position 7.

A spiral staircase winds up to the top of a 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 measured to be 6.10 s. What is the height of the tower? Number Units

A partridge of mass 5.01 kg is suspended from a pear tree by an ideal spring of negligible mass. When the partridge is pulled down 0.100 m below its equilibrium position and released, it vibrates with a period of 4.21 s. What is its speed as it passes through the equilibrium position? What is its speed as it passes through the equilibrium position? When it is moving upward, how much time is required for it to move from a point 0.050 m below its equilibrium position to a point 0.050 m above it?

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 50.0 g mass is attached to a horizontal spring with a spring constant of 15.0 N/m and released from rest with an amplitude of 30.0 cm. What is the velocity of the mass when it is halfway to the equilibrium position if the surface is frictionless?m/s

A 5.80 g toy cow is attached to a spring that has a spring constant of 4.60 N/m. The spring is stretched some unmeasured distance and released so that it begins to oscillate. The total energy of the system is measured as 0.828 J. What will the speed of the mass-spring system be when it is 18.2 cm away from its equilibrium position?