A 0.40-kg mass is attached to a spring with a force constant of  k = 387 N/m,  and the mass–spring system is set into oscillation with an amplitude of  A = 1.8 cm.  Determine the following. (a) mechanical energy of the system J(b) maximum speed of the oscillating mass m/s(c) magnitude of the maximum acceleration of the oscillating mass m/s2

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

k=5.00 N/m Point 1 Spring relaxed x=0 Point 2 mi | V₁x=0 X1= 0.100 m /// 1 m=0.200 kg* X₂=0.080 m 2x immm 5. A cart with mass m=0.2 kg sits on a frictionless horizontal track. The cart is attached to a spring which is fixed to the end of the track. The spring has spring constant k = 5 N/m. The cart starts at x=0 cm, where the spring is at the rest length. You pull on the cart, stretching the spring 10 cm beyond the rest length (x = 10 cm), then release the cart from rest. The spring pulls the cart back towards the original equilibrium position. a.) What was the energy of the system just before the cart is released (Point 1 picture)? b.) What is the speed of the cart at x = 8 cm (Point 2 picture)? c.) What is the speed of the cart when it passes through the equilibrium point (x=0)?

A mass resting on a horizontal, frictionless surface is attached to one end of a spring; the other end is fixed to a wall. It takes 3.1 J of work to compress the spring by 0.15 m . If the spring is compressed, and the mass is released from rest, it experiences a maximum acceleration of 12 m/s2. Find the value of the spring constant. Find the value of the mass.

A mass of 0.3 kg hangs motionless from a vertical spring whose length is 0.75 m and whose unstretched length is 0.55 m. Next the mass is pulled down to where the spring has a length of 1.05 m and given an initial speed upwards of 1.7 m/s. What is the maximum length of the spring during the motion that follows? maximum length= Hint: the conceptually-simplest approach is to track the changes in kinetic, spring-potential, and gravitational-potential energies; the mathematically-simplest approach is to observe that the sole effect of gravitation is to lower the spring's equilibrium position, then track just the kinetic and spring-potential (relative to the lower equilibrium) energies.

A 1.90 kg block slides on a rough horizontal surface. The block hits a spring with a speed of 2.00 m/s and compresses it a distance of 11.0 cm before coming to rest. If the coefficient of kinetic friction between the block and the surface is 0.460, what is the force constant of the spring?

A 50.0 cm long spring with spring constant 224 N/m has a mass 1.4 kg attached to it, and it can oscillate on a horizontal table without any friction. The spring is pulled by a distance 7 cm from the resting position and released. What is the kinetic energy (in joules) of the mass at the instant when the length of the spring is 51 cm. Ans: 0.5376

One end of a spring is attached to a fixed wall while a 0.25-kg block is attached to the other movable end. The spring is stretched 0.7-m horizontally, then released from rest. Calculate its speed when it goes back to equilibrium if the spring's force constant is k = 5 N/m.