A 1.5kg mass attached to a spring that moves 7cm from the equilibrium position. It is...

Question

Question

A 1.5kg mass attached to a spring that moves 7cm from the equilibrium position. It is released and then oscillates with a frequency of 5 Hz.

A) What is the energy of the movement when it passes through the equilibrium point?

b) What is the speed of the dough when it is 3cm from the equilibrium position?

c) What is the maximum acceleration of the system?

Answer 1

Answer #1

angular frequency of oscillation is

amplitude is A = 7 cm = 0.07 m

A) The total energy is

b)

when x = 3 cm

speed is

when x = 3 cm, velocity is

speed is the magnitude of velocity

s = 1.99 m/s

c) maximum acceleration is

Answer 2

Similar Homework Help Questions

A 2.5-kg object attached to an ideal spring with a force constant (spring constant) of 15...

A 2.5-kg object attached to an ideal spring with a force constant (spring constant) of 15 N/m oscillates on a horizontal, frictionless track. At time t = 0.00 s, the cart is released from rest at position x = 8 cm from the equilibrium position. (a) What is the frequency of the oscillations of the object? (b) Determine the maximum speed of the cart. (c) Find the maximum acceleration of the mass (d) How much total energy does this oscillating...
A 255 g mass attached to a horizontal spring oscillates at a frequency of 5.50 Hz...

A 255 g mass attached to a horizontal spring oscillates at a frequency of 5.50 Hz . At t =0s, the mass is at x= 4.40 cm and has vx =− 34.0 cm/s . Determine: Maximum speed. Maximum Acceleration. Total Energy. Position at t=2.20s
A 260 g mass attached to a horizontal spring oscillates at a frequency of 4.90 Hz...

A 260 g mass attached to a horizontal spring oscillates at a frequency of 4.90 Hz . At t =0s, the mass is at x= 4.00 cm and has vx =− 18.0 cm/s . Determine: The maximum speed, the maximum acceleration, the total energy, and the position at t=.400s

A 190 g mass attached to a horizontal spring oscillates at a frequency of 1.30 Hz...

A 190 g mass attached to a horizontal spring oscillates at a frequency of 1.30 Hz . At t =0s, the mass is at x= 7.00 cm and has vx =− 38.0 cm/s . Determine: A) The maximum speed B) The maximum acceleration C) The total energy. D) The position at t= 3.40 s
A 265 g mass attached to a horizontal spring oscillates at a frequency of 5.20 Hz...

A 265 g mass attached to a horizontal spring oscillates at a frequency of 5.20 Hz . At t =0s, the mass is at x= 4.80 cm and has vx =− 24.0 cm/s . Determine: a) The phase constant b) the maximum speed c) the maximum acceleration d) the total energy e) the position at t= 0.40 s
A 220 g mass attached to a horizontal spring oscillates at a frequency of 3.10 Hz...

A 220 g mass attached to a horizontal spring oscillates at a frequency of 3.10 Hz . At t =0s, the mass is at x= 5.00 cm and has Vx =− 17.0 cm/s . Part E) The maximum speed. Part F) The maximum acceleration. Part G) The total energy. Part H) The position at t= 5.40 s .

Q2. A mass of 300 g is attached to a spring hanging from the ceiling. The...

Q2. A mass of 300 g is attached to a spring hanging from the ceiling. The spring stretches 20 cm when the mass is added. What is the spring constant of the spring? If the mass is now pulled 8 cm below it’s new equilibrium position, what will be the frequency of the oscillation What is the maximum speed of the mass? At what position will it have a speed that is one third of the maximum speed? What is...
A block with a mass of 0.26 kg is attached to a horizontal spring. The block...

A block with a mass of 0.26 kg is attached to a horizontal spring. The block is pulled back from its equilibrium position until the spring exerts a force of 1.2 N on the block. When the block is released, it oscillates with a frequency of 1.2 Hz. How far was the block pulled back before being released?
A 750-gram block is attached to a spring as shown in the following diagram. The system is placed on a horizontal surfac...

A 750-gram block is attached to a spring as shown in the following diagram. The system is placed on a horizontal surface. The block is released at a distance of 0.15 m from the equilibrium position at Xo. It oscillates back and forth with a frequency of 0.25 Hz. Assume that the surface is frictionless. The oscillation is an SHM. (a) Find the spring constant. (b) Find the elastic P.E. in the system when the block is at the maximum...

A massless spring hangs from the ceiling with a small object attached to its lower end....

A massless spring hangs from the ceiling with a small object attached to its lower end. The object is initially held at rest in a position yi such that the spring is at its rest length. The object is then released from yi and oscillates up and down, with its lowest position being 14 cm below yi. (a) What is the frequency of the oscillation? (b) What is the speed of the object when it is 12 cm below the...