Question

A mass and spring system has mass m = 1.2 kg. The spring constant is unknown....

A mass and spring system has mass m = 1.2 kg. The spring constant is unknown. Also, neglect friction for this system. A) When the system is compressed by 1.00 cm and let go the frequency of the periodic motion is 0.75 Hz. What is the value of the spring constant k? B) What is the maximum speed vmax of the motion? C) What is the total energy TE = PE + KE in the system?

Homework Answers

Answer #1

A.

f = 0.75 Hz

m = 1.2 kg

B.

According to Law of conservation of energy

C.

When PE is maximum KE is zero and when KE is maximum PE is zero and

If PE = maximum, then KE = 0

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Consider a mass-spring system. The spring has constant k=30N/m and the mass m=3kg. The mass oscillates...
Consider a mass-spring system. The spring has constant k=30N/m and the mass m=3kg. The mass oscillates with amplitude of 10cm. What is the frequency of oscillation? What is the displacement at time t=0? When is the first time for the mass to be at maximum displacement? (t=?) What is the maximum acceleration felt by the mass? Where in the motion does this occur? What is the minimum acceleration felt by the mass? Where in the motion does this occur? What...
A spring-mass system consists of a 0.5 kg mass attached to a spring with a force...
A spring-mass system consists of a 0.5 kg mass attached to a spring with a force constant of k = 8 N/m. You may neglect the mass of the spring. The system undergoes simple harmonic motion with an amplitude of 5 cm. Calculate the following: 1. The period T of the motion 2. The maximum speed Vmax 3. The speed of the object when it is at x = 3.5 cm from the equilibrium position. 4. The total energy E...
0.2 kg mass gets pushed down against a vertical spring with spring constant k=1000N/m. when the...
0.2 kg mass gets pushed down against a vertical spring with spring constant k=1000N/m. when the spring is compressed by 10 cm the object is let go. what is the speed of the object the second its let go from the spring. (i.e. the spring is at its equilibrium length) answer in m/s
Part A A block of unknown mass is attached to a spring with a spring constant...
Part A A block of unknown mass is attached to a spring with a spring constant of 5.50 N/m and undergoes simple harmonic motion with an amplitude of 10.0 cm. When the block is halfway between its equilibrium position and the end point, its speed is measured to be 28.0 cm/s. (a) Calculate the mass of the block. ________kg (b) Calculate the period of the motion. ________s (c) Calculate the maximum acceleration of the block. ________m/s2 Part B A block-spring...
A block of mass m = 4.5 kg is attached to a spring with spring constant...
A block of mass m = 4.5 kg is attached to a spring with spring constant k = 610 N/m. It is initially at rest on an inclined plane that is at an angle of θ = 29° with respect to the horizontal, and the coefficient of kinetic friction between the block and the plane is μk = 0.13. In the initial position, where the spring is compressed by a distance of d = 0.19 m, the mass is at...
A 6.5-kg mass is attached to an ideal 750-N/m spring. If the system undergoes simple harmonic...
A 6.5-kg mass is attached to an ideal 750-N/m spring. If the system undergoes simple harmonic motion, what are the frequency, angular frequency, and period of the motion? The frequency, f = The angular frequency, ω = The period, T =   If the total mechanical energy of the system is 72 J, what are the amplitude, maximum speed and maximum acceleration of the motion? The amplitude, A =   The maximum speed, vmax = The maximum acceleration, amax =
A 3.00 kg mass is pushed against a spring and released. If the spring constant of...
A 3.00 kg mass is pushed against a spring and released. If the spring constant of the spring is 7500 N/m and the spring is compressed 10.0 cm. (a) What is the energy stored in the compressed spring? (b) What is the maximum speed ?0 of the mass? (c) The mass then travels across a rough surface and then up a smooth ramp. The speed at the beginning of the ramp is ?1 = 4.00 m/s. What is the work...
a 0.2 kg mass is pushed down against a vertical spring with a spring constant k...
a 0.2 kg mass is pushed down against a vertical spring with a spring constant k = 1000 N/m. when the spring is compressed by 10 cm, the object is let go. what vertical height above the release point will the obhect reach? give answer in meters
A horizontal spring-mass system has low friction, spring stiffness 200 N/m, and mass 0.5 kg. The...
A horizontal spring-mass system has low friction, spring stiffness 200 N/m, and mass 0.5 kg. The system is released with an initial compression of the spring of 9 cm and an initial speed of the mass of 3 m/s. (a) What is the maximum stretch during the motion? _ m (b) What is the maximum speed during the motion?   _m/s (c) Now suppose that there is energy dissipation of 0.02 J per cycle of the spring-mass system. What is the...
A 5 kg mass is attached to a spring. The mass is compressed fully to the...
A 5 kg mass is attached to a spring. The mass is compressed fully to the left and released from rest. The mass displays simple harmonic motion with a period of 3 s and a maximum speed of 0.4 m/s. Assume the spring is massless and neglect friction and air resistance. a. Determine ω b. What is the amplitude of the oscillations? c. What is the initial phase (in radians) of the oscillator? d. What is the spring constant?