Question

A 4.00 kg mass on a frictionless horizontal surface is attached to a spring. The other...

A 4.00 kg mass on a frictionless horizontal surface is attached to a spring. The other end of the spring is fixed to a wall. The spring constant is 6.00 N/m. The mass is moved to the right, stretching the spring by 12.0 cm, and then released from rest.
a) Find the frequency of the motion in Hz.
b) Find the force when x = 6.00 cm.
c) Find the time when x = 6.00 cm.
d) Find the velocity when x = 6.00 cm.
e) What is the maximum speed?
f) What is the maximum acceleration?
g) What is the maximum potential energy?

Homework Answers

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
A mass attached to a spring oscillates back and forth on a horizontal frictionless surface. The...
A mass attached to a spring oscillates back and forth on a horizontal frictionless surface. The velocity of the mass is modeled by the function v = 2πfA cos(2πft) when at t = 0, x = 0. What is the magnitude of the velocity in cm/s at the equilibrium position for an amplitude of 4.5 cm and a frequency of 2.3 Hz?
A 3.30-kg object is attached to a spring and placed on frictionless, horizontal surface. A horizontal...
A 3.30-kg object is attached to a spring and placed on frictionless, horizontal surface. A horizontal force of 21.0 N is required to hold the object at rest when it is pulled 0.200 m from its equilibrium position (the origin of the x axis). The object is now released from rest from this stretched position, and it subsequently undergoes simple harmonic oscillations. (a) Find the force constant of the spring. N/m (b) Find the frequency of the oscillations. Hz (c)...
1.A 1.10 kg block sliding on a horizontal frictionless surface is attached to a horizontal spring...
1.A 1.10 kg block sliding on a horizontal frictionless surface is attached to a horizontal spring with k = 490 N/m. Let x be the displacement of the block from the position at which the spring is unstretched. At t = 0 the block passes through x = 0 with a speed of 3.40 m/s in the positive x direction. What are the (a) frequency and (b) amplitude of the block's motion 2.A vertical spring stretches 13 cm when a...
A 1.50-kg object is attached to a spring and placed on frictionless, horizontal surface. A horizontal...
A 1.50-kg object is attached to a spring and placed on frictionless, horizontal surface. A horizontal force of 28.0 N is required to hold the object at rest when it is pulled 0.200 m from its equilibrium position (the origin of the x axis). The object is now released from rest from this stretched position, and it subsequently undergoes simple harmonic oscillations. a.)Find the force constant of the spring. b.)Find the frequency of the oscillations. c.)Find the maximum speed of...
A 4.70-kg object on a frictionless horizontal surface is attached to one end of a horizontal...
A 4.70-kg object on a frictionless horizontal surface is attached to one end of a horizontal spring that has a force constant k = 570 N/m. The spring is stretched 9.30 cm from equilibrium and released. (a) What is the frequency of the motion? _____Hz (b) What is the period of the motion? ______s (c) What is the amplitude of the motion? ______cm (d) What is the maximum speed of the motion? ______m/s (e) What is the maximum acceleration of...
A 275 g mass rests on a frictionless surface and is attached to an unknown horizontal...
A 275 g mass rests on a frictionless surface and is attached to an unknown horizontal spring. It is stretched 2.50 cm and released, and the oscillation of the system has a frequency of 1.00 Hz. What is the force constant of the spring? (3) What is the mechanical energy of system? (3) Over 12.0 s, the amplitude decreases to 1.75 cm. What is the damping constant? (4) Bonus: what would the damping constant be if the system is critically...
A block of mass m = 0.53 kg attached to a spring with force constant 119...
A block of mass m = 0.53 kg attached to a spring with force constant 119 N/m is free to move on a frictionless, horizontal surface as in the figure below. The block is released from rest after the spring is stretched a distance A = 0.13 m. (Indicate the direction with the sign of your answer. Assume that the positive direction is to the right.) The left end of a horizontal spring is attached to a vertical wall, and...
Blocks A (mass 5.00 kg) and B (mass 7.00 kg) move on a frictionless, horizontal surface....
Blocks A (mass 5.00 kg) and B (mass 7.00 kg) move on a frictionless, horizontal surface. Initially, block B is at rest and block A is moving toward it at 4.00 m/s. The blocks are equipped with ideal spring bumpers. The collision is head-on, so all motion before and after the collision is along a straight line. Let +x be the direction of the initial motion of block A. Find the maximum energy stored in the spring bumpers. Find the...
A 11.1 kg object on a horizontal frictionless surface is attached to a spring with k...
A 11.1 kg object on a horizontal frictionless surface is attached to a spring with k = 1300 N/m. The object is displaced from equilibrium 55.0 cm horizontally and given an initial velocity of 12.0 m/s back toward the equilibrium position. What are (a) the motion's frequency, (b) the initial potential energy of the block-spring system, (c) the initial kinetic energy, and (d) the motion's amplitude?
A 195 g mass attached to a horizontal spring oscillates at a frequency of 2.50 Hz...
A 195 g mass attached to a horizontal spring oscillates at a frequency of 2.50 Hz . At t =0s, the mass is at x= 6.00 cm and has vx =? 40.0 cm/s . Determine:? the phase constant, the maximum speed, the maximum acceleration and the total energy
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT