Question

A 0.500 kg mass is attached to a spring with spring constant 5.10 N/m and let...

A 0.500 kg mass is attached to a spring with spring constant 5.10 N/m and let fall. What is the point where it “stops”?  what is the amplitude of the resulting motion?

Homework Answers

Answer #1

When we attach a mass 0.5 kg and let it fall, then at first it will start to oscillate vertically and oscillations will stop after some time. The point at which it will stop, will be the point of maximum displacement. It can be calculated by applying the simple formula,

Here, F is the weight of object attached to the spring.

Therefore,

And the displacement will be,

(Taking negative sign for force since it is in downward direction and k is given equals to 5.1 N/m.)

This is the point at which it will stop. And same is the amplitude.

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 0.500-kg mass attached to an ideal massless spring with a spring constant of 12.5 N/m...
A 0.500-kg mass attached to an ideal massless spring with a spring constant of 12.5 N/m oscillates on a horizontal, frictionless surface. At time t = 0.00 s, the mass is located at x = –2.00 cm and is traveling in the positive x-direction with a speed of 8.00 cm/s. PART A: Find the angular frequency of the oscillations. Express your answer in rad/s. PART B: Determine the amplitude of the oscillations. Express your answer with the appropriate SI units....
A 0.5-kg mass is attached to a spring with spring constant 2.5 N/m. The spring experiences...
A 0.5-kg mass is attached to a spring with spring constant 2.5 N/m. The spring experiences friction, which acts as a force opposite and proportional to the velocity, with magnitude 2 N for every m/s of velocity. The spring is stretched 1 meter and then released. (a) Find a formula for the position of the mass as a function of time. (b) How much time does it take the mass to complete one oscillation (to pass the equilibrium point, bounce...
A 3.70 kg mass is attached to a spring with a spring constant of 4.06 N/m...
A 3.70 kg mass is attached to a spring with a spring constant of 4.06 N/m . It is initially lifted away from its equilibrium position by 0.200 m in the positive direction and released from rest. A) What is the angular frequency for this oscillator? B) What is the time period for one oscillation for this oscillator? C) Draw out the motion of the oscillator on the graph at the top of the page. ( D) What is the...
A 0.850 kg block is attached to a spring with spring constant 18.0 N/m . While...
A 0.850 kg block is attached to a spring with spring constant 18.0 N/m . While the block is sitting at rest, a student hits it with a hammer and almost instantaneously gives it a speed of 31.0 cm/s . What are The amplitude of the subsequent oscillations? The block's speed at the point where x= 0.150 A?
A 0.750 kg block is attached to a spring with spring constant 16 N/m . While...
A 0.750 kg block is attached to a spring with spring constant 16 N/m . While the block is sitting at rest, a student hits it with a hammer and almost instantaneously gives it a speed of 37 cm/s What is the amplitude of the subsequent oscillations? What is the block's speed at the point where x=0.25A?
1. A 0.45 kg object mass attached to a spring whose spring constant is 600 n/m...
1. A 0.45 kg object mass attached to a spring whose spring constant is 600 n/m executes simple harmonic motion. its maximum speed is 3.0 m/s the maximum acceleration is:
A block of unknown mass is attached to a spring with a spring constant of 7.00...
A block of unknown mass is attached to a spring with a spring constant of 7.00 N/m and undergoes simple harmonic motion with an amplitude of 11.5 cm. When the block is halfway between its equilibrium position and the end point, its speed is measured to be 25.0 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
A 1.35 kg block is attached to a spring with spring constant 18.0 N/m . While...
A 1.35 kg block is attached to a spring with spring constant 18.0 N/m . While the block is sitting at rest, a student hits it with a hammer and almost instantaneously gives it a speed of 50.0 cm/s . What are a) the amplitude of the subsequent oscillations? b) the block's speed at the point where x=0.350 A?
A 1.10 kg block is attached to a spring with spring constant 18.0 N/m . While...
A 1.10 kg block is attached to a spring with spring constant 18.0 N/m . While the block is sitting at rest, a student hits it with a hammer and almost instantaneously gives it a speed of 43.0 cm/s . What is the block's speed at the point where x= 0.650 A? (if the amplitude of the subsequent oscillations is 10.6cm
A 1.40 kg block is attached to a spring with spring constant 16.0 N/m . While...
A 1.40 kg block is attached to a spring with spring constant 16.0 N/m . While the block is sitting at rest, a student hits it with a hammer and almost instantaneously gives it a speed of 44.0 cm/s . What are... A. The amplitude of the subsequent oscillations? B. The block's speed at the point where x= 0.150 A?