A block with mass m 6 8 kg is hung from a vertical spring When the mass hangs in equilibrium, the spring stretches x 0 22 m While at this equilibrium position, the mass is then given an initial push downward at v 5 m s The block oscillates on the spring without friction 1) What is the spring constant of the spring 2 )What is the oscillation frequency 3) After t 0 3 s what is the speed of the block 4) What is the magnitude of the maximum acceleration of the block 5) At t 0 3 s what is the magnitude of the net force on the block 6) Where is the potential energy of the system the greatest

Question: A block with mass m =6.8 kg is hung from a vertical spring. When the mass hangs in equilibrium, the spring stretches x = 0.22

A block with mass m =6.8 kg is hung from a vertical spring. When the mass hangs in equilibrium, the spring stretches x = 0.22 m. While at this equilibrium position, the mass is then given an initial push downward at v = 5 m/s. The block oscillates on the spring without friction.

1) What is the spring constant of the spring?
2 )What is the oscillation frequency?
3) After t = 0.3 s what is the speed of the block?
4) What is the magnitude of the maximum acceleration of the block?
5) At t = 0.3 s what is the magnitude of the net force on the block?
6) Where is the potential energy of the system the greatest?

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

Lets solve these step by step 1 Spring Constant k Hookes Law states F kx where F is the force exerted by the spring k is the spring constant and x is ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Physics Questions!

Mary's Nursery uses a perpetual inventory system. At December 31, the perpetual inventory records indicate the following quantities of a particular blue spruce tree: A year-end physical inventory,...

A block with mass m =6.9 kg is hung from a vertical spring. When the mass hangs in equilibrium, the spring stretches x = 0.29 m. While at this equilibrium position, the mass is then given an initial...

A block with mass m = 6.2 kg is attached to two springs with spring constants kleft = 31.0 N/m and kright = 49.0 N/m. The block is pulled a distance x = 0.2 m to the left of its equilibrium position...

You have a client (Jessica) is married, whose husband stays at home and goes to school. Jessica makes $150,000 per year income before adjustments, but she is not subject to a retirement plan. During...

A block with mass m = 6 . 8 kg is hung from a vertical spring. When the mass hangs in equilibrium, the spring stretches x = 0 . 2 2 m . While at this equilibrium position, the mass is then given an...

A block with mass m = 6 . 6 kg is hung from a vertical spring. When the mass hangs in equilibrium, the spring stretches x = 0 . 2 6 m . While at this equilibrium position, the mass is then given an...

A block with mass m = 6 . 6 kg is hung from a vertical spring. When the mA block with mass m = 5 . 2 kg is attached to two springs with spring constants kleft = 3 2 N / m and kright = 4 8 N / m . The...

A block with mass m = 7 . 5 kg is hung from a vertical spring. When the mass hangs in equilibrium, the spring stretches x = 0 . 2 5 m . While at this equilibrium position, the mass is then given an...

A block with mass m = 7 . 3 kg is hung from a vertical spring. When the mass hangs in equilibrium, the spring stretches x = 0 . 2 8 m . While at this equilibrium position, the mass is then given an...

A mass of 0.750 kg is hung from a vertical spring with a spring constant of 20 N/m. After coming to equilibrium the mass is then pulled down an additional distance 10 cm and then released from rest....

In an aircraft gas turbine engine the hot gases enter the propelling nozzle at a pressure of 600 kPa and a temperature of 750 K with negligible velocity. Assuming the flow to be choked, find the exit...

A sector of a circle of diameter 20 cm has a central angle of 47. Find the arc length of the sector and the area of the sector. Round answers to 2 decimal places as needed. Arc length of sector ~...

A piece of machinery is capable of producing rectangular shoets of metal such that the length is twice the width. Furthermore, equal - sized squares measuring 1 0 cm on a side can be cut from the...

For the next year, Halmark is planning to expand its greeting card business beyond the East Coast to the Midwest. Jim estimates Halmark's demand for cards in the Midwest. He estimates that the amount...

(c) Draw a topographic profile from borehole A to C using a vertical exaggeration of 200:1. Please be sure to label your scales. ABC (d) Based on the borehole information where would be the best spot...

Annual rainfall in New York falls at an average of 33 inches per year. Let the annual rainfall in New York represent a normal random variable with standard deviation 8 inches. (a) What is the...

Excel application. Consider the following data from BNF Corporation's statement of cash flows for the quarter ended 31 March 2014: Cash received from issuance of capital stock $ 9,499 Cash received...

Technical support may be a part of sale or after sale service. It can be independent variable, mediating variable or moderating variable. Let me differentiate among them first. An independent...

If the actual overhead for the year is $57,935 and the applied overhead is $57,415, determine whether the overhead is overapplied or underapplied. Then, prepare the journal entry necessary to...

In April 1974, John Massis of Belgium managed to move two passenger railroad cars. He did so by clamping his teeth down on a bit that was attached to the cars with a rope and then leaning backward...

A dose of 8.60Ci of a radioactive isotope is injected into a patient. The isotope has a half-life of 3.0 h. Flow many of the isotope parents are injected?

Three identical stars of mass M form an equilateral triangle that rotates around the triangle's center as the stars move in a common circle about that center. The triangle has edge length L. What is...

5. Explain the following terms: a. Total sum of squares b. Explained sum of squares c. Unexplained sum of squares

33. The purpose of a study by Roodenburg et al. (A-31) was the classification and quantitative description of various fetal movement patterns during the second half of pregnancy. The following are...

24. The following table shows the aggression scores of 30 laboratory animals reared under three different conditions. One animal from each of 10 litters was randomly assigned to each of the three...