Question: A 3-kg sphere dropped through air has a terminal speed of 25 m/s. (Assume that the drag force is bv.) Now suppose the sphere

A 3-kg sphere dropped through air has a terminal speed of 25 m/s. (Assume that the drag force is – bv.) Now suppose the sphere is attached to a spring of force constant k = 400 N/m and that it oscillates with an initial amplitude of 20 cm.

(a) What is the time constant τ?

(b) When will the amplitude be 10 cm?

Step by Step Solution

★★★★★

3.29 Rating (161 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a Determine b from v t mgb mb v t ... 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

Document Format (1 attachment)

10-P-O-O-W (291).docx

120 KBs Word File

Students Have Also Explored These Related Oscillations Mechanical Waves Questions!

A 0.142-kg baseball has a terminal speed of 42.5 m/s (95 mi/h). (a) If a baseball experiences a drag force of magnitude R = Cv2, what is the value of the constant C? (b) What is the magnitude of the...

A 2-kg object oscillates with an initial amplitude of 3 cm on a spring of force constant k = 400 N/m. Find (a) The period, and (b) The total initial energy. (c) If the energy decreases by 1% per...

A 0.4-kg block attached to a spring of force constant 12 N/m oscillates with an amplitude of 8 cm. Find (a) The maximum speed of the block, (b) The speed and acceleration of the block when it is at x...

A small $3.0-\mathrm{kg}$ object dropped from the roof of a tall building acquires a terminal speed of $25 \mathrm{~m} / \mathrm{s}$. Assume the drag force exerted on the object has the same form...

Note: To simplify calculations, you may use g = 10 m/s in all problems.V =7.5 m/s Questions 2-4 refer to the following figure: B C - NWAVAN D velocity (m/s) 1. An object is thrown horizontally to the...

Problem 1 Velocity (m/s) 5 3 0.2 0.4 0.6 0.8 1.2 1.4 1.6 1 .8 Time (s) -2 -4 A light sphere is thrown upwards on a cliff at t = 0s, and experiences a significant drag force. The velocity-time graph...

1.An 8-kg block moving to the right collides with and sticks to a 6-kg block moving to the left. Which statement best describes the motion of the combined blocks immediately after the collision? They...

Physics Content Covered: - Newton's Laws Directions: Answer the following problems below by showing the complete solution. In return, I will give you a good rating. Thank you so much! Note: Please be...

A 175 lb skydiver reaches a terminal velocity of 150 mph during free fall. If the frontal area of the diver is 8 ft2 , what are: (a) The magnitude of the drag force acting on the skydiver? (b) The...

This print-out should have 29 questions. A ball is thrown upward. At a height of 10 Multiple-choice questions may continue on meters above the ground, the ball has a po- the next column or page -...

On this website, http://www.assessmentpsychology.com/iqclassifications.htm, you can review IQ classifications (Very Superior, Superior, High Average, Average, Low Average, Borderline, Extremely Low)....

You are evaluating two passive equity funds Vanguard Small-growth ETF (VBK) and Invesco Trust (QQQ). Both funds' objective is to track the performance of small and growth firms. The information about...

Consider the system depicted in the block diagram in Figure 11.38. This system is: a. Controllable, observable b. Not controllable, not observable c. Controllable, not observable d. Not controllable,...

Later in life, Devon convinces her friend Taylor to start saving for retirement as well. Even though Taylor is the same age as Devon, she hasn't started saving for retirement yet. With only 20 years...

Using the following time series data, respond to the following items. a. G raph the data. b. Based on the graph, describe the time series pattern. c. For this time series, why is forecasting with a...

The following graph shows the average car insurance premium for a sample of ages. a. Explain what the graph tells us about insurance rates for drivers at different ages. Explain why insurance rates...

The following General Fund information is available for the preparation of the financial statements for the city of Eastern Shores for the year ended September 30, 2020: From the information given...

Answer the following questions: 1. Can the use of a patsy code result in increased long-term profits? 2. Discuss the moral and ethical implications of implementing the above-described patsy code. 3....

June 2008 Brian obtained a judgment against Fred for 20,000. Fred, being short of money, asked for time to pay. On

Dynamite! A demolition crew uses dynamite to blow an old building apart. Debris from the explosion flies off in all directions and is later found at distances as far as 50 m from the explosion....

Spiraling up it is common to see birds of prey rising upward on thermals. The paths they take may be spiral-like. You can model the spiral motion as uniform circular motion combined with a constant...

A jungle veterinarian with a blow-gun loaded with a tranquilizer dart and a sly 1.5-kg monkey are each 25 m above the ground in trees 90 m apart. Just as the hunter shoots horizontally at the monkey,...

(In Thousands) (USD) Total Revenue EBITDA Operating Income Net Income Revenue per Share EPS from Continuing Operations EPS - Net Income - Diluted Share Outstanding Weighted Average Shares Outstanding...

The amount by which a firm's tax bill is reduced as a result of the depreciation expense is referred to as the depreciation:

QUESTION 5 The Bike Shoppe has total assets of $536,712 and an equity multiplier of 1.36. What is the debt-equity ratio? For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). B I US Paragraph...