Question: A 1.0-mm-diameter sphere bounces back and forth between two walls at x = 0 mm and x = 100 mm. The collisions are perfectly elastic,

A 1.0-mm-diameter sphere bounces back and forth between two walls at x = 0 mm and x = 100 mm. The collisions are perfectly elastic, and the sphere repeats this motion over and over with no loss of speed. At a random instant of time, what is the probability that the center of the sphere is
a. At exactly x = 50.0 mm?
b. Between x = 49.0 mm and x = 51.0 mm?
c. At x ≥ 75 mm?

Step by Step Solution

★★★★★

3.41 Rating (182 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

Model The probability of finding the center of the particle within the ... 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 (2 attachments)

1442_6054778c00959_701109.pdf

180 KBs PDF File

1442_6054778c00959_701109.docx

120 KBs Word File

Students Have Also Explored These Related Physics Scientists and Engineers Questions!

(a) Oxygen (02) has a molar mass of 32.0 g/mol what is the average translational kinetic energy of an oxygen molecule at a temperature of 300 K? (b) What is the average value of the square of its...

A ball of mass m and initial speed v0 bounces back and forth between a fixed wall and a block of mass M (with M >> m). See Fig. M is initially at rest. Assume that the ball bounces elastically and...

Fun with a Super Ball. A Super Ball has a coefficient of restitution = 0.90. This means that the y components of the ball???s velocity just before and after hitting the floor are related by v fy =...

A hallmark of chaos is extreme sensitivity both to initial conditions and to model parameters. A very simple hypothetical mechanical model exhibiting such extreme sensitivity involves a very small...

A 2 . 0 0 kg cylindrical rod of length 2 . 0 0 m is suspended from a horizontal bar so it is free to swing about that end. A solid sphere of mass 0 . 2 5 kg is thrown horizontally with a speed v 1 =...

I need help with this asap. I'm on my last attempt and need to get correct.Thank you. 11b 5. [-/1 Points] DETAILS OSUNIPHYS1 11.3.WA.029.TUTORIAL. MY NOTES PRACTICE ANOTHER A 2.50-kg cylindrical rod...

A 2 . 4 0 kg cylindrical rod of length 2 . 0 0 m is suspended from a horizontal bar so it is free to swing about that end. A solid sphere of mass 0 . 2 5 kg is thrown horizontally with a speed v 1 =...

A 2.50-kg cylindrical rod of length 2.00 m is suspended from a horizontal bar so it is free to swing about that end. A solid sphere of mass 0.25 kg is thrown horizontally with a speed v - 16.0 m/s to...

A 5 kg sphere is dropped from a height y=3 m to test a new spring floor used in gymnastics. The mass of the floor section B is 12 kg, and the sphere bounces back upwards a distance of 44 mm. Knowing...

mechanical engineering 2. A Brinell hardness measurement is made on a ductile iron (100-70-03, air-quenched) using a 10-mm-diameter sphere of tungsten carbide. A load of 3,000 kg produces a 3.933-...

Assume the same scenario as BE7-5 but the company chooses to use hedge accounting. What would be reflected on the financial statements at January 15, 2013, regarding this transaction?

Allee Corp. is evaluating a revenue arrangement to determine proper revenue recognition. The contract is for construction of 10 speedboats for a contract price of $400,000. I he customer needs the...

Retained Earnings is a . A Cash Flow b . External Financing c . Depreciation plus profits d . Internal Financing e . All of the above

33. The largest asset item for most banks is __________.

Consider an airplane with mass 70 000 kg, cross sectional area 12 m 2 , and drag coefficient 0.03. Estimate the energy needed to get the plane moving at 800 km/h and lift the plane to 10000 m, and...

Estimate the power output of an elite cyclist pedaling a bicycle on a flat road at 14 m/s. Assume all energy is lost to air resistance, the cross-sectional area of the cyclist and the bicycle is 0.4...

Compare the rate of power lost to air resistance for the following two vehicles at 60 km/h and 120 km/h: (a) General Motors EV1 with c d A 0.37m2, (b) Hummer H2 with c d A 2.45m2.

13. A land investor owes $350,000 on a loan for a piece of lakefront property. If the interest accrual loan was financed with a 4-year term at 7.5% per annum, compounded quarterly, what is the...

PORTFOLIO REQUIRED RETURN Suppose you are the money manager of a $5.2 million investment fund. The fund consists of four stocks with the following investments and betas: Stock Beta Investment $...

Instructions: Case Study Requirements The team has been instructed to select a bank that operates within the Caribbean Region. The team needs to describe and assess three banking services that the...