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Physics 101 Mechanics
May 2023
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Physics 101 Mechanics Q&A Archive of May 26, 2023

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May 26 of 2023

is Idstyicriy tria peaionil archero \( 5 x \) 17

This is a problem in John Michael Finn’s Classical Mechanics (3.15). Consider a particle of mass m that is constrained to move on the surface of a cone of revolution 𝑧 = 𝑟 cos 𝛼 with constant polar angle 𝜃. It is being acted on by a constant gravitational field given by 𝐠 = −g𝐳̂ along the axis…

lucation.com/ext/map/index.html?_con=con\&external_browser=0\&launchUrl=https\%253A\%252F\%252Fclickup.up.ac.za\% \( 252 \mathrm{~F} \) webapps\% \( \% 252 \mathrm{Fblackbo} \) apter 13 i Saved Incandescent lightbulbs are filled with an inert gas to lengthen the filament life. With the current…

(2) The speed of sound \( y \), in a meduum depends on to watre length do the young modulus 2 , and density \( p \), of the rieduim use the urethod of base units to deive a formuler ho the speed af sourd Her \( V \), on a meelum (unuts a foung modulur \( \sum ; \operatorname{Kgm}^{-1}…

In reference to John Michael Finn's Classical Mechanics Book: Consider a particle of mass m that is constrained to move on the surface of a cone of revolution 𝑧 = 𝑟 cos 𝛼 with constant polar angle 𝜃. It is being acted on by a constant gravitational field given by 𝐠 = −gẑ along the axis of…

A football is kicked 52.6 meters. If the ball is in the air 5.50 s, with what initial velocity was it kicked? Need to find the magnitude, and the direction above the horizontal.

explain in details

Q. 1 Show that for a spherical concave mirror, a calculation like that done for a refracting surface gives a third-order aberration of \[ a=\frac{h^{4}}{4 R}\left(\frac{1}{s}-\frac{1}{R}\right)^{2} \] where \( R \) is the magnitude of the radius of curvature. Q. 2 Using the result of problem Q.…

4] For cutting a 150 micoon wide slot in a \( 1 \mathrm{~mm} \) Thick tangsten slueet an electron beam machine is used The power of the machine is \( 5 \mathrm{~kW} \) Delernmine. The speed of cutting, gives For Tumgsten. That: - The Volumetric specetic heat, \( \rho c=2.71 \frac{\text { Joum…

the side of the basis. The angle between the diagonal BD' and the basis ABCD is: a) \( 37.5^{\circ} \) b) \( 60^{\circ} \) c) \( 45^{\circ} \) d) \( 30^{\circ} \)

a) In an experiment to verify Ohm's law, the following observations were obtaine readings are: \( 0.20,0.30,0.40,0.60,0.70 \) and \( 0.80 \mathrm{~A} \) while the voltage readit \( 0.40,0.50,0.80,1.00 \) and \( 1.20 \mathrm{~V} \) i. Tabulate these readings. ii. Plot the graph of voltage…

For a given semiconductor E = E_{F} + 0.5eV what is the temperature required to have 1%, 5% and 10% probability of finding electron at that energy.

In a solid consider the energy level 0.02 eV below Fermi level. What is the probability of this level not being occupied by an electron at room temperature? Given that (EF - E) = 0.02 eV and kT = 0.026 eV at room temperature 300 K

where can I get the memo to the Doc Scientia senior physics, i have exams soon ??

An astronaut standing on the moon of a distant planet throws a ball which then follows the parabolic trajectory . The ball's position is shown at intervals of 1s until t=3.0s. The ball's velocity at t=1.0s is v= (2i + 2j) m/s, and the ball reaches maximum height at t=2s. Determine the ball's…

Computerization is making everything dull and uninteresting. Discuss.

Blood flows in an aorta of radius 1 cm at 30 cm/s 1. What is the volume flow rate? 2. What is the pumping rate of the heart? Give this result in liters per minute 3. If the aorta reduces its radius to 0 5 cm because of the thickening of the arterial walls ( what is the speed of the blood…

Verify that \( \psi=\sin a x \) [where \( a \) is a constant] is not an eigen function of \( \frac{d}{d x} \).

*2-32. Determine the magnitude of the resultant force acting on the pin and its direction measured clockwise from the positive \( x \) axis.

please solve this einstein solid

please solve the einstein solid questions

. Beef which has thickness of 4 cm is preserved by storage in a salt brine. The initial salt concentration of beef is zero. The flat sheet of beef is submerged into brine solution with concentration of 0.5 kgmol/m3 . The diffusion coefficient of salt in beef at 4C is 8x10-10 m2 /s. Assume…

A cylindirical piece of feta cheese is immersed in 3 kgmol/m3 of NaCl brine solution. The cheese sample has diameter of 5 cm and 3 cm thickness. The NaCl concentration at the surface immediately attains a value of 0.1 kgmol/m3 . The convective mass transfer coefficent kc is 2x10-5 m/s and…

QUESTION 30

QUESTION 2: (a) Find the transient solution Ttran(t). What is the time constant of the response? (b) Find the steady-state solution Tss(t). (c) Determine the total solution T(t). (d) Sketch the total solution T(t). How long does it take for the temperature to reach 99% of the room…

QUESTION 1

350 mL of water at 32 °C was poured into a 250 mL of water at 84 °C. The final temperature of this mixture was measured to be 41.33 °C. Is this final temperature possible? Justify your reasoning.

An electric dipole moment p is parallel to a long line of charge with linear charge density λ and at a distance d from the line. The magnitude of the torque on the dipole equals:

20. In 8.0 days the number of radioactive nuclei decreases to one-eighth the number present initially. What is the half-life (in days) of the material?

30. The half-life for the ̐́ decay of uranium 238/92U is 4.47 × 10^9 yr. Determine the age (in years) of a rock specimen that contains 60.0% of its original number of 238/92U atoms.

6. Which would take more force to stop in 10 seconds: an 8.0 -xilogram bell rolling in a straight line at a speed of \( 0.2 \mathrm{~m} / \mathrm{sec} \) or a 4.0 -kilogram ball roling along the same path at a speed of \( 1.0 \mathrm{~m} / \mathrm{sec} \) ?

1

Obtain the differential equations of motion (x1(t) and x2(t)) for the system shown below for the case where m1 = m2 = m. The cylinder is solid and rolls without slipping. The platform translates without friction on the horizontal surface. x1(t) and x2(t) are displacement of mass m1 and m2…

Please be specific

A free falling particle A collides with an upward throwing particle B (with initial speed Vo). The distance between A and B is h. When the collision takes place, the height of B is:

Which of the following is part of the second postulate of Einstein's special theory of relativity? Length is independent of the position of a uniformly moving observer. Time and weight are relative to the velocity of a uniformly moving observer. The speed of light in free space is the…

While conducting a lab experiment, Azah measured that 3.44 E6 J of heat were needed to melt 42.1 kilograms of an unknown substance at its melting point. What is the latent heat of fusion of the substance? 1.44 E4 J/kg 3.94 E4 J/kg 8.17 E4 J/kg 9.68 E4 J/kg

If an object is moving away at 1.0 E8 m/s and emits light, how fast will that light travel? 1.0 E8 m/s 2.0 E8 m/s 3.0 E8 m/s 4.0 E8 m/s

5. A tie bar is made of mild steel of tensile strength \( 462 \mathrm{MN} / \mathrm{m}^{2} \) is to carry a tensile load of 11.12 \( k N \). The minimum diameter of the bar allowing a factor of safety of 12 , is: a) \( 17 \mathrm{~mm} \) b) \( 230 \mathrm{~mm} \) c) \( 188 \mathrm{~mm} \) d) \(…

An aluminum beam is 10.0 m long at a temperature of 25.0 °C. After heating, the final length of the beam is 10.012 m. What was the final temperature of the beam, if aluminum has a coefficient of linear expansion of 2.40 E 5 °C−1? 75.0 °C 100 °C 125 °C 150 °C

1. A ship is sailing due east at 18 knots runs into a 3 knot current moving \( 40^{\circ} \) East of North. The resultant speed an direction of the ship are: a) 20.3 knots \( ; 6^{.} 30^{\prime} \mathrm{N} \) to \( E \) b) 15.82 knots \( ; 8^{\prime} 35^{\prime} N \) to \( E \) c) 20.06 knots…

There is a light spring connected a small ball with mass m. The end without the ball is fixed on the top of a vertical plane ring of radius R. The ball can only move along the ring (no friction). In the beginning the ball is stopped at A and the spring is in nature state. When release the ball…

5. A tie bar is made of mild steel of tensile strength \( 462 \mathrm{MN} / \mathrm{m}^{2} \) is to carry a tensile load of 11.12 \( k N \). The minimum diameter of the bar allowing a factor of safety of 12 , is: a) \( 17 \mathrm{~mm} \) b) \( 230 \mathrm{~mm} \) c) \( 188 \mathrm{~mm} \) d) \(…

1. The temperature inside a refrigerated cold chamber is \( -3^{\circ} F \) when the outside temperature is \( -60^{\circ} \mathrm{F} \). The temperature difference between inside and outside in degrees Celsius is: a) \( 33.3^{\circ} \mathrm{C} \) b) \( 35^{\circ} \mathrm{C} \) c) \( 63^{\circ}…

2. A casting of mass \( 5 \mathrm{~kg} \) is pulled a distance of \( 10 \mathrm{~m} \) along a horizontal floor, the coefficient of friction between the surfaces of the casting and floor being 0.4 . The heat generated is: a) \( 19.62 J \) b) \( 200 \mathrm{~J} \) c) \( 196.2 J \) d) \( 20…

A car is moving at 18m/s whe it accelerates at 4m/s² for 2 seconds .what is his new velocity

Question A body of mass \( 5 \mathrm{~kg} \) rests on a rough horizontal surface of coefficient of friction 0.2 . The body is pulled through a distance of \( 10 \mathrm{~m} \) by a horizontal force of \( 25 \mathrm{~N} \). The kinetic energy acquired by it is :

4. At a temperature of \( 0^{\circ} \mathrm{C} \), the mass \( \notin \) volume of fliid are \( 825 \mathrm{~kg} \) and \( 1.17 \mathrm{~m}^{3} \). The coefficient of volume expansion is \( 1,26 \times 10^{23} \cdot \cdot 21 \) a) What the density of the fluid at this temperature? b) What is…

Conical pendulum is a ball with mass m hang on the ceilling with a thin rope with length l. The ball has a initial velocity and does uniform circular motion in horizontal plane angle speed w. What is the conical angle θ?

A 4m long fixed end hollow cast iron column supports an axial load of 1 MN. The external diameter of the column is 200mm. Determine the thickness of the column using Rankine formula taking a constant of 1/6400 and working stress of 78 MPa.

the sample at the shrinkage limit is 0.70. Assume \( \mathrm{G}=2.70 \) b. An air-dried soil sample weighing \( 25 \mathrm{~kg} \) was sieved in a laboratory. The results are 10 given below. \begin{tabular}{|c|c|c|c|c|c|c|c|c|} \hline IS sieve size & 2.0 & 1.0 & \( 600 \mu \) & \( 425 \mu \) &…

6. Now decide if the induced magnetic field is going to increase the flux through the coil or decrease the flux through the coil for each case. Tabulate your results below. \begin{tabular}{|l|l|l|l|} \hline & \( \begin{array}{l}\text { The motion of the } \\ \text { magnet }\end{array} \) & \(…

Please be specific

The members \( \mathrm{CJ} \) and \( C F \) of the loaded truss cross but are not connected to members \( B I \) and \( D G \). Compute the forces in members \( B C, C \), \( \mathrm{Cl} \), and \( \mathrm{HI} \).

2) A car moves \( 100 \mathrm{~m} \) due east and then \( 25 \mathrm{~m} \) due west. (a) What is the distance covered by the car? (b) What is its displacement?

displacement is \( 45 \mathrm{~km} \) ? A car moves \( 100 \mathrm{~m} \) due east and then \( 25 \mathrm{~m} \) due west. (a) What is the distance covered by the car? (b) What is its displacement?

Determine the super elevation for a highway curve \( 183 \mathrm{~m} \) in radius so that there will be no side thrust for a speed of \( 72 \mathrm{kph} \).

Calculate the value of first three rototional energy levels of a rigid rotor whose moment of inertia is \( 1.457 \times 10^{-46} \mathrm{kgm}^{2} \). Given: \[ 1=1.457 \times 10^{-46} \mathrm{kgm}^{2} \]

2 2. A rectangular wire frame dipped in soapy water and then removed. How much work must be done to increase the area by \( \operatorname{im}^{2} 7 \) The surtace tension of soap is \( 4 \cdot 10^{-2} \mathrm{~N} / \mathrm{m} \) (46?J)

COMBINED GAS LAW 1. The initial volume of the gas is \( 5 \mathrm{~L} \) and final volume is \( 3 L \). Calculate the final pressure of the gas, given the initial temperature is \( 273 \mathrm{k} \) and the finalemperah is \( 200 \mathrm{k} \) and initial pressure is \( 25 \mathrm{kPa} \). 2.…

A flat surface with the shape of an equilateral triangle is submerged in water so that its flat surface is perpendicular to the free surface and one leg is just below the free surface as shown in Figure. Length of a leg of the equilateral triangle is 1.10 m Calculate the magnitude of the…

1. Determine the centroid for the shaded Area Shown below. (find both ( x )-centwid and ( y )-oent)b.

HELP

Problem 12: A \( 3 \mathrm{~kg} \) block starts from rest at the top of \( 30^{\circ} \) incline and sli a distance of \( 2 \mathrm{~m} \) down the incline in \( 1.5 \mathrm{~s} \). Find (a) the acceleration of block, (b) the coefficient of kinetic friction between the block and the plo (c) the…

14. Three forces, given by \( \mathbf{F}_{1}-(-2.00 \hat{\mathbf{i}}+2.00 \hat{\mathbf{j}}) \mathrm{N}, \mathbf{F}_{2}-(5.00 \hat{\mathbf{i}}-3.00 \hat{\mathbf{j}}) \mathrm{N} \), and \( \mathbf{F}_{3}-(-45.0 \hat{\mathbf{i}}) \mathrm{N} \), act on an object to give it an acceleration of…

5.2C Water flows steadily into and out of the system with four pipes shown below. The mass flowrate through three of the pipes in \( \mathrm{kg} / \mathrm{s} \) is indicated.

Cyclist moveng along circular path of radius \( 14 \mathrm{~m} \); covers halk round in 4 secondon. Find average speed and average velocity in halt round?

2. A balloon is attached to a string \( 15 \mathrm{~m} \) long. The balloon is \( 8 \mathrm{~m} \) abore the ground. If the string is straight, what gngle does the string makes

at rest. 9. One cart of mass \( 12.0 \mathrm{~kg} \) is moving \( 6.00 \mathrm{~m} / \mathrm{s} \) to the right on a frictionless track and collides with a cart of mass \( 4.00 \mathrm{~kg} \) moving in the opposite direction \( 3.00 \mathrm{~m} / \mathrm{s} \). Find the final velocity of the…

2076 GIE Set B Q.No. 1a Can potential difference between ne terminals of a battery ever be opposite in direction to the 23. enf? If it can, give an example. If it cannot, explain why not?[2]

2. Find cut the verious detels (astingubhing charocteristics. extre focts/ informetion, synonyms, excmples or onecdotes) about your chosen tepic. 3. Wah o specific oudience in mind, wite o comprehensive definition of your term by using the ditterent woys/ techniques of expanding it.

Which of the following were included in Dalton's Atomic Theory but were later shown to be incorrect? Atoms of a given element are identical in size, mass, and other properties. Atoms cannot be subdivided, created, or destroyed in chemical reactions. Atoms of different elements can…

Two atoms have the same Z-number. Which statement is true? If they have different A-numbers, then one is an ion. If they have different A-numbers, then they are isotopes. If they have the same A-numbers, then one is an ion. If they have the same A-numbers, then they are isotopes.

What's New Situation 1 Imagine a 10-wheelers truck collided with a small car which is not moving. After they collide, the two vehicles are now stuck together as they move forward. Will their combined speed be greater than, equal to, or less than the speed of the truck before the collision?…

What's In What's the Word? Objectives Arrange the following jumbled words to form terms related to conservation of momentum. Write your answers on your answer sheets. 1. OILLICSON - an instance of one moving object or person striking violently against another. 2. DVSCEONER - refers to something…

A 10 V battery is connected in parallel to three resistors as shown in the figure. The values of the resistors are R1=15 Ω, R2=35 Ω, and R3=75 Ω. What is the current going through R2?

Q.1 Fill in the blanks: (i) A car starts at rest and travels a distance of \( 20 \mathrm{~m} \) in \( 1 \mathrm{sec} \). The average speed of car is

and give your answers to two (2) decimal places WHERE APPLICABLE. pressure is transm, compressed fluid exerts a force \( F_{1} \) on a small piston having a radius of \( 5 \mathrm{~cm} \). The (6 Marks) a. Determine \( \mathrm{F}_{1} \) if the mass of the car to be lifted is \( 1350…

A football is kicked 52.6 meters. If the ball is in the air 5.50 s, with what initial velocity was it kicked? Need to find the magnitude, and the direction above the horizontal.

explain in details

An astronaut standing on the moon of a distant planet throws a ball which then follows the parabolic trajectory . The ball's position is shown at intervals of 1s until t=3.0s. The ball's velocity at t=1.0s is v= (2i + 2j) m/s, and the ball reaches maximum height at t=2s. Determine the ball's…

Computerization is making everything dull and uninteresting. Discuss.

350 mL of water at 32 °C was poured into a 250 mL of water at 84 °C. The final temperature of this mixture was measured to be 41.33 °C. Is this final temperature possible? Justify your reasoning.

An electric dipole moment p is parallel to a long line of charge with linear charge density λ and at a distance d from the line. The magnitude of the torque on the dipole equals:

20. In 8.0 days the number of radioactive nuclei decreases to one-eighth the number present initially. What is the half-life (in days) of the material?

30. The half-life for the ̐́ decay of uranium 238/92U is 4.47 × 10^9 yr. Determine the age (in years) of a rock specimen that contains 60.0% of its original number of 238/92U atoms.

1

Please be specific

A free falling particle A collides with an upward throwing particle B (with initial speed Vo). The distance between A and B is h. When the collision takes place, the height of B is:

Which of the following is part of the second postulate of Einstein's special theory of relativity? Length is independent of the position of a uniformly moving observer. Time and weight are relative to the velocity of a uniformly moving observer. The speed of light in free space is the…

While conducting a lab experiment, Azah measured that 3.44 E6 J of heat were needed to melt 42.1 kilograms of an unknown substance at its melting point. What is the latent heat of fusion of the substance? 1.44 E4 J/kg 3.94 E4 J/kg 8.17 E4 J/kg 9.68 E4 J/kg

If an object is moving away at 1.0 E8 m/s and emits light, how fast will that light travel? 1.0 E8 m/s 2.0 E8 m/s 3.0 E8 m/s 4.0 E8 m/s

An aluminum beam is 10.0 m long at a temperature of 25.0 °C. After heating, the final length of the beam is 10.012 m. What was the final temperature of the beam, if aluminum has a coefficient of linear expansion of 2.40 E 5 °C−1? 75.0 °C 100 °C 125 °C 150 °C

Conical pendulum is a ball with mass m hang on the ceilling with a thin rope with length l. The ball has a initial velocity and does uniform circular motion in horizontal plane angle speed w. What is the conical angle θ?

A flat surface with the shape of an equilateral triangle is submerged in water so that its flat surface is perpendicular to the free surface and one leg is just below the free surface as shown in Figure. Length of a leg of the equilateral triangle is 1.10 m Calculate the magnitude of the…

Which of the following were included in Dalton's Atomic Theory but were later shown to be incorrect? Atoms of a given element are identical in size, mass, and other properties. Atoms cannot be subdivided, created, or destroyed in chemical reactions. Atoms of different elements can…

Two atoms have the same Z-number. Which statement is true? If they have different A-numbers, then one is an ion. If they have different A-numbers, then they are isotopes. If they have the same A-numbers, then one is an ion. If they have the same A-numbers, then they are isotopes.

What's New Situation 1 Imagine a 10-wheelers truck collided with a small car which is not moving. After they collide, the two vehicles are now stuck together as they move forward. Will their combined speed be greater than, equal to, or less than the speed of the truck before the collision?…

A 10 V battery is connected in parallel to three resistors as shown in the figure. The values of the resistors are R1=15 Ω, R2=35 Ω, and R3=75 Ω. What is the current going through R2?