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May 2023
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Physics 101 Mechanics Q&A Archive of May 11, 2023

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May 11 of 2023

A wrench slides off a tilted shelf, although if a force of 1.6 N is applied opposite the wrench's motion the wrench will slide down the shelf with a constant velocityIf the shelf is 1.2 m long, what is the work done by the applied force on the wrench?

bernoulli's theorem and application on mixing?

If a skier at the top of a y = 30.2 m hill that has a slope of θ = 14.70 is able to go down the hill with no friction, what is her speed at the bottom of the hill?

Consider a triatomic molecule with all atoms collinear and of equal mass m. We model the coupling between the atoms of the molecule with two identical springs with spring constant k. Each atom can only translate in the x-direction (the atom does not rotate or translate as a whole). a) [10…

Fire hose used in major structural fire have inside diameter of \( 6.40 \mathrm{~cm} \).. suppose such a hose carries a flow of \( 40 \mathrm{ltr} / \mathrm{s} \), starting at a gauge pressure of \( 1.62 \times 10^{6} \mathrm{~N} / \mathrm{m}^{2} \). the hose rises up \( 10 \mathrm{~m} \) along…

Can you explain these with equation

1. A brass rod is \( 2 \mathrm{~m} \) long at a certain temperature. Calculate the linear expansion of the rod for a temperature change of \( 100 \mathrm{~K} \) [Take the linear expansivity of brass as \( 1.8 \times 10^{-5} \mathrm{~K}^{-1} \) ] WAEC 1995 Ans: \( 3.6 \times 10^{-3} \mathrm{~m}…

Q. 2. Pressure \( P \) as a function of depth \( h \) for a certain liquid is plotted on the graph on the right. From the graph, the density of the liquid is closest to A) \( 1.85 \times 10^{3} \mathrm{~kg} / \mathrm{m}^{3} \) (B) \( 1.36 \times 10^{3} \mathrm{~kg} / \mathrm{m}^{3} \) C) \(…

Draw a PV diagram for the following processes:- Suppose 6.0L of a monatomic ideal gas originally at \( 400 \mathrm{~K} \) and pressure \( 3.039 \times 10^{5} \) undergoes the following processes; 1-2 isothermal expansion to \( \mathrm{V}_{2} \) to \( 4 \mathrm{~V}_{1} \) \( 2-3 \) isobaric…

Let the elevator have a mass of 1,625 kg and an upward acceleration of 2.3 m/s2. Find T.

…

What force is required to push a 42kg object with an acceleration of 4.8m/s squared

f the resultant of the forces shown passes through point A, determine the magnitude of the unknown tension T2 which acts on the braked pulley.

Consider a horizontal spinning disc of radius R=5.7m. A ball of mass m=3.63kg and negligible size is attached, with a clamp, to the outer edge of the disc. The disc starts at rest and experiences a constant angular acceleration, α=3.9rad/s2.Consider the disc at time t=15.9s. Calculate the…

a bearing has an ourter diameter of 600mm and an inside diameter of 300mm. pitch diameter= 450mm the bearing speed is 6000rpm. it has 6 rollers and the diameter of the roller is 150mm. calculate the Ball spin frequency

Prove that the wave equation is invariant for Lorentz transformation but is not invariant for Galileo transformation. Prove it just for the one-dimensional wave equation.

A mass is attached to a horizontal spring and pulled 27.70 cm to the right, it is released at time t=0. The mass makes 8 oscillations in 17.10 seconds. What is the maximum speed of the mass

A mass M on a spring oscillates along a vertical line with the same period T as an object O in uniform circular motion in a vertical plane. When M is at its highest point, O is at its lowest point. What is the least time interval between successive instants when the acceleration of M is…

a squirrel jumps perfectly horizontally from a branch at a speed of 7m/s and an elevation of 4.0 meters above the ground

1) Bumblebee jumps straight upwards with a velocity of \( 14.0 \mathrm{~m} / \mathrm{s} \). What is his displacement of after \( 1.80 \mathrm{~s} \) ?

QUESTION 3 (Start on a new page.) A ball is thrown vertically upwards, with velocity \( v \), from the edge of a roof of a \( 40 \mathrm{~m} \) tall building. The ball takes \( 1,53 \mathrm{~s} \) to reach its maximum height. Ignore air resistance. 3.1 Define the term free fall. 3.2 Calculate…

A very tight rope is attached to a box with mass ma= 3.0 [kg] that rest on a tabletop with ms= 0.25 and mk= 0.20. The rope passes through a frictionless, mass less pulley and another box with mass mb= 1.0 [kg] is attached to the other end of the rope. what is the acceleration of the blocks?

One way to model the allowed states of a hydrogen atom is to treat the atom’s single electron as a standing wave with a wavelength l . Which of the following could be the radius of the orbit of the electron in such a model? Select two answers. why is 2λ/π also a correct answer

A ball of mass starts at rest and slides down a frictionless track, as shown in the fig. below. It leaves the track horizontally at height . Find an expression for the horizontal distance the ball moves after leaving the track and before it strikes the ground. (

The propeller of a World War II fighter plane is 2.1 m in diameter.What is its angular velocity in radians per second if it spins at 1180 rev/min?

How do you calculate centrifugal force?

At its lowest setting a centrifuge rotates with an angular speed of ω1 = 350 rad/s. When it is switched to the next higher setting it takes t = 7.5 s to uniformly accelerate to its final angular speed ω2 = 550 rad/s.Calculate the total angular displacement (in radians) of the centrifuge, Δθ, as…

What is momentum

please solve thıs questıon

A positive of charge g, = 0.36 C is placed 12 m west of another positive charge 92 , = 0.49 C. A third negative charge 9, = -0.25 C is placed 5.0 m north of 92. What is the net electric force on 92 (include direction)?

The bar \( \mathrm{ABC} \) is supported by ball and socket supports at \( \mathrm{A} \) and \( \mathrm{C} \) and the cable \( \mathrm{BD} \), and is loaded by the \( 200-\mathrm{lb} \) suspended weight. What is the tension in cable BD?

Determine the moment of the 350N force acting on the lid at B about the hinged x axis of the lid.

PHY 6646 - Quantum Mechanics II - Spring 2019 Homework set \# 8, due March 13 1. The variational technique can sometimes be used to find excited states. a. For the hydrogen atom, show that the minimum expectation value of the energy in the state described by the wavefunction \( \Psi(\vec{r})=r…

A very light taut rope is attached to a box with mass MA = 3.0 [kg] that rests on a tabletop with μs = 0.25 and Hk = 0.20. The rope passes through a frictionless, massless pulley and another box with mass mg = 1.0 [kg] is attached to the other end of the rope. What is the acceleration of the…

A very light taut rope is attached to a box with mass \( m_{A} \) \( =3.0[\mathrm{~kg}] \) that rests on a tabletop with \( \mu_{\mathrm{s}}=0.25 \) and \( \mu_{\mathrm{k}}=0.20 \). The rope passes through a frictionless, massless pulley and another box with mass \( \mathrm{m}_{B}=1.0 \) [kg]…

A refrigerator based on reversed Carnot cycle works between two such temperatures that the ratio between the low and high temperature is 0.8. If a heat pump is operated between same temperature ranges, then what would be its COP?

Instructions: Answer all Questions, show your workings for all calculations based questions 1. Which of the study of a model of light in a straight line in the electromagnetic spectrum A. Visible light B. Rectilinear propagation of light C. Geometric optics D. light rays 2. What law states that…

A DJ starts up her phonograph player. The turntable accelerates uniformly from rest, and takes t1 = 12 seconds to get up to its full speed of f1 = 78 revolutions per minute.How many revolutions does the turntable make while accelerating in Case 1?

3. A gas oxpands fiom \( A \) to 18 as shown in the graph. Caleulate the work done by the mas. \[ 11= \]

The following values were obtained for the period of vertical oscillation for a spiral spring carrying different loads. Load m/g 25, 50, 75, 100, 125 Period T/s 0.96, 1.14, 1.28, 1.41, 1.54 Suppose the formula relating T and M is where m = effective mass of the spring and k = spring…

4. A compression, at a constant pressure of \( 190 \mathrm{kPa} \), is performed on 5.0 moles of an ideal monatomic gas. The compression reduces the volume of the gas from \( 0.19 \mathrm{~m}^{3} \) to \( 0.12 \mathrm{~m}^{3} \). The work done by the gas is closest to

3. A gas expands from \( A \) to \( B \) as shown in the graph. Calculate the work done by the gas. \[ W=\square \mathrm{J} \]

2. A certain amount of ideal monatomic gas is maintained at constant volume as it is cooled from \( 455 \mathrm{~K} \) to \( 405 \mathrm{~K} \). This feat is accomplished by removing \( 400 \mathrm{~J} \) of heat from the gas. How much work is done by the gas during this process?

See back of page for more relevant data. 1. A steel container, equipped with a piston, contains \( 21 \mathrm{~mol} \) of an ideal gas at \( 465 \mathrm{~K} \). The container is compressed isothermally to \( 90 \% \) of its original volume. How much work is done on the gas? \[ W= \] \(…

Figure Q1c shows a bracket on rollers that allow the bracket to move along a beam in the horizontal direction. A force F1 of 2625 N acts at point A where the angle θ between F1 and the x-axis is 10O. If force F2 acts at an angle α = 40O between F2 and the y-axis: (i) Determine the magnitude…

a) A pipe with an inside diameter of 42 mm is subjected to an axial load of 850 kN. If the maximum allowable tensile stress in the pipe is 2.50 kN/mm2, calculate the minimum wall thickness required for the pipe. Give your answer in millimetres(mm) to 2 decimal places. b)A 1.25 m long cable…

The following are the average monthly electric consumption (in kwh) of 50 randomly chosen household in Barangay Cabancalan.

The following values were obtained for the period of vertical oscillation for a spiral spring carrying different loads. Load m/g 25, 50, 75, 100, 125 Period T/s 0.96, 1.14, 1.28, 1.41, 1.54 Suppose the formula relating T and M is where m = effective mass of the spring and k = spring…

rate is: a. pulled \( 10 \mathrm{~m} \) b. lifted \( 10 \mathrm{~m} \) 4. The earth exerts a gravitational force of \( 2 \times 10^{20} \mathrm{~N} \) on the moon and the moon travels \( 2.4 \times 10^{9} \mathrm{~m} \) each time it orbits the earth. How much work does the earth do on the moon…

Type question here (Keep it short & clear to get the best answer)

A car sits in an entrance ramp to a freeway, waiting for a break in the traffic. The driver accelerates with constant acceleration along the ramp and onto the freeway. The car starts from rest, moves in a straight line, and has a speed of \( 20.0 \mathrm{~m} / \mathrm{s} \) When it reaches the…

If change in x = 5.0 and change in y= 4.0 t= 3.0 calculate the x and y component of cars average velocity?

which it alides io in 8.28 ll the curfice nakes am migle of 20 with the lroticeatal and caleulate the toms moguined 6 alabe the Mitreb at anifiran speed ay the glane (¿ Marks)

An amusement park ride rotates around a fixed axis such that the angular position of a point on the ride follows the equation: θ(t) = a + bt2 – ct3 where a = 2.7 rad, b = 0.35 rad/s2 and c = 0.035 rad/s3.Besides at t = 0, at what time t1 is the ride stopped? Give your answer in seconds.

On a frictionless horizontal air table, puck A (with mass 0.255 kg) is moving toward puck B (with mass 0.375 kg), which is initially at rest. After the collision, puck A has velocity 0.115 m/s to the left, and puck B has velocity 0.648 m/s to the right. Calculate ΔK, the change in the total…

The flux linking a 400 turns coil is given by \( \Phi=9 t^{2}(\mathrm{~Wb}) \), where \( t \) is the time in \( \mathrm{s} \) : 2.1 Plot the induced voltage versus \( t \) 2.2 Compute the induced voltage at \( \mathrm{t}=3 \mathrm{~s} \) and at \( \mathrm{t}=6 \mathrm{~s} \) and compare the two…

A \( 110 \mathrm{KVA}, 2200 \mathrm{~V} / 110 \mathrm{~V}, 60 \mathrm{~Hz} \) single-phase transformer has the following circuit constants: \( R_{1}=0.22 \Omega \), \( R_{2}=0.5 \mathrm{~m} \Omega, X_{1}=2.0 \Omega, X_{2}=5 \mathrm{~m} \Omega, R_{C}=5.5 \mathrm{k} \Omega \) (referred to the…

\( f(t)=1+\ln t \)

If \( s=t^{u} \), find \( \partial s / \partial t, \partial s / \partial u \).

49. (H) Monochromatic light falls on a transmission diffraction grating at an angle \( \& \) to the normal. (a) Show that Eq. 35-13 for diffraction maxima must be replaced by \[ d(\sin \phi+\sin \theta)= \pm m \lambda . \quad m=0,1,2, \ldots \] (b) Explain the \( \pm \operatorname{sign} \). (c)…

The area of the inner cross section of a horizontal tube (fixed) is A, while the area of cross section of its part on the right hand side is KA, where K< 1. The two parts are attached smoothly without any sharp turns as given. In the tube there is some liquid that can be pushed out of this part…

Type question here (Keep it short & clear to get the best answer)

How we solve it

bernoulli's theorem and application on mixing?

If a skier at the top of a y = 30.2 m hill that has a slope of θ = 14.70 is able to go down the hill with no friction, what is her speed at the bottom of the hill?

Can you explain these with equation

Let the elevator have a mass of 1,625 kg and an upward acceleration of 2.3 m/s2. Find T.

…

Consider a horizontal spinning disc of radius R=5.7m. A ball of mass m=3.63kg and negligible size is attached, with a clamp, to the outer edge of the disc. The disc starts at rest and experiences a constant angular acceleration, α=3.9rad/s2.Consider the disc at time t=15.9s. Calculate the…

A mass is attached to a horizontal spring and pulled 27.70 cm to the right, it is released at time t=0. The mass makes 8 oscillations in 17.10 seconds. What is the maximum speed of the mass

A mass M on a spring oscillates along a vertical line with the same period T as an object O in uniform circular motion in a vertical plane. When M is at its highest point, O is at its lowest point. What is the least time interval between successive instants when the acceleration of M is…

One way to model the allowed states of a hydrogen atom is to treat the atom’s single electron as a standing wave with a wavelength l . Which of the following could be the radius of the orbit of the electron in such a model? Select two answers. why is 2λ/π also a correct answer

The propeller of a World War II fighter plane is 2.1 m in diameter.What is its angular velocity in radians per second if it spins at 1180 rev/min?

How do you calculate centrifugal force?

At its lowest setting a centrifuge rotates with an angular speed of ω1 = 350 rad/s. When it is switched to the next higher setting it takes t = 7.5 s to uniformly accelerate to its final angular speed ω2 = 550 rad/s.Calculate the total angular displacement (in radians) of the centrifuge, Δθ, as…

A DJ starts up her phonograph player. The turntable accelerates uniformly from rest, and takes t1 = 12 seconds to get up to its full speed of f1 = 78 revolutions per minute.How many revolutions does the turntable make while accelerating in Case 1?

An amusement park ride rotates around a fixed axis such that the angular position of a point on the ride follows the equation: θ(t) = a + bt2 – ct3 where a = 2.7 rad, b = 0.35 rad/s2 and c = 0.035 rad/s3.Besides at t = 0, at what time t1 is the ride stopped? Give your answer in seconds.

On a frictionless horizontal air table, puck A (with mass 0.255 kg) is moving toward puck B (with mass 0.375 kg), which is initially at rest. After the collision, puck A has velocity 0.115 m/s to the left, and puck B has velocity 0.648 m/s to the right. Calculate ΔK, the change in the total…