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May 2023
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Physics 101 Mechanics Q&A Archive of May 10, 2023

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May 10 of 2023

Why, when we look through a telescope at things in space, are we seeing light from many years ago?

An air-track cart with mass m1=0.35kg and initial speed v0=0.95m/s collides with and sticks to a second cart that is at rest initially. Part A If the mass of the second cart is m2=0.44kg, how much kinetic energy is lost as a result of the collision? Express your answer to two significant…

55. ssm The (nonconservative) force propelling a \( 1.50 \times 10^{3}-\mathrm{kg} \) car up a mountain road does \( 4.70 \times 10^{6} \mathrm{~J} \) of work on the car. The car starts from rest at sea level and has a speed of \( 27.0 \mathrm{~m} / \mathrm{s} \) at an altitude of \( 2.00…

\( 15 \mathrm{ft} \) \( 25 \mathrm{ft} \)

For longitudinal vibrations of the system shown in the figure above \( E=110 \mathrm{GPa}, m=10 \mathrm{~kg}, \rho=2,7 \mathrm{~g} \mathrm{~cm} 3 \) / a) Find Equation of Motion b) Find boundary conditions c) Find frequency equation

53. ssm A roller coaster car ( \( 375 \mathrm{~kg}) \) moves from \( A(5.00 \mathrm{~m} \) above the ground) to \( B \) (20.0 m above the ground). Two nonconservative forces are present: friction does \( -2.00 \times 10^{4} \mathrm{~J} \) of work on the car, and a chain mechanism does \( +3.00…

51. The surfer in the photo is catching a wave. Suppose she starts at the top of the wave with a speed of \( 1.4 \mathrm{~m} / \mathrm{s} \) and moves down the wave until her speed increases to \( 9.5 \mathrm{~m} / \mathrm{s} \). The drop in her vertical (Pierre Tostee/Allsport/Getty Images)…

Sphere 1 of mass m and sphere 2 of mass 2m hang from light strings. Sphere 1 is pulled back, as shown above, and released from rest. Sphere 1 has kinetic energy K immediately before colliding with sphere 2. The two spheres stick together and move horizontally for an instant after the collision.…

1) A ball of weight \( Q=143.92 \mathrm{~N} \) rests oo a right-angled trough that made \( 30^{\circ} \) and \( 60^{\circ} \) with the horizantal to the left and right respectively. Determine the forces exerred on the sides of the trough at the point of contiat of the ball. (Assuming all…

A 2.87-kg book is at rest on a wooden board inclined at 21 degrees. Find the magnitude of the force of static friction.

A ball rolls off a horizontal table at 0.59 m/s and strikes the ground 0.36 m horizontally from the base of the table. How high is the table? Give your answer in meters (but only type the number into the answer field, not the units).

Wave 1 (in Red) and Wave 2 (in Blue) are moving through the same medium and undergoing interference. They have different wavelengths, frequencies, and amplitudes. For the five labeled points, identify the locations where constructive and destructive interference occur.

A billiard ball of radius R and mass M comes struck by a cue above its center, a distance 4R/5. The cue imparts an impulse instantaneous J to the ball, which, due to the friction, ends up rolling over without crawling. • Calculate the expression of the speed V with which the ball goes. • Show…

The red and the blue dots represented by the numbers “1” and “2” in the picture below are 6 and 3 cm away from the centre of the CD, respectively. The red dot rotates 2 revolutions in 3 sec. What is the angular velocity of the red dot. How much angle does the blue dot cover in 2 sec?

A caravan weighting 2400 kg is attached to a 2900 kg pickup truck by a ball-and-socket tow-bar at D. Determine the reactions at each of the six wheels when the truck and trailer are at rest.

A billiard ball of radius R and mass M is hit by a cue above its center, a distance 4R/5. The cue imparts an impulse instantaneous J to the ball, which, due to the attri to, ends up rolling over without crawling. 1. Calculate the expression for the speed Vo with which the ball goes. 2. Show…

I knew you was being span and the movie lab around the world if the zero. 555 mL long year are your completes two horizontal circles in 0.7 second find the velocity of the yo-yo in the circle

Derive an expression of the intensity I of the superposition of two plane waves of wavelength λ traveling in opposite direction along the z-axis sketch. Sketch I versus z.

The cross-section of a U-beam is shown in the figure below. (a) Determine the coordinates (x̅, y̅) of the U-beam centroid. (b) Determine the moment of inertia about the x- and y-axes.

3. A hockey puck of an unknown mass is sliding along ice that can be considered frictionless with a velocity of 10 meters per second. The puck then crosses over onto a rough floor that has a coefficient of kinetic friction equal to 0.2 . How far will the puck travel before friction stops…

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(11) A shop sign, ABCD, is modelled as a uniferm rectangular lamina of width \( 50 \mathrm{~cm} \). beight \( 40 \mathrm{~cm} \) and weight \( 60 \mathrm{~N} \). It is resting on a rough support at \( X \) with a horizental wire connected at \( A \). a Find, in serms of \( x \) whese…

A sphere of mass M and radius R is moving with speed V0 on a smooth horizontal plane without rolling. at a certain point the plan becomes rough, with coefficient of dynamic friction Ma. Due to friction THE sphere begins to roll and finally performs a motion of pure rolling. • Prove that in…

A car engine piston with a circular cross section of diameter 7.500±0.002cm compresses a gas a distance of 2.750±0.002cm in a cylinder. Include units as appropriate below.

1. (a) Find the mean kinetic energy of a beam of molecules which exits a small hole in a container at temperature \( T \). (10 points) (b) Suppose the molecules leaving the hole are collimated by a barrier with a second hole further downstream, so that only those molecules leaving the first…

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Q.1. A steel alloy contains \( 95.6 \mathrm{wt} \% \mathrm{Fe}, 4.0 \mathrm{wt} \% \mathrm{Si} \), and \( 0.4 \mathrm{wt} \% \mathrm{C} \), determine the phases that are present, the compositions of these phases, and the percentages or fractions of the phases using \( \mathrm{Fe}^{-F}…

The Earth moves around the Sun in a circular orbit with a radius of 1.5 × 108 km. What is the Earth’s approximate speed? A 1.5 × 10^3ms–1 B 5.0 × 10^3ms–1 C 1.0 × 10^4ms–1 D 3.0 × 10^4ms–1

The front door of a certain house is has rotational inertia 5.7 kg m2. The homeowner notices that if it is set into motion it swings 90.0° in 3.0 s before coming to a stop under the influence of only the friction in the hinges. (a) Determine the amount of torque due to friction. (b) Given…

A car travels a distance of 100 km. For the first 30 minutes it is driven at a constant speed of 80 km/hr. The motor begins to vibrate and the driver reduces the speed to 40 km/hr for the rest of the trip. The average speed for the entire trip is

9. The atomic weight of \( { }^{32} \mathrm{P} \) is 31.973910 . What is the value of \( \Delta \) in MeV?

The block A and cart B are stationary when the constant force P = 6 N is applied. Find the speed of the cart when the block has moved 0.6 m relative to the cart. Neglect rolling resistance of the cart, and note that the surface between the block and cart is rough.

A motor with a mechanical power of 8500 W extracts heat from a heat source at 420 K and emits the residual heat onto a 1000 kg block of ice at 0 °C. How long does it take for the block of ice to melt and what is the efficiency of the motor

Q20.When a mass suspended on a spring is displaced, the system oscillates with simple harmonic motion. Which one of the following statements regarding the energy of the system is incorrect? A The potential energy has a minimum value when the spring is fully compressed or fully extended. B The…

ACTVVITY : Al About Festivols! Directions: Choose the corect lestivol irom the box that is being descrioed by the statement. Whe vou onswer on ine sooce provideed. 1. It s so lestivol wherein 7 titbes are celebrated for their cutture. 2. Boguio City celebrotes this sestivol to show thei…

Soit le montage ci-contre qui contient les éléments suivant Un générateur - deux lampes L1 et L2 en série - un voltmètre \( \mathrm{V} \) mesure la tension électrique \( \mathrm{Ug} \Rightarrow 9 \mathrm{v} \) à la borme du générateur - un voltmètre \( V_{1} \) mesure la tension électrique \(…

help me with the whole question

A small body of mass m rests on a horizontal turntable at a distance r from the centre. If the maximum frictional force between the body and the turntable is 0.5mg, what is the angular speed at which the body starts to slip?

Q3/ Convert two of these parameters to the desired units. 1. \( 298.15 \mathrm{~K} \) to \( { }^{\circ} \mathrm{F} \). 2. \( 50 \mathrm{mb} \) to \( \mathrm{Pa} \). 3. \( 800 \mathrm{Knots} \) to \( \mathrm{m} / \mathrm{s} \)

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The part (with Sy=250 Mpa, and Sut=360 MPa) shown below is welded to a vertical support (with S=230 Mpa, and Sut=340 MPa) as shown below

Draw the AFD, SFD and BMD for the frame shown below.

Determine the magnitude of the components of the force F acting along and perpendicular to the pipe AO. Also, determine the angle made between the force F and pipe AO.

Calculating the Surface Tension of Water > If the length of the bar, \( L \), is \( 5 \mathrm{~cm} \) and the mass required to break the f Im is \( 0.5 \mathrm{~g} \), what is the surface Tension of the soap solution?

Determine the axial force in the member's CD, CE, FG, and FH, and indicate whether the members are in tension or compression.

The 3.75 KW and 1440 rpm electric motor is to drive the input shaft of a small [14] hammer mill at 700 rpm. Design a flat belt with a centre distance equal to twice the diameter of the larger pulley.

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5. Answer the following questions. (Any TWO) (A) A solid circular shaft is subjected to bending moment of \( 3000 \mathrm{Nm} \) and a torque [07] of \( 8000 \mathrm{Nm} \). The shaft is made of steel having ultimate tensile stress of \( 700 \mathrm{MPa} \) and ultimate shear stress of \( 400…

4. The \( 3.75 \mathrm{KW} \) and \( 1440 \mathrm{rpm} \) clectric motor is to drive the input shaft of a small [14] hammer mill at \( 700 \mathrm{rpm} \). Design a flat bell wilh a centre distance equal to twice the diameter of the larger pulley.

What is Bernoulli's principle

\[ \mathrm{t}=12,5 \mathrm{~mm}, \mathrm{~h}=177,7 \mathrm{~mm}, \theta=5 \text { derece } \] ?ekilde gösterilen yar?m I kesit 12,8 kNm'lik e?ilme momenti etkisindedir. Tarafs?z eksenin y ekseniyle yapt??? aç? \( (\beta) \) kaç derecedir? Cevaplar?n?z? 2 hane hassasiyetinde yaz?n?z. Ondal?k…

The diagram given below shows two uniform rigid rods AB and CD that are leaning against each other while standing in the same vertical plane on a rough horizontal surface with coefficient of friction mu. The rod AB has mass 1,9kg and length 1,5m and the rod CD has mass 2,8kg and length 2,2m.If…

A metal plate is placed \( 5 \mathrm{~m} \) from a monochromatic light source whose power output is \( 10^{-3} \mathrm{~W} \). Consider that a given ejected photoelectron may collect its energy from a circular area of the plate as large as ten atomic diameters \( \left(10^{-9}…

Two charged thin infinite plane sheets of uniform surface charge density \( \sigma_{+} \)and \( \sigma_{-} \), where \( \left|\sigma_{+}\right|>\left|\sigma_{-}\right| \), intersect at right angle. Which of the following best represents the electric field lines for this system?

Prove that a triangular section with the sides inclined at 45 is the optimum triangular section.

In building construction it is common to build a... In building construction it is common to build a floor or a roof on temporary supports which... 1 answer below » In building construction it is common to build a floor or a roof on temporary supports which permit "leveling up " before setting…

Sample Problem1: An airplane from rest accelerates on a run way at \( 5.50 \mathrm{~m} / \mathrm{s}^{2} \) for \( 20.25 \mathrm{~s} \) unti7 it finolly takes of the ground. What is the dirtance covered before take off?

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\( 3.5 \mathrm{wt} \% \) of tin where \( A_{\mathrm{Cu}}=63.5 \mathrm{~g} / \mathrm{mol} \) and \( A_{\mathrm{Sn}}=118.7 \mathrm{~g} / \mathrm{mol},=8.96 \mathrm{~g} / \mathrm{cm}^{3} \) and \( =7.31 \mathrm{~g} / \mathrm{cm}^{3} \), Find: a) Mass of \( \mathrm{Cu} \) and \( \mathrm{Sn} \) in…

Question 3 2 pts The shape of the trajectory of an object undergoing projectile motion is a (n) parabola exponential hyperbola straight line

Question 2 says that the flow speed of a fluid from a small hole a depth h below its top is the same as an object free falling from a height \( h \). Torricelli's Law Pascal's Law No answer text provided. Archimede's Principle

158 3. Jika \( z=\ln \sqrt{u^{2}+v^{2}+w^{2}} \), tentukanlah \( \frac{\partial z}{\partial u} ; \frac{\partial z}{\partial v} ; \frac{\partial z}{\partial w} \).

1 what is the acceleration of each block? 2 what is the tension in the rope between the blocks?

D. Generalization Using the circuit below, complete the given table. Write your complete solutions on a separate sheet of intermediate paper. \begin{tabular}{|c|c|c|c|c|} \hline & \( R(\Omega) \) & \( I(A) \) & \( V(M) \) & \( P(M) \) \\ \hline\( R_{1} \) & \( 1.0 \Omega \) & & & \\ \hline\(…

2. Convertir la velocidad angular de \( 80 \frac{\text { grados }}{\mathrm{s}} \) en: a) \( \frac{\mathrm{rev}}{\mathrm{s}} ; \) b) \( \frac{\mathrm{rev}}{\mathrm{min}} ; \) c) \( \frac{\mathrm{rad}}{\mathrm{s}} \). Respuesta. a) \( 0,22 \frac{\mathrm{rev}}{\mathrm{s}} \); b) \( 13,33…

Stanley jumps up off a pier with an initial velocity of ( 4.2 mathrm{~m} / mathrm{s} ) at an angle of ( 30^{circ} ). How far from the pier will he hit the water? (Assume the level of water is the same as the pier)

Objoctives: You Raise Me Up! - Determine the inilial velocity of a ball thrown upward: - Record the timo for the ball to reach the ground; - Calculthe time for the ball to reach its maximum height; and Materials: upward. the maximum height reached by the ball thrown vertically stopwatch ball…

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An air-track cart with mass m1=0.35kg and initial speed v0=0.95m/s collides with and sticks to a second cart that is at rest initially. Part A If the mass of the second cart is m2=0.44kg, how much kinetic energy is lost as a result of the collision? Express your answer to two significant…

A 2.87-kg book is at rest on a wooden board inclined at 21 degrees. Find the magnitude of the force of static friction.

A ball rolls off a horizontal table at 0.59 m/s and strikes the ground 0.36 m horizontally from the base of the table. How high is the table? Give your answer in meters (but only type the number into the answer field, not the units).

Wave 1 (in Red) and Wave 2 (in Blue) are moving through the same medium and undergoing interference. They have different wavelengths, frequencies, and amplitudes. For the five labeled points, identify the locations where constructive and destructive interference occur.

The red and the blue dots represented by the numbers “1” and “2” in the picture below are 6 and 3 cm away from the centre of the CD, respectively. The red dot rotates 2 revolutions in 3 sec. What is the angular velocity of the red dot. How much angle does the blue dot cover in 2 sec?

A caravan weighting 2400 kg is attached to a 2900 kg pickup truck by a ball-and-socket tow-bar at D. Determine the reactions at each of the six wheels when the truck and trailer are at rest.

Derive an expression of the intensity I of the superposition of two plane waves of wavelength λ traveling in opposite direction along the z-axis sketch. Sketch I versus z.

A sphere of mass M and radius R is moving with speed V0 on a smooth horizontal plane without rolling. at a certain point the plan becomes rough, with coefficient of dynamic friction Ma. Due to friction THE sphere begins to roll and finally performs a motion of pure rolling. • Prove that in…

A car engine piston with a circular cross section of diameter 7.500±0.002cm compresses a gas a distance of 2.750±0.002cm in a cylinder. Include units as appropriate below.

The Earth moves around the Sun in a circular orbit with a radius of 1.5 × 108 km. What is the Earth’s approximate speed? A 1.5 × 10^3ms–1 B 5.0 × 10^3ms–1 C 1.0 × 10^4ms–1 D 3.0 × 10^4ms–1

A car travels a distance of 100 km. For the first 30 minutes it is driven at a constant speed of 80 km/hr. The motor begins to vibrate and the driver reduces the speed to 40 km/hr for the rest of the trip. The average speed for the entire trip is

A motor with a mechanical power of 8500 W extracts heat from a heat source at 420 K and emits the residual heat onto a 1000 kg block of ice at 0 °C. How long does it take for the block of ice to melt and what is the efficiency of the motor

Q20.When a mass suspended on a spring is displaced, the system oscillates with simple harmonic motion. Which one of the following statements regarding the energy of the system is incorrect? A The potential energy has a minimum value when the spring is fully compressed or fully extended. B The…

A small body of mass m rests on a horizontal turntable at a distance r from the centre. If the maximum frictional force between the body and the turntable is 0.5mg, what is the angular speed at which the body starts to slip?

Help me find the solutions to this question please

1 what is the acceleration of each block? 2 what is the tension in the rope between the blocks?

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