Physics Questions and Answers November 21, 2022

A uniform stick of length L=2.7 m, width W=10.6 cm, and mass M=4.8 kg oscillates as a physical pendulum and pivots about point 0 as shown in the Figure. What is the period of the pendulum if x, the distance from the pivot point to the center of gravity of the pendulum, is equal to 0.60 m ?

Three solid, uniform boxes are aligned as in the figure below. Find the x - and y-coordinates (in m ) of the center of mass of the three boxes, measured from the bottom left corner of box A. (Consider the three-box system.)

Origin 0.240 m A 0.850 kg 0.320 m B 1.00 kg 0.120 m C. 0.550 kg 0.438 m

A+2.0 D lens is being used to make an image of a distant object on a screen. The image is 2.6 cm tall. A second +2.0 D lens is added to the first, and the lens combination is moved to refocus the image. How tall is the new image?

A proton is released from rest in a uniform electric field of magnitude 366 NC. (a) Find the electric force on the proton. magnitude 4.0 N direction Select (b) Find the acceleration of the proton. magnitude 4.0 ms direction Select (c) Find the distance it travels in 1.92 us. 4.0 cm

The sun approximates an ideal blackbody radiator at a temperature of 5825 K. (a) By Wien's Law, what is the peak wavelength of this distribution? (b) What is the energy of a blackbody photon at this wavelength? (c) Is this photon in the visible band of the electromagnetic spectrum and why or why not? (d) The Cosmic Microwave Background has a

An observer experiences a sound wave intensity 1.5010 5 Wm 2 at a distance 4.80 m from a source which emits wave in all direction. What is power of the source?

a. What is the frequency? b. What is the wavelength? c. What is the speed of the wave?

The sound wave emitted from a loudspeaker has a pressure given by Ap 1.34 sin((n4)(2.69x 456.0t)) Nm, where x is the position along the wave in meters and t is the time in seconds. What is the pressure amplitude

A dancer slides across a stage on his knees as a part of a dance step. After a point, the sliding stops due to friction. If the dancer slows down from 4.0 ms to 2.0 ms in 5. 0 S, how far does he travel (in m) before stopping

If 30% of light is transmitted through 20 km of optical fiber, then what % of light will be transmitted through 40 km of the fiber?

A pulse is sent traveling along a rope under a tension of 36 N whose mass per unit length abruptly changes, from 11 kg/m to 30 kg/m. The length of the rope is 2.7 m for the first section and 3.0 m for the second, and the second rope is rigidly fixed to a wall. Two pulses will eventually be detected at the origin: the pulse that was reflected from

A spool with thread wound around it is initially at rest at the top of a frictionless incline. The spools center of mass is initially at a height h 15 cm from a reference height. The incline makes an angle 31 with respect to the horizontal. One end of the thread, which is parallel to the incline, is attached to the wall. The rest of the thread is

A block of ice at 273 K is put in thermal contact with a container of steam at 373 K, converting 27.5 g of ice to water at 273 K while condensing some of the steam to water at 373 K. (a) Find the change in entropy of the ice. (b) Find the change in entropy of the steam. (c) Find the change in entropy of the Universe.

A 4.40 kg block of ice at 273 K encased in a thin plastic shell of negligible mass melts in a large lake at 294 K. At the instant the ice has completely melted in the shell and is still at 273 K, calculate the following changes in entropy. (a) that of the ice AS JK (b) that of the lake (which essentially remains at 294 K) AS JK (c) that of the

A new car is tested on a 290 -m-diameter track. If the car speeds up at a steady 1.3 m/s 2 , how long after starting is the magnitude of its centripetal acceleration equal to the tangential acceleration?

A 1-meter length of wire of mass 1 kg is curved into a circle and another 1 -kg length of wire is soldered to it, with the center of the straight wire attached tangentially to the circle. Where is the center of mass of the two wires?

A single turn coil of radius 4.50 cm is held in a vertical plane and a magnet is rapidly moved relative to the coil as shown in the diagram below. N coil The field inside the coil changes from 0.480 T to 0.375 T in 0.120 s. If the resistance of the coil is 3.70 2, what are the magnitude and direction of the induced current in the coil as viewed

A long, straight wire carrying a current of 3.45 A moves with a constant speed v to the right. A 5turn circular coil of diameter 1.25 cm, and resistance of 3.25 2, lies stationary in the same plane as the straight wire. At some initial time, the wire is at a distance d 11.0 cm from the center of the coil. 4.55 s later, the wire is at a distance

When a magnetic field is first turned on, the flux through a 40 -turn loop varies with time according to m =4.0t 2 4.0t, where m is in milliwebers, t is in seconds, and the loop is in the plane of the page with the unit normal pointing outward. What is the emf (in mV ) induced in the loop as a function of time?

For the circuit shown in the figure, the current in the 8. resistor is 0.50 A. What is the current in the 20?

m 1391 m U8 w 200

A box of 25 kg is released from rest on a rough inclined plane and slides to the bottom. The plane is inclined at a 28 0 angle to the horizontal and it is 3.4 m high. The coefficient of kinetic friction between the box and the plane is 0.3 . A. How much work is done by the normal force? B. How much work is done by the gravitational force during

A long straight wire carries a current of 3.40 A as shown in the figure. The distance r 10.0 cm, r 20.0 cm, and 19.0 cm. Determine the magnitude of the magnetic flux through the area shown. Wb

A789 g toy car is propelled by a spring gun with spring constant k 85 Nm and maximum compression of 20 cm. The car is fired at a ramp with an angle of 39. Ignore friction and rotation of the wheels. A. Briefly describe the processes from right before the car was released till it reaches the maximum height on the ramp. B. What will be the speed of

The sketch shows a wave at two different times, separated by 7.2 ms. t0 s V y (cm) 10 8 6 4 2 10 8 6 4 2 a) What are the amplitude and wavelength of the wave b) What is the speed of the wave c) What is the frequency of the wave IN 4 LO 6 8 10 N 2 4 t in ms 6 8 8 10 x (m)

For an organ pipe that is 2.3 m long and open at both ends and filled with air at 20C, a) what is the wavelength of the fundamental mode b) what is the frequency of the fundamental mode c) what is the frequency of the fifth harmonic

A particle of mass 167 g is attached to a horizontal spring and set into oscillatory motion on a frictionless surface by stretching the spring by 67 cm from its equilibrium length at t0.00 s. The particle is found to oscillate with a period of 0.35 S. a. What is the maximum kinetic energy of this system b. What is the position of the particle at

The Goodyear blimp we usually see hovering above our heads at a football game contains 5200 m 3 of helium gas. If there are 1100 kg of gas at an absolute pressure of 1.1010 5 Pa in the blimp, what is the temperature of the gas? The atomic mass of helium 4.00260 g/mol.

Each molecule of the diatomic gas carbon monoxide contains one carbon atom and one oxygen atom. If at 0 C, its pressure is 4.1010 5 Pa, treat it as an ideal gas and find the density of carbon monoxide. The atomic mass of carbon is 12.0 u and for oxygen.it is 16.0 u.

A cylinder has a piston at one end that can be moved in or out to change the volume of gas inside. The other end is fitted with a valve. Initially the cylinder contains 4.35 mol of an ideal gas. The piston is now pushed in to decrease the volume of gas to two-fifths its initial value without causing any change in temperature. In order to keep the

piston cylinder valve

Suppose your 70.0 L(18.5gal) steel gasoline tank is full of gas, both the tank and the gas have a temperature of 15.0 C. The coefficient of volume expansion for gasoline is 95010 6 / C and for steel is 3510 6 / C. (a) How much gas has spilled by the time they warm to 44.0 C ? (b) Suppose the 70.0 L tank is sealed, preventing the gasoline from

As part of their end of semester project, students in a science class are asked to devise a temperature scale. The diagram below shows the work of two of the students Paul and Simon. P 16.0P and P 140P correspond to the melting point of ice and boiling point of water respectively on the Paul scale, while S9.00S and S 70.0S correspond to the

The horn on a commuter train emits sound with a frequency of 348.3 Hz when the train is at rest. The train sounds its horn as it passes a passenger platform at a constant speed of 41 ms. What overall change in frequency is detected by a person on the platform as the train moves from approaching to receding Remember that change of frequency means

A skyrocket explodes at a height h 73 m above the ground (see figure). Three observers are spaced 100 m apart, with observer A directly under the point of the explosion. Neglect the height of the observers. h 100 m (0.02) 100 m (a) What is the ratio of sound intensities heard by observers A and B Caution We want the ratio of intensities (in Wm2),

You observe a moving object. Its distance from you with time is shown in the following diagram. How far was the object from you after 3 seconds (A) 10 m (B) 20 m (C) 30 m (D) 40 m (E) 0 Distance (m) 20 10 0 2 3 time (s)

An aluminum clock pendulum having a period of 1.0000 s keeps perfect time at 20.0C. (a) When placed in a room at a temperature of 8.3 C, will the clock gain time (run fast) or lose time (run slow) The coefficient of linear 2.4 10 5(C). expansion for aluminum is a OA. gain B. lose (b) How much time will the clock gain or lose every hour Enter your

You and your friend Hodges are conducting an experiment with light. Hodges points a light source at you and you measure the peak magnetic field value as B=2.2T. (a) What is the maximum magnitude of the electric field? (b) What is the maximum intensity of the light source? What is the relationship between intensity and the maximum electric field?

A 5 kg solid disk having a 15 cm radius does a full rotation once every 4.0 seconds. 1. What is the moment of inertia of the disk? . 2. What is the angular speed of the disk? 3. What is the angular momentum of the disk?

At the instant of picture shown, the 6 kg bar is at rest. The unstretched spring (spring constant of 90 Nm) is attached to its end so, that is always remains vertical due to the frictionless roller at C. When the bar released, it started rotate clockwise. Solve the angular velocity of the bar the instant it has rotated 30 clockwise. 1,0 m HHHH

For a spring oscillator, when does the oscillating mass move at max speed a) When it passes the middle point (equilibrium position). b) When it is at its highest point. c) When it is at its lowest point.

The density of lead is 1.13 x 104 kgm at 20.0C. Find its density (in kgm) at 142C. (Use a 29 x 106 (C) for the coefficient of linear expansion. Give your answer to at least four significant figures.)

water is slowly warmed from 15 degrees to 65 degrees , if the mass of the water is 200g , what is the water entropy change in (J/K)?

How fast can the 145 A current through a 0.300 H inductor be shut off if the induced emf cannot exceed 80.0 V S,A solenoid has an inductance L 2.65 H. The timedependent induced emf in the solenoid is given by the expression E Enebt, where o 2.75 mV and the constant b 1.80 s. Consider the time interval measured from t 0 to a very long time

A 1.90 kg solid, uniform sphere of radius 0.140 m is released from rest at point A in the figure below, its center of gravity a distance of 1.90 m above the ground. The sphere rolls without slipping to the bottom of an incline and back up to point where it is launched vertically into the air. The sphere then rises to its maximum height hmax at

Two identical horizontal sheets of glass have a thin film of air of thickness t between them. The glass has refractive index 1.40. The thickness t of the air layer can be varied. Light with wavelength A in air is at normal incidence onto the top of the air film. There is constructive interference between the light reflected at the top and bottom

A 50.0 cm x 35.0 cm rectangular coil of 22 turns lies in the horizontal (xz) plane with its 50.0 cm side along the x axis and its 35.0 cm side along the z axis. The coil is in the region of a magnetic field B (3.05 x 102 Tms)ztj (3.80 x 102 Tm)xk. (a) Determine the magnitude of the induced emf. mV

5. A 50kg glider is moving to the right at 1 ms. It collides totally inelastically (they stick together) with a 50g glider. Predict the motion of the gliders after the collision. The gliders are stopped The gliders move to the right at about 1 ms O The gliders move to the right at about 12 ms 6. The total mass of the two gliders is unchanged after

3. A new experiment is observed with a light glider running into a wall and sticking. What would the slope of the graph be after the collision O Positive ONegative O Zero

A 8.51 kg bowling ball collides head on with a 2.06 kg bowling pin. The pin flies forward with a velocity of 1.61 ms. If the ball continues forward with a speed of 2.62 ms, what was the initial velocity of the ball Record the velocity to 2 decimal places. Do NOT include the ms unit. MbVb MpVp MbVb MpVp

A crane is found to be 65 efficient in transforming the energy in diesel into energy that lifts a load. 1. Name the type of energy that exists before the crane lifts and object and the type(s) of energy that exist after an object is lifted. 2. If a 600 kg object is lifted 25 m by this crane how much energy did this crane use 3. What is the

A spacecraft is traveling at 0.9c relative to earth. An astronauts heart rate is measured on the spacecraft at 70 beatsmin. (a) What is the proper heart rate (b) What is the heart rate measured by an observer able to view this heartbeat from the rest frame of Earth,4. The lifetime of a muon is 2.2 s traversing the atmosphere at 0.98c (average)

Show that the angular momentum algebra can be written equivalently through a vector product J x ih Where is the angular momentum operator vector with components Je with i 1, 2, 3

The container shown in the figure is filled with a fluid which has density 1200 kgm. It is open to the atmosphere on the left. (Figure 1) You may want to review (Page).,C. A. B. y (cm) 100 75 60 50 25 to,What is the gauge pressure at point A Express your answer using three significant figures. PA Pa,What is the gauge pressure at point C Express

How fast must the athlete run before take-off to be able to get over the bar?

The world record for the mens pole vault is 5.8 m. To clear this height, the athlete must raise his centre of mass about 4.6 m off the ground. The mass of the man is 68 kg. (assume that ALL his kinetic energy is converted to potential energy at the top of his jump.)

n 3.72 mol of Hydrogen gas is initially at T 306.0 K temperature and p 2.56x105 Pa pressure. The gas is then reversibly and isothermally compressed until its pressure reaches pf 9.92x105 Pa. What is the volume of the gas at the end of the compression process How much work did the external force perform How much heat did the gas emit How much

There is evidence that elephants communicate via infrasound, generating rumbling vocalizations as low as 14 Hz that can travel up to 10 km. The intensity level of these sounds can reach 105 dB, measured a distance of 4.7 m from the source. Determine the intensity level of the infrasound 10 km from the source, assuming the sound energy radiates

Stefan-Boltzmann Law, link:

The emissivity of the human skin is 97.0 percent. Use 35.0 C for the skin temperature and approximate the human body by a rectangular block with a height of 1.78 m, a width of 38.5 cm and a length of 33.5 cm. Calculate the power emitted by the human body. Hints Calculate the total surface area of the body. Convert the body temperature from Celsius

The stressenergy tensor for dust particles is T PUU where U is the four velocity of the dust particles and the scalar function p is the proper mass density (i.e., the mass density in the frame in which the dust is momentarily at rest, the MCF). Show that the covariant conservation law T 0 implies that the dust particles follow geodesics, UVU, 0.

Suppose you start with 262g of ice at 0 C. Calculate the amount of heat energy that must be transferred to convert the ice to steam at 100 C. Calculate your answer in terms of kJ but do not enter units with you answer only numbers. Do not use scientific to enter your answer to this question. (Use 334kJkg for the latent heat of fusion 2.26X10kJkg

The figure below is a graph of an electric potential as a function of position. If a positively charged particle is placed at point A, what will its subsequent motion be O go to the left O go to the right O oscillate around point B O remain at point A

Define A N R by A(n)log p. if n is a power of a prime p. A(n)0 otherwise. For (x) A(n) show M(x) (()C(a). Gauss proposed the approximation Lix) T 1 dt. logt of (a). Show Li(x) log Hint an upper estimate for Li may e.g. be obtained by partial integration of

Consider a molecule that can be in one of two different conformation states A or B. These states are two different arrangements of the atoms e.g., in state B, one part of the molecule could be rotated about a bond with respect to the rest of the molecule. Assume the energies of states A and B are 4e21 and 8e21 J respectively. At room temperature,

A child of mass m is standing at the edge of a carousel. Both the carousel and the child are initially stationary. The carousel is a large flat, uniform disc of mass M, and radius R, which turns on a frictionless pivot at its center. It has moment of inertia MR2. The child is very small compared to the carousel. The child starts to run around the

An electromagnetic wave has a maximum electric field strength of 340 V/m and a wavelength of 12m. a. What is the frequency of this wave? b. What is the intensity of this wave? c. Write an equation for the magnetic field strength of this wave in the form B(x,t)=B 0 sin(kxt). Be sure to include appropriate units. d. What is the magnetic field

Quarks and antiquarks are spinfermions. In the quark model, a meson is a bound state of a quark and an antiquark with relative orbital angular momentum l 0. (a) What are the possible meson spins (the values of the total spin quantum number S associated with 52 (S S)) in the quark model (b) The quarkantiquark system experiences an interaction of

An electron (spin s 12) in an 1 state of orbital angular momentum can be decom posed by 10 2012. Let us find the first few coupled states ls JM) in terms of the uncoupled basis Ils mems), using the ladder operators. 33 (a) Write down the highest M state, 11 32), in terms of the uncoupled basis. 31 (b) Use the lowering operator to obtain the

In the circuit below the capacitance is C=40.0mF and the inductance is L=65.0H . The capacitor is fully charged when the switch S is closed. Calculate the time needed for the energy initially stored in the capacitor to be completely transferred to the inductor.

C 20 2. elle

A scanning laser sensor is used to measure range information D as shown in Figure 3. Laser L15cm Beam splitter Phase measurement D Reflecting surface Outgoing beam Returning beam Figure 3 Object Explain the working principle of this sensor and show how range information can be obtained. The modulation wavelength of the emitted laser is 10 meters.

One end of a cord is fixed and a small 0.300kg object is attached to the other end, where it swings in a section of a vertical circle of radius 3.00 m as shown in the figure below. When 8 22.0, the speed of the object is 5.00 ms. At this instant, find each of the following. (a) the tension in the cord T N (b) the tangential and radial components

A vertical cable supports two vehicles, a 1,207 kg convertible and a 1,461 kg van, with the convertible directly above the van. The cable is attached to a crane, which lifts the vehicles with an acceleration 1.26 ms. At one moment the convertible is moving at a speed of 3.40 ms. Assume the cable does not stretch. (a) How do the velocity and

A 14.5 g bullet is moving to the right with speed 210 m/s when it hits a target and travels an additional 24.2 cm into the target. What are the magnitude (in N ) and direction of the stopping force acting on the bullet? Assume the stopping force is constant.

A 2.00 kg solid, uniform sphere of radius 0.100 m is released from rest at point A in the following figure, its center of gravity a distance of 1.50 m above the ground. The ball rolls without slipping to the bottom of the incline and back up to point B where it is launched vertically into the air. The ball rises to a point where its center of

A container has a vertical tube, whose inner radius is 20 mm, connected to it at its side, as shown in the figure. An unknown liquid reaches level A in the container and level B in the tube. Level A is being 5.0 cm higher than level B. The liquid supports a 20 cm high column of oil, between levels B and C, whose density is 840 kgm. Find the

A doctor using 3MHz ultrasound measures a 6500 Hz frequency shift as the ultrasound reflects from blood ejected from the heart through the aorta. Assuming that blood inside the heart is essentially at rest and the patient is lying down, what is the difference in blood pressure between the inside of the heart and the aorta? Treat blood as an ideal

High presse Aorta Low pressure Hear

A projectile with a mass m moving in a 2-D plane (OXZ), with x in the horizontal direction and z in the vertical direction pointing upwards: 1- Deduce that the potential energy of the projectile is given by: L=1/2m(x 2 +z 2 )+mgz 2- By using the Lagrangian method write the motion equations along x and z-directions. 3- By using the Hamiltonian

(a) What is the tension in rope . (b) Find the mass of Lucinda. (c) Determine the magnitude of the tension in rope.

Lucinda has tied up her painting platform (without the help of her knowit all sister Sofia) in a very unusual way. Instead of using two vertical ropes, she has used three ropes, as shown. The platform is 4 meters long and has a mass of 27 kg. The tension in rope 1 is 800 N.

Consider a gas with N=1023 molecules. Initially, the gas is contained in one half of a box, but eventually it is allowed to fill the remaining half. 1. Compute the change of entropy by counting the number of micro-states. 2. Use the Stirling Approximation to rewrite the computation above for very large N . 3. Compute the change of entropy again,

Write out the equations needed to solve for the acceleration of the blocks and the tensions in the strings in terms of the following known quantities m, m2, m3, mpulley, Rpulley, g, s, k, 0. There is friction. Box 2 is moving to the right (block 1 goes up and block 3 goes down). The two pulleys are identical and are solid disks. 0 2 3

A 36g ice cube floats in 160 g of water in a 100g copper cup all are at a temperature of 0C. A piece of lead at 86C is dropped into the cup, and the final equilibrium temperature is 12C. What is the mass of the lead (The heat of fusion and specific heat of water are 3.33 x 105 Jkg and 4,186 Jkg C, respectively. The specific heat of lead and copper

A 40g block of ice is cooled to 74C and is then added to 630 g of water in an 80g copper calorimeter at a temperature of 26C. Determine the final temperature of the system consisting of the ice, water, and calorimeter. (If not all the ice melts, determine how much ice is left.) Remember that the ice must first warm to 0C, melt, and then continue

How much energy is required to change a 50 g ice cube from ice at 20 C to steam at 140 C ?

Find the flux density at a distance of 20 cm from a north pole of strength 550 amp-meters in a medium with relative permeability 50 . Also find the force on another north pole of equal strength at this distance. Assume that the south poles are at a large distance.

A small bolt with a mass of 27.0 g sits on top of a piston. The piston is undergoing simple harmonic motion in the vertical direction with a frequency of 3.45 Hz. Use g 9.81 ms for the acceleration due to gravity. What is the maximum amplitude Amax with which the piston can oscillate without the bolt losing contact with the bistons surface Amax m

1. Explain why the Higgs potential of a complex scalar field can only contain terms with even powers of , such as V() 4, where . 2 2. One of the channels used to discover the Higgs boson was Hyy. For a H yy decay with photon energies E and E, and the opening angle 0 between them, show that the invariant mass mh of the Higgs boson is given by

wo trains emit whistles of the same frequency, 420 Hz. Bill is standing next to one of the train at rest, the other is traveling 100 km/hr away from Bill. What will Bill detect as the beat frequency? (Assume speed of sound is 335 m/s)

A student sits on a pivoted stool while holding a pair of weights in his outstretched arms. The stool is free to rotate about a vertical axis with negligible friction. The moment of inertia of the student is I 2.25 kgm. The student is set in rotational motion with arms outstretched. You time the students rotational period and find that they

A wire of length 1 m is bent into a loop in the shape of a square. A constant current of 2 A runs through the wire. a) Calculate the magnetic field at the center of the square. b) Now suppose the same wire is made into a single circular loop instead of a square. What is the magnetic field at the center for this configuration?

A 200 V, dc series motor takes 20 A when running at 1000 rpm. Calculate the speed at which the motor will run and the current taken from the supply if the field is shunted by a resistance equal to the field resistance and field is reduced to 70 .Assume the load torque remains the same. Armature resistance 0.502, field resistance 0.2 2. (3 Marks)

0 V,A ring (hollow cylinder) of mass 2.31kg, inner radius 7.80cm, and outer radius 9.25cm rolls (without slipping) up an inclined plane that makes an angle of 839.1, as shown in the figure below. At the moment the ring is at position x 2.02m up the plane, its speed is 2.91ms. The ring continues up the plane for some additional distance and then

The minute hand of Big Ben, the famous Parliament Building tower clock in London, is 4.23m long and has a mass of 98.7kg. a. Calculate the angular momentum of the minute hand. b. The hour hand has a length of 2.36m and a mass of 89.8kg. Calculate the angular momentum of the hour hand.

How much work is done by the horizontal force Fp 150 N on the 18kg block of the figure(Figure 1) when the force pushes the block 5.5 m up along the 32 frictionless incline Express your answer using two significant figures.,How much work is done by the gravitational force on the block during this displacement Express your answer using two

Assume that a force acting on an object is given by Faxi byj, where the constants a 3.1 Nm and b 4.2 Nm.,Determine the work done on the object by this force as it moves in a straight line from the origin to F (12.01 21.5))m Express your answer using two significant figures.

2. Consider a model of a solid where electrons are attached to stationary ions by a spring of spring constant x, so that each electron has a resonant frequency wo km. Assume there are electrons per unit volume (and an equal number of positively charged ions per unit volume, but the ions are too massive to move in response to the wave electric

Calculate the x coordinate of the centre of mass of the 3 segments combined. (express your answer in mm with one decimal place)

m1 10.0 kg m2 5.00 kg m3 2.00 kg 3 x1200 mm, y180.0 mm 2 x2240 mm, y235.0 mm x3190 mm, y310.0 mm

A constant force F 2.11 4.01 N acts on an object as it moves along a straightline path. If the objects displacement is d 1.91 4.2m, calculate the work done by using these alternate F ways of writing the dot product,Calculate the work done by using these alternate ways of writing the dot product W Fd cos 0. Express your answer using two

What is the event horizon radius m for the sun if it were to collapse to a Schwarzschild black hole (Mun 1.99 x 10kg). Would Earths orbit be altered if this were to occur and why

Determine the internal normal force, shear force, and moment at point C. 30 kN 1.5 m 1.5 m 3 m 50 KN 3 m 30 25 kN

O 5.4 m 8.8 m 40m 074m 023m,The drawing shows two 4.5kg balls located on the y axis at 1.0 m and 9.0 m, respectively, and a third ball with a mass 6.0 kg which is located at 6.0 m. What is the location of the center of mass of this system y (m) 10.0 8.0 6.0 4.0 2.0 He 4.5 kg 6.0 kg 4.5 kg

Given that Newtons Law of gravity makes the gravitational potential energy negative, we have the very intriguing possibility that a satellite could have a total energy of zero (a.) What special condition must the kinetic and gravitational potential energies obey in order for the total energy to be zero.,(b.) Show that the angularmomentum

) What is the corresponding de Broglie frequency (with vf),Waveparticle duality of light extends to matter particles by the de Broglie hypothesis. If an electron in free space is in thermal equilibrium with Cosmic Microwave Background (CMB) photons at 2.73K, and assuming electron motion can be modeled as an ideal gasparticle, (a) What is the