Physics Questions and Answers November 09, 2022

Most galaxies have a supermassive black hole at the centre. Describe two methods by which these black holes accumulate mass. (b) The gravitational wave frequency range currently probed by ground experiments like LIGO is from 10 Hz to 10 kHz, and targets astrophysical black holes with typical masses of order 1100M. Why can current ground based

A pulley has an initial angular speed of 13.6 rads and a constant angular acceleration of 3.62 rads2. Through what angle (in rad) does the pulley turn in 4.09 s

2. Assume we have 30 g of HO in a 10 L container at 298 K. The vapor pressure of water is 23.76 torr at 298 K and its density is 1 g cm3. a) At what volume would only vapor be present b) At what volume would only liquid be present c) What phases are present under the initial condition given above Hint be careful about units.

The polar coordination for the following RLC total impedance is (in (Q) 6.Q 240 mmm. 16Q Select one O 10 Ztan 4 O 10 Ztan (43) O 5 cos 6 5 Ztan (43)

How does electromagnetic induction work, and what are its applications in electrical engineering?

What is the difference between static and dynamic equilibrium in the context of mechanical systems? Provide examples of each.

Find the Thevenins opencircuit voltage VTH, the Thevenins equivalent resistance RTH and the maximum power that can be delivered to the resistor R in the circuit of Figure 3 (refer to Figure 3 for questions 7, 8 and 9). 20 V 352 252 R 10 V 58. Figure 3 Instructions Please answer in real numbers for all the questions Q7. The Thevenins opencircuit

1 A particle moves along the x axis. Its position varies with time according to the expression x(t)4t2t m. Determine the displacement and average velocity of the particle in the time interval t0 s to t 1 s and from t 1 stot 3 s 2 The velocity of a particle moving along the xaxis varies in time according to the expression Vx405tms (a) Find the

A frictionless and leakproof piston with a de (in kg) and negligible thickness, is in equilibrium as shown in the figure with gas below it and water above it till the top. The crosssectional area of the cylinder is A (in m) and the total length is L (in m). A linear spring with a stiffness K (in Nm) is placed inside the cylinder, which is

For each of the following a. Identify the Nu. b. C. i. Is it strong or weak (Use your knowledge of pKa and charges) Identify the E and LG. i. Remember, you can use your knowledge of pKa to determine what is a good LG ii. iii. If there is no Nu, is there a base If so, identify the base. OTS i. Is the base strong or weak (Use your knowledge of pKa

The treasury yield rates on January 1, 2020 for different maturities are given below. Maturity (years) 1 2 3 4 Yield () 1.56 1.58 1.59 1.63 Based on this information estimate the following as perceived by the market. 1year treasury yield rate on January 1, 2021 1year treasury yield rate on January 1, 2022 1year treasury yield rate on January 1,

For the system shown in Fig. 5, the input is the small 1cm diameter capstan. The cable is terminated and tensioned on the 8cm output. The friction coefficient between the cable and the capstan is 0.7. Given a cable pre-tension of 20N, what is the preload force experienced by the shaft supporting the input capstan? Given a cable pre-tension of 20 N

M 8 cm dia 45 deg 1 cm dia 45 deg Figure 5 Capstan drive, single stage.

Steam enters an adiabatic turbine at 80 bar, 400 C and leaves at 1 bar and saturated vapor state. At steady state, the turbine develops work equal to 1 MW through the turbine. Kinetic and potential energy effects are negligible. (a) Determine the mass flow rate of the steam, in kg/s (10 pts). (b) Determine the rate at which entropy is produced

Two particles, A and B, are in motion in the xyplane. Their coordinates at each instant of time t(t)(0) are given by x(A)t,y(A)6t,x(B)29ty(B)t. Find the minimum distance between A and B. Round your answer to two decimal places.

A faulty barometer has some trapped air above the mercury column due to which it does not give the correct reading. When the atmospheric pressure is 760 mm Hg, the barometer reads 750 mm Hg and when the pressure is 800 mm Hg, the barometer reads 770 mm Hg. The actual pressure(in mm Hg), when the barometer reads 760 mm Hg, is

The Grotto makes numerous varieties of cheesecakes everyday. Cheesecakes are cut into 12 slices and sold by the slice, but The Grotto has only tracked demand in terms of whole cheesecakes. The distribution of demand is as follows: Demand 18 19 20 21 22 Probability 0.10 0.20 0.30 0.30 0.10 A whole cheesecake costs $18 to make and sells for $48.

Authority is defined as a person or organization having the power, right, or control to give orders to subordinates, make decisions, and assign tasks. Authority is essential for a manager because without it they have no power to give instructions and direct others. When the manager has authority this creates a chain, called a superior-subordinate

Figure Q3 below shows an insulin pump employing a velocity feedback. For a step response with 9.5 overshoot and a 2 settling time of 500 milliseconds, determine the following i) Damping ratio and natural frequency ii) The values of K and K, iii) the rise time (tr) iv) time taken for the first overshoot to occur (tp) R(s) Kc 10 S2 K (8 marks) (8

Calculate the rate of heat loss to the surroundings and the quantity of steam that would condense per hour per meter of a 1.5 inch steel pipe (o.d.0.04826 m, i.d.0.04089 m, k45 Wm.K) containing saturated steam at 130C. The heat transfer coefficient on the steam side is 11,400 Wm K and that on the outside of the pipe to air is 5.7 WmK. Ambient air

Design a 2bit Synchronous counter using JK flipflops to produce the following binary sequence 00, 10, 01, 11, 00. Show the Nextstate table, Transition table, and Logic diagram. Nextstate table Present state Qo 2 Transition table Output state transition Q Qo 0 to 1 0 to 0 1 to 0 0 to 1 0 to 1 1 to 1 1 to 0 1 to 0 Next state Q J Qo Flipflop inputs K

We are looking to put two gold contacts on graphene layer using electron lithography as shown in the sketch below. Describe the lithography process to reach our goal. Aucontacts SiO Si graphene Aucontacts

A fan delivers the following test results at a speed of 600 rmin. PFt (Pa) Q (ms) 0 0,5 1,0 1,5 2,0 2,5 3,0 3,5 385 424 451 470 476 466 440 377 The fan is installed in a ducting system of system total pressure drop Psyst 590 with Psyst in Pa and Q in ms. (a) Determine graphically what the flow rate in the system will be and the fan total

Calculate the resonant frequency of the circuit in Fig. 14.29. V cos cot 10 mH m 0.5 mF 2012

Calculate the value of load resistance R L for which maximum power transfer will occur from source to load. Also calculate the value of maximum power and power transfer efficiency. A 12 V 452 www ww 60 60 www 6 B

What occupancy classification is an electric generation plant according to IBC F2 F1 H2 Group B

Consider the following continuoustime signal x(t)9 sin (9mt) 14 cos (12mt) x(t) is sampled at a rate 4 times the Nyquist rate, to produce a discretetime signal xin). Calculate the power of the sampled waveform. (Hint use the simplest way possible, even if that means calculating the power of the continuous time signal in one step) Type your

Consider a circular bar of length L = 300 mm and diameter d = 5 mm. The bar is built-in at z = 0 and is subjected to a distributed torque t(z) = 50z, where the constant (50) has units of N/mm. At z = 300 mm the bar is free. Find the rotation in the bar as a function of z. Assume G to be a constant

Assume any suitable dataassumption, if needed but mention it clearly in your answer Problem1 Consider hydrodynamic and thermally fully developed internal forced convective flow through circular pipe with following details U 1..... Obtain a suitable expression for the Nusselt number (Nuo) as a function of r, and g(r) where, rrR and (TTW) g(r) for

Using the parallel axis theorem, what is the moment of inertia of the rod of mass m about the axis shown below (You do not need to enter any units.) L6 SL6 kgm

Four point masses, each of mass 1.6 kg are placed at the corners of a square of side 2.7 m. Find the moment of inertia of this system about an axis that is perpendicular to the plane of the square and passes through one of the masses. The system is set rotating about the above axis with kinetic energy of 184.0 J. Find the number of revolutions the

Problem No. A spring gun is compressed 5 cm to shoot a ball of 0.1kg with an angle of 30 as shown in Figure. a. Determine the storage energy (PE)spring of the spring gun after compression where the spring constant is 5 Nem of the spring gun. b. Use the law of conservation of energy to determine the releasing velocity of the ball.. (All losses are

The position x, in meters, of an object is given by the equation v At Bt, where t represents time in seconds. What are the SI units of B

How much work has F done on the box when the box reaches a) 5m, b) 14m What is the boxs speed at c) 5m, d) 14m m 9 kg Vo 0 ms F a (ms) 4 3 2 1 4 5 67 8 9 10 11 12 13 14 x (m)

2) Regarding the given circuit below find the voltage drop over 802 (Vo) by applying the sourse transformation method Box each answer. 45 2.R on this 3A 3.5 12V

You repeat the Vibrating Strings experiment (this time on Earth where g 9.80 ms2) with a different string than the ones used In lab. A mass of M90.0 grams suspended from the end of the string produces a standing wave pattern with two n antinodes. The distance between the nodes is 30.0 cm. The slope of your i versus. graph is 0.0150 cm. What is

Consider the roller coaster ride shown below. Here 9m and 72 20m. Imagine that the car is traveling with a constant speed of v 5, 3ms throughout the whole ride. If the mass of a child riding the car is m 25kg, determine the apparent weight of the child at point A. Express your answer using Sl units with zero decimal place. Take g 9.80ms.

You can find the center of mass of an object by holding it up with two fingers and slowly pushing your fingers together. One finger will begin. slipping, but will eventually stop slipping and the other will slip instead. Calculate the first stopping point in the following situation. The object is a uniform stick (like a meter stick) of length L

Show that surface melting is to be expected below T. in gold (1336K) given the Yu0.132, v1.128, v1.4003m. Given the latent of heat is 1.210)m, estimate the undercooling AT below T.. for a 10 nmthickness liquid layer to form.

In this figure R=24.Calculate the current in the 10V emf . Use the absolute value, normal format, 2 SFs.

10 V R ww 5.002 um 5.002 15 V

A block is suspended by two cords as shown in Figure. a. Draw the freebody diagram of the system. b. Find the tension on the cords T, and T2 2 F Ti 30 T W 980 N

The spaceship Lilac, based on the Purple Planet, is 751 m long when measured at rest. When the Lilac passes Earth, observers there measure its length to be 687 m. At what speed v is the Lilac moving with respect to Earth? Express your answer as a multiple of the speed of light c.

A car travels in the positive x-direction in the reference frame S at an ordinary speed. The reference frame S moves at a speed of 0.80c, along the x-axis. The rest length of the car is 3.50 m. Calculate the length L of the car according to observers in the S frame.

In the figure below, a 30.0 cm 60.0 cm rectangular circuit containing a 16.00 resistor is perpendicular to a uniformi magnetic field that starts out at 0.65 T and steadily increases to 2.47 T in 3.9 seconds. While this field is changing. what does the ammeter read (in mA) Normal format with 3 SF. B 60.0 cm 30.0 cm

Two events occur in an inertial system K as follows Event 1 1 a, t 2ac, y 0, 21 0 Event 2 x2 2a, t 3a2c, Y2 0, Z 0 In what frame K (moving relative to K) will these events occur at the same time Describe the motion of system K.,Two events occur in an inertial system K as follows Event 1 1 a, t 2ac, y 0, 21 0 Event 2 x2 2a, t 3a2c,

Using the scalar product of two vectors, determine the angle between the two vectors listed below A 5 3 4k B 8 2) Sk Express your answer in degrees and use zero decimal places.

What is the mass of the light blue object 3.4 m 2.1 m 1.25 kg 3.4 m 2.0 kg 8.5 kg 2.8 kg 5.8 kg 4.0 kg You cannot determine the mass with knowing the force applied to the blue object

A 3.00kg particle P is located at 72.5 m 2.8m 0m2 from the origin in the xy plane as shown in the Figure. It moves with a velocity of i3.1 ms 2.0 ms 90ms 2. A force, F3.6 N2 3.1 N0N acts on the particle. What is the magnitude and direction of the angular momentum of the particle with respect to the origin of the coordinate system

50kg m2.0 kg yomjmg40 kg 4.0 201 201 m3.0 kg 20 F100 N m1.0kg 40 F80N 5.0 ms xm) 30 ms Calculate the magnitude of the angular momentum relative to the origin for the fiveparticle system, given that F 4N, 9 ms, 17 N, 8 ms, F 17 N, 4 ms Submit Anvew Tries 040

A very small ball has a mass of 5.0 gram and a charge of 4.0 C What magnitude electric field directed upward will balance the weight of the ball

Three charged particles are arranged on corners of a square as shown in Figure, with charge Q on both the particle at the upper left corner and the particle at the lower right corner, and charge 2Q on the particle at the lower left corner. What is the direction of the electric field at the upper right corner, which is a point in empty space e 20

A uniform electric field of 1.0 NC is set up by a uniform distribution of charge in the xyplane. What is the electric field inside a metal ball placed 0.50 m above the xyplane O21.0 NC O 0 1.0 NC O 0.25 NC 2 points It varies depending on the position inside the ball., A uniform electric field of 1.0 NC is set up by a uniform distribution of charge

Calculate the macroscopic absorption cross section for aluminum given that a thermal flux of 2.91x10 8 neutrons/cm sec (E = 0.0253 eV) is incident on a 4.8 mm thick aluminum foil, and that after passing through the foil the beam contained 2.89x10 8 neutrons/cm sec.

A bedroom has length 4.9 meters, width 4.2 meters and height 2.2 meters. a) Draw a 3D picture of the room with the dimensions labeled. b) Calculate the surface area of the 4 walls and the ceiling (do not include the floor). c) If one litre of paint covers 8 m, and Mary applies two coats of paint to the walls and ceiling, how many litres of paint

A car travelling at 10 ms is 25 metres from a pedestrian crossing when the traffic light changes from green to amber. The light remains at amber for 2 seconds before it changes to red. The driver has two choices: to accelerate so as to reach the crossing before the light changes to red, or to try to stop at the light. What is the least

How long would it take for a 1000 W heating element to melt 1 kg of ice at 0C? The latent heat of fusion of water is 3.33X 105J/kg.

After the launch rocket releases your probe in Low Earth Orbit, it will take 4.3 kms to transfer to a Mars transfer orbit, 0.9kms to enter Mars capture orbit instead of flying by, and 1.4kms to go from the wildly elliptical capture orbit to the desired low Mars orbit. Adding it all up, the mission requires a total Av of 6.6kms. The probe's

The angle through which a rotating wheel has turned in time t is given by theta(t)= 8.5t-15t^2+1/6t^4, where 0 is in radians and t in seconds. Determine an expression: (a) for the instantaneous angular velocity w and (b) for the instantaneous angular acceleration a. (c) Evaluate w and a at t = 3.0 s. (d) What is the average angular velocity, and

Consider a village in which everybody can drink tap water. However, after a strong rainy days, the tap water was polluted with an octamethyltetrasiloxane (D4) substance at a concentration 10 ppm. Consider that there is a flow rate of fresh water (F: 105 L day ) into the tap water stream that equals the rate at which water leaches into the

Echolocation, also called biosonar; is the biological sonar used by several kinds of animals. Echolocating animals emit calls out to the environment and listen to the echoes of those calls that return from various objects near them. They use these echoes to locate and identify the objects. Echolocation is used for navigation and for foraging in

A. Determine the angular velocity of the planet. Give magnitude and direction. B. Determine the linear acceleration and the angular acceleration of the planet. Show all work and explain your reasoning. C. What is the net torque on planet? Show all work and explain your reasoning. D. Determine the linear momentum and the angular momentum of the

An astronomer is trying to estimate the mass of a star in a galaxy far, far away. They have the following information. There is only a single planet orbiting the star. The planet follows a nearly circular orbit around the star with an orbital radius of 8 X 10 8 meters and moves at constant speed. The radius of the planet is 1.2 X 10 6 meters and

A charged particle moving through a magnetic field at right angles to the field with a speed of 21.7 ms experiences a magnetic force of 2.58 x 104 N. Determine the magnetic force on an identical particle when it travels through the same magnetic field with a speed of 5.94 ms at an angle of 22.2 relative to the magnetic field. N

Calculate F for the beam shown in figure below. Assume it is uniform and has a mass of 262 kg. For the distances assume that D 1.88 m, D 4.12 m, D3 3.20 m and D4 1.16 m. For the forces assume that f3 3960 N, f4 3070 N and f5 1900 N. F K D D D D

What force must be applied at point P to keep the structure shown in equilibrium The weight of the structure is negligible. 3800 N 1.6 m 1.6 m 2300 N Magnitude (wrt to xaxis) 1.1 m Direction

A horizontal beam of length 2.70 m and mass 1.90 kg has a mass of 1.00 kg and width 0.200 m sitting at the end of the beam (see the following figure). What is the torque of the system about the support at the wall Wall support 0.2 m, 1 kg 2,7 m, 1.9 kg

Water flows horizontally in a pipe of diameter 13.6 cm at a rate of 0.32 m/s and a gauge pressure of 6.81x10^3 Pa. The fluid (still in the pipe) then descends a 5.9 m high hill, passes through a reducer and into a smaller 4.88 cm diameter pipe, and then flows horizontally again. Determine the speed of the water in the lower section of pipe. Water

An incompressible ideal fluid flows steadily through a pipe. At one point in the pipe, the fluid passes through a reducer into a smaller pipe. The fluid speed at a point where the pipe diameter is 7.08 cm is 2.83 m/s. What is the speed of the fluid at a point where the pipe has narrowed to a diameter of 4.15 cm?

The settling velocity (in still water) of a 2mm sand gran is expected to be 40 centimeters per second. Why might the observed velocity to be smaller than that?

Three blocks m 10kg.mp 8kg and mc 24kg are attached to each other with a string passing through massless pulleys as shown in the figure below. The kinetic friction coefficient between the surface and ma is given to be 0,37. If the system is released from rest, determine the acceleration (magnitude) of the blocks. Take g 9.80ms and express your

A river102.6m wide flows toward the south at32.6m/min.A girl on the west bank wishes to reach the east bank in the least possible time. She can swim102.6m in still water in1.10min. (a) How long does it take her to cross the river? (b) How far downstream does she travel? (c) What is her velocity relative to land? (d) What is the total distance she

Suppose a thin rod of length L2 m and mass M1 kg has a linear mass density given by X(x) AxCx where x is measured from the left end of the rod as shown in the figure, A1 kgm and C1 kgm. Calculate the moment of inertia of the rod about the zaxis ZA 0 X dm dx L X

A 1.0-cm-radius loop of wire with a resistance of 0.010 is placed in the center of a solenoid so the loops A is aligned to B . The solenoid is 20 cm long and wrapped with 1000 turns of wire. The current through the solenoid increases at a steady rate of 10 A/s. Find the current in the loop of wire.

Two cars collided in a T-bone and were found 28.3m N35 W from their collision point. The blue car has a mass of 1200kg and was traveling west and the red car has a mass of 1500kg and was traveling north. Draw a vector diagram of the situation. Determine the momentum of the two cars just after they hit (use energy conservation and frictional

The surface density of a thin rectangle varies as The rectangle has a length L 0.85 m and a width W 1.25 m. What is moment of inertia about the z axis z axis W o(x, y) 16kgm 7kgm (x y) L y axis x axis

In a crash test, a 1550 kg car collides with a wall. The initial velocity of the car before the collision was -18 m/s and its final velocity was 3 m/s. If the car was in contact with the wall for 0.20 seconds, 1. Determine the impulse created due to the collision. 2. calculate the average force exerted on the automobile AND the kinetic energy

A neutron star is an extremely dense star with a mass of about 1.5 Solar masses, m=310 30 kg, but a radius of only about 10km, r=10 4 m. What is the orbital period of an object orbiting just above the star's surface?

If the temperature of 2.0 moles of a gas with a heat capacity of 12.5 J/kg C is increased by 40 K. How much heat was added to the gas?

1) How well do your experimental emission spectra for the other gases compare with the expected spectra? 2) Whet effect does the smaller spacing have on the observed emission spectrum of Hydrogen? 3) Briefly describe how spectroscopy can impact our understanding of the universe?

A tank with a negligible mass is filled with 0.2 kg of water at 50 degree C. Moments later, a 0.04 kg of steam at 100 degree C and atmospheric pressure is added to the tank. (a) Assume there was no heat dissipated to the surroundings, find the final temperature of the tank with water and steam inside? (b) Find how much steam and liquid water (in

A system consists of a disk of mass 2.20 kg and radius 47.0 cm upon which is mounted an annular cylinder of mass 1.00 kg with inner radius 22.0 cm and outer radius 28.0 cm (see below). The system rotates about an axis through the center of the disk and annular cylinder at 10.6 revs. What is the moment of inertia of the system axis 47 cm 22 cm 28 cm

Calculate the moment of inertia of a thin rod of mass M and length L about an axis through the rod at L3 as shown below. You should see that your result should be the same whether you directly integrate or use the parallelaxis theorem. (You do not need to enter any units.) L3 2L3 Axis kg.m

A ball is attached to a vertical, unstretched spring. The ball is released from the springs unstretched position at time t = 0 and drops a total distance of 16.0 cm (i.e., 8.0 cm below the SHM equilibrium position) before the spring reaches maximum stretch. The ball then undergoes SHM with a period of 0.36 s. Assuming upward is positive, calculate

Design cmos circuit for the following F (1,2,3,5,4) sop

2. A combined system is formed from two separate systems of N localized atoms of spin12 each. While the two systems remain separate (a) Find the number of configurations which give a total spin excess SS S where S, and S, are the excess spins of the separate systems. (b) For what values of S, and S, is this number of configurations maximum

The complex amplitude of the sum of an infinite number of waves with equal phase differences and amplitudes that decrease at a geometric rate with a coefficient r is U Show that the corresponding intensity can be written in the form Imax I where and 1 To 1reip 2F (F) Imax F sin 10 (1r) 1 () r

3. One way of characterizing a function of temperatures. an unknown substance is by determining the vapor pressure as For a particular substance the following data was obtained Solid In(P) 22.4 2035 () Liquid ln(P) 18.4 1736 () where P is in torr and T in K. a) Calculate Avap H, Asub H and AfusH. b) Determine the pressure and temperature at

A 2.32kg bucket of water is suspended from a string and swung in a vertical circle. The radius of the circle is 0.945 meters. The speed at the bottom of the circle is 5.36 ms. Determine all numerical values. Use g 9.80 mss. Ftens (N) a (mss) Tap Me. Tap Me. Frens Fgrav Fgrav (N) Fnet (N) Tap Me Tap Me.,A 2.32kg bucket of water is suspended

A 1.74kg bucket of water is suspended from a string and swung in a vertical circle. The radius of the circle is 0.925 meters. The speed at the top of the circle is 4.08 ms. Determine all numerical values. Use g 9.80 mss. Fgrav (N) a (mss) Tap Me Tap Me grav tens Ftens N Fnet (N) Tap Me. Tap Me

Pivot A uniform rod of length L and mass m is pivoted about the point shown in the diagram above. 1. Write an equation for the rotational inertia of the rod about the specified pivot point. 2. Suppose the rod is released from rest when the main axis is horizontal, as shown in the diagram above. Calculate the maximum angular velocity achieved by

Two high-current transmission lines carry currents of 27 A and 57 A in the same direction and are suspended parallel to each other 40 cm apart. If the vertical posts supporting these wires divide the lines into straight 18 m segments, What magnetic force does each segment exert on the other? Exponential format with 2 SF.

Calculate the torque about the zaxis that is out of the page at the origin in the following figure, given that F 3.20 N, F 2.00 N, F3 2.80 N, and F4 1.90 N. 2.1 m 2.8m o 2.2 m, F3 F4 19 29,Calculate the torque about the zaxis that is out of the page at the origin in the following figure, given that F 3.20 N, F 2.00 N, F3 2.80 N, and F4

height of hmaz A diver jumps off a cliff of h at an angle of 0 41 (see figure below). He reaches a maximum 5m above the top of the cliff before falling to the water below. He hits the water 43m from the base of the cliff. Determine the height of the cliff, h in units of meters. Take g 9.80ms2. Round your answer to zero decimal places. y hmax

A 1.09 kW hair dryer is connected to a 120 V line. Find the peak current going through the hair dryer ? Normal format and 3SF

The system is in equilibrium. Determine the angles 8 and B, and tension in all cables. A 10 B 10 kg C 10 DE 10 kg,The system is in equilibrium. Determine the angles 8 and B, and tension in all cables. A 10 B 10 kg C 10 DE 10 kg

Examine the effect of weight upon terminal velocity. Gather together some nested coffee filters. Leaving them in their original shape, measure the time it takes for one, two, three, four, and five nested filters to fall to the floor from the same height (roughly 2 m). Note due to the way the filters are nested, drag is constant and only mass

Suppose that you tie a string with negligible mass and with length L around a ball with mass m. You then hold the end of the string and make the ball swing in a circle horizontally with constant speed under your hand so the circular path is parallel to the ground. While doing this, the string makes an angle of 0 with respect to the vertical axis

. The potential energy of a particle of mass m in the gravitational field of an ob late spheroid, like Earth, is approximately k V(r) 1 2 ( 1 2 ) r where r refers to distances in the equatorial plane, k GMm as before, and 2RAR5, in which R in the equatorial radius and AR is the difference between the equatorial and polar radii. From this, find

At zero temperature, N atoms fully occupy the sites of a simple cubic crystal lattice. At a finite temperature T, M of these atoms are displaced from their lattice sites to occupy the interstices of the lattice (i.e., points that lie centrally between lattice sites). You can assume that the number of interstices is equal to the number of lattice

A cyclotron is designed for accelerating protons. The energy of the proton is 20 MeV and the magnetic field is 2.5 tesla, what is the radius of the cyclotron?

Two pucks collide on a frictionless air-hockey table. The pucks have equal masses = 0.20 kg. Puck A has an initial velocity of 4.0 m/s in the positive x-direction and a final velocity of 2.0 m/s at an angle of 60 to the positive x-axis. Puck B is initially at rest. (a) Find the final velocity of puck B (magnitude and direction). (b) Is the