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Physics Questions and Answers September 11, 2022

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A particle of mass m and energy E (Vo E 0) is incident from the left onto a potential given by V 0 Vo Vo x 0 0

(a) Calculate the transmission probability for a particle of mass m incident on a potential V(x) V8(x a) 8(x a). (b) The reflected 8 and transmitted phase shifts are phase shits with respect to plane waves. Calculate 6 and 8. (c) Discuss the possibility of bound states.

In the figure four particles form a square with edge length a 4.13 x 102 m. The charges are q441.68 x 1015 C and q2 93q. (a) What is q if the net electrostatic force on particle 1 is zero (b) Is there any value of q that makes the net electrostatic force on each of the four particles zero a) Number b) No. V a Units

The displacement S metres of a moving particle from a point O, after t second is given by. St5t3t10. a) Find S when t2.,b) Determine i) The velocity of the particle when t5 seconds.,ii) The value oft when the particle is momentarily at rest. (3mks),Find the time when the velocity of the particle is maximum.

4. The electron density is related to the bulk density by the following equation p Pb 27 A and the tool should be calibrated first to change the electron density to log bulk density. Find the calibration equation for sandstone (pma 2.654 gcc) and salt water (pr 1.2 gcc).

A 61 kg firefighter, starting at rest on the upper floor, slides 8.0 m down a fire pole to the ground. While sliding down the pole, 4500 J of energy went into thermal energy, warming up the pole and her hands. What is her speed just before touching the ground

A 5.2 m diameter merry-go-round is rotating freely with an angular velocity of 0.60 rad/sec. Its total moment of inertia is 1900 kg.m 2 . Four people standing on the ground, each of 60 kg mass, suddenly step onto the edge of the merry-go-round. (a) What is the angular velocity of the merry-go-round now? (b) Assume that the people were on it

When an electromagnetic wave enters a new medium and gets split into two, do the properties of the wave change? What happens to the wavelength when being reflected and absorbed by the new medium? What about the speed?

You often find Newtons cradle sitting on office desks around the world. This elegant device helps demonstrate the Conservation of Energy, the Conservation of Momentum, and the principle of Friction with swinging and colliding balls. How does this device work What happens if you change the material and number of the balls 9999

arge of 600 C is placed on a 20 uF capacitor. Find the potential difference between the inals of the capacitor. 3 i the energy stored in a 5 F capacitor charged to a potential of 500 V. 3

Problem 15 20) and i 25 sin(wt70). Determine the phase angle between v 30 cos(wt

4. (a) Determine the equivalent capacitance of the circuit. C1 3.0 F, C2 6.0 F, C3 10.0 F, C4 4.0 F, C5 6.0 F V 12 V. (b) How much charge is stored on each capacitor (c) How much energy is stored on capacitor C3 (25 points). C5 12797 C3 C1 C4

A proton moving at 5.0 x 104 ms horizontally enters a region where a magnetic field of 0.12 T is present, directed vertically downward. What magnitude force acts on the proton Can you explain why

m Region of magnetic field R Path of the particle As shown in the figure, a small particle of charge q 7.3 x106 C and mass m 3.1x 1012 kg has velocity vo 9.4 x 103 ms as it enters a region of uniform magnetic field. The particle is observed to travel in the semicircular path shown, with radius R 5.0 cm. Calculate the magnitude and direction of

A charged particle of mass 0.0020 kg is subjected to a magnetic field which acts at a right angle to its motion. If the particle moves in a circle of radius at a speed of what is the magnitude of the charge on the particle a) 2500 C b) 0.0083 C c) 0.00040 C d) 120 C

The resultant vector of P and Q is R. On reversing the direction of Q. The resultant becomes S. Show that R+ S= 2(P+Q)

A meter of polyamide fiber has a diameter of 730 um, a mass of 0.188 g, and takes 0.48 s to produce on an industrial spinneret. how would you calculate the mass of fiber that can be spun in 80 min?

In a supermarket, you place a 22.3 N (around 5 lb) bag of oranges on a scale, and the scale starts to oscillate at 2.7 Hz. What is the force constant (spring constant) of the spring of the scale

a) Apply Blocks theorem and calculate the following matrix equation. A B k i(k,k) (ab) ilk,k)(ab) (k,k) e where k, k i(kk)(ab) i(k) (ab) (kk) e JAME k) 2m (EV) h k i (k10b (1)(kk) (4) b (1k) (74) e 4(x) u(x) 23 C D Floquet exponent

Plot the transmission probability of a parside of massm. (E kko2m 1eV) k Jamt When the transmission probability becomes 0.5, 1., E. calculate the corresponding energy

Calculate the nontrivial solution using matrix equation in (a) as Ces (ka) cos (kb) cosk, (ab) Apply following Express to obtain V. Vb Constant b Constant, tbso kbso, sin (kb) kb and cas (kb) 1 cos(ka) Cos (ka) sin (kb) sin(k.lab) 21,4 approximations (delta function) (e) Select Some value mvoba Repeat (b) and Corresponding expressions. (C)

Explain communication satellite and uses of satellite.

(1) m v Ballistic pendulums are used to be used for measuring bullet speeds. Such a pendulum is made by hanging a wooden block with mass M 0.99 kg with strings of L. 4.0 m length. You can neglect the thickness of the wood. (1) A bullet with mass m 0.01 kg is fired with an unknown speed u. (2) The bullet hits the wood and is stuck inside. (3)

Matching Match each charging situation to the method used. You may use an answer more than once. A. friction B. charge separation C. contact D. induction 1. a charged glass wand attracts neutral bits of paper 2. a positively charged rod is held near a doorknob, and the doorknob is momentarily grounded 3. a stream of water is deflected by a charged

Two cars , A and B , on a level road travels in the same direction at a speed of 100 kph. B is 80 m ahead of A. When breaks are applied , on B causing it to deccelerate at the rate of 2.15 m/s. In what time A overtake B and how far each will travelled ?

The circuit below is a practical differentiator because it will attenuste high frequency noise. Find the Sdomain transfer function relating to Vo and Vs lekss Vis sc E Bu prec No(s)

Suppose the hammer has a mass of 7.26 kg, the wire is 1.00 m long, and the force keeping it moving in a circle is 7430 N. With what speed will the hammer take off when it is released?

1) A 10.0 kg mass sliding on a frictionless horizontal surface at 7.00 ms hits a spring that is attached to a wall. The spring has a spring constant of 5000 Nm. Determine the maximum compression of the spring. a),b) Determine the speed of the box in the above problem when the spring had a compression of 0.100 m.,c) Suppose the box springs back off

2) A human cannonball uses a springloaded cannon to launch himself. He has a mass of 70 kg, and the spring compresses a total distance of 1.40 m. If he needs a launch velocity of 18.0 ms, what should be the value of the springs spring constant

3) A 12.0 kg mass is hung from a spring with a spring constant of 2400 Nm. How much did the spring stretch from its equilibrium position

Displacement (m) 4) A 6.00 kg mass is acted on by a net force shown in the graph above. a) if the object started from rest, what is its velocity after it has moved 10.0 m b) If the object in initially was moving at 5.00 ms in the direction of the net force, what was its speed after it had moved a distance of 6.00 m

2 1 5) In the diagram above the pulley is frictionless. Mass 1 is 3.00 kg and mass 2 is 7.00 kg, and the two masses are released from rest. After the two masses have each moved 0.500 m, what are their velocities

6) A mass is dropped from a height of 4.00 m onto a spring with a spring constant of 120 Nm. If the spring compresses by a maximum amount of 1.25 m, what is the mass of the object

8) A 10.0 kg mass is dropped from a tall building. During the first second of the fall, what was the average power exerted by gravity What was the average power exerted by gravity during the first 5.00 seconds of the fall

12) A car driving at a speed of 20.0 ms on level ground slams on its brakes. If it skids for 32.0 m before stopping, what is the coefficient of kinetic friction between its tires and the road

2. A wave on a string has the formula y 0.030sin(0.55x 62.8t 3). What is the wavelength, frequency, period, phase constant, and speed of the wave. The string has a linear density 0.020 kgm. What is the tension in the string What is the rate of energy flow of the wave Sketch the reference circle, the snapshot graph at t 0, and the history

3. On a point on a string, a peak of a harmonic wave is observed to pass every 0.050 s. The distance between peaks is 0.75 m. The height of the peak is 0.025 m. Assume that the wave is moving to the left. What is the equation of this wave (take t 0 at the first peak) What is the speed of the wave The string has a linear density 0.020 kgm. What

8. Two speakers are in a line but one speaker is a distance d behind the other. You are 4.50 m in front of the nearest speaker. The sound is wavelength 1.50 m. (a) The speakers are in phase. What is the smallest nonzero d if you hear constructive interference (b) The speakers are in phase. What is the smallest nonzero d if you hear destructive

9. Two loudspeakers are located 3.00 m apart on the stage of an auditorium. A detector is placed 20.0 m from one speaker and 21.2 m from the other. A signal generator drives the two speakers in phase and sweeps through the range (2 KHz20 KHz). Assume that the speed of sound in air is 343 ms. (a) What is lowest note (frequency) for which

11. As shown in the diagram below, a speaker plays a single frequency sound. On its way to you, some of the sound echoes (reflects) off a wall. As a result, the sound is quieter than it should be. (a) If the wall is flexible, what is the lowest frequency that creates the lowest sound intensity at your position (b) If the wall is stiff, what is the

14. A siren with a frequency fo 2000 Hz is attached to a block. The siren and block together have a mass of 2.00 kg. The block is attached to a spring of unknown spring constant K. The spring is compressed an unknown distance and then released. The siren and block oscillate back and forth. A listener hears the source as emitting a varying

Question 1. Find the equivalent capacitance for the combination of capacitors shown in Figure below JAVI C C3 C Capacitor connected in series and parallel (mixed)

Question 3 a parallel plate capacitor has an area of 40 cm 50 cm and plates separated by 1cm. a. What is the capacitance of this capacitor in unit of farad b. If it has a charge of 3.6103 C, what is the potential difference across the capacitor

Question 6 Three capacitors of capacitance C1 F, C2 F and C6 F are connected as shown in the figure, and charged by a 100 V battery. Find a) The equivalent capacitance of the system. b) The total charge of the system. c) The potential difference, U. d) The charge q C1 F 91 42 C2 F C6 F as 4 U100 V ,

) Typical values of the Reynolds number animals. moring Through air for which For which nolds numbee for vacicres. animal. whale. Large 6) flying dank. () Large de agonfly d) Invee te brate laeva. e) barterium. or water. listed below. cases is incetia of the flind important cases would the flow be laminas turbulent ere. Speed Loms 20ms 7ms Imms

A spring (k = 200 N/m) is suspended with its upper end supported from a ceiling. With the spring hanging in its equilibrium configuration, an object (mass = 2 kg) is attached to the lower end and released from rest. What is the speed of the object after it has fallen 4.0 cm?

Do gaps form between the photons as the stars light disperses and deteriorates

Does time go faster at the top of a building compared to the bottom?

How can a clear object be transparent and visible at the same time?

How can a material at a certain temperature have all of its molecules at the same energy?

How can an electron leap between atomic levels without passing through all the space in between?

In the diagram below, the spring has a force constant of 5000 Nm, the block has a mass of 6.20 kg, and the height h of the hill is 5.25 m. Determine the compression of the spring such that the block just makes it to the top of the hill. Assume that there are no nonconservative forces involved. h fullo

A solid ball, a cylinder, and a hollow ball all have the same mass m and radius R. They are allowed to roll down a hill of height H without slipping. How fast will each be moving on the level ground H

A cylinder of mass M and radius R, on an incline of angle 0, is attached to a spring of constant K. The spring is not stretched. Find the speed of the cylinder when it has rolled a distance L down the incline.

A block of mass mis connected by a string of negligible mass to a spring with spring constant K which is in turn fixed to a wall. The spring is horizontal and the string is hung over a pulley such that the mass hangs vertically. The pulley is a solid disk of mass M and radius R. As shown in the diagram below, the spring is initially in its

A system of weights and pulleys is assembled as shown below. The pulleys are all fixed. The pulleys on the sides are disks of mass ma and radius Rd the central pulley is a hoop of mass m, and radius R. A massless ideal rope passes around the pulleys and joins two weights. The rope does not slip. The two weights have masses m and my respectively.

In the diagram below, a moving skier on top of a circular hill of radius R 62.0 m feels that his weight is only (38)mg. What would be the skiers apparent weight (in multiples of mg) at the bottom of the circular valley which has a radius R, 43.0 m Neglect friction and air resistance. R

At point A in the figure shown below, a spring (spring constant k 1000 Nm) is compressed 50.0 cm by a 2.00 kg block. When released the block travels over the frictionless track until it is launched into the air at point B. It lands at point C. The inclined part of the track makes an angle of 0 55.0 with the horizontal and point B is a height h

A small solid sphere of radius r 1.00 cm and mass m 0.100 kg at point A is pressed against a spring and is released from rest with the spring compressed 20.0 cm from its natural length. The spring has a force constant k 20.0 Nm. The sphere rolls without slipping along a horizontal surface to point B where it smoothly continues onto a circular

The potential energy of a system of particles in one dimension is given by U(x) 5x3x 2x where the potential energy is in Joules. What is the work done in moving a particle in this potential from x 1 m to x 2 m What is the force on a particle in this potential at x 1 m and at x 2 m Where are the points of stable and unstable equilibrium

The PE curve for a 2.5kg particle under the influence of a conservative force is shown below. (a) What would be the total mechanical energy of the system, if one know that the particle has a speed of 7.5 ms at x 1.5 m (b) If Etot 150 J, where would the particle have zero velocity Where would the particle have its maximum kinetic energy and what

In the diagram below, calculate the work done if. (a) F 15.0 N, 0 15, and Ax 2.50 m, 25.0 N, 0 75, and Ax 12.0 m 10.0 N, 0 135, and Ax5.50 m, (b) F (c) F Ax

In the diagram below, a rope with tension T 150 N pulls a 15.0kg block 3.0 m up an incline (0 25.0). The coefficient of kinetic friction is 0.20. Find the work done by each force acting on the block. I m 8

A winch lifts a 150 kg crate 3.0 m upwards with an acceleration of 0.50 ms. How much work is done by the winch How much work is done by gravity winch m 1. a

What is the work done by friction in slowing a 10.5kg block traveling at 5.85 ms to a complete stop in a distance of 9.65 m What is the kinetic coefficient of friction

A 50.0N force is applied horizontally to a 12.0kg block which is initially at rest. After traveling 6.45 m, the speed of the block is 5.90 ms. What is the coefficient of kinetic friction

Determine the work done by the following. Determine the angles between the forces and the displacements. The forces are in Newtons and the displacements are in metres (a) F (1, 2, 3) and Ar (4, 5, 6) (b) F (1, 2, 3) and Ar (4, 5, 6) (c) F (4, 2, 4) and Ar (2, 8, 2)

In the diagram below, a 5.00kg block slides from rest at a height of h 1.75 m down to a horizontal surface where it passes over a 2.00 m rough patch. The rough patch has a coefficient of kinetic friction k 0.25. What height, h, does the block reach on the 0 30.0 incline m h m

A rope is wrapped exactly three times around a cylinder with a fixed axis of rotation at its centre. The cylinder has a mass of 250 kg and a diameter of 34.0 cm. The rope is pulled with a constant tension of 12.6 N. The moment of inertia of a cylinder about its centre is I MR. (a) What is the work down by the rope as it is pulled off the

A large cylinder of mass M 150 kg and radius R 0.350 m. The axle on which the cylinder rotates is NOT frictionless. A rope is wrapped around the cylinder exactly ten times. From rest, the rope is pulled with a constant tension of 25.0 N. The rope does not slip and when the rope comes free, the cylinder has a forward angular velocity 10.5 rads.

A person with an axe to grind is using a whetstone. The whetstone is connected to a motor which keeps it rotating at 85 revmin. The whetstone is a solid cylinder of made of a special type of stone of mass 45 kg and radius 20 cm. The heavy axeblade is being pressed onto the whetstone with a steady force of 25 N directed into the centre of the

In the diagram block M is connected to M by a very light string running over three identical pulleys. The pulleys are disks with mass M, and the rope does not slip. The coefficient of kinetic friction for the horizontal surface that M is on is uk. Find an expression for the speed v of block M in terms of the distance L that block M moves to the

Tarzan, Lord of Apes, is swinging through the jungle. In the diagram below, Tarzan is standing at point A on a tree branch h 22.0 m above the floor of the jungle. Tarzan is holding one end of a vine which is attached to a branch on a second tree. The vine is L21.0 m long. When Tarzan swings on the vine, his path is in an arc of a circle. At the

A block of mass M on a flat table is connected by a string of negligible mass to a vertical spring with spring constant K which is fixed to the floor. The string goes over a pulley that is a solid disk of mass M and radius R. As shown in the diagram below, the spring is initially in its equilibrium position and the system is not moving. A person

What power is required to pull a 5.0 kg block at a steady speed of 1.25 ms The coefficient of friction is 0.30.

In the diagram below, R 5 2, R 102, and R3 15 2. The battery supplies an emf of 0.30 V. What is the equivalent resistance, Rs What is the current through each resistor What is the voltage drop across each resistor What is the power expended in each resistor R R3 ww ww R ww 0 DO 8 RS ww 8

For the circuits shown below, identify all nodes and branches. Are any nodes at the same potential Which resistors, if any, are in series Which resistors, if any, are in parallel

. Find the equivalent resistance of the circuit shown below. Find the voltage drop over, current through, and power dissipated by each resistor. Put your results in a table. 8 V 60 Q 40 Q 120 Q

Find the equivalent resistance of the circuit shown below. Find the voltage drop over, current through, and power dissipated by each resistor. Put your results in a table. ww 30 2 ww 152 20 www 60 ww H 204 V 70 www

R 300 Q Hmm R 150 Q e R 100Q,A student is working with the circuit shown in the diagram below. She uses an ammeter and finds that the current through the branch with the 3002 resistor to be I 0.050 A. (a) What is the voltage drop across the 300 resistor (b) What is the voltage drop across the 1502 resistor (c) What is the current through the

A galvanometer has a coil resistance of 250 2 and requires a current of 1.5 mA for fullscale deflection. This device is to be used in an ammeter that has a fullscale current of 25.0 mA. What is the value of the shunt resistance What is the equivalent resistance of the ammeter The shunt resistance is the resistor connected in parallel with the coil

Consider the circuit in diagram (a) below. What is the potential difference over the 140 k2 resistor in this circuit Now consider the circuit in diagram (b) below. The only difference is that a voltmeter has been added so that the potential difference could be measured. The voltmeter is the same one as the previous problem. What is the voltage

Determine the voltage drop across the resistor R in the circuit given below with 60 V, R 182, R 10 52.

A letter A consists of a uniform wire of resistance 1 ohm per cm. The sides of the letter are each 20 cm long and the crosspiece in the middle is 10 cm long while the apex angle is 60. Find the resistance of the letter between the two ends of the legs.

A set of n identical resistors, each of resis tance RS, when connected in series have an effective resis tance X and when the resistors are connected in parallel, their effective resistance is Y. Find the relation between R, X and Y.

When a current of 0.5 A is passed through two resistances in series, the potential difference between the ends of the series arrangement is 12.5 V. On connecting them in parallel and passing a current of 1.5 A, the potential difference between their ends is 6 V. Calculate the two resistances.

sectional area 2 mm is joined with a similar aluminium rod A copper rod of length 20 cm and cross as shown in Fig. 3.38. Find the resistance of the combination between the ends. Resistivity of copper 1.7 x 10 m and resistivity of aluminium 2.6 x 10 m,Copper Aluminium 3

Find, in the given network of resistors, the equivalent resistance between the points A and B, between A and D, and between A and C. IT

Problems 12 to 15 The boom crane supports 12 kN load. Show the equations needed to determine the stress at location B. Include for normal stresses and indicate zero (0) stresses with a 0 with exploration 15m 12. 13. 14. 15. W6x 12 bears 12m 00 12 AN Normal stress on the top at point B. (A) FAMyI (B) FAMyI (C) FAMyI (D) FA MyI 12m Normal stress

A light rod of length has two masses m, and m attached to its two ends. The moment of inertia of the system about an axis perpendicular to the rod and passing through the centre of mass is m m 1 (a) m, m mutnamun m,mA DC (c) (m, m)1 (d) m,m1 mm 2 1 (b)

The ratio of the radii of gyration of a circular disc about a tangential axis in the plane of the disc and of a circular ring of the same radius about a tangential axis in the plane of the ring is (a) 23 (c) 56 (b) 21 (d)12

The sum of the magnitudes of two forces at a point is 18N and the magnitude of their resultant is 12 N. If the resultant makes an angle 90 with the force of smaller magnitude, the magnitude of the forces are (a) 5N, 13N (b) 6N, 12N (c) 8N, 10N (d) 7N, 11N

stra The diagonals of a parallelogram are given by vectors Find the area of parallelogram. 332k and i3j4k.

In the arrangement shown in figure, the ends P and Q of an inextensible string move downwards with uniform speed u and v respectively. Pulley A and B are fixed. Find the velocity of mass M at the instant shown in the figure. B 12 X M

A motorist is 50 ft from an intersection and sees a vehicle approaching from the right when it is 20 ft from the intersection. After removal of the foliage that has been blocking the sight line, it is now possible to see the same vehicle when it is 105 ft from the intersection. Average daily traffic volumes on the main roadway are 11,000 vehday.

A5 kg backpacks on the floor of an elevator. The elevator is rising with its speed increasing uniformly from 1 ms to 3 ms in 2 seconds as it is ascending What is the normal force the elevator floor exerts on the backpack in N Use g10 ms Pay attention to the direction of the acceleration OAS OO 8.60 OC 55 OD 50 OL 40

A cyclist is riding with a speed of 27 km/hr. As he approaches a circular turn on the road of radius 80 m, he applies brakes and reduces his speed at a constant rate of 0.5 ms-2. What is the magnitude and direction of the net acceleration of the cyclist on the circular turn?

11. Arrange the following and describe the resulting color. Note 1.0R means red at 100 intensity 0.5G means green at 50 intensity For example 1.0R 0.5G 0.75B means Red Slider all the way up, Green Slider 12 way up. Blue Slider 34 up. Color Equation Color Produced Click here to enter text. Click here to enter text. Click here to enter text. Click

What is the mean free path of a N molecule in an ultrahighvacuum chamber at a pressure of 1.0x105Pa and temperature of 400 K Take the diameter of a Ny molecule to be 0.36 nm and note 1 nm 10 m. In an ultrahighvacuum chamber, the number density n is extremely low. The molecules have very low chance bumping into each other, therefore the mean free
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Discuss how do scientists cool objects to absolute zero? Give detailed answer with examples.