Physics Questions and Answers November 14, 2022

A student in an undergraduate physics lab is studying Archimedes principle of bouyancy. The student is given a brass cylinder of mass 1.25 kg. The density of this particular alloy of brass is 8.56 gcm. The student ties a massless string to one end of the cylinder, submerges it into a tank of water, and observes a reduction in the apparent weight

Suppose that a solid cube of some material floats motionless on the surface of an oil puddle at a service station with 77.5 of its volume submerged. The density of the oil is 921 kgm. What is the density p of the cubes material 3 P kgm,Suppose that a solid cube of some material floats motionless on the surface of an oil puddle at a service station

An undamped 1.60 kg horizontal spring oscillator has a spring constant of 22.4 Nm. While oscillating, it is found to have a speed of 3.90 ms as it passes through its equilibrium position. What is its amplitude A of oscillation What is the oscillators total mechanical energy Et as it passes through a position that is 0.753 of the amplitude away

9. Erika is on an elevator and presses the button to go down. When the elevator first starts moving, it has an acceleration of 2.5 ms downward. Erika and the elevator have a combined mass of 1250 kg. a. Draw a freebody diagram for the elevator. b. What is the tension in the cable that. provides the upward force on the elevator car 10. Ngan has a

Two common ways of stating the Second Law of Thermodynamics are heat always moves from hot to cold, and heat engines are always less then 100 efficient. In this activity we will examine another, equivalent, way of stating the Second Law The total entropy of an isolated system can increase, but it cannot decrease. In 1877 Ludwig Boltzmann showed

A pail of water is being swung in a vertical circle at the end of a 0.55-m string. How slowly can the pail go through its top position without having the string go slack?

Why is Geoid18 of note in surveying? (a) It is potentially the last hybrid geoid model produced by NGS (b) ground gravity measurements no longer exist due to airborne gravity measurements (c) short vector lengths from a VRS control station enhanced the data (d) no GPS benchmarks were required in its generation

A potential well of previous problem is called shallow if its depth satisfies the condition U ma2 (1) We already know that no matter how shallow the well is, in one dimension it always hosts a bound state. (a) Derive the approximate expression for the energy of this state and compare its magnitude to the depth of the well Uo (b) Derive the

A piece of aluminum with a mass of 250 g is immersed in a trough of water filled to the brim. The mass of the overflown water is measured and found to be 93.0 g. What is the density of the piece of aluminum (Apply Archimedess principle and buoyancy) A spherical balloon with a 10.0m diameter is filled with helium gas. If the mass of the balloon

Cherie sets the amplitude of both waves to 0.4 m, and the mass per unit length of the rope to 10 g/m. She clicks "start." How can Desmond describe what he observes when the two pulses overlap completely?

R R CS Scanned with CamScanner 000 82 L, R R CS Scanned with CamScanner 000 82 L,An ideal AC source with emf 1 (20V)cos (2nft) and an ideal battery with emf 1 16V are connected to a combination of 2 resistors and a coil as shown in fig adjacent figure. The two resistors have resistance R1100 and R28.00 while the coil has an inductance equal to

2m (4) 4ft 100 N 0.75 m 50 N 30 40 lb 2 cos 30 ft Determine the moment of the force about point O,2m (4) 4ft 100 N 0.75 m 50 N 30 40 lb 2 cos 30 ft Determine the moment of the force about point O

Mercury orbits the Sun (mass 1.99 x 1030 kg) at a distance of 5.79 x 1010 m. What is its orbital period (in days) days

We do not see a net current flow at thermal equilibrium, but we see a net flow in quasiequilibrium. Explain why by using Fermi level.We do not see a net current flow at thermal equilibrium, but we see a net flow in quasiequilibrium. Explain why by using Fermi level.

A car has a velocity of 20 ms after 1 min. The car increases its velocity uniformly for 30 s. After this time if has a velocity if 50 ms. What is the cars acceleration in this time period

A jet pilot pulls his plane out of a dive in such a way that his upward acceleration is 3g's.What would you predict is the blood pressure in the brain

A pilot is accelerating downward at four times the acceleration of gravity during a maneuver. If he is erect, what is the blood pressure in his brain?

A ladder with a mass M and length L is placed against a frictionless wall on a surface with the coefficient of static friction of . The ladder makes an angle of with the floor. A man with a mass m is climbing up the ladder. How far can the man go up along the ladder before the ladder slips?

Download any RGB image from internet and do the following 1. Store an image in a variable 2. Convert the image to a gray (rgb2gray(variable name)) 3. Read information about the image (iminfo) 4. Display the image (imshow) 5. Convert the variable in step 2 to indexed (gray2ind(variable name)) 6. Display the image 7. Change the size of the image

Two identical pucks collide elastically on an air hockey table. Puck 1 was originally at rest puck 2 has an incoming speed of 6.60 ms and scatters at an angle of 30 with respect to its incoming direction. What is the velocity (magnitude in ms and direction in degrees counterclockwise from the xaxis) of puck 1 after the collision (Assume the xaxis

A circuit consisting of three ideal batteries with voltages 1, E2, and 3, and three ideal resistors with resistances R, R, and R3, is shown in the figure. Calculate the current Ip through point P. Let the sign of the current correspond to its direction, with up being positive. Ip 1 32.5 V, 2 13.5 V, 3 24.0 V R1 2.70 , R2 21.5 k, R3 9.75 k mA

In the adjacent figure, if the current through the resistor Omega 2 is equal to A2, find: 1. The value of the electric potential difference E 2. Vxy (the difference in electrical potential between the two points y and x) 3. Power exhausted by resistance Omega 1(Use the current divider law

y 1 kOhm E X 3 Ohm 2 Ohm 4 Ohm,y 1 kOhm E X 3 Ohm 2 Ohm 4 Ohm

Consider the circuit in the figure (b). The curved segments are arcs of circles of angle 30 and radii a 10 cm and b 5 cm. The straight segments are along radii. Find the magnetic field B at point P ( the center of curvature), assuming a current of 9 A clockwise in the circuit. (Positive out of page and negative into page) R2 Submit Answer Tries

On a cold day you inhale 1.2 LL of air at 15 CC and its temperature is raised to 40CC. Assume that you can treat the air as a diatomic ideal gas with a pressure of 1.0 atm. What is the total change in kinetic energy of the air you inhaled,On a cold day you inhale 1.2 LL of air at 15 CC and its temperature is raised to 40CC. Assume that you can

Suppose in the figure that the four identical currents i 10 A, into or out of the page as shown, form a square of side 86 cm. What is the force per unit length (magnitude and direction) on the wire in the bottom left hand corner (Nm) Take the positive y direction as up and the positive x direction as to the right. a What is the magnitude of the

A mercury thermometer contains 1000 mm3 of mercury. The inside of the thermometer tube has a crosssectional area of 0.30 mm2. (The volume expansion coefficient for mercury is 1.81x 104 oC1 .) What should the spacing between the C marks be,A mercury thermometer contains 1000 mm3 of mercury. The inside of the thermometer tube has a crosssectional

A long hairpin is formed by bending a very long wire, as shown. If the wire caries a current of 19 A, what is the magnitude and direction of the magnetic field at the point a Take R 9 mm. Take the sign of B to be positive if the direction is out of the paper and negative if B is into the paper. You need to enter the number with its sign and a

A patient receives a blood transfusion trough a needle of diameter 0.20 mm and length 2.5 cm. The density of blood is 1050 kg/m^3. The bottle supplying the blood is 0.50 m above the patient's arm. The viscosity of blood is 2,7x10 3 Ns/m'. a) What is the rate of flow trough the needle? b) How long will it take to inject 1 pint (500cm^3) of blood

Door B is 2m high,1m wide and has a mass of 6kg. Door B is made of solid wood, and so has a uniform density. What is the rotational inertia of Door B around its hinge?

axis of rotation Door A 1 m steel frame 2 m axis of rotation Door B 1 m 2 m,axis of rotation Door A 1 m steel frame 2 m axis of rotation Door B 1 m 2 m

We can think of the end distance r as indicating a macrostate of the DNA. That is, there are many particular configurations of the DNA that can give the same distance r. But different distances r will have more or fewer individual configurations that give r, i.e., different numbers of microstates. For example if the DNA is completely stretched out

Assume all resistors (AF) are lightbulbs with the same resistance. Construct models to compare the power (brightness) in each resistor Construct a Voltage vs Length model to show the voltage at all parts of the circuit Annotate the circuit to show relative amounts of current in each path Circuit B W a. b. 8V Votage (V) 1 Circuit A R R R www Length

Z Determine the Magnetic Field Vector at points A, B, and C based on the wires and their currents. a. b. Show all steps and report your answer as a column vector. Graphically show the magnetic field vector from each wire, as well as the total magnetic field 6A 6 B 4A X Each grid line represents 1 cm C 0

(10 pts) An overzealous physics student claims she can climbs an 9.5 m vertical rope in 6s at a constant speed. What is her power output

Consider a complex linear vector space of 3tuples, with the usual inner product weve used in class for such spaces. Given two vectors a), b), (1) in this space, construct a third vector c) which is orthogonal to both the above vectors and normalize all three vectors. a) (1) b)

Given the kets 1), 12), such that (11) 2, (12) i, (22) 3, show that they are linearly independent. (b) (10 points) Consider the vector space spanned by 1) and 2). Given the operator u) (v where u) 1) i 2) and v) 1) i2), find the matrix representing the adjoint operator At in the 1), 2) basis.,Given the kets 1), 12), such that (11) 2,

An ideal stepdown transformer has a primary coil of 300 turns and a secondary coil of 18 turns. Its primary coil is plugged into an outlet with 220 V(AC), from which it draws an rms current of 0.49 A. What is the voltage in the secondary coil A Tries 012 Calculate the rms current in the secondary coil. A Tries 012 Assuming that the transformer

On a hot 96.0 (309) day at a racetrack, a Formula One racecar is traveling at a speed of 1.70 102 mph (76.0 ms) away from a stationary siren emitting sound waves at a frequency of 3.85107 H (a) Determine the sound speed for the given temperature. (Enter your answer to at least 1 decimal place.) x ms (b) What frequency did the racecar driver hear x

A circular conducting loop of radius 27.0 cm is located in a region of homogeneous magnetic field of magnitude 0.300 T pointing perpendicular to the plane of the loop. The loop is connected in series with a resistor of 223 2. The magnetic field is now increased at a constant rate by a factor of 2.10 in 19.05. Calculate the magnitude of the induced

b) C Consider a yellow piece of construction paper. What color will the paper appear if you shine green light onto it Explain. What if it is illuminated with magenta light Explain. Under what light conditions would the paper look black Explain. The figure below shows a color wheel for three light sources illuminating a yellow screen. The top light

a) You shine a single beam of white light through two color filters (not polarizing), as shown in the figure at right. What would appear on the screen if one filter is green and the other is red Does it matter which order they are in Explain your reasoning. white light d) filter Nerven b) What would appear on the screen if one filter is green and

A conducting rod is pulled horizontally with constant force F 3.60 N along a set of rails separated by d 0.200 m. A uniform magnetic field B 0.700 T is directed into the page. There is no friction between the rod and the rails, and the rod moves with constant velocity v 5.20 ms. X X X X X F X X X X X X X X X X X X X X X X X X Using Faradays Law,

Consider two beams of light, which are shining onto perfectly absorbent black barrels. The amplitude of Beam I is the greater than the amplitude of Beam 2 (4 24), and the wavelength of Beam 1 is longer than the wavelength of Beam 2 ( 322). Is the total energy in Beam 1 greater than, less than, or equal to the total energy in Beam 2 Explain your

PRACTICE ANOTHER An air bubble has a volume of 140 cm when it is released by a submarine 115 m below the surface of a lake. What is the volume of the bubble when it reaches the surface Assume the temperature and the number of air molecules in the bubble remain constant during its ascent. cm Need Help Son A Read Viewing Seved Work Revert to Last

A 12.0 kg package is released from rest down a 30.0 chute. When the package reaches the bottom it undergoes a perfectly elastic collision with a 24 kg stationary package, giving this second package a speed of 7.82 ms. Assuming the chute is frictionless, what height must the first package have been released from Question 2 A 5.61 kg bowling ball is

Consider an arrangement of three consecutive SternGerlach (SG) apparatus oriented along , n, and z. The vector n is in the xzplane and, as a result, its polar coordinates are (0,0). A beam of silver atoms is directed into the first SGapparatus. Theh2 spins (spins down) are then stopped. The 2 spins (spins up) continue along their path and pass

An F-150 truck weighing 5000 lbf (on Earth) traveling in a straight line at 60 mph comes to a complete stop in 5.3 seconds. a. Calculate the acceleration (ft/s2) of the truck. (The negative sign indicates the direction of the velocity change: slowing down) Report to 1 decimal place. b. Find the force (lbf) needed to stop the truck. Report to

Consider a large truck carrying a heavy load, such as steel beams. A significant hazard for the driver is that the load may slide forward, crushing the cab, if the truck stops suddenly in an accident or even in braking. Assume, for example, a 10000kg load sits on the flatbed of a 20000kg truck moving at 12.0 m/s. Assume the load is not tied down

MAssume the three blocks portrayed in Figure P4.29 move on a frictionless surface and a 42N force acts as shown on the 3.0kg block. Determine (a) the accelera tion given this system, (b) the tension in the cord con necting the 3.0kg and the 1.0kg blocks, and (c) the force exerted by the 1.0kg block on the 2.0kg block. 1.0 kg 2.0 kg 3.0 kg Figure

Two blocks each of mass m= 3.50 kg are fastened to the top of an elevator as in Figure P4.21. (a) If the elevator has an upward acceleration a=1.60 m/s2, find the tensions T1 and T2 in the upper and lower strings. (b) If the strings can withstand a maximum tension of 85.0 N, what maximum acceleration can the elevator have before the upper string

T m T m Ted Figure P4.21

A spider spins a fine thread of spider silk between two posts a distance Lo apart. The thread has a diameter of d 5 x 106 m and an equilibrium length of Lo. When the spider (with mass m 2 mg) hangs from the center of the thread, the thread sags and stretches to support the weight of the spider, making an angle of 0 10 below the horizontal, as

Consider the roller coaster ride shown below. Here r 7m and r2 18m. Imagine that the car is traveling with a constant speed of v 8,3ms 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 B. Express your answer using SI units with zero decimal place. Take g 9.80ms.

1Figure 1, drawn in perspective, shows a system of three polarizing sheets in the path of initially unpolarized light. The polarizing direction of the first sheet is parallel to the y axis, that of the second sheet is at an angle of 60 counterclockwise from the y axis, and that of the third sheet is parallel to the x axis. What fraction of the

A lense made of crown glass is designed with a focal length of 10cm for blue light(n=1.53) and a diameter of 5 cm is made as thin as possible. Calculate the focal length for red light(n=1.51).

A ray of light is incident at the interface between medium A and medium B as shown in Figure 2a. The refractive index of medium A and medium B is 1.41 and 1.37 respectively. The light ray is totally internally reflected back into medium A. After that, medium B is replaced with a layer of water that has a refractive index of 1.33 as shown in Figure

A box on a horizontal surface is full of disks, each of which has a mass of 100 grams. The total mass of the box (with the disks in it) is mbox 15kg and it is attached to one end of a string The massless string passes through a massless pulley and on the other end a block of mass 3kg is attached. The coefficients of kinetic and static frictions

Cobalt- 60 , with a half-life of 5.3 years, has a number of applications, including medical therapy and the sterilization of medical tools. How many months would it take for a sample of 700g to decay to only 293g ?

A concrete floor is constructed of 3 wythes of carbonate concrete that is each 2 inches thick. If the concrete is normal weight (145lb/ft3), what would be the fire resistance of the floor?

If a charged capacitor C 35F connected to a resistor R 1200, how much time will elapse until the voltage falls to 10 of its original (maximum) value .

A projectile is launched from ground as shown in the figure below. If hmax 42m and the angle the launch velocity makes with the horizontal is 0 47, determine initial speed of the projectile. Take g 9.81 ms and express your answer in units of ms with zero decimal places. Vo Ko hmax X

A reserved particle (mass m) is at rest. From the moment t=0, a constant force F is applied to it through an electric field. The acceleration takes place in a vacuum and continues until relativistic speeds are reached. Start with the relativistically valid form of Newton's second law, F=dp/dt, and develop an expression for the particle's velocity

During a strong storm the wind was blowing at a speed of 120 mih. If some home has an average roof area of 200 m, what is the force exerted on the roof, and where its directed upward or downward (Apply Bernoullis equation at two sections of the air flow, outdoor and indoor, neglect the thickness of the roof, take 1 mi 1609 m). Hint Find P2P then F

At time t=4 hours, both cars stop. What is the distance between car A and B, also state which car is ahead?

Cars A and B are travelling in a straight line. Their velocity versus time graphs are shown in Figure 1. At time t 0, car A is ahead of car B by 5 km. 70 Velocity (kilometerhour) 60 50 40 30 20 10 0 0.5 1 1.5 I 2 2.5 Time (hours) Figure 1 3 3.5 4 4.5 A B,Cars A and B are travelling in a straight line. Their velocity versus time graphs are

a. Determine the magnitude and direction of magnetic field at point a. b. Determine the magnitude and direction of magnetic field at point b.

The figure below is a crosssectional view of a coaxial cable. The center conductor is surrounded by a rubber layer, an outer conductor, and another rubber layer. In a particular application, the current in the inner conductor is I 1.04 A out of the page and the current in the outer conductor is I 2.98 A into the page. Assuming the distance d

Using the scalar product of two vectors, determine the angle between the two vectors listed below A 8 9 4k B 7 8j 9k Express your answer in degrees and use zero decimal places.

An object of mass450g is pulled from rest along a horizontal surface by force F of magnitude10N. The object moves over a distance of50cm. The coefficient of friction between the surfaces is0.8. a) Calculate the net work done on the object. b) Determine the final speed of the object.

A boat has a mass of 160 kg. When empty it floats in water with 70% of its volume submerged. What mass (kg) of sand can be put on the boat without it sinking?

In the system shown above, there is no friction anywhere. When the big box was pushed with just the right force so that it has an acceleration ag, it is possible that two blocks with masses m and m stay at rest. Masses are T m1 2 kg, m2 mi Note This problem can be solved either in grounds or boxs reference frame. Neither frame has any

A 10 kg box is moving on a rough horizontal surface and collides with a spring with initial speed 5 m/s. The box comes to rest after the spring is compressed by x = 95 cm. The spring stiffness constant is k = 100N/m. Calculate the work done by the force of friction?

Three blocks mA 6kg,mp 9kg and mc 18kg 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 mp is given to be 0, 28. If the system is released from rest, determine the tension on the string connecting mc and mp. Take g 9.80ms and

A circular cylinder of height 1.40 m having faces of diameter 0.550 m is immersed in water with its axis vertical so that its faces are parallel to the surface of the water. The upper face is 3.0 m below the surface of the water. The net force on this cylinder is observed to be 1100 N downward. What net force (N) does the water exert on the lower

A child throws a stone into a well and wants to know how long it takes to hear the sound. As soon as he throws the stone, he hears the sound after 13.5 seconds with his stopwatch. How deep is the well if sound travels through air at a constant speed of 340 m/s?

The rate at which a sprinkler head spins about a vertical axis increases steadily for the first 2.00 seconds of its operation such that, starting from rest, the sprinkler completes 15.0 revolutions clockwise (as viewed from above) during that first 2.00 seconds of operation. A nozzle, on the sprinkler head, at a distance of 11.0 cm from the axis

(a) Find the speeds (in m/s ) of the 0.7 kg and 0.3 kg pieces immediately after the break-up. (b) How high (in m ) from the break-up point does the 0.3 kg piece go before coming to rest? (c) Where does the 0.7 kg piece land relative to where it was fired from?

A projectile of mass 2.0 kg is fired in the air at an angle of 35.0 to the horizon at a speed of 60.0 ms. At the highest point in its flight, the projectile breaks into three parts of mass 1.0 kg, 0.7 kg, and 0.3 kg. The 1.0 kg. part falls straight down after breakup with an initial speed of 11.8 ms, the 0.7 kg part moves in the original forward

Hooke's Law states that the force F needed to keep a spring stretched x units beyond its natural length is directly proportional to x.Here the constant of proportionality is called the spring constant. (a) Write Hooke's Law as an equation. (Use k for the constant of proportionality.) (b) If a spring has a natural length of 5 cm and a force of 30 N

What pressure is exerted on the bottom of a 0.450 -m-wide by 0.950 -m-long by 0.100 - m-tall gas tank when it is full? Use =715 kg/m3 .Report your answer to 1 decimal place.

What is the wave speed (in m/s) if a wave has a frequency of 141.34 Hz and a wavelength of 23.45 cm? Round your answer to 2 decimals

a) Draw a complete free-body diagram for each of the two masses. Make sure you label each agent that causes the force. b) Write the proper expressions for Newton's Second Law for each mass. c) Determine the magnitude of the acceleration, a, of the two masses moving on the horizontal surface. d) Determine the tension T in the rope.

(25 points) Two masses, m, 5 kg and m 4 kg, are situated on a frictionless horizontal surface and connected by a rope. A force, F 18 N, is exerted on one of the masses as shown below. 111 111 2

r

In a version of the giant swing, the seat is 7.0 m from the rotaional axis, connected by two cables, one of which is horizontal and the second which is 60 from the vertical back of the chair. The seat swings in a horizontal circle at a rate of 35 rpm. If the seat weighs 250 N and an 820 N person is sitting in it, find the tension in the cables.

A flat curve on a highway has a radius of 240 m. A car rounds the curve at a speed of 27.0 ms. a) What is the minimum coefficient of static friction needed to prevent sliding b) Suppose the highway becomes icy and the coefficient of static friction changes to 14 of its value in part (a). What would the maximum speed of the car now be,A flat curve

MA mB F Usl, kl Ms2, mk2,In the system shown above the blocks are initially at rest. Then a force F is applied to the block at the bottom. Data mA 6 kg, mB 4 kg, Ms1 0.4, s2 0.3, g 10 ms. (a) Suppose that, starting from zero, the force F is gradually increased. There is a critical value of the force F F at which the sliding starts. Find

a) Draw a force diagram for each block. Be sure to label the agents causing each force. b) Using a proper coordinate system to represent your x and y axes, write the proper expressions for Newton's Second Law for each mass. c) Find the tension, T, in the string holding the top block in place. d) Find the acceleration of the bottom block.

An 6 kg block is placed on top of a 11 kg block. A horizontal force of 138 N is applied to the 11 kg block while the 6 kg block is tied to the wall. The coefficient of friction between the floor and the bottom block as well as the two blocks themselves is 0.27. 6 kg 11 kg F138 N

When a crate of 4 kg mass is dragged a distance of 4 m over a horizontal surface with a kinetic friction coefficient of 0.77 between the crate and the floor, and then dragged back to its original position along the same path, what is the work done by the friction force is during the process in units of Joules You should indicate the sign of the

An object of 5 kg is hanging from the top of an elevator by a string. The tension in the string is equal to 23 N. What is the acceleration of the elevator in units of ms (Note that negative means downward, and positive means upward acceleration). Express your answer in 1 decimal places.

The only force acting on a 7.6 kg body moving along x axis is given by Fr (10x) Nm, where x is in meters. If the velocity of the object at x 0 is 3 ms, how fast is it moving at x 4.6 m Please specify your answer in 1 decimal places.

B d 12 V,B d 12 V,(radius 0.91 m, diameter A 9.28 kg mass is projected up a rough circular track 2x0.91 m) as shown. The speed of the mass at point A is 13.03, and at point B, S it is 1.72 m. What is the work done by the force of friction during the process (please retain the sign of work in your answer) Give your answer to 1 decimal place.

A 5.2 kg box slides horizontally without friction at a S speed of 1.02 m. At one point, a constant force is applied to the box in the direction of its motion. The box travels 2.72 m with the constant force applied. The force is then removed, leaving the box with a speed of 3.83 m. What is the magnitude of the applied force Give your magnitude of

To hit a target, an archer must launch an arrow with a mass 0.03 kg with an initial velocity of 27.16 ms. If the string on the bow can be modeled as an ideal spring with a spring constant of 84.36 Nm, then how far (in meters) must you draw back your arrow (i.e. extend the spring) for the arrow to achieve the desired initial velocity Please express

Two blocks (m1 9kg, m 16kg) are connected by a string that passes through a massless pulley as shown in the figure below. The first block with mass m slides m up the inclined plane when the system is released. The inclined plane makes an angle of 0 38 with the horizontal and the kinetic friction coefficient between the inclined plane and m1 isk

14kg are A block of mass mA 20kg on an inclined plane and a bucket of mass mbucket attached to the ends of a massless string passing through a massless pulley as shown in the figure below. The inclined plane makes an angle of 0 50 with the horizontal and the coefficients of kinetic and static friction are 0, 38 and g 0, 56. The system is

Laminar airflow enters a 10 (total included angle) conical nozzle whose out let area is 0.65 times the inlet area. The inlet air velocity is 10 ms and the initial boundary layer momentum thickness is 0.001 m. The entrance duct di ameter is 14 cm. The kinematic viscosity of the air is 2 x 105 ms. Assume the core of the flow is incompressible and

A current loop of diameter 4 cm has a current of 3 A. a) What is the magnetic field at its center? b) By how much would you need to decrease the diameter of the loop (while keeping the current constant) if you want to double the magnetic field at its center (double compared to a)

The game called 'tetherball' has a point mass m attached to a pole with a string that rotates at constant speed v in a horizontal circle of radius r. Take the string to be massless and of length =6r. It is connected to the top of the pole and makes an angle theta with the vertical. Find an expression for the observed radius r in terms of v and g.

A student stands at the center of a frictionless piano stool. The student is holding two dumbbells in his hands and is rotating at an angular speed wo. When he pulls the dumbbells into his chest, his angular speed increases by a factor c 2.57. By what factor does his kinetic energy change

As shown in the figure below, a bullet is fired at and passes through a piece of target paper suspended by a massless string. The bullet has a mass m, a speed v before the collision with the target, and a speed (0.456)v after passing through the target. 771 27 (a) Before collision M V m PAC. 711 The collision is inelastic and during the collision,

An astronaut is doing physics experiments on the surface of a planet that has the same radius as the Moon (RM 1.74 x 10 m) but half the mass of the Earth (M 5.972 x 1024 kg). Suppose he throws a rock vertically upward with an initial speed of v 31.6 ms. What is the maximum height the rock reaches assuming the acceleration is constant close to

You come across an open container that is filled with two liquids. The two liquids have different densities, so there is a distinct separation between them. Water, which has a density of p 1.00 x 10 kgm, fills the lower portion of the container to a depth of 0.209 m. The fluid that is floating on top of the water is 0.300 m deep. The acceleration

Your pet beaver is once again out on the prowl and you find him on the 2 m ledge over the balcony. The 200 N uniform ledge already supports a 90 N flower pot and is attached as shown below by a strong hinge, and a old rope that can only withstand a tension of 500 N before breaking. How far along the ledge (d) can your 10 kg beaver stand before the

A 75 kg man climbs up a 120 N uniform ladder of length 4m. The ladder rests on a frictionless wall and a frictionless floor, however the lower end of the ladder is fastened to the wall as shown below by a horizontal rope which can withstand a maximum tension of 400 N. Find, (a) the tension in this rope when the man is one third up the ladder, and

Modern cars have airbags to reduce the injury rate in accidents. Consider a crash in which the car is decelerated from 20 ms to 0 ms. a. If your mass is 75 kg, what is your change in momentum during this crash b. If the crash takes place over a time of 0.1 seconds, what is the average net force on you over this time interval c. The airbag allows