Physics Questions and Answers November 19, 2022

The energy needed to increase the speed of a car from 15m/s to 21 m/s is 190kJ. A) What is the mass of the car? B) At what speed is the cars kinetic energy equal to 280kJ?

a. Calculate the value of the specific heat? b. Name the nature of the metal and give its theoretical heat value? c. Calculate the percent error?

Mass of calorimeter (Mc) 90g Specific heat of calorimeter 902j Specific heat Mass of metal (Mm) Mass of calorimeter water Mass of cold water (Mw) Initial temperature of the cold water (Twi) Temperature of boiling water and metal (Tmi) Final equilibrium temperature (Tf) Material of calorimeter Alunimium 207.8g 260.61g 170.61g 22 C 100 C 30 C

A uniform 12-inch ruler has a 5-g mass at the "1-inch" mark, and a 10-g mass at the "7- inch" mark. Where is the system's center of mass?

A typical running track is an oval with 74-m -diameter half circles at each end. A runner going once around the track covers a distance of 400 m . Suppose a runner, moving at a constant speed, goes once around the track in 1 min 40 s. What is her centripetal acceleration during the turn at each end of the track? Express your answer with the

A 60 kg person pushes a 10 kg box with a force of 30 N to the right. What is the force on the person A 60 kg person pushes a 10 kg box with a force of 30 N to the right. What is the acceleration of the box A 60 kg person pushes a 10 kg box with a force of 30 N to the right. What is the acceleration of the person

What is the corresponding wavelength for the Radio distress calls from ships, if the frequency used is 2200 KHz? (Speed of electromagnetic waves = 3 x 108 m/s). How about if we use the sound waves? (Speed of sound waves = 344 m/s).

An engine runs 8 seconds to produce 9800 J of work to lift a body of unknown mass through a height of 4 meters. What is the mass of the body? What is the power produced? (g = 9.8 m/s2)

A horizontallyoriented cylinder contains an unknown noble gas at 54700 Pa and is sealed with a massless piston of radius 0.316 m. The piston is quasistatically and isobarically moved inward 0.176 m. while 19500 J of heat is removed from the gas. Calculate the change in internal energy AU of the system.

a. Determine the magnitude of normal reaction the ramp exerts on the sack at this instant. b. Determine the rate of increase in the speed of the sack.

The 8kg sack slides down the smooth ramp. It has a speed of 1.5 ms when y0.34 m. Suppose that y(z) 0.34e m, where zis in m (Figure 1) Figure y(x) 1 of 1 X

A metal bar has a length of 1.36 m and a diameter of 2.4 cm. One end is maintained at 316 K and the other at 400 K. The thermal conductivity is 374 W/m/K. Calculate how much energy is conducted along the bar in 4.3 mins.

Two trucks are pulling a weight. the first truck is exerting a force of 1200 Newtons in direction of north and the second truck is exerting a force of 1000 Newtons in direction of east 30 north. calculate the direction of the resultant vector of force?

A guitar string of length 84.5 cm and mass 7.08 grams is plucked with a force of 3.19 N and starts vibrating at a constant frequency of 465 Hz. a. What is the linear mass density of the string (Make sure you do the appropriate conversions to get the answer in Sl units.) (2) b. What is the velocity of the waves on this string (2) c. What is the

(a) What is the equilibrium current through the bulb? (b) What is the equilibrium speed of the bar?

A metal bar of mass M 0.2 kg and length L 20 cm slides with negligible friction but with good electrical contact down between two vertical metal posts (see figure below). The falling bar and the vertical metal posts have negligible electrical resistance, but the bottom rod is a resistor with resistance R 240 2. Throughout the entire region

Determine the unknown mass (Mx) of the meter, considering the mass configuration as indicated in the figure below. IMPORTANT DATA: The axis of rotation is located at the point: 37 cm. The position of the center of gravity remains the same, in Xcg = 53 cm. The position of the mass of 300 g is d = 17.2 cm

d 17.2 cm Td1 300 g 37 cm LL Xcg 53 cm Mx 90 cm 100 g

Calculate the magnitude of the concentrated force of the second triangular area whose base is 6m.

O 18KN O 18N O 18kNm O 18kNm2 6 kNm

Consider a conducting bar which moves with a constant speed in the presence of an external magnetic field as shown. B (a) Electrons in the bar are free to move. In terms of the electron charge e and the variables defined in the problem, what is the magnetic force on each electron What is the direction of this force (b) The magnetic field deflects

A long straight wire carries a conventional current of I8.2 A in the direction as shown in the figure below. At a particular instant an electron which is a distance of d 3 mm from the wire has a velocity of (1.5,1.8,0) x 105 ms. What is the (vector) force exerted on the electron due to the current in the wire,L. 12 I d

A cylinder holds 0.5 moles of a monoatomic ideal gas at a temperature of 310 K. As the gas expands isothermally from an initial volume of 0.31 m to a final volume of 0.45 m, determine the amount of heat that must be added to the gas to maintain a constant temperature.

Inside a mass spectrometer an atom is ionized so that it has a charge of q 1.6x1019 C and is then accelerated to a speed of 5.0 x 10 ms. The atom then enters a region of uniform magnetic field with a strength of 0.5 T. This field deflects the atom into a circular trajectory as shown. The atom completes an exact semicircle before hitting the

A comet has a period of 72.3 years and moves in an elliptical orbit in which its perihelion (closest approach to the Sun) is 0.640 AU. Find the semimajor axis of the comet and an estimate of the comet's maximum distance from the Sun, both in astronomical units.

a. What is the angular velocity, in rad/s, of the two after the collision? b. What is the kinetic energy, in joules, before and after the collision?

The figure shows an overhead view of a 2.10 kg plastic rod of length 1.20 m on a table. One end of the rod is attached to the table, and the rod is free to pivot about this point without friction. A disk of mass 46.0 g slides toward the opposite end of the rod with an initial velocity of 34.5 ms. The disk strikes the rod and sticks to it. After

A series of thermodynamic processes is shown in the PV diagram. In process ab, 150 J of heat is added to the system, and in process bc, 600 J of heat is added. Find the internal energy change in the process abc. 8 x 10 Pa 3 x 10 Pa 0 b a 2x10 m Ly 5x10 m,A series of thermodynamic processes is shown in the PV diagram. In process ab, 150 J of heat

A boat is moving up and down in the ocean with a period of 1.6s caused by a wave traveling at a speed of 4.4 m/s. Determine the frequency of the wave. Determine the wavelength.

What is the difference in mass Am, at room temperature (T 300 K) and atmospheric pressure, between a cubic meter of air with no water vapor molecules, and a cubic meter of air in which 3.3 percent of the molecules are water vapor molecules

A particle of mass m with speed vo collides with a uniform rod of mass M and length L inelastically on a horizontal frictionless table, as shown in the figure below. The moment of inertia of the rod about its center of mass is IcmML12. If the particle stops after the collision, find the following a) the speed of the center of mass of the rod b)

Calculate the linear acceleration of a car, the 0.310-m radius tires of which have an angular acceleration of 14.0 rad/s 2 . Assume no slippage. (a) How many revolutions do the tires make in 2.50 s if they start from rest? (b) What is their final angular velocity? (c) What is the final velocity of the car?

A wave on a particular guitar string is traveling at a speed of 445m//s. How long is its wavelength, if you hear a sound of frequency equal to 546Hz?

A plastic rod with coefficient of thermal conductivity K is joined linearly to a rod of metal of the same size and shape but with thermal conductivity 3K. The plastic rod's end is kept at 0C, and the metal rod's end is kept at 100C. What is the temperature where they are joined once steady-state is achieved?

0C k T 3k 100

A plunger inside of a syringe, like those we used in lab on October 30November 1 and again in lab November 68, is pushed to compress a region of diatomic gas, which we assume to be ideal, at atmospheric pressure before being compressed, and maintained at constant temperature thereafter. The crosssectional area of the plunger is 3.20 cm. A force of

(a) Calculate the force (in N) the woman in the figure below exerts to do a pushup at constant speed, taking all data to be known to three digits. (You may need to use torque methods from a later chapter.) N 0.89 m m 62 kg CG W 1.49 m W Freaction (b) How much work (in J) does she do if her center of mass rises 0.280 m (c) What is her useful power

When Reynolds number Re exceeds about 2000, fluid flow becomes turbulent. A physician can detect turbulent flow in the heart using sound waves. In this task, you will estimate how much narrowing from plaque needs to occur before fluid flow becomes particularly turbulent. In a typical person, with each passing minute, about 5 liters of blood, of

(a) An ideal gas occupies a volume of 1.2 cm 3 at 20C and atmospheric pressure. Determine the number of molecules of gas in the container. molecules (b) If the pressure of the 1.2-cm 3 volume is reduced to 2.0 10 11 Pa (an extremely good vacuum) while the temperature remains constant, how many moles of gas remain in the container?

The isotope 113 Cd captures a very lowenergy neutron, leading to an excited state of 114 Cd, which emits a ray leading directly to the 114 Cd ground state. a) Find the energy of the ray, neglecting the nuclear recoil. 114 Cd. b) Calculate the kinetic energy of the recoiling

An infinite slab of ferromagnetic material is in the zy plane as depicted. The frozen in magnetization of the slab is M Cz within the magnetic material. Immediately above the slab the magnetic field is B C (y 2), which includes both the magnetic field from external sources and also the magnetic field that results from the magnetization. (This

What effect does dropping the sandbag out of the cart at the equilibrium position have on the maximum speed of the cart View Available Hint(s) It increases the maximum speed. OIt decreases the maximum speed. It has no effect on the maximum speed.

If you had used a tuning fork of 512 Hz with a speed of sound of 340 ms, then the wavelength would have been 46 cm 86 cm O 96 cm O 66 cm

A small ferryboat is 4.10 m wide and 6.90 m long. When a loaded truck pulls onto it, the boat sinks an additional 4.60 cm into the river. What is the weight of the truck

The dew point is the temperature at which water vapor in the air will condense. Being in the desert, the dew point in Tucson is often much lower than in San Diego. Explain why the temperature at night in Tucson is often cooler than in San Diego even if the daytime temperature is higher in Tucson.

A liquid of density 1270kg(m 3) flows steadily through a pipe of varying diameter and height. At Location along the pipe the flow speed is 9.03m s and the pipe diameter dis 11.7 cm. At Location 2, the pipe diameter d2 is 17.9 cm. At Location 1the pipe is Delta y 8.95 m higher than it is at Location 2. Ignoring viscosity, calculate the

A uniform sphere has a moment of inertia of 25MR 02, where M 10 kg and R0 is 10 cm. a. Beginning at rest, the ball is spun around its center of mass by pinching the opposite sides of the sphere and applying a tangential force of 5 N in opposite directions on opposite sides. What is the angular acceleration of the sphere due to these two applied

A block of mass m 10 g is on a frictionless table. It is connected to a wall by a spring of spring constant k 120 Nm. The block is given an initial shove so that its speed is v 8 ms when the spring is uncompressed. Find the amplitude of the resulting simple harmonic motion.

The 1.9Mg car increases its speed uniformly from rest to 17 ms in 28 s up the inclined road Figure 1 of 1 Determine the maximum power that must be supplied by the engine, which operates with an efficiency of e08 (Eigure 1) Express your answer with the appropriate units. Pmax Value Pave Also, find the average power supplied by the engine Express

A 100 W tungsten lamp operates at a temperature of 1800 K. How many photons does it emit per second in the interval 5000 A to 5001 1A (Assume the filament emits as a black)

What is the change in length (in mm) of the femur bone, if the leg is supporting 74.7 kg of their 100 kg body mass, their femur has an area of 0.001257 m2, their femur is 0.40 m long (assuming a uniform rod) and the Youngs modulus for bone is 9.0 GPa.

a 2.25 m 2 theemopane window consists kd rel glass panes each 0.75 cm thick with a 0.50 cm thick sealed layer of nitrogen gas in between. k 0.8 J(s m C), knitrogen 0.0234 J(s m C). if the outside stretchesv temperature is 20 C and the outside surface temperature is 0 C determine the rate of energy transfer in watts theough the window

A mass experiences a torque vector in the direction shown. The leverage arm vector is also shown. What is the direction of the force being applied on the mass that produces this torque Into the page. Out of the page To the top. To the bottowm Tod the left. To the right. 7 7

Masses m and m are connected by a light string that passes over a frictionless pulley as shown in the figure. M is held at rest on the floor and m, rests on a fixed incline of angle 9. The masses are released from rest and m slides down the incline. Ignore friction between the mass and the incline. Derive the equation for the acceleration of the

What is the direction of the force on a negative charge if the charge is moving at an upward angle to the east and the magnetic field points down? 1) down 2) south 3) west 4) None of the other answers. 5) north 6) east 7) up

The vehicle is designed to combine the feel of a motorcycle with the comfort and safety of an automobile (Eigure 1) Figure 1 of 1 If the vehicle is traveling at a constant speed of 80 kmh along a circular curved road of radius 105 m, determine the filt angle of the vehicle so that only a normall force from the seat acts on the driver Neglect the

R R 20 R h,A cylindrical buoy with hemispherical ends is dropped in seawater of density 1027 kgm, as shown in the figure. The mass of the buoy is 82.9 kg, the radius of the cylinder and the hemispherical caps is R 0.201 m, and the length of the cylindrical center section of the buoy is L 0.598 m. The lower part of the buoy is weighted so that the

Assuming that the mass of the meter measured by balance is MX 100 g What is the tension with which the rope holds the meter for balance as illustrated in the figure below IMPORTANT FACT The axis of rotation is located at the same point of the center of gravity Xcg 53 cm a. 800g b. 8.82 N c. 0.98 N d. 100 g e. missing data f. none of the above,0

If you place a charged plastic rod near a balloon, without touching it, the balloon O will move towards the rod because some of the negative charge is transferred to the balloon, making it electrically charged O will move away from the rod because some of the negative charge is transferred to the balloon, making it electrically charged will move

Object A and object Bare two identical microscopic objects. The table below shows the number of ways to arrange energy in one of these objects, as a function of the amount of energy in the object. E 4e 6e8e 1e 12e 14e 16e (joules) 21 21 21 20 20 20 20 ways 6 20 37 60 90 122 148 When there are 1.0E20 joules of energy in object A, what is the

How was the sound signal captured on phonograph records of the twentieth century? a.The vinyl phonograph record has a long spiral groove on its surface. The grooves has a variable depth so the rotating record vibrate on different frequencies and amplitudes, corresponding to the original sound. Those tiny vibrations of the record are not seen by

Three ropes A, B and C are tied together in one single knot K. (See figure.) 11 y (m) 10 9 8 7 6 5 4 3 2 1 A B 0 0 1 2 3 4 5 6 7 8 9 10 11 x (m) If the tension in rope A is 81.5 N, then what is the tension in rope B,Three ropes A, B and C are tied together in one single knot K. (See figure.) 11 y (m) 10 9 8 7 6 5 4 3 2 1 A B 0 0 1 2 3 4 5 6 7 8 9

Explain with second law of thermodynamics ( link below)

A heat engine with an efficiency of 24 performs 1250 J of work. Find the heat given off to the cold reservoir.

Explain with first law of thermodynamics ( link below)

Jogging along the beach one day, you do 4.3 x 105 J of work and give off 3.8 x 10 J of heat. What is the change in your internal energy b) Switching over to walking, you give off 1.2 x 105 J of heat and your internal energy decreases by 2.6 x 105 J. How much work have you done while walking

Many students will perceive situp with an incline with legs above head to be the most difficult even though the torque requirement is not the greatest. Describe two reasons why students may perceive this situp to be the most difficult even though it doesnt require the most amount of torque

I sat on a stool with a spinning bike tire. I was initially at rest. Then, I flipped over the spinning bike tire and I began to rotate. Explain whether the following quantities change or remain constant during this process . Kinetic Energy of the system of the bike tire and me. Is there a transfer of energy from the bike tire to me? If not where

A 0.1kg metal bar has a specific heat of 200 J(kgC). It starts with a temperature of 40C. It is then immersed in a large vat of ice water with ice cubes floating in it. What net heat Q is transferred into the metal bar by the time it achieves the same temperature as the icy reservoir A) 400 J B)400 J C) 0 J D)800 J

Ice at 0C is placed in a styrofoam cup containing 0.42 kg of lemonade at 37C. After the ice and lemonade reach an equilibrium temperature (-0C), some ice still remains. Assuming that lemonade behaves like water, determine the mass of ice that has melted. (Hint: heat gained by ice=heat lost by lemonade; Also note: AT=Thigher-Tower)

A basketball is pressurized to a gauge pressure of P G = 60kPa when at the surface of a swimming pool. ( P atm = 101 kPa). The ball is then submerged in the pool of water which has a density = 1000 kg/m 3 . Assume the ball does not change in mass, temperature, or volume as it is submerged. Part (a) Calculate the absolute pressure inside the

A concrete sidewalk is constructed between two buildings on a day when the temperature is 25C. As the temperature rises to 38C, the slabs expand by a length of 0.00094m. What is the original length of the sidewalk at 25 C? Assume the linear thermal expansion coefficient is 12x10 c

Fluid is flowing from left to right through the pipe shown in the drawing. Points 1 and 2 are at the same height, but the crosssectional areas of the pipe are different at the two locations. Points 3 and 4 are at the same heights, but the crosssectional areas are different. Rank the velocities at four locations Rank the pressures at the three

large helium-filled balloons are used to lift scientific equipment to high altitudes. (a) what is the pressure inside such a balloon (in atm) if it starts out at sea level with a temperature of 20.8C and rises to an altitude where its volume is 22 times the original volume and its temperature is -35.7C? (enter your answer to at least 3 decimal

A gas at an initial temperature of 317K undergoes a thermodynamic process where its volume changes from 3 8.74 x 10m to 4.28 10 x 3 m, while the pressure is kept constant. Assuming there are 2.35mol of the gas, what is the final temperature of the gas Express your answer in K.

A bike wheel has a moment of inertia of I, and experiences a net torque of T. If it starts from rest at time t = 0, at an angular position of =0, which formula describes its new angular position after a time of At seconds?

Styrofoam is a spongy material prepared from polystyrene and is used in a variety of applications. In terms of physical characteristics, how does the polymer you prepared in lab differ from Styrofoam?

A 1.5-kg ball tied to a 3-m light string on the ceiling was released at an angle of 280 from the equilibrium position. What will be the velocity of the ball at an angle of 13 0 before it reaches equilibrium?

You are unknowingly walking on top of an electrical wire which is buried 0.5 m underground and is carrying a current of 2,000 Amps. What is the strength of the magnetic field that the top of your head experiences? Assume you are 1 m tall.

A balloon inflated with helium gas (density = 0.2 kg/m) has a volume of 6x10- m. If the density of air is 1.3 kg/m, what is the buoyant force exerted on the balloon?

A container of rocks with a mass of 65 kilograms is brought back from the Moon's surface where the acceleration due to gravity is 1.62 m/s 2 . What is the weight of the container of rocks on Earth's surface?

An electric arc occurred between two surfaces, which has a voltage of 40,000 volts, and the resistance of the air path is 10,000 ohms. What would be the total energy that has been released if the arc continued on 12 cycles on 60 Hz AC current?

The frequency of oscillation of the wave emit ted by an FM radio station is 92.8 MHz. Find the period of vibration. Radio waves travel at a speed of light 3 x 108 ms. Answer in units of ns. Find the wavelength. Answer in units of m.

A solid piece of wood (density: 650kg/m ) is floating in the ocean (water density: 1026kg/m'). The wood is 0.5m thick and each side of the wood is 6 m long. Calculate the maximum possible buoyant force? Does the wood float in the water? What is the maximum load (in kg) that can be placed on the piece of wood before it starts to sink? Without any

A truck moving at 45 mph passes an emergency vehicle moving at 85 mph in the opposite direction. If the frequency of the siren is 500 Hz, what is the frequency in Hz heard by an observer in the truck as the emergency vehicle approaches the truck? (The speed of sound in air is 344.8 m/s.)

Ernie pulls his wool sweater over his head, which charges his body as the sweater rubs against his cotton shirt. What is the electric field at a location where a 1.6x10-9 C piece of lint experiences a force of 3.2x10-9 N as it floats near Ernie?

A 0.65 kg ball is falling downward at 7.0 m/s. At this instant : (a) What is the direction of the linear momentum of the ball? (b) What is the direction of the kinetic energy of the ball? (c) What is the kinetic energy of the ball? (d) What is the linear momentum of the ball?

A small object is 12 m below the surface of a freshwater lake. Use 1 atm (in Pascals) as P. a. Draw a picture of the situation. b. What is the pressure on the object? c. The object is then raised to a depth of 7.0 m. Find the pressure on the object now.

You are standing on a train platform, near the edge, talking to a friend, facing the tracks. Suddenly, a crazed dog-person (half man/half dog) comes up from behind and attempts to push you onto the tracks. What postural control strategy would you need to use in order to remain on the train platform (because falling on the tracks would not be good)?

A 2kg brick that is initially sitting at rest falls off the roof of the BSU Science Building and moves vertically straight down. Just before it reaches the ground, the brick's speed is 17 m/s. Neglect air resistance and use energy ideas to determine the height of the Science Building. Assume that the earth and brick system is isolated.

A metal wire, which has a specific power rating, can carry a maximum current I. The wire is then cut into 4 equal pieces that are then connected side by side to form a new wire whose length is equal to one-fourth the original length. What maximum current can the newly formed wire carry?

Mary performs three different dives and rotates through the same number of revolutions in the same amount of time in all three dives. In all the dives, Mary's positions at takeoff and just before water entry are identical layout positions. In dive 1, she is in a layout position midflight. In dive 2, she is in a tuck position midflight in dive 3,

A set of identical triplets (Alfie, Betty, and Gemma), all of the same mass, are playing on a sledding hill with a height of 8.0 meters. The sleds are the flimsy plastic kind, so you can ignore the mass of the sleds. Alfie, gets a running start of 3.0 m/s at the top of the hill and sleds to the bottom. The hill is slippery enough that the effects

You are driving down a highway with a speed of 30.0 m/s, and exit down a 57.5 m long exit ramp with a deceleration (negative acceleration) of -2.5 m/s 2 . What is the car's velocity (in m/s) at the end of the exit ramp? Answer to one decimal place.

A cube of side length 14.0cm and made of unknown material floats at the surface between water and oil. The oil has a density of 810g/m 3 . a. If the cube floats so that it is74%in the water and26%in the oil, what is the mass of the cube? b. What is the buoyant force on the cube?

Meghann Moira Lanning is an Australian woman cricketer and an opening batsman in the team. In her second One-Day International match in 2011, she become Australia's youngest century-maker (male or female) at the age of 18 years and 288 days. In a rare mishit, Lanning hit a cricket ball vertically upward with an initial velocity of +21.1 m/s.

Dave was a delivery driver at Domino's years back, and had some really mad skills with spinning pizza boxes. The length of the box was 37 cm and the width of the box was 52 and the mass of the box with a pizza was 1,100 g. If the delivery driver was able to rotate the pizza box at 48.63 rad/s 2 .what was the torque the pizza and pizza box

On the imaginary planet of Metalinus, metals have different densities than what they have on Earth. For example, brass has a density of 11 g/cm and lead has a density of 15 g/cm. The beings living on this planet love to balance things. Where should they place their tentacle to balance a beam that is 2 meters in length if the first half of the beam

Two trains T1 and T2 are travelling on parallel tracks and in opposite directions. P1 and P2 are two persons who are travelling in T1 and T2 respectively. When the two trains just start to cross each other, P1, who is at the tail end of T1, starts running towards the front end of T1, at a speed of 6 m/s, and P2, who is at the front end of T2

1379.4 liters tank of a perfect gas with R = 0.279 kJ/kg o K is held at 2140.74 kPa gauge and 350.9 o C . Find the mass of the gas in the tank. Express your answer in kilograms, rounded to three decimal places with units.

It's that time of the year when Brian loves to decorate his house by hanging up festive Christmas lights. To hang up his lights, he leans the top of a 5.2-m ladder against the side of his house; the bottom of the ladder is 1.8 m away from the house. Suppose the CM of the ladder is located 2.2 m from the base of the ladder, as measured along its

Two river bandits each have a mass of 70 kg place their stolen goods with a mass of 40 kg on a wooden raft and float down the river. The raft is made from solid wood with a density of 700 kg/m. The raft has dimensions of 3 meters by 5 meters by 40 cm. a) Draw a FBD showing all of the forces acting on the wood raft. b) Determine the weight of the

Define what is meant by buoyancy. If an object sinks, is its density greater or less than the density of the fluid? If an object has neutral buoyancy how do the fluid and object densities compare? If an object floats, how do the fluid and object densities are compared? Explain

You want to move a large rock. Your mass is 75 kg and the rock has a 1243 kg. You take a large stick and place the rock 12 cm from a pivot. Where must you apply your weight to just lift the rock?

16.19 cm 3 of a gas at atmospheric pressure and 33.8 o C is compressed at constant volume. If the the final temperature is 68.4 o C what is the final pressure? Express your answer as kilo Pascals gauge pressure rounded to two decimal places.

A proton of mass m, with initial velocity v, collides with a helium atom, mass 4m,, that is ini tially at rest. If the proton leaves the point of impact at an angle of 45 with its original line of motion, find the final velocities of each particle. Assume that the collision is perfectly elastic.

Determine the unknown mass (mx) that must be added at point 20 cm, to balance it horizontally, considering that there are masses hanging at points 40 cm and 80 cm, of 100g and 200 g respectively, as illustrated in the figure below. Express the result to two decimal places. DO NOT forget the units. The axis of rotation is located at the same point

20 cm 40 cm mx 100 g 53 cm 80 cm 200 g

A system has 231.2 kJ of work transferred into it while the internal energy increases from 404.6 kJ to 714.3 kJ. Calculate the magnitude and direction of the heat transfer, rounded to one decimal place.