A particular human hair has a Young's modulus of 3.77×109 N/m2and a diameter of 146 μm.

If a 256 g object is suspended by the single strand of hair that is originally 15.5 cmlong, by how much ΔL hair

will the hair stretch?

If the same object were hung from an aluminum wire of the same dimensions as the hair, by how much ΔLAl

would the aluminum stretch?

If the strand of hair is modeled as a spring, what is its spring constant khair?

What is the quark designation of a neutron?

What happens to nuclei that have too many neutrons?

377 g of water at 81°C & 279 g of glycerin at 47°C are poured into a 427 g copper cup at 58°C. Assuming these three make up a closed (or isolated) system, determine the FINAL TEMPERATURE of the system.

A cube of ice is taken from the freezer at -9.4°C and placed in a 100 g aluminum calorimeter filled with 278 g of water at room temperature of 20°C. The final situation is observed to be all water at 15°C. What was the mass of the ice cube?

274 g of water at 2°C is added to ice at 0°C. If the final temperature of the system (which you can assume is isolated) is 0°C, determine HOW MUCH ICE MELTED.

0.4 kg of steam at 100°C is added to 2.74 kg of ice at 0°C. Determine the temperature of the mixture once thermal equilibrium is reached.

1) a car of mass 999 kg traveling at 72.0 km/hour enters a flat(non-banked) and dry curve of radius 97.4 m. What is the coefficient of static friction between the tires and the road required to prevent the car from slipping ?

2) Shirin pushes a 27.1 kg crate a distance of 8.65 m along a level floor at constant velocity by pushing downward at an angle of 32.0 below the horizontal. The coefficient of kinetic friction between the crate and floor is 0.370.

a) what magnitude of force must Shirin apply to move the crate at constant velocity ?

b) how much work does Shirin do on the crate, when it is pushed this distance of 8.65 m?

3.) A soccer ball with mass 0.880 kg is initially moving with speed 1.55 m/s. Marcus Rashford kicks the ball, exerting a constant force of magnitude 97.0 N in the same direction as the ball's motion. Over what distance must Marcus's foot be in contact with the ball to increase the ball's speed to 8.33 m/s ?

Before Fuel Injection. Some automobile engines (mainly older ones) use a carburetor to turn the liquid fuel into vapor and mix it with air for combustion. The basic principle of carburetion is shown in Figure P10.82. A piston moves down in the cylinder thereby moving air from the outside through the carburetor by way of an air filter and into the carburetor. The filtered air enters from the left of Figure P10.82 and moves into the main intake, a tube of diameter 4.2 cm, with velocity v = 10 m/s. The air must pass through a region of the intake that has a smaller diameter. Determine what diameter would be needed cause a change in pressure such that fuel from the reservoir is pulled into the airflow. The surface of the fuel in the reservoir is h = 37 cm below the bottom of the intake and the density of the fuel is 0.45 that of water. Use 1000 kg/m^3 for the density of water and 1.29 kg/m^3 for the density of air

How does weight (in terms of w=mg) affect a wide and narrow grip pull ups? does velocity, acceleration, displacement have something to do with it?

A force of magnitude 750.0 N stretches a certain spring by 0.220 m from its equilibrium position. a)What is the force constant of this spring? b)How much elastic potential energy is stored in the spring when it is stretched 0.360 m from its equilibrium position. c)How much elastic potential energy is stored in the spring when it is compressed by 0.360 m from its equilibrium position? d)How much work was done in stretching the spring by the original 0.220 m ?

A 2000kg large boxcar that rolls without friction is sitting at rest. It is shot by a 20kg cannonball traveling 150m/s. What will the final velocity of the boxcar be in the following situations? a.) The cannon ball breaks through the boxcar walls and continues forward at 50m/s. b.) The cannonball breaks through one wall of the boxcar and then gets stuck inside the car. c.) The cannonball bounces off the boxcar wall rebounding with a reverse velocity of -50m/s. d.) Qualitatively explain why the boxcar ought to have the least speed when the cannonball passes through it and the most speed when the ball bounces?

A satellite has a mass of 6189 kg and is in a circular orbit 4.84 × 10⁵ m above the surface of a planet. The period of the orbit is 2.4 hours. The radius of the planet is 4.80 × 10⁶ m. What would be the true weight of the satellite if it were at rest on the planet’s surface?

W = ?

3. (a) The range of audible frequencies of sound in air, assuming sufficient amplitude, is from about 20 Hz to 20, 000 Hz. What is the range of audible wavelengths? Take the speed of sound in still air to be v = 344m/s.

(b) Sound is detected when the eardrum is caused to vibrate. The diameter of the eardrum is about 10 mm. Suppose a person whispers into your ear with an intensity, I = 10−8 W/m2 = E/(At), where E is the energy delivered to your eardrum, A is the area of the eardrum, and t is the duration of the whisper. i. What is the decibel level of the whisper ? ii. Calculate the area of the eardrum. How much energy, E, is delivered to the eardrum during 1 minute of the whisper ?

(c) A 1.5 metre long rope is stretched between two supports with a tension that gives a speed of transverse waves of 48 m/s. What is the wavelength and frequency of: i. the fundamental frequency? ii. the fourth harmonic?

(d) Two swift canaries fly towards each other, each moving at 15m/s relative to the ground, and each warbling a note of frequency 1,750Hz. i. What frequency does each canary hear from the note of the other? ii. What wavelength will each canary measure for the note of the other?

Common terns hover in a stationary position over the ocean watching for a tasty fish. When they see one, they immediately stop their wings and simply free-fall into the ocean to catch the fish. Calculate how long a fish near the surface has to move away after the instant a tern sees it from a height of 3 m above the surface. Repeat Problem above, but now include air resistance. Assume a ball of 3 cm radius with an average density of 4400 kg/m 3 , a density of air of 1.3 kg/m 3 , and a value of C = 1.

Given the following information about the Higgs boson Develop a scheme (in the form of Feynman diagrams) to produce it and detect it at the LHC (a proton-proton collider) A few givens/assumptions: • Its electrically neutral • Its mass = 125 GeV/c2 • Its coupling goes as the mass of the object it couples to. • It sucks to detect something if there are too many jets in the final state.

Hello, I am wondering how I can determine the direction in which a wave is travelling given a function I must verify if it first is a solution to the wave equation by finding the partial derivatives then I do not know how to extrapolate the direction and speed of a wave. Thanks

A motorist drives south at 26.0 m/s for 3.00 min, then turns west and travels at 25.0 m/s for 2.00 min, and finally travels northwest at 30.0 m/s for 1.00 min. For this 6.00 min trip, find the following values.

(a) total vector displacement
_____m (magnitude) ___° south of west

(b) average speed
____m/s
(c) average velocity
____m/s (magnitude) _____° south of west