3.

a) Find the acceleration of gravity at the height of 2.0 x 10⁶ above the earth.

b) A spherical asteroid that is the size of Texas would have a mass about 2.4 x 10²¹kg and radius of 4.7x 10⁵ meters. Find the acceleration of gravity on this asteroid.
c) Name three controls on a car that control acceleration.

d) Explain how the spin cycle of a washing machine removes most of the water from the wet clothes.

A 30 gallon cylindrical drum is filled with water and is slowly
drained from its base. Let h = the height of water left in the
drum. If the empty drum has a height of 1.4 meters and a
mass of 100 kg, calculate: (a) the mass of water in the drum;
(b) the radius of the drum; (c) the height of the c.o.m. of the
drum plus water left in the drum, as a function of h. (d) At
what value of h is the c.o.m. at its lowest point?

What is drift velocity?

Question 98)

Part 1)

A charged cloud system produces an electric field in the air near Earth's surface. A particle of charge -2.1 × 10^-9 C is acted on by a downward electrostatic force of 4.0 × 10^-6 N when placed in this field. (a) What is the magnitude of the electric field? (b) What is the magnitude of the electrostatic force on a proton placed in this field? (c) What is the gravitational force on the proton? (d) What is the ratio of the electrostatic force to the gravitational force in this case?

Part 2)

A block with a mass of 11.1 g and a charge of +6.70 × 10^-5 C is placed in an electric field with x component E_x = 2.77 × 10³ N/C, y component E_y = -728 N/C, and z component E_z = 0. (a) What is the magnitude of the electrostatic force on the block and (b) what angle does that force make with the positive x direction? If the block is released from rest at the origin at time t = 0, what are its (c) x and (d) y coordinates at t = 2.80 s?

Part 3)

An electron is shot at an initial speed of v₀ = 4.62 × 10⁶ m/s, at angle θ₀ = 40.9 ˚ from an x axis. It moves through a uniform electric field E→ = (5.40 N/C)j→. A screen for detecting electrons is positioned parallel to the y axis, at distance x = 1.84 m. What is the y component of the electron's velocity (sign included) when the electron hits the screen?

The electric potential immediately outside a charged conducting sphere is 220 V, and 10.0 cm farther from the center of the sphere the potential is 140 V.

(a) Determine the radius of the sphere.

. cm

(b) Determine the charge on the sphere.

nC

The electric potential immediately outside another charged conducting sphere is 250 V, and 10.0 cm farther from the center the magnitude of the electric field is 360 V/m. (c) Determine all possible values for the radius of the sphere. (Enter your answers from smallest to largest. If only one value exists, enter "NONE" in the second answer blank.)

(d) Determine the charge on the sphere for each value of r. (If only one value exists, enter "NONE" in the second answer blank.)

3.c Compare and contrast the interference fringe patterns of a Fabry-Perot interferometer and aMichelson interferometer, with each interferometer illuminated in the same way by a divergent laser light beam and with equal path differences contributing to the interference. Be sure to note both how the patterns are similar and why the patterns are different.

To supply heated air to a house, a high-efficiency gas furnace burns gaseous propane (C3H8) with a combustion efficiency of 96 percent. Both the fuel and 40 percent excess air are supplied to the combustion chamber at 25C and 100 kPa, and the combustion is complete. Because this is a high-efficiency furnace, the product gases are cooled to 40C and 100 kPa before leaving the furnace. To maintain the house at the desired temperature, a heat transfer rate of 31,650 kJ/h is required from the furnace. Determine the volume of water condensed from the product gases per day, in Litre/day.

Achondroplasia is a dominant trait that causes a characteristic form of dwarfism. In a survey of 50000 births, five infants with achondroplasia were identified. Two of the affected infants had affected parents, while three had normal parents.

Part A

Calculate the mutation rate for achondroplasia and express the rate as the number of mutant genes per given number of gametes.

Express your answer using two significant figures.

μ =

A 0.78-kg block and a 0.56-kg block sits on a rotating disk. They are connecting by a 12-cm long string. The coefficients of static and kinetic friction between the block and disk are µs = 0.87 and µk = 0.63, respectively. The cart is on wheels and moves frictionless. The distances of the block and the cart from the center of disk are 0.23 m and 0.35 m, respectively. The block and cart are sitting (i.e., are not moving) relative to the disk. a) The disk rotates at 33 rpm. Find the acceleration of the block and the cart. b) Draw the appropriate free-body diagrams! 4 c) Write down Newton’s second law for the block and the cart! d) Find magnitudes of all forces acting both on the block and the cart! Are these forces consistent with the fact that the block and cart are sitting (i.e., are not moving) relative to the disk?

13) There are several types of drag on a car other than air resistance. Effects having to do with the squeezing of the tires (rolling resistance) and frictional forces in the drivetrain (the system that transfers energy from the engine to the rotation of the wheels) also must be taken into account. Engineers use the following equation to model the total force due to these different effects Fdrag=A+Bv+Cv2Fdrag=A+Bv+Cv2 For a Camry, these coefficients are estimated to be A=117.130A=117.130 N, B=1.800 N s/mB=1.800 N s/m, and C=0.368 N s2/m2C=0.368 N s2/m2. Suppose that the driver steadily accelerates the car from 0 km/hr to 100 km/hr over a 3.4 s. What is the magnitude of the work done by the drag forces? Hint: What is the instantaneous power of the drag? What is the relationship between that and the total work done by drag forces? Which kinematic model can you use to relate velocity, time, and acceleration? a) How much energy is lost to drag when the car travels 35 km at 31 m/s? Answer: b) The car drives a distance 110 m up a section of road whose grade is 20% (the grade is the vertical rise of the road as a percent of the horizontal run of the road). The car's speed is 31 m/s. The car has a mass of 1543.60 kg. What is the minimum amount of power needed for the car to drive up this section of road, assuming perfect efficiency? I already have the first part don I just dont know how to do the last two parts of this one question

Write down a generic molecular Hamiltonian (or, if you want a concrete example, the one for H2). Then using words and equations, show precisely what steps and approximations are made to ultimately come up with the harmonic oscillator Hamiltonian for vibration and the rigid rotator Hamiltonian for rotation of the molecule.

what is the HR path a 9-10 solar mass star takes when it dies

A road heading due east passes over a small hill. You drive a car of mass mat constant speed over the top of the hill, where the shape of the roadway is well approximated as an arc of a circle with radius R. Sensors have been placed on the road surface there to measure the downward force that cars exert on the surface at various speeds. The table gives values of this force versus speed for your car is shown in the table below. Treat the car as a particle.

Select a way to represent the data from figure as a straight line. You might need to raise the speed, the force, or both to some power.

Select a way to represent the data from figure as a straight line. You might need to raise the speed, the force, or both to some power.

Read: A block, with mass 1.17 kg sitting on an incline plane at 5.20° with a friction coefficient, ??=0.450, is attached to another freely hanging block that weighs 2.01 kg. A pulley with mass, .423 kg, is between them with a radius of .0810m.

Task: Calculate the translational acceleration of the system.

List: Givens, Principle of Physics used, and Solve

Please briefly answer all the questions below, and writing those clearer and tidier (It is best to use typing)

This is a problem related to the nanoscale manipulation.

1. Please compare various manipulation methods, STM, AFM, optical tweezer, and magnetic tweezer in terms of force magnitude.
2. Describe the physical principle of the optical tweezer for trapping an atom.
3. Try to think and write down the possible difficulties and challenges you will face when you perform the manipulation on a single nanostructure.