Suppose that the dipole moment associated with an iron atom of an iron bar is 1.7 × 10^-23 J/T. Assume that all the atoms in the bar, which is 7.0 cm long and has a cross-sectional area of 1.1 cm², have their dipole moments aligned. (a) What is the dipole moment of the bar? (b) What torque must be exerted to hold this magnet perpendicular to an external field of 2.0 T? (The density of iron is 7.9 g/cm³ and its molar mass is 55.9 g/mol.)

Complete the following statement: The maximum speed at which a car can safely negotiate an unbanked curve depends on all of the following factors except

A) the diameter of the curve.

B) the acceleration due to gravity.

C) the coefficient of static friction between the road and the tires.

D) the coefficient of kinetic friction between the road and the tires.

E) the ratio of the static frictional force between the road and the tires and the normal force exerted on the car.

Please explain in detail.

Three point charges are placed on the x-y plane: a +40.0nC charge at the origin, a -40.0nC charge on the x axis at 10.0cm, and a +100.0nC charge at the point (10.0cm, 9.00cm).

(A) Find the total electric force on the +100.0nC charge due to the other two.

Please answer in this format: ( ? N)x + ( ? N)y

(B) What is the electric field at the location of the +100.0nC charge due to the presence of the other two charges?

Please answer in this format: ( ? N/C)x + ( ? N/C)y

1. What condition is necessary for a shock wave to be created? How are sonic booms (a kind of sound wave) and Cherenkov radiations (a kind of light wave) similar? How are they different?

2. Explain how "light shockwaves" are created, if light is the fastest-moving thing in the universe. As an example, describe how the blue glow in the nuclear reactor pulse is created.

In the inside of a TV set an electron is accerlerated by a potential difference of 20 kV in an evacuated tube. It is then passed through an uniform magnetic field of 100 mT which deflects it to the desired position on the screen.

1) Draw a diagram showing the path of the electron as it passes from the electron source to the screen.

2) After passing through the accelerating potential, what is the kinetic energy of the electron in eV? In joules?

3) What is the speed of the electron just before it enters the magnetic deflecting field?

4) What will be the radius of curvature of its path in the field?

An artificial satellite is in a circular orbit d=470.0 km above the surface of a planet of radius  r=3.95×10^3 km. The period of revolution of the satellite around the planet is T=1.15 hours. What is the average density of the planet?

A mass weighing 12lb stretches a spring 10in.. The mass is attached to a viscous damper with damping constant 3lb*s/ft. The mass is pushed upward, contracting the spring a distance of 2in, and then set into motion with a downward velocity of 4in/s. Determine the position of the mass at any time . Use as 32ft/s^2the acceleration due to gravity. Pay close attention to the units.

A microscope is used to examine a sample of bacteria that are spread on glass. If the diameter of the objective is twice its focal length and the sample is near the focal point of the objective, determine the shortest distance between two bacteria that can be resolved under the microscope in the terms of the wavelength ? of the light source.
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A solid bowling ball with a radius of 10.9 cm and a mass of 7.3 kg rolls along a bowling alley at a linear speed of 2.6 m/s.  
What is its translational kinetic energy? What is its rotational kinetic energy

A quidditch match is going on between Hufflepuff and Ravenclaw. A Hufflepuff chaser is flying 10 degrees north of east at a speed of 5 m/s. A bludger is heading east at a speed of 10 m/s. The bludger has a mass of 10 kg, and the player plus broom has a total mass of 80 kg. If the chaser catches the bludger (i.e. they collide and stick together), at what angle north of east do they move? Give both the expression and the numerical answer. (If you are not familiar with Harry Potter and its wizard jargon, you can reframe the question with the Hufflepuff chaser (player) as a soccer player and the bludger as a soccer ball.).

Please every step of the expression

A bullet of mass 0.0016 kg moving at 499 m/s impacts a large fixed block of wood and travels 6.7 cm before coming to rest. Assuming that the deceleration of the bullet is constant, find the force exerted by the wood on the bullet.

Answer in units of kN

A 4.1 kg bucket of water is raised from a well by a rope. The acceleration of gravity is 9.81 m/s^2 .
If the upward acceleration of the bucket is 2.1 m/s2 , find the force exerted by the rope on the bucket of water.
Answer in units of N

A) The potential energy (U) of an object of mass m at a distance R from the center of the earth can be expressed as, U= -GMm/R. Where is the reference location of potential energy and what is the value of potential energy at that reference location?

B) Write a math expression of total mechanical energy for an object of mass m and escape velocity Vesc at the earth's surface.

C) What is the total mechanical energy of an object of mass m when it reaches at infinity with zero velocity.

D) Derive an expression for escape velocity using your answer in part b and c and calculate it. Mass of earth is 6 * 10^24 kg, radius of the earth is 6.4 * 10^6 m and G= 6.67 * 10^-11 N.m^2/kg.