Is the acceleration of Mars' acceleration much greater than that of the Earth (encircling their orbit around the sun)? Justify your answer.

The mass of Pluto was unknown until it was discovered that it had a moon. Explain how to estimate the mass of Pluto. Explain how this made it possible to estimate the mass of Pluto.

An electric motor is a device that transfers electrically stored energy into kinetic energy. A very crude one would consist of a conducting wire shaped as a loop with a steady electric current passing through it placed in a uniform magnetic field. Let's imagine that the magnetic field is directed along the positive xx-axis, which we'll set up as going from left to right. The yy-axis points up and the zz-axis points out. Assume an absence of any frictional effects.

Which combination of options below are the most accurate combination of statements? [Enter your answer as a string of the letter options you believe are correct. For instance, if you think options A, D, and E are correct, then enter "ADE"]

A) If the current loop's dipole moment is initially aligned with the field, then it will flip back until it is anti-aligned, and then forth.
B) Maximum potential energy in this system occurs when the dipole moment points in the −i^−i^ direction
C) If the dipole moment initially points along the k^k^ direction, it's left end will feel a force pushing in along the −k^−k^ direction.
D) If the dipole moment initially points along the k^k^ direction, it's right end will feel a force pushing out along the k^k^ direction.
E) None of the above

A circular circuit of radius 30 cm is built to rotate about a

pair of insulating posts. The circuit consists of a 100 volt

battery, two 25 kW resistors in parallel and one 75 kW

resistor in series. The circuit is exposed to an external uniform magnetic field

of magnitude 0.75 Tesla and directed 20 degrees from the

normal vector of the circuit and the axis of rotation.

Calculate the total torque (magnitude and direction) on the

circuit

Calculate the component of the torque on the circuit

(magnitude and direction) at point A (exactly ¼ of the way

around the loop)

Calculate the component of the torque on the circuit

(magnitude and direction) at point B (exactly 7/8 of the way

around the loop)

Mountain pull. A large mountain can slightly affect the direction of “down” as determined by a plumb line. Assume that we can model a mountain as a sphere of radius R = 3.00 km and density (mass per unit volume) 2.6 × 103 kg/m3. Assume also that we hang a 0.500m plumb line at a distance of 3R from the sphere's center and such that the sphere pulls horizontally on the lower end. How far would the lower end move toward the sphere?

Provide a, minimum, 250 word explanation of resonance and hot it applies to today's MRI (Magnetic Resonance Imaging) technnique used in medicine. Include example equations for solving for resonance in your explanation.

Must be a minimum of 250 words, explain resonance and MRI's, and include equations for thumbs up!... Thank you!

Two 78.5-kg hockey players skating at 6.47 m/s collide and stick together. If the angle between their initial directions was 115 ∘, what is their speed after the collision?

At the surface of a lake, the pressure is 1 atmosphere. What is the total pressure at a depth of 850m in water?

A 22.0 μF capacitor is charged by a 160.0-V power supply, then disconnected from the power and connected in series with a 0.240-mH inductor.

Calculate the energy stored in the inductor at t = 1.45 ms .

Exercise 2: Using the Relativistic Energy Momentum relationship ?² = ?²?² + ?²?⁴ and the de-Broglie relationships ? = ℏ? and ? = ℏ? with ? the angular frequency and ? the wave number, find the group ?_? and the phase velocity ?_?ℎ of the de-Broglie waves and show that their product is equal to ?².

Exercise 1: A positronium is a bound electron positron state, where the electron is rotating around a positron rather than a proton. Prove that in a positronium bound state:

a) The transition energy levels are halved compared with those of the Hydrogen Atom.

b) The electron radii are expanded to double the corresponding radii of the Hydrogen Atom.

A uniform helicopter rotor blade is 8.97 m long, has a mass of 104 kg, and is attached to the rotor axle by a single bolt. (a) What is the magnitude of the force on the bolt from the axle when the rotor is turning at 329 rev/min? (Hint: For this calculation the blade can be considered to be a point mass at its center of mass. Why?) (b) Calculate the torque that must be applied to the rotor to bring it to full speed from rest in 7.68 s. Ignore air resistance. (The blade cannot be considered to be a point mass for this calculation. Why not? Assume the mass distribution of a uniform thin rod.) (c) How much work does the torque do on the blade for the blade to reach a speed of 329 rev/min?

Water falls without splashing at a rate of 0.400 L/s from a height of 3.60 m into a 0.530-kg bucket on a scale. If the bucket is originally empty, what does the scale read 3.40 s after water starts to accumulate in it?

1. Three identical resistors are connected in parallel to a single battery. The current through the resistors must be...

a. one-third of the current through the battery.
b. the same for the resistors as for the battery.
c. different for each resistor.
d. higher for one resistor and lower for the other two.

2. A 6Ω and a 12Ω resistor are connected in series with a 36 volt battery,. How many Joules per second are dissipated by the 12Ω resistor.

a. 14 watts
b. 24 watts
c. 48 watts
d. 64 watts

3. Six identical resistors are connected in series with a battery. The number of joules per second supplied by the battery is then determined. If a seventh resistor is added (in series) the number of joules per second supplied by the battery:

a. increases
b. decreases
c. stays the same
d. changes, but may increase or decrease