Jupiter is at an average distance from the Sun of 778,000,000 kilometers. It has a radius of 71,492 kilometers and a mass of 1.898 x 1027 kilograms. The Sun has a mass of 1.989 x 1030 kilograms. Answer the following:

*What is the acceleration due to gravity on Jupiter?

*How long does it take to revolve around the Sun in Earth-years?

*How fast is it moving in its orbit around the Sun?

*What is the magnitude of the force of gravity between Jupiter and the Sun?

A 712 N student stands in the middle of a frozen pond having a radius of 5.9 m. He is unable to get to the other side because of a lack of friction between his shoes and the ice. To overcome this difficulty, he throws his 2.2 kg physics textbook horizontally towards the north shore at a speed of 6.0 m/s. How long does it take him to reach the south shore?

with regards to the Frank-Hertz experiment, How would increasing the temperature affect a graph of current vs accelerating voltage? Would there be a higher or lower background current? Sharper or less sharp peaks?

instinctually I want to say the increased temperature would lead to increased electron emissions and thereby current in the graph but im not sure what it would do to the peaks, im thinking it will make the slopes more gradual as there are more electrons and chances for them to make it through but I could also see that it would increase the chances of collisions and make the slopes sharper. either way could use some help.

A gamma ray of exactly 1.022 MeV produces an e⁺ and e^-. The e⁺ and e^- have zero momentum.

a) What is the momentum of the gamma ray?

b) Where does the momentum go to keep conservation of momentum.

In our experiment we used a block with different materials on its sides. One side was wood, the other was felt, the last was cork. We then used attached a string to the block and put that over a levey. At the end of it was a hanging mass. The mass of the block mentioned in the questions below is in reference to the mass of the block on the horizontal surface (not the hanging mass) Please answer the questions conceptually. If you feel the need to mark this question as "needs more information" then please do not attempt to answer this question. I appreciate the help.

1. How does the coefficient of kinetic friction vary with the mass of the block? Please explain the "why" behind these answers. I heard that number 1 has no change in kinetic friction, but why? I thought that as the mass of the block increased, the change in acceleration would cause a change in friction? Please explain in detail.

2. How does the coefficient of static friction compare to the coefficient of kinetic friction for the same surface material. (woode felt, and cork). For 2, why is one greater than the other? Is it according to some law or theory? Please explain why.]

(a) How is self-inductance defined and what physical principle allows us to define it ?

(b) In discussing LRC circuits we found that comparison with simple oscillating mechanical systems such as a mass on a spring with friction was very useful. Using this analogy, what are the mechanical equivalents of: charge, current, inductance, capacitance, and magnetic flux ?

(c) Derive from basic principles the self-inductance of a solenoid having cross sectional area A, length L and N windings.

Marty and Jennifer's twin granddaughters, Emma and Clara, are preternaturally talented at riding hoverboards. One fine day, the young twins, each riding her own hoverboard, are cruising across the hoverpark arm-in-arm. The mass of each twin is 27.50  kg kg (the mass of each skater includes the mass of her hoverboard). Suddenly, Clara spots an obstacle ahead; to save them both from collision with the obstacle, she gives Emma a two-handed horizontal push. As a result, Emma ends up traveling at 2.50  m/s m/s , due North, and Clara end up traveling at 5.10  m/s m/s , 31.0  degrees degrees North of East.

Part A) What was the original speed of Emma and Clara when they were traveling arm-in-arm?

Part B) In what direction were Emma and Clara originally traveling?

Give your answer as an angle in degrees measured CCW from due East (when looking Down); the size of the angle should be less than 180 degrees. If the angle would be larger than 180 degrees, instead measure CW from due East and give your answer as a negative angle.

Part C) How much kinetic energy was added to the Emma-Clara system by Clara's push?

A 60.0 kg skier is moving at 6.15 m/s on a frictionless, horizontal snow-covered plateau when she encounters a rough patch 3.95 m long. The coefficient of kinetic friction between this patch and her skis is 0.330. After crossing the rough patch and returning to friction-free snow, she skis down an icy, frictionless hill 2.95 m high.

How fast is the skier moving when she gets to the bottom of the hill?

How much internal energy was generated in crossing the rough patch?

For each situation below determine the direction of the induced current in the loop (if there is one).

(a) A square loop is moving at a constant velocity to the right through a uniform magnetic fieldthat is directed into the page and which extends out of the picture to the left and right. In which direction is the induced current in the loop?

[ ] clockwise [ ] counter-clockwise [ ] there is no induced current Justify your answer (with words, pictures, or both):

(b) A circular loop is at rest in a magnetic field directed into the page. The magnetic field is increasing in magnitude. In which direction is the induced current in the loop?

[ ] clockwise [ ] counter-clockwise [ ] there is no induced current Justify your answer (with words, pictures, or both):

(c) A piece of wire is wrapped into a loop and placed in a uniform magnetic field that is directed into the page. You then pull on the ends of the wire so the area of the loop is decreasing. In which direction is the induced current in the loop?

[ ] clockwise [ ] counter-clockwise [ ] there is no induced current Justify your answer (with words, pictures, or both):

(d) A bar magnet is held near the center of a wire loop. The magnet is then pulled away from the loop. The north pole is always closest to the loop. In which direction is the induced current in the loop? (The direction as seen by the north pole of the magnet.)

[ ] clockwise [ ] counter-clockwise [ ] there is no induced current Justify your answer (with words, pictures, or both):

A 300kg roller coaster at an amusement park is at rest on top of a 30m hill (Point A). The car starts to roll down the hill and reaches point B, which is 10m above the ground, and then rolls up the track to point C, which is 20m above the ground.

a) Assuming no energy is lost and using energy arguments, how fast is the cart moving at point C?

b) What is the total mechanical energy of the roller coaster at point B (Use the ground as the locaiton where potential energy=0)

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If the final speed at point C is actually measured to be 12 m/s,

a) How much energy is lost?

b) Where did this energy go?

Use proper calculus. (a) A conical shell has mass M, height h, and base radius R, Assume it is made from thin sheet of uniform thickness, Derive its center of mass and moment of inertia about its symmetry axis. (b) Derive the formula for the center of mass and the moment of inertia of a solid sphere, and then that of the moment of inertia about an axis tangent to the surface. (c) Derive the formula for the moment of inertia of a thin shell (hollow sphere).

2. A block with mass M1 rests on a frictionless table. It is connected by a massless string to a block with mass M2, which hangs below the edge of the table. The system is released from rest at time t = 0. Find the distance block M1 moves in time t. You may assume that the string passes over a massless, frictionless pulley at the edge of the table to assist your calculations.

An ideal monatomic gas is contained in a vessel of constant volume 0.350 m³. The initial temperature and pressure of the gas are 300 K and 5.00 atm, respectively. The goal of this problem is to find the temperature and pressure of the gas after 29.0 kJ of thermal energy is supplied to the gas.

(a) Use the ideal gas law and initial conditions to calculate the number of moles of gas in the vessel. in mol

(b) Find the specific heat of the gas. in J/K

(c) What is the work done by the gas during this process? kJ

(d) Use the first law of thermodynamics to find the change in internal energy of the gas. in kJ

(e) Find the change in temperature of the gas. in K

(f) Calculate the final temperature of the gas.in K

(g) Use the ideal gas expression to find the final pressure of the gas.