Two identical probes are sent along the same path toward a neutron star. A neutron star is very dense, packing as much as 2 solar masses2 solar masses into a sphere with a radius on the order of 10 km. At the moment shown, the two probes are d=55.3 kmd=55.3 km and D=178 kmD=178 km away from the center of the neutron star, respectively.

Find the distance between the center of mass of the two probe system and its center of gravity.

ESSAY QUESTIONS 8 Define the concepts of energy, work and power and explain how they are related. Provide an example of a conceptual physics problem that might involve all three factors.

Consider three identical metal spheres, A, B, and C. Sphere A carries a charge of +9q. Sphere B carries a charge of -q. Sphere C carries no net charge. Spheres A and B are touched together and then separated. Sphere C is then touched to sphere A and separated from it. Lastly, sphere C is touched to sphere B and separated from it. (a) What is the ratio of the final charge on sphere C to q? What is the ratio of the final total charge on the three spheres to q (b) before they are allowed to touch each other and (c) after they have touched?

Two football players collided on the field, and both went flying backwards. Energy was transferred from each player to the other, sending them in the opposite direction from which they had been running.

tell whether elastic or inelastic?

explain how energy was conserved/not conserved

describe all forms of energy incolved and how energy was transferred between them

describe the work done on the sytem, including its sign and source

Two capacitors C₁ = 5.1 ?F, C₂ = 19.8 ?F are charged individually to V₁ = 14.9 V, V₂ = 3.4 V. The two capacitors are then connected together in parallel with the positive plates together and the negative plates together.

Calculate the final potential difference across the plates of the capacitors once they are connected.

C) By how much (absolute value) is the total stored energy reduced when the two capacitors are connected?

Part a is 5.76V

Part b is 4.66E-5 C

Please help me with part c! In J please

Please answer in detail the discussions questions below.

1. Why do optical fibers have a minimum bend radius? What might happen if this minimum bend radius is exceeded?

2. Find or create your own application for the color dependence of the index of refraction. Your example need not be fully developed, but it should (1) address some task, and (2) be clear about the application of the color dependence to the task.

.How does the velocity of air moving over the top of the wing of an airplane in flight compare to the velocity of air moving under the wing. explain the answer using Bernoulli's principle.

A woman is riding a Jet Ski at a speed of 30 m/s and notices a seawall straight ahead. The farthest she can lean the craft in order to make a turn is 23

Tarzan has foolishly gotten himself into another scrape with the animals and must be rescued once again by Jane. The 60.0 kg Jane starts from rest at a height of 5.50 m in the trees and swings down to the ground using a thin, but very rigid, 32.0 kg vine 8.50 m long. She arrives just in time to snatch the 72.0 kg Tarzan from the jaws of an angry hippopotamus. What is Jane's (and the vine's) angular speedHow high will Tarzan and Jane go on their first swing after this daring rescue?

A 25 g glass tumbler contains 200 mL of water at 24°C. If two 15 g ice cubes each at a temperature of -3°C are dropped into the tumbler, what is the final temperature of the drink? Neglect thermal conduction between the tumbler and the room. 1°C

A resistor with 830? is connected to the plates of a charged capacitor with capacitance 4.60?F . Just before the connection is made, the charge on the capacitor is 7.00mC

Part A

What is the energy initially stored in the capacitor?

Part B

What is the electrical power dissipated in the resistor just after the connection is made?

Part C

What is the electrical power dissipated in the resistor at the instant when the energy stored in the capacitor has decreased to half the value calculated in part A?

The temperature of 2.00 mol of an ideal monatomic gas is raised 15.0 K at constant volume. What are (a) the work W done by the gas, (b) the energy transferred as heat Q , (c) the change ?E_int in the internal energy of the gas, and (d) the change ?K in the average kinetic energy per atom

A crate is given a push such that it has an initial speed of 5.2 m/s headed up a 15 degree incline. If the crate travels 3.5m up the incline before reversing direction, what is the coefficient of kinetic friction between the crate and the incline?

A motor cycle stuntman drives off a cliff at 80 mi/hr and hits the safety net 2.9 s later. How high was the cliff and how far is the net from the base of the cliff?

A rock is thrown horizontally from the 2nd floor building and it lands 7.5 m from the base of the building. Assume the initial height of the rock is 5.5 m. What is the initial speed of the rock?

A 35.0-g object connected to a spring with a force constant of 40.0 N/m oscillates with an amplitude of 6.00 cm on a frictionless, horizontal surface.

(a) Find the total energy of the system.
mJ

(b) Find the speed of the object when its position is 1.15 cm. (Let 0 cm be the position of equilibrium.)
m/s

(c) Find the kinetic energy when its position is 2.50 cm.
mJ

(d) Find the potential energy when its position is 2.50 cm.
mJ