Two ice skaters, with masses of 50.0 kg and 65.0 kg , are at the center of a 30.0 m -diameter circular rink. The skaters push off against each other and glide to opposite edges of the rink.

If the heavier skater reaches the edge in 10.0 s , how long does the lighter skater take to reach the edge?

Find the heat capacity of a block of unknown material. You will immerse the block, with its temperature known, into a known quantity of water, which is at a very different temperature than the block. After they reach equilibrium, they will be at the same final temperature. From the change of temperature of both, calculate the block's heat capacity.

NOTE: You can heat up or cool the block using hot water or ice water

HOW WILL I DO THIS ? ?? ? ? explain please physics wizards of chegg

• How is Bernoulli’s Principle equivalent to the Work Energy Theorem and the Conservation of Energy Principle?

A sound source A and a reflecting surface B move directly toward each other. Relative to the air, the speed of source A is 29.7 m/s, the speed of surface B is 63.5 m/s, and the speed of sound is 330 m/s. The source emits waves at frequency 1350 Hz as measured in the source frame. In the reflector frame, what are (a) the frequency and (b) the wavelength of the arriving sound waves? In the source frame, what are (c) the frequency and (d) the wavelength of the sound waves reflected back to the source?

Near Earth Objects (NEOs) is anything in space that comes too close to Earth (within 1.3 AU) and is sufficiently large. Describe two challenges astronomers face in finding NEOs.

Additionally, scientist distinguish between potentially hazardous objects (140m or larger) and hazardous objects (larger than 1km). What would happen to Earth if an object greater than 1km collided with the planet?

What would happen to Earth if a potentially hazardous object collided with the planet?

What is kinetic energy and how does it relate to the Boltzmann distribution?

1. (a) Find the charge stored on each capacitor in Figure 18.24 (C₁ = 30.0 µF, C₂ = 4.50 µF) when a 1.51 V battery is connected to the combination.
C₁
___C?
C₂
___C?
0.300 µF capacitor
___C?

(b) What energy is stored in each capactitor?
C₁
___J?
C₂
___ J?
0.300 µF capacitor
____J ?

2.(a) What voltage must be applied to the 10.0 µF capacitor of a heart defibrillator to store 450 J in it?
____ kV ?
(b) Find the amount of stored charge.
___ C ?

A hydraulic jack is designed to lift a car by exerting an output force 100 times as large as the input (see class notes). (a) What must be the ratio of the cylinder diameter on the output side to that on the input side? (b) If the input side is pushed down by 10 cm, how much does the output side move up? (The fluid volume lost on the input side is gained on the output side.) (c) Show that the work we do on the input side equals the work done on the car on the output side (as it must), assuming no frictional losses.

A 0.042 kg aluminum bullet traveling at 456 m/s strikes an armor plate and comes to a stop. If all its energy is converted to heat that is absorbed by the bullet, what is the bullet's temperature change in degrees Celsius? (This is a multi-step problem.)

1a. An unidentified flying object (UFO) is observed to travel a total distance of 46000 m, starting and ending at rest, over a duration of 1.57 s. Assuming the UFO accelerated at a constant rate to the midpoint of its journey and then decelerated at a constant rate the rest of the way, what was the magnitude of its acceleration? Express your answer in g s , where 1 g = 9.81 m/s^2.

b. A Ford passes a Toyota on the road (both vehicles are traveling in the same direction). The Ford moves at a constant speed of 45.3 m/s. Just as the Ford passes it, the Toyota is traveling at 16.0 m/s. As soon as the Ford passes the Toyota, the Toyota begins to accelerate forward at a constant rate. Meanwhile the Ford just keeps going at a steady [] m/s to the east. The Toyota catches up to the Ford a distance of 89.0 m ahead of where the Ford first passed it. What was the magnitude of the Toyota s acceleration?

c. Driving down the road at a speed of 33.7 m/s, you suddenly notice a fallen tree blocking the road a distance of 85.1 m ahead of you. You step on the brake pedal and decelerate at a constant rate. What must the magnitude of your acceleration be so that you will come to a stop 5.4 m in front of the tree?

2 Pascal’s Principle
An Olympic swimming pool is 50 m long, 25 m wide, and 2 m deep.
(a) Make a plot of pressure as a function of depth in the pool, for 0 ≤ y ≤ 2 m.
(b) What is the pressure on the bottom of the pool?
(c) What is the total force on the bottom of the pool — the 25 m × 50 m surface?
(d) What is the total force on one end of the pool — one of the 25 m × 2 m surfaces?
(e) What is the total force on one side of the pool — one of the 50 m × 2 m surfaces?

The electron gun in a television tube uses a uniform electric field to accelerate electrons from rest to 4.7×10⁷ m/s in a distance of 1.3 cm .

What is the electric field strength?

The Second Edition of the Oxford English Dictionary is currently available as a 20-volume print edition and costs $895. Imagine that the publishers would like to distribute a lower-cost version of the dictionary that still contains all of the same words, but in a smaller number of volumes. To accomplish this, they decide to reduce the font size to 1/3 of the original font size and include a simple biconvex single-lens magnifier with the new reduced-volume set. (a) Fully specify a design for the required single lens magnifier. (b) If the publishers had wanted to severely reduce the font size to 1/15 of the original size, could they still supply a single-lens magnifier for the customers to use? Specify a design for such a magnifier and identify any physical and/or optical performance limitations that arise. What is the maximum diameter possible for this magnifying lens?

A satellite is in an elliptical orbit around the earth. The distance from the satellite to the center of the earth ranges from 7.2 Mm at perigee (where the speed is 8.0 km/s) to 9.9 Mm at apogee.

1. Assume the initial conditions are x = 0, y = 7.2 × 106 m, vx = 8.0×103 m/s, and vy = 0. Use python program to print its speed, distance from the earth, kinetic energy, potential energy, and total mechanical energy for each iteration. (What equations should I put in to the program?)

2. Is mechanical energy conserved?

ANSWER THE FOLLOWING QUESTION AND DRAW DIAGRAM FOR EACH PART OF QUESTION

Q1(A).Two point charges are located on the x axis. The first is a charge +Q at x = a. The second is an unknown charge located at x = -3a. The net electric field these charges produce at the origin has a magnitude of 2keQ/a2. What are the two possible values of the unknown charge?

Q1(B)In Fig. 3, particle 1 of charge +1 μC and particle 2 of charge -3.0 μC are held at
separation L =10.0 cm on an x axis. If particle 3 of unknown charge q3 is to be located such that the net
electrostatic force on it from particles 1 and 2 is zero, what must be the (a) x and (b) y coordinates of
particle 3?

Q1(C)In Fig. 2, two identical, electrically isolated conducting spheres A and B are separated
by a (center-to-center) distance ‘a’ that is large compared to the spheres. Sphere A has a positive charge
of ∆Q, and sphere B is electrically neutral. Initially, there is no electrostatic force between the spheres.
(The large separation means there is no induced charge.)
(a) Suppose the spheres are connected for a moment by a conducting wire. The wire is
thin enough so that any net charge on it is negligible. What is the electrostatic force
between the spheres after the wire is removed?
(b) Suppose sphere A is grounded momentarily, and then the ground connection is
removed. What now is the electrostatic force between the spheres?

the question on its own don't have any figures please do make diagrams where necessary for better understanding of answers