I want important notes and equations in chapter 8 physics 1
Related topics:

work done by constant forces

chapter 9:
1. kinetic energy

2. gravitational potential energy

chapter 10:

1. elastic potential energy

2. power

A concave mirror has a focal length of 32.2 cm. The distance between an object and its image is 54.7 cm. Find (a) the object and (b) image distances, assuming that the object lies beyond the center of curvature and (c) the object and (d) image distances, assuming that the object lies between the focal point and the mirror.

This question was prompted by another question about a paper by Woodward (not mine). IMO Mach's principle is very problematic (?wrong) thinking. Mach was obviously influenced by Leibniz. Empty space solutions in GR would result in a Minkowski metric and would suggest no inertia. Mach's principle seems incompatible with GR. Gravitational waves could also be a problem. I had thought that papers like one by Wolfgang Rindler had more or less marginalised the Mach Principle, but I see lots of Internet discussion of it. Is it correct? Wrong? Is there evidence? (frame dragging experiments)?

Let's use this definition from ScienceWorld.Wolfram.com:

In his book The Science of Mechanics (1893), Ernst Mach put forth the idea that it did not make sense to speak of the acceleration of a mass relative to absolute space. Rather, one would do better to speak of acceleration relative to the distant stars. What this implies is that the inertia of a body here is influenced by matter far distant.

A very long, straight wire carries a current of 14.1 A out of the screen. An electron outside the wire is 1.59 cm to the right of the central axis of the wire and is moving with a speed of 5.81×106 m/s. Find the magnitude of the magnetic force on the electron if it is moving directly away from the wire (i.e., rightward). First, find the magnetic field due to the current at the electron's location. Then, calculate the force on the electron.

Find the magnitude of the force on the electron if it is moving parallel to the wire in the direction of the current (i.e., out of the screen)

Would stirring a cup of tea show any sign of a two dimensional vector? This is my own question I am asking. My personal question.

A hungry 177177 kg lion running northward at 84.584.5 km/hr attacks and holds onto a 35.335.3 kg Thomson's gazelle running eastward at 60.660.6 km/hr. Find the final speed of the lion–gazelle system immediately after the attack.

final speed:

m/s

1) An electron has a kinetic energy that is 50% larger than its classical kinetic energy. Electron mass is 0.511 MeV/c^2.

a. What is the speed of the electron expressed in the unit of speed of light c?

b. What is the total energy of the electron expressed in the unit of MeV?

c. What is the kinetic energy of the electron expressed in the unit of MeV?

A block weighing 259 g slides along a frictionless track at a speed 6.1 cm/s. It then attaches to a spring-bumper with an electromagnetic device so that the block attaches to the bumper. The bumper has a mass of 130 g, and the spring has a stiffness of 1540 kg/s² and an equilibrium length of 10.6 cm. After the spring compresses and returns to its original length, the magnet turns off and the block launches off again, conserving energy.

(a) How fast is the block just after it attaches to the paddle?


(b) What is the maximum compression of the spring before the block turns around?


(b) How fast is the block moving after it launches off the paddle?

A charge of 4.85 mC is placed at each corner of a square 0.100 m on a side.

a. Determine the magnitude of the force on each charge. (N)

b. Determine the direction of the force on each charge. Assume that the positive x-axis is directed to the right. (degrees above x-direction)

Calculate the magnitude of the force between two point charges of +1.6×10^-19 C and -1.6×10^-19 C, for a range of distances, from r = 0.090 nm to r = 0.18 nm in 0.010 nm steps.

Plot the results on a graph of magnitude of force F versus distance r. You must label the graphs with axis labels including units, and a title. Also choose an appropriate scale of the graph to show the data.

Hint: use a spreadsheet, Logger Pro, or write some computer code to do this for you. You must try to do this type of problem on the computer, as writing this out by hand/doing repetitive calculations is just too time-consuming.

You have been hired to design a spring-launched roller coaster that will carry two passengers per car. The car goes up a 12-m-high hill, then descends 20m to the track's lowest point. You've determined that the spring can be compressed a maximum of 2.5m and that a loaded car will have a maximum mass of 450kg . For safety reasons, the spring constant should be 15% larger than the minimum needed for the car to just make it over the top.

A) What spring constant should you specify?

B) What is the maximum speed of a 360kg car if the spring is compressed the full amount?

Choose true or false for each statement regarding concave mirrors.
true false  A concave mirror produces an enlarged real image when the object is placed far beyond its focal point (Region 1).
true false  If an object is placed 4.1 cm from a concave mirror with f = 4 cm, then its image will be reduced and virtual.
true false  If an object is placed 7.9 cm from a concave mirror with f = 4 cm, then its image will be enlarged and real.

Choose true or false for each statement regarding convex mirrors.
true false  A convex mirror produces a reduced real image when the object is placed between the mirror and its focal point (Region 3).
true false  If an object is placed 7.9 cm from a convex mirror with f = 4 cm, then its image will be reduced and real.
true false  If an object is placed 3.9 cm from a convex mirror with f = 4 cm, then its image will be reduced and real.

Choose true or false for each statement regarding the sign conventions for mirrors.
true false  The focal length f is positive for convex mirrors.
true false  Virtual images appear behind a mirror and have a positive value for the image distance.
true false  The magnification m is negative for upright images.

A hot-air balloon is ascending at the rate of 13 m/s and is 73 m above the ground when a package is dropped over the side. (a) How long does the package take to reach the ground? (b) With what speed does it hit the ground?

1. The solution for the finite potential well is

   		a combination of sine and cosine functions
   		a combination of exponential functions
   		a combination of exponential functions and sine and/or cosine functions
   		a third degree polynomial