A two dimensional transverse water waves spread in circular ripples a) show that the amplitude at distance r from the intial disturbance is proportional to sqrt of r b) the intensity of the above wave at distant r=2m is 10^-4 W. what is the intensity at 4m distance?

How are radio waves created? And how do they reflect and absorbed?

The drawing shows a collision between two pucks on an air-hockey table. Puck A has a mass of 0.0240 kg and is moving along the x axis with a velocity of +6.27 m/s. It makes a collision with puck B, which has a mass of 0.0480 kg and is initially at rest. The collision is not head-on. After the collision, the two pucks fly apart with the angles shown in the drawing. Find the speed of (a) puck A and (b) puck B. angles: a=65, b=37

An archer shoots an arrow at an angle 20◦ above the horizontal. How far from the archer does the arrow hit the ground if it is shot with a speed of 50 m/s from 1.75m above ground? Hint: Start with setting up your xy coordinates system appropriately.

Extra Practice: An archer standing on a 15◦ slope shoots an arrow 20◦ above the horizontal. How far down the slope does the arrow hit if it is shot with a speed of 50 m/s from 1.75m above ground?

An ancient club is found that contains 189g of carbon and has an activity of 6.66 decays per second. Determine its age in years (do not enter units) assuming that in living trees the ratio of ¹⁴C/¹²C atoms is 1.30×10^-12.

A satellite in a circular orbit around the earth with a radius 1.011 times the mean radius of the earth is hit by an incoming meteorite. A large fragment (m = 75.0 kg) is ejected in the backwards direction so that it is stationary with respect to the earth and falls directly to the ground. Its speed just before it hits the ground is 359.0 m/s.

Find the total work done by gravity on the satellite fragment. R_E 6.37

(Relativity) Draw the world line of a particle moving in the XY plane:

a) Describing a circle with constant speed V

b) Accelerating from the rest until reaching certain speed V

Draw diagrams and explain how an emf is produced in a square wire loop if a uniform magnetic field is coming straight up from the floor, the square loop starts parallel to the floor, then the side closest to you rotates downward, stops, then upward.

A NASA satellite has just observed an asteroid that is on a collision course with the Earth. The asteroid has an estimated mass, based on its size, of 5 x 10^9 kg. It is approaching the Earth on a head-on course with a velocity of 660m/s relative to the Earth and is now 6.0 x 10^6 km away.

With what speed will it hit the Earth's surface, neglecting friction with the atmosphere?

round to two significant figures.

A stone is dropped from rest into a well. The sound of the splash is heard exactly 1.60 s later. Find the depth of the well if the air temperature is 12.0°C. in m

A train has a mass of 4.82E+6 kg and is moving at 69.9 km/hr. The engineer applies the brakes, which results in a net backward force of 1.91E+6 N on the train. The brakes are held on for 28.2 s. What is the new speed of the train?

How far does it travel during this period?

To become familiar with using the image of one instrument as the object of the next and tracing rays through a system of multiple instruments.

Multiple optics refers to any system of more than one optical instrument through which light passes. Most devices related to optics, such as cameras, microscopes, and telescopes, contain multiple optics systems.

In multiple optics, the image of one optical instrument becomes the object of the next one. Thus, in multiple optics problems, you need to find the image created by the first optical instrument that the rays encounter. Then, you will use that image as the object of the next optical instrument, repeating this pattern until you have followed the rays all the way through the system. It is very important to be alert to the geometry and to signs when you find the object distance for one instrument from the location of the previous instrument's image. Sometimes, the image is formed on the virtual side of the instrument, leading to a virtual object. This may sound strange, but in practice, its effect on your calculations is simply to make the object distance negative instead of positive.

Several optical instruments are placed along the x axis, with their axes aligned along the x axis. A plane mirror is located at x=0. A converging lens with focal length 5.00 m is located at x=12.5m. An object is placed at x=22.5m.

Part A: First, find the location of the image created by the lens by itself (as if no other instruments were present).

ANSWER

Part B: Next, find the location of the image created by the plane mirror (after the light has passed through the lens).

ANSWER

Part C: What is the location of the final image, as seen by an observer looking toward the mirror, through the lens? Keep in mind that the light must pass back through the lens, and thus you must do one more calculation with the thin lens equation.

ANSWER

Part D: First, find the magnitude mlens1 of the magnification of the image created when light from the object passes through the lens the first time (as if the mirror were not present).

ANSWER

Part E: Next, find the magnitude mmirror of the magnification of the plane mirror.

ANSWER

Part F: Now find the magnitude mlens2 of the magnification of the image created when light from the object passes through the lens the second time (after reflecting off the mirror).

Part G: What is the magnitude of the magnification of the final image?

Find the magnitude of the vector sum r of the vector displacements c and d whose components in meters along three perpendicular directions are cx= 7.8, cy= -3.8, cz= -6.4; dx= 4.7, dy= -2.1, dz= 3.7;

A block of mass ?=2.00 kg slides along a horizontal table with velocity ?0=3.50 m/s . At ?=0 , it hits a spring with spring constant ?=42.00 N/m and it also begins to experience a friction force. The coefficient of friction is given by ?=0.300 . How far has the spring compressed by the time the block first momentarily comes to rest? Assume the positive direction is to the right.