Two satellites are in circular orbits around the earth. The orbit for satellite A is at a height of 458 km above the earth’s surface, while that for satellite B is at a height of 732 km. Find the orbital speed for (a) satellite A and (b) satellite B.

Briefly summarize Immanuel Kant's view of how the Solar System formed.

How does this viewpoint reflect Kant's overall view of science and what are some of the restrictions that Kant places on the scientific process.?

No plagiarism.

Problem 2. In diffraction experiments involving multiple wavelengths of light passing through the same aperture, the higher order maxima of one wavelength can coincide with a lower order maxima of a longer wavelength. In the above diffraction experiment, the 3rd maxima of 600 nm light is found to coincide with the 4th maxima of a different wavelength of light. What is the other wavelength?

An object with total mass mtotal = 14.9 kg is sitting at rest when it explodes into three pieces. One piece with mass m1 = 4.8 kg moves up and to the left at an angle of θ1 = 23° above the –x axis with a speed of v1 = 27.9 m/s. A second piece with mass m2 = 5.1 kg moves down and to the right an angle of θ2 = 28° to the right of the -y axis at a speed of v2 = 20.9 m/s.

m3=5KG

What is the x-component of the velocity of the third piece?

What is the y-component of the velocity of the third piece?

Calculate the increase in kinetic energy of the pieces during the explosion.

Visible light passes through a diffraction grating that has 900 slits per centimeter, and the interference pattern is observed on a screen that is 2.80m from the grating. In the first-order spectrum, maxima for two different wavelengths are separated on the screen by 3.10mm . What is the difference between these wavelengths? in meters

Q1-Assume momentum is conserved in this case.

A cart of mass 0.509kg is moving on a friction balanced track with a speed 0.43m/s. It then collides with another cart of mass 0.546kg that is at rest, and become stuck with it. What is the speed in (m/s) after collision?

Assume momentum is conserved in this case.

Q2-Cart A of mass 0.749kg is moving on a friction balanced track with a speed 0.476m/s. It then collides with cart B of unknown mass which is at rest. After collision, the two carts are stuck together with a speed 0.272m/s. What is the mass of cart B (in unit of kg)?

Q3-Assume momentum is conserved in this case.

Cart A of mass 0.929kg is moving on a friction balanced track with a speed 0.44m/s. It then collides with cart B of mass 0.433kg which is at rest. After collision, cart A's speed slows down to 0.129m/s. What is the speed of cart B in (m/s) after collision?

Q4-

Assume momentum is conserved in this case.

Cart A of unknown mass is moving on a friction balanced track with a speed 0.427m/s. It then collides with cart B of mass 0.407kg which is at rest, becoming stuck together with a speed 0.193m/s. What is the mass of cart A in (kg) after collision?

A block of mass m2 = 15 kg on a rough 30°-inclined plane is connected to a 5-kg mass (m1) by a string of negligible mass passing over a pulley that is shaped like a disk. The 2-kg pulley has radius 15 cm and rotates about its symmetry axis of rotation. The string does not slip on the pulley and causes the pulley to rotate about a fixed horizontal axle through its center of mass. When this system is released from rest, the block (m2) moves at a uniform linear acceleration. The coefficient of kinetic friction between the 15-kg block and the incline surface is 0.10. (a) Find the linear acceleration of the system. (b) Calculate the tension T1, in the string supporting m1, and tension T2, in the string that supports m2. (c) Use energy methods to find the speed of the blocks when the 5-kg block has moved through a vertical displacement of 3 m from rest. (a) [a = 0.56 m/s2]; (b) [T1 = 52.4 N; T2 = 51.8 N]; (c) [v = 1.83 m/s]

A 15 g bullet is fired at 650 m/s into a 4.7 kg block that sits at the edge of a 80-cm-high table. The bullet embeds itself in the block and carries it off the table. How far from the point directly below the table's edge does the block land?

we examined the concept of friction and how it affects everything we do. Air resistance is an important type of friction that you don’t want to forget about as you prepare your post. Consider what the world would be like without friction. For example, in a world without friction, the pitcher in a baseball game can still pitch the ball because he can push off the pitching rubber. The pitching rubber is the rubber slab atop the pitching mound that a pitcher uses to push off to gain velocity. But what happens when the batter swings or when the ball hits the catcher’s mitt?

Now, think of one of your favorite sports or another activity you enjoy. How would the action of that activity be different in a world without friction? In your initial post to the discussion, describe your activity and then respond to the following:

1. Describe at least three ways your activity would change if friction were taken out of the scenario.
2. Does friction make it easier or harder to participate in your activity?
3. What are some advantages and disadvantages that you might encounter if there wasn’t friction in our world?

We often think about two-dimensional motion in terms of a projectile, like someone throwing a ball up in the air. Consider, instead, the surface of an air-hockey table, where the puck travels horizontally from one end of the table to the other. Imagine you’re standing at one end of the table and answer the following questions in your initial post to the discussion.

1. Describe the shape of the puck’s path, starting from the end of the table where you’re standing, as it undergoes the following types of motion:
a. acceleration in the x-direction
b. acceleration in the y-direction
c. constant velocity in the x-direction with acceleration in the negative y-direction

2. What must be true of x-velocity and y-velocity for the puck to travel at a 45-degree angle?

3. How can you make the angle steeper or shallower?

4. Can the puck follow a straight path if it’s accelerating in one or both directions? Choose your own orientation for the coordinate system.

Q1:  Find the final angular velocity if a grinding wheel starts from rest and accelerates at 2 rad/s^2.

Q2:  If the grinding wheel has a mass of 60kg:

a) Find its rotational inertia.

b) Find the torque that produces the acceleration.

c) Find angular momentum at the instant it has rotated for 8s.

I am pretty much lost. Any help will be greatly appreciated.

M1 has a mass of 6.330 kg. It is on a horizontal surface connected by a massless string to a hook where M2 can be increased smoothly. The pulley has a negligible mass & no friction. When M2= 3.266 kg it begins to accelerate downward at a rate of 2.110 m/s2. Calculate u_s - u_k between M1 and the surface.

What is the total power output of our Sun (i.e. the energy output per second)? (a) Assume all of power is released from nuclear reactions, how much mass is the Sun currently losing every second? (b) how many years would it take for the sun to lose 1% of its total mass, if it keeps losing mass at the current rate?

2. A 50 gram steel ball hangs from a 15 cm long string. The ball is brought back to an angle of 15 degrees from vertical at the bottom of the swing it contacts and bounces off the 25 gram ball on a 15cm string. Find the angle of both balls.

There is a typical elliptical galaxy that has a velocity dispersion that is high.

a. relatively, what's its stellar mass?

b. Compared this galaxy to a galaxy with a lower velocity dispersion but the same half light radius. How does the surface brightness of this high σ galaxy differ?