You are throwing for a three pointer. The ball leaves your hand with a velocity of 9.4 m/s at an angle of 60 degrees with the horizon. You score from a horizontal distance of 7 m. The height of the basket is 3.5 m. (Ignore air-resistance)

a) Draw a free body diagram of the ball.

b) Find the position and velocity of the ball as a function of time

c) At what height was the ball released?

d) What is the velocity in the vertical direction as the ball hits the goal?

1. If a circuit consists of a battery connected to multiple resistors, and these resistors are connected in series, what MUST be the same across each resistor?

   	A.	Voltage
   	B.	Current
   	C.	Resistance
   	D.	Power
   	E.	None of the above

QUESTION 2

1. If a circuit consists of a battery connected to multiple resistors, and these resistors are connected in parallel, what MUST be the same across each resistor?

   	A.	Voltage
   	B.	Current
   	C.	Resistance
   	D.	Power
   	E.	None of the above

QUESTION 3

1. What will happen to a circuit whenever you add more resistors into it?

   	A.	The total current in the circuit increases
   	B.	The total current in the circuit decreases
   	C.	The total power of the circuit increases
   	D.	The total power of the circuit decreases
   	E.	It depends on how the resistors are connected

QUESTION 4

1. The "north pole" of a magnet is defined as the part of the magnet that is attracted to what?

   	A.	The north pole of another magnet
   	B.	The south pole of another magnet
   	C.	The Arctic region of the Earth
   	D.	The Anarctic region of the Earth
   	E.	The equator of the Earth

QUESTION 5

1. A magnetic field will appear whenever what is true?

   	A.	Whenever there is a charged object nearby
   	B.	Whenever there is a moving object nearby
   	C.	Whenever there is a massive object nearby
   	D.	Whenever there is a charged AND moving object nearby
   	E.	Whenever there is a piece of rion nearby

QUESTION 6

1. The power provided by the voltage source in a simple circuit MUST equal the total power of all the resistors in the circuit.

   True

   False

QUESTION 7

1. Iron is the only substance that can act as a ferromagnet.

   True

   False

QUESTION 8

1. Electromagents are generally more powerful than permanent magnets.

   True

   False

QUESTION 9

1. As long as a substance is an electrical conductor, it can also be easily made into a permanent magnet.

   True

   False

QUESTION 10

1. An object can have a single type of net charge (positive or negative), but never a single magnetic pole (north or south).

   True

   False

Please answer these three questions
(1)
In what ways are the photons emitted during stimulated emission related to the incident (stimulating) photons?
(2)
What conditions must a collection of atoms meet in order to amplify an incident beam of light?
(3)
Very briefly describe how these requirements are met in a helium

squid are the fastest swimmers among invertebrates. A cavity within the squid is filled with water. the mantle, a powerful muscle squeezes the cavity and expels the water through a narrow opening (the siphon) at high speed. using momentum conservation, explain how this propels the squid forward. How is the squids swimming mechanisms like a rocket engine?.

Consider the following seven types of electromagentic waves: visible light, microwaves, radio waves, gamma rays, infrared, uv and x-rays

a) place the waves in order from shortest wavelength to longest

b)place the waves in order fromm lowest frequency to highest

c) which waves travels with the highest velocity in a vacuum

Speculate about some worldwide changes likely to follow the advent of successful fusion reactors. Compare the advantages and disadvantages of electricity coming from a large central power station versus a network of many smaller solar-based stations owned and operated by individuals.

Will it be possible to find the initial velocity using Newton

A point charge +q is at the origin. A spherical Gaussian surface centered at the origin encloses +q. So does a cubical surface centered at the origin and with edges parallel to the axes. Select "True" or "False" for each statement below.

1. Suppose (for this statement only), that q is moved from the origin but is still within both the surfaces. The flux through both surfaces is changed.

2.If the radius of the spherical Gaussian Surface is varied, the flux through it also varies.

3. The area vector and the E-Field vector point in the same direction for all points on the spherical surface.

4. The E-Field at all points on the spherical surface is equal due to spherical symmetry.

5. The Electric Flux through the spherical surface is less than that through the cubical surface.

I tried :( F , T, F, T, F) but it is wrong, and I don't know which one is wrong.

A parallel-plate capacitor with circular plates and a capacitance of 10.3 μF is connected to a battery which provides a voltage of 11.2 V .

What is the charge on each plate?

How much charge would be on the plates if their separation were doubled while the capacitor remained connected to the battery?

How much charge would be on the plates if the capacitor were connected to the battery after the radius of each plate was doubled without changing their separation?

A particle moves along the x axis. It is initially at the position 0.200 m, moving with velocity 0.140 m/s and acceleration -0.410 m/s2. Suppose it moves with constant acceleration for 5.50 s.

We take the same particle and give it the same initial conditions as before. Instead of having a constant acceleration, it oscillates in simple harmonic motion for 5.50 s around the equilibrium position x = 0. Hint: the following problems are very sensitive to rounding, and you should keep all digits in your calculator.

a) Find the angular frequency of the oscillation. Hint: in SHM, a is proportional to x.

b) Find the amplitude of the oscillation. Hint: use conservation of energy.

c) Find its phase constant ϕ0 if cosine is used for the equation of motion. Hint: when taking the inverse of a trig function, there are always two angles but your calculator will tell you only one and you must decide which of the two angles you need.

d) Find its position after it oscillates for 5.50 s.

e) Find its velocity at the end of this 5.50 s time interval.

In this chapter we are looking at the differential equations that govern RC circuits. For a capacitor that is discharging, we know that going around the circuit the voltage should sum to zero:

Vc + Vr = 0.

Written in terms of charge and current, this is:

q/C = - i R.

Rewritten, q/C = -dq/dt R.

What this is telling us is that the current is being set by the charge on the capacitor. We can use a numerical approach to model this system. We know that dq/dt is a change in charge divided by a change in time:

Δq/Δt or (qf-qi)/Δt, where qi is the initial charge and qf is the final charge.

Treating q as qi, this allows us to state:

qi/C = -(qf-qi)/Δt.

Solving for qf, we get:

qf = qi – (qi/RC) Δt.

qf = qi (1 – Δt/RC).

In other words, at each small step in time, we subtract off a value proportional to the current charge.

We can model this behavior in a spreadsheet. We’ll use some tricks to help us out. In the top of the spreadsheet we’ll define four quantities: Δt, R, C and qi. This gives us details of the circuit and also the change in time. I put in some sample values, feel free to change them in order to experiment with how circuits work.

We then set up three columns. The first is a time column, the second is qi and the third is qf. Let’s look at first row. Time initial is zero, charge initial is set by the variables at the top of the chart and qf is done by formula, it is qi multiplied by (1–Δt/RC). Note that these values use absolute relationships, eg. $B$2, so if the formula gets copied, then it always refers back to the values at the top of the chart.

The next line down is really the key to the whole affair. The time column is the time from the line above, plus the delta t. The qi is the qf from the previous line, and the qf is calculated from the qi on this line. Note that since so many of the entries are in reference to the previous line, we can simply copy this expression to the line below to now have a three-step process. In fact, we can do this repeatedly (I did it 500 times) to watch how q changes from step-to-step in time. I graphed the q(t) behavior, and you can see it is an exponential, just as predicted by theory.

For this week’s homework, add a battery to this circuit and make a new spreadsheet that corresponds to charging up an empty capacitor. Your spreadsheet should include the appropriate graph. Note that for things like RC circuits, it is usually simpler to just solve the differential equation. For more complex problems, scientists and engineers will often use numerical methods rather than directly tackle hard math problems.

1. Polarizing sunglasses: (i) What direction are they polarized? (sketch), (ii) Why is 50% of sunlight removed? (iii) Why is horizontal glare screened out but not vertical glare? (second sketch)

light from a discharge tube containing a particular gas illuminates a diffraction grating and is observed on a screen 75.0cm behind the grating. The emission at wavelength 621nm creates a first-order bright fringe 38.0 cm from the central maximum. What is the wavelength of the bright fringe that is 47.3cm from the central maximum?

Projectile Motion - (Time) Above Ground - General Launch Angle

At a height h = unknown above the ground a rocket is fired at an initial speed v0 = 142.0 m/s at an angle θ = 42° above the horizontal. After a time = 25.2 s the rocket hits the ground. Ignore air resistance.

The magnitude of the gravitational acceleration is 9.8 m/s2.

Choose the RIGHT as positive x-direction. Choose UPWARD as psotitive y-direction

Keep 2 decimal places in all answers

Find v0x, the x component of the initial velocity (in m/s)

Find v0y, the y component of the initial velocity (in m/s)

(a) What maximum height (in meters) above the intial location does the rocket reach?

(b) How long (in seconds) does it take the rocket to reach the maximum heght?

(c) What is the range R (the horizontal distance) (in meters) traveled by the rocket before hitting the ground?

What is the rocket's initial height h (in meters) above the ground? Report h as positive.

(d) What is the vertical component of the velocity (in m/s) just before the rocket hits the ground? Pay attention to the direction (the sign).

(e) What is the magnitude of the velocity (including both the horizontal and vertical components) (in m/s) of the rocket just before it hits the ground?

(f) What is the direction of the velocity of the rocket just before it hits the ground?

Report the direction by an angle COUNTERCLOCKWISE from the +x axis.