In the absence of air resistance, a projectile that lands at the elevation from which it was launched achieves maximum range when launched at a 45?angle. Suppose a projectile of mass m is launched with speed v0 into a headwind that exerts a constant, horizontal retarding force F? wind=?Fwindi^.

By what percentage is the maximum range of a 0.900 kg ball reduced if Fwind =0.600 N ?

Express your answer with the appropriate units.

*Answer cannot be 7.25 %, 6.8%, or 9% nor 6.3%

A) Ball made of wood and ball made of aluminum, of the same radius are placed into reservoir with water. Aluminum ball after sinking rests at the bottom, wooden ball floats. Which ball experiences greater buoyancy force?

B) Water flows through a pipe with speed of 18 m/s. Pipe suddenly widens to 3 times of its initial diameter. The speed of water in broader part of a pipe is:

1)What is The charge on 6 alpha particles?

2) Suppose the charge q₂ in the figure can be moved left or right along the line connecting the charges q₁ and q₃. Given that q = +21

A 60.0 kgkg skier on level snow coasts 183 mm to a stop from a speed of 1.70 m/sm/s .

a)Use the work-energy principle to find the coefficient of kinetic friction between the skis and the snow.

b)Suppose a 72.0 kgkg skier with twice the starting speed coasted the same distance before stopping. Find the coefficient of kinetic friction between that skier's skis and the snow.

A linear quadrupole consists of charges q at z = a , z=-a and 2q at z = 0.

a) Show that the system is equivalent to two dipoles with dipole moment qa and -qa in the positions a/2 and -a/2.

b) Find the potential V(r, θ)

c) Draw the equipotential surfaces.

A point charge of -1.0

A magnetic field of 0.080 TT is in the y-direction. The velocity of wire segment SS has a magnitude of 78 m/sm/s and components of 18 m/sm/s in the x-direction, 24 m/sm/s in the y-direction, and 72 m/sm/s in the z-direction. The segment has length 0.50 mm and is parallel to the z-axis as it moves.

Part A

Find the motional emf induced between the ends of the segment.

Express your answer with the appropriate units.

Part B

What would the motional emf be if the wire segment was parallel to the y-axis?

Express your answer with the appropriate units.

Please answer the following two questions:

3) Two cylindrical copper wires with a radius of 39 cm are connected to a battery and then they are connected across an incandescent light bulb and the light bulb turns on and is some brightness. If you took the same battery and connected coppers two wires which were a factor of 6 times longer than the first two wires to the same lightbulb so that the lightbulb was the exact same brightness as the first wires (it's not dimmer or brighter), what must be the radius of the second wires in cm?

4) Electricity is actually a very cheap form of energy. Suppose the cost of energy is 17.5 cents/kwh. If all the electrical energy used in purchasing $1 of electricity were converted to potential energy of raising 30,000 kg truck, how high above the ground would the truck be raised in m?

1.The space shuttle is in a 300km -high circular orbit. It needs to reach a 640km -high circular orbit to catch the Hubble Space Telescope for repairs. The shuttle's mass is 8.00

There are two point charges. One has a charge q1 = 1nC and is located at the point (1;2). The other has a charge q2 = 10 nC and is located at the point (7;-6).

A) What is the magnitude and the direction of the Coulomb force acting on the charge q1?

B) Where should the third charge be located in order to have zero net force acting on each charge? What is its magnitude?

Two charges are set on the x-axis 15.5 cm away from each other. The charges are -7.70 nC and 20.4 nC. Calculate the electric potential at the point on the x-axis where the electric field due to these two charges is zero.

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