In the figure the four particles form a square of edge length a = 5.60 cm and have charges q₁ = 9.22 nC, q₂ = -21.8 nC, q₃ = 21.8 nC, and q₄ = -9.22 nC. What is the magnitude of the net electric field produced by the particles at the square's center?

How did Einstein’s photoelectric effect prove that light has a wave-particle duality?

Discuss three of the historical astronomers described in the text and lectures, together with their contributions to astronomy.

Answer each of the following questions in separate paragraphs. Be brief and to the point.

1. What are Milankovic cycles? (1 point)

2. List three astrophysical reasons that give rise to periodic climatic variations on Earth. (1.5 points)

3. What evidence do we have for past Milankovic cycle based climate change on Earth?

A ball is thrown straight up with a speed of 30 m/s. (a.) How long does it take the ball to reach the maximum height? (b.) What is the maximum height reached by the ball?(c.) What is its speed after 4.2 s?

*PLEASE Provide Worked Out Solutions (w/ decimal place rounding)*

Thanks everyone!

Two 50 ?? long, thin parallel straight wires (grey) are connected at their ends by metal springs. The mass of each thin wire is 1.0 ?. The upper wire is connected to the ceiling by (non-conducting) stiff rods. Each spring has an equilibrium length of 5.0 ?? and a spring constant of ? = 0.50 ?/?. A steady current ? runs clockwise through the wire-spring loop as indicated by the arrow. At equilibrium, the lower rod hangs at a level 6.0 ?? below the upper wire. Find the magnitude of the current. You may ignore the magnetic fields generated by the springs, and you may approximate the magnetic fields generated by the wires as those from long, straight wires

Two blocks, of weights 3.5 N and 5.8 N, are connected by a massless string and slide down a 39° inclined plane. The coefficient of kinetic friction between the lighter block and the plane is 0.064; that between the heavier block and the plane is 0.30. Assuming that the lighter block leads, find (a) the magnitude of the acceleration of the blocks and (b) the tension in the string.

In the figure below, the hanging object has a mass of m₁ = 0.410 kg; the sliding block has a mass of m₂ = 0.765 kg; and the pulley is a hollow cylinder with a mass of M = 0.350 kg, an inner radius of R₁ = 0.020 0 m, and an outer radius of R₂ = 0.030 0 m. Assume the mass of the spokes is negligible. The coefficient of kinetic friction between the block and the horizontal surface is ?_k = 0.250. The pulley turns without friction on its axle. The light cord does not stretch and does not slip on the pulley. The block has a velocity of v_i = 0.820 m/s toward the pulley when it passes a reference point on the table.

(a) Use energy methods to predict its speed after it has moved to a second point, 0.700 m away.
m/s

(b) Find the angular speed of the pulley at the same moment.
rad/s

Q1. The crankshaft in a race car goes from rest to 3100rpm in 2.8s.What is the crankshaft's angular acceleration?

Q2. A frictionless pulley, which can be modeled as a 0.83kg solid cylinder with a 0.30m radius, has a rope going over it, The tensions in the rope are 12N and 10N . What is the angular acceleration of the pulley?

Q3. A 1.2g pebble is stuck in a tread of a 0.73m -diameter automobile tire, held in place by static friction that can be at most 3.3N . The car starts from rest and gradually accelerates on a straight road. How fast is the car moving when the pebble flies out of the tire tread?

A photon, moving in the +x-direction, scatters off a free stationary electron. The wavelength of the incident photon is 0.0210 nm. After the collision, the electron moves at an angle α below the +x-axis, while the photon moves at an angle θ = 80.3° above the +x-axis. (a) Calculate the speed of the electron (in m/s). (b) Calculate the angle α (in degrees).

A glass flask whose volume is 1000 cm3 at a temperature of 0.100 ∘C is completely filled with mercury at the same temperature. When the flask and mercury are warmed together to a temperature of 52.0 ∘C , a volume of 8.50 cm3 of mercury overflows the flask.

If the coefficient of volume expansion of mercury is βHg = 1.80×10⁻⁴ /K , compute βglass, the coefficient of volume expansion of the glass.

You plan to take a trip to the moon. Since you do not have a traditional spaceship with rockets, you will need to leave the earth with enough speed to make it to the moon. Some information that will help during this problem:

m_earth = 5.9742 x 10²⁴ kg
r_earth = 6.3781 x 10⁶ m
m_moon = 7.36 x 10²² kg
r_moon = 1.7374 x 10⁶ m
d_{earth to moon} = 3.844 x 10⁸ m (center to center)
G = 6.67428 x 10^-11 N-m²/kg²

1)

On your first attempt you leave the surface of the earth at v = 5534 m/s. How far from the center of the earth will you get?

2)

Since that is not far enough, you consult a friend who calculates (correctly) the minimum speed needed as v_min = 11068 m/s. If you leave the surface of the earth at this speed, how fast will you be moving at the surface of the moon? Hint carefully write out an expression for the potential and kinetic energy of the ship on the surface of earth, and on the surface of moon. Be sure to include the gravitational potential energy of the earth even when the ship is at the surface of the moon!

Blocks A (mass 3.00 kg ) and B (mass 14.00 kg , to the right of A) move on a frictionless, horizontal surface. Initially, block B is moving to the left at 0.500 m/s and block A is moving to the right at 2.00 m/s. The blocks are equipped with ideal spring bumpers. The collision is headon, so all motion before and after it is along a straight line. Let +x be the direction of the initial motion of A.

Part A) Find the maximum energy stored in the spring bumpers.

Part B) Find the velocity of block A when the energy stored in the spring bumpers is maximum

Part C) Find the velocity of block B when the energy stored in the spring bumpers is maximum.

Part D) Find the velocity of block A after the blocks have moved apart.

Part E) Find the velocity of block B after the blocks have moved apart.

Please answer this very simple conceptual physics question: Regarding a parallel plate capacitor-- Explain something different between the potential inside the plates compared to potential outside the plates.

A fisherman and his young nephew are in a boat on a small pond. Both are wearing life jackets. The nephew is holding a large floating helium filled balloon by a string. Consider each action below independently, and indicate whether the level of the water in the pond R-Rises, F-Falls, S-Stays the Same, C-Can't tell. (If in the first the level Rises, and in the second it Falls, and for the rest one Cannot tell, enter RFCCC)

A) The fisherman lowers himself in the water and floats on his back
B) The fisherman fills a glass with water from the pond and drinks it.
C) The nephew gets in the water, looses his grip on the string, letting the balloon escape upwards.
D) The fisherman knocks the tackle box overboard and it sinks to the bottom.
E) The nephew pops the balloon.

Hint: Think "Archimedes Principle". How does the volume of fluid displaced by a body which `floats' differ from that for a body which sinks?