An object 9.0 cm tall is 45 cm in front of a convex mirror with a radius of curvature of 45 cm.

A) Where is the image? distance

B) How big is it?

C) Construct a ray diagram to scale. Indicate the parallel, focal, and central rays in your diagram

A uniform electric field of magnitude 240 V/m is directed in the positive x direction. A +13.0 µC charge moves from the origin to the point (x, y) = (20.0 cm, 50.0 cm). (a) What is the change in the potential energy of the charge field system? J (b) Through what potential difference does the charge move?

1. Typical household currents are on the order of a few amperes.

a. If a 1.54A current flows through the leads of an electrical appliance, how many electrons per second pass through it?

b. If a 1.54A current flows through the leads of an electrical appliance, how many coulombs pass through it in 5.50 min?

c. If a 1.54A current flows through the leads of an electrical appliance, how long does it take for 7.24C of charge to pass through?

d. A copper transmission cable 170km long and a 12.5cm in diameter carries a current of 135 A. What is the potential drop across the cable?

The lightbulb has a different dynamic resistance depending on whether the voltage is increasing or decreasing. Explain why the dynamic resistance is different under these two conditions.

Everyone knows that an earthquake is the shaking of the ground. Describe the ways in which it acts like a wave. How can the S and P waves be used to determine the location of the epicenter and the nature of the interior of the Earth?

Two small nonconducting spheres have a total charge of Q=Q1+Q2= 90.0 μC , Q1<Q2. When placed 31.0 cm apart, the force each exerts on the other is 13.0 N and is repulsive.

Part A: What is the charge Q1?

Part B: What is the charge Q2?

Part C: What would Q1 be if the force were attractive?

Part D: What would Q2 be if the force were attractive?

A tourist is driving a car along a straight road at a constant speed of 22.5 m/s. Just as she passes a law officer parked along the side of the road, the officer starts to accelerate 2.50 m/s² to overtake her. Assume that the officer maintains this acceleration.

(a) Determine the time it takes the officer to reach the tourist (in s).

18 s

(b) Find the speed of the officer as he overtakes the tourist (in m/s).

  45 m/s

(c) Find the total displacement of the officer as he overtakes the tourist (in m).

  405 m

(d) What If? Determine the answers to parts (a) through (c) of the problem, if instead of accelerating at the same instant the car passes him, the officer instead begins his acceleration 1.00 s after the car passes him. (Enter the time in s, speed in m/s, and displacement in m.)

time _____s

speed ____m/s

displacement _____m

A long wire carrying a 5.8 A current perpendicular to the xy-plane intersects the x-axis at x=−1.7cm. A second, parallel wire carrying a 2.0 A current intersects the x-axis at x=+1.7cm. A. At what point on the x-axis is the magnetic field zero if the two currents are in the same direction? B. At what point on the x-axis is the magnetic field zero if the two currents are in opposite directions?

Two charges are placed on the x axis. One of the charges (q1 = +6.23C) is at x1 = +3.00 cm and the other (q2 = -29.4C) is at x2 = +9.00 cm. Find the net electric field (magnitude and direction given as a plus or minus sign) at (a) x = 0 cm and (b) x = +6.00 cm.

2 kg of iron ingot at 1100^oC is mixed with 1 kg of water at -20^oC. Once the thermal equilibrium is reached, what would be the final state of water? Be as detailed as possible.

Mount Alberta in Jasper National Park, Alberta, has an elevation of 3620 m above sea level. Determine the atmospheric pressure at the top of Mount Alberta, assuming a sea level pressure of 101 kPa and a temperature of 12°C. (Consider that the average molar mass of air is 29 g/mol.)

A small block with mass 0.0400 kg is moving in the xy-plane. The net force on the block is described by the potential- energy function U(x,y)= (5.90 J/m2 )x2-(3.50 J/m3 )y3.

A)

What is the magnitude of the acceleration of the block when it is at the point x= 0.39 m , y= 0.68 m ?

Express your answer with the appropriate units.

B) What is the direction of the acceleration of the block when it is at the point x= 0.39 m , y= 0.68 m ?

A manufacturing plant uses 2.49 kW of electric power provided by a 60.0 Hz ac generator with an rms voltage of 470 V . The plant uses this power to run a number of high-inductance electric motors. The plant's total resistance is R = 30.0 Ω and its inductive reactance is XL = 42.0 Ω .

A) What is the total impedance of the plant?

B) What is the plant's power factor?

C) What is the rms current used by the plant?

D) What capacitance, connected in series with the power line, will increase the plant's power factor to unity?

E) If the power factor is unity, how much current is needed to provide the 2.49 kW of power needed by the plant?

F) Compare the current found in part E with the current found in part C. (Because power-line losses are proportional to the square of the current, a utility company will charge an industrial user with a low power factor a higher rate per kWh than a company with a power factor close to unity.)

A fireworks rocket is launched vertically upward at 40 m/s. At the peak of its trajectory, it explodes into two equal-mass fragments. One reaches the ground t1 = 2.63s after the explosion. When does the second fragment reach the ground?