A 778 kg satellite is in a circular orbit about the Earth at a height above the Earth equal to the Earth's mean radius.

(a) Find the satellite's orbital speed.

(b) Find the period of its revolution.

(c) Find the gravitational force acting on it.

Two converging lenses, each of focal length 14.9 cm, are placed 39.4 cm apart, and an object is placed 30.0 cm in front of the first lens. Where is the final image formed?

The image is located  cm in front of the second lens.

What is the magnification of the system?
M =  ?

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Consider a combustion plant which uses solid biomass directly in a boiler that is operating a rankine cycle steam plant operates at 30% efficiency to generate electricity. At full operating capacity, the plant can process 2 million hectares of crops annually. Determine the annual electricity output (MWh) for this plant for two of the following crops: Wheat, Miscanthus, Switchgrass, Corn, and/or Hybrid Poplar. Consider (look-up) the energy content (HHV) and crop yields for different biomass types.

Bob has just finished climbing a sheer cliff above a beach, and wants to figure out how high he climbed. All he has to use, however, is a baseball, a stopwatch, and a friend on the ground below with a long measuring tape. Bob is a pitcher, and knows that the fastest he can throw the ball is about 33.7 m/s. Bob starts the stopwatch as he throws the ball (with no way to measure the ball\'s initial trajectory), and watches carefully. The ball rises and then falls, and after 0.910 seconds the ball is once again level with Bob. Bob can\'t see well enough to time when the ball hits the ground. Bob\'s friend then measures that the ball landed 125 m from the base of the cliff. How high up is Bob, if the ball started from exactly 2 m above the edge of the cliff?

Two cars collide at an intersection. Car A, with a mass of 1900 kg , is going from west to east, while car B , of mass 1400 kg , is going from north to south at 17 m/s . As a result of this collision, the two cars become enmeshed and move as one afterwards. In your role as an expert witness, you inspect the scene and determine that, after the collision, the enmeshed cars moved at an angle of 60 ∘ south of east from the point of impact. How fast were the enmeshed cars moving just after the collision? How fast was car A going just before the collision?

1. Why is there an electric field in a wire carrying a current if the wire is a conductor?

2. Which is easier and why, inserting a dielectric into a charged capacitor that is either connected or not connected to a battery?

3. Describe the motion of electrons moving through a conductor.

A hydraulic lift has two connected pistons with cross-sectional areas 20 cm² and 460 cm². It is filled with oil of density 590 kg/m³.

With the lift in balance with equal fluid levels, a person of mass 70 kg gets into the car. What is the equilibrium height difference in the fluid levels in the pistons?

How much did the height of the car drop when the person got in the car? h =

A curve of radius 68m is banked for a design speed of 80km/h .

f the coefficient of static friction is 0.36 (wet pavement), at what range of speeds can a car safely make the curve? [Hint: Consider the direction of the friction force when the car goes too slow or too fast.]

Express your answers using two significant figures separated by a comma. And express to Vmin, Vmax with km/h.

1. Using the Balmer formula calculate the first four wavelengths of the spectrum corresponding to n=3,4,5, and 6. Show your work.

2. Describe the possible orbits of an electron in a hydrogen atom that are allowed by the Bohr thoery.

3. What is the stationary state of the atom in Bohr theory?

(a) At what speed (in m/s) will a proton move in a circular path of the same radius as an electron that travels at 8.00 ✕ 106 m/s perpendicular to the Earth's magnetic field at an altitude where the field strength is 1.15 ✕ 10−5 T? m/s (b) What would the radius (in m) of the path be if the proton had the same speed as the electron? m (c) What would the radius (in m) be if the proton had the same kinetic energy as the electron? m (d) What would the radius (in m) be if the proton had the same momentum as the electron? m

Thermal energy ~ kT , where T is the absolute temperature (Kelvin) and k is Boltzmann's constant is an important benchmark... it is the energy available to electrons from their surroundings by virtue of random thermal motion.

The value of kT at room temperature is 0.026 eV or 26 meV.

What is the size, L, of the 3-D "box" in nanometers (a cube of side L) such that the energy difference between the ground state (1,1,1) and the first excited state (1,1,2) is about kT at room temperature?

A Honda Civic travels in a straight line along a road. Its distance x from a stop sign is given as a function of time t by the equation x(t)=αt²−βt³, where α = 1.48 m/s² and β = 0.0465 m/s³

^A)Calculate the average velocity of the car for the time interval t=0 to t= 2.02 s.

Express your answer in meters per second.

B)Calculate the average velocity of the car for the time interval t=0 to t= 4.03 s.

Express your answer in meters per second.

C)Calculate the average velocity of the car for the time interval t= 2.02 s to t= 4.03 s.

Express your answer in meters per second.

A 2.3 kg solid sphere (radius = 0.10 m ) is released from rest at the top of a ramp and allowed to roll without slipping. The ramp is 0.70 m high and 5.7 m long.

A.) When the sphere reaches the bottom of the ramp, what is its total kinetic energy?

B.) When the sphere reaches the bottom of the ramp, what is its rotational kinetic energy?

C.) When the sphere reaches the bottom of the ramp, what is its translational kinetic energy?

The starter motor of a car engine draws a current of 180A from the battery. The copper wire to the motor is 5.40mm in diameter and 1.2 m long. The starter motor runs for 0.960s until the car engine starts. How much charge passes through the starter motor? How far does an electron travel along the wire while the starter motor is on?