An electric field given by E→ = 1.7î - 1.8(y² + 8.4)ĵ pierces the Gaussian cube of edge length 0.180 m and positioned as shown in the figure. (The magnitude E is in newtons per coulomb and the position x is in meters.) What is the electric flux through the (a) top face, (b) bottom face, (c) left face, and (d) back face? (e) What is the net electric flux through the cube?

Blocks A (mass 4.00 kg ) and B (mass 7.00 kg ) move on a frictionless, horizontal surface. Initially, block B is at rest and block A is moving toward it at 4.00 m/s . The blocks are equipped with ideal spring bumpers. The collision is head-on, so all motion before and after the collision is along a straight line. Let +x be the direction of the initial motion of block A.

Find the maximum energy stored in the spring bumpers?

Find the velocity of block A when the energy stored in the spring bumpers is maximum?

Find the velocity of block B when the energy stored in the spring bumpers is maximum?

Find the velocity of block A after they have moved apart?

Find the velocity of B after they have moved apart?

You shine a laser on a plastic prism made from an unknown material and measure the angles relative to the normal that the light takes both inside and outside the medium. You make a plot of sin ?_inside versus sin ?_outside for the plastic object and calculate the slope of best-fit line of your plot to be 0.79365 ± 0.05669. What is the index of refraction of the plastic object?

Correct Answer: 1.26 +/- 0.09

How do you get the 0.09 uncertainty?

A)The mass of the Moon is 7.4 × 10²² kg, its radius is 1.74 × 10³ km, and it has no atmosphere. What is the acceleration (in m/s²) due to gravity at the surface of the Moon? (G = 6.67 × 10^-11 N ∙ m²/kg²)

B)From what height above the surface of the earth should an object be dropped to initially experience an acceleration of 0.54g? (G = 6.67 × 10^-11 N ∙ m²/kg², M_earth = 5.97 × 10²⁴ kg, R_earth = 6.38 × 10⁶ m)

C)A fairground ride spins its occupants inside a flying saucer-shaped container. If the horizontal circular path the riders follow has an 8.0 m radius, at how many revolutions per minute will the riders be subjected to a centripetal acceleration whose magnitude is 1.5 times that due to gravity?

D)An automobile with 0.260 m radius tires travels 83000 km before wearing them out. How many revolutions do the tires make, neglecting any backing up and any change in radius due to wear?

Doppler spectral line broadening is caused by the fact that the velocity of atoms or molecules relative to the observer follows a Maxwell distribution. The effect is dependent on temperature. Hence it serves as a thermometer to determine the temperature of hot gases, such as in distant stars as well as the relative motion of the light source (away or approaching) the Earth observer. Derive the distribution of the intensity of spectral line and show how the line width is related to the temperature.

25. If the following waves are superposed y1 = A Cos[k x – w t] and y2 = A Cos[k x + w t] where A = 0.2 cm, f = 10 Hz and c = 10 m/s. (a) Sketch the waveform at time t = 0 and t = 1/40 s. (b) What is the distance between the nodes. (c) Determine the kinetic and potential energy contained within the string section between the a node and an antinode. (d) Show that the total energy between the node and antinode is a constant in time. Why is this physically reasonable?

1) A 1000 kg rocket travels in outer space at 5000 m/s. The rocket then separates into two sections: a 250 kg section that travels at 8000 m/s, and a 750 kg section. All of this takes place in a straight line that you can consider as your x-axis. (Do not assume kinetic energy is constant throughout this process.)

A) What is the total momentum of the system before the separation?

B) What is the total kinetic energy of the system before the separation?

C) What is the final velocity of the more massive 750 kg rocket section?

D) What is change in the system’s kinetic energy in Joules?

please please help me

Determine if the following requirements for a wet well control system, are consistent:

a) If the pump is on then the valve shall be open.

b) If the valve is closed then the water level is ≤ 10 meters.

c) If the water level is >10 meters then the pump is on.

If the current in the solenoid is ramped at a constant rate from zero to I_s= 2.10 A over a time interval of 75.0 ms, what is the magnitude of the emf in the outer coil while the current in the solenoid is changing?

What is the mutual inductance between the solenoid and the short coil?

Now reverse the situation. If the current in the short coil is ramped up steadily from zero to I_c= 2.80 A over a time interval of 11.0 ms, what is the magnitude of the emf in the solenoid while the current in the coil is changing?

*define convection

*list three examples in the world around you where convection currents are important. Give a short description of each.

Water heater

In a water heater, tap water with the temperature 10 degrees celcius is heated to 60 degrees celcius. For a shower, a total of 20 litres of water is used. Water from the water heater is mixed with tap water to reach the temperature 35 degrees celcius when one showers.

1. How much ENERGY is needed to heat 10 litres of water from 10 celcius to 60 celcius?

2. How much EXERGY is needed to heat 10 litres of water from 10 celcius to 60 celcius?

3. How much ENERGY is needed to heat 20 litres of water from 10 celcius to 35 celcius?

4. How much EXERGY is needed to heat 20 litres of water from 10 celcius to 35 celcius?

5. What is the change in entropy when 10 litres of water with the temperature 10 celcius is mixed with 10 litres of water with the temperature 60 celcius?

what is eddy current.explain minimum in 100 words.