The figure shows a 11.8 V battery and four uncharged capacitors of capacitances C1 = 1.16 μF,C2 = 2.31 μF,C3 = 3.26 μF, and C4 = 4.19 μF. If only switch S1 is closed, what is the charge on (a) capacitor 1, (b) capacitor 2, (c) capacitor 3, and (d) capacitor 4? If both switches are closed, what is the charge on (e) capacitor 1, (f) capacitor 2, (g) capacitor 3, and (h) capacitor 4?

what factors do you think may cause the experimental value to be different from the accepted value

A 49.6 g marble moving at 3.99 m/s strikes a 13.6 g marble at rest.

A) What is the speed of the initially moving marble immediately after the collision?
2.2728 m/s

B)What is the speed of the initially not moving marble immediately after the collision?

The control panel on a spaceship contains a light that blinks every 1.81 s as observed by an astronaut in the ship. If the spaceship is moving past Earth with a speed of 0.793c, determine the proper time interval between blinks and the time interval between blinks as observed by a person on Earth.

(a)

the proper time interval (in s) between blinks

s

(b) the time interval (in s) between blinks as observed by a person on Earth

s

(c) An electron has a momentum with magnitude six times the magnitude of its classical momentum. Find the speed of the electron.
c

How would gravitational mass and inertial mass change in an elevator (if at all)? Why is this true?

A mass m = 85 kg slides on a frictionless track that has a drop, followed by a loop-the-loop with radius R = 18.9 m and finally a flat straight section at the same height as the center of the loop (18.9 m off the ground). Since the mass would not make it around the loop if released from the height of the top of the loop (do you know why?) it must be released above the top of the loop-the-loop height. (Assume the mass never leaves the smooth track at any point on its path.)

1)

What is the minimum speed the block must have at the top of the loop to make it around the loop-the-loop without leaving the track?

m/s

2)

What height above the ground must the mass begin to make it around the loop-the-loop?

m

3)

If the mass has just enough speed to make it around the loop without leaving the track, what will its speed be at the bottom of the loop?

m/s

4)

If the mass has just enough speed to make it around the loop without leaving the track, what is its speed at the final flat level (18.9 m off the ground)?

m/s

5)

Now a spring with spring constant k = 18200 N/m is used on the final flat surface to stop the mass. How far does the spring compress?

m

6)

It turns out the engineers designing the loop-the-loop didn’t really know physics – when they made the ride, the first drop was only as high as the top of the loop-the-loop. To account for the mistake, they decided to give the mass an initial velocity right at the beginning.

How fast do they need to push the mass at the beginning (now at a height equal to the top of the loop-the-loop) to get the mass around the loop-the-loop without falling off the track?

m/s

7)

The work done by the normal force on the mass (during the initial fall) is:

positive

zero

negative

An atom is in a time independent one-dimensional potential well. The system's spatial wave function at t=0 is Ψ(x,0) = Ax(a-x) for 0<x<a and zero for all other x. (a) The system's energy is measured at t=0. What is the most likely outcome? Find the probability for obtaining this result. (b) What is the systems's average energy at t=0? Compare it with the energy in (a) and explain your answer.

A -10.0 nC point charge and a +20.0nC point charge are 13.5 cm apart on the x-axis.

Part A

What is the electric potential at the point on the x-axis where the electric field is zero?

Express your answer with the appropriate units.

Part B

What is the magnitude of the electric field at the point on the x-axis, between the charges, where the electric potential is zero?

Express your answer with the appropriate units.

How much thermal energy (in kcal) is required to change a 48 g ice cube from a solid at - 14.6 oC to steam at 10.8 oC above boiling?

Charges 3 micro coulombs and -6 micro coulombs are placed 5cm from each other. Find where the electric field equals 0 and where the electric potential is zero

Two narrow slits 60 μm apart are illuminated with light of wavelength 500nm. The light shines on a screen 1.2 m distant. How far is this fringe from the center of the pattern?

A certain super capacitor has a capacitance of 1.0F. The maximum voltage is 2.7 V. It is contained in a 8.00mm diameter can that is 13.00 mm long. It has two leads that are 3.50mm apart. It costs $0.29 when bought in bulk. How can such a large capacitance be made in a small container? The largest dielectric constant for oils is about 90. The largest dielectric constant is about 100,000 in material that costs $100,000/kg. Just describe the type of design (vacuum parallel-plate, dielectric parallel-plate, cylindrical, dielectric cylindrical, rolled parallel-plate, electrolytic, adjustable plate, etc.)

What is the energy density of the capacitor when fully charged?

A skier is skiing downhill at constant speed. The slope is inclined at 10^o with respect to the horizontal. The skier’s mass is 65 kg, what is the value of the coefficient of kinetic friction between the skis and the snow?

The Human Eye THE HUMAN EYE: While digital camera form images with pixels, the human eye forms images with rods and cones that lie on the retina. If two point objects close together are to be seen as two distinct objects, the images must fall on the retina on two different cones that are not adjacent. That is, there must be a cone between them. Assume that the cones are sensitive to a wavelength of 550nm. If the iris is about 5mm in diameter, and we can model the human eye as a sphere with roughly a 25mm diameter,

a. What is the minimum separation between two objects at a distance of 2rn away from the eye that we can resolve at this wavelength?

b. What is the distance between the two cones on the retina?