5.) A ballistic pendulum consists of a 10 gram projectile striking and sticking to a 1.5 kg mass. Both objects then rise 2.5 cms. A.) Calculate the velocity of the pendulum and projectile (stuck together) after the collision. B.) Determine the initial speed of the projectile as it hits the 1.5 kg mass. C.) How much non-conservative work was done during the process?

In the figure, a parallel-plate capacitor is being discharged by a current ? = 5.0 ?. The plates are square with edge length
? = 8.0 ??.

1. (a) What is the displacement current ?! and displacement current density ?! (current per unit of area) in the air space between the plates?

2. (b) What is the rate at which the electric field between the plates is changing?

3. (c) What is the value of ? ∙ ?? around the dashed path, where ? = 2.0 ?? and ? =3.0 ???

Problem 1a: Velocity Selector: Show that with the right ratio of electric to magnetic field strength a particle of velocity v will proceed through both fields in a straight line at constant speed (hint: you will need an equation containing v. Also: what does the straight line at constant speed give you?). Assume that the angle of the velocity vector relative to the magnetic field vector is 90 degrees.

b: Show mathematically that the charge magnitude and sign do not matter.

c: Draw and label the electric field vector, the electric force vector, the magnetic field vector, the velocity vector and the magnetic force vector. Hint: start with the two force vectors. They have to add to zero. Then use the vector nature of the Eq = F(E) equation and the right hand rule to get the other vectors.) Assume that the particle is negatively charged. Use into and out of the page vector notation where necessary.

d. Explain in terms of what happens with the force vectors when the charge sign changes to allow a particle of either charge sign pass through the velocity selector at constant velocity v. In other words, explain physically why the particle charge sign makes no difference.

e. Explain in terms of what happens with the force vectors when the charge magnitude changes. In other words, explain physically why the charge magnitude makes no difference in the velocity selector.

A circular ring of radius R with a total charge 2Q uniformly distributed along its circumference lies in the x y plane with its center at the origin.

(a) Find the electric field at a point with coordinates (0, 0, z0). Show all steps in your calculation. Don’t forget to represent the field in vector form - magnitude and direction!

(b) Find the locations along the z axis where the electric field has its largest values (don’t forget that because of the symmetry of the situation, there are two points where the field has it’s largest magnitude).

A pendulum consists of a 3.0 kg stone swinging on a 4.4 m string of negligible mass. The stone has a speed of 8.1 m/s when it passes its lowest point. (a) What is the speed when the string is at 58 ˚ to the vertical? (b) What is the greatest angle with the vertical that the string will reach during the stone's motion? (c) If the potential energy of the pendulum-Earth system is taken to be zero at the stone's lowest point, what is the total mechanical energy of the system?

A flea is able to jump straight up about 0.52 m. It has been said that if a flea were as big as a human, it would be able to jump over a 100-story building! When an animal jumps, it converts work done in contracting muscles into gravitational potential energy (with some steps in between). The maximum force exerted by a muscle is proportional to its cross-sectional area, and the work done by the muscle is this force times the length of contraction. If we magnified a flea by a factor of 1040, the cross section of its muscle would increase by 1040² and the length of contraction would increase by 1040. How high would this "super flea" be able to jump? (Don't forget that the mass of the "super flea" increases as well.)

in meters

How does hockey equipment (helmets, neck guard, mouth guard, padding & skates) for injury prevention relate to clinical biomechanics?

A father racing his son has half the kinetic energy of the son, who has two-fifths the mass of the father. The father speeds up by 3.0 m/s and then has the same kinetic energy as the son.

While getting ready for work one morning I encountered something I can't figure out.

I wear glasses and without them objects are blurry unless I get very close, within a few inches. I always take my glasses off when I blow dry my hair in the morning. While standing in front of the mirror in my bathroom I can see a reflection of the tv screen in the bedroom. It is blurry when my glasses are off and much clearer when I put my glasses on. One morning I was interested in a show on tv whilst I was drying my hair so I figured I could watch what was going on if i put my face very close to the mirror while I dried my hair. I tried but no matter how close I got to the mirror the reflected image of the tv stayed blurry. I was close enough to where I normally can see an object clearly without my glasses. I can't figure out why the reflection remained blurry despite my closeness to the mirror. Why would that be?

In your own words describe the rotation of the earth and its revolution around the sun in terms of the Foucault Pendulum experiment and parallax and the aberration of starlight.

Thinking about the 2nd law of Thermodynamics, list 4 examples of irreversible processes and why you know they're irreversible.

The inner workings of most electronic devices for diagnostic imaging are temperature-sensitive, in that they will not function properly if safe operating temperature is exceeded. However, these devices also include internal components that emit considerable heat within the device.

Provide TWO specific strategies that an equipment designer could employ to reduce heating of the temperature-sensitive components in an electronic device,  explain how physics concepts are applied in each strategy.

Heavenly Dog eating the Sun
As an astronomy lover, there is no way for you to miss the partial solar eclipse.
(a) It is not safe to observe the eclipse with your naked eyes. Why?
(b) Unfortunately, you do not have the right solar filter to do the observation. You will project the image onto a piece of paper instead. You expect to see some sunspots on the image. Which scientist discovered sunspots, and what was the implication of the discovery?
(c) Your foreign friend has promised to send you his photos of the total solar eclipse. Why is the total eclipse viewable at his city but not yours?

A uniform, thin, solid door has height 2.30 m, width 0.810 m, and mass 24.5 kg.

(a) Find its moment of inertia for rotation on its hinges.
kg

Early test flights for the space shuttle used a "glider" (mass of 980 kg including pilot). After a horizontal launch at 500 km/h at a height of 4000 m , the glider eventually landed at a speed of 220 km/h .

a) What would its landing speed have been in the absence of air resistance?

b) What was the average force of air resistance exerted on it if it came in at a constant glide angle of 14 ∘ to the Earth's surface?