37.44•• A Σ+Σ+ particle has a mean lifetime of 80.2 ps. A physicist measures that mean lifetime to be 403 ps as the particle moves in his lab. The rest mass of the particle is 2.12×10−27 kg.2.12×10−27 kg. (a) How fast is the particle moving? (b) How far does it travel, as measured in the lab frame, over one mean lifetime? (c) What are its rest, kinetic, and total energies in the lab frame of reference? (d) What are its rest, kinetic, and total energies in the particle’s frame?

1. A commercial airliner is flying at 450 mph, 20° east of north, relative to the surrounding air. The surrounding air though is blowing at 90 mph, 40° south of east, relative to the ground. The relative humidity of the air is 70%. How fast is the airliner flying relative to the ground, and in what direction?

2. Kenny and Cartman are playing paintball blindfolded. They are initially standing back-to-back, facing away from each other. Treat it as if they are standing on exactly the same spot. Kenny then runs 8 meters due west. Meanwhile, Cartman runs 2 meters due east, turns left, and runs 6 meters 30° east of north. They then turn around and start shooting paintballs. Of course, they are both blindfolded, so they aren’t coming anywhere close to hitting each other. How far apart are they when they start shooting?

3. Cartman decides to cheat, and peaks through his blindfold to see where Kenny is. He then turns and aims at Kenny. What direction does he need to aim in to hit Kenny? (relative to the cardinal axes, i.e. something like 40° south of west)

Describe the general types of interactions that contribute to the collision stop- ping power, (dTl&),.

Describe three different methods for the detection exoplanets.

For each method, explain what type of exoplanet is the method most sensitive for detecting?

i.e. large vs. small, close in vs. far out from its host star, cold vs. hot, massive vs. low mass

A cannon on a train car fires a projectile to the right with speed v0, relative to the train, from a barrel elevated at angle θ. The cannon fires just as the train, which had been cruising to the right along a level track with speed vtrain, begins to accelerate with acceleration a, which can be either positive (speeding up) or negative (slowing down). Find an expression for the angle at which the projectile should be fired so that it lands as far as possible from the cannon. You can ignore the small height of the cannon above the track.

Two planets P1 and P2 orbit around a star S in circular orbits with speeds v1 = 42.6 km/s, and v2 = 56.0 km/s respectively.

(a) If the period of the first planet P1 is 780 years what is the mass, in kg, of the star it orbits around?

(b) Determine the orbital period, in years, of P2.

1. Imagine a bar magnet, with North and South poles, moving in the direction perpendicular to a single loop of wire on the horizontal plane, as shown below.   Show the directions of current induced in the coil using arrows and explain why.

a. Magnet moving toward the coil.

b. Magnet moving away from the coil.

3. Geodesics in R² : Consider 2D flat space in polar coordinates r and θ. Find the curves parametrized by r(s) and θ(s) that satisfy the geodesic equation, and show that they correspond to straight lines in R²

Friction lab Analysis: 1. HOW I CAN Construct a graph of friction vs Normal force. Can I plot both Static and Kinetic friction on a single Excel Graph and how. 2. How can I use this graph to find the coefficient of static and kinetic friction? (Hint: Think about how we found mass in the Newton’s second law experiment)

An 8.00-cm-long piece of wire is formed into a square, and carries a clockwise current of 0.150 A. The loop is placed inside a solenoid, and the plane of the loop is perpendicular to the solenoid’s magnetic field. The solenoid carries a counterclockwise current of 17.0 A, and has 25 turns per centimeter. What is the force on each side of the loop?

Please explain

Compare the passage of charged and uncharged particles through matter. What are the approximate probabilities of a single charged particle achieving a path- length equal to twice its range, or of a single photon having a pathlength twice as great as the mean free path lip? (Assume the photon is totally absorbed in its first interaction.)

Its a video of a glider pushed forward and going back due to a fan blowing of the opposite direction of being pushed.

After watching this video, Blake, a student in an introductory physics class, makes the following claim:

The acceleration and velocity of the glider are both momentarily zero when the glider changes direction. The velocity of the glider must be zero for an instant when the glider changes direction. Because the velocity is zero, the acceleration must also be zero.

Respond to Blake's claim. Which parts, if any do you agree with, and which parts do you not agree with? To support your response, use evidence from your experience, or from the videos in this activity.

A series circuit contains a 3.00 H inductor, a 3.00