A cue ball traveling at 5.93 m/s makes a glancing, elastic collision with a target ball of equal mass that is initially at rest. The cue ball is deflected so that it makes an angle of 30.0° with its original direction of travel.

(a) Find the angle between the velocity vectors of the two balls after the collision.

(b) Find the speed of each ball after the collision.

Electrons with a speed of 1.1

1. Is momentum conserved in all of the experiments? Please give a complete description with examples as needed supporting your response.

2.Is kinetic energy conserved in all of the experiments? Please give a complete description with examples as needed supporting your response.

3. Does friction affect this experiment? If so, how? If not, why not?
4. If the track were not perfectly level, how would your results change if at all?
5. How might this experiment be improved to illustrate better the concepts of conservation of momentum and kinetic energy?

, on a hill. Dr. L., Jimmie and Kepler (Total mass = MT ) are all on a massless sled together. They are on a hill that is at an angle of θ above horizontal… Ok. Now we know Dr. L. is lazy. This is the third problem he’s reused… Assume they start from rest and that there is no friction between the sled and hill. a.) How fast will the sled be going when it reaches the bottom of the hill. --- Now assume there’s friction between the sled and hill. The coefficient of kinetic friction is µK. b.) Draw a free body diagram of the sled. c.) What is the force of friction acting on the sled? d.) Now use energy and determine the final velocity of the sled with friction. Is it less than it was before? Good! It better be.

A guard rail at the front row of the second deck of a sports stadium is 33 inches high. When someone sits back normally in a seat with a seat back in that section, the angle between the eye and the near edge of the playing field is 35 degrees below horizontal.

a) can an average person see over the rail? (use anthropometric data to make an estimate)

b) suggest how you would design the railing to prevent a front row fan from falling over the edge.

A magnetic field has a magnitude of 1.2e-3 T, and an electric field has a magnitude of 5.1e3 N/C. Both fields point in the same direction. A positive -1.8 microC moves at a speed of 3.5e6 m/s in a direction that is perpendicular to both fields. Determine the magnitude of the net force that acts on the charge.

1. Two 2.0 cm by 2.0 cm metal electrodes are spaced 1.0 mm apart and connected by wires of the terminals of a 9.0 V battery.
a. What are the charge on each electrode and the potential difference between them?
b. If the wires are disconnected, and insulating handles are used to pull the plates apart to a new spacing of 2.0 mm, what are the charge on each electrode and the potential difference between them?

c. If instead, the plates from part a. remained connected to the battery while the insulating handles pull them apart to their new spacing of 2.0 mm, what are the charge on each electrode and the potential difference between them?

A chimney (length 17.6 m, mass 823 kg] cracks at the base and topples. Assume: - the chimney behaves like a thin rod, and does not break apart as it falls. - only gravity (no friction) acts on the chimney as it falls. - the bottom of the chimney pivots, but does not move. Find the linear speed of the center of mass of the chimney, in m/s, just as it hits the ground

Part 2)A chimney (length 11.1 m, mass 852 kg] cracks at the base and topples. Assume: - the chimney behaves like a thin rod, and does not break apart as it falls. - only gravity (no friction) acts on the chimney as it falls. - the bottom of the chimney pivots, but does not move. Find the linear speed of the very top of the chimney, in m/s, just as it hits the ground.

The position of a particle moving along an x axis is given by x = 16.0t² - 6.00t³, where x is in meters and t is in seconds. Determine (a) the position, (b) the velocity, and (c) the acceleration of the particle at t = 3.00 s. (d) What is the maximum positive coordinate reached by the particle and (e) at what time is it reached? (f) What is the maximum positive velocity reached by the particle and (g) at what time is it reached? (h) What is the acceleration of the particle at the instant the particle is not moving (other than at t = 0)? (i) Determine the average velocity of the particle between t = 0 and t = 3.00 s.

a)number

b)number

C)number

D)number

E)number

F)number

g)number

H)number

i)number

You drive on Interstate 10 from San Antonio to Houston, half the time at 63 km/h and the other half at 90 km/h. On the way back you travel half the distance at 63 km/h and the other half at 90 km/h. What is your average speed (a) from San Antonio to Houston, (b) from Houston back to San Antonio, and (c) for the entire trip? (d) What is your average velocity for the entire trip?

a)number

b)number

c)number

d)number

The magnetic field 39.0 cm away from a long, straight wire carrying current 4.00 A is 2050 nT.

(a) At what distance is it 205 nT?
cm

(b) At one instant, the two conductors in a long household extension cord carry equal 4.00-A currents in opposite directions. The two wires are 3.00 mm apart. Find the magnetic field 39.0 cm away from the middle of the straight cord, in the plane of the two wires.
nT

(c) At what distance is it one-tenth as large?
cm

(d) The center wire in a coaxial cable carries current 4.00 A in one direction, and the sheath around it carries current 4.00 A in the opposite direction. What magnetic field does the cable create at points outside the cables?
nT

A disk turns through an angle of β(t)=Ct² - Bt³ where C=3.20 rad/s² and B= 0.500 rad/s³.
Calculate the angular acceleration α(t) and velocity w(t) as a function of time.

Isolated molecular clouds can have a temperature as low as 20 K and a particle density as great as 1.2×10⁵ per cubic centimeter.

What is the minimum mass that a cloud with these properties needs in order to form a star?

Mcloud= _________ MSun

The coefficient of friction (static and kinetic) between an object and a surface can be measured by putting the object on an adjustable inclined plane. (a) Draw a free-body diagram for the object, assuming static friction holds it in place on the incline. (b) Find an equation that can be used to solve for µs, in terms of the angle θmax which is the largest angle that the object can sit without sliding. (Hint: You can reduce the problem to two unknowns—the magnitude of ~n and the coefficient µs—so you will need two equations to solve for them both. Newton’s 2nd Law can provide both equations, since there are forces in both the x and y directions.) (c) Find the angle θconst where the object will move with a constant velocity down the incline if it is given an initial push. (d) Which is bigger, θconst or θmax? Describe the motion of the object (e.g., is it speeding up, slowing down, etc.) for each range of θ: between 0 and the smaller special angle, between the two special angles, and between the larger special angle and 90◦ . (Hint: You can check your answer with an experiment; a textbook cover provides a decent adjustable incline.)

Friends Mercedes and Kaandra are working out together at the 400 m track. Kaandra can do the 1600 m in a blazing 5 minutes and 30 seconds. Mercedes is significantly slower doing that distance in 7 minutes. The women decide to have a race going twice around the track. To make it more competitive Kaandra gives Mercedes a 100 m head start (i.e. Mercedes only runs 700 m). Who wins, by how much time?