A home run is hit in such a way that the baseball just clears a wall 14 m high, located 120 m from home plate. The ball is hit at an angle of 37° to the horizontal, and air resistance is negligible. (Assume that the ball is hit at a height of 1.0 m above the ground.)

(a) Find the initial speed of the ball.
-answer in m/s

(b) Find the time it takes the ball to reach the wall.
-answer in s

(c) Find the velocity components of the ball when it reaches the wall.

Find the speed of the ball when it reaches the wall.
m/s

Suppose a 2-dimensional space is spanned by the coordinates (v, x) and that the line
element is defined by:

ds2 = -xdv2 + 2dvdx

i) Assuming that the nature and properties of the spacetime line element still hold,
show that a particle in the negative x-axis can never venture into the positive
x-axis. That is, show that a particle becomes trapped if it travels into the
negative x-axis.
ii) Draw a representative light cone that illustrates how a particle is trapped.

1. Choose the correct statements from the following list. (Give ALL correct answers, i.e., B, AC, BCD...)
   
   A)
   B) The horizon problem in cosmology is that regions of the universe that should not have ever had thermal contact with one another have the same temperature.
   C) Assuming no dark energy, if the matter density of the universe is greater than critical, the universe is open.
   D) The inflationary model of the universe solves both the flatness and the horizon problems.
   E) Observations show us that the geometry of our universe must be very close to flat.
   F) Assuming no dark energy, if the matter density of the universe is greater than critical, the universe is will expand forever.
   G) The critical density is the density needed to cause the Big Bang.

A toy car of mass 40g rides along a frictionless track of length 5m. One end of the track is held 2m above the floor. The end on the floor meets a tiny wedge inclined upward at 30 degrees, which acts as a ramp. If the car is let go from rest at the top of the incline, how far from [the ramp at the end of] the track does it land?

1.Explain the mathematical and graphical relationship between velocity and acceleration using your own words.

2.Explain the mathematical and graphical relationship between velocity and position using your own words.

3.How does the angle of inclination affect the velocity of the marble? The acceleration?

4.Compare calculated velocity and acceleration to velocity and acceleration determined from graphs. Do the values match?

If not, which value is more accurate and why?

5. Describe the motion of an object with positive velocity and negative acceleration.

Describe the motion of an object with negative velocity and positive acceleration. Describe the motion of an object with negative velocity and negative acceleration.

6.

Describe the motion depicted by the following motion diagram. Then, sketch a velocity versus time graph for this motion diagram and insert the image into Graph 5:

7. Relate the velocity and position versus time graphs you made in Part 2 and Part 3 to one another.

How does the distance traveled with constant incline (Part 2) affect the velocity? What about the acceleration?

In a closed, isolated system of particles, forces internal to the system do not change the motion of the system as a whole. The velocity of the center of mass of such a system is unchanged unless the system is impacted by some net external force. In this context, and with the aid of a single illustration, explain what is meant by a) internal force, and b) external force. c) Explain why internal forces have no effect on the system’s motion.

Explain how to use color coordinates to find the range of colors that can be expressed using three different colored (waveform) light sources and discuss what values should be chosen on the color coordinates if three monochromatic light sources are selected to maximize the range of color representation.

On a drive of 800 miles how much CO₂ do you release in to the atmosphere in kilograms. Assume your car consumes 24 miles to the gallon.(Your gas is 100% octane, and has a mass of 2.9 kg/US gallon)

A Spherical Capacitor with two concentric shells with radii a and b with a<b. The volume between the shells contains a vacuum and the inner and outer shells hold charges +Q and -Q respectively.

1) Use Gauss law to callculate the displacement field D between the spheres.

2) What is the capacitance of this configuration?

3) If the volume is filled with a dialectric with relaltive permittivity, how does the capacitance change?

A physicist has developed a device that generates a beam of alpha particles (each of which is a helium nucleus, consisting of two protons, two neutrons, and no electrons). The device ejects a steady stream of 4910 alpha particles per second. You are testing different shielding materials for a test chamber that will house the alpha particle generator. You prepare a sheet of one potential material in an electrically neutral state, mount it on a perfectly insulating stand, and fire the alpha particle device at it for 17.3 seconds. Afterward, you measure that the charge of the sheet is 6.39 × 10-15 coulombs. Assume that none of the alpha particles bounced back from the sheet, meaning that the alpha particles either were captured by the shielding or penetrated completely through the shielding. What percentage of the alpha particles penetrated completely through the shielding material?

20, This picture is an example of ____________

Elastic Collision

Inelastic collision

21,

This picture is an example of ____________

Elastic Collision

Inelastic collision

22,

The law of conservation of momentum states that the total momentum of all objects interacting with each other will ________________________ no matter of the nature of the forces between the object.

increase

decrease

remain constant

fluctuate

23,

This is an example of what kind of collision?

Elastic

Inelastic

24,

What is Newton's Law of Conservation of Momentum?

Object in motion stays in motion and an object at rest stays at rest unless acted on by a outside force

Force = mass x acceleration

For every action there is an equal and opposite reaction

Momentum can not be created or destroyed without outside forces

25,

True/False: Elastic Collision causes a rebound.

True

False

26,

Which of the following does NOT affect momentum?

Mass

Speed

Direction

Color of Object

27,

A biker with a mass of 75 kg moves along the path with a constant velocity of 5 m/s. What is the biker's momentum?

25 m/s

375 m/s

25 kg m/s

375 kg m/s

28,

A runner has a momentum of 670 kg m/s and is travelling at a velocity of 9 m/s. What is his mass?

6030 kg

0.0134 kg

74.4 kg

80 kg

29,

The purpose of crumple zones on a car is to

decrease time of impact.

increase force of impact.

increase the time of impact.

decrease the impulse during impact.

30,

The difference between a car hitting a wall vs. a car hitting a hay stack is

the Impulse on the car hitting the wall is greater

the change in momentum of the car hitting the wall is greater

the force on the car hitting the hay stack is greater

the collision time of the car hitting the hay stack is greater

31,

A constant force of 4.5 N acts on a 7.2-kg object for 10.0 s. What is the change in the object's momentum?

45 kg m/s

72 kg m/s

32.4 kg m/s

0.45 kg m/s

32,

In a physics experiment, two carts of mass 1.5 kg each are rolled towards each other. The orange cart has a velocity of 2 m/s and the blue cart has a velocity of -1m/s. The carts stick together when they collide. Calculate their final speed.

0.5 m/s

1.0 m/s

0.33 m/s

0.67 m/s

33

If two objects have the same mass, then the faster moving object has ____________ momentum.

more

less

the same

34,

While playing pool, the white cue ball strikes the 8 ball. Before the collision, the cue ball's velocity was 10 m/s and the 8 ball was at rest. If both ball's have a mass of 0.15 kg and the cue ball's velocity after the collision is 2 m/s, what is the 8 ball's velocity?

2 m/s

8 m/s

-2 m/s

1.5 m/s

35,

The total momentum before a collision is _________ the total momentum after a collision.

equal to

less than

more than

It depends on the type of collision

36,

A 0.40 kilogram bird is flying at a constant speed of 8.0 m/s. What is the bird's kinetic energy?

3.2 J

4.2 J

2.0 J

12.8 J

37,

A 2600 kilogram car is moving at a speed of 25 m/s. How much kinetic energy does the car have?

427,500 J

237,500 J

812,500 J

537,500 J

A box (massm= 15kg) is placed on a slope (θ= 35◦), as shown in the diagram below. Thecoefficients of friction between the box and the slope areμs= 0.6 andμk= 0.4. The box is released from reston the slope.(a) (2 points)Draw a free-body diagram for the box after it is released.(b) (8 points)Determine the acceleration of the box after it is released.

A 115 N block moves on a flat surface at an initial speed of 5 m/s. The coefficient of kinetic friction between the block and the surface is 0.28. The block is 2.2 meters away from the beginning of a spring with a coefficient of 150 N/m. The spring is initially in its stable state and has a length of 140 centimeters.

Show the Work and Energy substituted equation for this case.

You are not required to solve it, but if you want to demonstrate it you can do so

There is a long cylinder magnet with inner radius of R1 outher radius of R2 length of L and magnetization of M=MoZ for R1<rR2
Calculate B and H everywhere
Claculate bound surface
Calculate the magnetic vector potential everywhere
Calculate B again along z axis by assuming the cylindircal magnet is short
What is the electrostatic equivalent of this structure