In class exam

In the "Fight Science", the strike of a wushu master and a snake are measured. If constant acceleration is assumed, what is the acceleration and final speed for each strike?
              Distance (m)   Time (s)
Wushu master     .394         .0947
Snake            .118         .0295

Gold has a density of 19.3 g/cm3. What is the mass of a gold cube that is 2.5 cm on a side?
Gold costs 45 $/g. What is the price of the gold cube?
A cello A-string is 690 mm long and has a frequency of 220 Hertz. What is the speed of the wave on the sring?
The speed of sound is 340 meters/second. What is the wavelength of the sound wave?
Chuck Norris catches a cannonball with a mass of 20 kg and a speed of 300 m/s, and Chuck Norris has a mass of 110 kg. What is Chuck's recoil velocity?
Ant man is standing on the top of a bowling ball with a radius of 217 mm and rolling at 8 m/s. What does he experience for the centripetal acceleration?
A punter kicks a ball with a vertical velocity of 22 meters/second. For how long is the ball in the air and how high does it go?
Draw diagrams showing the concepts of a chain reaction and critical mass.
Chuck Norris has a mass of 110 kg and he has a jet pack that generates 1800 Newtons of upward force. He is also on the surface of the Earth and subject to Earth gravity. What is his vertical acceleration?
Chuck has a mass of 110 kg. How much gravitational potential energy does he gain if he climbs a 12 meter staircase in 5 seconds, and what is the power in Watts?
What is the maximum drag racing acceleration for a car with a mass of 1700 kg and tires with a coefficient of friction of 1.1?
              Position (meters)    Mass (kg)
Chuck Norris        11               110
Tyrion Lannister    15                60
Where is the center of mass?
What is the pressure at the bottom of a 5 meter deep pool, relative to the surface?
Take home exam

When Mars is closest to the Earth, how long does it take light to travel from Mars to Earth?

How long does it take sound to travel from 60th street to Houston street in Manhattan?


Find a subject from the history of science that is not in www.jaymaron.com/history/history.html and use Wikipedia to construct a timeline for it. One possibility is the history of science outside of Western Civilization or from before Ancient Greece.
Baseball
Speed of a baseball pitch thrown by Thor            98 meters/second
Initial height of the baseball                     2.2 meters
Distance from the pitcher to the batter             20 meters
The pitch is thrown horizontally so that if there were no gravity, it would travel horizontally and stay at a height of 2.2 meters. If gravity is included, how much does the pitch drop vertically when it arrives at home plate?
Acceleration

Obtain a youtube video of any of the following:
A Usain Bolt 100 meter sprint
A Formula-1 car accelerating from 0 to 75 m/s.
A drag racing car accelerating from 0 to 100 m/s.
A cheetah accelerating from 0 to 20 m/s.

Analyze the video frame-by-frame to generate a plot of position vs. time and use it to estimate the velocity and acceleration vs. time.

Plot the power vs. time, where

Power  =  Force * Velocity  =  Mass * Acceleration * Velocity

What is the mean radius of the Earth's orbit?
If we assume that the Earth is on a circular orbit around the sun with this radius, how do you calculate its orbital speed?
The gravitational constant is 6.67*1011 Newton meters2 / kg2. Use the above data to calculate the mass of the sun.
Space station
Mass of Earth          =  5.97e24 kg
Radius of Earth        =  6372 km
Gravity constant       =  6.67e-11 Newton meters2/kg2
Earth orbital velocity =  7.8 km/s   (Min velocity to orbit the Earth at a height of 400 km)
The space station is at a height of 400 km above the surface of the Earth. What is the gravitational acceleration at this height?

What is the gravitational potential energy of a 1 kg object 400 km above the surface of the Earth?

Earth orbital velocity is 7.8 km/s. What is the kinetic energy of a 1 kg mass moving at this speed?

Show how to calculate the Earth's orbit velocity from gravity and centripetal acceleration.


Artificial gravity

In space, artificial gravity can be generated by spinning the spaceship. NASA experiments show that the spin period has to be 30 seconds for the astronauts to not get dizzy. If a spaceship has a spin period of 30 seconds and if the artificial gravity is 10 meters/second2, what is the spin radius?


Draw a diagram showing the phenomenon of beat frequencies.
What are the technical obstacles for constructing a uranium fission bomb? What are the obstacles for a plutonium fission bomb? Sketch a diagram showing how to detonate a uranium and a plutonium bomb.
Spin

Using data from the web, what is a typical speed and spin rate for the following balls? Measure spin rate in revolutions per second.

A baseball curveball.
A golf ball hit by a driver and a 9 iron.
A tennis groundstroke hit with extreme topspin.
A ping pong ball hit with extreme spin.
A football thrown with an extreme spiral.
A soccer ball kicked with extreme speed and spin.

           Diameter  Mass   Density
              (mm)   (g)    (g/cm3)

Ping pong      40      2.7    .081
Squash         40     24      .716
Golf           43     46     1.10
Badminton      54      5.1    .062
Racquetball    57     40      .413
Billiards      59    163     1.52
Tennis         67     58      .368
Baseball       74.5  146      .675
Whiffle        76     45      .196
Football      178    420      .142
Rugby         191    435      .119
Bowling       217   7260     1.36
Soccer        220    432      .078
Basketball    239    624      .087
Cannonball    220  14000     7.9


R  =  Ball radius
F  =  Spin in revolutions per second
V  =  Ball velocity
Ve =  Velocity of the edge of the ball due to its spin
   =  2 Pi R F
Z  =  Spin ratio
   =  Ve/V
For a ball rolling on the ground, Z=1.

Calculate Z for the data you collected.


Earth-moon system
M  =  Mass of the Earth         =  5.97e24 kg
R  =  Radius of the Earth       =     6371 km
m  =  Mass of the moon
   =  .0123 M
r  =  Radius of the moon
   =  .273 R
D  =  Distance from the Earth to the moon
   =  60.3 R
L  =  Distance between the center of mass of the Earth and moon and the center of the Earth
What is L/D?

If we assume that the Earth and moon are spheres of uniform density, what is
Angular momentum of the Earth's spin
Angular momentum of the moon's spin
Angular momentum of the moon's orbit around the Earth


Draw a diagram of a fission reactor. Describe the events of the 3 Mile Island, Chernobyl, and the Fukushima disasters.
How many protons and neutrons are in an atom of
Hydrogen
Deuterium
Tritium
Carbon-12
Carbon-14
Nitron-14
Uranium-235
Uranium-238
Plutonium-238
Plutonium-239

Draw diagrams showing how to make Plutonium-239 from Uranium-238.


Suppose we have 128 kg of radioactive material with a halflife of 2 years. How much of the original material is left after 6 years?
Challenge projects

Construct timelines for the history of science using Wikipedia.

Contribute to a Wikipedia textbook

Contribute to a wikipedia article.

Design html lecture notes and figures. Find useful animations and figures from the web.

Find useful Apps.

Find youtube videos and other useful content.

Give a scientific presentation to your friends and report on the results. Or, write a facebook post or tweet about science.