1.  If the mass and the spring constant on a simple pendulum are each doubled, and the original period of the system was  T, what is the value for the new period of motion?
 
 
 

2.  The force on an object in circular motion is 50 Newtons, while the mass is 5 kilograms and the radius of the circle is 7 meters.  What is the velocity of the object traveling in the circle?
 
 
 

3.  A wave travels at 25 meters per second with a wavelength of 3 meters.  What is the period of motion for this particular wave?
 
 
 

4.  A block of mass 4 kilograms connected to a string performs centripetal motion around a circle of radius 9 meters at approximately 20 meters per second.  What is the tension in the string necessary to maintain this motion?
 
 
 

5.  If you were a hot dog, wouldyou eat yourself?  If so, why?  If not, why not?  Show all work and calculations, junior!!!
 
 

1.  Using the period formula for a simple pendulum, l and g are your experimental variables.  In this case, the period does not change because the mass and the spring constant are not even involved in the equation.
 

2.  Using the basic formula for centripetal motion of an object, the velocity is the only unknown.  By plugging in all the numbers with the correct variables, the velocity is approximately 8.4m/s
 

3.  Using the formula at the bottom of our first page, the frequency of about 8.3 hz can be discovered.  Since the period is 1/f, it is equal to 1/8.3 , or about .12 second.
 

4.  Applying both Newton's laws and the centripetal motion equation, T=mg + mv²/r, the tension is equal to 217.8 Newtons.
 

5.  There are many approaches to this problem. First of all, how exactly does a hot dog eat? Does it have a mouth? Using Wiener Postulate, hot dogs do not have mouths. Therefore, here is where the "I would if I could but I can't so I won't" theorem applies. Why did you bother answering this?