Math and Physics Review-Moelter
1. =
2.
3. Express your results for the following in scientific notation:
a) b)
4. Evaluate:
5. Find ln(f) given that and .
6. Evaluate: a) b)
7. An angle is measured to be , find .
8. How many seconds are in one year?
9. It is known that
10. For a circle in the plane the area is given by Two circles have different radii. .
11. The earth spins on its axis. How long does it take to spin around once?
12. Several measurements are made of student's heights. What is the average height? (Optional: What is the standard deviation?) Your calculator can probably do these calculations.
Height (in meters): 1.6, 1.8, 1.75, 2.1, 1.65, 1.8, 1.9
13. You are given that
14. Find an expression for
15. Determine an expression for x in terms of M, m, G, and d:
16. A rope is wrapped tightly around the earth (radius 25,000 miles). The rope is cut, 3 feet are added to it and the ends are reconnected. Again it is wrapped evenly around the earth. How much space is now between the earth and the rope?
17. For certain initial conditions the relationship between position and time can be of the form . Find b for the data
shown below. (Do not forget units.)
18. You have already had calculus so you should be able to do the following:
19. A strong person is pushing a box (35 kg) horizontally. The box is accelerating up a frictionless incline (q=34 degrees) at 0.4 m/s2. What is the force applied by the person?
20. A drawer contains 9 red socks and 11 blue socks. It is dark and you are trying to grab a matching pair. What is the minimum number of socks you need to take out to be sure of a matching pair?
21. Some physics and algebra leads to the expression below, find q. (You may ignore units.) We know that q=10-6, L=0.01, m=0.005, g=10, k=10-8, . (You won't be able to isolate q analytically, think of another plan.)
22. For certain charge distributions the electric field is given by E(x)=b/x2. At the location x0, E(x0)=E0. Find E for x=4x0 in terms of E0.
23. Using Kirchoff's loop and junction rules we obtain these equations for the currents in different parts of a circuit. Find I1 and I2.
24. For the triangle shown, a=3 and c=5. Find b, .
25. For the picture shown below, find
26. Be able to sketch the following: (y in meters for t in seconds) over the time interval 0 < t < 2. Be sure to label axes (quantity and units) and indicate the scale.
mjm 9/17/2007 MathPhysRevfor133.doc 1