Physics 321 -- Spring 2006

Homework #3, due at beginning of class Wednesday Feb. 1

1.         [3pts] Marion & Thornton: problem 9-4.

When you are finished, check that your answer is reasonable in the limits of theta approaching zero, and theta approaching 2Pi.

2.         [3pts] Marion & Thornton, problem 9-8.

(The angles of the triangle are 45, 45, 90 degrees.)

3.         [4pts] Marion & Thornton, problem 9-9.

Hint:  First calculate the projectile’s velocity and kinetic energy at the instant just before it explodes.  Then use conservation laws to calculate the velocity components immediately after the explosion.

4.         [3pts] Marion & Thornton, problem 9-23. (This is problem 9-21 in Edition 4.)

When you are finished, check that your answer is reasonable in the limits M1 >> M2 and M1 << M2.

5.         [4pts] Marion & Thornton, problem 9-24. (This is problem 9-22 in Edition 4.)

Hint: Use energy conservation. To calculate the kinetic energy, you can first find the Cartesian coordinates (x,y) of the mass, as a function of theta.

6.         [3pts] Marion & Thornton, problem 9-37. (This is problem 9-35 in Edition 4.)

7.         [3pts] Marion & Thornton, problem 9-15.

(Last updated 1/25/2006.)