Quiz 1: Physics 161                              Name:_________________________

                        Summer I’02

                        E. Gortcheva

 

 

 

1. An unusual spring has a restoring force given by

\begin{displaymath}F = - k x^3 \, , \end{displaymath}


where F has dimensions of [ML/T2] and x has dimensions of [L], what are the dimensions of k?

 

 

 

 

 

 

 

 

 

 

2. Two vectors starting at the same origin have equal and opposite x-components. Is it possible for the two vectors to be perpendicular to each other? Justify your answer.

 

 

 

 

 

 

 

 

 

 

 

 

 

3. We know the signs of the components of two vectors, A and B, which have equal magnitudes. The signs are: Ax negative; Ay positive; Bx negative; By negative. Which statement is always true?

 

                        a.         A + B = 0.

                        b.         A – B = 0.

                        c.         A – B is perpendicular to A + B.

                        d.         B – A is perpendicular to A – B.

                        e.         The magnitude of A – B equals the magnitude of A + B.