Problem

Points

Score

1

20

 

2

10

 

3

20

 

4

10

 

5

10

 

6

20

 

7

10

 

Total

100

 

Physics 214 Spring 2001

Test 1, Feb 20

 

Name______________________

         

              

           

Please show all work as this will be graded for partial credit. 

 

 

1.(2pts each) Note: Some are fill in the blank.

 

a)  T     F          The base unit for mass in the English system is pound.   

 

b)                     120.80 contains ___________ significant figures.

 

c)                     If a particle moves an order of magnitude 4 faster than another particle,

                        it is moving _____________ times as fast as the slower particle.

 

d)                     A vector is a quantity that is specified by both a _____________, and a

                        _________________.

 

e)  T     F          Displacement is a scalar value.

 

f)                      The dot product of two normal vectors is equal to _____________.

 

g)                     The cross product between two vectors results in a ___________ vector.

 

h)                     _____________

 

i)   T     F          In translational motion, all parts of a body undergo the same change in position.

 

j)  T     F          For the special case of constant acceleration we can write:

           

 2.) a)(5pts) Given 1 inch = 2.54 cm, find the number of feet in a meter.

 

 

 

 

b)(5pts)  Convert the Cartesian co-ordinates (-3, 4) to Polar co-ordinates.

 

 

 

3.) For the given vectors A = 2i + j 3k, and B = i + 2j k find:

 

a)(5pts) A 2B

 

 

b)(5pts)

 

 

 

c)(5pts) A B

 

 

 

 

 

 

 

d)(5pts) The angle between the vectors.

 

 

 

 

 

4.(10pts) A ship sails 30 km in the direction 30 W of N, then turns and sails 20 km in the direction

                due west.  Find the magnitude and direction of the resultant displacement.

 

 

 

 

 

 

 

 

 

 

 

 

 

5. (10pts)  A car is initially moving at 185 miles/hour (271.3 feet/sec) when it veers and crashes into a wall.  Find the acceleration and time taken to stop if it crumples in 2 feet.

 

 

 

 

 

 

 

 

 

6.)(5pts each)  Consider the following graph of velocity (m/s) vs. time (sec)

 

                       

             v                                                        

 

              15                                                     

 

              10                                                     

 

                5                                                     

                                                                                   

                                                      t

                  0          5          10          15

 

 

a) Find the average acceleration between t = 0, and t = 15.

 

 

 

b) Where is the acceleration constant?

 

 

c) What is the total displacement from t = 0 to t = 5?

 

 

 

 

d) What is the shape of the displacement graph from t = 5 to t = 15?

 

 

 

7.a) (5pts) When standing on a cliff you drop a rock and estimate that it took 3 seconds for

the rock to hit the lake below.  How far above the water are you standing, and would you jump?

 

 

 

 

 

 

 

b)(5pts)  If you jump, how fast will you be traveling when you hit the water? Answer in miles/hour.

(1 mile = 5280 feet, and you should know this.)