Question

1. One carat is equivalent to a mass of 0.200 g. Use the fact that 1 kg (1000 g) has a weight of 2.205 lb under certain conditions, and determine the weight of a 2706 carat diamond in pounds (lb).
Number________Units_______

2.

A pole is held vertically by attaching wires at a height of 13.4 m above the ground. The other end of each wire is anchored in the ground at a distance of 9.54 m from the base of the pole. The pole makes a right angle with the ground. What is the length of each wire?

14.1

22.8

19.7

11.5

16.4

3.

Which expression is false concerning the vectors shown in the sketch?

C→= A→ + B→

C < A + B

A2 + B2 = C2

A→ + B→ + C→ = 0

C→ + A→= – B→

4.

Town A lies 20 km north of town B. Town C lies 13 km west of town A. A small plane flies directly from town B to town C. What is the displacement of the plane?

24 km, 57° north of west

33 km, 33° north of west

31 km, 57° north of west

19 km, 33° north of west

6.6 km, 40° north of west

Answer 1