Exam 1: Introduction and Mathematical Concepts

Which one of the following answers would give the correct number of significant figures when the following masses are added together: 3.6 kg, 113 kg, and 4.19 kg?

How does the magnitude of compare with that of ?

During the execution of a play, a football player carries the ball for a distance of 33 m in the direction 58° north of east.To determine the number of meters gained on the play, find the northward component of the ball's displacement.

A sailboat leaves a harbor and sails 1.8 km in the direction 65° south of east, where the captain stops for lunch.A short time later, the boat sails 1.1 km in the direction 15° north of east.What is the magnitude of the resultant displacement from the harbor?

Complete the following statement: Today, the standard meter is defined in terms of

Determine the magnitude of the vector sum, + .

A vector has a magnitude of 40.0 units and points 35.0° above the positive x axis.A second vector has a magnitude of 65.0 units and points in the negative x direction.Use the component method of vector addition to find the magnitude and direction, relative to the positive x axis, of the resultant = + .

Two vectors and , are added together to form the vector = + .The relationship between the magnitudes of these vectors is given by: C_x = A cos 30° + B and C_y = -A sin 30°.Which statement best describes the orientation of these vectors?

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?

The distance d that a certain particle moves may be calculated from the expression d = at + bt² where a and b are constants; and t is the elapsed time.What must the dimensions of the quantities a and b be, respectively?

Justine and her friends exit the physics classroom and walk 0.70 km to their math class.While walking, Justine's average step length is 58 cm.Approximately, how many steps does she take in walking between these two classes?

Four members of the Main Street Bicycle Club meet at a certain intersection on Main Street.The members then start from the same location, but travel in different directions.A short time later, displacement vectors for the four members are: = 2.0 km, east; = 5.2 km, north; = 4.9 km, west; = 3.0 km, south What is the resultant displacement of the members of the bicycle club: = + + + ?

Which one of the following choices is equivalent to 44.5 mm?

Which one of the following statements is true concerning scalar quantities?

Three vectors , , and add together to yield zero: + + = 0.The vectors and point in opposite directions and their magnitudes are related by the expression: A = 2C.Which one of the following conclusions is correct?

What is the minimum number of vectors with unequal magnitudes whose vector sum can be zero?

Use the component method of vector addition to find the components of the resultant of the four displacements shown in the figure.The magnitudes of the displacements are: A = 2.25 cm, B = 6.35 cm, C = 5.47 cm, and D = 4.19 cm. x component y component

Two displacement vectors of magnitudes 21 cm and 79 cm are added.Which one of the following is the only possible choice for the magnitude of the resultant?

In a diving competition, a woman dives from a platform that is ten meters above the surface of the water.What is the height, expressed in feet, of the platform?

Which one of the following is the longest length?