Exam 1: Introduction and Mathematical Concepts

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?

Using the dimensions given for the variables in the table, determine which one of the following expressions is correct.

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?

Which one of the following pairs of units may not be added together, even after the appropriate unit conversions have been made?

A race car will make one lap around a circular track of radius R. When the car has traveled halfway around the track, what is the magnitude of the car's displacement from the starting point?

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

The mass of a raindrop is 4 milligrams. Which one of the following statements indicates the correct mass of the raindrop in grams?

Which one of the following quantities is a vector quantity?

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

Three vectors , , and have the following x and y components: A_x = 1 m, A_y = 0 m, B_x = 1 m, B_y = 1 m, C_x = 0 m, C_y = -1 m According to the graph, how are , , and combined to result in the vector ?

Three sticks are arranged to form a right triangle. If the lengths of the three sticks are 0.47 m, 0.62 m and 0.78 m, what are the three angles of the triangle?

A 3.0-m ladder leans against a wall and makes an angle with the wall of 28° as shown in the drawing. What is the height h above the ground where the ladder makes contact with the wall?

Which one of the following is an SI base unit?

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?

Which one of the following is the longest length?

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.

The length of each side of a square is 4.0 m. What is the length of the diagonal of the square (shown as a dashed line in the figure)?

Two vectors and are added together to form a vector . The relationship between the magnitudes of the vectors is given by: A² + B² = C². Which statement concerning these vectors is true?

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

A surveyor wants to find the distance across a river. A stake is placed on each bank of the river as shown in the figure. She measures a distance of 30.0 m from one stake to another on the same side of the river, thus finding the third vertex on a right triangle. She then measures the angle $\theta$ and finds it equal to 75.9°. What is the distance across the river?