Exam 1: Introduction and Mathematical Concepts

The mathematical relationship between three physical quantities is given by . If the dimension of b is; and the dimension of c is [L]. Which one of the following choices is the dimension of a?

Two vectors, = and , are added together to form the vector = + . The relationship between the magnitudes of these vectors is given by: C_x = 0, C_y = A sin 60° + B sin 30° A_x and Ay point in the positive x and y directions, respectively. -Which one of the following statements best describes the orientation of vectors 11ea7e4c_68cb_9d4a_9a0a_67e6d0fd4d4a_TB3413_11 and 11ea7e4c_68cb_9d4b_9a0a_8503451eea8e_TB3413_11.

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?

What is the angle between the vectors and - when they are drawn from a common origin?

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?

A physics text has 544 sheets (1088 pages) and is 34.3 millimeters thick between the inside front cover and the inside back cover. What is the thickness of a single sheet?

Which one of the following choices is a vector quantity?

A candy shop sells a pound of chocolate for $ 10.85. What is the price of 1.50 kg of chocolate at the shop?

The table gives the x and y components of two vectors and : -Determine the magnitude of the vector difference, - .

The table gives the x and y components of two vectors and : -Determine the magnitude of the vector sum, + .

In the sport of horseshoe pitching, two stakes are 40.0 feet apart. What is the distance in meters between the two stakes?

The table gives the x and y components of two vectors and : -Which one of the following statements concerning these vectors is true?

Which one of the following expressions may be used to correctly find the angle $\theta$ in the drawing?

City A lies 30 km directly south of city B. A bus, beginning at city A travels 50 km at 37° north of east to reach city C. How far and in what direction must the bus go from city C to reach city B?

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?

Which one of the following choices is equivalent to 152 m?

Two vectors and are added together to form a vector . The relationship between the magnitudes of the vectors is given by A + B = C. Which one of the following statements concerning these vectors is true?

A boat radioed a distress call to a Coast Guard station. At the time of the call, a vector A from the station to the boat had a magnitude of 45.0 km and was directed 15.0° east of north. A vector from the station to the point where the boat yxas later found is =30.0 km, 15.0° north of east. -What are the components of the vector from the point where the distress call was made to the point where the boat was found? In other words, what are the components of vector = - ? x component y component

A physics student adds two displacement vectors with magnitudes of 8.0 km and 6.0 km. Which one of the following statements is true concerning the magnitude of the resultant displacement?

A displacement vector is 23 km in length and directed 65° south of east. What are the components of this vector? Eastward Component Southward Component