Question 1

A bicycle tire is inflated to a pressure of 93 psi.What is a pressure of 93 psi in the SI unit pascals (Pa)?

Accepted Answer

A) 6.4 * 101 Pa 
B) 1.6 * 102 Pa 
C) 1.6 * 104 Pa 
D) 3.2 * 104 Pa 
E) 6.4 * 105 Pa 
A) 6.4 * 101 Pa 
B) 1.6 * 102 Pa 
C) 1.6 * 104 Pa 
D) 3.2 * 104 Pa 
E) 6.4 * 105 Pa

Question 2

Vector   has a length of 5 and an angle of 30S1U1P1$\circ$S1S1P0 with respect to the positive x-axis.Vector   has a length of 5 and an angle of 150S1U1P1$\circ$S1S1P0 with respect to the positive x-axis.What is the angle with respect to the positive x-axis for the vector   ?

Accepted Answer

A) 90S1U1P1$\circ$S1S1P0 
B) 180S1U1P1$\circ$S1S1P0 
C) 135S1U1P1$\circ$S1S1P0 
D) 30S1U1P1$\circ$S1S1P0 
E) 0S1U1P1$\circ$S1S1P0 
A) 90S1U1P1$\circ$S1S1P0 
B) 180S1U1P1$\circ$S1S1P0 
C) 135S1U1P1$\circ$S1S1P0 
D) 30S1U1P1$\circ$S1S1P0 
E) 0S1U1P1$\circ$S1S1P0

Question 3

A gardener wants to build a circular fence around his vegetable garden.If he has 100 feet (1 ft = 0.3048 m)of wire,what is the maximum area covered?

Accepted Answer

A) 0.0000739 km2 
B) 0.002342 km2 
C) 23.4 km2 
D) 75.2 km2 
E) 81.99 km2 
A) 0.0000739 km2 
B) 0.002342 km2 
C) 23.4 km2 
D) 75.2 km2 
E) 81.99 km2

Question 4

Vector   points along the y axis with length 5.0,vector   makes an angle of 55S1U1P1$\circ$S1S1P0 with respect to the x-axis and has a length of 7.0.What is the length of vector   ?

Accepted Answer

A) 4.1 
B) 12. 
C) 2.0 
D) 35. 
E) 9.9 
A) 4.1 
B) 12. 
C) 2.0 
D) 35. 
E) 9.9

Question 5

The fraction of a cubic kilometer in a cubic millimeter is

Accepted Answer

A) 10-12. 
B) 10-6. 
C) 10-9. 
D) 10-18. 
A) 10-12. 
B) 10-6. 
C) 10-9. 
D) 10-18.

Question 6

A car's gasoline tank has the shape of a right rectangular box having a square base of side 65 cm.Its capacity is 68 liters.If the distance between the top of the tank and the gasoline surface in the tank is 5.60 cm,what volume of gasoline is in the tank? Assume the car is parked on level ground.

Accepted Answer

A) 30.6 liters 
B) 23.0 liters 
C) 44.4 liters 
D) 62.1 liters 
E) 57.8 liters 
A) 30.6 liters 
B) 23.0 liters 
C) 44.4 liters 
D) 62.1 liters 
E) 57.8 liters

Question 7

Given that the formula for Newtonian gravitation is F = Gm1m2/r2,where F is the force,m1 and m2 are masses,and r is a unit of length,what are the units for the gravitational constant G?

Accepted Answer

A) kg3/(ms2) 
B) (m/kg)(m/s)2 
C) kg m/s2 
D) kg2/m2 
A) kg3/(ms2) 
B) (m/kg)(m/s)2 
C) kg m/s2 
D) kg2/m2

Question 8

A vector   with magnitude 25.0 m points along the negative y direction.If it is rotated by 50.0 degrees counterclockwise,what are the components of the vector?

Accepted Answer

A) Ax = 25.0 sin 320S1U1P1$\circ$S1S1P0 and Ay = 25.0 cos 320S1U1P1$\circ$S1S1P0 
B) Ax = 25.0 sin 50.0S1U1P1$\circ$S1S1P0 and Ay = 25.0 cos 50.0S1U1P1$\circ$S1S1P0 
C) Ax = 25.0 cos 50.0S1U1P1$\circ$S1S1P0 and Ay = 25.0 sin 50.0S1U1P1$\circ$S1S1P0 
D) Ax = 25.0 cos 320S1U1P1$\circ$S1S1P0 and Ay = 25.0 sin 320S1U1P1$\circ$S1S1P0 
A) Ax = 25.0 sin 320S1U1P1$\circ$S1S1P0 and Ay = 25.0 cos 320S1U1P1$\circ$S1S1P0 
B) Ax = 25.0 sin 50.0S1U1P1$\circ$S1S1P0 and Ay = 25.0 cos 50.0S1U1P1$\circ$S1S1P0 
C) Ax = 25.0 cos 50.0S1U1P1$\circ$S1S1P0 and Ay = 25.0 sin 50.0S1U1P1$\circ$S1S1P0 
D) Ax = 25.0 cos 320S1U1P1$\circ$S1S1P0 and Ay = 25.0 sin 320S1U1P1$\circ$S1S1P0

Question 9

and   have the same non-zero magnitude.The magnitude of   +   is equal to the magnitude of   -   .What is the angle between   and   ?

Accepted Answer

A) 30 degrees 
B) 45 degrees 
C) 60 degrees 
D) 90 degrees 
A) 30 degrees 
B) 45 degrees 
C) 60 degrees 
D) 90 degrees

Question 10

Vector   has length 15.2 m and is directed along the x-axis.Vector   has length 23.0 m and is directed along the y-axis.Vector   has length 6.3 m and is directed along the -y axis.What is the length of the vector   ?

Accepted Answer

A) 18.4 m 
B) 22.4 m 
C) 24.7 m 
D) 28.3 m 
E) 33.0 m 
A) 18.4 m 
B) 22.4 m 
C) 24.7 m 
D) 28.3 m 
E) 33.0 m

Question 11

A car's gasoline tank has the shape of a right rectangular box having a square base of side 62 cm.Its capacity is 56 liters.If there are 50 liters of gasoline in the tank,what is the distance between the top of the tank and the gasoline surface in the tank? Assume the car is parked on level ground.

Accepted Answer

A) 14.6 cm 
B) 13.0 cm 
C) 22.5 cm 
D) 1.56 cm 
E) 33.5 cm 
A) 14.6 cm 
B) 13.0 cm 
C) 22.5 cm 
D) 1.56 cm 
E) 33.5 cm

Question 12

An American football receiver starts at the 20 yard-line,15 yards to the right of the quarterback.He runs 10 yards forward and then turns to the right and runs 10 yards before catching the ball thrown by the quarterback.If the quarterback is standing on the 15yard-line,how far must he throw the ball?

Accepted Answer

A) 16 yards 
B) 29 yards 
C) 31 yards 
D) 40 yards 
A) 16 yards 
B) 29 yards 
C) 31 yards 
D) 40 yards

Question 13

If A = 17.0079,B = 2.05,and C = 3.1415926,then what is A/B + C?

Accepted Answer

A) 11. 
B) 11.4 
C) 11.44 
D) 11.438 
A) 11. 
B) 11.4 
C) 11.44 
D) 11.438

Question 14

The surface area of a window pane of length 20.5 cm and width 11.9 cm is (given in scientific notation and with the correct number of significant figures):

Accepted Answer

A) 2.4395 * 102 cm2 
B) 2.440 * 102 cm2 
C) 2.44 * 102 cm2 
D) 2.4 * 102 cm2 
E) 2.0 * 102 cm2 
A) 2.4395 * 102 cm2 
B) 2.440 * 102 cm2 
C) 2.44 * 102 cm2 
D) 2.4 * 102 cm2 
E) 2.0 * 102 cm2

Question 15

What is the minimum number of post-it note sheets,length 3.00 inches and width 2.00 inches,you would need to make a straight line from the wall in your dorm room to the door which is 30.0 feet away from the wall?

Accepted Answer

A) 50 
B) 80 
C) 120 
D) 180 
E) 200 
A) 50 
B) 80 
C) 120 
D) 180 
E) 200

Question 16

A vector   with magnitude 25.0 m points along the positive y direction.If it is rotated by 50.0 degrees counterclockwise,what are the components of the vector?

Accepted Answer

A) Ax = 25.0 cos 50.0S1U1P1$\circ$S1S1P0 and Ay = 25.0 sin 50.0S1U1P1$\circ$S1S1P0 
B) Ax = 25.0 cos 140S1U1P1$\circ$S1S1P0 and Ay = 25.0 sin 140S1U1P1$\circ$S1S1P0 
C) Ax = 25.0 sin 140S1U1P1$\circ$S1S1P0 and Ay = 25.0 cos 140S1U1P1$\circ$S1S1P0 
D) Ax = 25.0 tan 50.0S1U1P1$\circ$S1S1P0 and Ay = 25.0 sin 50.0S1U1P1$\circ$S1S1P0 
A) Ax = 25.0 cos 50.0S1U1P1$\circ$S1S1P0 and Ay = 25.0 sin 50.0S1U1P1$\circ$S1S1P0 
B) Ax = 25.0 cos 140S1U1P1$\circ$S1S1P0 and Ay = 25.0 sin 140S1U1P1$\circ$S1S1P0 
C) Ax = 25.0 sin 140S1U1P1$\circ$S1S1P0 and Ay = 25.0 cos 140S1U1P1$\circ$S1S1P0 
D) Ax = 25.0 tan 50.0S1U1P1$\circ$S1S1P0 and Ay = 25.0 sin 50.0S1U1P1$\circ$S1S1P0

Question 17

The answer with the correct number of significant figures to the following calculation: 1.345 * 6.72 + 4.51 is

Accepted Answer

A) 13.5484. 
B) 13.548. 
C) 13.55. 
D) 13.6. 
E) 14 
A) 13.5484. 
B) 13.548. 
C) 13.55. 
D) 13.6. 
E) 14

Question 18

What is the sum of the polar vectors (13;65S1U1P1$\circ$S1S1P0)and (21;135S1U1P1$\circ$S1S1P0)?

Accepted Answer

A) (21.5;23.3S1U1P1$\circ$S1S1P0) 
B) (28.2;109.4S1U1P1$\circ$S1S1P0) 
C) (14.3;43.2S1U1P1$\circ$S1S1P0) 
D) (25.4;-24.3S1U1P1$\circ$S1S1P0) 
E) (12.2;124.2S1U1P1$\circ$S1S1P0) 
A) (21.5;23.3S1U1P1$\circ$S1S1P0) 
B) (28.2;109.4S1U1P1$\circ$S1S1P0) 
C) (14.3;43.2S1U1P1$\circ$S1S1P0) 
D) (25.4;-24.3S1U1P1$\circ$S1S1P0) 
E) (12.2;124.2S1U1P1$\circ$S1S1P0)

Question 19

Given two vectors   and vector   ,that also lies in the xy plane,have the property A = B but   .The vector   is

Accepted Answer

A)    . 
B)    . 
C)    . 
D) All are correct. 
A)    . 
B)    . 
C)    . 
D) All are correct.

Question 20

The measured length of a cylindrical laser beam is 12.1 meters,its measured diameter is 0.00121 meters,and its measured intensity is 1.21 * 105 W/m2.Which of these measurements is the most precise?

Accepted Answer

A) length 
B) diameter 
C) intensity 
D) All three are equally precise. 
A) length 
B) diameter 
C) intensity 
D) All three are equally precise.

Exam 1: Overview

A bicycle tire is inflated to a pressure of 93 psi.What is a pressure of 93 psi in the SI unit pascals (Pa)?

Vector has a length of 5 and an angle of 30 ∘\circ∘ with respect to the positive x-axis.Vector has a length of 5 and an angle of 150 ∘\circ∘ with respect to the positive x-axis.What is the angle with respect to the positive x-axis for the vector ?

A gardener wants to build a circular fence around his vegetable garden.If he has 100 feet (1 ft = 0.3048 m)of wire,what is the maximum area covered?

Vector points along the y axis with length 5.0,vector makes an angle of 55 ∘\circ∘ with respect to the x-axis and has a length of 7.0.What is the length of vector ?

The fraction of a cubic kilometer in a cubic millimeter is

A car's gasoline tank has the shape of a right rectangular box having a square base of side 65 cm.Its capacity is 68 liters.If the distance between the top of the tank and the gasoline surface in the tank is 5.60 cm,what volume of gasoline is in the tank? Assume the car is parked on level ground.

Given that the formula for Newtonian gravitation is F = Gm1m2/r2,where F is the force,m1 and m2 are masses,and r is a unit of length,what are the units for the gravitational constant G?

A vector with magnitude 25.0 m points along the negative y direction.If it is rotated by 50.0 degrees counterclockwise,what are the components of the vector?

and have the same non-zero magnitude.The magnitude of + is equal to the magnitude of - .What is the angle between and ?

Vector has length 15.2 m and is directed along the x-axis.Vector has length 23.0 m and is directed along the y-axis.Vector has length 6.3 m and is directed along the -y axis.What is the length of the vector ?

A car's gasoline tank has the shape of a right rectangular box having a square base of side 62 cm.Its capacity is 56 liters.If there are 50 liters of gasoline in the tank,what is the distance between the top of the tank and the gasoline surface in the tank? Assume the car is parked on level ground.

If A = 17.0079,B = 2.05,and C = 3.1415926,then what is A/B + C?

The surface area of a window pane of length 20.5 cm and width 11.9 cm is (given in scientific notation and with the correct number of significant figures):

What is the minimum number of post-it note sheets,length 3.00 inches and width 2.00 inches,you would need to make a straight line from the wall in your dorm room to the door which is 30.0 feet away from the wall?

A vector with magnitude 25.0 m points along the positive y direction.If it is rotated by 50.0 degrees counterclockwise,what are the components of the vector?

The answer with the correct number of significant figures to the following calculation: 1.345 * 6.72 + 4.51 is

What is the sum of the polar vectors (13;65 ∘\circ∘ )and (21;135 ∘\circ∘ )?

Given two vectors and vector ,that also lies in the xy plane,have the property A = B but .The vector is

The measured length of a cylindrical laser beam is 12.1 meters,its measured diameter is 0.00121 meters,and its measured intensity is 1.21 * 105 W/m2.Which of these measurements is the most precise?

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Given that the formula for Newtonian gravitation is F = Gm₁m₂/r²,where F is the force,m₁ and m₂ are masses,and r is a unit of length,what are the units for the gravitational constant G?

What is the sum of the polar vectors (13;65^$\circ$)and (21;135^$\circ$)?

The measured length of a cylindrical laser beam is 12.1 meters,its measured diameter is 0.00121 meters,and its measured intensity is 1.21 * 10⁵ W/m².Which of these measurements is the most precise?