Question 1

An object has a position given by   = [2.0 m + (5.00 m/s)t]   + [3.0 m - (2.00 m/s2)t2]   , where quantities are in SI units. What is the speed of the object at time

Accepted Answer

A)  6.40 m/s 
B)  9.43 m/s 
C)  7.00 m/s 
D)  7.65 m/s 
E)  13.0 m/s 
A)  6.40 m/s 
B)  9.43 m/s 
C)  7.00 m/s 
D)  7.65 m/s 
E)  13.0 m/s

Question 2

A child throws a ball with an initial speed of 8.00 m/s at an angle of 40.0° above the horizontal. The ball leaves her hand 1.00 m above the ground and experience negligible air resistance.
(a) How far from where the child is standing does the ball hit the ground?
(b) How long is the ball in flight before it hits the ground?

Accepted Answer

(a) 7.46 m

Question 3

An airplane flies between two points on the ground that are 500 km apart. The destination is directly north of the origination of the flight. The plane flies with an air speed of 120 m/s. If a constant wind blows at 10.0 m/s due west during the flight, what direction must the plane fly relative to north to arrive at the destination?

Accepted Answer

A)  4.78° east of north 
B)  4.76° east of north 
C)  85.2° west of north 
D)  4.78° west of north 
E)  4.76° west of north 
A)  4.78° east of north 
B)  4.76° east of north 
C)  85.2° west of north 
D)  4.78° west of north 
E)  4.76° west of north

Question 4

A swimmer heading directly across a river 200 m wide reaches the opposite bank in   during which time she is swept downstream 480 m.
(a) How fast can she swim in still water?
(b) What is the speed of the current?

Accepted Answer

(a) 0.50 m

Question 5

Alice and Tom dive from an overhang into the lake below. Tom simply drops straight down from the edge, but Alice takes a running start and jumps with an initial horizontal velocity of 25 m/s. Neither person experiences any significant air resistance. Compare the time it takes each of them to reach the lake below.

Accepted Answer

A)  Alice reaches the surface of the lake first. 
B)  Tom reaches the surface of the lake first. 
C)  Alice and Tom will reach the surface of the lake at the same time. 
A)  Alice reaches the surface of the lake first. 
B)  Tom reaches the surface of the lake first. 
C)  Alice and Tom will reach the surface of the lake at the same time.

Question 6

A satellite orbits the earth a distance of 1.50 × 107 m above the planet's surface and takes 8.65 hours for each revolution about the earth. The earth's radius is 6.38 × 106 m. The acceleration of this satellite is closest to

Accepted Answer

A)  0.0690 m/s2. 
B)  0.870 m/s2. 
C)  1.91 m/s2. 
D)  2.72 m/s2. 
E)  9.80 m/s2. 
A)  0.0690 m/s2. 
B)  0.870 m/s2. 
C)  1.91 m/s2. 
D)  2.72 m/s2. 
E)  9.80 m/s2.

Question 7

A hobby rocket reaches a height of   and lands   from the launch point with no air resistance. What was the angle of launch?

Accepted Answer

A)  69.0° 
B)  67.4° 
C)  22.6° 
D)  44.8° 
A)  69.0° 
B)  67.4° 
C)  22.6° 
D)  44.8°

Question 8

An object moves in a circle of radius R at constant speed with a period T. If you want to change only the period in order to cut the object's acceleration in half, the new period should be

Accepted Answer

A)  T/4. 
B)  T/2. 
C)  T/   . 
D)  T   . 
E)  4T. 
A)  T/4. 
B)  T/2. 
C)  T/   . 
D)  T   . 
E)  4T.

Question 9

A projectile is fired from point 0 at the edge of a cliff, with initial velocity components of   and   , as shown in the figure. The projectile rises and then falls into the sea at point P. The time of flight of the projectile is 40.0 s, and it experiences no appreciable air resistance in flight. What is the magnitude of the velocity of the projectile 21.0 s after it is fired?

Accepted Answer

The answer of A projectile is fired from point 0...

Question 10

Jan and Len throw identical rocks off a tall building at the same time. The ground near the building is flat. Jan throws her rock straight downward. Len throws his rock downward and outward such that the angle between the initial velocity of the rock and the horizon is 30°. Len throws the rock with a speed twice that of Jan's rock. If air resistance is negligible, which rock hits the ground first?

Accepted Answer

A)  They hit at the same time. 
B)  Jan's rock hits first. 
C)  Len's rock hits first. 
D)  It is impossible to know from the information given. 
A)  They hit at the same time. 
B)  Jan's rock hits first. 
C)  Len's rock hits first. 
D)  It is impossible to know from the information given.

Exam 4: Kinematics in Two Dimensions

An object has a position given by = [2.0 m + (5.00 m/s)t] + [3.0 m - (2.00 m/s2)t2] , where quantities are in SI units. What is the speed of the object at time

A swimmer heading directly across a river 200 m wide reaches the opposite bank in during which time she is swept downstream 480 m. (a) How fast can she swim in still water? (b) What is the speed of the current?

A satellite orbits the earth a distance of 1.50 × 107 m above the planet's surface and takes 8.65 hours for each revolution about the earth. The earth's radius is 6.38 × 106 m. The acceleration of this satellite is closest to

A hobby rocket reaches a height of and lands from the launch point with no air resistance. What was the angle of launch?

An object moves in a circle of radius R at constant speed with a period T. If you want to change only the period in order to cut the object's acceleration in half, the new period should be

Concepts of Motion

Kinematics in One Dimension

Vectors and Coordinate Systems

Force and Motion

Dynamics I: Motion Along a Line

Newtons Third Law

Dynamics Ii: Motion in a Plane

Work and Kinetic Energy

Interactions and Potential Energy

Impulse and Momentum

Rotation of a Rigid Body

Newtons Theory of Gravity

Fluids and Elasticity

Oscillations

Traveling Waves

Superposition

A Macroscopic Description of Matter

Work, Heat, and the First Law of Thermodynamics

The Micromacro Connection

Heat Engines and Refrigerators

Electric Charges and Forces

The Electric Field

Gausss Law

The Electric Potential

Potential and Field

Current and Resistance

Fundamentals of Circuits

The Magnetic Field

Electromagnetic Induction

Electromagnetic Fields and Waves

Ac Circuits

Wave Optics

Ray Optics

Optical Instruments

Relativity

The Foundations of Modern Physics

Quantization

Wave Functions and Uncertainty

One-Dimensional Quantum Mechanics

Atomic Physics

Nuclear Physics

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An object has a position given by = [2.0 m + (5.00 m/s)t] + [3.0 m - (2.00 m/s²)t²] , where quantities are in SI units. What is the speed of the object at time

A satellite orbits the earth a distance of 1.50 × 10⁷ m above the planet's surface and takes 8.65 hours for each revolution about the earth. The earth's radius is 6.38 × 10⁶ m. The acceleration of this satellite is closest to