Question 1

If  
,  
,and the angle between  
And  
(when the two are drawn starting from the same point)is 60°,what is the scalar product of these two vectors?

Accepted Answer

A) −13 
B) +13 
C) +37 
D) −37 
E) 73 
A) −13 
B) +13 
C) +37 
D) −37 
E) 73

Question 2

A baseball is thrown and lands 120 m away.While the ball is in flight,assuming the effect of air friction is negligible,which of the following is true?

Accepted Answer

A) At maximum height the ball has its greatest kinetic energy. 
B) The horizontal component of the baseball's kinetic energy is constant. 
C) The vertical component of the baseball's kinetic energy is constant. 
D) The mechanical energy of the baseball is greater when nearer to the ground. 
E) No answer above is correct. 
A) At maximum height the ball has its greatest kinetic energy. 
B) The horizontal component of the baseball's kinetic energy is constant. 
C) The vertical component of the baseball's kinetic energy is constant. 
D) The mechanical energy of the baseball is greater when nearer to the ground. 
E) No answer above is correct.

Question 3

A 2.0-kg block sliding on a frictionless horizontal surface is attached to one end of a horizontal spring (k = 600 N/m)which has its other end fixed.The speed of the block when the spring is extended 20 cm is equal to 3.0 m/s.What is the maximum speed of this block as it oscillates?

Accepted Answer

A) 4.6 m/s 
B) 5.3 m/s 
C) 5.7 m/s 
D) 4.9 m/s 
E) 3.5 m/s 
A) 4.6 m/s 
B) 5.3 m/s 
C) 5.7 m/s 
D) 4.9 m/s 
E) 3.5 m/s

Question 4

A 5.0-kg object is pulled along a horizontal surface at a constant speed by a 15-N force acting 20° above the horizontal.How much work is done by this force as the object moves 6.0 m?

Accepted Answer

A) 78 J 
B) 82 J 
C) 85 J 
D) 74 J 
E) 43 J 
A) 78 J 
B) 82 J 
C) 85 J 
D) 74 J 
E) 43 J

Question 5

If the vectors  
And  
Have magnitudes of 10 and 11,respectively,and the scalar product of these two vectors is −100,what is the magnitude of the sum of these two vectors?

Accepted Answer

A) 6.6 
B) 4.6 
C) 8.3 
D) 9.8 
E) 7.6 
A) 6.6 
B) 4.6 
C) 8.3 
D) 9.8 
E) 7.6

Question 6

As a 2.0-kg object moves from   m to   m,the constant resultant force acting on it is equal to   N If the speed of the object at the initial position is 4.0 m/s,what is its kinetic energy at its final position?

Accepted Answer

A) 62 J 
B) 53 J 
C) 73 J 
D) 86 J 
E) 24 J 
A) 62 J 
B) 53 J 
C) 73 J 
D) 86 J 
E) 24 J

Question 7

A 20-kg block on a horizontal surface is attached to a light spring (force constant = 8.0 kN/m).The block is pulled 10 cm to the right from its equilibrium position and released from rest.When the block has moved 2.0 cm toward its equilibrium position,its kinetic energy is 13 J.How much work is done by the frictional force on the block as it moves the 2.0 cm?

Accepted Answer

A) −2.5 J 
B) −1.4 J 
C) −3.0 J 
D) −1.9 J 
E) −14 J 
A) −2.5 J 
B) −1.4 J 
C) −3.0 J 
D) −1.9 J 
E) −14 J

Question 8

Each of two vectors,  
And  
,lies along a coordinate axis in the xy plane.Each vector has its tail at the origin,and the dot product of the two vectors is  
)Which possibility is correct?

Accepted Answer

A)    and   both lie along the positive x axis. 
B)    lies along the positive x axis.   lies along the negative x axis. 
C)    and   both lie along the positive y axis. 
D)    lies along the negative x axis.   lies along the negative y axis. 
E)    lies along the positive y axis.   lies along the negative y axis. 
A)    and   both lie along the positive x axis. 
B)    lies along the positive x axis.   lies along the negative x axis. 
C)    and   both lie along the positive y axis. 
D)    lies along the negative x axis.   lies along the negative y axis. 
E)    lies along the positive y axis.   lies along the negative y axis.

Question 9

An object moving along the x axis is acted upon by a force Fx that varies with position as shown.How much work is done by this force as the object moves from x = 2 m to x = 8 m?

Accepted Answer

A) −10 J 
B) +10 J 
C) +30 J 
D) −30 J 
E) +40 J 
A) −10 J 
B) +10 J 
C) +30 J 
D) −30 J 
E) +40 J

Question 10

A moving particle is subject to conservative forces only.When its kinetic energy decreases by 10 J,what happens to its mechanical energy?

Accepted Answer

A) It increases by 10 J. 
B) It decreases by 10 J. 
C) It increases,but not necessarily by 10 J. 
D) It decreases,but not necessarily by 10 J. 
E) It remains the same. 
A) It increases by 10 J. 
B) It decreases by 10 J. 
C) It increases,but not necessarily by 10 J. 
D) It decreases,but not necessarily by 10 J. 
E) It remains the same.

Question 11

If the scalar (dot)product of two vectors is negative,it means that

Accepted Answer

A) there was a calculator error. 
B) the angle between the vectors is less than 90 degrees. 
C) the angle between the vectors is 90 degrees. 
D) the angle between the vectors is greater than 270 degrees. 
E) the angle between the vectors is between 90 and 180 degrees. 
A) there was a calculator error. 
B) the angle between the vectors is less than 90 degrees. 
C) the angle between the vectors is 90 degrees. 
D) the angle between the vectors is greater than 270 degrees. 
E) the angle between the vectors is between 90 and 180 degrees.

Question 12

A 1.5-kg object moving along the x axis has a velocity of +4.0 m/s at x = 0.If the only force acting on this object is shown in the figure,what is the kinetic energy of the object at x = +3.0 m?

Accepted Answer

A) 18 J 
B) 21 J 
C) 23 J 
D) 26 J 
E) 8 J 
A) 18 J 
B) 21 J 
C) 23 J 
D) 26 J 
E) 8 J

Question 13

Sally,who weighs 450 N,stands on a skate board while Roger pushes it forward 13.0 m at constant velocity on a level straight street.He applies a constant 100 N force.

Accepted Answer

A) The work Roger does on the skateboard is 0 J. 
B) The work Roger does on the skateboard is 1 300 J. 
C) The work Sally does on the skateboard is 1 300 J. 
D) The work Sally does on the skateboard is 5 850 J. 
E) The work Roger does on the skateboard is 5 850 J. 
A) The work Roger does on the skateboard is 0 J. 
B) The work Roger does on the skateboard is 1 300 J. 
C) The work Sally does on the skateboard is 1 300 J. 
D) The work Sally does on the skateboard is 5 850 J. 
E) The work Roger does on the skateboard is 5 850 J.

Question 14

The only force acting on a 1.8-kg body as it moves along the x axis is given by Fx = −(3.0x)N,where x is in m.If the velocity of the body at x = 0 is vx = +8.0 m/s,at what value of x will the body have a velocity of +4.0 m/s?

Accepted Answer

A) 5.7 m 
B) 5.4 m 
C) 4.8 m 
D) 4.1 m 
E) 6.6 m 
A) 5.7 m 
B) 5.4 m 
C) 4.8 m 
D) 4.1 m 
E) 6.6 m

Exam 7: Energy of a System

If , ,and the angle between And (when the two are drawn starting from the same point)is 60°,what is the scalar product of these two vectors?

A baseball is thrown and lands 120 m away.While the ball is in flight,assuming the effect of air friction is negligible,which of the following is true?

A 2.0-kg block sliding on a frictionless horizontal surface is attached to one end of a horizontal spring (k = 600 N/m)which has its other end fixed.The speed of the block when the spring is extended 20 cm is equal to 3.0 m/s.What is the maximum speed of this block as it oscillates?

A 5.0-kg object is pulled along a horizontal surface at a constant speed by a 15-N force acting 20° above the horizontal.How much work is done by this force as the object moves 6.0 m?

If the vectors And Have magnitudes of 10 and 11,respectively,and the scalar product of these two vectors is −100,what is the magnitude of the sum of these two vectors?

As a 2.0-kg object moves from m to m,the constant resultant force acting on it is equal to N If the speed of the object at the initial position is 4.0 m/s,what is its kinetic energy at its final position?

Each of two vectors, And ,lies along a coordinate axis in the xy plane.Each vector has its tail at the origin,and the dot product of the two vectors is )Which possibility is correct?

An object moving along the x axis is acted upon by a force Fx that varies with position as shown.How much work is done by this force as the object moves from x = 2 m to x = 8 m?

A moving particle is subject to conservative forces only.When its kinetic energy decreases by 10 J,what happens to its mechanical energy?

If the scalar (dot)product of two vectors is negative,it means that

A 1.5-kg object moving along the x axis has a velocity of +4.0 m/s at x = 0.If the only force acting on this object is shown in the figure,what is the kinetic energy of the object at x = +3.0 m?

Sally,who weighs 450 N,stands on a skate board while Roger pushes it forward 13.0 m at constant velocity on a level straight street.He applies a constant 100 N force.

The only force acting on a 1.8-kg body as it moves along the x axis is given by Fx = −(3.0x)N,where x is in m.If the velocity of the body at x = 0 is vx = +8.0 m/s,at what value of x will the body have a velocity of +4.0 m/s?

Physics and Measurement

Motion in One Dimension

Vectors

Motion in Two Dimensions

The Laws of Motion

Circular Motion and Other Applications of Newtons Laws

Conservation of Energy

Linear Momentum and Collisions

Rotation of a Rigid Object About a Fixed Axis

Angular Momentum

Static Equilibrium and Elasticity

Universal Gravitation

Fluid Mechanics

Oscillatory Motion

Wave Motion

Sound Waves

Superposition and Standing Waves

Temperature

The First Law of Thermodynamics

The Kinetic Theory of Gases

Heat Engines, entropy, and the Second Law of Thermodynamics

Electric Fields

Gausss Law

Electric Potential

Capacitance and Dielectrics

Current and Resistance

Direct-Current Circuits

Magnetic Fields

Sources of the Magnetic Field

Faradays Law

Inductance

Alternating-Current Circuits

Electromagnetic Waves

The Nature of Light and the Principles of Ray Optics

Image Formation

Wave Optics

Diffraction Patterns and Polarization

Relativity

Introduction to Quantum Physics

Quantum Mechanics

Atomic Physics

Molecules and Solids

Nuclear Structure

Applications of Nuclear Physics

Particle Physics and Cosmology

Filters

An object moving along the x axis is acted upon by a force F_x that varies with position as shown.How much work is done by this force as the object moves from x = 2 m to x = 8 m?

The only force acting on a 1.8-kg body as it moves along the x axis is given by F_x = −(3.0x)N,where x is in m.If the velocity of the body at x = 0 is v_x = +8.0 m/s,at what value of x will the body have a velocity of +4.0 m/s?