Question 1

When a ball rises vertically to a height h and returns to its original point of projection,the work done by the gravitational force is

Accepted Answer

A) 0. 
B) −mgh. 
C) +mgh. 
D) −2mgh. 
E) +2mgh. 
A) 0. 
B) −mgh. 
C) +mgh. 
D) −2mgh. 
E) +2mgh. A

Question 2

The only force acting on a 2.0-kg body moving along the x axis is given by Fx = (2.0x)N,where x is in m.If the velocity of the object at x = 0 is +3.0 m/s,how fast is it moving at x = 2.0 m?

Accepted Answer

A) 4.2 m/s 
B) 3.6 m/s 
C) 5.0 m/s 
D) 5.8 m/s 
E) 2.8 m/s 
A) 4.2 m/s 
B) 3.6 m/s 
C) 5.0 m/s 
D) 5.8 m/s 
E) 2.8 m/s B

Question 3

For the potential   
,find the stable equilibrium point,if any.

Accepted Answer

The answer of For the potential   
,find the...

Question 4

A mass attached to the end of a spring is pulled out and released on a surface with friction.The work  
Done on the mass by the force exerted by the spring

Accepted Answer

A) never has the same sign as the change in energy owing to friction. 
B) always has the same sign as the change in energy owing to friction. 
C) has the same sign as the change in energy owing to friction during one half of each cycle. 
D) never has the same sign as the change in energy owing to friction if the force of friction is greater than the spring force. 
E) always has the same sign as the change in energy owing to friction if the force of friction is greater than the spring force. 
A) never has the same sign as the change in energy owing to friction. 
B) always has the same sign as the change in energy owing to friction. 
C) has the same sign as the change in energy owing to friction during one half of each cycle. 
D) never has the same sign as the change in energy owing to friction if the force of friction is greater than the spring force. 
E) always has the same sign as the change in energy owing to friction if the force of friction is greater than the spring force.

Question 5

If  
= 10,  
= 15,and α = 130°,determine the scalar product of the two vectors shown.

Accepted Answer

A) +96 
B) −96 
C) +51 
D) −51 
E) −35 
A) +96 
B) −96 
C) +51 
D) −51 
E) −35

Question 6

Carts A and B have equal masses and travel equal distances D on side-by-side straight frictionless tracks while a constant force F acts on A and a constant force 2F acts on B.Both carts start from rest.The velocities  
A and  
B of the bodies at the end of distance D are related by

Accepted Answer

A)    B =   A . 
B)    B =     A. 
C)    B = 2   A. 
D)    B = 4   A. 
E)    A = 2   B. 
A)    B =   A . 
B)    B =     A. 
C)    B = 2   A. 
D)    B = 4   A. 
E)    A = 2   B.

Question 7

If  
= 6)0,  
= 5)0,and α = 40°,determine the scalar product of the two vectors shown.

Accepted Answer

A) +19 
B) +23 
C) −19 
D) −23 
E) +30 
A) +19 
B) +23 
C) −19 
D) −23 
E) +30

Question 8

A body moving along the x axis is acted upon by a force Fx that varies with x as shown.How much work is done by this force as the object moves from x = 1 m to x = 8 m?

Accepted Answer

A) −2 J 
B) −18 J 
C) −10 J 
D) −26 J 
E) +18 J 
A) −2 J 
B) −18 J 
C) −10 J 
D) −26 J 
E) +18 J

Question 9

How much work is done by a person lifting a 2.0-kg object from the bottom of a well at a constant speed of 2.0 m/s for 5.0 s?

Accepted Answer

A) 0.22 kJ 
B) 0.20 kJ 
C) 0.24 kJ 
D) 0.27 kJ 
E) 0.31 kJ 
A) 0.22 kJ 
B) 0.20 kJ 
C) 0.24 kJ 
D) 0.27 kJ 
E) 0.31 kJ

Question 10

Two identical springs with spring constant 50 N/m support a 5.0 N weight as in the picture below.What is the change in length of each spring when the weight is hung on the springs?

Accepted Answer

A) 2.9 cm 
B) 5.0 cm 
C) 5.8 cm 
D) 7.5 cm 
E) 10.0 cm 
A) 2.9 cm 
B) 5.0 cm 
C) 5.8 cm 
D) 7.5 cm 
E) 10.0 cm

Question 11

If vectors  
And  
Have magnitudes 12 and 15,respectively,and the angle between the two when they are drawn starting from the same point is 110°,what is the scalar product of these two vectors?

Accepted Answer

A) −76 
B) −62 
C) −90 
D) −47 
E) −170 
A) −76 
B) −62 
C) −90 
D) −47 
E) −170

Question 12

The equation below is the solution to a physics problem:  
)
The most likely physical situation it describes is

Accepted Answer

A) a 2.30 kg cart rolling up a 30° incline. 
B) a 2.30 kg cart rolling down a 30° incline. 
C) a 2.30 kg cart rolling up a 60° incline. 
D) a 2.30 kg cart rolling down a 60° incline. 
E) a 2.30 kg cart rolling down a 90° incline. 
A) a 2.30 kg cart rolling up a 30° incline. 
B) a 2.30 kg cart rolling down a 30° incline. 
C) a 2.30 kg cart rolling up a 60° incline. 
D) a 2.30 kg cart rolling down a 60° incline. 
E) a 2.30 kg cart rolling down a 90° incline.

Question 13

A 2.0-kg block situated on a frictionless incline is connected to a light spring (k = 100 N/m),as shown.The block is released from rest when the spring is unstretched.The pulley is frictionless and has negligible mass.What is the speed of the block when it has moved 0.20 m down the plane?

Accepted Answer

A) 76 cm/s 
B) 68 cm/s 
C) 60 cm/s 
D) 82 cm/s 
E) 57 cm/s 
A) 76 cm/s 
B) 68 cm/s 
C) 60 cm/s 
D) 82 cm/s 
E) 57 cm/s

Question 14

The force of static friction exerted on an automobile's tires by the ground

Accepted Answer

A) provides the accelerating force that makes the car move forward. 
B) does positive work on the car while it is accelerating. 
C) does negative work on the car while it is decelerating. 
D) does everything listed in (a), (b)and (c). 
E) only does positive or negative work as in (b)or (c). 
A) provides the accelerating force that makes the car move forward. 
B) does positive work on the car while it is accelerating. 
C) does negative work on the car while it is decelerating. 
D) does everything listed in (a), (b)and (c). 
E) only does positive or negative work as in (b)or (c).

Question 15

A constant force of 12 N in the positive x direction acts on a 4.0-kg object as it moves from the origin to the point  
m.How much work is done by the given force during this displacement?

Accepted Answer

A) +60 J 
B) +84 J 
C) +72 J 
D) +48 J 
E) +57 J 
A) +60 J 
B) +84 J 
C) +72 J 
D) +48 J 
E) +57 J

Question 16

A baseball outfielder throws a baseball of mass 0.15 kg at a speed of 40 m/s and initial angle of 30°.What is the kinetic energy of the baseball at the highest point of the trajectory?

Accepted Answer

The answer of A baseball outfielder throws a baseball of...

Question 17

A force acting on an object moving along the x axis is given by Fx = (14x − 3.0x2)N where x is in m.How much work is done by this force as the object moves from x = −1 m to x = +2 m?

Accepted Answer

A) +12 J 
B) +28 J 
C) +40 J 
D) +42 J 
E) −28 J 
A) +12 J 
B) +28 J 
C) +40 J 
D) +42 J 
E) −28 J

Question 18

Planets go around the sun in elliptical orbits.The highly exaggerated diagram below shows a portion of such an orbit and the force on the planet at one position along that orbit.The planet is moving to the right.F|| and  
Are the components of the force parallel (tangential)and perpendicular (normal)to the orbit.The work they do is W|| and  
)At the position shown

Accepted Answer

A) W|| slows the planet down;   speeds it up. 
B) W|| slows the planet down;   does no work on it. 
C) W|| speeds the planet up;   does no work on it. 
D) W|| speeds the planet up;   slows it down. 
E) W|| does no work on it;   speeds the planet up. 
A) W|| slows the planet down;   speeds it up. 
B) W|| slows the planet down;   does no work on it. 
C) W|| speeds the planet up;   does no work on it. 
D) W|| speeds the planet up;   slows it down. 
E) W|| does no work on it;   speeds the planet up.

Question 19

Two cannonballs are dropped from a second floor physics lab at height h above the ground.Ball B has four times the mass of ball A.When the balls pass the bottom of a first floor window at height  
Above the ground,the relation between their kinetic energies,KA and KB,is

Accepted Answer

A) KA = 4KB. 
B) KA = 2KB. 
C) KA = KB. 
D) KB = 2KA. 
E) KB = 4KA. 
A) KA = 4KB. 
B) KA = 2KB. 
C) KA = KB. 
D) KB = 2KA. 
E) KB = 4KA.

Question 20

The only force acting on a 2.0-kg body as it moves along the x axis is given by Fx = (12 − 2.0x)N,where x is in m.The velocity of the body at x = 2.0 m is 5.5  
m/s.What is the maximum kinetic energy attained by the body while moving in the +x direction?

Accepted Answer

A) 36 J 
B) 39 J 
C) 43 J 
D) 46 J 
E) 30 J 
A) 36 J 
B) 39 J 
C) 43 J 
D) 46 J 
E) 30 J

Exam 7: Energy of a System

When a ball rises vertically to a height h and returns to its original point of projection,the work done by the gravitational force is

The only force acting on a 2.0-kg body moving along the x axis is given by Fx = (2.0x)N,where x is in m.If the velocity of the object at x = 0 is +3.0 m/s,how fast is it moving at x = 2.0 m?

For the potential ,find the stable equilibrium point,if any.

A mass attached to the end of a spring is pulled out and released on a surface with friction.The work Done on the mass by the force exerted by the spring

If = 10, = 15,and α = 130°,determine the scalar product of the two vectors shown.

Carts A and B have equal masses and travel equal distances D on side-by-side straight frictionless tracks while a constant force F acts on A and a constant force 2F acts on B.Both carts start from rest.The velocities A and B of the bodies at the end of distance D are related by

If = 6)0, = 5)0,and α = 40°,determine the scalar product of the two vectors shown.

A body moving along the x axis is acted upon by a force Fx that varies with x as shown.How much work is done by this force as the object moves from x = 1 m to x = 8 m?

How much work is done by a person lifting a 2.0-kg object from the bottom of a well at a constant speed of 2.0 m/s for 5.0 s?

Two identical springs with spring constant 50 N/m support a 5.0 N weight as in the picture below.What is the change in length of each spring when the weight is hung on the springs?

If vectors And Have magnitudes 12 and 15,respectively,and the angle between the two when they are drawn starting from the same point is 110°,what is the scalar product of these two vectors?

The equation below is the solution to a physics problem: ) The most likely physical situation it describes is

A 2.0-kg block situated on a frictionless incline is connected to a light spring (k = 100 N/m),as shown.The block is released from rest when the spring is unstretched.The pulley is frictionless and has negligible mass.What is the speed of the block when it has moved 0.20 m down the plane?

The force of static friction exerted on an automobile's tires by the ground

A constant force of 12 N in the positive x direction acts on a 4.0-kg object as it moves from the origin to the point m.How much work is done by the given force during this displacement?

A baseball outfielder throws a baseball of mass 0.15 kg at a speed of 40 m/s and initial angle of 30°.What is the kinetic energy of the baseball at the highest point of the trajectory?

A force acting on an object moving along the x axis is given by Fx = (14x − 3.0x2)N where x is in m.How much work is done by this force as the object moves from x = −1 m to x = +2 m?

Two cannonballs are dropped from a second floor physics lab at height h above the ground.Ball B has four times the mass of ball A.When the balls pass the bottom of a first floor window at height Above the ground,the relation between their kinetic energies,KA and KB,is

The only force acting on a 2.0-kg body as it moves along the x axis is given by Fx = (12 − 2.0x)N,where x is in m.The velocity of the body at x = 2.0 m is 5.5 m/s.What is the maximum kinetic energy attained by the body while moving in the +x direction?

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The only force acting on a 2.0-kg body moving along the x axis is given by F_x = (2.0x)N,where x is in m.If the velocity of the object at x = 0 is +3.0 m/s,how fast is it moving at x = 2.0 m?

Carts A and B have equal masses and travel equal distances D on side-by-side straight frictionless tracks while a constant force F acts on A and a constant force 2F acts on B.Both carts start from rest.The velocities _A and _B of the bodies at the end of distance D are related by

A body moving along the x axis is acted upon by a force F_x that varies with x as shown.How much work is done by this force as the object moves from x = 1 m to x = 8 m?

A force acting on an object moving along the x axis is given by F_x = (14x − 3.0x²)N where x is in m.How much work is done by this force as the object moves from x = −1 m to x = +2 m?

Two cannonballs are dropped from a second floor physics lab at height h above the ground.Ball B has four times the mass of ball A.When the balls pass the bottom of a first floor window at height Above the ground,the relation between their kinetic energies,K_A and K_B,is

The only force acting on a 2.0-kg body as it moves along the x axis is given by F_x = (12 − 2.0x)N,where x is in m.The velocity of the body at x = 2.0 m is 5.5 m/s.What is the maximum kinetic energy attained by the body while moving in the +x direction?