Question 1

What is the power output needed from a motor to lift, in the absence of friction, a mass of 1.5 $\times$ 104 kg 25 m in 6.0 s at constant speed?

Accepted Answer

A)  2.0 $\times$ 106 W 
B)  6.1 $\times$ 105 W 
C)  2.2 $\times$ 104 W 
D)  8.3 $\times$ 105 W 
E)  3.1 $\times$ 105 W 
A)  2.0 $\times$ 106 W 
B)  6.1 $\times$ 105 W 
C)  2.2 $\times$ 104 W 
D)  8.3 $\times$ 105 W 
E)  3.1 $\times$ 105 W

Question 2

The SI unit of energy can be expressed as

Accepted Answer

A)  kg · m/s 
B)  kg · m/s2  
C)  m/(kg · s) 
D)  kg · m · s2  
E)  None of these is correct. 
A)  kg · m/s 
B)  kg · m/s2  
C)  m/(kg · s) 
D)  kg · m · s2  
E)  None of these is correct.

Question 3

The weight of an object on the moon is one-sixth its weight on Earth. A body moving with a given speed on the moon has kinetic energy equal to ______________ it would have if it were moving at the same speed on Earth.

Accepted Answer

A)  the kinetic energy 
B)  1/36 the kinetic energy 
C)  1/6 the kinetic energy 
D)  6 times the kinetic energy 
E)  36 times the kinetic energy 
A)  the kinetic energy 
B)  1/36 the kinetic energy 
C)  1/6 the kinetic energy 
D)  6 times the kinetic energy 
E)  36 times the kinetic energy

Question 4

If vector   = -2   + 3   and a vector   = 4   - 5   , the inner product   ·   is

Accepted Answer

A)  -23 
B)  7 
C)  -7 
D)  23 
E)  17 
A)  -23 
B)  7 
C)  -7 
D)  23 
E)  17

Question 5

As a punishment for being late to a practice session the coach orders her star athlete to run up the stadium steps. The player's mass is 80 kg and it takes one minute for her to run up the 120 steps at a constant rate. If each step is of height 0.5 m, what is the power output of the player?

Accepted Answer

A)  80.0 W 
B)  13.0 W 
C)  1570 W 
D)  785 W 
E)  390 W 
A)  80.0 W 
B)  13.0 W 
C)  1570 W 
D)  785 W 
E)  390 W

Question 6

Use the figure to answer the next question. A light rope runs through two frictionless pulleys of negligible mass. A mass, m, is hung from one of the pulleys and a force, F is applied to one end of the rope so that the mass moves at a constant speed.  
-If the force is applied over a distance, d, the distance the mass moves is

Accepted Answer

A)  0 
B)    d 
C)    d 
D)  d 
E)  2d 
A)  0 
B)    d 
C)    d 
D)  d 
E)  2d

Question 7

Use the figure to answer the question. The graph shows the speed of a light truck of mass 4000 kg coasting on neutral down a level straight road. The truck is slowing down due to air resistance and rolling friction.  
-The net force at 25s is ____ the net force at 5s.

Accepted Answer

A)  less than 
B)  equal to 
C)  greater than 
D)  unable to tell 
E)  depends on what the acceleration is 
A)  less than 
B)  equal to 
C)  greater than 
D)  unable to tell 
E)  depends on what the acceleration is

Question 8

The power developed by a certain engine is a function of time according to
P = 2 + 2t + 3t2
Where the units are SI. The work done by the engine in the interval from t = 0 to t = 2 s is

Accepted Answer

A)  9 J 
B)  10 J 
C)  14 J 
D)  16 J 
E)  18 J 
A)  9 J 
B)  10 J 
C)  14 J 
D)  16 J 
E)  18 J

Question 9

Use the figure to answer the question. The graph shows the speed of a light truck of mass 4000 kg coasting on neutral down a level straight road. The truck is slowing down due to air resistance and rolling friction.  
-Suppose the driver decides to put the truck in gear and steps on the accelerator at 5s. What is the power needed to maintain the speed at 5s?

Accepted Answer

A)  20 kW 
B)  40 kW 
C)  60 kW 
D)  80 kW 
E)  100 kW 
A)  20 kW 
B)  40 kW 
C)  60 kW 
D)  80 kW 
E)  100 kW

Question 10

Consider two engines. The larger is rated at 2 W and the smaller at 1 W. The smaller one can do a certain quantity of work in 2 h. The larger can do twice as much work in a time of

Accepted Answer

A)  30 min 
B)  1 h 
C)  2 h 
D)  4 h 
E)  1.4 h 
A)  30 min 
B)  1 h 
C)  2 h 
D)  4 h 
E)  1.4 h

Question 11

The angle between the vector   =   + 2   + 3   and the y axis is approximately

Accepted Answer

A)  58º 
B)  75º 
C)  17º 
D)  26º 
E)  37º 
A)  58º 
B)  75º 
C)  17º 
D)  26º 
E)  37º

Question 12

Use the figure to answer the question. The graph shows the speed of a light truck of mass 4000 kg coasting on neutral down a level straight road. The truck is slowing down due to air resistance and rolling friction.  
-A vertical light spring stretches a distance h meters when a mass m is hung from it. The spring/mass system is now placed on a horizontal frictionless table and set into oscillation with amplitude h and maximum velocity v. What is the total energy involved in the spring/mass oscillating system.

Accepted Answer

A)    kh2 +   mv2  
B)    kh2 + mgh 
C)    mv2 +   mgh2  
D)  mgh +   kh2 +   mv2  
E)    mv2  
A)    kh2 +   mv2  
B)    kh2 + mgh 
C)    mv2 +   mgh2  
D)  mgh +   kh2 +   mv2  
E)    mv2

Question 13

A constant force of 45 N directed at angle $\theta$ to the horizontal pulls a crate of weight 100 N from one end of a room to another a distance of 4 m. Given that the vertical component of the pulling force is 12 N, calculate the work done by the force in moving the crate.

Accepted Answer

A)  4.1 $\times$ 102 J 
B)  48.0 J 
C)  3.9 $\times$ 102 N/m 
D)  1.7 $\times$ 102 J 
E)  3.9 $\times$ 103 J 
A)  4.1 $\times$ 102 J 
B)  48.0 J 
C)  3.9 $\times$ 102 N/m 
D)  1.7 $\times$ 102 J 
E)  3.9 $\times$ 103 J

Question 14

A mass m = 2.5 kg is sliding along a frictionless table with initial speed v as shown in the figure. It strikes a coiled spring that has a force constant k = 500 N/m and compresses it a distance x2 - x1 = -5.0 cm. The initial speed v of the block was

Accepted Answer

A)  0.71 m/s 
B)  1.0 m/s 
C)  1.4 m/s 
D)  0.50 m/s 
E)  1.7 m/s 
A)  0.71 m/s 
B)  1.0 m/s 
C)  1.4 m/s 
D)  0.50 m/s 
E)  1.7 m/s

Question 15

A 5-kg object slides down a frictionless surface inclined at an angle of 30º from the horizontal. The total distance moved by the object along the plane is 10 meters. The work done on the object by the normal force of the surface is

Accepted Answer

A)  zero 
B)  0.50 kJ 
C)  0.43 kJ 
D)  0.58 kJ 
E)  0.25 kJ 
A)  zero 
B)  0.50 kJ 
C)  0.43 kJ 
D)  0.58 kJ 
E)  0.25 kJ

Question 16

Power P is required to do work W in time interval t. What power is required to do work 3W in time interval 5t?

Accepted Answer

A)  P 
B)  3P 
C)  5P 
D)  5P/3 
E)  3P/5 
A)  P 
B)  3P 
C)  5P 
D)  5P/3 
E)  3P/5

Question 17

A force   acts on a body and produces an acceleration   . The body undergoes a displacement   and attains a velocity   in time t. The instantaneous power being developed at time t is given by

Accepted Answer

A)    ·   
B)    ·   at2  
C)    ·   
D)  (   · 2   ) /t2  
E)    ·   
A)    ·   
B)    ·   at2  
C)    ·   
D)  (   · 2   ) /t2  
E)    ·

Question 18

Egyptian pyramid workers push a 1200-kg block up an incline that has an angle of 69 degrees to the vertical, at a constant speed of 0.5 m/s. The coefficient of kinetic friction between the block and the incline surface is 0.44. How much power must the workers supply?

Accepted Answer

A)  3.1 $\times$ 102 W 
B)  9.3 kW 
C)  4.5 kW 
D)  7.9 kW 
E)  2.4 kW 
A)  3.1 $\times$ 102 W 
B)  9.3 kW 
C)  4.5 kW 
D)  7.9 kW 
E)  2.4 kW

Question 19

A particle moves halfway around a circle of radius R. It is acted on by a radial force of magnitude F. The work done by the radial force is

Accepted Answer

A)  zero 
B)  FR 
C)  F$\pi$R 
D)  2FR 
E)  2$\pi$R 
A)  zero 
B)  FR 
C)  F$\pi$R 
D)  2FR 
E)  2$\pi$R

Question 20

You release an object from rest at a high altitude. If air resistance is considered, the curve that best represents the kinetic energy of the body as a function of the distance fallen is

Accepted Answer

A)  1 
B)  2 
C)  3 
D)  4 
E)  5 
A)  1 
B)  2 
C)  3 
D)  4 
E)  5

What is the power output needed from a motor to lift, in the absence of friction, a mass of 1.5 $\times$ 10⁴ kg 25 m in 6.0 s at constant speed?

The SI unit of energy can be expressed as

The weight of an object on the moon is one-sixth its weight on Earth. A body moving with a given speed on the moon has kinetic energy equal to ______________ it would have if it were moving at the same speed on Earth.

If vector = -2 + 3 and a vector = 4 - 5 , the inner product · is

As a punishment for being late to a practice session the coach orders her star athlete to run up the stadium steps. The player's mass is 80 kg and it takes one minute for her to run up the 120 steps at a constant rate. If each step is of height 0.5 m, what is the power output of the player?

Use the figure to answer the question. The graph shows the speed of a light truck of mass 4000 kg coasting on neutral down a level straight road. The truck is slowing down due to air resistance and rolling friction. -The net force at 25s is ____ the net force at 5s.

The power developed by a certain engine is a function of time according to P = 2 + 2t + 3t² Where the units are SI. The work done by the engine in the interval from t = 0 to t = 2 s is

Consider two engines. The larger is rated at 2 W and the smaller at 1 W. The smaller one can do a certain quantity of work in 2 h. The larger can do twice as much work in a time of

The angle between the vector = + 2 + 3 and the y axis is approximately

A constant force of 45 N directed at angle $\theta$ to the horizontal pulls a crate of weight 100 N from one end of a room to another a distance of 4 m. Given that the vertical component of the pulling force is 12 N, calculate the work done by the force in moving the crate.

A mass m = 2.5 kg is sliding along a frictionless table with initial speed v as shown in the figure. It strikes a coiled spring that has a force constant k = 500 N/m and compresses it a distance x₂ - x₁ = -5.0 cm. The initial speed v of the block was

A 5-kg object slides down a frictionless surface inclined at an angle of 30º from the horizontal. The total distance moved by the object along the plane is 10 meters. The work done on the object by the normal force of the surface is

Power P is required to do work W in time interval t. What power is required to do work 3W in time interval 5t?

A force acts on a body and produces an acceleration . The body undergoes a displacement and attains a velocity in time t. The instantaneous power being developed at time t is given by

Egyptian pyramid workers push a 1200-kg block up an incline that has an angle of 69 degrees to the vertical, at a constant speed of 0.5 m/s. The coefficient of kinetic friction between the block and the incline surface is 0.44. How much power must the workers supply?

A particle moves halfway around a circle of radius R. It is acted on by a radial force of magnitude F. The work done by the radial force is

You release an object from rest at a high altitude. If air resistance is considered, the curve that best represents the kinetic energy of the body as a function of the distance fallen is

Systems of Measurement

Motion in One Dimension

Motion in Two and Three Dimensions

Newtons Laws

Applications of Newtons Laws

Conservation of Energy

Systems of Particles and Conservation of Linear Momentum

Rotation

Conservation of Angular Momentum

Gravity

Static Equilibrium and Elasticity

Fluids

Oscillations

Wave Motion

Superposition and Standing Waves

Temperature and the Kinetic Theory of Gases

Heat and the First Law of Thermodynamics

The Second Law of Thermodynamics

Thermal Properties and Processes

Filters

Exam 6: Work and Energy

What is the power output needed from a motor to lift, in the absence of friction, a mass of 1.5 ×\times× 104 kg 25 m in 6.0 s at constant speed?

The SI unit of energy can be expressed as

The weight of an object on the moon is one-sixth its weight on Earth. A body moving with a given speed on the moon has kinetic energy equal to ______________ it would have if it were moving at the same speed on Earth.

If vector = -2 + 3 and a vector = 4 - 5 , the inner product · is

As a punishment for being late to a practice session the coach orders her star athlete to run up the stadium steps. The player's mass is 80 kg and it takes one minute for her to run up the 120 steps at a constant rate. If each step is of height 0.5 m, what is the power output of the player?

Use the figure to answer the question. The graph shows the speed of a light truck of mass 4000 kg coasting on neutral down a level straight road. The truck is slowing down due to air resistance and rolling friction. -The net force at 25s is ____ the net force at 5s.

The power developed by a certain engine is a function of time according to P = 2 + 2t + 3t2 Where the units are SI. The work done by the engine in the interval from t = 0 to t = 2 s is

Consider two engines. The larger is rated at 2 W and the smaller at 1 W. The smaller one can do a certain quantity of work in 2 h. The larger can do twice as much work in a time of

The angle between the vector = + 2 + 3 and the y axis is approximately

A constant force of 45 N directed at angle θ\thetaθ to the horizontal pulls a crate of weight 100 N from one end of a room to another a distance of 4 m. Given that the vertical component of the pulling force is 12 N, calculate the work done by the force in moving the crate.

A mass m = 2.5 kg is sliding along a frictionless table with initial speed v as shown in the figure. It strikes a coiled spring that has a force constant k = 500 N/m and compresses it a distance x2 - x1 = -5.0 cm. The initial speed v of the block was

A 5-kg object slides down a frictionless surface inclined at an angle of 30º from the horizontal. The total distance moved by the object along the plane is 10 meters. The work done on the object by the normal force of the surface is

Power P is required to do work W in time interval t. What power is required to do work 3W in time interval 5t?

A force acts on a body and produces an acceleration . The body undergoes a displacement and attains a velocity in time t. The instantaneous power being developed at time t is given by

Egyptian pyramid workers push a 1200-kg block up an incline that has an angle of 69 degrees to the vertical, at a constant speed of 0.5 m/s. The coefficient of kinetic friction between the block and the incline surface is 0.44. How much power must the workers supply?

A particle moves halfway around a circle of radius R. It is acted on by a radial force of magnitude F. The work done by the radial force is

You release an object from rest at a high altitude. If air resistance is considered, the curve that best represents the kinetic energy of the body as a function of the distance fallen is

Systems of Measurement

Motion in One Dimension

Motion in Two and Three Dimensions

Newtons Laws

Applications of Newtons Laws

Conservation of Energy

Systems of Particles and Conservation of Linear Momentum

Rotation

Conservation of Angular Momentum

Gravity

Static Equilibrium and Elasticity

Fluids

Oscillations

Wave Motion

Superposition and Standing Waves

Temperature and the Kinetic Theory of Gases

Heat and the First Law of Thermodynamics

The Second Law of Thermodynamics

Thermal Properties and Processes

Filters

What is the power output needed from a motor to lift, in the absence of friction, a mass of 1.5 $\times$ 10⁴ kg 25 m in 6.0 s at constant speed?

The power developed by a certain engine is a function of time according to P = 2 + 2t + 3t² Where the units are SI. The work done by the engine in the interval from t = 0 to t = 2 s is

A constant force of 45 N directed at angle $\theta$ to the horizontal pulls a crate of weight 100 N from one end of a room to another a distance of 4 m. Given that the vertical component of the pulling force is 12 N, calculate the work done by the force in moving the crate.

A mass m = 2.5 kg is sliding along a frictionless table with initial speed v as shown in the figure. It strikes a coiled spring that has a force constant k = 500 N/m and compresses it a distance x₂ - x₁ = -5.0 cm. The initial speed v of the block was