Question 1

A satellite is in a circular orbit about the Earth at a distance of two Earth radii above the surface.What is the speed of the satellite? (The radius of the Earth is 6.4 × 106 m,and G = 6.67 × 10−11 N × m2/kg2. )

Accepted Answer

A)   2 800 m/s
B)   4 600 m/s
C)   5 600 m/s
D)   16 800 m/s B

Question 2

A ventilation fan has blades 0.50 m long rotating at 20 rpm.What is the centripetal acceleration of a point on the outer tip of a blade?

Accepted Answer

A)   1.1 m/s2
B)   2.2 m/s2
C)   0.55 m/s2
D)   3.3 m/s2 B

Question 3

An object of mass 0.50 kg is transported to the surface of Planet X where the object's weight is measured to be 10 N.The radius of the planet is 4.0 × 106 m.What is the mass of Planet X? (G = 6.67 × 10−11 N × m2/kg2)

Accepted Answer

A)   13 × 1019 kg
B)   17 × 1022 kg
C)   9.6 × 1024 kg
D)   4.8 × 1024 kg D

Question 4

At what angle (relative to the horizontal)should a curve 52 m in radius be banked if no friction is required to prevent the car from slipping when traveling at 10 m/s? (g = 9.8 m/s2)

Accepted Answer

A)   28°
B)   32°
C)   16°
D)   11°

Question 5

A double star system with each star having the mass of the Sun has an orbital period of 1 year.A second double star system,also with each star having the mass of the Sun,has an orbital period of 8 years.If the separation of the stars in the first system is d and the orbits in both cases are circular,what is the separation of the stars in the second system?

Accepted Answer

A)   0.5d
B)   2d
C)   4d
D)   8d

Question 6

At an altitude of 3 times the radius of the Earth,the acceleration due to gravity is

Accepted Answer

A)   g/3.
B)   g/9.
C)   g/27.
D)   not given.

Question 7

In order to train for a high-g environment,an astronaut is placed in a centrifuge of radius several meters and rotated in a horizontal circle at constant speed.In this situation,in which direction is the net force on the astronaut?

Accepted Answer

A)   The net force is down since gravity cannot be turned off.
B)   The net force is horizontal toward the center of the circle.
C)   The net force is between horizontal toward the center of the circle and straight up,the angle depending on the speed and the radius involved.
D)   The net force is zero since the astronaut is moving at constant speed and thus the force has no direction.

Question 8

An object of mass 0.50 kg is transported to the surface of Planet X where the object's weight is measured to be 10 N.The radius of the planet is 4.0 × 106 m.What free fall acceleration will the 0.50 kg object experience when transported to a distance of 2.0 × 106 m from the surface of this planet?

Accepted Answer

A)   90 m/s2
B)   8.9 m/s2
C)   13 m/s2
D)   18 m/s2

Question 9

A 0.40-kg mass,attached to the end of a 0.75-m string,is whirled around in a circular horizontal path.If the maximum tension that the string can withstand is 400 N,then what maximum speed can the mass have if the string is not to break?

Accepted Answer

A)   370 m/s
B)   27 m/s
C)   19 m/s
D)   29 m/s

Question 10

An Earth satellite is orbiting at a distance from the Earth's surface equal to two Earth radii.At this location,the acceleration due to gravity is what factor times the value of g at the Earth's surface?

Accepted Answer

A)   There is no acceleration since the satellite is in orbit.
B)   1/9
C)   1/4
D)   The answer is not given.

Question 11

A point on the rim of a 0.30-m radius rotating wheel has a tangential speed of 4.0 m/s.What is the tangential speed of a point 0.10 m from the center of the same wheel?

Accepted Answer

A)   1.0 m/s
B)   1.3 m/s
C)   2.7 m/s
D)   8.0 m/s

Question 12

An object of mass 0.50 kg is transported to the surface of Planet X where the object's weight is measured to be 10 N.The radius of the planet is 4.0 × 106 m.What free fall acceleration will the 0.50 kg object experience when at the surface of Planet X?

Accepted Answer

A)   48 m/s2
B)   20 m/s2
C)   16 m/s2
D)   40 m/s2

Question 13

An airplane in a wide sweeping "outside" loop can create 0-g inside the aircraft cabin.What must be the radius of curvature of the flight path for an aircraft moving at 180 m/s to create a condition of "weightlessness" inside the aircraft?

Accepted Answer

A)   1150 m
B)   1800 m
C)   2300 m
D)   3300 m

Question 14

A point on the rim of a 0.25-m radius fan blade has centripetal acceleration of 0.20 m/s2.Find the centripetal acceleration of a point 0.1 m from the center of the same wheel.

Accepted Answer

A)   0.01 m/s2
B)   0.02 m/s2
C)   0.04 m/s2
D)   0.08 m/s2

Question 15

Two satellites are monitored as they orbit the Earth;satellite X is four times as far from the Earth's center as is satellite Y.From Kepler's third law one may conclude that the period of revolution of X is what factor times that of Y?

Accepted Answer

A)   1/2
B)   2.0
C)   8.0
D)   22.6

Question 16

How many revolutions per second are needed for a centrifuge to produce an acceleration of 1 200g at a radius arm of 15.0 cm?

Accepted Answer

A)   40.7 rev/s
B)   44.6 rev/s
C)   81.4 rev/s
D)   151 rev/s

Question 17

A 1500-kg car rounds an unbanked curve with a radius of 52 m at a speed of 14 m/s.What minimum coefficient of friction must exist between the road and tires to prevent the car from slipping? (g = 9.8 m/s2)

Accepted Answer

A)   0.18
B)   0.30
C)   0.28
D)   0.38

Question 18

At what speed will a car round a 125 m radius curve,banked at a 45° angle,if no friction is required between the road and tires to prevent the car from slipping? (g = 9.8 m/s2)

Accepted Answer

A)   27 m/s
B)   17 m/s
C)   23 m/s
D)   35 m/s

Question 19

Geosynchronous satellites orbit the Earth at a distance of 42,000 km from the Earth's center.Their angular speed at this height is the same as the rotation rate of the Earth,so they appear stationary at certain locations in the sky.What is the force acting on a 2000-kg satellite at this height? The radius of the Earth is 
)(Hint: Use that gravity behaves as 
) )

Accepted Answer

A)   85 N
B)   333 N
C)   411 N
D)   455 N

Question 20

A careful photographic survey of Jupiter's moon Io by the spacecraft Voyager 1 showed active volcanoes spewing liquid sulfur to heights of 60 km above the surface of this moon.If the value of g on Io is 2.0 m/s2,estimate the speed with which the liquid sulfur left the volcano.

Accepted Answer

A)   120 m/s
B)   240 m/s
C)   490 m/s
D)   970 m/s

Exam 5: Energy: Part A

A satellite is in a circular orbit about the Earth at a distance of two Earth radii above the surface.What is the speed of the satellite? (The radius of the Earth is 6.4 × 10⁶ m,and G = 6.67 × 10−¹¹ N × m²/kg². )

A ventilation fan has blades 0.50 m long rotating at 20 rpm.What is the centripetal acceleration of a point on the outer tip of a blade?

An object of mass 0.50 kg is transported to the surface of Planet X where the object's weight is measured to be 10 N.The radius of the planet is 4.0 × 10⁶ m.What is the mass of Planet X? (G = 6.67 × 10−¹¹ N × m²/kg²)

At what angle (relative to the horizontal) should a curve 52 m in radius be banked if no friction is required to prevent the car from slipping when traveling at 10 m/s? (g = 9.8 m/s²)

At an altitude of 3 times the radius of the Earth,the acceleration due to gravity is

In order to train for a high-g environment,an astronaut is placed in a centrifuge of radius several meters and rotated in a horizontal circle at constant speed.In this situation,in which direction is the net force on the astronaut?

A 0.40-kg mass,attached to the end of a 0.75-m string,is whirled around in a circular horizontal path.If the maximum tension that the string can withstand is 400 N,then what maximum speed can the mass have if the string is not to break?

An Earth satellite is orbiting at a distance from the Earth's surface equal to two Earth radii.At this location,the acceleration due to gravity is what factor times the value of g at the Earth's surface?

A point on the rim of a 0.30-m radius rotating wheel has a tangential speed of 4.0 m/s.What is the tangential speed of a point 0.10 m from the center of the same wheel?

An object of mass 0.50 kg is transported to the surface of Planet X where the object's weight is measured to be 10 N.The radius of the planet is 4.0 × 10⁶ m.What free fall acceleration will the 0.50 kg object experience when at the surface of Planet X?

An airplane in a wide sweeping "outside" loop can create 0-g inside the aircraft cabin.What must be the radius of curvature of the flight path for an aircraft moving at 180 m/s to create a condition of "weightlessness" inside the aircraft?

A point on the rim of a 0.25-m radius fan blade has centripetal acceleration of 0.20 m/s².Find the centripetal acceleration of a point 0.1 m from the center of the same wheel.

Two satellites are monitored as they orbit the Earth;satellite X is four times as far from the Earth's center as is satellite Y.From Kepler's third law one may conclude that the period of revolution of X is what factor times that of Y?

How many revolutions per second are needed for a centrifuge to produce an acceleration of 1 200g at a radius arm of 15.0 cm?

A 1500-kg car rounds an unbanked curve with a radius of 52 m at a speed of 14 m/s.What minimum coefficient of friction must exist between the road and tires to prevent the car from slipping? (g = 9.8 m/s²)

At what speed will a car round a 125 m radius curve,banked at a 45° angle,if no friction is required between the road and tires to prevent the car from slipping? (g = 9.8 m/s²)

A careful photographic survey of Jupiter's moon Io by the spacecraft Voyager 1 showed active volcanoes spewing liquid sulfur to heights of 60 km above the surface of this moon.If the value of g on Io is 2.0 m/s²,estimate the speed with which the liquid sulfur left the volcano.

Exam 5: Energy: Part A

A satellite is in a circular orbit about the Earth at a distance of two Earth radii above the surface.What is the speed of the satellite? (The radius of the Earth is 6.4 × 106 m,and G = 6.67 × 10−11 N × m2/kg2. )

A ventilation fan has blades 0.50 m long rotating at 20 rpm.What is the centripetal acceleration of a point on the outer tip of a blade?

An object of mass 0.50 kg is transported to the surface of Planet X where the object's weight is measured to be 10 N.The radius of the planet is 4.0 × 106 m.What is the mass of Planet X? (G = 6.67 × 10−11 N × m2/kg2)

At what angle (relative to the horizontal) should a curve 52 m in radius be banked if no friction is required to prevent the car from slipping when traveling at 10 m/s? (g = 9.8 m/s2)

At an altitude of 3 times the radius of the Earth,the acceleration due to gravity is

In order to train for a high-g environment,an astronaut is placed in a centrifuge of radius several meters and rotated in a horizontal circle at constant speed.In this situation,in which direction is the net force on the astronaut?

A 0.40-kg mass,attached to the end of a 0.75-m string,is whirled around in a circular horizontal path.If the maximum tension that the string can withstand is 400 N,then what maximum speed can the mass have if the string is not to break?

An Earth satellite is orbiting at a distance from the Earth's surface equal to two Earth radii.At this location,the acceleration due to gravity is what factor times the value of g at the Earth's surface?

A point on the rim of a 0.30-m radius rotating wheel has a tangential speed of 4.0 m/s.What is the tangential speed of a point 0.10 m from the center of the same wheel?

An object of mass 0.50 kg is transported to the surface of Planet X where the object's weight is measured to be 10 N.The radius of the planet is 4.0 × 106 m.What free fall acceleration will the 0.50 kg object experience when at the surface of Planet X?

An airplane in a wide sweeping "outside" loop can create 0-g inside the aircraft cabin.What must be the radius of curvature of the flight path for an aircraft moving at 180 m/s to create a condition of "weightlessness" inside the aircraft?

A point on the rim of a 0.25-m radius fan blade has centripetal acceleration of 0.20 m/s2.Find the centripetal acceleration of a point 0.1 m from the center of the same wheel.

Two satellites are monitored as they orbit the Earth;satellite X is four times as far from the Earth's center as is satellite Y.From Kepler's third law one may conclude that the period of revolution of X is what factor times that of Y?

How many revolutions per second are needed for a centrifuge to produce an acceleration of 1 200g at a radius arm of 15.0 cm?

A 1500-kg car rounds an unbanked curve with a radius of 52 m at a speed of 14 m/s.What minimum coefficient of friction must exist between the road and tires to prevent the car from slipping? (g = 9.8 m/s2)

At what speed will a car round a 125 m radius curve,banked at a 45° angle,if no friction is required between the road and tires to prevent the car from slipping? (g = 9.8 m/s2)

A careful photographic survey of Jupiter's moon Io by the spacecraft Voyager 1 showed active volcanoes spewing liquid sulfur to heights of 60 km above the surface of this moon.If the value of g on Io is 2.0 m/s2,estimate the speed with which the liquid sulfur left the volcano.

A satellite is in a circular orbit about the Earth at a distance of two Earth radii above the surface.What is the speed of the satellite? (The radius of the Earth is 6.4 × 10⁶ m,and G = 6.67 × 10−¹¹ N × m²/kg². )

An object of mass 0.50 kg is transported to the surface of Planet X where the object's weight is measured to be 10 N.The radius of the planet is 4.0 × 10⁶ m.What is the mass of Planet X? (G = 6.67 × 10−¹¹ N × m²/kg²)

At what angle (relative to the horizontal) should a curve 52 m in radius be banked if no friction is required to prevent the car from slipping when traveling at 10 m/s? (g = 9.8 m/s²)

An object of mass 0.50 kg is transported to the surface of Planet X where the object's weight is measured to be 10 N.The radius of the planet is 4.0 × 10⁶ m.What free fall acceleration will the 0.50 kg object experience when at the surface of Planet X?

A point on the rim of a 0.25-m radius fan blade has centripetal acceleration of 0.20 m/s².Find the centripetal acceleration of a point 0.1 m from the center of the same wheel.

A 1500-kg car rounds an unbanked curve with a radius of 52 m at a speed of 14 m/s.What minimum coefficient of friction must exist between the road and tires to prevent the car from slipping? (g = 9.8 m/s²)

At what speed will a car round a 125 m radius curve,banked at a 45° angle,if no friction is required between the road and tires to prevent the car from slipping? (g = 9.8 m/s²)

A careful photographic survey of Jupiter's moon Io by the spacecraft Voyager 1 showed active volcanoes spewing liquid sulfur to heights of 60 km above the surface of this moon.If the value of g on Io is 2.0 m/s²,estimate the speed with which the liquid sulfur left the volcano.