If the mass of Earth is 6 $\times$ 1024 kg, the mass of the moon 7 $\times$ 1022 kg, the radius of the moon's orbit 4 $\times$108 m, and the value of the gravitational constant 6 $\times$ 10-11 N · m2/kg2, the force between Earth and the moon is approximately

A) 5 $\times$ 104 N B) 2 $\times$ 1020 N C) 3 $\times$ 1050 N D) 7 $\times$ 1030 N E) 3 $\times$ 1028 N A) 5 $\times$ 104 N B) 2 $\times$ 1020 N C) 3 $\times$ 1050 N D) 7 $\times$ 1030 N E) 3 $\times$ 1028 N B

Use the following scenario to answer the next problem. NASA's "Weightless Wonder" flights can simulate "zero-g" or some other extraterrestrial gravity by flying a C-9 jet plane in a parabolic path. One path the plane takes is expressed as y = yS1U1B1oS1U1B0 + 0.8 x - 1.02 $\times$ 10S1U1P1-4S1S1P0 xS1U1P12S1S1P0 where yS1U1B1oS1U1B0 is the highest point, and x and y are the horizontal and vertical coordinates (in m). -Suppose yo = 10000 m and the lowest height is 2000 m, how long is the flight with a simulated lunar gravity gMoon = 1.62 m/s2?

A) 44 s B) 100 s C) 40 s D) 60 s E) 66 s A) 44 s B) 100 s C) 40 s D) 60 s E) 66 s A

In a distant galaxy, a planet orbits its sun at a distance of 1.8 $\times$ 1012 m with a period of 108s. A second planet orbits the same sun at a distance of 9 $\times$ 1011 m. What is the period of the second planet?

A) 5 $\times$ 107 s B) 2 $\times$ 108 s C) 0.35 $\times$ 108 s D) 2.8 $\times$ 108 s E) 5 $\times$ 108 s A) 5 $\times$ 107 s B) 2 $\times$ 108 s C) 0.35 $\times$ 108 s D) 2.8 $\times$ 108 s E) 5 $\times$ 108 s

When a falling meteor is at a distance of twice Earth's radius (re = 6.436 $\times$ 106 m) from the surface of Earth, its acceleration due to gravity is approximately

A) 9.80 m/s2 B) 4.90 m/s2 C) 3.27 m/s2 D) 2.45 m/s2 E) 1.09 m/s2 A) 9.80 m/s2 B) 4.90 m/s2 C) 3.27 m/s2 D) 2.45 m/s2 E) 1.09 m/s2

A planet is made of two distinct materials in two layers. From the core to R/2, the density of the material is 4000 kg/m3, and from R/2 to R the density is 3000 kg/m3. What is the mass of the planet if R = 5000 km?

A) 2.62 $\times$ 1023 kg B) 1.37 $\times$ 1024 kg C) 1.64 $\times$ 1024 kg D) 1.57 $\times$ 1024 kg E) 1.87 $\times$ 1024 kg A) 2.62 $\times$ 1023 kg B) 1.37 $\times$ 1024 kg C) 1.64 $\times$ 1024 kg D) 1.57 $\times$ 1024 kg E) 1.87 $\times$ 1024 kg

Exam 11: Gravity

If the mass of Earth is 6 $\times$ 10²⁴ kg, the mass of the moon 7 $\times$ 10²² kg, the radius of the moon's orbit 4 $\times$ 10⁸ m, and the value of the gravitational constant 6 $\times$ 10^-11 N · m²/kg², the force between Earth and the moon is approximately

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Question 1

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Use the following scenario to answer the next problem. NASA's "Weightless Wonder" flights can simulate "zero-g" or some other extraterrestrial gravity by flying a C-9 jet plane in a parabolic path. One path the plane takes is expressed as y = y_o + 0.8 x - 1.02 $\times$ 10^-4 x² where y_o is the highest point, and x and y are the horizontal and vertical coordinates (in m). -Suppose y_o = 10000 m and the lowest height is 2000 m, how long is the flight with a simulated lunar gravity g_Moon = 1.62 m/s²?

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Question 2

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Test masses are used to measure the gravitational field at various positions in and near a hollow spherical shell. The gravitational field will be smallest at point(s)

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Question 3

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An object whose mass is 4 kg experiences a gravitational force of 20 N at some point P. The gravitational field at this point is

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Question 4

The radius of the orbit of Earth around the Sun is 150 $\times$ 10⁶ km. If the orbital periods for Earth and Venus are 365 and 225 days respectively, calculate the radius of orbit for Venus in astronomical units AU.

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Question 5

Earth and Mars are 1.0 AU and 1.52 AU away from the Sun, respectively. Given that the period of Earth's orbit around the Sun is 1 yr, calculate the period of the orbit of Mars around the Sun. (1 AU = 150 $\times$ 10⁶ km)

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Question 6

In a distant galaxy, a planet orbits its sun at a distance of 1.8 $\times$ 10¹² m with a period of 10⁸s. A second planet orbits the same sun at a distance of 9 $\times$ 10¹¹ m. What is the period of the second planet?

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Question 7

The Cavendish experiment has been described in elementary textbooks as "weighing the Earth." In fact, it was designed to measure the

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Question 8

When a falling meteor is at a distance of twice Earth's radius (r_e = 6.436 $\times$ 10⁶ m) from the surface of Earth, its acceleration due to gravity is approximately

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Question 9

In the absence of air resistance, the least speed with which a body must be projected vertically upward from Earth's surface (m_e = 5.99 $\times$ 10²⁴ kg, R_e = 6.37 $\times$ 10⁶ m) if it is to reach an altitude of 800 km is

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Question 10

The acceleration due to gravity at the surface of Earth is g. The radius of Earth is R_E. The distance from the center of Earth to a point where the acceleration due to gravity is g/9 is

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Question 11

A certain object weighs 22.2 N on the surface of Earth. If the radius of the moon is 0.276 times the radius of Earth and the mass of the moon is 0.0123 times the mass of Earth, the object's weight on the surface of the moon is approximately

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Question 12

A planet is made of two distinct materials in two layers. From the core to R/2, the density of the material is 4000 kg/m³, and from R/2 to R the density is 3000 kg/m³. What is the mass of the planet if R = 5000 km?

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Question 13

A plot of the gravitational potential energy of a 1-kg body as a function of its height above the surface of a planet shows that the gravitational acceleration at the surface of the planet is

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Question 14

$The magnitude of the gravitational field at point P, due to the body of mass m, is (G = 6.67 \times 10-11 N·m2/kg2)$ The magnitude of the gravitational field at point P, due to the body of mass m, is (G = 6.67 $\times$ 10^-11 N·m²/kg²)

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Question 15

If the mass of a planet is doubled while its radius and the radius of orbit of its moon remain constant, the speed of the moon is

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Question 16

If the mass of a satellite is doubled while the radius of its orbit remains constant, the speed of the satellite is

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Question 17

A rocket is launched straight up from the surface of Earth with a speed v, such that the rocket reaches a maximum height of R_{E above} the surface. Find the launch speed of the rocket. Neglect air resistance. (R_E = 6.38 $\times$ 10⁶ m, M_E = 5.98 $\times$ 10²⁴ kg, G = 6.67 $\times$ 10^-11 N·m²/kg²)

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Question 18

NASA trains astronauts in "zero-g" by flying a C-9 jet plane in a parabolic path, the so called "Weightless Wonder" or the "Vomit Comet" flights. One path the plane takes is expressed as y = y_o + 0.8 x - 2.18 $\times$ 10^-4 x² where y_o is the highest point, and x and y are the horizontal and vertical coordinates (in m). What is the horizontal speed of the plane?

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Question 19

Earth's gravitational field is given by . The total flux (field times area) for a spherical surface area A that encloses all the field lines is

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Question 20

Showing 1 - 20 of 90

If the mass of Earth is 6 $\times$ 10²⁴ kg, the mass of the moon 7 $\times$ 10²² kg, the radius of the moon's orbit 4 $\times$ 10⁸ m, and the value of the gravitational constant 6 $\times$ 10^-11 N · m²/kg², the force between Earth and the moon is approximately

Test masses are used to measure the gravitational field at various positions in and near a hollow spherical shell. The gravitational field will be smallest at point(s)

An object whose mass is 4 kg experiences a gravitational force of 20 N at some point P. The gravitational field at this point is

The radius of the orbit of Earth around the Sun is 150 $\times$ 10⁶ km. If the orbital periods for Earth and Venus are 365 and 225 days respectively, calculate the radius of orbit for Venus in astronomical units AU.

Earth and Mars are 1.0 AU and 1.52 AU away from the Sun, respectively. Given that the period of Earth's orbit around the Sun is 1 yr, calculate the period of the orbit of Mars around the Sun. (1 AU = 150 $\times$ 10⁶ km)

In a distant galaxy, a planet orbits its sun at a distance of 1.8 $\times$ 10¹² m with a period of 10⁸s. A second planet orbits the same sun at a distance of 9 $\times$ 10¹¹ m. What is the period of the second planet?

The Cavendish experiment has been described in elementary textbooks as "weighing the Earth." In fact, it was designed to measure the

When a falling meteor is at a distance of twice Earth's radius (r_e = 6.436 $\times$ 10⁶ m) from the surface of Earth, its acceleration due to gravity is approximately

In the absence of air resistance, the least speed with which a body must be projected vertically upward from Earth's surface (m_e = 5.99 $\times$ 10²⁴ kg, R_e = 6.37 $\times$ 10⁶ m) if it is to reach an altitude of 800 km is

The acceleration due to gravity at the surface of Earth is g. The radius of Earth is R_E. The distance from the center of Earth to a point where the acceleration due to gravity is g/9 is

A certain object weighs 22.2 N on the surface of Earth. If the radius of the moon is 0.276 times the radius of Earth and the mass of the moon is 0.0123 times the mass of Earth, the object's weight on the surface of the moon is approximately

A planet is made of two distinct materials in two layers. From the core to R/2, the density of the material is 4000 kg/m³, and from R/2 to R the density is 3000 kg/m³. What is the mass of the planet if R = 5000 km?

A plot of the gravitational potential energy of a 1-kg body as a function of its height above the surface of a planet shows that the gravitational acceleration at the surface of the planet is

$The magnitude of the gravitational field at point P, due to the body of mass m, is (G = 6.67 \times 10<sup>-11</sup> N·m<sup>2</sup>/kg<sup>2</sup>)$ The magnitude of the gravitational field at point P, due to the body of mass m, is (G = 6.67 $\times$ 10^-11 N·m²/kg²)

If the mass of a planet is doubled while its radius and the radius of orbit of its moon remain constant, the speed of the moon is

If the mass of a satellite is doubled while the radius of its orbit remains constant, the speed of the satellite is

Earth's gravitational field is given by . The total flux (field times area) for a spherical surface area A that encloses all the field lines is

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Exam 11: Gravity

If the mass of Earth is 6 ×\times× 1024 kg, the mass of the moon 7 ×\times× 1022 kg, the radius of the moon's orbit 4 ×\times× 108 m, and the value of the gravitational constant 6 ×\times× 10-11 N · m2/kg2, the force between Earth and the moon is approximately

Test masses are used to measure the gravitational field at various positions in and near a hollow spherical shell. The gravitational field will be smallest at point(s)

An object whose mass is 4 kg experiences a gravitational force of 20 N at some point P. The gravitational field at this point is

The radius of the orbit of Earth around the Sun is 150 ×\times× 106 km. If the orbital periods for Earth and Venus are 365 and 225 days respectively, calculate the radius of orbit for Venus in astronomical units AU.

Earth and Mars are 1.0 AU and 1.52 AU away from the Sun, respectively. Given that the period of Earth's orbit around the Sun is 1 yr, calculate the period of the orbit of Mars around the Sun. (1 AU = 150 ×\times× 106 km)

In a distant galaxy, a planet orbits its sun at a distance of 1.8 ×\times× 1012 m with a period of 108s. A second planet orbits the same sun at a distance of 9 ×\times× 1011 m. What is the period of the second planet?

The Cavendish experiment has been described in elementary textbooks as "weighing the Earth." In fact, it was designed to measure the

When a falling meteor is at a distance of twice Earth's radius (re = 6.436 ×\times× 106 m) from the surface of Earth, its acceleration due to gravity is approximately

In the absence of air resistance, the least speed with which a body must be projected vertically upward from Earth's surface (me = 5.99 ×\times× 1024 kg, Re = 6.37 ×\times× 106 m) if it is to reach an altitude of 800 km is

The acceleration due to gravity at the surface of Earth is g. The radius of Earth is RE. The distance from the center of Earth to a point where the acceleration due to gravity is g/9 is

A certain object weighs 22.2 N on the surface of Earth. If the radius of the moon is 0.276 times the radius of Earth and the mass of the moon is 0.0123 times the mass of Earth, the object's weight on the surface of the moon is approximately

A planet is made of two distinct materials in two layers. From the core to R/2, the density of the material is 4000 kg/m3, and from R/2 to R the density is 3000 kg/m3. What is the mass of the planet if R = 5000 km?

A plot of the gravitational potential energy of a 1-kg body as a function of its height above the surface of a planet shows that the gravitational acceleration at the surface of the planet is

The magnitude of the gravitational field at point P, due to the body of mass m, is (G = 6.67 ×\times× 10-11 N·m2/kg2)

If the mass of a planet is doubled while its radius and the radius of orbit of its moon remain constant, the speed of the moon is

If the mass of a satellite is doubled while the radius of its orbit remains constant, the speed of the satellite is

Earth's gravitational field is given by . The total flux (field times area) for a spherical surface area A that encloses all the field lines is

Systems of Measurement

Motion in One Dimension

Motion in Two and Three Dimensions

Newtons Laws

Applications of Newtons Laws

Work and Energy

Conservation of Energy

Systems of Particles and Conservation of Linear Momentum

Rotation

Conservation of Angular Momentum

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

If the mass of Earth is 6 $\times$ 10²⁴ kg, the mass of the moon 7 $\times$ 10²² kg, the radius of the moon's orbit 4 $\times$ 10⁸ m, and the value of the gravitational constant 6 $\times$ 10^-11 N · m²/kg², the force between Earth and the moon is approximately

The radius of the orbit of Earth around the Sun is 150 $\times$ 10⁶ km. If the orbital periods for Earth and Venus are 365 and 225 days respectively, calculate the radius of orbit for Venus in astronomical units AU.

Earth and Mars are 1.0 AU and 1.52 AU away from the Sun, respectively. Given that the period of Earth's orbit around the Sun is 1 yr, calculate the period of the orbit of Mars around the Sun. (1 AU = 150 $\times$ 10⁶ km)

In a distant galaxy, a planet orbits its sun at a distance of 1.8 $\times$ 10¹² m with a period of 10⁸s. A second planet orbits the same sun at a distance of 9 $\times$ 10¹¹ m. What is the period of the second planet?

When a falling meteor is at a distance of twice Earth's radius (r_e = 6.436 $\times$ 10⁶ m) from the surface of Earth, its acceleration due to gravity is approximately

In the absence of air resistance, the least speed with which a body must be projected vertically upward from Earth's surface (m_e = 5.99 $\times$ 10²⁴ kg, R_e = 6.37 $\times$ 10⁶ m) if it is to reach an altitude of 800 km is

The acceleration due to gravity at the surface of Earth is g. The radius of Earth is R_E. The distance from the center of Earth to a point where the acceleration due to gravity is g/9 is

A planet is made of two distinct materials in two layers. From the core to R/2, the density of the material is 4000 kg/m³, and from R/2 to R the density is 3000 kg/m³. What is the mass of the planet if R = 5000 km?

$The magnitude of the gravitational field at point P, due to the body of mass m, is (G = 6.67 \times 10<sup>-11</sup> N·m<sup>2</sup>/kg<sup>2</sup>)$ The magnitude of the gravitational field at point P, due to the body of mass m, is (G = 6.67 $\times$ 10^-11 N·m²/kg²)