An asteroid has a mass of 3.66 × 10kg and a radius of 8.2 × 10m. If a 25 kg mass is dropped from 10 m above the “ground” of the asteroid, how long will it take the mass to fall to the ground?

Q: An artificial satellite is traveling 8.0 x 10 m/s in a circular orbit. Assuming g= 9.7 m/s at that…

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Q: A planet of radius 1500 km exerts a gravitional force of 120 N on an object of mass 100 kg that is…

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Q: The moon has a mass of 7.35×1022 kg and a radius of 1.738×106 m. At what speed must a rocket be…

A: Given data: Mass of moon (M) = 7.35×1022 kg Radius (r) = 1.738×106 m Required: Escape velocity (ve)

Q: Assume that planet A has radius RA and mass MA, and planet B has radius Rg and mass Mg. Let gA and…

A: radius of planet A=RAmass of planet A=MAradius of planet B=RBmass of planet B=MB

Q: A satellite circles the earth in an orbit whose radius is 2.20 times the earth's radius. The earth's…

A: Given information:Radius of earth (R) = 6.38 × 106 mRadius of the satellite orbit (r) = 3R = 19.14 ×…

Q: The mass of the moon is 1% of the mass of the earth. The ratio of gravitational pull on moon and…

A: The gravitational force between two objects is defined as F=GM1M2r2 Here F is force, G is…

Q: A rock far outside a solar system similar to ours is initially moving very slowly relative to its…

A:

Q: A satellite of Mars, called Phobos, has an orbital radius of 9.4 x 10° m and a period of 2.8 x 10“…

A: The satellite has an orbital radius of, r= 9.4 × 106 m and a period of T=2.8 x 104 s. It is required…

Q: The dwarf planet Pluto has a radius of 1.15 x 10^6 m and a mass of 1.2x10^22 kg . What is the value…

A: Given data: Radius of Pluto (r) = 1.15x106 m Mass of Pluto (m) = 1.2x1022 kg Need to determine the…

Q: The mass of Jupiter is 314 times that of Earth and the diameter of Jupiter is 11.35 times that of…

A: The equation for the acceleration due to gravity on earth is given by,

Q: An astronaut is in equilibrium when he is positioned 140 km from the center of asteroid X and 581 km…

A: Let the mass of asteroid x = mx Let the mass of asteroid y = my Let mass of astronaut = m Distance…

Q: A satellite circles the earth in an orbit whose radius is 2.23 times the earth's radius. The earth's…

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Q: If G is given by 6.67 X 10-11 and the mass and radius of the Moon are 7.35 x 1022 kg and 1738 km,…

A: Given data: G = 6.67 × 10-11 Nm2/kg2 Mass (M) = 7.35 × 1022 kg Radius (R) = 1738 km Required: The…

Q: A satellite of mass m = 3.94e + 3 kg is in circular orbit around the Earth, and the radius of this…

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Q: A meteoroid is traveling with a velocity of 10.0 km/s directly toward the Earth when it is located 5…

A: v = 10 km/sec= 10000 m/s initial position = 5 R final position = R

Q: An asteroid with mass m = 1.00 x 10^9 %3D kg comes from deep space, effectively from infinity, and…

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Q: Problem 3: A meteoroid is moving towards a planet. It has mass m = 0.66x10° kg and speed vị =…

A: Given that:m=0.66×109 kgv1=3.5×107 m/sR1=3.2×107 mR=0.26×107 mM=7.6×1025 kg

Q: A rocket, launched from the Earth, shuts off its engines when its speed is 5.10 km/s. It reaches a…

A: Given value--- initial speed of rocket = 5.10 km/s. maximum height = 2600 km. mass of earth = 5.97…

Q: A 5.0-kg block is taken to another planet that has the same mass as the Earth. What is the planet's…

A: Mass of the block m=5 kg, let mass of the planet and Earth be M, radius of Earth is R and let radius…

Q: Consider a hypothetical planet whose mass and radius are both half that of Earth. If g is the…

A: Given: The mass of the hypothetical planet is half of the mass of the Earth. The radius of the…

Q: Two spherical asteroids have mass 1= 1.00 x 10^20 kg and mass 2= 3.00 x 10^20 kg. The magnitude of…

A: Gravitational Force            F= Gm1 m2/ r2 m1= mass of 1st astroid m2= mass of 2nd astroid r =…

Q: What is the magnitude of the gravitational force of the earth on a 60 kg person? The earth has mass…

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Q: The period of the moon is approximately (2.35 x 10^6 s). Determine the radius of the moon's orbit a…

A: Given data: The period of Moon is T=2.35x106 s. The mass of Earth is m=5.98x1024 kg. The radius of…

Q: An astronaut, whose mission is to go where no one has gone before, lands on a spherical planet in a…

A: initial velocity, u = 0 m/s  height, h = 1.9 m  time, t = 0.48 s  radius, R = 8.6 x 107 m

Q: A satellite circles the earth in an orbit whose radius is 2.77 times the earth's radius. The earth's…

A: we know time period of satellite revolving around earth is  T=2πr3GM where r= radius of orbit of…

Q: Problem 3: A meteoroid is moving towards a planet. It has mass m = 0.86x10° kg and speed v = 3.5x10'…

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Q: A meteoroid is traveling with a velocity of 10.0 km/s directly toward the Earth when it is located 5…

A: We will use conservation of mechanical energy to solve this.

Q: A satellite circles the earth in an orbit whose radius is 2.22 times the earth's radius. The earth's…

A:

Q: With what orbital speed will a satellite circle Jupiter if placed at a height of 4.30 x 106 m above…

A: Given data: Height (h) = 4.30 × 106 m Mass (M) = 1.90 × 1027 kg Radius (R) = 7.14 × 107 m Required:…

Q: What is the period T of a planet which radius is as twice as of Earth when it completes one…

A: Given,

Q: An artificial satellite is in a circular orbit d 600.0 km above the surface of a planct of radius r=…

A: Given data The orbit distance from the surface of earth is d = 600 km. The radius of the planet is…

Q: A hypothetical planet has a mass of one-half that of the earth and a radius of twice that of the…

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Q: The mass of the Sun is MSun = 1.99 ✕ 1030 kg, the radius of the Sun is rSun = 6.96 ✕ 108 m, and G =…

A: Formula of weight on the Earth's surface is as follows; We=mge…

Q: A satellite of Mars, called Phoebus, has an orbital radius of 9.4×106 m and a period of 2.8×104 s.…

A:

Q: A satellite circles the earth in an orbit whose radius is 1.90 times the earth's radius. The earth's…

A: Given data:Let the radius of the satellite, R = 1.90 x (6.38 x 106 ) = 12.122 x 106 mMass of the…

Q: A satellite circles the earth in an orbit whose radius is 2.90 times the earth's radius. The earth's…

A: GIVEN   r sat =2.90 times m earth =5.98 x 10^24 r earth = 6.38 x 10^6 m.

Q: A stone is launched vertically upward with a speed of 8.0 km/s from the surface of the earth. Ignore…

A: An object has potential energy because of its location or arrangement. Gravitational potential…

Q: A comet has a perihelion distance to the Sun of 6.0 x 1010m and aphelion distance to the Sun of 1.1…

A: Using Kepler's 3rd law: T2 = 4π2GMa3 Here, G = Gravitational constant = 6.674*10^-11 M = Mass of Sun…

Q: A satellite circles the earth in an orbit whose radius is 5.00 times the earth's radius. The earth's…

A:

Q: The sun has a mass of 1.99 X 10 ^30 kg and has a radius of 693600 km.  What is the acceleration due…

A: The acceleration due to gravity on the surface of the sun is,

Q: A rock far outside a solar system similar to ours is initially moving very slowly relative to its…

A: Given that:Initial speed, u= 0 (moving very slowly relative to sun)Mass of sun, MS=3.2×1030 kgMass…

Q: An asteroid starts at rest infinitely far from an Unknown planet. The asteroid has a mass of…

A: The planet's mass is, Mp=8.60×1025 kg The planet's radius is, Rp=2.5×107 m

Q: A "kiloton of TNT" is an energy of 4.184 x 1012 J. How much mass would an object need to have to…

A:

Q: A satellite of Mars, called Phobos, has an orbital radius of 9.4 ✕ 106 m and a period of 2.8 ✕ 104…

A: The time period for photos is given as,

Q: A planet with mass 10 x 1024 kg orbits a sun with a period of 1 Earth's years. The speed of the…

A: Given  mass of planet(mp)=1025 kg time period(T)=1 earth’s year =31536000 seconds velocity of…

Central Force

Central force is the force that acts along the center of mass of one body to the center of mass of another body. Its direction from or away from a point on a body to another is called the center of the force. Such forces include gravitational force between two massive objects or electrostatic forces between two charged particles. So from atoms to planets, the central forces play an important role in shaping our daily lives. One of the remarkable features of central forces is that they are conservative, i.e. the total energy of a central force system can always be expressed as a gradient of a potential energy function.