In the problems below, “little g” plays a variety of roles. Near the earth’s surface, g has a value of 9.81 m/s2. At other locations g may have different values. Solve these word problems using the data provided below. MMoon = 7.35 × 1022 kg rMoon  = 1.74 × 106 m rMoon’s orbit = 3.8 x 108 m mEarth = 5.97 × 1024 kg rEarth  = 6.37 × 106 m rEarth’s orbit = 1.5 x 1011 m Question 1: An astronaut is standing on the moon, holding a feather. a) Calculate the acceleration due to gravity on the moon. b) The astronaut drops the feather from a height of 2.0 meters. How long does it take the feather to hit the ground? c) The feather has a weight of 0.020 N

Q: At what altitude above Earth's surface would the gravitational acceleration be 1.50 m/s²? (Take the…

A: Given Data:Gravitational acceleration at a height from the Earth's surface is Radius of the Earth…

Q: A satellite of mass m=4,790 kg orbits Earth (ME=5.98x10^24 kg, RE=6.4x10^6 m) at a velocity…

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Q: The captain of a spaceship orbiting planet X discovers that to remain in orbit at 410 km from the…

A: The orbital speed of satellite orbiting around a planet is given  by  V = (GM/r) 1/2. Where G =…

Q: What is the gauge pressure in the ocean at a point 10 km below sea level? Density of seawater is…

A: Given  Depth = 10 km          = 10 ×1000 m Density of seawater is 1,030 kg per cubic meter.

Q: A rock is dropped from high above the surface of the Earth. The initial speed is 0, and the initial…

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Q: A satellite is traveling around a planet in a circular orbit with radius R. It moves in a constant…

A: Given data:  v= 1.1 X 104 m/s M= 6.04 X 1024 m/s m= 1.2 X 103 kg The radius of orbit R and Universal…

Q: The center of a 850 kg satellite is 9.9 ×106 m from Earth’s center. What is the gravitational force…

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Q: What speed should a spaceship of mass 5.21 x 10' kg moving aror only by the gravitational force be,…

A: For circular motion the required centripetal force is provided by gravitational force.…

Q: What is the force of gravity, Fg, between 2 spheres if: m1= 5.3 x 108 kg m2 = 2.5 x 1011 kg r =…

A: Given data: First mass (m1) = 5.3×108 kg Second mass (m2) = 2.5×1011 kg Distance (r) = 12,000 m G =…

Q: How much work is required to lift a 500-kg satellite to an altitude of 3⋅10^6 m above the surface of…

A: Given: The mass of the satellite, m = 500 kg The mass of the Earth, M = 6×1024 kg The radius of the…

Q: lease don't provide handwritten solution....   Two forces act on a 4.05 kg object, the…

A: The mass of the object is 4.05 kg.The initial velocity of the object is 0 m/s.The time interval is…

Q: . Two spherical objects have masses of 3.1 x 10° kg and 6.5 x 10° kg. The gravitational attraction…

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Q: A geosynchronous satellite   moves in a circular orbit around Earth (i.e., its period is 24 hours).…

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Q: Two forces act on a 2.90 kg object, the gravitational force and a second, constant force. The object…

A: Mass of the object m = 2.90 kgAfter 1.20 s the displacement r→=4.1i^−3.3j^The initial velocity of…

Q: The distance from the center of the earth to the center of the moon is 3.8 10^8 m. G= 6.67*10^-11…

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Q: he motion of a body of mass m, gravitationally attracted to Earth in the presence of a esisting drag…

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Q: hypothetical planet has a mass 2.68 times that of Earth, but the same radius. What is g near its…

A: The acceleration due to gravity on the surface of a planet of mass M and radius R is given  g =…

Q: One of your summer lunar space camp activities is to launch a 1170 kg rocket from the surface of the…

A: The expression for the required gravitational potential energy,

Q: A physicist has just discovered a new kind of particle. The force between two of them is F = -b/r,…

A: F=-br F is force having  units=kg m/s2 r is distance having unit metre(m) so units of b will be…

Q: The tallest spot on Earth is Mt. Everest, which is 8850 m above sea level. If the radius of Earth to…

A: Given data:  Altitude above sea level (h) = 8850 m Radius of earth (R) = 6369 km = 6369000 m…

Q: Comets travel around the sun in elliptical orbits with large eccentricities. If a comet has speed…

A: Given : v1 = 2.5 x 104 m/s d1 = 3 x 1011 m d2 = 5.3 x 1010 m

Q: An asteroid starts at rest infinitely far from Earth. The asteroid has a mass of 2.00×104 kg.…

A: The change in the gravitational energy of the asteroid can be determined as follows.…

Q: At what altitude above Earth's surface would the gravitational acceleration be 4.40 m/s2? (Take the…

A: Earth's radius is R=6370 km Gravitational acceleration at height h is g'=4.40 m/s2 Gravitational…

Q: 1. M= 1.989 x10 kg. Ru= 696,340 km Mean= 5.972 x 10 kg Ream = 6,371 km G= 6.67x10*" c = 3.0 x 10°m/s…

A: Mass of sun Msun = 1.989×1030 kg Radius of sun Rsun = 696340 km = 6.96340×108 m Mass of earth Mearth…

Q: A satellite has an orbital radius of 100km above the earth's surface. Earths mass= 5.97x10^24kg.…

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Q: Planet Z-1 has a mass equal to one-third that of the Earth and a radius equal to one- third that of…

A: Provided data:  Mass of earth = M Mass of planet Z-1(M1)= one third of earth= M/3 Radius of earth =…

Q: Scientists want to place a 4 × 103 kg satellite in orbit around Mars. They plan to have the…

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Q: The equatorial radius of the Earth is 6378 km and gravity at the equator is 9.780 m s-2. Compute the…

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Q: A spherical particle is falling through the air. Determine the drag force acting on the particle.…

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Q: A planet orbiting a distant star has radius 3.54×106 mm. The escape speed for an object launched…

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Q: What is the acceleration due to gravity on the surface of Mars? The mass of Mars is 6.418 x 1023 kg…

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Q: Newton's law of universal gravitation can be expressed by the equation Mm F = G where F is the…

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Q: (a) Find the magnitude of the gravitational force (in N) between a planet with mass 6.50 x 1024 kg…

A: (a) The gravitational force between planet and mass F=GMmd2=6.6743×10-11 m3kg-1s-26.50×1024…