Q. 12: The distance between centre of the earth and moon is 384000 m. if the mass of the earth is 6 x 1024 kg and G = 6.66 x 10-11 Nm2/kg², the speed of the moon is nearly %3D (a) 1 km/s (b) 4 km/s (c) 8 km/s (d) 11.2 km/s

Q: Suppose a planet with a mass of  2.24 ✕ 1025 kg  is orbiting a star with a mass of  3.55 ✕ 1031…

A: Given Data:- Mass of the planet is m=2.24×1025 kg Mass of the star is M=3.55×1031 kg Mean distance…

Q: A m = 71.2 kg object is released from rest at a distance h = 0.746994 R above the Earth's surface.…

A: Given:- The mass of the object is m = 71.2 kg. The object is released from the distance h=0.746994R…

Q: A 500 kg mass is released at rest from a distance of two Earth radii above the surface of the Earth.…

A: As per the law of conservation of energy, the total energy (E) of the mass at distance of two Earth…

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 mass of an electron is m=9.11*10^-31 kg. The mass of a proton is m=1.67*10^-27 kg. They are…

A: The expression for the gravitational force between the electron and proton is as follows: F=GmPmer2…

Q: Newton’s version of Kepler’s third law is P2 = 4 π2 / [G (M1 + M2)] · a3, where G is the…

A: From Newton’s version of Kepler’s third law

Q: Jupiter's moon Io has active volcanoes (in fact, it is the most volcanically active body in the…

A: Gravitational acceleration on lo is,

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

A: Consider a satellite having mass m orbiting around a planet in radius R with speed v and the…

Q: Newton’s version of Kepler’s third law is: P2 = 4 π2 / [G (M1 + M2)] × a3. The space shuttle orbits…

A: The space shuttle orbits 271 km above the earth

Q: A planet has a mass of 4.0 × 1024 kg and a radius of R = 5.0 × 106 m. A cannon on the planet's…

A: Given that a planet has a mass of 4.0 × 1024 kg  radius = R = 5.0 × 106 m Let V be the speed at  the…

Q: what will be its velocity when it reaches 5.2x10^6m from the center of the new planet?

A: Principle of Conservation of Energy According to the law of conservation energy, energy can neither…

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

A: v1 =2.1 x 104 m/sd1 = 2.6 x 1011 = 26 x 1010d2 = 4 × 1010

Q: A number of gas giant planets orbiting other stars at distances less than 1 A.U. have been…

A: Since you have asked multiple questions, I am answering the first 3 subparts. If you need answers of…

Q: Europa orbits Jupiter at a distance of 6.7 x 108 m from Jupiter's cloudtops (the surface of the…

A:

Q: A number of gas giant planets orbiting other stars at distances less than 1 A.U. have been…

A: Hey there, since you have asked multiple questions we have solved the first three for you. Please…

Q: NOTE: Your answer suggests that you have assumed constant gravitational

A: Explained as, F=-GMMR+y2

Q: The orbit of Earth’s moon has a period of 27.3 days and a radius (semi-major axis) of 2.57 ×10-3…

A: Given data: T=27.3 daysr=3.85×105 km Need to determine the  mass of Earth.

Q: The mass of a planet is 5.0×1024 kg and its radius is 6.1×10 m. The energy required for a body of…

A:

Q: A meteor of mass m is approaching earth as shown on the sketch. The distance h on the sketch below…

A:

Q: A satellite m = 500 kg orbits the earth at a distance d = 190 km, above the surface of the planet.…

A:

Q: A satellite m = 500 kg orbits the earth at a distance d = 213 km, above the surface of the planet.…

A:

Q: Newton’s version of Kepler’s third law is P2 = 4 π2 / [G (M1 + M2)] · a3, where G is the…

A: Given data: The value of gravitational constant G is 6.67×10-11 m3/kg.s2 The average distance is…

Q: The gravitational acceleration constant gx on Planet X can be approximated by determining the…

A: Given data:  The acceleration due to gravity on the planet gx = 3.8 m/s2 Universal gravitational…

Q: A satellite m = 500 kg orbits the earth at a distance d = 199 km, above the surface of the planet.…

A: Distance from earth, d = 199 km = 199000 m Radius of the earth, re = 6.38×106 m Gravitational…

Q: A newly discovered planet X has a mass of 36.7 × 1023 kg and radius 2.47 × 106 m.  What is g on this…

A:

Q: Jupiter's moon Io has active volcanoes (in fact, it is the most volcanically active body in the…

A: Given: Mass of Io = m = 8.93 × 1022 kg Radius of Io = r = 1821 km  Mass of earth = mE = 5.96×1024 kg…

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

A: The above problem can be solved using the law of conservation of angular momentum. Using the law of…

Q: The mean diameters of Mars and Earth are 6.9×10^3km and1.3×10^4km, respectively. The mass of Mars is…

A: (a) Density of mars ρM=MMV=MM4πRM33=3MM4πRM3 Density of Earth ρE=MEV=ME4πRE33=3ME4πRE3

Q: A certain asteroid in space can travel 48.0 km in 3.0 seconds. Its kinetic energy is known to be…

A: Given data: Distance (d) = 48.0 km = 48.0 Time (t) = 3.0 s Kinetic Energy (KE) = 3.84 × 1018 J…

Q: Ex. 9: Calculate the work required to be done in moving a body of mass 100 kg from a height (2 R) to…

A: To find- Work required to be done (W)=? Given- Mass of body (m)=100 kg, M=6 x 1024 kg Displacement…

Q: How much work is required to lift a 800-kg satellite to an altitude of 3 · 106 m above the surface…

A:

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: You are trapped on an earth-like planet with a mass of 5.00×1024 kg and a radius of 4000 km. You…

A: The planet's mass is, m=5×1024 kg The planet's radius is, r=4000 km=4000×103 m