A rocket is launched off the surface of earth. If it has a speed of 2.62×103 m/s, what height above the surface will it reach? Take the radius of the earth to be 6.37×106 m and the mass of the earth to be 5.98×1024 kg.

Q: he International Space Station has a mass of 4.12 x 105 kg and is orbiting at an altitude of about…

A: In this question we have to find the speed of the International Space Station in its orbit. Please…

Q: A satellite used in a cellular telephone network has a mass of 1920 kg and is in a circular orbit at…

A: Approach to solving the question:Please see attached photos for detailed solutions. Thank you.…

Q: A Mars orbiter is orbiting Mars at 35,000 m above the Martian surface. What is its period in…

A: Height of Mars orbiter above the Martial surface: h = 35000 m Mass of Mars: Mm = 6.42 x 1023 kg…

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

A:

Q: A faraway, imaginary planet has one moon which has a nearly circular periodic orbit. Let the…

A:

Q: A rocket lifts off the pad at Cape Canaveral. According to Newton's Law of Gravitation, the force of…

A: when a body having mass m rises above the earth a gravity force acts against it. so work is done…

Q: A planet of mass m=3.05×10^24 kg orbits a star of mass M=3.85×1029 kg in a circular path. The radius…

A: The expression to determine the orbital period of the planet is, T2=4π2MGR3

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

A:

Q: The International Space Station is orbiting at an altitude of about 370 km above the earth's…

A: Given that, The altitude of the space station from the surface of the earth is h=370(km)=370×103(m)…

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: After landing on an exoplanet, an astronaut constructs a simple pendulum of length 49 cm. The…

A:

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: A spherical shell has uniform density of 4.6 kg/m³. It has an inner radius 2.5 m and outer radius…

A:

Q: A planet with mass 11 x 1024 kg orbits a sun with a period of 1 Earth's years. The speed of the…

A: Given: Mass of planet, m=11×1024 kg Time period, T=1 year Speed of planet around the sun, v=33600…

Q: You are on the surface of a planet with no atmosphere.  This planet has mass 9.8 x 1023 kg and…

A: Mass, M = 9.8 x 1023 kg  radius, R = 1.3 x 105 m initial velocity, u = 12.8 x 103 m/s final speed, v…

Q: Scientists have discovered a distant planet with a mass of 8.4x1023 kg. The planet has a small moon…

A: The period of the satellite in seconds is, T=5×3600 s+13×60 s=18780 s The equation for the period of…

Q: A recently discovered planet has a radius 2.3 times that of Earth, but has the same mass. What is…

A: Given Data   The relation of the radius of the planet and radius of the earth is given as rp = 2.3re…

Q: Scientists have discovered a distant

A: Given: Mass of planet is M=6.4*1023 kg Period T=6hrs and 26 min=(6*60*60+26*60) sec T=23160 sec

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: Scientists have discovered a distant planet with a mass of 6.0x1023 kg. The planet has a small moon…

A: Mass of the planet, M = 6 X 1023 kg Time period of moon of planet, T = 5 hours 40 minutes = 340…

Q: NASA is expected to send a 2600-kg satellite 450 km above the earth’s surface. (a) What is its…

A: The radius of the orbit is the sum of the radius of earth and the height of the satellite. r = R + h…

Q: At the Sun’s surface, the gravitational force between the sun and a 5.00 kg mass of hot gas has a…

A:

Q: 21. Find the gravitational acceleration at this highest point. This would be the initial downward…

A:

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

A:

Q: Scientists want to place a 3900 kg satellite in orbit around Mars. They plan to have the satellite…

A: Here radius of the orbit of satellite = radius of Mars +2.1 ×radius of Mars= 3.1 rmars

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

A:

Q: The mass of a planet is one third that of the earth and the diameter of the planet is six times that…

A: Given,      mP=me3                dP=6 de

Q: An object of mass m is dropped from height h above a planet of mass M and radius R. Find an…

A:

Q: In this problem you will measure the gravitational constant in a series of “observational…

A: Given that  initial velocity vi 494 m/sec  ME = 5.95×1024 kg Ri = 6.41×106 m H = 12.7 km Question…

Q: The Moon has a mass 7.35 × 1022 kg of and a radius of 1740 km. Air resistance can be neglected on…

A:

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

A:

Q: ,

A: Given: The distance of the comet from the sun =600 million miles Closest distance of the comet from…

Q: A meteoroid is heading directly to the Earth. The speed of the meteoroid is 2000 m/sec when it is at…

A: Given Data:  Speed of Meteoroid Sm=2000 msec Distance between Meteoroid and Earth is (d)=3.84×108 m…

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: object is thrown upward with a speed of 17.7 m/s on the surface of planet X where the acceleration…

A: Initial velocity (u) = 17.7 m/s Acceleration due to gravity on planet X        ( g )= 2.5 m/s2

Q: veryone knows the earth is pulled toward the Sun by the gravitational force between the Sun (M = 2 x…

A: 'Given: The mass of the earth is 6x1024 kg. The mass of the sun is 2x1030 kg. The distance between…

Q: What is the escape speed from a planet of mass M = 3.1 x 1023 kg and radius R = 2.6 x 106 m? Write…

A: Given data:  Mass of planet (M) = 3.1×1023 kg Radius (R) = 2.6×106 m Universal Gravitational…

Q: The value of g at Earth's surface is about 10m/s2. What is the value of g at a distance of twice…

A: The expression for the acceleration due to gravity (g) of earth is written as,

Q: 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…

A: The acceleration due to gravity is,

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.