An object on a certain planet has an escape speed of V. If another planet has twice the radius and twice the mass of the first planet, the escape speed will be?

Q: The escape speed on Earth is 11.2km/s. What is its value for a planet having double the radius and…

A: We know that,

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 a spaceship is 1000 kg. it is to be launched from the earth's surface out into free…

A:

Q: ex. The escape velocity at the surface of the earth is approximately 8 km/s. What is the escape…

A: Given data: Escape velocity at the surface of the earth v = 8 km/s The radius of planet (rp) = 4r…

Q: In 2005 astronomers announced the discovery of a large black hole in the galaxy Markarian 766 having…

A: (a) Write the expression for speed in terms of time period. Rearrange equation (I) to obtain an…

Q: An asteroid of mass m is in a circular orbit of radius raround the Sun with a speed v. It has an…

A:

Q: Two planets in the above figure have the same ratio of mass over volume and are subject only to…

A: Its a concept of Gravitational force

Q: What is the gravitational acceleration close to the surface of a planet with a mass of 4M and radius…

A:

Q: The rocket is at height of 150 km above the Earth. Thus, the distance r in which is measured from…

A: Given that:- Height of rocket from earth surface=150km

Q: A comet is in an elliptical orbit around the Sun. Its closest approach to the Sun is a distance of…

A: Assume the mass of the Sun as M=1.989×1030 kg Assume the mass of the comet is denoted by mc. The…

Q: What is the gravitational acceleration on the surface of a planet that has twice the radius and…

A: radius of planet = 2 R  density of planet =2 d

Q: The Earth is assumed to be a sphere of radius R. A platform is arranged at a height R from the…

A: Given information :- Escape velocity ve' =f.ve ; ve is escape veloctiy from the earth's surface

Q: Consider a planet that has a gravitational acceleration of 1.8 m/s2 at its surface. Assume that the…

A: Given data The gravitational acceleration is g=1.8 m/s2 The radius of the planet is R=4300 km (a)…

Q: What velocity would a satellite need to maintain a circular orbit at a height h = RE (RE = 6.37 x…

A:

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

A: Given data: Speed of the satellite, v=1.1×104 m/s Mass of the planet, M=6.04×1024 kg Mass of the…

Q: A planet of mass 4.5x1026 kg has a radius 5.3x106 m. A satellite is launched from the surface of the…

A:

Q: A projectile is fired vertically from Earth's surface with an initial speed v. Neglecting air drag,…

A: Given: The initial velocity of the object is v vertically upward. The final velocity of the object…

Q: A comet orbits the sun (mass m_S) in an elliptical orbit of semi-major axis a and eccentricity e…

A:

Q: What multiple of the energy needed to escape from Earth gives the energy needed to escape from (a)…

A: The potential energy,

Q: (f 601) N

A: Calculating the minimum velocity (escape) on the basis of kinetic energy

Q: The ratio of the radius of the Earth to that of the Moon is 10. The ratio of acceleration due to…

A:

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

A: Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

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

A:

Q: Suppose a planet is discovered orbiting a distant star with 13 times the mass of the Earth and 1/13…

A: Given: Mass = 13 times mass of earth. Radius = 1/13 radius of earth.

Q: If a projectile is launched vertically from the Earth with a speed equal to the escape speed, how…

A: In this problem we will use conservation of energy  Initial total energy= final total energy

Q: Consider a distant planet that has twice the mass and twice the radius of the Earth.Is the escape…

A:

Q: What is the escape speed on a spherical asteroid whose radius is 3.00 x 10° m and whosebie…

A: It is given that,

Q: A car of mass 1800 kilograms passes over a hill that has an arc with a radius of 42 meters. If the…

A: The gravitational force experienced by the car is given by Fg=mg

Q: The asteroid 243 Ida has a mass of about 4.0×10^16 kg and an average radius of about 16 km (it's not…

A: Mass , m = 4.0 x 1016 kg Radius , R = 16 km = 16 x 103 m To find = a) launch speed of rock .…

Q: A rocket is launched straight up from the earth's surface at a speed of 1.90×10^4 m/s. What is its…

A:

Q: A comet is in an elliptical orbit around the Sun. Its closest approach to the Sun is a distance of…

A: Given: Closest distance of comet from sun, r1 = 4.9×1010 m with speed, v1 = 9.3×104 m/s Farthest…

Q: One of your summer lunar space camp activities is to launch a 1010 kg rocket from the surface of the…

A: Given: The mass of the rocket is 1010 kg. The altitude is 209 km. The mass of the moon is 7.36×1022…

Q: The escape speed from a distant planet is 39 km/s. If the acceleration of gravity on the planet…

A: Escape speed is,

Q: A planet with a radius of 6.00 × 107 m has a gravitational field of magnitude 40.2 m/s2 at the…

A:

Q: the escape speed from the surface of the earth is 11.2 km/s. What is the escape speed from a planet…

A: It is known that the escape speed of the earth from the surface is 11.2 km/s. The density of the…

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

A: Given: Mass of the asteroid = m = 109 kg Distance from the center of the earth = r = 4×108 m Mass 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.