The escape speed of a projectile on the earth's surface is 11.2km/s. A body is projected out with the thrice this speed. What is the speed of the body far away from the Earth?

Q: How far from the surface of the earth does a rocket travel, before momentarily coming to rest, when…

A: Given:- Initial speed = u = (1/3) of Vesc Escape speed = Vesc = 11.2 km/sec = 11.2x103 m/s Formula:-…

Q: The orbit of Earth around the Sun is almost circular: The closest and farthest distances are 1.47 x…

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Q: A rocket is fired vertically with a speed of 5 km s-1 from the earth’s surface. How far from the…

A: Using conservation of energy,

Q: An 8000 kg satellite is launched from the surface of the Earth into outer space. What initial…

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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: A satellite of mass 175 kg is launched from a site on Earth's equator into an orbit at 180 km above…

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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: 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: 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: Weight of a body at the equator of a planet is half of that at the poles. If peripheral velocity of…

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Q: A planet is observed to be in an elliptical orbit around the sun as shown below. Which of the…

A: According to Kepler's second law if any planet moves in elliptical orbit around sun having it one of…

Q: In the energy lab, a student through the ball straight up with initial speed V= 2 m/s from the…

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Q: A rocket is fired straight up, and it burns out at an altitude of 250 km when traveling at 6.00 km/s…

A: Given Data  R = 6.37×106M = 5.98×1024G = 6.67×10-11N.m2kg2

Q: With what horizontal speed must a satellite be projected at 100 miles above the surface of the earth…

A: Given, Height of satellite above the surface from earth h = 100 miles  Radius of earth r = 4000…

Q: The orbit of Earth around the Sun is almost circular: The closest and farthest distances are 1.47 x…

A:

Q: A 500 g salettile has been placed in a circular orbit 1500 km above the surface of the earth. The…

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Q: A “treetop satellite” moves in a circular orbit just above the surface of a planet, assumed to offer…

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Q: An 8000 kg satellite is launched from the surface of the Earth into outer space. What initial…

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Q: An average-sized asteroid located 5.0x107 km from the centre of the Earth with mass 2.0x1013 kg is…

A: Given data: Distance of asteroid from the center of Earth, r=5×107km=5×1010m Mass of asteroid,…

Q: =5.97 A satelite orbits Earth at an altitude of 400 km above the planet's surface What is its speed…

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Q: Q A 'treetop satellite' moves in a circular orbit just above the surface of a planet, assumed to…

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Q: An 8000 kg satellite is launched from the surface of the Earth into outer space. What initial…

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Q: A 1950 kg weather satellite moves in a circular orbit with a gravitational potential energy of 1.69…

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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: A cylinder was dropped vertically from rest in a very high, evacuated tube near the surface of the…

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

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Q: A team of astronauts is on a mission to land on and explore a large asteroid. In addition to…

A: We know, that the body (mass) must have kinetic energy to overcome gravitational Potential energy.…

Q: Determine the escape velocity of a body from the moon. Take the moon to be a uniform sphere of…

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Q: What is the speed of an artificial satellite orbiting at an altitude of 1500 km above the surface of…

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Q: A space vehicle is launched vertically upward from the Earth's surface with an initial speed of 7.35…

A: Given data:Initial speed of the space vehicle, Vi = 7.35 km/s = 7.35 x 103 m/sEscape speed, Vesc =…

Q: A rocket with mass 5.00×103 kgkg is in a circular orbit of radius 7.50×106 mm around the earth. The…

A: Given :     mass of rocket, m = 5.00*103 kg    First radius, r1 = 7.50*106 m   second radius,r2 =…

Q: Denisse is playing a pinball machine. she notices that the 0.012 kg ball is shot from the plunger…

A: Given data:  Mass of ball (m) = 0.012 kg Radius of circular path (r) = 0.22 m Centripetal force (Fc)…

Q: For a body at a height of 200m, what is the body's velocity when it reaches the earth's surface and…

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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.