With what speed would mail pass through the center of Earth if falling in a tunnel through the center?

Q: A satellite of mass 390 kg is in a circular orbit around the Earth at an altitude equal to the…

A: Given : Mass of satellite, m  =  390 kg Mass of Earth, Me      =  5.98 x 1024 kg Gravitational…

Q: The escape speed of a projectile on the earth’s surface is 11.2 km s-1. A body is projected out with…

A: Let ve be the escape velocity of the projectile, v be the actual speed of the projectile, v’ be the…

Q: In a certain binary-star system, each star has the a mass of 1.08 x 1030 kg, and they revolve about…

A:

Q: An experiment is performed in deep space with two uniform spheres, one with mass 25.0 kg and the…

A:

Q: Two identical planets orbit a star. One is four times as far from the star as the other. The more…

A:

Q: If the speed of a satellite of mass “m" in orbit around Earth is “v" at a distance “T" from Earth's…

A:

Q: The angle between the two radii of a circle of radius 2 m is 0.60 rad. What length of arc is…

A: Given:- The radius of the circle is R = 2 m The angle between the two circles is  0.60 rad Find:-…

Q: Show that the square of the escape speed is equal to the product of diameter of the Earth and the…

A: Escape velocity is the minimum velocity with which a body must be project vertically upward so that…

Q: When a falling meteoroid is at a distance above the Earth's surface of 2.85 times the Earth's…

A:

Q: Find the force of gravitational attraction from a uniform disk of mass M and radius a on a small…

A:

Q: If a rocket were launched instead of a cannonball, what minimum speed would be required for the…

A:

Q: Note that the acceleration due to gravity near the surface of Earth is 9.80 m/s^2. From what…

A: The relation between the acceleration due to gravity and the distance from the surface is given by…

Q: A satellite was launched in order to observe the Saturn. At the moment the distance between the…

A:

Q: When a falling meteoroid is at a distance above the Earth's surface of 3.10 times the Earth's…

A: The formula to calculate the separation is given by, r=RE+dTherefore,r=RE+3.10REr=4.1RE

Q: When the distance between you and the center of the Earth triples, the force of gravity of the Earth…

A: The force of gravitation is given by the formula  F = GMem/r2 So force is inversely proportional to…

Q: At what height h above the earth will a satellite moving in a circular orbit half the period of the…

A: Given, Mass of the earth M = 5.97*1024 Kg Time Period of earth rotation T = 24 hrs

Q: Two identical stars with mass M orbit around their center of mass. Each orbit is circular and has…

A: mass = M Radius= R Where in part b as you have solved  v2=GM/4R

Q: Suppose an astronaut landed on a planet where g = 19.6 m>s2. Compared to earth, would it be…

A: The weight of the person compared on the planet compared with the earth is, WPWE=gPgE=19.6 m/s29.8…

Q: 2.31 For an earth satellite, the specific angular momentum is 70, 000 km²/s and the specific energy…

A:

Q: The gravitational attraction (N) between two identical spheres of mass 43 kg and radius 0.82 m in…

A:

Q: Would the force from the earth increase or decrease if the mass was kept constant but the radius of…

A: we know gravitational force of earth is 9.8 m/s2  g=GMR2= 9.8 m/s2     here , G= 6.67 *10-11 N m2…

Q: The apparent weight of passengers at the rim of a rotating space station is 73.1% of their actual…

A: Given data: Apparent weight is: Wa = 73.1% of Wactual = 0.731Wactual Distance of rim from its centre…

Q: What is the direction of the gravitational acceleration of an object that is freely moving donwards?

A: Given data:  Object is moving freely towards downward Required: The direction of the gravitational…

Q: A steel ball weighing 5 kg rolls horizontally at a rate of 10 m/s. If it rolls up an incline, how…

A:

Q: An African elephant is walking along when a mini-black hole suddenly appears directly above him. The…

A:

Q: When a falling meteoroid is at a distance above the Earth's surface of 3.10 times the Earth's…

A:

Q: Why would an observer out in space see the earth orbiting the sun rather than the sun orbiting the…

A: Solution: Earth revolves around the sun

Q: Show that the acceleration due to gravity at the centre of Earth is zero.

A: The force of gravity is given by the equation:

Q: You are a visitor aboard the New International Space Station, which is in a circular orbit around…

A: Orbital speed =(GM/r )1/2  G = Gravitational constant  M = mass of earth  r = orbital radius

Q: How close would the masses 0.475 kg and 0.109 kg have to be in order for the gravitational force…

A:

Q: Evaluate the magnitude of gravitational force (in N) between two 9 kg spherical steel balls…

A:

Q: What would happen to the orbit of the Earth if the Sun were suddenly replaced with a black hole the…

A:

Q: Two stars M1 and M2 of equal mass make up a binary star system. They move in a circular orbit that…

A: According to the Kepler’s third law, T2=4π2GMa3

Q: At what rate must a cylindrical spaceship rotate if occupants are to experience simulated gravity of…

A: Simulated gravity,

Q: Three identical bodies of mass M are located at the vertices of an equilateral triangle with side L.…

A:

Q: A rock far outside a solar system similar to ours is initially moving very slowly relative to its…

A: Given that:Initial speed, u= 0 (moving very slowly relative to sun)Mass of sun, MS=3.2×1030 kgMass…

Q: Any two objects with mass are attracted to each other gravitationally. If object A has a mass of…

A: Given data:  Mass of object A (m1) = 33 kg Mass of object B (m2) = 270000 kg Distance between masses…

Q: A tunnel is dug through the center of a perfectly spherical and airless planet of radius R. Using…

A: From Newton’s law of gravitation, The gravitational force between two objects is  Here,  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.