The Moon moves around the earth with radius 3.84 x 108m (the distance from the center of Earth to the center of Moon). The mass of earth is 6.0 x 1024kg. Calculatethe speed of moon moving around the earth.

Q: As shown in the image, the axis of Earth makes a 23.5∘23.5∘ angle with a direction perpendicular to…

A: a) L = I w = 2 M R2 w / 5 = 0.4 * 5.98 * 1024 * (6.38 * 106)2 * 2 pi / 86400 = 7.08 * 1033 kg.m2/s…

Q: Let's model a planetary ring as having mass Mng = 2.30 x 1020 kg and radius R = 100,000 km. A body…

A:

Q: Ex. 17: A satellite is revolving around the earth in a circular orbit at a distance of 107 m from…

A: The speed(v) of the satellite. Given, Universal Gravitational ConstantG=6.67×10-11 Nm2kg2mass of…

Q: Suppose that the Sun runs out of nuclear fuel and suddenly collapses to form a white dwarf star. The…

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Q: The moon takes 27 days to complete one revolution around the earth. Calculate its linear velocity…

A: To Find : Linear velocity of moon Given that, Periodic time of moon (T) = 27 days Orbital radius of…

Q: L. St In B Scientists want to place a 4100 kg satellite in orbit around Mars. They plan to have the…

A:

Q: A projectile is shot directly away from Earth's surface. Neglect the rotation of the Earth. What…

A: Escape speed can be defined as the minimum speed needed for non- propelled object to escape from the…

Q: An asteroid is moving directly towards the centre of the earth. When at a distance of 10R (R is the…

A: An asteroid is moving directly towards the center of the earth. At a distance of 10R from the…

Q: The code Orbit (Appendix J) can be used to generate orbital positions, given the mass of the central…

A: Required : Plots of the orbits.

Q: A projectile is shot directly away from Earth's surface. Neglect the rotation of the Earth. What…

A: We know that, at escape speed. The kinetic energy of an object will be equal to the magnitude of…

Q: A planet in our solar system has a circular orbit with 433 day year.  Determine the planets distance…

A:

Q: roblem 5: An intergalactic spaceship arrives at a distant planet that rotates on its axis with…

A: Time period of a planet, T = 28 hoursMass of the planet, M = 5.3×1025 kg

Q: Scientists want to place a 4100 kg satellite in orbit around Mars. They plan to have the satellite…

A: If a particle moves in a circle of radius r with velocity v, the acceleration is given by v2r…

Q: A Satellite is reupluing round the earth in a circular oubit with critical relocity 7 km/s. Find…

A: We need to find-Radius of orbit (r)=?Period of revolution(T)=?The data given as-Critical velocity…

Q: What's the linear speed of a point on the equator of a planet whose radius is 5.4 times that of…

A: Given--- radius of planet = 5.4 times of the earth radius.  We have to find--- linear of a point…

Q: A hammer with mass m is dropped from rest from a height h above the earth’s surface. This height is…

A: In this case Energy should be conserved i.e. Total initial energy is equal to total final energy…

Q: A synchronous space probe is orbiting around Mars. The Mars radius is 3370 km and the mass is 6.42 x…

A:

Q: A planet in our solar system has a circular orbit with 433 day year.  Determine the planets distance…

A: given, Time period T =433day year =37411200 sec mass of sun M=2x1030kg

Q: Radius of Earth, RE: 6,3781366E+06 m Mass of Earth, ME: 5,9721426E+24 kg h=554km A spacecraft…

A: Height above the surface of earth (h) = 554000 m Radius of earth (r) = 6.378×106 m Mass of earth (m)…

Q: A planet rotates on an axis through its poles and 1 revolution takes 1 day (1 day is 24 hours). The…

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Q: A projectile is shot directly away from Earth's surface. Neglect the rotation of the Earth What…

A: The initial speed is 0.507 of the escape speed from EarthThe initial kinetic energy is 0.507 of the…

Q: Certain neutron stars  (extremely dense stars)  are believed to be rotating at about 3.5 rev/s. If…

A: Given data: The number of revolutions of the neutron star is N=3.5 rev/s. The radius of the…

Q: AU is a unit of distance. If the orbital speed of Earth at aphelion is v, what is the orbital speed…

A: Angular momentum of earth about sun is conserved which means that at any point in the path of earth…

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

A:

Q: An Earth orbiting satellite has the following radius and position vectors. Determine the orbital…

A: Hey there, please do cross check the calculations.

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: 2.) A satellite is launched into a circular orbit 40 x 10^5 m above the surface of the Earth. a.…

A:

Q: A synchronous space probe is orbiting around Mars. The Mars radius is 3370 km and the mass is 6.42 x…

A:

Q: A comet travels around sun in elliptical orbit. Its mass is 105 kg. When it is 2.5 x 1010 m away its…

A: Given: The mass of the orbit is 105 kg. The distance is 2.5x1010 m. The speed is 2x103 m/s. The…

Q: A projectile is shot directly away from Earth's surface. Neglect the rotation of the Earth. What…

A: We know that, at escape speed. the Kinetic energy of an object will be equal to the magnitude of…

Q: Three dimensions. Three point particles are fixed in place in an xyz coordinate system. Particle A,…

A: Given :  Particle A = (0,0,0) and mass = mA Particle B = (3d, 1d, 3d) and mass = 4 mA Particle C =…

Q: If the Earth , supposed to be a uniform sphere contracts slightly so that its radius becomes less by…

A: The relations between the time period will be

Q: A disk with velocity v= 10m/s, mass m=4 kg, and radius r=.3 m. Find the total kinetic energy.

A: The total kinetic energy is the sum of the translation kinetic energy and rotational kinetic energy.…

Q: Problem 1. A planet with a mass of 7.00x10-" kg is in a circular orbit around a star with a mass of…

A:

Q: A 19 kg. rock is thrown straight down toward the Earth from a distance of 10 earth radii above the…

A: Given:- rock mass = 19 Kg d= 10 * 6370000 meters initial speed of 5400 m/s  mass of the earth is…

Q: A satellite is in a circular orbit around the earth. The period of the satellite is 20.3 hr.…

A:

Q: Earth is rotating about the Sun in our solar system. Thc distance between the Earth and Sun is 1.5 x…

A: (d) Energy required to stop earth's rotation is, E=12Iω2=1225MERE2ω2=155.97×1024 kg6.38×106…

Q: e impact of an asteroid of mass 8.9 ×1015 kg and a speed of 90,000 km/h with respect to the Earth’s…

A: Given- The distance between the Earth and Sun is d=1.5 × 1011mMass of asteroid m=8.9×1015 kgand…

Q: A projectile is shot directly away from Earth's surface. Neglect the rotation of the Earth. What…

A:

Q: A satellite with mass 850 kg is placed in its orbit with the orbital radius of 4.5 x 107 m from the…

A: Gravitational Potential Energy is negative at the surface of Earth, because work is completed by the…

Q: A disk with velocity v= 10m/s, mass m=5 kg, and radius r=2 m. Find the total kinetic energy.

A: We know that for a disc: Inertia(I) is as below. value of the rotational kinetic energy is: value…

Q: Planet X is a sphere where a 0.5 kg block weighs 36 N when sitting on the surface. If an object is…

A:

Q: Comets travel oround the sun in elliptical orbits with targe eccentricity. If a comet has speed 2.2…

A: Given data: Speed of the comet v=2.2×104 m/s. Initial Distance ri =2.5×1011 m. Final distance…

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.