(a) If the legendary apple of Newton could be released from rest at a height of 2 m from the surface of a neutron star with a mass 1.5 times that of our Sun and a radius of 20 km, what would be the apple’s speed when it reached the surface of the star? (b) If the apple could rest on the surface of the star, what would be the approximate difference between the gravitational acceleration at the top and at the bottom of the apple? (Choose a reasonable size for an apple; the answer indicates that an apple would never survive near a neutron star.)

Q: A typical neutron star may have a mass equal to that of the Sun but a radius of only 19 km. (a) What…

A: radius = 19 km mass of neutron star = mass of sun mass of neutron star = 1.99×1030 kg

Q: While standing on the surface of a spherical asteriod of mass M and radius R., and astronaut thows a…

A: Mass of asteroid=MRadius=RMaximum height=h

Q: How much work, in joules, do the spaceship’s engines have to perform to move to the higher orbit

A: Given . m = 4500 kg  h1 = 170 km  h2 = 390 km  M = 5.97*10^(24) kg  Now work in joules to perform…

Q: a) A 95 kg astronaut stands on the surface of a spherical asteroid with a mass of 4.5 x 1015 kg and…

A: Please see the answer below.

Q: What will be the escape velocity from the surface of the moon if it is 11.2 km/s at the surface of…

A: The minimum velocity required by anyone or any thing to resist the gravitational pull of the planet…

Q: (a) What is the escape speed on a spherical asteroid whose radius is 106 km and whose gravitational…

A:

Q: A star is observed to undergo circular orbit around the black hole located at the centre of the…

A: We have a star which is undergoing a circular orbit of radius R=1000 AU=1.469*1014m with a time…

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: (a) State Newton's law of gravitation in word form. (b) Use the law to show that that the escape…

A:

Q: (a) Imagine that a space probe could be fired as a projectile from the Earth's surface with an…

A:

Q: (a) Evaluate the gravitational potential energy (in J) between two 4.00 kg spherical steel balls…

A: The data given is as follows: 1. Mass of the two spherical balls, m1=m2=4 kg 2. Center to center…

Q: A bullet is fired vertically upwards with velocity v from the surface of a spherical planet. When it…

A: Let h represent the bullet's climb in height.  Gravitational acceleration changes with height as…

Q: (a) What is the escape speed on a spherical asteroid whose radius is 500 km and whose gravitational…

A: Given,

Q: If the legendary apple of Newton could be released from rest on the surface of a neutron star with a…

A: Write a given values of this question. M=1.6×1.99×1030kgdr=2×3.5cm=0.070mr=18km=18000m

Q: Consider an object that is in an elliptical orbit with semimajor axis a = 7.9×106 m about a planet…

A: Relation b/w the apogee ( furthest ) and perigee (closest) point with Semimajor axis(a) are as:…

Q: One way astrophysicists have identifi ed “extrasolar” planets orbiting distant stars is by observing…

A: Part (a) Given: The mass of star is ms=1.99×1030 kg. The mass of planet is mp=1.90×1027 kg. The…

Q: A typical neutron star may have a mass equal to that of the Sun but a radius of only 10 km. (a) What…

A:

Q: What is the escape speed on a spherical asteroid whose radius is 274 km and whose gravitational…

A:

Q: (a) Evaluate the gravitational potential energy (in J) between two 6.00 kg spherical steel balls…

A: Answer:-  (a)  Mass of a ball(m1) = 6.00 kg  Mass of second ball(m2) = 6.00kg  The initial center to…

Q: (a) What is the escape speed on a spherical asteroid whose radius is 803 km and whose gravitational…

A:

Q: (a) Evaluate the gravitational potential energy (in J) between two 4.00 kg spherical steel balls…

A: (a) Given: The mass of the shell is 4.00 kg. The distance between the centers is 19.0 cm.

Q: a) If the legendary apple of Newton could be released from rest at a height of 4.2 m from the…

A: (a) Using conservation of energy,

Q: If the legendary apple of Newton could be released from rest at a height of 2.5 m from the surface…

A: Given,

Q: A massive black hole is believed to exist at the center of our galaxy (and most other spiral…

A:

Q: A 4500-kg spaceship is in a circular orbit 170 km above the surface of Earth. It needs to be moved…

A: The potential energy of a satellite at a height is given by  U = - G M mR + h where, M is the mass…

Q: An object of mass m is launched from a planet of mass M and radius R. a)Derive and enter an…

A: Let object be thrown with velocity VeTo reach (Just) r=∞ , when object reaches , V'=0Apply…

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.