If the legendary apple of Newton could be released from rest at a height of 2.5 m from the surface of a neutron star with a mass 1.7 times that of our sun (whose mass is 1.99 x 1030 kg) and a radius of 19 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 difference between the gravitational acceleration at the top and at the bottom of the apple? Take the apple to be a sphere with a radius of 3.6 cm.

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Q: (a) Calculate the work (in MJ) necessary to bring a 104 kg object to a height of 991 km above the…

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A: Satellite mass m = 200kg Radius   r1=7.5×106m Radius r2=7.7×106m Mass of earth M =5.97×1024kg…

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

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Q: At apoapsis (furthest point from the star), the

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Q: A uniform solid sphere of radius R = 6400 Km produces a gravitational acceleration of a = 10m/s2 on…

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Q: A 4500-kg spaceship is in a circular orbit 190 km above the surface of Earth. It needs to be moved…

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

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Q: A 5000 kg spacecraft is in a circular orbit 2000 km above the surface of Mars. How much work must…

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Q: In introductory physics laboratories, a typical Cavendish balance for measuring the gravitational…

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Q: 32. a) Evaluate the gravitational potential energy between two 5.00-kg spherical steel balls…

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Q: (a) What is the escape speed on a spherical asteroid whose radius is 624 km and whose gravitational…

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Q: A typical neutron star may have a mass equal to that of the Sun (m = 1.99x1030kg) but a radius of…

A: Given: The mass of sun is m=1.99 x1030 kg. The radius is R=10 km. The distance of object on star is…

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Q: (a) What is the escape speed on a spherical asteroid whose radius is 103 km and whose gravitational…

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

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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: Ex. 48: Calculate the escape velocity of a body from the surface of a planet whose mass and radii…

A: To find-Escape velocity (Ve)=?Given that-M=6.4×1023 kgR=3330 km=3330×103 mG=6.67×10-11 Nm2/kg2

Q: NOTE: Your answer suggests that you have assumed constant gravitational

A: Explained as, F=-GMMR+y2

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A: Given,

Q: In 2004 astronomers reported the discovery of a large Jupiter-sized planet orbiting very close to…

A: Given that:Orbit radius of hot Jupiter=1/9 of orbit radius of Mercury around Sunr=19×5.79×1010…

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: A spaceship with m = 1.00 ✕ 104 kg is in a circular orbit around the Earth, h = 800 km above its…

A: Given: Mass of spaceship, m = 1 X104 kg Height of spaceship = 800 km Apogee , d = 3 X 104 km 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.