How would the gravitational potential energy of planets A and B in the previous problem change if the star they were orbiting suddenly collapsed to half its size without its mass changing? (A) The gravitational potential would be four times larger (B) The gravitational potential would be two times larger (C) The gravitational potential would not change (D) The gravitational potential would be half as large (E) The gravitational potential would be one fourth as large

Q: Show that critical vel orbiting in a circular orbit very close to the surface of a planet of radius…

A: To show that- VC=2RπρG3Critical velocity of a body orbiting in a circular orbit close to planet is…

Q: In a spaceship accelerating at g, far from Earth’s gravity, how does the motion of a dropped ball…

A: Given:  A spaceship accelerating at g.

Q: What is the force of gravity on an 80kg astronaut in an orbit around the earth 500 miles above the…

A: Given data The mass of the astronaut is given as m2 = 80 kg. the elevation of astronaut=500 miles…

Q: Can we make an object gravity free on earth?

A: solution: GIven that Can we make an object gravity free on earth

Q: If an observer moves 10 times further away from the sun that earths orbit

A:

Q: How is the gravitational force between two point masses affected when they are dipped in water…

A: The expression for the gravitational force acting between two point masses m1 and m2 is given by,

Q: At perihelion, a planet will have     maximum energy of position and maximum energy of motion…

A: A central force is a function of position only. The central force acting on a particle is always…

Q: Calculate the deflection of light caused by the gravity of a star of mass 2.1M sun and radius…

A: A large gravitational source is capeable of bending the space around it. This will cause the light…

Q: Two astronomical bodies are 2 miles apart at first. How will the gravitational acceleration between…

A:

Q: What are the dangerous of gravitational waves

A: The dangerous of gravitational waves are mention below 1-When a gravitational wave gets emitted, the…

Q: Calculate binding energy of an artificial satellite orbiting at a height of 3600km surface (G=6.67X…

A: We need to compute-Binding energy (BE)=?The data given as-Mass of satellite (m)=100 kgHeight…

Q: according to the universal gravitational Newton's law, the gravity exists between any two massed…

A:

Q: What will be the potential energy of 1kg kept at height of 5 m. mass Take g 10 m/s? %3D

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: Why will the gravitational field intensity increase on the surface of a shrinking star?

A: Given:  Gravitational field intensity

Q: The escape velocity of a projectile from the earth is approximately ___________ a) 7km/sec b)…

A: B

Q: Given the resonance of the planets around the star Kepler 223 of 8:6:4:3 how much faster does the…

A: Required : How fast does the second planet circles compared to the planet furthest from the star.…

Q: What would happen to the distance between Jupiter and the Sun if the Sun shed mass onto Jupiter?

A: Gravity is an attractive force it exists between objects with mass.   In a binary system, the…

Q: Discuss briefly some problems of weightlessness.

A: Weightlessness is the complete or absence of the sensation of weight. In response to an extended…

Q: Calculate the period T of a planet whose orbit has a semimajor axis of 6.1 AU.

A: Semi-major axis  R = 6.1 AU According to Kepler third law, T2=R3T=R32

Q: Describe what you notice about the values for the total energy for planets in orbit, and obtain why…

A: Planets in orbit around a star typically have a total energy that is close to zero, which is the…

Q: Is this equation = to newtons law of universal gravity? and we ignore mass because it does not…

A:

Q: A 5000 kg lunar lander is in orbit 80 km above the surface of the moon. It needs to move out to a…

A: Given data: The mass of lunar lander is M=5000 kg. The orbit of lunar lander is h=80 km. The final…

Q: How to calculate the average mass loss with 2 different mass loss at the same time(both of the two…

A:

Q: needed to leave a

A:

Q: If an astronaut who is orbiting the planet at a radius of 3R wants to move their orbit to a radius…

A: The graph you are talking about shows how the potential energy of an object changes with distance…

Q: Can the reduced mass of two-bodies be greater than each of the individual masses? Why or why not?

A:

Q: Triton moon is 354,000 km away from the center of Neptune, if its time period around Neptune is 5.87…

A:

Q: If instead of a cannonball we were to launch a rocket, at what minimum speed will the rocket be able…

A: The minimum speed needed by the body to escape from the gravitational field of the planet is…

Q: (a) A reasonably accurate value for the AU is 1.50 × 101 m. If the year is a × 107 s, (2) (a good…

A: The distance between the earth and sun is equal to 1 AULet r=1.5×1011 m=1.5×108 km The time taken by…

Q: what effect will perturbations caused by an inhomogeneous gravity field of Earth have on a satellite…

A: In this question we have to answer what effect will perturbations caused by an inhomogeneous gravity…

Q: "In special relativity, mass and energy are equivalent." Discuss this statement and give examples.

A: Solution attached in the photo

Q: (c) Typically, black holes catch stars rather than people. Find the distance from the black hole at…

A: Black hole capture hairstorm and form a star. The rate of capturing star by the black hole is depend…

Q: Escape velocity from Earth for an object with mass 2m as compared with an object of mass m is: Group…

A:

Q: Suppose a star has the same mass as the Sun but has a diameter 5 times as large. Compare the total…

A: Given: It is given that suppose a start has the same mass as the Sun but has a diameter 5 times as…

Q: The gravitational force between masses M1 and M2 separated by a distance R is F. What will be the…

A: Gravitational force is the force between two masses when they are separated by a distance then they…

Q: A 8,987 kg point mass and a 3,812 kg point mass are separated by 1 cm. Calculate the size of the…

A: The gravitational force is given by  F =G m m'r2

Relativistic Energy and Momentum

According to classical physics, time flow is the same for every observer. But according to einstein's theory, time flow is different for different observers. The idea that time flow is not the same for all may sound strange because we may not experience this effect in everyday life. This effect is only observed when an object moves with some velocity comparable to the velocity of light. This velocity is termed relativistic velocity.