The escape velocity is a function of a planet’s radius and mass. We also know that...
The escape velocity is a function of a planet’s radius and
mass.
We also know that the mass of an object is M = ρV where ρ is the
mass density and V is the
volume. The volume of a sphere is V = (4/3) π R3
a.) combine the formula for the escape velocity with the additional
relationships given above and find an expression for the escape
velocity as a function of the mass density and radius of a
planet.
b.) The radius of the moon is 1738 km and its mass is 7.34∙1022
kg.
Use these values to find the mass density of the moon.
c.) On Earth, if a stone is launched upwards at 40 m/s it will
fly upwards and then fall back down to
the ground. However on a very small planet, a stone thrown at 40
m/s could escape the planet.
Use your answers to problems (a) and (b) to find the radius of a
small planet where the escape
velocity is 40 m/s.
Homework Answers
Add Answer to:
The escape velocity is a function of a planet’s radius and
mass.
We also know that...
Please answer the entire question step by step 4) The escape velocity on the surface of...
Please answer the entire question step by step
4) The escape velocity on the surface of a planet is given by 2GM V= R 1 S where G = 6.67 x 10-11 m² kg :-2 is Newton's gravitational constant, M is the mass of the planet, and R is the radius of the planet. The escape velocity is the velocity you have to thrown an object so that it does not come back down (better hit the gym!). Write v...
please explain the answer 4) The escape velocity on the surface of a planet is given...
please explain the answer
4) The escape velocity on the surface of a planet is given by 2GM R where G = 6.67 x 10-11m2 kg-1 3-2 is Newton's gravitational constant, M is the mass of the planet, and R is the radius of the planet. The escape velocity is the velocity you have to thrown an object so that it does not come back down (better hit the gym!). Write v in terms of average mass density p. Recall...
The escape velocity for the planet with a mass of 8.00 x 10^25 kg and a...
The escape velocity for the planet with a mass of 8.00 x 10^25 kg and a radius of 24,500 km is ____ m/s.
Q4) Within the discussion about the planets we introduced to concept of Escape Velocity. Generally speaking,...
Q4) Within the discussion about the planets we introduced to concept of Escape Velocity. Generally speaking, Escape Velocity is describe by the following equation: 2 GM v=aR Where M is the mass of the planet, R is the radius of the planet, and Gis the Gravitational constant. Given this information, rank the following five planets in order of INCREASING escape velocity. You will not actually need the value of G in order to complete your rank! Briefly explain the order...
What is the escape velocity from the surface of a planet, with a mass m =...
What is the escape velocity from the surface of a planet, with a mass m = 6.39 times 10^23 kg, and a radius r = 3390. Km? (be careful of the units, and use G = 6.67 times 10^-11 N m^2/kg^2) 1550 m/s 2340 m/s 4620 m/s 4970 m/s 5010 m/s
The Schwarzschild radius is the distance from an object at which the escape velocity is equal...
The Schwarzschild radius is the distance from an object at which the escape velocity is equal to the speed of light. A black hole is an object that is smaller than its Schwarzschild radius, so not even light itself can escape a black hole. The Schwarzschild radius r depends on the mass m of the black hole according to the equation 2Gm r = where G = 6.673 x 10-11 N.m²/ kg? is the gravitational constant and c = 2.998...
Using the mass and radius of the Sun given under the "Vital Statistics" section of Chapter...
Using the mass and radius of the Sun given under the "Vital Statistics" section of Chapter 10 in your textbook, calculate the Sun's average density. Note: Remember that the radius is half the diameter and be sure to convert from kilometers to meters before using in the calculations. Use the following equations: LaTeX: V=\frac{4}{3}\pi r^3 V = 4 3 π r 3 where V = volume (m3) and r = radius (m) LaTeX: \rho=\frac{m}{V} ρ = m V where LaTeX:...
A) A planet has a radius of 4400 kilometers. It also has a mass of 4.32...
A) A planet has a radius of 4400 kilometers. It also has a mass of 4.32 × 1024 kilograms. What is the surface gravity of this planet? __________ m/s2 B) A satellite is in a circular orbit around this planet at an altitude of 308 kilometers. How fast is it moving? _______ Km/s c) What is the period of the satellite's orbit? ________ seconds D) How fast would this spacecraft have to move to achieve escape velocity? ________ km/s
Now we consider a black hole of the same mass as the Sun: Mbh 2 x 1050 k (a) (2 marks) Show that if you are launching a...
Now we consider a black hole of the same mass as the Sun: Mbh 2 x 1050 k (a) (2 marks) Show that if you are launching a rocket with velocity v upwards from a planet of mass M, you can only escape the planet's gravity if you start from a radius r > 2GM/v2 Hint: Use Newtonian mechanics What if your rocket is acutally a beam of light? If we forget about relativity for a minute, we can put...
A small satellite of mass m is in circular orbit of radius r around a planet of mass M and radius...
A small satellite of mass m is in circular orbit of radius r around a planet of mass M and radius R, where M>>m. a) For full marks, derive the potential, kinetic, and total energy of the satellite in terms of G, M, m, and r assuming that the potential energy is zero at r=infinity. b) What is the minimum amount of energy that the booster rockets must provide for the satellite to escape? c) Now we take into accouny...
Please answer the entire question step by step
4) The escape velocity on the surface of a planet is given by 2GM V= R 1 S where G = 6.67 x 10-11 m² kg :-2 is Newton's gravitational constant, M is the mass of the planet, and R is the radius of the planet. The escape velocity is the velocity you have to thrown an object so that it does not come back down (better hit the gym!). Write v...
please explain the answer
4) The escape velocity on the surface of a planet is given by 2GM R where G = 6.67 x 10-11m2 kg-1 3-2 is Newton's gravitational constant, M is the mass of the planet, and R is the radius of the planet. The escape velocity is the velocity you have to thrown an object so that it does not come back down (better hit the gym!). Write v in terms of average mass density p. Recall...
Q4) Within the discussion about the planets we introduced to concept of Escape Velocity. Generally speaking, Escape Velocity is describe by the following equation: 2 GM v=aR Where M is the mass of the planet, R is the radius of the planet, and Gis the Gravitational constant. Given this information, rank the following five planets in order of INCREASING escape velocity. You will not actually need the value of G in order to complete your rank! Briefly explain the order...
What is the escape velocity from the surface of a planet, with a mass m = 6.39 times 10^23 kg, and a radius r = 3390. Km? (be careful of the units, and use G = 6.67 times 10^-11 N m^2/kg^2) 1550 m/s 2340 m/s 4620 m/s 4970 m/s 5010 m/s
The Schwarzschild radius is the distance from an object at which the escape velocity is equal to the speed of light. A black hole is an object that is smaller than its Schwarzschild radius, so not even light itself can escape a black hole. The Schwarzschild radius r depends on the mass m of the black hole according to the equation 2Gm r = where G = 6.673 x 10-11 N.m²/ kg? is the gravitational constant and c = 2.998...
Now we consider a black hole of the same mass as the Sun: Mbh 2 x 1050 k (a) (2 marks) Show that if you are launching a rocket with velocity v upwards from a planet of mass M, you can only escape the planet's gravity if you start from a radius r > 2GM/v2 Hint: Use Newtonian mechanics What if your rocket is acutally a beam of light? If we forget about relativity for a minute, we can put...
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