Physics
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The radius of Jupiter is 11.2 times the radius of the Earth and its mass is 317 times that of the Earth. Determine the density of Jupiter. Assume that Jupiter is a sphere and that the average density of the Earth is 5500 kg/m3.
An exoplanet has a mean radius equal to 0.09 times the radius of Earth and a mass equal to 0.00023 times the mass of Earth. What would be the gravitational acceleration at the exoplanet's surface?
Uranus's mass is 14.5 times that of the Earth, and its radius is 4 times the radius of the Earth. What would you weigh at Uranus' surface if you weighed 800 N on Earth's surface?
The mass of an exoplanet beyond our solar system is triple that of Earth, and its radius is half of Earth's radius. Using the previous information, calculate the gravitational acceleration at the exoplanet's surface.
The acceleration due to Earth's gravity at a given point in Earth's atmosphere is 8.70 m/s² instead of 9.80 m/s² at the Earth's surface. What is the altitude of this point above the Earth's surface?
At the south pole, a metallic sphere is suspended from a string. The measured tension in the string is 50.00 N. If you use the same device at the equator, what would be the tension in the string? Remember that the Earth rotates on an axis that passes through its north and south poles. Take g = 9.81 m/s2.
Assume the radius of the earth is increased keeping its mass constant. Determine the ratio of its new radius to the old one if the acceleration due to gravity at the surface is half its original value.
A satellite is orbiting a planet at an altitude where free-fall acceleration is one-third of its value at the planet's surface. What is the distance of the satellite from the planet's surface? Express your answer as a multiple of the planet's radius.
The moon of Jupiter has a radius of 3270 km and a free-fall acceleration at its surface of 1.79 m/s². What is the mass of the moon?
Suppose there is a planet with a mass that is 4 times the mass of the Earth. If a spaceship lands on the planet's surface, it measures the free-fall acceleration to be 1/8 of that of the Earth's acceleration due to gravity. Determine the radius of the planet.