The highest mountain in Canada is Mount Logan with a peak height of 5959 m above sea level Assume that sea level defines the height of Earth’s surface. (rE = 6.38 x 10^6m, mE = 5.98 x 10^24 kg, G = 6.67 x 10^−11N ∙ m2/kg2 ) a) Calculate the strength of Earth’s gravitational field at the altitude of Mount Logan. b) What is the ratio of the strength of Earth’s gravitational field at the top of Mount Logan to the strength of the Earth’s surface? c) A mountain climber on top of Mount Logan wonders how fast must a satellite leave Earth’s surface to reach an orbit with an altitude 800 km above his position. Calculate the velocity of the satellite.
Gravitational force
In nature, every object is attracted by every other object. This phenomenon is called gravity. The force associated with gravity is called gravitational force. The gravitational force is the weakest force that exists in nature. The gravitational force is always attractive.
Acceleration Due to Gravity
In fundamental physics, gravity or gravitational force is the universal attractive force acting between all the matters that exist or exhibit. It is the weakest known force. Therefore no internal changes in an object occurs due to this force. On the other hand, it has control over the trajectories of bodies in the solar system and in the universe due to its vast scope and universal action. The free fall of objects on Earth and the motions of celestial bodies, according to Newton, are both determined by the same force. It was Newton who put forward that the moon is held by a strong attractive force exerted by the Earth which makes it revolve in a straight line. He was sure that this force is similar to the downward force which Earth exerts on all the objects on it.
The highest mountain in Canada is Mount Logan with a peak height of 5959 m above sea level Assume that sea level
defines the height of Earth’s surface. (rE = 6.38 x 10^6m, mE = 5.98 x 10^24 kg, G = 6.67 x 10^−11N ∙ m2/kg2
)
a) Calculate the strength of Earth’s gravitational field at the altitude of Mount Logan.
b) What is the ratio of the strength of Earth’s gravitational field at the top of Mount Logan to the strength of the Earth’s
surface?
c) A mountain climber on top of Mount Logan wonders how fast must a satellite leave Earth’s surface to reach an orbit
with an altitude 800 km above his position. Calculate the velocity of the satellite.
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