Let's explore the uniformity of the gravitional force near the surface of the earth. Compare the magnitude of gravitational interaction force between the earth and a person of mass m = 75 kg... using the universal gravitation force law, when the person is at sea level: using the universal gravitation force law, when the person is in a plane a height h = 12000 m above sea level: using the uniform gravitation approximation, with 9 = 9.8 m/s²: F = F = F = N N N For this problem, your numerical inputs must be accurate to within 0.5 newtons. Useful data for your convenience: Mass of Earth: ME = 5.97 x 1024 kg RE6.37 x 106 m Radius of Earth: Universal Gravitation Constant: G = 6.67 × 10-¹¹ N. m²/kg² Comment: Observe that all three forces have roughly the same value, justifying our use of W = mg to calculate the gravitational force exerted by the Earth on everyday objects.
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.
Given :
Mass of person m= 75 kg
Mass of Earth and radius is ME =5.97(1024 )kg and RE =6.37(106 ) m
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
