A rocket is designed to be launched to space with an acceleration defined by the equation given below where "y" is the altitude of the rocket in the time of flight and "R" is the radius of the earth equal to 6,400 kilometers. What is the minimum value of velocity so that the rocket will not fall back to earth. In this case use the situation that the final velocity is zero as the value of "y" approaches infinity. Express your answer in unit of km/hr. a = -9.81[R² /(R + y)²]
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.
![A rocket is designed to be launched to
space with an acceleration defined by
the equation given below where "y" is
the altitude of the rocket in the time of
flight and "R" is the radius of the earth
equal to 6,400 kilometers. What is the
minimum value of velocity so that the
rocket will not fall back to earth. In this
case use the situation that the final
velocity is zero as the value of "y"
approaches infinity. Express your
answer in unit of km/hr.
a = -9.81[R² / (R + y)²]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd81a92ee-1000-4b83-a94c-55bf261d533f%2Fbb74d5a8-06e2-4065-86cd-8b63a03e9e9d%2F7mi64oi_processed.jpeg&w=3840&q=75)
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