5. You throw a ball of mass m straight up with initial speed vo. (a) What would be the maximum height of the ball if there were no drag force on the ball? (b) Is the drag force a conservative force? Suppose the ball reaches a maximum height that is 80% of the value you found in (a) due to the drag force. With this information, (c) Derive an upper and lower bound on the speed at which the ball will strike the ground. Explain your reasoning! Hint: for the upper bound, pretend there is no drag force on the way down. (d) Explain why the actual speed at which the ball will strike the ground is neither exactly the upper nor lower bound you found in (c).
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.
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