- #1
pankildesai1
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Suppose an object is dropped from height h, where h < R but gravity is not constant). Show that the speed with which it hits the ground, neglecting friction, is approximately given by:
v = sqrt(2gh)(1 - (h/2r))
where g is the acceleration due to gravity on the surface of the Earth.
HINT: You will need to expand an expression in a MacLaurin series. Be sure to expand an expression with a small value, so higher order terms can be ignored.
v = sqrt(2gh)(1 - (h/2r))
where g is the acceleration due to gravity on the surface of the Earth.
HINT: You will need to expand an expression in a MacLaurin series. Be sure to expand an expression with a small value, so higher order terms can be ignored.