Physics
Physics, 17.03.2020 22:14, pinkycupcakes3oxbqhx

While we usually assume that the force of gravity is constant, it actually decreases with altitude according to the formula Fgrav = mgr^2_o / r^2, where ro is the radius of Earth, and r is the distance from the Earth's center.
a) Why can we approximate the force of gravity as constant at the surface of Earth?
b) Show that a(r)dr = vdv.
c) If the particle is fired vertically with velocity vo from Earth's surface, determine its velocity as a function of position r. (Hint: use the result of part b)

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While we usually assume that the force of gravity is constant, it actually decreases with altitude a...

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