4) You can use circular motion to estimate how quickly something must be moving

Question

4) You can use circular motion to estimate how quickly something must be moving in order to escape Earth's gravity. Assume g 10 m/s2 and that the Earth is a sphere with a radius of 64 x 105 m. What must be the horizontal velocity of an object that skims the Earth's surface without ever touching it This comes out to about 18000 mph, which is 25% lower than the actual value with air resistance. 5) As the name implies, a "geostationary" orbit is when an object in space remains over the same point on Earth. The radius of such an orbit is about 45000 km, and of course it completes an orbit every 24 hours (use 9x10's). About how quickly is such a satellite moving? Assume 3. 6) Consider a banked curve where the road surface is tilted at an angle above horizontal, tipped toward the inside of the curve of radius R. The coefficients of static and kinetic friction between ment and tires are . and . Give an accurate "Fama" equation for each dimension if a car of mass M is taking the curve at speed v, the maximum speed possible without sliding. You may leave Fa as a term, but phrase everything else in terms of given quantities pave

Explanation / Answer

4) for an object to escape, its velocity at infinity must be zero,

Its total energy on earth must be zero.

KE - GMm/r = 0

0.5v^2 - GM/r =0

v = sqrt (2GM/r) = sqrt (2*gr)

= sqrt (2*10*64e5)

= 11314 m/s answer

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