(a) A space vehicle is launched vertically upward from the Earth\'s surface with

Question

(a) A space vehicle is launched vertically upward from the Earth's surface with an initial speed of

A space vehicle is launched vertically upward from the Earth's surface with an initial speed of 7.55 km/s, which is less than the escape speed of 11.2 km/s. What maximum height does it attain? A meteoroid falls toward the Earth. It is essentially at rest with respect to the Earth when it is at a height of 2.64 times 107 m above the Earth's surface. With what speed does the meteorite (a meteoroid that survives to impact the Earth's surface) strike the Earth?

Explanation / Answer

2nd :

0.5 mv^2 = GMm/(1/h - 1/(r)

v^2 = 2 * 6.67 *10^-11 * 6*10^24 *{(1/2.67*10^7)-1/(6.4*10^6)

V^2 =   95.55 *10^6

V = 9.77 km/s

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