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The mass of the Space Shuttle at launch is about 2.3×10^6kg. Much of this mass i

ID: 1337134 • Letter: T

Question

The mass of the Space Shuttle at launch is about 2.3×10^6kg. Much of this mass is the fuel used to move the orbiter, which carries the astronauts and various items in the shuttle's payload. The Space Shuttle generally travels from 3.2×10^5m(200mi) to 6.2×10^5m(385mi) above Earth's surface. The shuttle's two solid fuel boosters (the cylinders on the sides of the shuttle) provide 71.4% of the thrust during liftoff and the first stage of ascent before being released from the shuttle 126 s after launch at 48,000-m above sea level. The boosters continue moving up in free fall to an altitude of approximately 70,000 m and then fall toward the ocean to be recovered 230 km from the launch site. The shuttle's five engines together provide 3.51×10^7N of thrust during liftoff.

Explanation / Answer

Shuttle reaches 48,000 m in 126 sec.

Initial velocity = 0 ( in vertical )

Using h = ut + at^2 /2 {u = 0}

48,000 =0 + at^2 /2

96,000 = a(126)^2

a = 6.05 m/s^2 upwards