Chapter 6, Problem 90RPP

Space Shuttle launch The mass of the Space Shuttle at launch was about $\text{2}\text{.1 }\times {\text{ 10}}^{\text{6}}\text{kg}$. Much of this mass was the fuel used to move the orbiter, which carried the astronauts and various items in the shuttle’s payload. The Space Shuttle generally traveled from $\text{3}\text{.2 }\times {\text{ 10}}^{\text{5}}\text{m }\left(\text{200 mi}\right)\text{ to6}\text{.2 }\times {\text{ 10}}^{\text{5}}\text{m}$

(385 mi) above Earth’s surface. The shuttle’s two solid fuel boosters (the cylinders on the sides of the shuttle) provided 71.4% of the thrust during liftoff and the first stage of ascent before being released from the shuttle 132 s after launch at 48,000 m above sea level. The boosters continued moving up in free fall to an altitude of approximately 70,000 m and then fell toward the ocean to be recovered 230 km from the launch site. The shuttle’s five engines together provided $\text{3}\text{.46 }\times {\text{ 10}}^{\text{7}}\text{N}$ of thrust during liftoff.

What answer below is closest to the speed of the shuttle and boosters when they were released? Assume that the free-fall gravitational acceleration at this elevation is about $\text{9}{\text{.6 m/s}}^{\text{2}}$ down.

a. 100 m/s

b. 300 m/s

c. 600 m/s

d. 1000 m/s