Space Shuttle launch The mass of the Space Shuttle at launch was about 2 .1 × 10 6 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 3 .2 × 10 5 m ( 200 mi ) to6 .2 × 10 5 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 3 .46 × 10 7 N of thrust during liftoff. What was the momentum of the Space Shuttle 10 s after liftoff closest to? a . 2 .1 × 10 kg ⋅ m/s down b . 2 .1 × 10 6 kg ⋅ m/s up c . 2 .1 × 10 7 kg ⋅ m/s up d . 1 .3 × 10 8 kg ⋅ m/s up e . 1 .3 × 10 8 kg ⋅ m/s down
Space Shuttle launch The mass of the Space Shuttle at launch was about 2 .1 × 10 6 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 3 .2 × 10 5 m ( 200 mi ) to6 .2 × 10 5 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 3 .46 × 10 7 N of thrust during liftoff. What was the momentum of the Space Shuttle 10 s after liftoff closest to? a . 2 .1 × 10 kg ⋅ m/s down b . 2 .1 × 10 6 kg ⋅ m/s up c . 2 .1 × 10 7 kg ⋅ m/s up d . 1 .3 × 10 8 kg ⋅ m/s up e . 1 .3 × 10 8 kg ⋅ m/s down
Space Shuttle launch The mass of the Space Shuttle at launch was about
2
.1
×
10
6
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
3
.2
×
10
5
m
(
200 mi
)
to6
.2
×
10
5
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
3
.46
×
10
7
N
of thrust during liftoff.
What was the momentum of the Space Shuttle 10 s after liftoff closest to?
a
. 2
.1
×
10 kg
⋅
m/s down
b
. 2
.1
×
10
6
kg
⋅
m/s up
c
. 2
.1
×
10
7
kg
⋅
m/s up
d
. 1
.3
×
10
8
kg
⋅
m/s up
e
. 1
.3
×
10
8
kg
⋅
m/s down
EXCEL Spring Problem:
An experiment is conducted to determine the value of a spring constant. Objects of varied mass are suspended from the spring and the spring deflections are measured. The results are as follows:
Mass, m (kg)
Deflection, x (mm)
5.3
15
7.1
22
10.2
31
12
38
15.4
45
Use EXCEL to determine the spring constant, k, in N/m.
A team of astronauts is on a mission to land on and explore a large asteroid. In addition to collecting samples and performing experiments, one of their tasks is to demonstrate the concept of the escape speed by throwing rocks straight up at various initial speeds. With what minimum initial speed ?esc will the rocks need to be thrown in order for them never to "fall" back to the asteroid? Assume that the asteroid is approximately spherical, with an average density ?=2.93×106 g/m3 and volume ?=1.94×1012 m3 . Recall that the universal gravitational constant is ?=6.67×10-11 N·m2/kg2 .vesc = ? m/s
Center of Mass.
c) The mass of the Sun is 2x1030 kg. The distance between the Earth and the Sun is 1.5x108 km.
How does the distance between the CM of this system compare to the Sun’s radius of 700,000 km?
Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)
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