Question icon
Grade 11Mechanics

In November 1984, astronauts Joe Allen and Dale Gardner salvaged a Westar-6 communication satellite from a faulty orbit and placed it into the cargo bay of the space shuttle Discovery; see Fig. 3-22. Describe the experience, Joe Allen said of the satellite, “It’s not heavy; it’s massive.” What did he mean?
src=data:image/png;base64,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

Profile image of Radhika Batra
11 Years agoGrade 11
Answers icon

1 Answer

Profile image of Kevin Nash
11 Years ago
Mass is the quantity of matter that contained in the body. So, qualitatively, the mass of a body is the opposition offered by a body when a force tries to produce acceleration in it. Thus, it is the property of a body that determines its resistance to a change in its motion.
The Earth’s gravity exerts a downward force on any object near its surface. That object is attracted directly toward the center of the Earth with a force we call the object’s weight. So the downward force of the Earth’s gravity acting on the body is called the weight of the body.
The satellite’s weight is proportional to the local strength of gravity, which is measured by a downward vector called the acceleration due to gravity. Thus the weight of the satellite is different for different place, since the value of g is different for different place. But mass of the body will remain constant everywhere like Earth’s surface and surface of the Mars. It does not vary place to place. Therefore, the mass of a body does not vary with changes in its local weight. Again the true weightlessness can achieve by the satellite in the deep space where there is no gravity, even the satellite having mass. The word is massive is coming from the mass. Since mass of the satellite remain constant everywhere, therefore it is better to say the satellite is massive not heavy.