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Chapter 8: Problem 77

The weight of an astronaut, in an artificial satellite revolving around the earth, is (a) Zero (b) Equal to that on the earth (c) More than that on the earth (d) Less than that on the earth

Short Answer

Expert verified
The weight of an astronaut, in an artificial satellite revolving around the earth is 'Zero' (option a).

Step by step solution

01

Understanding Gravity

The first step is to understand that weight is the force that gravity exerts on an object. It's calculated by the formula: Weight = mass * gravity. This implies that the weight of an object changes with the intensity of the gravitational field it is in.
02

Understanding Weightlessness

When an astronaut is in an artificial satellite revolving around the Earth, they are in free fall towards in the Earth. But the satellite's horizontal motion means it keeps 'missing' the Earth as it falls, creating an orbit. This continuous free fall creates the sensation of weightlessness.
03

Analyzing the Given Options

Using the information from the previous two steps, an astronaut will feel weightless in an artificial satellite, and their weight in relation to earth would be 'Zero'.

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Most popular questions from this chapter

A ball is dropped from a spacecraft revolving around the earth at a height of \(120 \mathrm{~km}\). What will happen to the ball (a) It will continue to move with velocity \(v\) along the original orbit of spacecraft (b) If will move with the same speed tangentially to the spacecraft (c) It will fall down to the earth gradually (d) It will go very far in the space

If mass of earth is \(M\), radius is \(R\) and gravitational constant is \(G\), then work done to take \(1 \mathrm{~kg}\) mass from earth surface to infinity will be (a) \(\sqrt{\frac{G M}{2 R}}\) (b) \(\frac{G M}{R}\) (c) \(\sqrt{\frac{2 G M}{R}}\) (d) \(\frac{G M}{2 R}\)

Energy required to move a body of mass \(m\) from an orbit of radius \(2 R\) to \(3 R\) is (a) \(\frac{G M m}{12 R^{2}}\) (b) \(\frac{G M m}{3 R^{2}}\) (c) \(\frac{G M m}{8 R}\) (d) \(\frac{G M m}{6 R}\)

Two satellites are moving around the earth in circular orbits at height \(R\) and \(3 R\) respectively, \(R\) being the radius of the earth, the ratio of their kinetic energies is (a) 2 (b) 4 (c) 8 (d) 16

In some region, the gravitational field is zero. The gravitational potential in this region (a) Must be variable (b) Must be constant (c) Cannot be zero (d) Must be zero
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