Question
Download Solution PDFAstronauts inside spaceship feel ______ weight.
A. More
B. Less
C. Zero
D. Depends on G force
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCONCEPT:
- Weightlessness: The weight of a body is the force with which it is attracted towards the center of the earth.
- When a body is stationary with respect to the earth, its weight equals gravity. This weight of the body is known as its static or true weight.
EXPLANATION:
Weightlessness in a Satellite:
- A satellite, which does not produce its own gravity moves around the earth in a circular orbit under the action of gravity.
- The acceleration of the satellite is \(\frac{{GM}}{{{R^2}}}\) towards the center of the earth.
- If a body of mass m placed on a surface inside a satellite moving around the earth. Then force on the body are
The gravitational pull of the earth is
\(F = G\frac{{{M_1}{M_2}}}{{{R^2}}}\) ----- (1)
The reaction by the surface = R
By Newton’s second law,
\(G\frac{{{M_1}{M_2}}}{{{R^2}}} - R = ma\)
\(\Rightarrow G\frac{{{M_1}{M_2}}}{{{R^2}}} - R = m\left( {\frac{{GM}}{{{R^2}}}} \right)\)
⇒ R = 0
- Thus the surface does not exert any force on the body and hence its apparent weight is zero.
- A body needs no support to stay at rest in the satellite and hence all positions are equally comfortable. Such a state is called weightlessness.
- Astronauts inside spaceship feel zero weight because there is no external force. So option 4 is correct.
EXTRA POINTS:
- The first person to go into space in a spacecraft was Yuri Gagarin of the then USSR. He orbited the earth in 1961.
- The first person to step on the Moon (1969) was Neil Armstrong of USA.
- Rakesh Sharma of India orbited the earth in 1984 in a Russian spacecraft.
- Kalpana Chawla and Sunita Williams of Indian origin also participated in space explorations through missions organized by NASA (National Aeronautics and Space Administration) of USA.
Various types of Satellites:
INSAT |
Indian National Satellite |
GSAT |
Geosynchronous Satellite |
IRNSS |
Indian Regional Navigation Satellite System |
IRS |
Indian Remote Sensing Satellite |
GSLV |
Geosynchronous Satellite Launch Vehicle |
PSLV |
Polar Satellite Launch Vehicle |
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