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A satellite of mass 1000 {~kg} is supposed to orbit the earth

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A satellite of mass $1000 kg$ is supposed to orbit the earth at a height of $2000 km$ above the earth's surface. Find (a) its speed in orbit, (b) its kinetic energy, (c) the potential energy of the earth-satellite system and (d) its time period. Mass of the earth $= 6 \times 1 0^{24} kg$ .

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Mechanics Volume 2 (DC Pandey)

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A satellite of mass

1000 kg

is supposed to orbit the earth at a height of

2000 km

above the earth's surface. Find (a) its speed in orbit, (b) its kinetic energy, (c) the potential energy of the earth-satellite system and (d) its time period. Mass of the earth

= 6 \times 1 0^{24} kg

15 mins ago

Discuss this question LIVE

15 mins ago

Text solutionVerified

(a)

v = \frac{GM}{r} = \frac{GM}{R + h} = 6.90 km / s

(b)

KE = \frac{GM m}{2 r} = \frac{GM m}{2 ( R + h )} = 2.38 \times 1 0^{10} J

(c)

PE = - \frac{GM m}{r} = - \frac{GM m}{( R + h )} = - 4.76 \times 1 0^{10} J

(d)

T = \frac{2 π}{GM} r^{3/2} = \frac{2 π}{GM} (R + h)^{3/2} = (\frac{21}{106})^{3/2} (24) h

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Question Text	A satellite of mass $1000 kg$ is supposed to orbit the earth at a height of $2000 km$ above the earth's surface. Find (a) its speed in orbit, (b) its kinetic energy, (c) the potential energy of the earth-satellite system and (d) its time period. Mass of the earth $= 6 \times 1 0^{24} kg$ .
Topic	Gravitation
Subject	Physics
Class	Class 11
Answer Type	Text solution:1
Upvotes	76

A satellite of mass $1000 kg$ is supposed to orbit the earth at a height of $2000 km$ above the earth's surface. Find (a) its speed in orbit, (b) its kinetic energy, (c) the potential energy of the earth-satellite system and (d) its time period. Mass of the earth $= 6 \times 1 0^{24} kg$ .

Text solutionVerified

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A satellite of mass 1000 kg is supposed to orbit the earth at a height of 2000 km above the earth's surface. Find (a) its speed in orbit, (b) its kinetic energy, (c) the potential energy of the earth-satellite system and (d) its time period. Mass of the earth =6×1024 kg.

Text solutionVerified

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A satellite of mass $1000 kg$ is supposed to orbit the earth at a height of $2000 km$ above the earth's surface. Find (a) its speed in orbit, (b) its kinetic energy, (c) the potential energy of the earth-satellite system and (d) its time period. Mass of the earth $= 6 \times 1 0^{24} kg$ .