3 years ago

Does a satellite have its greatest speed when it is closest to or farthest from earth?

Physics

2 answers:

Jet001 [13]3 years ago

3 0

When it is closest to the earth.

Pie3 years ago

3 0

Gravitational force is inversely proportion to the square of distance between 2 objects. So a satellite will have greatest speed when it's closer to earth.

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$= - 5.65\times 10^{-2} J$

Explanation:

Given data:

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d = 18*10^4 m

M = 18 *10^6 kg

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Gravitational energy is given as

$U =- G \frac{m_1 m_2}{r}$

mass per unit length is given as

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calculating potential energy

$dU ==-G\int_{16\times 10^4}^{18\times 10^4} \frac{m_1 *dm}{r}$

$=-G\int_{16\times 10^4}^{18\times 10^4} \frac{m_1 *\sigma dr}{r}$

$=-G*m_1*\sigma\int_{16\times 10^4}^{18\times 10^4} \frac{dr}{r}$

$=-G*m_1*\sigma \left | ln r \right |_{16\times 10^4}^{18\times 10^4}$

$=-G*m_1*\sigma ln(1.125)$

$=-6.673 \times 10^{-11}*8*10^6*900*ln(1.125)$

$= - 5.65\times 10^{-2} J$

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