Satellite
Mass
(kg)
An engineer is collecting data on
four different satellites orbiting
Earth. The engineer records the
satellites' distances from Earth in
kilometers (km) and their forces
due to gravity in Newtons (N).
Distance
(km)
4000
Force due to gravity
(N)
17000
1
700
2.
700
36000
3
1000
11000
4
1000
7000
8100
Estimate the values for the two
missing quantities. Enter your
estimates into the blank boxes in
the table.

Satellite Mass kg An engineer is collecting data on four different satellites orbiting Earth The engineer records the satellites distances from Earth in kilomet class=

Respuesta :

The first missing quantity is force due to gravity, and it is 215.1 N.

The second missing quantity is distance between the statellite and the Earth, determined as 6,000 km.

Force between two masses

The force between two masses is determined by applying Newton's law of universal gravitation as shown below;

[tex]F = \frac{GMm}{R^2}[/tex]

where;

  • M is mass of Earth = 5.97 x 10²⁴ kg
  • m is mass of the satellite
  • R is the distance between the satellite and the Earth
  • G is universal gravitation constant

First missing quantity

The first missing quantity is force due to gravity, and it is calculated as follows;

[tex]F = \frac{(6.67 \times 10^{-11} ) \times (5.97 \times 10^{24}) \times (700)}{(36,000 \times 10^3)^2} \\\\F = 215.1 \ N[/tex]

Second missing quantity

The second missing quantity is distance between the statellite and the Earth,

[tex]R^2 = \frac{GMm}{F} \\\\R^2 = \frac{(6.67 \times 10^{-11})(5.97 \times 10^{24})(1000)}{11,000} \\\\R^2 = 3.62 \times 10^{13}\\\\R = 6,000 \ km[/tex]

Learn more about Newton's law here: https://brainly.com/question/3999427