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4 years ago

How many unique values of x solve x2 + 4x + 4 = 0?

Physics

1 answer:

hjlf4 years ago

8 0

Factor it.

( x+2)(x+2) = 0

x = -2

there is only one unique value of x

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Answer: 0.0187 times the force between Sun and Earth.

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$F=G\frac {M_1M_2}{d^2}$

where G is the gravitational constant.

Let,

The mass of the Sun be $M_S$

The mass of the Earth be $M_E$

The mass of the Neptune be $M_N$

The Distance between Sun and Earth be $d_{SE}$

The Distance between Sun and Neptune be $d_{NE}$

It is given that the mass of Neptune is 17 times mass of Earth.

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The distance of Neptune from Sun is 30.1 times the distance of Earth from Sun.

$\Rightarrow D_{SN}=30.1D_{SE}$

The Force between Earth and Sun is $F_{SE}=3.5\times10^{28}N$

The Force between Neptune and Sun:

$F_{SN}=G\frac{M_SM_N}{D_{SN}^2}=G\frac{M_S17M_E}{(30.1D_{SE})^2}=\frac {17}{30.1^2}G\frac{M_SM_E}{D_{SE}^2}=\frac {17}{30.1^2}F_{SE}=0.0187F_{SE}$

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