3 years ago

HELP!!

1 answer:

5 0

In exothermic/exergonic reactions, reactants have greater energy(Gibbs-Free Energy) than the products. This energy determines how much mechanical work a system can do

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Astronomers observe two separate solar systems each consisting of a planet orbiting a sun. The two orbits are circular and have

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Answer:

(D) 3

Explanation:

The angular momentum is given by:

$\vec{L}=\vec{r}\ X \ \vec{p}$

Thus, the magnitude of the angular momenta of both solar systems are given by:

$L_1=Rm_1v_1=Rm_1(\omega R)=R^2m_1(\frac{2\pi}{T_1})=2\pi R^2\frac{m_1}{T_1}\\\\L_2=Rm_2v_2=2\pi R^2\frac{m_2}{T_2}$

where we have taken that both systems has the same radius.

By taking into account that T1=3T2, we have

$L_1=2\pi R^2\frac{m_1}{3T_2}=\frac{1}{3}2\pi R^2\frac{1}{T_2}m_1=\frac{1}{3}\frac{L_2}{m_2}m_1$

but L1=L2=L:

$L=\frac{1}{3}L\frac{m_1}{m_2}\\\\\frac{m_1}{m_2}=3$

Hence, the answer is (D) 3

HOPE THIS HELPS!!

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