contestada

5. A person weighs 85N on the surface of the moon and 490N on the surface of the earth. What is the acceleration of gravity on the surface of the moon?

Respuesta :

Mass is constant

  • F_1=85N
  • F_2=490N
  • g_1=?
  • g_2=10m/s^2

[tex]\\ \rm\Rrightarrow F=ma[/tex]

[tex]\\ \rm\Rrightarrow m=\dfrac{F}{a}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{F_1}{g_1}=\dfrac{F_2}{g_2}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{85}{g_1}=\dfrac{490}{10}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{85}{g_1}=49[/tex]

[tex]\\ \rm\Rrightarrow g_1=\dfrac{85}{49}[/tex]

[tex]\\ \rm\Rrightarrow g_1=1.73m/s^2[/tex]

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