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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?

User Mateusmaso
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1 Answer

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Mass is constant

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


\\ \rm\Rrightarrow F=ma


\\ \rm\Rrightarrow m=(F)/(a)


\\ \rm\Rrightarrow (F_1)/(g_1)=(F_2)/(g_2)


\\ \rm\Rrightarrow (85)/(g_1)=(490)/(10)


\\ \rm\Rrightarrow (85)/(g_1)=49


\\ \rm\Rrightarrow g_1=(85)/(49)


\\ \rm\Rrightarrow g_1=1.73m/s^2

User Sachin Parashar
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