Question #29701

What is the weight of 76kg astronaut on earth? What is the weight of the astronaut on the moon ( g = 1.67 m/s ^2)? What is the weight of the astronaut on mars (g= 3.6 m/s ^2)?

Expert's answer

What is the weight of 76kg astronaut on earth? What is the weight of the astronaut on the moon (g = 1.67 m/s ^2)? What is the weight of the astronaut on mars (g= 3.6 m/s ^2)?

Solution.

m=76kg,gEarth=9.8ms2,gMoon=1.67ms2,gMars=3.6ms2;m=76kg,g_{Earth}=9.8\frac{m}{s^{2}},g_{Moon}=1.67\frac{m}{s^{2}},g_{Mars}=3.6\frac{m}{s^{2}};

FEarth?FMoon?FMars?F_{Earth}-?F_{Moon}-?F_{Mars}-?

The weight of astronaut on Earth:

FEarth=mgEarth;F_{Earth}=mg_{Earth};

FEarth=76kg9.8ms2=744.8N.F_{Earth}=76kg\cdot 9.8\frac{m}{s^{2}}=744.8N.

The weight of astronaut on Moon:

FMoon=mgMoon;F_{Moon}=mg_{Moon};

FMoon=76kg1.67ms2=130.26N.F_{Moon}=76kg\cdot 1.67\frac{m}{s^{2}}=130.26N.

The weight of astronaut on Mars:

FMars=mgMars;F_{Mars}=mg_{Mars};

FMars=76kg3.6ms2=273.6N.F_{Mars}=76kg\cdot 3.6\frac{m}{s^{2}}=273.6N.

Answer:

The weight of astronaut on Earth is FEarth=744.8NF_{Earth}=744.8N.

The weight of astronaut on Moon is FMoon=130.26NF_{Moon}=130.26N.

The weight of astronaut on Mars is FMars=273.6NF_{Mars}=273.6N.


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