Question

The weight of an astronaut, plus his suit, on the moon is only 176 N. How much do they weigh on Earth? (Assume that the acceleration due to gravity of the moon is 1.67 m/s².)

Answer 1

weight = mass * acceleration due to gravity

mass is constant . but weight is not constant

given weight  of an astronaut, plus his suit, on the moon is 176 N

and  acceleration due to gravity of the moon is 1.67 m/s²

176 =( mass of  an astronaut, plus his suit )* 1.67

( mass of  an astronaut, plus his suit ) = 105.38 kg

acceleration due to gravity of the earth = 9.8 m/s²

Now, weight of an astronaut, plus his suit, on the earth = ( mass of  an astronaut, plus his suit ) *( acceleration due to gravity of the earth)

weight of an astronaut, plus his suit, on the earth = 105.38 *9.8 N = 1032.81 N

hence , weight of an astronaut, plus his suit, on the earth is 1032.81 N

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