When comparing certain amino acid sequences in the protein hemoglobin of humans to those of other animals, scientists found that baboons had seven different amino acids (than the human protein), dogs had ten different amino acids, gorillas had one different amino acid and lemurs had eight different amino acids. which of these animals is most closely related to humans

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Mass is the amount of matter in an object.  weight is the measurement of the pull of gravity on an object.  say for example, you travel to the moon which has a different gravitational field compared to the gravitational field of earth. (gravitational fields: earth = 1, moon = 0.165)  now when you are on the moon, the pull of gravity on you is different than on the earth. and as weight is the measurement of the pull of gravity on an object, that means yes, your weight can and will change on the moon.  however, on the moon, on earth or even on jupiter, the amount of mass inside of you remains the same. meaning your physical mass remains constant.  in conclusion it is possible for your weight to change as your mass remains constant.