Easy question, looking for quick help

  • Thread starter IntegrateMe
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In summary, the weight of an object on the moon is one-sixth of its weight on Earth. The ratio of the kinetic energy of an object on Earth moving with speed V to that of the same object on the moon moving with speed V is 1:1, as the mass of an object remains the same on both Earth and the moon. The difference in weight is due to the lower gravitational acceleration on the moon. This explains why the correct answer is C, and not A.
  • #1
IntegrateMe
217
1
The weight of an object on the moon is one-sixth of its weight on Earth. The ratio of the
kinetic energy of a body on Earth moving with speed V to that of the same body moving with
speed V on the moon is:

A. 6:1
B. 36:1
C. 1:1
D. 1:6
E. 1:36

I did the calculations using KE = 1/2 mv2 and got A, but the answer is C. Any explanations? Thanks.
 
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  • #2
Using KE = 1/2 mv^2 you would get the same answer on the moon as on Earth. The formula has MASS in it, not WEIGHT. The mass of an object is the same on the moon as it is on Earth. The weight, F = mg, is different because the gravitation acceleration g is less on the moon.
 
  • #3
Wow, thanks for that! Such a silly mistake.
 

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