HIGH JUMP
When holding the Olympics on the moon, there are a number of different factors that must be considered. The major one is the fact that the gravity on the moon is one sixth that on Earth. Therefore in the high jump event the results on the moon will be better than the results on Earth. The reasoning behind this is because the acceleration down due to gravity will be less on the moon.
On the moon the acceleration is 1.6 m/s2 and the acceleration on the Earth is 9.8 m/s2. A smaller acceleration in the opposing direction of which the jumper is trying to maximize her jump will be beneficial to her results. This is due to the decrease in the pull downwards on the moon compared to the pull downwards on Earth.
Since we know the displacement (how high she jumped) on Earth is 2.06 meters, the initial velocity on both the Earth and the moon is 0 m/s2, and the acceleration on Earth is 9.8 m/s2 and on the moon its 1.6 m/s2,, we can determine the velocity on Earth. This value for the velocity will be the same on both the Earth and the moon therefore we have enough information to determine the displacement on the moon. The Olympic record for the women’s high jump on the Earth is 2.06 meters and the Olympic record for the women’s high jump on the moon would be 12.6175 meters.

WEIGHTLIFTING
When the Olympics are held on the moon and the weightlifting event takes place, the results on the moon will be better than the results on the Earth. This is due to the fact that even though the mass of the weights is going to be the same on both the Earth and the moon, the weights will be different. Because of the force of gravity will be less on the moon, the weights will seem lighter than they really are on the moon.
Because we know the gravity on Earth is 9.8 m/s2 and the women’s record for weightlifting is 97.5 kilograms, we can from there determine the amount of force the woman is capable of producing. The force the woman is capable of producing will not change on the moon, so on both the Earth and the moon the woman can produce a force of 955.5 Newtons. So using the formula m=F/a, the accelration of gravity on the moon as 1.6 m/s2, and the force as 955.5 NEwtons, we can find the amount of weight the woman is capable of lifting on the moon. The Olympic record for weightlifting on Earth is 97.5 kilograms and the Olympic record for weightlifting on the moon is 597.1875 kilograms.