Avoid Armageddon!

Classical Mechanics Level 1

Due to a strong Gravity wave Earth and Jupiter are in collision course with each other, Scientists thought of a solution, it is to place a large rocket on one of the planets and change the direction. Now you be the scientist and answer which planets direction can be changed easily.

Points to consider: Jupiter is so many times massive than the Earth, think that both are traveling at the same velocity

Jupiter Earth

Krishna Kanth Dasari by Krishna Kanth Dasari , 29, India

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2 solutions

Changing the direction essentially means changing the momentum. According to Newton's second law, the rate of change of momentum is directly proportional to the force applied. So a larger force is required to change a larger momentum. Jupiter is much more massive than the Earth, therefore at the same velocity, Jupiter has more momentum than the Earth, hence changing Earth's momentum is far easier than Jupiter's.

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Well this is obvious; this is the same principle as why our legs stick to ground. This is basically saying which is easier to pull away, you or the ground (which is the whole earth). It's obviously you because you weigh less, thus we can use the same principle here and see which one ways more. Well Jupiter is a bigger planet than earth thus it weighs more than earth; so finally we know that earth is a lighter, thus easier to move than Jupiter.

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