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 Q10. The time period of a pendulum on Earth is 1.0 s. What would be the period of a pendulum of the same length on a planet with half the density but twice the radius of Earth?
Mass Effect Assume planet is a sphere - volume would be 8x that of earth (cubed relationship) if radius was twice as great. density = mass/volume therefore mass depends on the product of density and volume. volume increases mass by a factor of eightbut density decreases it by a factor of 2. Therefore the overall effect is that mass of the planet is four times that of Earth. - 4 g Radius effect g has a inverse square relationship with radius, so doubling the radius will decrease g by a factor of 4 Overall effect Planet will havethe same g as Earth
T will be the same 1.0 s
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