If the Earth suddenly shrinks (without changing its mass) to half its current radius,then the new gravitational acceleration at earths surface will be
If the Earth were to suddenly shrink to half its current radius while keeping its mass constant, the gravitational acceleration (g) at the Earth's surface would be four times its current value.
Gravitational acceleration on the Earth's surface is given by the formula:
where G is the gravitational constant, M is the mass of the Earth, and R is the radius of the Earth.
If the Earth's radius becomes half its current value, the new radius (R') will be:
By substituting this value of R' in the formula for g, we get:
Therefore, the gravitational acceleration at the Earth's surface will become four times its current value if the Earth suddenly shrinks to half its current radius while maintaining a constant mass.
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