If you stood on a planet having a mass four times higher than Earth's mass,and a radius two times longer than Earth's radius,you would weigh
A)the same as you do on Earth.
B)two times more than you do on Earth.
C)two times less than you do on Earth.
D)four times more than you do on Earth.

Question

Quizplus · Accepted Answer

Weight on a planet is given by W = (G * m1 * m2) / r^2, where G is the gravitational constant, m1 is the mass of the planet, m2 is the mass of the object, and r is the radius of the planet. If the mass of the planet is four times higher than Earth's mass and the radius is two times longer than Earth's radius, then the weight on the planet would be (4 * m1 * m2) / (2 * r)^2 = m1 * m2 / r^2, which is the same as the weight on Earth.

If You Stood on a Planet Having a Mass Four