the sentence in the middle reads \"mars has a radius of about 3.4 x 10^6 m and a
ID: 1567651 • Letter: T
Question
the sentence in the middle reads "mars has a radius of about 3.4 x 10^6 m and a mass of about 6.4 x 10^23 kg."
Explanation / Answer
The acceleration due to gravity is equal to:
g = GM/(r^2)
Where G is the universal gravitational constant; M is the mass of the planet; r is the planet's radius
Substituting:
g = (6.67428 x 10^-11)(6.42 x 10^23) / (3.40 x 10^6)^2
g = 3.707 m/s^2 <=== Acceleration due to gravity on Mars
The period for a simple pendulum does not depend on the mass or the initial anglular displacement, but depends only on the length L of the string and the value of the gravitational field strength g
T = 2 × L / g = 3.86 s
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