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the sentence in the middle reads \"mars has a radius of about 3.4 x 10^6 m and a

ID: 1616230 • 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."

when set in motion, what must the spring constant at he spring be? 4. Here's a problem that tests your ability to link concepts from this week with previous material (though it's just one question you'll have to link a few ideas here), Mars has a radius a about 3.4 x 10 m and a mass af about 6.4x10'3kg. If I take a 1.4 m pendulum to Mars and set it swinging at a small angle, what will the pendulum period be? 5. A certain pendulum on planet zhas a period of 5 seconds. Ir you double the

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