An astronaut on Mars wants to measure the change in the force of gravity from climbing its highest mountain. What happens? Gravity A. decreases linearly B. decreases exponentially C. increases linearly D. increases exponentially

Answer 1

Gravity reduces by the square of an increase in distance, so the answer is B

The gravitational force equation is

#F_g=M/r^2#

The inquiry concerns the impact of ascending the highest peak on Mars and observing the resulting changes in the local gravity field.

First of all, we can rule out options C and D because they indicate that the force will increase as we move farther away from the center of gravity. Instead, it will decrease.

So what of choices A and B? Does gravity decrease linearly or exponentially? From the equation, we can see that the radius term is #r^2#, so will decrease exponentially. The answer therefore isn't A, it must be B.
To be sure, let's check it. An increase in the radius of .06 gives us a new #r=1.06#. Squaring #1.06=1.1236#, so B is the answer.
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Answer 2

C. increases linearly

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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