Which of the following situations represents a negative displacement? (Assume positive position is measured vertically upward al
ong a y-axis.) a. A cat stands on a tree limb. b. A cat jumps from the ground onto a tree limb. c. A cat jumps from a lower tree limb to a higher one. d. A cat jumps from a tree limb to the ground. Please select the best answer from the choices provided A B C D
2 answers:
Answer:
<u>Option-(D):</u> "A cat jumps from a tree limb to the ground."
Explanation:
<u>Negative displacement(Assume positive position is measured vertically upward along a y-axis):</u>
The displacement can be visualized going from the initial point been supposed as the ground level. While, the limb is considered more elevated as compared to the ground level. So, going from the lower level to the higher position is considered as positive displacement while the movement from the higher position to the lower point is considered as negative displacement.
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I believe this is what you have to do:
The force between a mass M and a point mass m is represented by
So lets compare it to the original force before it doubles, it would just be the exact formula so lets call that F₁
So F₁ = G(Mm/r^2)
Now the distance has doubled so lets account for this in F₂:
F₂ = G(Mm/(2r)^2)
Now square the 2 that gives you four and we can pull that out in front to give
F₂ = G(Mm/r^2)
Now we can replace G(Mm/r^2) with F₁ as that is the value of the force before alterations
now we see that:
F₂ = F₁
So the second force will be 0.25 (1/4) x 1600 or 400 N.