Katarina is right. The explanation correct is because r is a distance and always positive, from she can see that when y is negative, sinθ is also negative.
<h3>What is the explanation for the above?</h3>
For every interval of odd multiple of π, to next even multiple of π, sinθ will be negative.
Mathematically,
Sin θ will be negative in
[(2n +1)π, (2n + 2)π]
Where, n is any integer (Positive or negative).
Hence, it is right to state that Katarina is right. The explanation correct is because r is a distance and always positive, from she can see that when y is negative, sinθ is also negative.
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Full Question:
Dacia Asks Katarina To Tell Her What The Values Of Y Are That Can Make Sine Negative. Which Of Katarina's Replies Is Correct?
Answer:
the girl must sit 2 cm from the pivot at the opposite end of the seesaw.
Explanation:
Given;
length of the seesaw, L = 4.0 m
weight of the boy, W₁ = 400 N
position of the boy from the pivot, d₁ = 1.5 m
weight of her sister, W₂ = 300 N
First, make a sketch of this information given;
0---0.5m---------------------Δ--------------------------4m
↓<--------1.5m-------> <---------x--------->↓
400 N 300N
Apply the principle of moment about the pivot, to determine the value of x;
Sum of anticlockwise moment = sum of clockwise moment
400(1.5) = 300(x)
600 = 300x
x = 600/300
x = 2 cm
Thus, the girl must sit 2 cm from the pivot at the opposite end of the seesaw.
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