Aisha, Saul, and Lorenzo are playing a tug-of-war. Saul and Lorenzo are pulling at 90anddeg; to each other, while Aisha is pulling with 20 N on her rope at an angle (90 +andtheta;)anddeg; from Lorenzo. Given thatandtheta; = arctan(1.33), what are the magnitudes of force with which Saul and Lorenzo must pull in order to keep this system in equilibrium? (Figure may not be drawn to scale.)a)10andradic;2 N for Saul, 10andradic;2 N for Lorenzob)10 N for Lorenzo, 20 N for Saulc)16 N for Lorenzo, 12 N for Sauld)Not enough information has been given.Correct answer is option 'C'. Can you explain this answer?

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Aisha, Saul, and Lorenzo are playing a tug-of-war. Saul and Lorenzo are pulling at 90° to each other, while Aisha is pulling with 20 N on her rope at an angle (90 + θ)° from Lorenzo. Given that θ = arctan(1.33), what are the magnitudes of force with which Saul and Lorenzo must pull in order to keep this system in equilibrium? (Figure may not be drawn to scale.)

a)
10√2 N for Saul, 10√2 N for Lorenzo
b)
10 N for Lorenzo, 20 N for Saul
c)
16 N for Lorenzo, 12 N for Saul
d)
Not enough information has been given.

Correct answer is option 'C'. Can you explain this answer?

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Aisha, Saul, and Lorenzo are playing a tug-of-war. Saul and Lorenzo ar...

Aisha is pulling with 20 N, so in order for this system to be in equilibrium, Saul and Lorenzo together must be pulling with the same force in the opposite direction. That vector would represent the hypotenuse of the right triangle where Saul’s force is the adjacent side and Lorenzo’s opposite.

One big clue to solving this problem is that the angle is equal to arctan (1.33). 1.33 is the value of the opposite side divided by the adjacent side.

Let’s represent the decimal by a fraction, which would be 4/3. So the ratio of the opposite side to the adjacent side is 4 : 3.

Either by Pythagorean theorem or by past memorization, the hypotenuse will have the value of 5, and we have our 3 - 4 - 5 triangle.

As we said, Aisha represents the hypotenuse, which has a value of 20 N. Divide that by the calculated value for the hypotenuse to obtain the factor to multiply the other sides. That factor is 4.

The other sides of the triangle are 12 N and 16 N. Match it to the right person. The correct answer is 16 N for Lorenzo and 12 N for Saul.

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Aisha, Saul, and Lorenzo are playing a tug-of-war. Saul and Lorenzo are pulling at 90° to each other, while Aisha is pulling with 20 N on her rope at an angle (90 +θ)° from Lorenzo. Given thatθ = arctan(1.33), what are the magnitudes of force with which Saul and Lorenzo must pull in order to keep this system in equilibrium? (Figure may not be drawn to scale.)a)10√2 N for Saul, 10√2 N for Lorenzob)10 N for Lorenzo, 20 N for Saulc)16 N for Lorenzo, 12 N for Sauld)Not enough information has been given.Correct answer is option 'C'. Can you explain this answer? for MCAT 2025 is part of MCAT preparation. The Question and answers have been prepared according to the MCAT exam syllabus. Information about Aisha, Saul, and Lorenzo are playing a tug-of-war. Saul and Lorenzo are pulling at 90° to each other, while Aisha is pulling with 20 N on her rope at an angle (90 +θ)° from Lorenzo. Given thatθ = arctan(1.33), what are the magnitudes of force with which Saul and Lorenzo must pull in order to keep this system in equilibrium? (Figure may not be drawn to scale.)a)10√2 N for Saul, 10√2 N for Lorenzob)10 N for Lorenzo, 20 N for Saulc)16 N for Lorenzo, 12 N for Sauld)Not enough information has been given.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for MCAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Aisha, Saul, and Lorenzo are playing a tug-of-war. Saul and Lorenzo are pulling at 90° to each other, while Aisha is pulling with 20 N on her rope at an angle (90 +θ)° from Lorenzo. Given thatθ = arctan(1.33), what are the magnitudes of force with which Saul and Lorenzo must pull in order to keep this system in equilibrium? (Figure may not be drawn to scale.)a)10√2 N for Saul, 10√2 N for Lorenzob)10 N for Lorenzo, 20 N for Saulc)16 N for Lorenzo, 12 N for Sauld)Not enough information has been given.Correct answer is option 'C'. Can you explain this answer?.

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