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What is the magnitude of the resultant force when F1 = 60j + 80k and F2 = 50i – 100j + 100k?
- a)188 unit
- b)191 unit
- c)181 unit
- d)120 unit
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
What is the magnitude of the resultant force when F1 = 60j + 80k and F...
Just do the vector addition. And then calculate the resultant of the sum you get. In vector addition just use the x, y and z axis components and then add them separately which will give you the resultant’s components. Now do the pythogerous method of square rooting of components and the resultant is what you get.
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What is the magnitude of the resultant force when F1 = 60j + 80k and F...
To find the magnitude of the resultant force, we need to add the two given forces together and then calculate the magnitude of the resulting vector.
F1 = 60j + 80k
F2 = 50i
Adding these two forces together:
F = F1 + F2 = 60j + 80k + 50i
Now, we need to calculate the magnitude of this resulting vector. The magnitude of a vector (F) is given by the formula:
|F| = sqrt(Fx^2 + Fy^2 + Fz^2)
In this case, Fx = 50, Fy = 60, and Fz = 80. Plugging these values into the formula:
|F| = sqrt(50^2 + 60^2 + 80^2)
|F| = sqrt(2500 + 3600 + 6400)
|F| = sqrt(12500 + 3600 + 6400)
|F| = sqrt(22500 + 6400)
|F| = sqrt(28900)
|F| ≈ 170.03
Therefore, the magnitude of the resultant force is approximately 170.03.
F1 = 60j + 80k
F2 = 50i
Adding these two forces together:
F = F1 + F2 = 60j + 80k + 50i
Now, we need to calculate the magnitude of this resulting vector. The magnitude of a vector (F) is given by the formula:
|F| = sqrt(Fx^2 + Fy^2 + Fz^2)
In this case, Fx = 50, Fy = 60, and Fz = 80. Plugging these values into the formula:
|F| = sqrt(50^2 + 60^2 + 80^2)
|F| = sqrt(2500 + 3600 + 6400)
|F| = sqrt(12500 + 3600 + 6400)
|F| = sqrt(22500 + 6400)
|F| = sqrt(28900)
|F| ≈ 170.03
Therefore, the magnitude of the resultant force is approximately 170.03.
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What is the magnitude of the resultant force when F1 = 60j + 80k and F2 = 50i – 100j + 100k?a)188 unitb)191 unitc)181 unitd)120 unitCorrect answer is option 'B'. Can you explain this answer?
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