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3 years ago

70 points!!!! Find the horizontal and the vertical components of f.

Mathematics

1 answer:

choli [55]3 years ago

6 0

Answer:

F = (16.74, -2.95)

Explanation:

1) Horizontal component

The horizontal component is related to the magnitude of the force by the cosine ratio:

cos (α) = Fx / | F |

Where α in the angle (-10º), Fx is the horizontal component, and | F | is the magnitude of the force (17).

cos(-10º) = Fx / 17 ⇒ Fx = cos (-10º) × 17 = 16.74

2) Vertical component

The vertical component is related to the magnitude of the force by the sine ratio:

sin (α) = Fy / | F |

Where α in the angle (-10º), Fy is the vertical component, and | F | is the magnitude of the force (17).

sin(-10º) = Fy / 17 ⇒ Fy = sin (-10º) × 17 = -2.95

3) Form (x,y)

F = (16.74, -2.95)

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