F1 . . . 100% of it = 900N is in the +x direction.

F2 . . . 70.7% of it (cos45°, 530.3N) is in the +x direction,
and 70.7% of it (sin45°, 530.3N) is in the +y direction.

F3 . . . 80% of it (520N) is in the -x direction,
and 60% of it (390N) is in the +y direction.

Total x-component: 900 + 530.3 - 520 = 1,950.3 N

Total y-component: 530.3 + 390 = 920.3 N

Magnitude of the resultant = √ (x² + y²)

   = √(1950.3² + 920.3²)

   = √4,650,070.09

   =   2,156.4 N .

Angle of the resultant, measured counterclockwise
from the +x axis, is

   tan⁻¹ (y / x)

   = tan⁻¹ (920.3 / 1950.3)

   = tan⁻¹ (0.4719)

   = about 25.3° .

Caution:
The same fatigue that degrades my ability to READ the question accurately
may also compromise the accuracy of my solutions. Before you use this
answer for anything, check it, check it, check it !

4 0

4 years ago

Bees are one of the fastest insects on Earth. They can fly 22 miles in 2 hours, and 55 miles in 5 hours. Write an expression to

sineoko [7]

Miles in 2 hours = 22
Rate of distance = 22/2
= 11 miles/hour

So miles in h hours = 11h

Miles in 4 hours = 11 * 4
= 44 miles

Answer is
11h , 44 miles

3 0

3 years ago