The helicopter view in the figure below shows two people pulling on a stubborn m

Question

The helicopter view in the figure below shows two people pulling on a stubborn mule. Assume that F_1 is 110 N, and F_2 is 65 N. The forces are measured in units of newtons (N). Find the single force that is equivalent to the two forces shown. magnitude N direction degree (counterclockwise from the +x-axis) Find the force that a third person would have to exert on the mule to make the net force equal to zero. magnitude N direction degree (counterclockwise from the +x-axis) A student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of 22.0 m/s. The cliff is h = 32.0 m above a flat horizontal beach, as shown in the figure below.

Explanation / Answer

Resolving the two forces in their x and y components

Along x axis

F1cos60 - F2cos75 = 110cos60 - 65cos75 = 38.176 N

Along y axis

F1sin60 + F2sin75 = 110sin60 + 65cos75 = 112.09 N

Fnet = (38.1762 + 112.092 ) 0.5 = 118.41 N

Direction = tan-1(112.09/38.176) = 71.2o counterclockwise

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.