Current Attempt in Progress Three forces are applied to an object, as shown in the figure. Force F₁ has a magnitude of 22.4 newtons (22.4 N) and is directed 30.0° to the left of the +y axis. Force F₂ has a magnitude of 15.7 N and points along the +x axis. What must be the (a) magnitude and (b) direction (specified by the angle 0 in the drawing) of the third force F3 such that the vector sum of the three forces is O N? (a) Number i (b) Number i +V 30.0 Units Units

2. In mechanics, force is a vector quantity and has a unit of Newtons (N). The force F₁ with a magnitude of 54.0 N is applied at an object at the origin in the direction of 25° above the negative x-axis. A second force F₂ with a magnitude of 41.0 N is applied at the same object in the direction of 68° above the positive x-axis. Determine the magnitude and direction of the resultant of the two forces.

Write the solution on a paper and round to 4 decimal places

Two ropes are attached to a tire on the ground. The first rope exerts a force of 205. N in a direction 14.9 degrees west of north. The second rope exerts a force of 362. N in a direction 27.6 degrees east of south. Find the magnitude (in N) of the net force on the tire

The helicopter view in the figure below shows two people pulling on a stubborn mule. (Take F₁ = 137 N and F₂ = 74.0 N.) 75.0° direction 60.0⁰ x (a) Find the single force that is equivalent to the two forces shown. 149.56 magnitude Your response differs from the correct answer by more than 10%. Double check your calculations. N 23.65 X Your response differs from the correct answer by more than 10%. Double check your calculations. counterclockwise from the +x-axis (b) Find the force a third person would have to exert on the mule to make the net force equal to zero. magnitude N direction counterclockwise from the +x-axis

A force ofF1= 50.0 N is directed at an angle of 60° above the x-axis. A second force of  F2 = 50.0 N is directed at an angle of 60.0° below the x-axis.= 50.0 N is directed at an angle of 60.0° below the x-axis.  What is the vector sum of these two forces?

Calculating Net Force Two forces act on an object: 1) a force of magnitude F₁ and direction 0₁ 2) a force of magnitude F2 and direction 02 The net force on the object has a magnitude of Fnet and a direction of Onet. Solution: Forces must be added in component form (x and y separately): Fnet,x=F₁ cos 0₁ + F₂ cos 0₂ = Fnet CoS Onet Fnet.y Fnet sin net The 2 equations above have 6 variables. So if 4 variables are given, the equations can be solved. Tip: Plug in decimals for sines/cosines of known angles. = · F₁ sin 0₁ + F2 sin 0₂ = 3 4 F₁ 184N 305.6 F₁ N Type your answer... 0₁ 170⁰ 0₁ 156⁰ F₂ 349N F₂ 336N 02 289⁰ 02 301⁰ Fnet N Onet 244⁰ --DO