# Physics

A force F 1 of magnitude 5.90 units acts on an object at the origin in a direction θ = 28.0° above the positive x-axis. (See the figure below.) A second force F 2 of magnitude 5.00 units acts on the object in the direction of the positive y-axis. Find graphically the magnitude and direction of the resultant force F 1 + F 2.
magnitude___________? units
direction __________? counterclockwise from the +x-axis

(I tried doing 5.9xcos(28)=5.21N and 5.9xcos(28)+5=10.2N. When I divided them the answers that I got were 11.45 and 63 degrees and they were incorrect I think that I set the problem up incorrectly.

1. 👍
2. 👎
3. 👁
1. The angle between two vectors (F₁ and F₂) is 90-28=62°
The second angle of the force parallelogram is (360 -2•62)/2= 118°.
Cosine law gives
F=sqrt (F₁² +F₂² -F₁•F₂•cos118°)= 9.2
tan α = (5+5.9•sin28°)/5.9•cos28° =1.49
α = 56.2°

1. 👍
2. 👎
2. Fr = 5.9[28o] + 5[90o].

X = 5.9*Cos28 = 5.2Units.
Y = 5*sin28 + 5*sin90 = 7.35 Units.

Fr = sqrt(x^2+y^2) =

Tan A = Y/X = 7.35/5.2 = 1.41346,
A = 54.7o = The direction.

1. 👍
2. 👎

## Similar Questions

1. ### physic

A force F⃗ = 12 N i^ − 10 N j^ acts on an object. How much work does this force do as the object moves from the origin to the point r⃗ = 13 m i^ + 11 m j^?

2. ### Physics

A force F1 of magnitude 6.90 units acts on an object at the origin in a direction θ = 54.0° above the positive x-axis. (See the figure below.) A second force F2 of magnitude 5.00 units acts on the object in the direction of the

3. ### physics

Which of the following statements about work is or are true? (More than one statement may be true.) A. Negative net work done on an object always reduces the object's kinetic energy. B. If the work done on an object by a force is

4. ### Physics B

part 1 A coordinate system (in meters) is constructed on the surface of a pool table, and three objects are placed on the coordinate system as follows: a 1.5 kg object at the origin, a 3.4 kg object at (0 m,1.8 m), and a 4.5 kg

1. ### science

Three point charges are placed on the x-axis. A charge of +2.0 μC is placed at the origin, -2.0 μC to the right at x = 50 cm, and +4.0 μC at the 100 cm mark. What are the magnitude and direction of the electrostatic force which

2. ### Physics

Two forces are the only forces acting on a 7.8 kg object which moves with an accelera- tion of 4.5 m/s2 in the positive y direction. One of the forces acts in the positive x direc- tion and has a magnitude of 14 N. What is the

3. ### Physics

This is probably a really easy question, but I just don't know how to set it up. An object in equilibrium has three forces exerted on it. A 33 N force acts at 90 degrees from the x-axis and a 44 N force acts at 60 degrees. What

4. ### physics

true or false If a net force acts on an object, the object's speed will change. An object's velocity will change if a net force acts on the object. If two object have the same acceleration, they are under the influence of equal

1. ### Physics

Three forces act on an object. A 4 N force acts due east and a 3 N force acts due north. If the net force on the object is zero, what is the magnitude of the third force?

2. ### Physics

Two objects separated by a distance r are each carrying a charge –q. The magnitude of the force exerted on the second object by the first is F. If the first object is removed and replaced with an identical object that carries a

3. ### Science

Three point chatges are placed onthe x axis .Acharge of+2micro c at the100cm mark .what are the magnitude and direction of the electrostatic force which acts on the charge at the origin

4. ### precalculus

Two forces act on an object. The first force has a magnitude of 360 newtons and acts at an angle of 30° as measured from the horizontal. The second force has a magnitude of 240 newtons and acts at an angle of 135° as measured