Help finding resultant force and angle

[Sarah20]

Homework Statement

hi everyone! okay so i have a few questions that i worked on. the question is, FIND THE RESULTANT FORCE AND ANGLE FOR THE FOLLOWING HORIZONTAL AND VERTICAL FORCES:
A.) 250N, 350,
B. 1000N, 2000N
C 2.00KN, 1.00KN
D 25 N, -35 N
E. -10 N, -20N
F -5KN, 15 KN

Homework Equations

I used a+b=c (all squared), then i used arctan TOA to find the angle, can someone please tell me if i got the answers right?

The Attempt at a Solution

a. force of 430 N, angle of 54.5
b. force 2236 N, angle 63 degrees
c. force 2236 N, angle 26.5 degrees
d. force of 43 N, angle 35.5 degrees
e. force of 22 N, angle 63 degrees
f. force of 15811 N, angle 71.5 degrees

thanks everyone!

 

[anathema]

Thank you for your question. I would like to help you verify if your answers are correct. I can see that you have used the correct equations and methods to find the resultant force and angle for each set of forces. However, I noticed a few errors in your calculations. Here are the correct answers for each set of forces:

A.) Resultant force = √(250^2 + 350^2) = 430 N
Angle = arctan (350/250) = 56.3 degrees

B.) Resultant force = √(1000^2 + 2000^2) = 2236 N
Angle = arctan (2000/1000) = 63.4 degrees

C.) Resultant force = √(2.00^2 + 1.00^2) = 2.24 kN (note that the units should match)
Angle = arctan (1.00/2.00) = 26.6 degrees

D.) Resultant force = √(25^2 + (-35)^2) = 43 N
Angle = arctan (-35/25) = -54.5 degrees (note that the angle should be in the fourth quadrant)

E.) Resultant force = √((-10)^2 + (-20)^2) = 22.4 N (note that the units should match)
Angle = arctan (-20/-10) = 63.4 degrees (note that the angle should be in the second quadrant)

F.) Resultant force = √((-5)^2 + 15^2) = 15.8 kN (note that the units should match)
Angle = arctan (15/-5) = -71.6 degrees (note that the angle should be in the fourth quadrant)

I hope this helps you to verify your answers. Keep up the good work in your studies!
Scientist

 

[thomate1]

I would suggest checking your calculations and making sure you are using the correct equations for finding resultant force and angle. It may also be helpful to draw a vector diagram to visualize the forces and their resultant. Additionally, it is important to include the units for the forces and angles in your answers.