Question

Two forces with magnitudes of 100 and 50 pounds act on an object at angles of 50° and 160° respectively. Find the direction and magnitude of the resultant force. Round to two decimal places in all intermediate steps and in your final answer.
(I have this so far)
u = 100 (cos 50), (sin 50) = (64.28),(76.60)
v = 50 (cos 160), (sin 160) = (-46.98),(17.10)
w = u + v
w = (64.28 + -46.98), (76.60 + 17.10)
w = (15.30),(93.70)
w = √((15.3)^2+(93.7)^2)
w = 94.94 magnitude
tan^-1 (93.7/15.3)

Answer 1

theres none

Answer 2

yep i think you're correct

Answer 3

@kc_kennylau i just dont know the direction part

Answer 4

@melacho but you worked it out... tan^-1(93.7/15.3)

Answer 5

Wait is that it or do i have to solve that

Answer 6

you need to get out a calculator and calculate its value

Answer 7

so just plug that in the calculator?
. tan^-1(93.7/15.3)

Answer 8

exactly

Answer 9

I;m getting something close to 80

Answer 10

that's good

Answer 11

would it be in the 1st quadratnt?

Answer 12

exactly

Answer 13

so my answer for direction is 80 in the 1st qudrant?

Answer 14

it's just asking you about the (a)direction and the (b)magnitude...

Answer 15

so what should i put?

Answer 16

Thank you by the way! :)

Answer 17

the direction is "something near 80", and the magnitude you've calculated it: "w = 94.94 magnitude"

Answer 18

THANK YOU SO MUCH!

Answer 19

no problem :DDDDDDDDDDDDDDDDDDD