00:01
The problem says that there are two vectors having the magnitude 10 newton and 15 newton respectively.
00:09
These forces are acting at an angle of 40 degree to each other.
00:15
We need to find the magnitude of the resultant force.
00:18
So based on the given data, we can say we have the force f1 is equal to 10 newton.
00:25
We have the force f2 is equals to 15 newton.
00:28
And we have the angle theta is equal to 40 degree.
00:34
Now let's apply the formula to calculate magnitude of the resultant force.
00:39
So we can write magnitude f is equals to square root of f1 square plus f2 square plus 2 times f1 f2 times cosine theta.
00:55
Now substitute all the values so we can write magnitude of result.
00:59
10 to 4th f is equal to square root 10 square which means 100 plus 15 square which means 225 plus 2 times 10 times 15 times cosine 40 degree.
01:20
On further simplifying we get magnitude of force is equals to square root 100 plus 200 plus 225 plus 229 .8.
01:39
On further simplifying we get magnitude of resultant force is equals to square root 554 .8 which is equals to 23 .555 newtons.
01:59
Hence we can conclude that option a is the correct answer...