Here two vectors are given of lengths
![\vec l_1 = 8 units](https://tex.z-dn.net/?f=%5Cvec%20l_1%20%3D%208%20units)
![\vec l_2 = 3 units](https://tex.z-dn.net/?f=%5Cvec%20l_2%20%3D%203%20units)
now let say the two vectors are inclined at some angle with each other
so the resultant is given as
![R = \sqrt{l_1^2 + l_2^2 + 2l_1 l_2 cos\theta}](https://tex.z-dn.net/?f=R%20%3D%20%5Csqrt%7Bl_1%5E2%20%2B%20l_2%5E2%20%2B%202l_1%20l_2%20cos%5Ctheta%7D)
now plug in all values
![R = \sqrt{8^2 + 3^2 + 2(8)(3)cos\theta}](https://tex.z-dn.net/?f=R%20%3D%20%5Csqrt%7B8%5E2%20%2B%203%5E2%20%2B%202%288%29%283%29cos%5Ctheta%7D)
Now for maximum resultant the angle between two vectors must be ZERO degree
![R_{max} = \sqrt{8^2 + 3^2 + 2(8)(3)} = 11 units](https://tex.z-dn.net/?f=R_%7Bmax%7D%20%3D%20%5Csqrt%7B8%5E2%20%2B%203%5E2%20%2B%202%288%29%283%29%7D%20%3D%2011%20units)
Now for minimum resultant the angle between two vectors must be 180 degree
![R_{max} = \sqrt{8^2 + 3^2 - 2(8)(3)} = 5 units](https://tex.z-dn.net/?f=R_%7Bmax%7D%20%3D%20%5Csqrt%7B8%5E2%20%2B%203%5E2%20-%202%288%29%283%29%7D%20%3D%205%20units)
Answer:
Most of the EM waves from the sun that reach Earth are infrared waves, visible light, and UV radiation.
Explanation:
I hope this helps! Have a good day!
Motion must be defined relative to something.
Here's an obvious, everyday example:
-- You're in a passenger jet, going to visit grandma on the
coast for the holidays.
-- You're sitting still in your seat, listening to some 'mp3's,
reading a book, and dozing off.
-- At the same time, people on the ground see you flying over
at almost 500 miles per hour.
Are you moving at 500 mph, or are you not moving at all ?
The answer is 'Yes. Both.'. It just depends on who's measuring your speed.
There's no such thing as your "real" speed. Motion is always
relative to something. Different reference = different speed.
From our physics class, we know that Work is a product of
Force and Displacement. The force must be the force in the same direction with
the displacement. So force and displacement must be parallel.
A. How much work in J does the string do on the boy if the
boy stands still?
Since we know that: Work = Force * Displacement
and in this case displacement is equal to zero, therefore
Work must also be equal to zero.
Work = 0
B. How much work does the string do on the boy if the boy
walks a horizontal distance of 11m away from the kite?
Now are given a displacement of 11 m which is a horizontal
distance. Therefore we must first calculate the horizontal component of force:
Fx = 4.5 N * cos 30
Fx = 3.897 N
So work is:
Work = 3.897 N * 11 m
<span>Work = 42.87 J ~ 43 J</span>
An example of a quantitative observation is measuring the surface of an oil painting and finding its dimensions to be 12 inches by 12 inches. A quantitative observation occurs when a researcher takes a measurement that is recorded in an objective number of units.