Answer:
6.6 N
Explanation:
Let's take the direction of the force of 4.0 N as positive x-direction. This means that the force of 3.0 N is at 40 degrees above it. So the components of the two forces along the x- and y-directions are:
![F_{1x} = 4.0 N\\F_{1y} = 0](https://tex.z-dn.net/?f=F_%7B1x%7D%20%3D%204.0%20N%5C%5CF_%7B1y%7D%20%3D%200)
![F_{2x} = 3.0 N cos 40^{\circ}=2.3 N\\F_{2y} = 3.0 N sin 40^{\circ} = 1.9 N](https://tex.z-dn.net/?f=F_%7B2x%7D%20%3D%203.0%20N%20cos%2040%5E%7B%5Ccirc%7D%3D2.3%20N%5C%5CF_%7B2y%7D%20%3D%203.0%20N%20sin%2040%5E%7B%5Ccirc%7D%20%3D%201.9%20N)
So the resultant has components
![F_x = F_{1x}+F_{2x}=4.0 N +2.3 N = 6.3 N\\F_y = F_{1y} + F_{2y} = 0 + 1.9 N = 1.9 N](https://tex.z-dn.net/?f=F_x%20%3D%20F_%7B1x%7D%2BF_%7B2x%7D%3D4.0%20N%20%2B2.3%20N%20%3D%206.3%20N%5C%5CF_y%20%3D%20F_%7B1y%7D%20%2B%20F_%7B2y%7D%20%3D%200%20%2B%201.9%20N%20%3D%201.9%20N)
So the magnitude of the resultant is
![F=\sqrt{F_x^2 +F_y^2}=\sqrt{(6.3)^2+(1.9)^2}=6.6 N](https://tex.z-dn.net/?f=F%3D%5Csqrt%7BF_x%5E2%20%2BF_y%5E2%7D%3D%5Csqrt%7B%286.3%29%5E2%2B%281.9%29%5E2%7D%3D6.6%20N)
And in order for the body to be balanced, the third force must be equal and opposite (in direction) to this force: so, the magnitude of the third force must be 6.6 N.
Answer:
The officer's unit detects this 135-mile-per-hour speed and should subtract the patrol car's 70-mile -per-hour ground speed to get your true speed of 65 miles per hour. Instead, the officer's ground-speed beam fixes on the truck ahead and measures a false 50-mile-per-hour ground speed.
Explanation:
A speedometer or speed meter is a gauge that measures and displays the instantaneous speed of a vehicle. Now universally fitted to motor vehicles, they started to be available as options in the early 20th century, and as standard equipment from about 1910 onwards.
Answer: D
1200
Explanation:
Song 1 is spotted with a cube sign.
At 3 minute, trace the spot to the vertical axis. And you will notice that it a little bit above 10.
Since it is above 10, let assume it is equal to 12.
The number of song downloaded are in hundreds. Therefore, multiply the 12 by 100
12 × 100 = 1200 downloads
Approximately, song 1 has 1200 downloads at minute 3