Answer:
The resultant velocity is <u>169.71 km/h at angle of 45° measured clockwise with the x-axis</u> or the east-west line.
Explanation:
Considering west direction along negative x-axis and north direction along positive y-axis
Given:
The car travels at a speed of 120 km/h in the west direction.
The car then travels at the same speed in the north direction.
Now, considering the given directions, the velocities are given as:
Velocity in west direction is, ![\overrightarrow{v_1}=-120\ \vec{i}](https://tex.z-dn.net/?f=%5Coverrightarrow%7Bv_1%7D%3D-120%5C%20%5Cvec%7Bi%7D)
Velocity in north direction is, ![\overrightarrow{v_2}=120\ \vec{j}](https://tex.z-dn.net/?f=%5Coverrightarrow%7Bv_2%7D%3D120%5C%20%5Cvec%7Bj%7D)
Now, since
are perpendicular to each other, their resultant magnitude is given as:
![|\overrightarrow{v_{res}}|=\sqrt{|\overrightarrow{v_1}|^2+|\overrightarrow{v_2}|^2}](https://tex.z-dn.net/?f=%7C%5Coverrightarrow%7Bv_%7Bres%7D%7D%7C%3D%5Csqrt%7B%7C%5Coverrightarrow%7Bv_1%7D%7C%5E2%2B%7C%5Coverrightarrow%7Bv_2%7D%7C%5E2%7D)
Plug in the given values and solve for the magnitude of the resultant.This gives,
![|\overrightarrow{v_{res}}|=\sqrt{(120)^2+(120)^2}\\\\|\overrightarrow{v_{res}}|=120\sqrt{2} = 169.71\ km/h](https://tex.z-dn.net/?f=%7C%5Coverrightarrow%7Bv_%7Bres%7D%7D%7C%3D%5Csqrt%7B%28120%29%5E2%2B%28120%29%5E2%7D%5C%5C%5C%5C%7C%5Coverrightarrow%7Bv_%7Bres%7D%7D%7C%3D120%5Csqrt%7B2%7D%20%3D%20169.71%5C%20km%2Fh)
Let the angle made by the resultant be 'x' degree with the east-west line or the x-axis.
So, the direction is given as:
![x=\tan^{-1}(\frac{|v_2|}{|v_1|})\\\\x=\tan^{-1}(\frac{120}{-120})=\tan^{-1}(-1)=-45\ deg(clockwise\ angle\ with\ the\ x-axis)](https://tex.z-dn.net/?f=x%3D%5Ctan%5E%7B-1%7D%28%5Cfrac%7B%7Cv_2%7C%7D%7B%7Cv_1%7C%7D%29%5C%5C%5C%5Cx%3D%5Ctan%5E%7B-1%7D%28%5Cfrac%7B120%7D%7B-120%7D%29%3D%5Ctan%5E%7B-1%7D%28-1%29%3D-45%5C%20deg%28clockwise%5C%20angle%5C%20with%5C%20the%5C%20x-axis%29)
Therefore, the resultant velocity is 169.71 km/h at angle of 45° measured clockwise with the x-axis or the east-west line.
Answer:
şen çal kapimi turkish drama
Answer:
Distance of 400m.
Explanation:
Use your kinematics equation to solve for distance (we can use kinematics b/c acceleration is constant).
d = (initial velocity x time) + 1/2 at^2
d = (20 x 10) + 1/2 (4) (10)^2
d = 200 + 200
d = 400 m
It's one of your hands. Which one it is depends on how you sweep.
-- If you hold the top of the stick motionless and wave your bottom hand
back and forth, then your top hand is the fulcrum, and you're using the
broom as a Class-3 lever.
-- If you hold your bottom hand motionless and wiggle the top end of the
broom back and forth with your top hand, then your lower hand is the fulcrum,
and you're using the broom as a Class-1 lever.