Answer:
(a) θ = 33.86°
(b) Ay = 49.92 N
Explanation:
You have that the magnitude of a vector is A = 89.6 N
The x component of such a vector is Ax = 74.4 N
(a) To find the angle between the vector and the x axis you use the following formula for the calculation of the x component of a vector:
(1)
Ax: x component of vector A
A: magnitude of vector A
θ: angle between vector A and the x axis
You solve the equation (1) for θ, by using the inverse of cosine function:
![\theta=cos^{-1}(\frac{A_x}{A})=cos{-1}(\frac{74.4N}{89.6N})\\\\\theta=33.86\°](https://tex.z-dn.net/?f=%5Ctheta%3Dcos%5E%7B-1%7D%28%5Cfrac%7BA_x%7D%7BA%7D%29%3Dcos%7B-1%7D%28%5Cfrac%7B74.4N%7D%7B89.6N%7D%29%5C%5C%5C%5C%5Ctheta%3D33.86%5C%C2%B0)
the angle between the A vector and the x axis is 33.86°
(b) The y component of the vector is given by:
![A_y=Asin\theta\\\\A_y=(89.6N)sin(33.86\°)=49.92N](https://tex.z-dn.net/?f=A_y%3DAsin%5Ctheta%5C%5C%5C%5CA_y%3D%2889.6N%29sin%2833.86%5C%C2%B0%29%3D49.92N)
the y comonent of the vecor is Ay = 49.92 N
Explanation:
Given that,
Initial speed of the car, u = 88 km/h = 24.44 m/s
Reaction time, t = 2 s
Distance covered during this time, ![d=24.44\times 2=48.88\ m](https://tex.z-dn.net/?f=d%3D24.44%5Ctimes%202%3D48.88%5C%20m)
(a) Acceleration, ![a=-4\ m/s^2](https://tex.z-dn.net/?f=a%3D-4%5C%20m%2Fs%5E2)
We need to find the stopping distance, v = 0. It can be calculated using the third equation of motion as :
![s=\dfrac{v^2-u^2}{2a}](https://tex.z-dn.net/?f=s%3D%5Cdfrac%7Bv%5E2-u%5E2%7D%7B2a%7D)
![s=\dfrac{-(24.44)^2}{2\times -4}](https://tex.z-dn.net/?f=s%3D%5Cdfrac%7B-%2824.44%29%5E2%7D%7B2%5Ctimes%20-4%7D)
s = 74.66 meters
s = 74.66 + 48.88 = 123.54 meters
(b) Acceleration, ![a=-8\ m/s^2](https://tex.z-dn.net/?f=a%3D-8%5C%20m%2Fs%5E2)
![s=\dfrac{v^2-u^2}{2a}](https://tex.z-dn.net/?f=s%3D%5Cdfrac%7Bv%5E2-u%5E2%7D%7B2a%7D)
![s=\dfrac{-(24.44)^2}{2\times -8}](https://tex.z-dn.net/?f=s%3D%5Cdfrac%7B-%2824.44%29%5E2%7D%7B2%5Ctimes%20-8%7D)
s = 37.33 meters
s = 37.33 + 48.88 = 86.21 meters
Hence, this is the required solution.
Rust forms when oxygenreacts with chemicals in rocks, and that is often the case
Answer:
encontré esto fuera de google, "Estos conceptos físicos que parecen necesarios en cualquier teoría física suficientemente amplia son los llamados conceptos físicos fundamentales, una lista no exhaustiva de los mismos podría ser: espacio, tiempo, energía, masa, carga eléctrica, etc."
espero que esto ayude, que tengas un gran día, Y mantente segura! :) :D :3