Complete Question
The complete question(reference (chegg)) is shown on the first uploaded image
Answer:
The magnitude of the resultant force is 
The direction of the resultant force is
from the horizontal plane
Explanation:
Generally when resolving force, if the force (F )is moving toward the angle then the resolve force will be
while if the force is moving away from the angle then the resolved force is 
Now from the diagram let resolve the forces to their horizontal component
So


Now resolving these force into their vertical component can be mathematically evaluated as


Now the resultant force is mathematically evaluated as

substituting values


The direction of the resultant force is evaluated as
![\theta = tan^{-1}[\frac{F_y}{F_x} ]](https://tex.z-dn.net/?f=%5Ctheta%20%20%3D%20%20tan%5E%7B-1%7D%5B%5Cfrac%7BF_y%7D%7BF_x%7D%20%5D)
substituting values
![\theta = tan^{-1}[\frac{ 14.3}{199.128} ]](https://tex.z-dn.net/?f=%5Ctheta%20%20%3D%20%20tan%5E%7B-1%7D%5B%5Cfrac%7B%2014.3%7D%7B199.128%7D%20%5D)
from the horizontal plane
The equation for determining the kinetic energy of the system is,
KE = 0.5mv²
where m is the mass, v is velocity and KE is the kinetic energy. When both objects have the same mass, and velocity but different direction, they will have the same kinetic energy.
This is because the exponent in the velocity is squared cancelling out the effect of the sign appearing before the number.
Explanation:
The force on the passenger will be F = ma
Here, m does not change, but a is the variable.
If the cars slows down very fast, the acceleration will be higher, and thus the force will be higher.
If the acceleration is lower, the force will be lower as well, which would be the most desirable scenario for the passenger.
Unlike the one-way flow of energy, matter is recycled within and between ecosystems. Every living organism needs nutrients to build tissues and carry out essential life functions.
Answer: Your question is missing below is the question
Question : What is the no-friction needed speed (in m/s ) for these turns?
answer:
20.1 m/s
Explanation:
2.5 mile track
number of turns = 4
length of each turn = 0.25 mile
banked at 9 12'
<u>Determine the no-friction needed speed </u>
First step : calculate the value of R
2πR / 4 = πR / 2
note : πR / 2 = 0.25 mile
∴ R = ( 0.25 * 2 ) / π
= 0.159 mile ≈ 256 m
Finally no-friction needed speed
tan θ = v^2 / gR
∴ v^2 = gR * tan θ
v = √9.81 * 256 * tan(9.2°) = 20.1 m/s