Answer:
The correct option is;
c. 45°
Explanation:
The given information is that the angle the vector makes with the horizontal = θ
Let the magnitude of the resultant vector = R
The horizontal component of the vector are given as follows;
Rₓ = R × cos(θ)
The vertical component of the vector are given as follows;
= R × sin(θ)
The resultant vector, R, in vector form, R, is the sum of the horizontal and vertical components as follows;
R = R × cos(θ)·i + R × sin(θ)·j
Therefore;
The horizontal and vertical component will be equal when cos(θ) = sin(θ)
Given that tan(θ) = sin(θ)/cos(θ), we have that when cos(θ) = sin(θ), tan(θ) = sin(θ)/cos(θ) = sin(θ)/sin(θ) = 1
tan(θ) = 1,
∴ θ = tan⁻¹(1) = 45°
θ = 45°.
Answer:
Respect is having a regard for other people and their lives; it is showing those around us compassion and empathy. Children who show respect will find they are successful in all aspects of life. The sports environment is a great place to grow and establish respect.
<span>59.027m/s^2
Centripetal force is give by F = mv^2/r
Since
F = ma
The acceleation accoiated with this centripetal force is
a=v^2/r
the radius is found by r=d/2=5.75m
velocity is found by
v=d/t
distance is the circumference of the circle
c=pi*d=11.5*3.14=36.11m
time=60s/30.6rpm=1.96s
v=36.11/1.96=18.423m/s
plugging this back in to
a=v^2/r=(18.423m/s)^2/5.75m=59.027m/s^2</span>