Answer:
a) 10.7° ≈ 11°
b) 0.19
Explanation:
If the road is banked at an angle, without seeking the help of friction, (i.e. frictionless road), the forces acting on the car are shown in the attached free body diagram to the question
In the y - direction
mg = N cos θ (eqn 1)
mg = weight of the car.
N = normal reaction of the plane on the car
And in the direction parallel to the inclined plane,
(mv²/r) = N sin θ (eqn 2)
(mv²/r) = force keeping the car in circular motion
Divide (eqn 2) by (eqn 1)
(v²/gr) = Tan θ
v = velocity of car = 60 km/h = 16.667 m/s
g = acceleration due to gravity
r = 150 m
(16.667²/(9.8×150)) = Tan θ
θ = Tan⁻¹ (0.18896)
θ = 10.7° ≈ 11°
b) In the absence of banking, the frictional force on the road has to balance the force keeping the car in circular motion
That is,
Fr = (mv²/r)
Fr = μN = μ mg
μ mg = mv²/r
μ = (v²/gr) = (16.667²/(9.8×150)) = 0.19
Hope this Helps!!!
"Celestial" = anything to do with the sky
("Cielo" ..... Spanish for "sky"
"Ceiling" ... that thing up over your head
"Caelum" .. Latin for "heaven")
"Terrestrial" = anything to do with the Earth
("Terra" ... Latin for "Earth")
<u>Answer:</u>
<em>The required radius of its motion is 
.</em>
<u>Explanation:</u>
The formula for calculating the required radius of its motion is given by
Where <em>m= mass </em>
<em>V= moving velocity
</em>
<em>F=frictional force
</em>
<em>r = radius of its motion
</em>
Then the required radius of its motion is given by
<u>Given that
</u>
<em>mas =0.0818 kg
</em>
<em>Frictional force= 0.108 N
</em>
<em>Moving with Velocity of = 0.333 m/s
</em>
<em>radius of its motion = ![\frac{[0.0818 kg \times (0.333 m/s)^2]}{0.108 N}](https://tex.z-dn.net/?f=%5Cfrac%7B%5B0.0818%20kg%20%5Ctimes%20%280.333%20m%2Fs%29%5E2%5D%7D%7B0.108%20N%7D)
</em>
<em>Hence the required radius of its motion is r = 
</em>
speed of the bacterium is 3.5 mm/s
total distance traveled by bacterium = 8.4 cm
time take to cover the distance
<em>so it will take 24 s to move this distance</em>
Answer:
The neutral wire is often confused with ground wire, but in reality, they serve two distinct purposes. Neutral wires carry currents back to power source to better control and regulate voltage. Its overall purpose is to serve as a path to return energy.
