Answer: Less than 4 ohms
Explanation:
We have three resistors with the following resistance:
![R_{1}=4\Omega](https://tex.z-dn.net/?f=R_%7B1%7D%3D4%5COmega)
![R_{2}=6\Omega](https://tex.z-dn.net/?f=R_%7B2%7D%3D6%5COmega)
![R_{3}=8\Omega](https://tex.z-dn.net/?f=R_%7B3%7D%3D8%5COmega)
Now, when the resistors are connected in parallel, the total resistance
is calculated as follows:
![\frac{1}{R}=\frac{1}{R_{1}}+\frac{1}{R_{2}}+\frac{1}{R_{3}}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7BR%7D%3D%5Cfrac%7B1%7D%7BR_%7B1%7D%7D%2B%5Cfrac%7B1%7D%7BR_%7B2%7D%7D%2B%5Cfrac%7B1%7D%7BR_%7B3%7D%7D)
Isolating
:
![R=\frac{R_{1}R_{2}R_{3}}{R_{3}(R_{1}+R_{2})+R_{1}R_{2}}](https://tex.z-dn.net/?f=R%3D%5Cfrac%7BR_%7B1%7DR_%7B2%7DR_%7B3%7D%7D%7BR_%7B3%7D%28R_%7B1%7D%2BR_%7B2%7D%29%2BR_%7B1%7DR_%7B2%7D%7D)
Rewriting with th known values:
![R=\frac{(4\Omega)(6\Omega)(8\Omega)}{8\Omega(4\Omega+6\Omega)+(4\Omega)(6\Omega)}](https://tex.z-dn.net/?f=R%3D%5Cfrac%7B%284%5COmega%29%286%5COmega%29%288%5COmega%29%7D%7B8%5COmega%284%5COmega%2B6%5COmega%29%2B%284%5COmega%29%286%5COmega%29%7D)
Finally:
![R=1.84 \Omega](https://tex.z-dn.net/?f=R%3D1.84%20%5COmega%20%3C4%20%5COmega)
Hence, the correct option is less than 4 ohms.
Momentum is (mass) times (speed), so nothing that is at rest has any momentum. If the battleship is at rest, then a mosquito in flight, a leaf falling from a tree, and your speedy baseball each have more momentum than the ship has.
Answer:
a. 21.68 rad/s b. 30.78 m/s c. 897 rev/min² d. 1085 revolutions
Explanation:
a. Its angular speed in radians per second ω = angular speed in rev/min × 2π/60 = 207 rev/min × 2π/60 = 21.68 rad/s
b. The linear speed of a point on the flywheel is gotten from v = rω where r = radius of flywheel = 1.42 m
So, v = rω = 1.42 m × 21.68 rad/s = 30.78 m/s
c. Using α = (ω₁ - ω)/t where α = angular acceleration of flywheel, ω = initial angular speed of wheel in rev/min = 21.68 rad/s = 207 rev/min, ω₁ = final angular speed of wheel in rev/min = 1410 rev/min = 147.65 rad/s, t = time in minutes = 80.5/60 min = 1.342 min
α = (ω₁ - ω)/t
= (1410 - 207)/(80.5/60)
= 60(1410 - 207)/80.5
= 60(1203)80.5
= 896.65 rev/min² ≅ 897 rev/min²
d. Using θ = ωt + 1/2αt²
where θ = number of revolutions of flywheel. Substituting the values of the variables from above, ω = 207 rev/min, α = 896.65 rev/min² and t = 80.5/60 min = 1.342 min
θ = ωt + 1/2αt²
= 207 × 1.342 + 1/2 × 896.65 × 1.342²
= 277.725 + 807.417
= 1085.14 revolutions ≅ 1085 revolutions
Answer: Aerial plants is plants that lives in air or wind the wind serves as the water of the plants. Most aerial plants are found in tropical and equatorial regions of the world. In evergreen rain forests, the foliage is so thick that some plants have evolved aerial roots to allow them to absorb more sunlight. The development of aerial roots is
thus an evolutionary process.Aerial roots are often thick and spread around the parent tree. The Banyan tree can have several aerial roots as it gets older.
Explanation:
Answer:
0.2
Explanation:
Horizontal force=100N
Weight of crate=500 N
We have to find the coefficient of kinetic friction.
Normal ,N=Weight=500N
Horizontal force,![F_x=\mu_kN](https://tex.z-dn.net/?f=F_x%3D%5Cmu_kN)
Where
=Horizontal force
N=Normal force
=Coefficient of kinetic friction
Substitute the values in the formula
![100=\mu_k(500)](https://tex.z-dn.net/?f=100%3D%5Cmu_k%28500%29)
![\mu_k=\frac{100}{500}=0.2](https://tex.z-dn.net/?f=%5Cmu_k%3D%5Cfrac%7B100%7D%7B500%7D%3D0.2)
Hence, the coefficient of kinetic friction =0.2