Answer:
eight
Explanation:
it's atomic number is 8 which mean that an oxygen atom has eight protons in it's nucleus
Answer:
The first one
Explanation:
The waves on the first image are the highest in frequency meaning they have the highest pitch.
Answer:
He solved Ptolemy’s model by proving elliptical orbits.
He proved Galileo’s calculations were incorrect.
He determined that planets move faster when closer to the Sun.
Answer:
(A) Torque required is 21.205 N-m
(b) Wok done will be equal to 1199.1286 j
Explanation:
We have given moment of inertia ![I=12kgm^2](https://tex.z-dn.net/?f=I%3D12kgm%5E2)
Wheel deaccelerate from 135 rpm to 0 rpm
135 rpm = ![135\times \frac{2\pi }{60}=14.1371rad/sec](https://tex.z-dn.net/?f=135%5Ctimes%20%5Cfrac%7B2%5Cpi%20%7D%7B60%7D%3D14.1371rad%2Fsec)
Time t = 8 sec
So angular speed
and ![\omega _f=0rpm](https://tex.z-dn.net/?f=%5Comega%20_f%3D0rpm)
Angular acceleration is given by ![\alpha =\frac{\omega _f-\omega _i}{t}=\frac{0-14.1371}{8}=--1.7671rad/sec^2](https://tex.z-dn.net/?f=%5Calpha%20%3D%5Cfrac%7B%5Comega%20_f-%5Comega%20_i%7D%7Bt%7D%3D%5Cfrac%7B0-14.1371%7D%7B8%7D%3D--1.7671rad%2Fsec%5E2)
Torque is given by torque ![\tau =I\alpha](https://tex.z-dn.net/?f=%5Ctau%20%3DI%5Calpha)
![=12\times 1.7671=21.205N-m](https://tex.z-dn.net/?f=%3D12%5Ctimes%201.7671%3D21.205N-m)
Work done to accelerate the vehicle is
![\Delta w=K_I-K_F](https://tex.z-dn.net/?f=%5CDelta%20w%3DK_I-K_F)
![\Delta W=\frac{1}{2}\times 12\times 14.137^2-\frac{1}{2}\times 12\times0^2=1199.1286J](https://tex.z-dn.net/?f=%5CDelta%20W%3D%5Cfrac%7B1%7D%7B2%7D%5Ctimes%2012%5Ctimes%2014.137%5E2-%5Cfrac%7B1%7D%7B2%7D%5Ctimes%2012%5Ctimes0%5E2%3D1199.1286J)
Initial velocity, u = 4 m/s
acceleration due to gusts of wind = 3 m/s^2
time, t = 1 min = 60 s
Let distance travelled = S
From equation of motion,
![S = ut + \frac{1}{2} a {t}^{2} \\ \\ S = 4 \times 60 + \frac{1}{2} \times 3 \times {60}^{2} \\ \\ S = 240 + 5400 \\ \\ S = 5640 \: m](https://tex.z-dn.net/?f=S%20%3D%20ut%20%2B%20%20%5Cfrac%7B1%7D%7B2%7D%20a%20%7Bt%7D%5E%7B2%7D%20%20%5C%5C%20%20%5C%5C%20S%20%3D%204%20%5Ctimes%2060%20%2B%20%20%20%5Cfrac%7B1%7D%7B2%7D%20%20%5Ctimes%203%20%5Ctimes%20%20%7B60%7D%5E%7B2%7D%20%20%5C%5C%20%20%5C%5C%20S%20%3D%20240%20%2B%205400%20%5C%5C%20%20%5C%5C%20S%20%3D%205640%20%5C%3A%20m)
Thus, the boat would have traveled 5640m after gusts picked up.