Answer:
6.03 m
Explanation:
First of all, let's convert the angular velocity from revolutions per minute to radians per second:
![\omega = 10.9 \frac{rev}{min} \cdot \frac{2\pi rad/rev}{60 s/min}=1.14 rad/s](https://tex.z-dn.net/?f=%5Comega%20%3D%2010.9%20%5Cfrac%7Brev%7D%7Bmin%7D%20%5Ccdot%20%5Cfrac%7B2%5Cpi%20rad%2Frev%7D%7B60%20s%2Fmin%7D%3D1.14%20rad%2Fs)
The frictional force on the block ranges from zero to a maximum value of
![F=\mu mg](https://tex.z-dn.net/?f=F%3D%5Cmu%20mg)
In order for the block to remain stuck on the turntable, the frictional force must be equal to the centripetal force, so we can write:
![m\omega^2 r = \mu mg](https://tex.z-dn.net/?f=m%5Comega%5E2%20r%20%3D%20%5Cmu%20mg)
where
m is the mass of the block
is the angular velocity
r is the distance of the block from the centre
is the coefficient of static friction
g = 9.8 m/s^2
Solving for r, we find:
![r=\frac{\mu g}{\omega^2}=\frac{(0.8)(9.8)}{(1.14)^2}=6.03 m](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B%5Cmu%20g%7D%7B%5Comega%5E2%7D%3D%5Cfrac%7B%280.8%29%289.8%29%7D%7B%281.14%29%5E2%7D%3D6.03%20m)
Answer:
a) Wavelength .
Explanation:
Visible light is comprised of all the seven colors Violet , Indigo , Blue , Green , Yellow and Red .
Color depends up on the wave length of the light .
For example a red ball appears red because it absorbs wavelengths of all the other colors and reflects only wavelengths corresponding to red color.
Answer:
a = 17.81 m/s²
Explanation:
Given that,
Shaun and his friend give Shirley a big shove all at once, applying a force of F=980 N
Let us assume that the mass of Shaun and his friend is 55 kg.
Let a is the acceleration during this shove.
The second law of motion is given by :
F = ma
![a=\dfrac{F}{m}\\\\a=\dfrac{980}{55}\\\\=17.81\ m/s^2](https://tex.z-dn.net/?f=a%3D%5Cdfrac%7BF%7D%7Bm%7D%5C%5C%5C%5Ca%3D%5Cdfrac%7B980%7D%7B55%7D%5C%5C%5C%5C%3D17.81%5C%20m%2Fs%5E2)
So, the acceleration of Shirley is 17.81 m/s².
1.8x 10^4
This is 18000 expressed in scientific notation.