Answer:
Pressure will be ![6072449.952Pa](https://tex.z-dn.net/?f=6072449.952Pa)
Explanation:
We have given mass of the women m = 65 kg
Radius of the heels r = 0.578 cm = 0.00578 m
We have to find the pressure
We know that pressure is given by
![P=\frac{F}{A}=\frac{mg}{A}](https://tex.z-dn.net/?f=P%3D%5Cfrac%7BF%7D%7BA%7D%3D%5Cfrac%7Bmg%7D%7BA%7D)
So force F = mg = 65×9.8 = 637 N
Area ![A=\pi r^2=3.14\times 0.00578^2=1.049\times 10^{-4}m^2](https://tex.z-dn.net/?f=A%3D%5Cpi%20r%5E2%3D3.14%5Ctimes%200.00578%5E2%3D1.049%5Ctimes%2010%5E%7B-4%7Dm%5E2)
So pressure ![p=\frac{637}{1.049\times 10^{-4}}=6072449.952Pa](https://tex.z-dn.net/?f=p%3D%5Cfrac%7B637%7D%7B1.049%5Ctimes%2010%5E%7B-4%7D%7D%3D6072449.952Pa)
Answer:
I = 0.287 MR²
Explanation:
given,
height of the object = 3.5 m
initial velocity = 0 m/s
final velocity = 7.3 m/s
moment of inertia = ?
Using total conservation of mechanical energy
change in potential energy will be equal to change in KE (rotational) and KE(transnational)
PE = KE(transnational) + KE (rotational)
![mgh = \dfrac{1}{2}mv^2 + \dfrac{1}{2}I\omega^2](https://tex.z-dn.net/?f=mgh%20%3D%20%5Cdfrac%7B1%7D%7B2%7Dmv%5E2%20%2B%20%5Cdfrac%7B1%7D%7B2%7DI%5Comega%5E2)
v = r ω
![mgh = \dfrac{1}{2}mv^2 + \dfrac{1}{2}\dfrac{Iv^2}{r^2}](https://tex.z-dn.net/?f=mgh%20%3D%20%5Cdfrac%7B1%7D%7B2%7Dmv%5E2%20%2B%20%5Cdfrac%7B1%7D%7B2%7D%5Cdfrac%7BIv%5E2%7D%7Br%5E2%7D)
![I = \dfrac{m(2gh - v^2)r^2}{v^2}](https://tex.z-dn.net/?f=I%20%3D%20%5Cdfrac%7Bm%282gh%20-%20v%5E2%29r%5E2%7D%7Bv%5E2%7D)
![I = \dfrac{mr^2(2\times 9.8 \times 3.5 - 7.3^2)}{7.3^2}](https://tex.z-dn.net/?f=I%20%3D%20%5Cdfrac%7Bmr%5E2%282%5Ctimes%209.8%20%5Ctimes%203.5%20-%207.3%5E2%29%7D%7B7.3%5E2%7D)
![I =mr^2(0.287)](https://tex.z-dn.net/?f=I%20%3Dmr%5E2%280.287%29)
I = 0.287 MR²
The thermal energy of an object is the energy contained in the motion and vibration of its molecules. Thermal energy is measured through temperature. The energy contained in the small motions of the object's molecules can be broken up into a combination of microscopic kinetic energy and potential energy.
I don't think so, because in order to produce an image, you need a surface behind the mirror. The light will hit the mirror, then it will bounce it back in your eyes and you see the image.
We assume
![a=const](https://tex.z-dn.net/?f=a%3Dconst)
(acceleration is constant. We apply the equation
![v^2=v0^2+2as](https://tex.z-dn.net/?f=v%5E2%3Dv0%5E2%2B2as)
where s is the distance to stop
![v=0(m/s)](https://tex.z-dn.net/?f=v%3D0%28m%2Fs%29)
. We find the acceleration from this equation
![a=-v0^2/(2s)=-70^2/(2*3) =-816.7 (m/s^2) ](https://tex.z-dn.net/?f=a%3D-v0%5E2%2F%282s%29%3D-70%5E2%2F%282%2A3%29%20%3D-816.7%20%28m%2Fs%5E2%29%0A)
We know the acceleration, thus we find the distance necesssary to stop when initial speed is
![v=140 (m/s)](https://tex.z-dn.net/?f=v%3D140%20%28m%2Fs%29)