Apparent weight = Weight - Weight of the displaced Liquid
<span>900 = 1400 - V x 998 x 9.8 </span>
<span>V = 5.1 x 10^-2 m^3 </span>
Answer:
See description
Explanation:
This is an example where we need Tornicelli's law, which states that the horizontal speed of a fluid that starts falling from an orifice is the same speed that an object acquires from free-falling.

we are given:
![h_{cilinder} = 0.2 [m]\\h = 0.05 [m]\\d=0.15[m]](https://tex.z-dn.net/?f=h_%7Bcilinder%7D%20%3D%200.2%20%5Bm%5D%5C%5Ch%20%3D%200.05%20%5Bm%5D%5C%5Cd%3D0.15%5Bm%5D)
the horizontal velocity of the water at the start is:
![v = \sqrt{2(9.8)(0.05)}=0.989949 [m/s]=1[m/s]](https://tex.z-dn.net/?f=v%20%3D%20%5Csqrt%7B2%289.8%29%280.05%29%7D%3D0.989949%20%5Bm%2Fs%5D%3D1%5Bm%2Fs%5D)
now we need to find the time for the water drops to fall d:
as the gravity is the only force interacting with the water we have:

replace for y = d
![0.15 = \frac{1}{2} g*t^2=>t=\sqrt{\frac{2*0.15}{9.8}}=0.1749[s]](https://tex.z-dn.net/?f=0.15%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20g%2At%5E2%3D%3Et%3D%5Csqrt%7B%5Cfrac%7B2%2A0.15%7D%7B9.8%7D%7D%3D0.1749%5Bs%5D%20)
now that we have t we notice that there are no horizontal forces interacting with the water, so the horizontal position is given by:

Finally, we replace v and t:
![x(2.45) = 1*0.1749 = 0.1749 [m]=17.49[cm]](https://tex.z-dn.net/?f=x%282.45%29%20%3D%201%2A0.1749%20%3D%200.1749%20%5Bm%5D%3D17.49%5Bcm%5D)
We are given with a volume of a cube equal to 512 cm3. In this case, when the volume is expressed to cubic meters, the volume will still stay the same but the number of cubic units would decrease. a centimeter is a smaller unit than a meter, hence the value given should be divided by 1 million to express to m3.
Answer:
Explanation:
Given:
Charge = <em>q</em>
Electric field strength =
weight of the droplet = <em>mg</em>
The charge is suspended motionless. This is because the electric force on the charge is balanced by the weight of the droplet.
electric force on charged droplet, 
This is balanced by the weight, 
Equating the two:
