Answer:
<em>The depth will be equal to</em> <em>6141.96 m</em>
<em></em>
Explanation:
pressure on the submarine
= 62 MPa = 62 x 10^6 Pa
we also know that
= ρgh
where
ρ is the density of sea water = 1029 kg/m^3
g is acceleration due to gravity = 9.81 m/s^2
h is the depth below the water that this pressure acts
substituting values, we have
= 1029 x 9.81 x h = 10094.49h
The gauge pressure within the submarine
= 101 kPa = 101000 Pa
this gauge pressure is balanced by the atmospheric pressure (proportional to 101325 Pa) that acts on the surface of the sea, so it cancels out.
Equating the pressure
, we have
62 x 10^6 = 10094.49h
depth h = <em>6141.96 m</em>
Answer:
2271.16N/C upward
Explanation:
The diagram well illustrate all the forces acting on the mass. The weight is acting downward and the force is acting upward in other to balance the weight.since the question says it is motionless, then indeed the forces are balanced.
First we determine the downward weight using
![W=mg\\g=9.81m/s^{2}](https://tex.z-dn.net/?f=W%3Dmg%5C%5Cg%3D9.81m%2Fs%5E%7B2%7D)
Hence for a mass of 3.82g 0r 0.00382kg we have the weight to be
![W=0.00382kg*9.81m/s^{2}](https://tex.z-dn.net/?f=W%3D0.00382kg%2A9.81m%2Fs%5E%7B2%7D)
![W=0.0375N](https://tex.z-dn.net/?f=W%3D0.0375N)
To calculate the electric field,
![E=f/q\\E=0.0375/16.5*10^{-6} \\E=2271.16N/C](https://tex.z-dn.net/?f=E%3Df%2Fq%5C%5CE%3D0.0375%2F16.5%2A10%5E%7B-6%7D%20%5C%5CE%3D2271.16N%2FC)
Since the charge on the mass is negative, in order to generate upward force, there must be a like charge below it that is repelling it, Hebce we can conclude that the electric field lines are upward.
Hence the magnitude of the electric force is 2271.16N/C and the direction is upward
Explanation:
Given that,
Two resistors of resistance 6 ohm and 3 ohm are connected in series and then in parallel.
For series combination,
![R_{eq}=R_1+R_2](https://tex.z-dn.net/?f=R_%7Beq%7D%3DR_1%2BR_2)
For parallel combination,
![\dfrac{1}{R_{eq}}=\dfrac{1}{R_1}+\dfrac{1}{R_2}](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7BR_%7Beq%7D%7D%3D%5Cdfrac%7B1%7D%7BR_1%7D%2B%5Cdfrac%7B1%7D%7BR_2%7D)
When 6 ohm and 3 ohm are in series,
![R_s=6+3\\\\R_s=9\ \Omega](https://tex.z-dn.net/?f=R_s%3D6%2B3%5C%5C%5C%5CR_s%3D9%5C%20%5COmega)
When 6 ohm and 3 ohm are in paralle,
![\dfrac{1}{R_p}=\dfrac{1}{6}+\dfrac{1}{3}\\\\R_p=2\ \Omega](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7BR_p%7D%3D%5Cdfrac%7B1%7D%7B6%7D%2B%5Cdfrac%7B1%7D%7B3%7D%5C%5C%5C%5CR_p%3D2%5C%20%5COmega)
So, the equivalent resistance in series combination is 9 ohms and in parallel combination it is 2 ohms.
Answer:
The electromagnetic force
Explanation:
The electromagnetic force is one of the four fundamental forces of nature. Namely, they are:
- Electromagnetic force: it is the force exerted between electrically charged particles (and between magnetic fields). The force can be either attractive (if the two charges have opposite signs) or repulsive (if the two charges have same sign), and it acts over an infinite range.
- Gravitational force: it is the force exerted between objects with mass. It is always attractive, and it also has an infinite range of action. It is the weakest of the four fundamental forces.
- Strong nuclear force: it is the force that acts between protons and neutrons inside the nucleus, and it is responsible for keeping the nucleus together and preventing it from breaking apart (due to the electrostatic repulsion between protons)
- Weak nuclear force: it is the force responsible for certains nuclear decays, such as the beta decay, in which a neutron turns into a proton, emitting an electron and an antineutrino.
Answer:
The well is 7.1 meters deep.
Explanation:
The formula to use here is the distance in a uniformly accelerated motion:
![d = \frac{1}{2}at^2+v_0t+d_0](https://tex.z-dn.net/?f=d%20%3D%20%5Cfrac%7B1%7D%7B2%7Dat%5E2%2Bv_0t%2Bd_0)
where d stands for distance, t for time, a for acceleration, v0 and d0 for initial velocity and distance, respectively. Since the initial distance and velocity are both zero, we are left with the first term. The coin is in free fall and so it is accelerated by gravity:
![d = \frac{1}{2}at^2= \frac{1}{2}gt^2=\frac{1}{2}9.8\frac{m}{s^2}1.2^2s^2=7.1m](https://tex.z-dn.net/?f=d%20%3D%20%5Cfrac%7B1%7D%7B2%7Dat%5E2%3D%20%5Cfrac%7B1%7D%7B2%7Dgt%5E2%3D%5Cfrac%7B1%7D%7B2%7D9.8%5Cfrac%7Bm%7D%7Bs%5E2%7D1.2%5E2s%5E2%3D7.1m)
The well is 7.1 meters deep.