The closer you are to the ground the more accurate you'll be. That's why most snipers are in the "prone" position.
Answer:
Hence the pressure is ![3\times 10^5 Pa](https://tex.z-dn.net/?f=3%5Ctimes%2010%5E5%20Pa)
Explanation:
Given data
Q=1500 J system gains heat
ΔV=- 0.010 m^3 there is a decrease in volume
ΔU= 4500 J internal energy decrease
We know work done is
W= Q- ΔU
=1500-4500= -3000 J
The change in the volume at constant pressure is
ΔV= W/P
there fore P = W/ΔV= -3000/-0.01= 3×10^5
Hence the pressure is ![3\times 10^5 Pa](https://tex.z-dn.net/?f=3%5Ctimes%2010%5E5%20Pa)
Given the Hubble's constant, the approximate age of the universe is 5.88 × 10⁹ Years.
Given the data in the question;
Hubble's constant; ![H_0 = 51km/s/Mly](https://tex.z-dn.net/?f=H_0%20%3D%2051km%2Fs%2FMly)
Age of the universe; ![t = \ ?](https://tex.z-dn.net/?f=t%20%3D%20%5C%20%3F)
We know that, the reciprocal of the Hubble's constant (
) gives an estimate of the age of the universe (
). It is expressed as:
![Age\ of\ Universe; t = \frac{1}{H_0}](https://tex.z-dn.net/?f=Age%5C%20of%5C%20Universe%3B%20t%20%3D%20%5Cfrac%7B1%7D%7BH_0%7D)
Now,
Hubble's constant; ![H_0 = 51km/s/Mly](https://tex.z-dn.net/?f=H_0%20%3D%2051km%2Fs%2FMly)
We know that;
![1\ light\ years = 9.46*10^{15}m](https://tex.z-dn.net/?f=1%5C%20light%5C%20years%20%3D%209.46%2A10%5E%7B15%7Dm)
so
![1\ Million\ light\ years = [9.46 * 10^{15}m] * 10^6 = 9.46 * 10^{21}m](https://tex.z-dn.net/?f=1%5C%20Million%5C%20light%5C%20years%20%3D%20%5B9.46%20%2A%2010%5E%7B15%7Dm%5D%20%2A%2010%5E6%20%3D%209.46%20%2A%2010%5E%7B21%7Dm)
Therefore;
![H_0 = 51\frac{km}{\frac{s}{Mly} } = 51000\frac{m}{s\ *\ Mly} \\\\H_0 = 51000\frac{m}{s\ *\ (9.46*10^{21}m)} \\\\H_0 = 5.39 *10^{-18}s^{-1}\\](https://tex.z-dn.net/?f=H_0%20%3D%2051%5Cfrac%7Bkm%7D%7B%5Cfrac%7Bs%7D%7BMly%7D%20%7D%20%3D%2051000%5Cfrac%7Bm%7D%7Bs%5C%20%2A%5C%20Mly%7D%20%20%5C%5C%5C%5CH_0%20%3D%2051000%5Cfrac%7Bm%7D%7Bs%5C%20%2A%5C%20%289.46%2A10%5E%7B21%7Dm%29%7D%20%5C%5C%5C%5CH_0%20%3D%20%205.39%20%2A10%5E%7B-18%7Ds%5E%7B-1%7D%5C%5C)
Now, we input this Hubble's constant value into our equation;
![Age\ of\ Universe; t = \frac{1}{H_0}\\\\t = \frac{1}{ 5.39 *10^{-18}s^{-1}} \\\\t = 1.855 * 10^{17}s\\\\We\ convert\ to\ years\\\\t = \frac{ 1.855 * 10^{17}}{60*60*24*365}yrs \\\\t = \frac{ 1.855 * 10^{17}}{31536000}yrs\\\\t = 5.88 *10^9 years](https://tex.z-dn.net/?f=Age%5C%20of%5C%20Universe%3B%20t%20%3D%20%5Cfrac%7B1%7D%7BH_0%7D%5C%5C%5C%5Ct%20%3D%20%5Cfrac%7B1%7D%7B%205.39%20%2A10%5E%7B-18%7Ds%5E%7B-1%7D%7D%20%5C%5C%5C%5Ct%20%3D%201.855%20%2A%2010%5E%7B17%7Ds%5C%5C%5C%5CWe%5C%20convert%5C%20to%5C%20years%5C%5C%5C%5Ct%20%3D%20%20%5Cfrac%7B%201.855%20%2A%2010%5E%7B17%7D%7D%7B60%2A60%2A24%2A365%7Dyrs%20%5C%5C%5C%5Ct%20%3D%20%5Cfrac%7B%201.855%20%2A%2010%5E%7B17%7D%7D%7B31536000%7Dyrs%5C%5C%5C%5Ct%20%3D%205.88%20%2A10%5E9%20years)
Therefore, given the Hubble's constant, the approximate age of the universe is 5.88 × 10⁹ Years.
Learn more: brainly.com/question/14019680
<span>3.36x10^5 Pascals
The ideal gas law is
PV=nRT
where
P = Pressure
V = Volume
n = number of moles of gas particles
R = Ideal gas constant
T = Absolute temperature
Since n and R will remain constant, let's divide both sides of the equation by T, getting
PV=nRT
PV/T=nR
Since the initial value of PV/T will be equal to the final value of PV/T let's set them equal to each other with the equation
P1V1/T1 = P2V2/T2
where
P1, V1, T1 = Initial pressure, volume, temperature
P2, V2, T2 = Final pressure, volume, temperature
Now convert the temperatures to absolute temperature by adding 273.15 to both of them.
T1 = 27 + 273.15 = 300.15
T2 = 157 + 273.15 = 430.15
Substitute the known values into the equation
1.5E5*0.75/300.15 = P2*0.48/430.15
And solve for P2
1.5E5*0.75/300.15 = P2*0.48/430.15
430.15 * 1.5E5*0.75/300.15 = P2*0.48
64522500*0.75/300.15 = P2*0.48
48391875/300.15 = P2*0.48
161225.6372 = P2*0.48
161225.6372/0.48 = P2
335886.7441 = P2
Rounding to 3 significant figures gives 3.36x10^5 Pascals.
(technically, I should round to 2 significant figures for the result of 3.4x10^5 Pascals, but given the precision of the volumes, I suspect that the extra 0 in the initial pressure was accidentally omitted. It should have been 1.50e5 instead of 1.5e5).</span>
Answer:
Induced current, I = 18.88 A
Explanation:
It is given that,
Number of turns, N = 78
Radius of the circular coil, r = 34 cm = 0.34 m
Magnetic field changes from 2.4 T to 0.4 T in 2 s.
Resistance of the coil, R = 1.5 ohms
We need to find the magnitude of the induced current in the coil. The induced emf is given by :
![\epsilon=-N\dfrac{d\phi}{dt}](https://tex.z-dn.net/?f=%5Cepsilon%3D-N%5Cdfrac%7Bd%5Cphi%7D%7Bdt%7D)
Where
is the rate of change of magnetic flux,
And ![\phi=BA](https://tex.z-dn.net/?f=%5Cphi%3DBA)
![\epsilon=-NA\dfrac{dB}{dt}](https://tex.z-dn.net/?f=%5Cepsilon%3D-NA%5Cdfrac%7BdB%7D%7Bdt%7D)
![\epsilon=-78\times \pi (0.34)^2\dfrac{(0.4-2.4)}{2}](https://tex.z-dn.net/?f=%5Cepsilon%3D-78%5Ctimes%20%5Cpi%20%280.34%29%5E2%5Cdfrac%7B%280.4-2.4%29%7D%7B2%7D)
![\epsilon=28.32\ V](https://tex.z-dn.net/?f=%5Cepsilon%3D28.32%5C%20V)
Using Ohm's law, ![\epsilon=I\times R](https://tex.z-dn.net/?f=%5Cepsilon%3DI%5Ctimes%20R)
Induced current, ![I=\dfrac{\epsilon}{R}](https://tex.z-dn.net/?f=I%3D%5Cdfrac%7B%5Cepsilon%7D%7BR%7D)
![I=\dfrac{28.32}{1.5}](https://tex.z-dn.net/?f=I%3D%5Cdfrac%7B28.32%7D%7B1.5%7D)
I = 18.88 A
So, the magnitude of the induced current in the coil is 18.88 A. Hence, this is the required solution.