The reason why there is no energy shortage nor will there ever be is because energy is being preserved and conserved and only changes form. It never gets lost or increased.
The radius, r, of the child from the center of the wheel is
r = 1.3 m
The wheel makes one revolution in 4.2 s. Its angular velocity is
ω = (2π rad)/(4.2 s) = 1.496 rad/s
The linear speed of the child is the tangential velocity, given by
v = rω
= (1.3 m)*(1.496 rad/s)
= 1.945 m/s
Answer: 1.95 m/s (nearest hundredth)
Answer:
9155 years old
Explanation:
We use the following expression for the decay of a substance:
![N = N_0\,\,e^{-k*t}](https://tex.z-dn.net/?f=N%20%3D%20N_0%5C%2C%5C%2Ce%5E%7B-k%2At%7D)
So we first estimate the value of k knowing that the half-life of the C14 is 5730 years:
![N = N_0\,\,e^{-k*t}\\N_0/2=N_0\,\,e^{-k*5730}\\1/2 = e^{-k*5730}\\ln(1/2)=-k*5730\\k= 0.00012](https://tex.z-dn.net/?f=N%20%3D%20N_0%5C%2C%5C%2Ce%5E%7B-k%2At%7D%5C%5CN_0%2F2%3DN_0%5C%2C%5C%2Ce%5E%7B-k%2A5730%7D%5C%5C1%2F2%20%3D%20e%5E%7B-k%2A5730%7D%5C%5Cln%281%2F2%29%3D-k%2A5730%5C%5Ck%3D%200.00012)
so, now we can estimate the age of the artifact by solving for"t" in the equation:
![1/3=e^{-0.00012*t}\\ln(1/3)= -0.00012*t\\t=9155. 102](https://tex.z-dn.net/?f=1%2F3%3De%5E%7B-0.00012%2At%7D%5C%5Cln%281%2F3%29%3D%20-0.00012%2At%5C%5Ct%3D9155.%20102)
which we can round to 9155 years old.
Answer:
The values is ![B = 3.2 *10^{-8} \ T](https://tex.z-dn.net/?f=B%20%20%3D%203.2%20%2A10%5E%7B-8%7D%20%5C%20%20T)
The direction is out of the plane
Explanation:
From the question we are told that
The magnitude of the electric field is ![E = 9.6 \ V/m](https://tex.z-dn.net/?f=E%20%20%3D%20%209.6%20%5C%20%20V%2Fm)
The magnitude of the magnetic field is mathematically represented as
![B = \frac{E}{c}](https://tex.z-dn.net/?f=B%20%20%3D%20%5Cfrac%7BE%7D%7Bc%7D)
where c is the speed of light with value
![B = \frac{ 9.6}{3.0 *10^{8}}](https://tex.z-dn.net/?f=B%20%20%3D%20%5Cfrac%7B%209.6%7D%7B3.0%20%2A10%5E%7B8%7D%7D)
![B = 3.2 *10^{-8} \ T](https://tex.z-dn.net/?f=B%20%20%3D%203.2%20%2A10%5E%7B-8%7D%20%5C%20%20T)
Given that the direction off the electromagnetic wave( c ) is northward(y-plane ) and the electric field(E) is eastward(x-plane ) then the magnetic field will be acting in the out of the page (z-plane )
Answer:
0.006<357<700.003<6010<9256.0<9520.00