Answer:
E=1/2kmv^2
Explanation:
To get the formula...
The dimension of energy is [ M^1 L^2 T^-2]
The dimension of mass [M]=[M^1 L ^0T ^0]
Dimension of velocity[V]=[M ^0 L ^1 T ^−1]
Let [E]=k[M] ^x[V] ^y
K is constant and it remain a dimensionless quantity.
Therefore, M ^1L ^2T ^−2]=k[M ^1L ^0T ^0] x[M ^0L ^1 T ^−1] y
So, x=1,y=2
E= Kmv^2
K=1/2
Therefore E is 1/2kmv^2.
The weight of 20 kg is
(mass) x (gravity) =
(20 x 9.8) = 196 newtons, downward.
There must be a force of 196 newtons upward on the mass.
Otherwise the mass is accelerating either up or down.
No, he did not perform any work. Work is when you’re using energy which results in a force. Even though he was tired and sweaty, he did not move the boulder. So therefore he did not perform any work.
Answer: 8.1 x 10^24
Explanation:
I(t) = (0.6 A) e^(-t/6 hr)
I'll leave out units for neatness: I(t) = 0.6e^(-t/6)
If t is in seconds then since 1hr = 3600s: I(t) = 0.6e^(-t/(6 x 3600) ).
For neatness let k = 1/(6x3600) = 4.63x10^-5, then:
I(t) = 0.6e^(-kt)
Providing t is in seconds, total charge Q in coulombs is
Q= ∫ I(t).dt evaluated from t=0 to t=∞.
Q = ∫(0.6e^(-kt)
= (0.6/-k)e^(-kt) evaluated from t=0 to t=∞.
= -(0.6/k)[e^-∞ - e^-0]
= -0.6/k[0 - 1]
= 0.6/k
= 0.6/(4.63x10^-5)
= 12958 C
Since the magnitude of the charge on an electron = 1.6x10⁻¹⁹ C, the number of electrons is 12958/(1.6x10^-19) = 8.1x10^24 to two significant figures.
Answer: 4.50*10^-6T (0.00000450071T)
Explanation: A current carrying conductor has been knowing to generate a specific amount of magnetic field.
This is given by the Bio-savart law (mathematical).
The Bio-savart law is a mathematical equation that gives the value of strength of the magnetic field created by a current carrying conductor.
B=(Uo* I) /2πr
Where
B= strength of magnetic field
Uo = magnetic permeability in free space = 1.257 *10^-6
r = distance between current carrying conductor and any reference point.
By doing the neccesary algebra, we have
B=(1.257 *10^-6 * 180)/ (2 * 3.142 * 8)
B= 2.2626 *10^-4 / 50.2857
B=4.5 * 10^-6T (0.00000450071T)