Answer:
109.5 million years
Explanation:
The question asked us to find the time.
Remember that
Rate of velocity = distance / time, and this,
time taken = distance/rate
Due to the confusing nature of the units, we would have to be converting them to a more uniform one.
1 km is equal to 9.461*10^12 km/light-year, that's if we try to convert km to light year.
Since the speed is in km, the distance has to be in km also, and therefore, we convert ly to km:
4.5 light-years = 9.461*10^12 km/light-year) = 42.57*10^13 km
We that this value as our distance, in km.
Also,
Time = distance/speed
Time = 45.57*10^13 km / 490 km/hr = 9.3*10^11 hr
Now the next step is to convert hours to years, using the conversion factor 8766 hr/yr.
time (in years) = 9.6*10^11 hr / 8766 hr/yr) = 10.95*10^7 years
the final step is to divide the time in years by 10^6 years/million years, which gives the final answer as the trip takes 109.5 million years.
Answer:
His results gave the first evidence that atoms were made up of smaller particles.
Answer:
E= vB
Explanation:
If and when the charge on a rod happens to be in equilibrium, then we say that the electric force in conjunction with the magnetic force that is acting on the charge on the rod are both equal and opposite in direction. Mathematically, we say
Fe = Fm, where
Fe = qE and
Fm = qvB
If we substitute and make them equal to one another, we have
qE = qvB, and finally, on simplifying further, we have
E = vB
When charges in a rod are in equilibrium, the magnitude of the electric field within the rod is zero. This principle stems from Gauss's law, which states that excess charge would be located on the surface of the conductor only, leaving the electric field basically zero in an equilibrium state.
The question is asking about the magnitude EEE of the electric field within a rod when the charges in the rod are in equilibrium. According to the principles of Physics, especially using Gauss's law, a key aspect to remember is that the electric field inside a conductor at equilibrium is essentially zero. This is because any excess charge would be located on the surface of the conductor only.
The magnitude of the electric field E is determined by the relationship:
E = qenc / 0
However, because the charge within the conductor, qenc, is zero in an equilibrium state, it implies that the magnitude of the electric field within the rod, E, is also zero. Hence, when a rod is in equilibrium, the magnitude of the electric field within the rod is zero.
#SPJ3
Answer:
U/U₀ = 2
(factor of 2 i.e U = 2U₀)
Therefore, the energy stored in the capacitor is doubled when the plate separation is doubled while the capacitor has been disconnected
Explanation:
Energy stored in a capacitor can be expressed as;
U = 0.5CV^2 = Q^2/2C
And
C = ε₀ A/d
Where
C = capacitance
V = potential difference
Q = charge
A = Area of plates
d = distance between plates
So
U = Q^2/2C = dQ^2/2ε₀ A
The initial energy of the capacitor at d = d₀ is
U₀ = Q^2/2C = d₀Q^2/2ε₀ A ....1
When the plate separation is increased after the capacitor has been disconnected, the charge Q of the capacitor remain constant.
The final energy stored in the capacitor at d = 2d₀ is
U = 2d₀Q^2/2ε₀ A ...2
The factor U/U₀ can be derived by substituting equation 1 and 2
U/U₀ = (2d₀Q^2/2ε₀ A)/( d₀Q^2/2ε₀ A )
Simplifying we have;
U/U₀ = 2
U = 2U₀
Therefore, the energy stored in the capacitor is doubled when the plate separation is doubled while the capacitor has been disconnected.
Answer:
Gemini
Explanation:
Zodiac Constellation or Sun sign is the constellation in which the Sun resides on the date of birth of a person. Throughout the year the Sun crosses across 12 constellations thus there are 12 Sun-signs. Though astronomically the Sun crosses across 13 constellations so there should be 13 zodiacs but most of the astrologers do not accept this. On the date of June 20, the Sagittarius which is a summer constellation and a zodiac can be seen high up in the sky in the night time. At this time the Sun will be in a constellation which is almost opposite to Sagittarius in the celestial sphere. That constellation is Gemini. Thus for a person born on 20 June, zodiac will be Gemini.
Answer:
3.27
Explanation:
Electric Power: This can be defined as the rate at which electric energy is consumed. The unit of power is Watt (W).
Mathematically, electric power is represented as
P = VI ..................................... Equation 1.
Where P = power, V = voltage, I = Current.
For Circuit A,
P₁ = V₁I₁ ................................... Equation 2
Where P₁ = maximum power delivered by circuit A, V₁ = Voltage of circuit A, I₁ = circuit breaker rating of circuit A.
Given: V₁ = 218 V, I₁ = 45 A.
Substituting into equation 2
P₁ = 218×45
P₁ = 9810 W.
For Circuit B,
P₂ = V₂I₂............................. Equation 3
Where P₂ = maximum power delivered by the circuit B, V₂ = voltage of circuit B, I₂ = circuit breaker rating of circuit B
Given: V₂ = 120 V, I₂ = 25 A.
Substitute into equation 3
P₂ = 120(25)
P₂ = 3000 W.
Ratio of maximum power delivered by circuit A to that delivered by circuit B = 9810/3000
= 3.27.
Thus the ratio of maximum power delivered by circuit A to circuit B = 3.27