In general it is best to conceptualize vectors as arrows in space, and then to make calculations with them using their component

The formula to apply is expressed as:

ρ = nA/VcNₐ
where
ρ signifies density
n represents the number of atoms within a unit cell (for FCC, n=4)
A indicates the atomic weight
Vc stands for the cubic cell volume equal to a³, with a being the side length (for FCC, a = 4r/√2, where r is the radius)\
Nₐ denotes Avogadro's number, which is 6.022×10²³ atoms/mol

Calculating the radius: r = 0.1387 nm*(10⁻⁹ m/nm)*(100 cm/1m) = 1.387×10⁻⁸ cm
Then find a: a = 4(1.387×10⁻⁸ cm)/√2 = 3.923×10⁻⁸ cm
Then calculate V: V = a³ = (3.923×10⁻⁸ cm)³ = 6.0376×10⁻²³ cm³

Now compute density:
ρ = [(4 atoms)(195.08 g/mol)]/[(6.0376×10⁻²³ cm³)(6.022×10²³ atoms/mol)]Finally, we get ρ = 21.46 g/cm³

Answer:

The total energy saving achieved will be 0.8 KWH

Explanation:

It is provided that there are 50 long light bulbs rated at 100 W, thus the total power consumed by 50 bulbs equals 100×50 = 5000 W = 5 KW

Additionally, 30 bulbs are rated at 60 W

Consequently, the total power consumption of 30 bulbs is 30×60 = 1800 W = 1.8 KW

The cumulative power of all 80 bulbs is 1.8 + 5 = 6.8 KW

Considering the operation time of 3 hours

We know that energy

Now, the power consumption per CFL bulb equals 25 W

Thus for 80 bulbs, power equals 80×25 = 2000 W = 2 KW

So the energy for 80 bulbs amounts to 2×3 = 6 KWH

Hence, the overall energy saving is 6.8 - 6 = 0.8 KWH

Answer:

Δx=(v+v0/2)t

Explanation:

We can determine which kinematic equation to apply by selecting the one that encompasses the known variables as well as the unknown we aim to solve for.

In this scenario, the unknown we wish to determine is the initial velocity v_0v

0

​  v, start subscript, 0, end subscript of the roller coaster.

Answer with Explanation:

Concepts and reasoning

The principle for addressing this question is that a capacitor in an RC circuit allows current to flow until fully charged. Once charged, it prevents any further current from moving through. Conversely, the situation is different with an inductor in an RL circuit. In accordance with Faraday's law, an inductor generates an electromagnetic force to counteract the applied voltage, but when no change in flux occurs, it behaves akin to a regular wire as if the inductor is absent.

In the accompanying diagram, a resistor is connected in series with a capacitor.

As we observe

the voltage across both the capacitor and the source.

Voltage across a resistor in an RC circuit.

Voltage across a resistor in an RL circuit.

Answer:

Please refer to the explanation

Explanation:

Race distance is 5km

Top speed = 45 yards

Converting yards to kilometers:

1km equals 1093.613 yards

x = 45 yards

(1093.613 * x) = 45

x = 45 / 1093.613

x = 0.0411480 km

Where x indicates the maximum distance he can sustain his highest speed in kilometers.

Thus, from the data available, we can determine that Lamar will not be able to maintain his maximum speed for the full 5km race, as he can only sustain it for 0.0411 kilometers.