Answer:
The flux across the cube's surface is 
.
Solution:
According to the details provided:
Cube edge length, a = 8.0 cm = 
.
Volume charge density, 
.
Now,
To find the electric flux:
where
= electric flux
= permittivity of vacuum.
The volume charge density for this scenario is described by:
Cube volume, 
.
Thus,
.
The total charge can be derived from equation (2):
.
.
Now, insert the value of 'q' into equation (1):
.
(B) (length)/(time³) Explanation: The term x = ½ at² + bt³ should meet dimensional consistency. This means that both bt³ and ½ at² must share the same units, which are length. To find the dimension of b, we rearrange the equation: [x] = [b]*[t]³ leads to length = [b]*time³, hence [b] = length/time³.
20.7 volts. The mass of an electron is 9.1 x 10⁻³¹ kg, and its wavelength is 0.27 x 10⁻⁹ m. The velocity of the electron can be determined using de Broglie's equation λ mv = h. Substituting the known values, we arrive at v = 2.7 x 10⁶ m/s. The potential difference through which the electron accelerates is noted, with the charge on an electron being 1.6 x 10⁻¹⁹ C. According to the conservation of energy, (0.5) mv² = q ΔV leads to ΔV = 20.7 volts.
Answer:
7.166 hours = 430 minutes.
Explanation:
As both trains are approaching each other on the same track, their relative speed is the sum of their individual speeds. Hence, the time until they intersect (and inevitably collide) is determined by how long it takes for speeds of 65 mph and 55 mph to cover the total distance of 860 miles. One train will cover part of the distance, while the other will cover the remainder. To calculate the required time, we can apply the formula:
1 hour ---> 120 miles
X ----> 860 miles; hence X = (860 miles * 1 hour)/120 miles = 43/6 hours = 7.16666 hours. To convert this into minutes, recall that 1 hour equals 60 minutes; therefore, 43/6 hours * 60 minutes/hour = 430 minutes.
Answer:
407 steps
Explanation:
Based on the question,
P = mgh/t........... Equation 1
Where P stands for power, m is mass, g denotes gravity, h is height, and t represents time.
Rearranging the equation to solve for h, we have:
h = Pt/mg............. Equation 2
Providing values: P = 746 W, t = 1 minute = 60 seconds, m = 70 kg.
Given constant: g = 9.8 m/s²
By substituting into equation 2
h = 746(60)/(70×9.8)
h = 44760/686
h = 65.25 m
h = 6525 cm
Calculating number of steps: 6525/16
The resulting number of steps = 407 steps
