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Nookie1986 [14]
3 years ago
12

Hello everyone. This is a question about Dimensional Analysis and I came across this question but I am unable to wrap my head ar

ound it. Its a new topic for me and am a bit confused how it works. The question seems simple but cant seem to get to the correct answer. The question:
An equation has three variables A,B and C.
A = B^2 + 2B^4/C . If the dimension of A is [L]^2/[T]^2, what must be the dimensions of B and C?

Options:
1. [B] = [L]^2/[T]^2 and [C] = [L]/[T]
2. [B] = [L]/[T] and [C] = [L]/[T]
3. [B] = [L]/[T] and [C] = (1/2)[T]/[L]
4. [B] = [L]/[T] and [C] = [T]/[L]
5. [B] = [L]/[T] and [C] = (1/2)[L]/[T]

Would be really helpful if someone could explain it. Thank you
Physics
1 answer:
omeli [17]3 years ago
7 0

Answer:

2. [B] = [L]/[T] and [C] = [L]/[T]

Explanation:

I assume you mean this:

A = B² + 2B⁴/C²

Since you can't add numbers with different units (for example, you can't add seconds to meters), each term in the sum must have the same units as A.

B² = [L]²/[T]²

B = [L]/[T]

B⁴/C² = [L]²/[T]²

C²/B⁴ = [T]²/[L]²

C² = B⁴ [T]²/[L]²

C² = ([L]/[T])⁴ [T]²/[L]²

C² = [L]²/[T]²

C = [L]/[T]

Notice we ignore the 2 coefficient, which is unitless.

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Answer:

5m/s/s

Explanation:

force = mass x acceleration

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A 1430 kg car speeds up from 7.50 m/s to 11.0 m/s in 9.30 s. Ignoring friction, how much power did that require?(unit=W)PLEASE H
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Answer:

Kinetic energy = (1/2) (mass) (speed²)

Original KE = (1/2) (1430 kg) (7.5 m/s)²  =  40,218.75 joules

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Explanation:

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2 years ago
What is 800,000,000 meters in scientific notation
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8 x 10^8 = 800,000,000

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7 0
3 years ago
Read 2 more answers
As a way of determining the inductance of a coil used in a research project, a student first connects the coil to a 5.62 V batte
Reptile [31]

Answer:

Its inductance L = 166 mH

Explanation:

Since a current, I = 0.698 A is obtained when a voltage , V = 5.62 V is applied, the resistance of the coil is gotten from V = IR

R = V/I = 5.62/0.698 = 8.052 Ω

Since we have a current of I' = 0.36 A (rms) when a voltage of V' = 35.1 V (rms) is applied, the impedance Z of the coil is gotten from

V₀' = I₀'Z where V₀ = maximum voltage = √2V' and I₀ = maximum current = √2I'

Z = V'/I' = √2 × 35.1 V/√2 × 0.36 V = 97.5 Ω

WE now find the reactance X of the coil from

Z² = X² + R²

X = √(Z² - R²)

= √(97.5² - 8.05²)

= √(9506.25 - 64.8025)

= √9441.4475

= 97.17 Ω

Now, the reactance X = 2πfL where f = frequency of generator = 93.1 Hz and L = inductance of coil.

L = X/2πf

= 97.17/2π(93.1 Hz)

= 97.17 Ω/584.965 rad/s

= 0.166 H

= 166 mH

Its inductance L = 166 mH

5 0
3 years ago
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Arlecino [84]

Answer:

<u>e. All of these.</u>

Explanation:

  • The skin in humans ranges from darkest to the lightest color, as a result of genetic makeup, exposure to the sun rays, skin pigmentation may be either due to the evolutionary process of natural selection, and it may be due to the biochemical effects of the UV rays.
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  • The emergence of skin pigments dates back to 1.2 billion years ago. When the harsh climatic conditions drove the early humans into arid and open landscapes. In general, the people living near to equator have darkly pigmented than those living in poles are lightly pigmented.
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