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1 month ago

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When numbers are very small or very large, it is convenient to either express the value in scientific notation and/or by using a

prefix with the unit. A pain-relieving pill has a mass of 0.005 g. Express the pill’s mass in grams using scientific notation or in milligrams. Express your answer in scientific notation to one significant figure or use a prefix on the unit.

1 answer:

Maru [3.3K]1 month ago

4 0

Answer:

5 mg, $5\cdot 10^{-3}g$

Explanation:

First, we should express the mass in grams using scientific notation.

so we find:

m = 0.005 g

To convert it into scientific notation, we observe that we have to shift the decimal three places to the right. Hence in scientific notation it becomes

$m=5\cdot 10^{-3}g$

Converting to milligrams, we must remember that

1 g = 1000 mg

Thus we can set up the ratio

$1 g: 1000 mg = 0.005 g: x$

and we conclude with

$x=\frac{(1000 mg)(0.005 g)}{1 g}=5 mg$

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Response:

(A) 4* 6 ^ ⁻6 T m² (B) 2 * 10 ^ ⁻6 v

Clarification:

Solution

Given that:

A refrigerator magnet with a depth of approximately 2 mm

The estimated magnetic field strength of the magnet is = 5 m T

The Area = 8 cm²

Now,

(A) The magnetic flux ΦB = BA

Therefore,

ΦB = (5 * 10^⁻ 3) ( 4 * 10 ^⁻2) * ( 2 * 10^ ⁻2) Tm²

Thus,

ΦB = 4* 6 ^ ⁻6 T m²

(B) By employing Faraday's Law, the subsequent equation applies:

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Answer:

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Explanation:

Provided data includes:

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Magnetic field, B = 0.5 T

We are tasked to determine the maximum emf produced in the loop, which is founded on Faraday's law. The induced emf can be calculated by:

$\epsilon=\dfrac{d(NBA\cos\theta)}{dt}\\\\\epsilon=NBA\dfrac{d(\cos\theta)}{dt}\\\\\epsilon=NBA\omega \sin\omega t\\\\\epsilon=NB\pi r^2\omega \sin\omega t$

For the maximum emf, $\sin\omega t=1$

Therefore,

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Response:

Clarification:

Provided

weight of disk $m=12.5 kg$

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