Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.

Please verify your account before proceeding.

In this lesson, we will learn how to convert from a unit with a given SI prefix to the same unit with a different SI prefix.

Q1:

A person in good physical condition can provide 1 . 0 0 × 1 0 2 W of useful electrical power by doing mechanical work, neglecting any problems of generator efficiency and practical considerations such as resting time.

How many people would it take to run a 4.00-kW electric clothes dryer?

How many people would it take to replace a large electric power plant that generates 800 MW?

Q2:

A device called an insolation meter is used to measure the intensity of sunlight. It has an area of 100 cm^{2} and registers 6.50 W. What is the intensity in W/m^{2}?

Q3:

The density of gold is 19.3 g/cm^{3}. What is the density in kilograms per cubic meter?

Q4:

The density of nuclear matter is about 1 0 kg/m^{3}. Given that 1 mL is equal in volume to 1 cm^{3}, what is the density of nuclear matter in Mg/µL?

Q5:

Intensities to which the ear can respond, from the threshold of hearing to the intensity which causes damage after even brief exposure, differ by a factor of 1 0 1 2 . If you could measure distances over the same range of values with a single instrument and the smallest distance that the instrument could measure was 1 mm, what would be the largest distance that the instrument could measure?

Q6:

What is the volume of Jupiter in cubic km^{3}? Use a value of 1 0 2 4 m^{3} for the volume of Jupiter.

Q7:

Mars has a mass of 6 . 4 2 × 1 0 kg and has a volume of 1 . 6 3 × 1 0 km^{3}.

Calculate the density of Mars in kg/m^{3}.

Calculate the diameter of Mars in km.

Q8:

For an 𝑅 𝐿 𝐶 series circuit, 𝑅 = 1 0 0 Ω , 𝐿 = 1 5 0 m H , and 𝐶 = 0 . 2 5 µ F .

If an ac source of variable frequency is connected to the circuit, at what frequency is maximum power dissipated in the resistor?

What is the quality factor of the circuit?

Q9:

What is the area of a circle 3.102 cm in diameter?

Q10:

Restate the mass 1 . 9 3 × 1 0 1 3 kg using a metric prefix such that the resulting numerical value is greater than one but less than 1 000.

Don’t have an account? Sign Up