QuestionConvert fingernail growth of 2.50 cm/year to km/s. Show work and express answer in scientific notation. (6 pts)

Studdy Solution

STEP 1

Assumptions1. The speed of fingernail growth is.50 cm/year. We need to convert this speed to km/second3. There are100,000 cm in a km4. There are31,536,000 seconds in a year (60 seconds/minute 60 minutes/hour 24 hours/day *365 days/year)

STEP 2

First, we need to convert the speed from cm/year to km/year. We can do this by dividing the speed by the number of cm in a km.
$Speed_{km/year} = Speed_{cm/year} /100,000$

STEP 3

Now, plug in the given value for the speed in cm/year to calculate the speed in km/year.
$Speed_{km/year} =2.50 /100,000$

STEP 4

Calculate the speed in km/year.
$Speed_{km/year} =2.50 /100,000 =0.000025\, km/year$

STEP 5

Next, we need to convert the speed from km/year to km/second. We can do this by dividing the speed by the number of seconds in a year.
$Speed_{km/second} = Speed_{km/year} /31,536,000$

STEP 6

Now, plug in the calculated value for the speed in km/year to calculate the speed in km/second.
$Speed_{km/second} =0.000025 /31,536,000$

STEP 7

Calculate the speed in km/second.
$Speed_{km/second} =0.000025 /31,536,000 =7.93 \times10^{-10}\, km/second$ The speed of fingernail growth is $7.93 \times10^{-10}$ km/second.

Was this helpful?

Get Studdy

Scan QR code with your device to get Studdy on iOS or Android

QR code

Studdy solves anything!

Download the app

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Parents Influencer program Contact Policy Terms