Questions: A particle moves at a speed of 130.0 km / s. What is this speed in miles / hr ?(1.609 km=1 mile) type your answer...
Transcript text: A particle moves at a speed of $130.0 \mathrm{~km} / \mathrm{s}$. What is this speed in miles $/ \mathrm{hr} ?(1.609 \mathrm{~km}=1 \mathrm{mile})$ type your answer...
Solution
Solution Steps
Step 1: Convert km/s to km/hr
To convert the speed from km/s to km/hr, we need to multiply by 3600 (since there are 3600 seconds in an hour).
$130.0 \mathrm{~km/s} \times 3600 = 468000 \mathrm{~km/hr}$
Step 2: Convert km/hr to miles/hr
Given that $1.609 \mathrm{~km} = 1 \mathrm{~mile}$, we can convert km/hr to miles/hr by dividing by 1.609.
$468000 \mathrm{~km/hr} \div 1.609 = 290732.9 \mathrm{~miles/hr}$