Questions: Convert the following measurement. 4.1 × 10^3 m/s^2 = □ cm/ms^2

Convert the following measurement. 4.1 × 10^3 m/s^2 = □ cm/ms^2
Transcript text: Convert the following measurement. \[ 4.1 \times 10^{3} \frac{\mathrm{~m}}{\mathrm{~s}^{2}}=\square \frac{\mathrm{cm}}{\mathrm{~ms}^{2}} \]
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Solution

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Solution Steps

Step 1: Identify the given measurement and the target units

The given measurement is \( 4.1 \times 10^3 \, \frac{m}{s} \). The target units are \( \frac{cm}{ms} \).

Step 2: Convert meters to centimeters

1 meter (m) is equal to 100 centimeters (cm). Therefore, multiply the given value by 100 to convert meters to centimeters: \[ 4.1 \times 10^3 \, \frac{m}{s} \times 100 \, \frac{cm}{m} = 4.1 \times 10^5 \, \frac{cm}{s} \]

Step 3: Convert seconds to milliseconds

1 second (s) is equal to 1000 milliseconds (ms). Therefore, divide the value by 1000 to convert seconds to milliseconds: \[ 4.1 \times 10^5 \, \frac{cm}{s} \div 1000 \, \frac{ms}{s} = 4.1 \times 10^2 \, \frac{cm}{ms} \]

Final Answer

\[ 4.1 \times 10^2 \, \frac{cm}{ms} \]

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