question 14\nacceleration due to gravity of a free - falling object is 9.8 m/s². express this in…

question 14\nacceleration due to gravity of a free - falling object is 9.8 m/s². express this in cm/μs².\n9.8×10⁻⁹ cm/μs²\n9.8×10⁻¹⁰ cm/μs²\n9.8×10⁻⁴ cm/μs²\n9.8 cm/μs²

question 14\nacceleration due to gravity of a free - falling object is 9.8 m/s². express this in cm/μs².\n9.8×10⁻⁹ cm/μs²\n9.8×10⁻¹⁰ cm/μs²\n9.8×10⁻⁴ cm/μs²\n9.8 cm/μs²

Answer

Explanation:

Step1: Convert meters to centimeters

We know that 1 m = 100 cm, so 9.8 m = 9.8×100 cm = 980 cm.

Step2: Convert seconds to micro - seconds

We know that 1 s = 10^6 μs, so 1 s²=(10^6 μs)² = 10^12 μs².

Step3: Calculate the new unit

The acceleration 9.8 m/s² can be rewritten as $\frac{980\text{ cm}}{10^{12}\mu s^{2}}=9.8\times10^{- 10}\text{ cm}/\mu s^{2}$.

Answer:

9.8×10⁻¹⁰ cm/μs²