Question

If acceleration due to gravity is 10ms^-2 and the units of length and time are changed to kilometer and hour respectively, what is the numerical value?

Answer 1

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Answer 2

Answer:

129600 is the  required numerical value.

Explanation:

Given in the question that, acceleration due to gravity = 10$ms^{-2}$

Now as we know that, 1 min = 60 second

and 1 hour = 60 × 60 sec

And we also know that 1km = 1000 meter.

Now , from the question we have,$10ms^{-2}$ .

⇒10$ms^{-2}$ = 10 × $\frac{meter}{second^2}$

⇒$10ms^{-2}$ = 10 ×$\frac{\frac{1}{1000} km}{\frac{1}{3600}.\frac{1}{3600} hour }$

⇒$10ms^{-2}$ = 10 ×$\frac{3600(3600)}{1000}$ = 129600$kmh^{-2}$

So, the acceleration due to gravity is 10$ms^{-2} = 129600kmh^{-2}$

Final answer:

Hence, the numerical value of acceleration  is 129600.

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