Question

If the acceleration due to gravity is $ 10\text{ }m{{s}^{-2}} $ and the units of length and time are changed to kilometre and hour respectively, the numerical value of the acceleration due to gravity is:

• A. 360000
• B. 72000
• C. 36000
• D. 129600
• E. 73000

Answer 1

Answer: (D)

$ {{n}^{2}}=10\left[ \frac{m}{km} \right]{{\left[ \frac{s}{h} \right]}^{-2}} $ $ =10\left[ \frac{m}{1000m} \right]{{\left[ \frac{s}{3600s} \right]}^{-2}} $ $ =129600 $