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If the acceleration due to gravity is 10ms⁻2 and the units of length and time are changed in kilometer and hour respectively, the numerical value of the acceleration is
- a)360000
- b)72,000
- c)36,000
- d)129600
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
If the acceleration due to gravity is 10ms⁻2 and the units of le...
Conversion of Units
To solve this problem, we need to convert the given units of acceleration due to gravity from m/s^2 to km/hr^2.
- 1 m = 0.001 km (divide by 1000)
- 1 s = 1/3600 hr (divide by 3600)
So, the conversion factor for m/s^2 to km/hr^2 is (0.001/3600)^2
Calculations
The given acceleration due to gravity is 10m/s^2. We need to first convert this to km/hr^2.
- 10 m/s^2 = 10 * (0.001/3600)^2 km/hr^2
- = 0.00000001296 km/hr^2
So, the numerical value of the acceleration due to gravity in km/hr^2 is 0.00000001296.
Answer
However, the options given in the question are in whole numbers, so we need to convert this value to a whole number.
- 0.00000001296 km/hr^2 = 12.96 * 10^-9 km/hr^2
- Multiplying both sides by 10^9, we get:
- 12.96 km/hr^2 = 12960000000 km/hr^2
Therefore, the numerical value of the acceleration due to gravity, when the units of length and time are changed to kilometer and hour respectively, is 12,960,000,000 or 12.96 x 10^9 km/hr^2, which is closest to option D, 12,960,000,000 or 12.96 x 10^9.
To solve this problem, we need to convert the given units of acceleration due to gravity from m/s^2 to km/hr^2.
- 1 m = 0.001 km (divide by 1000)
- 1 s = 1/3600 hr (divide by 3600)
So, the conversion factor for m/s^2 to km/hr^2 is (0.001/3600)^2
Calculations
The given acceleration due to gravity is 10m/s^2. We need to first convert this to km/hr^2.
- 10 m/s^2 = 10 * (0.001/3600)^2 km/hr^2
- = 0.00000001296 km/hr^2
So, the numerical value of the acceleration due to gravity in km/hr^2 is 0.00000001296.
Answer
However, the options given in the question are in whole numbers, so we need to convert this value to a whole number.
- 0.00000001296 km/hr^2 = 12.96 * 10^-9 km/hr^2
- Multiplying both sides by 10^9, we get:
- 12.96 km/hr^2 = 12960000000 km/hr^2
Therefore, the numerical value of the acceleration due to gravity, when the units of length and time are changed to kilometer and hour respectively, is 12,960,000,000 or 12.96 x 10^9 km/hr^2, which is closest to option D, 12,960,000,000 or 12.96 x 10^9.
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Community Answer
If the acceleration due to gravity is 10ms⁻2 and the units of le...
1km=1000m, 1m=1/1000km
1hr=3600sec , 1sec=1/3600
g=10 m/s^2
=(10)×(1/1000)×[1/(1/3600)^2]
=3600×3600/100
= 129600
1hr=3600sec , 1sec=1/3600
g=10 m/s^2
=(10)×(1/1000)×[1/(1/3600)^2]
=3600×3600/100
= 129600
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If the acceleration due to gravity is 10ms⁻2 and the units of length and time are changed in kilometer and hour respectively, the numerical value of the acceleration isa)360000b)72,000c)36,000d)129600Correct answer is option 'D'. Can you explain this answer?
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