If g - cm² - sec⁻¹ = x Js, then the number x is equal to:
1) 1 × 10⁻⁷
2) 1 × 10⁷
3) 1 × 10⁻⁵
4) 1 × 10⁵

To solve this problem, we need to convert the given units g ⋅ cm 2 ⋅ s − 1 to Joules (Js). We can start by understanding the relation between these units and the SI units.

Gram (g) to kilogram (kg): 1 gram (g) = 1 × 1 0 − 3 kilograms (kg)

Centimeter (cm) to meter (m): 1 cm = 1 × 1 0 − 2 m

Second (s) is already in the correct unit.


Using these conversions, we can rewrite g ⋅ cm 2 ⋅ s − 1 as: 1 g ⋅ cm 2 ⋅ s − 1 = ( 1 × 1 0 − 3 k g ) ⋅ ( 1 × 1 0 − 2 m ) 2 ⋅ s − 1 = 1 × 1 0 − 3 ⋅ 1 × 1 0 − 4 k g ⋅ m 2 ⋅ s − 1 = 1 × 1 0 − 7 k g ⋅ m 2 ⋅ s − 1
The unit k g ⋅ m 2 ⋅ s − 1 is equivalent to the Joule (J) in terms of energy or work. Thus, x = 1 × 1 0 − 7 .
Therefore, the correct answer choice is 1) 1 × 10⁻⁷ .
So, the number x is equal to 1 × 1 0 − 7 Joules (Js).

Answered by MasonWilliamTurner | 2025-07-07

The number x, converted from g·cm²·sec⁻¹ to Joules (Js), is equal to 1 × 10⁻⁷. Therefore, the correct answer choice is 1) 1 × 10⁻⁷.
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Answered by MasonWilliamTurner | 2025-07-18