Convert (gram • meter) / second to hartree

Learn how to convert 1 (gram • meter) / second to hartree step by step.

Calculation Breakdown

Set up the equation

1.0 (\frac{g r a m \times m e t e r}{s e c o n d}) = x (h a r t r e e)

Define the base values of the selected units in relation to the SI unit

(j o u l e)

Left side: 1.0 (\frac{g r a m \times m e t e r}{s e c o n d}) = 10^{- 3} (j o u l e) = 10^{- 3} (J)

Right side: 1.0 (h a r t r e e) = 4.359744 \times 10^{- 18} (j o u l e) = 4.359744 \times 10^{- 18} (J)

Insert known values into the conversion equation to determine

x

1.0 (\frac{g r a m \times m e t e r}{s e c o n d}) = x (h a r t r e e)

Insert known values =>

1.0 \times 10^{- 3} \times (j o u l e) = x \times 4.359744 \times 10^{- 18} \times (j o u l e)

Or

1.0 \cdot 10^{- 3} \cdot (J) = x \cdot 4.359744 \times 10^{- 18} \cdot (J)

Cancel SI units

1.0 \times 10^{- 3} \cdot (J) = x \times 4.359744 \times 10^{- 18} \times (J)

Conversion Equation

10^{- 3} = x \times 4.359744 \times 10^{- 18}

Cancel factors on both sides

Cancel factors

10^{- 3} = x \times 4.359744 \times {10^{- 18}}^{10^{- 15}}

Simplify

1.0 = x \times 4.359744 \times 10^{- 15}

Switch sides

x \times 4.359744 \times 10^{- 15} = 1.0

Isolate

x

Multiply both sides by

(\frac{1.0}{4.359744 \times 10^{- 15}})

x \times 4.359744 \times 10^{- 15} \times \frac{1.0}{4.359744 \times 10^{- 15}} = \times \frac{1.0}{4.359744 \times 10^{- 15}}

Cancel

x \times 4.359744 \times 10^{- 15} \times \frac{1.0}{4.359744 \times 10^{- 15}} = \frac{1.0}{4.359744 \times 10^{- 15}}

Simplify

x = \frac{1.0}{4.359744 \times 10^{- 15}}

Rewrite equation

\frac{1.0}{10^{- 15}} can be rewritten to 10^{15}

Rewrite

x = \frac{10^{15}}{4.359744}

Solve

x

x \approx 2.2937126584 \times 10^{14} \approx 2.2937 \times 10^{14}

Conversion Equation

1.0 (\frac{g r a m \times m e t e r}{s e c o n d}) \approx 2.2937 \times 10^{14} (h a r t r e e)

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