Physics Examples

Step 1
Solve for .
Step 1.1
Divide each term in by and simplify.
Step 1.1.1
Divide each term in by .
Step 1.1.2
Simplify the left side.
Step 1.1.2.1
Cancel the common factor of .
Step 1.1.2.1.1
Cancel the common factor.
Step 1.1.2.1.2
Divide by .
Step 2
Substitute the given values into .
Step 2.1
Substitute for .
Step 2.2
Substitute for .
Step 2.3
Substitute for .
Step 2.4
Substitute for the constant .
Step 3
Simplify the right side.
Step 3.1
Simplify the numerator.
Step 3.1.1
Multiply by .
Step 3.1.2
Multiply by .
Step 3.1.3
Factor out of .
Step 3.1.4
Rewrite as .
Step 3.1.5
Combine and .
Step 3.1.6
Multiply by .
Step 3.1.7
Multiply by .
Step 3.2
Simplify the numerator.
Step 3.2.1
Reduce the expression by cancelling the common factors.
Step 3.2.1.1
Cancel .
Step 3.2.1.2
Rewrite the expression.
Step 3.2.2
Combine exponents.
Step 3.2.2.1
Combine and .
Step 3.2.2.2
Multiply by .
Step 3.2.2.3
Factor out of .
Step 3.2.2.4
Rewrite as .
Step 3.2.2.5
Combine and .
Step 3.2.2.6
Multiply by .
Step 3.2.2.7
Multiply by .
Step 3.2.3
Cancel .
Step 3.2.3.1
Cancel .
Step 3.2.3.2
Divide by .
Step 3.3
Cancel .
Step 3.3.1
Cancel .
Step 3.3.2
Rewrite the expression.
Step 3.4
Rewrite the expression.
Step 3.5
Combine fractions.
Step 4
Round to significant figures.