(0 m/s)^2 - (23.7 m/s)^2 divided by 2(9.00 m/s)^2 ?
To solve this equation, you need to follow the order of operations (also known as PEMDAS, which stands for Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction). Here's how you can solve the given equation step-by-step:
Step 1: Start by calculating the square of (-23.7 m/s).
(-23.7 m/s)^2 = (-23.7)^2 * (m/s)^2 = 561.69 * (m/s)^2 = 561.69 m^2/s^2
Step 2: Calculate the square of (9.00 m/s).
(9.00 m/s)^2 = (9.00)^2 * (m/s)^2 = 81.00 * (m/s)^2 = 81.00 m^2/s^2
Step 3: Now substitute the values into the given equation:
(0 m/s)^2 - (23.7 m/s)^2 / 2(9.00 m/s)^2 = 0 - 561.69 m^2/s^2 / 2 * 81.00 m^2/s^2
Step 4: Divide the numerator by the denominator:
= 0 - 561.69 m^2/s^2 / 162.00 m^2/s^2
Step 5: Simplify the expression by performing the division:
= -561.69 m^2/s^2 / 162.00 m^2/s^2
Step 6: Divide the numerators and denominators by their greatest common divisor (GCD) to simplify the fraction:
= -3.4616666667 m^2/s^2
Therefore, the final answer is approximately -3.4616666667 m^2/s^2.