Given the quantities a = 9.7 m, b = 4.2 s, c = 69 m/s, what is the value of the quantity d = a^3/(cb^2)?
To find the value of the quantity d = a^3 / (c * b^2), we can substitute the given values for a, b, and c into the equation.
Let's start by substituting the values:
a = 9.7 m
b = 4.2 s
c = 69 m/s
Now we can plug in these values into the equation:
d = (9.7 m)^3 / (69 m/s * (4.2 s)^2)
First, let's simplify the expression within the brackets:
d = (9.7^3 * m^3) / (69 * m/s * 4.2^2 * s^2)
Next, let's evaluate the numerical values:
d = (9.7^3 * m^3) / (69 * (m/s) * 4.2^2 * (s^2))
To simplify the units, we can cancel out the common units:
d = (9.7^3) / (69 * 4.2^2)
Now, we can calculate the numerical value:
d = (912.673) / (1235.4)
d ≈ 0.739808
So, the value of the quantity d = a^3 / (c * b^2) is approximately 0.739808.
http://www.google.com/search?hl=en&q=%289.7%29%5E3%2F%2869*4.2%5E2%29&btnG=Search&aq=f&
The dimensions of the answer are m^2/s