Question

question 7 of 10
if you use spray-on deodorant, you can find out how fast it comes out of the can if you know the relative pressure inside the can. supposing a full can of deodorant has an exit velocity (v) of 56 feet per second, use the formula below to find the relative pressure inside the can (p) in psi (pounds per square inch):
$v = 8\sqrt{p}$
a. 23 psi
b. 60 psi
c. 49 psi
d. 64 psi

Explanation:

Step1: Substitute \( v = 56 \) into the formula \( v = 8\sqrt{p} \)

We get \( 56 = 8\sqrt{p} \).

Step2: Solve for \( \sqrt{p} \)

Divide both sides by 8: \( \frac{56}{8}=\sqrt{p} \), so \( 7 = \sqrt{p} \).

Step3: Solve for \( p \)

Square both sides: \( p = 7^2 = 49 \).

Answer:

C. 49 psi