Question

(a) A force of $200N$ acts on an area of $0.02m^2$. Find the pressure in Pascal.
(b) What force will exert a pressure of $50,000Pa$ on an area of $0.5m^2$?
(c) Find out the area of a body which experiences a pressure of $500Pa$ by a force of $100N$.

• A. (a)$10000Pa$, (b)$25000N$, (c)$0.2m^2$
• B. (a)$1000Pa$, (b)$2500N$, (c)$2m^2$
• C. (a)$100000Pa$, (b)$250000N$, (c)$0.2m^2$
• D. (a)$100Pa$, (b)$250N$, (c)$0.2m^2$

Answer 1

Answer: (A)

(a)$10000Pa$, (b)$25000N$, (c)$0.2m^2$

We know

$Pressure\left(P\right)=\frac{Force\left(F\right)}{Area\left(A\right)}$

(a) $F=200N$ $A=0.02m^2$

$P=\frac{200}{0.02}=10000Pa$

(b) $P=50000Pa$ $A=0.5m^2$

$F=PA=50000\times 0.5=25000N$

(c) $P=500Pa$ $F=100N$

$A=\frac{F}{P}=\frac{100}{500}=0.2m^2$