Question

Find pressure exerted force of 20 dyens on 15cm square

Answer 1

Hi friend,

First we need to convert dyne to N as unit of force is newton.

F= 20×10^-5

A= 15cm²
A= 15×10^4m²

Pressure = force/area

Pressure= 20×10^-5/15×10^4

Pressure = 1.33×10^-9 pascal.

Hope this helped you a little!!!

Answer 2

$\maltese \: \red{\mid{\underline{\overline{\textbf{Answer}}}\mid}}$

Dyne : is the force which when applied to a body of mass one gram produces an acceleration of 1cm/s^2.

Newton : is the force which when applied to a body of mass one kilogram produces an acceleration of 1m/s^2.

By dimensional analysis in the attachment we can Say :

$\maltese \: 1dyne = {10}^{ - 5} newton$

$\maltese \: \blue{\mid{\underline{\overline{\textbf{Coming to question :-}}}\mid}}$

In this question we have been given that 20dyne force is applied on a body of 15cm^2 area, pressure on object is not known. We have to calculate the pressure .

$\maltese \: p = force \div area$

Now, 1dyne = 10^-5N

$\maltese \: 20dyne = 20 \times {10}^{ - 5} n$

Since area is 15 cm × cm

Therefore It is : 15 × 100 × 100m

= 15 × 10^4 m^2.

Now,the pressure on object is :

$\mapsto \: \frac{20 \times {10}^{ - 5} }{15 \times {10}^{4} }$

$= 1.33 \times {10}^{ - 9} pa$

Therefore pressure on body is 1.33 × 10^-9pa.

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BY SCIVIBHANSHU

THANK YOU

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