Math, asked by 16jchristian, 11 months ago

A box has a base area of 1.7 m2.
The box is placed on the ground and exerts a force of 3.7 kN.
What pressure is the force applied with?
Give your answer in kN/m2 and rounded to 2 dp.

Answers

Answered by EliteSoul
7

ɢɪᴠᴇɴ

Here given that area of box 1.7 m² & it exerts a force of 3.7 kN

ᴛᴏ ꜰɪɴᴅ

We have to find out what pressure was the force applied

ꜱᴏʟᴜᴛɪᴏɴ

As we know that, pressure is equal to division of force & area.

ᴇQᴜᴀᴛɪᴏɴ

⇒ Pressure = Force/Area

ᴘᴜᴛᴛɪɴɢ ᴠᴀʟᴜᴇꜱ ᴡᴇ ɢᴇᴛ :

⇒ Pressure = 3.7/1.7 kN/m²

Pressure = 2.18 kN/m²

ᴛʜᴇʀᴇꜰᴏʀᴇ

Pressure is 2.18 kN/m² with which the force was applied.

ꜱᴏᴍᴇ ᴍᴏʀᴇ ꜰᴏʀᴍᴜʟᴀꜱ

⟼ Density = Mass/Volume

⟼ Impulse = Mass × Acceleration

⟼ Momentum = Mass × velocity

Answered by ғɪɴɴвαłσℜ
12

Aɴꜱᴡᴇʀ

☞ Pressure = 2.18 kN/m²

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Gɪᴠᴇɴ

✭ Base area of a box = 1.7 m²

✭ When the box was placed on the ground then ot exerts a force of 3.7 kN

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ᴛᴏ ꜰɪɴᴅ

➤ What is the amount of pressure that the force is being applied with

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Sᴛᴇᴘꜱ

❍ Actually the question directly gives us our answer we have both the values the force and the area on which it is applied. So we can directly find the pressure.

The pressure applied by a body is given by,

 \large  {\underline{ \boxed{  \orange{\tt{}pressure =  \frac{force}{area} }}}}

So substituting the given values in the above values,

\large\tt\dashrightarrow{} Pressure = \frac{3.7}{1.7} \\ \\ \large\tt\dashrightarrow{} Pressure= \frac{3.7×10}{1.7×10} \\ \\ \large\tt\dashrightarrow{} \frac{\cancel{37}}{\cancel{17}} \\ \\ \large\tt{\pink{\dashrightarrow Pressure= 2.18\: kN/{m}^{2}}}

✪ So the pressure will be equal to 2.18 kN/

For better understanding:-

☆ We multiplied them by 10 just to make the division easy.

☆ Whenever you see a question like this if the wanted values are given then directly substitute in the formula.

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About Pressure :-

Pressure-: Pressure simply it is defined as the magnitude of the normal force acting per unit area. Pressure comes under scalar quantity.

✴ SI UNIT-: Pascal(Pa), 1 Pa = 1N/m².

\sf \bold{{Dimension:} | {M}^{1}{L}^{ - 1}{T}^{ - 2} | }

➜ Types of Pressure-

1) Atmospheres Pressure-: Pressure exerted by the atmosphere is known as atmospheric pressure. Barometer is used to measure the atmospheric pressure.

2) Gauge Pressure-: When the pressure is excess to atmospheric pressure then it is measured with the help of measuring instrument known as manometer and that pressure is known as guage pressure.

3) Absolute Pressure-: It is collection of both atmospheric pressure and guage pressure.

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