Question

Calculate the pressure exerted by a block of wood weighing 49 N on a table top if it is made to lie with its sides of dimensions 20 cm by 10 cm​

Answer 1

Answer :

➥ The pressure on its base = 2450 N/m²

Given :

➤ Force exerted by a wooden block = 49 N

➤ Dimensions of a wooden block = 20 cm by 10 cm

To Find :

➤ Pressure exerted by a wooden block (P) = ?

Required Solution :

❒ In the above question given that force exerted by a wooden block is 49 N and dimensions of a wooden block is 20 cm by 10 cm that means length is 20 cm and it's breadth is 10 cm.

✒ To find the pressure exerted by a wooden block, first we will need to convert the length and breadth of a wooden block cm into m, then after we will the find the Pressure exerted by a wooden block.

◈ Length = 20 cm

→ Length = 20/100

→ Length = 0.2 m

◈ Breadth = 10 cm

→ Breadth = 1/100

→ Breadth = 0.1 m

Now ,

We will find the area of a wooden block by using the formula of area which days Area = l × b.

Here,

• l is the length in m.
• b is the base in m.

As we know that

⇛ Area = length × breadth

⇛ Area = l × b

⇛ Area = 0.2 × 0.1

⇛ Area = 0.02 m²

Now, we have area of wooden block and force acting upon it's.

• Area of a wooden block = 0.02 m²
• Force exerted by a wooden block = 49 N

We will find the pressure exerted by a wooden block by the using the formula of pressure which says P = F/A.

Here,

• P is the pressure in N/m².
• F is the force in N.
• A is the area in m².

✎ So let's find the pressure exerted by a wooden block (P) !

$\tt{:\implies Pressure = \dfrac{Force}{Area}}$

$\tt{:\implies Pressure = \cancel{\dfrac{49}{0.02}}}$

$\bf{:\implies \underline{ \: \: \underline{ \red{ \: \: Pressure = 2450 \: N/m^2 \: \: }} \: \: }}$

║Hence, the pressure exerted by a wooden block is 2450 N/m².║