Question

$\large\red{\sf{Question}}$
A cube of side 0.2 m rests on the floor, as
shown. Given that the cube has a mass of 50 kg, the pressure exerted by the cube on the floor is
$\large\boxed{\sf{Take \: \: g =10 \: N \: \: {kg}^{ - 1} }}$
A-25 NM-²
B-250 NM-²
C-1250 NM-²
D-12500 NM-²​

Answer 1

Answer:

Given :-

• A cube of side 0.2 m rests on the floor, as shown.
• The cube has a mass of 50 kg.

To Find :-

• What is the pressure exerted by the cube on the floor.

Formula Used :-

$\clubsuit$ Force Formula :

$\bigstar \: \: \sf\boxed{\bold{\pink{F =\: mg}}}\: \: \: \bigstar$

where,

• F = Force
• m = Mass
• g = Acceleration due to gravity

$\clubsuit$ Area Of Square Formula :

$\bigstar \: \: \sf\boxed{\bold{\pink{Area_{(Square)} =\: (Side)^2}}}\: \: \: \bigstar$

$\clubsuit$ Pressure Formula :

$\bigstar \: \: \sf\boxed{\bold{\pink{P =\: \dfrac{F}{A}}}}\: \: \: \bigstar$

where,

• P = Pressure
• F = Force
• A = Area Of Surface

Solution :-

First, we have to find the force :

Given :

• Mass (m) = 50 kg
• Acceleration due to gravity (g) = 10 N/kg or m/s²

According to the question by using the formula we get,

$\implies \bf F =\: mg$

$\implies \sf F =\: 50 \times 10$

$\implies \sf\bold{\green{F =\: 500\: N}}$

Hence, the force is 500 N .

Now, we have to find area of surface :

Given :

• Side = 0.2 m

According to the question by using the formula we get,

$\implies \bf Area\: of\: Square =\: (Side)^2$

So, area of surface will be :

$\implies \sf Area\: of\: Surface =\: (0.2)^2\: m^2$

$\implies \sf Area\: of\: Surface =\: (0.2 \times 0.2)\: m^2$

$\implies \sf\bold{\blue{Area\: of\: Surface =\: 0.04\: m^2}}$

Now, we have to find the pressure exerted by the cube on the floor :

Given :

• Force (F) = 500 N
• Area of Surface (A) = 0.04 m²

According to the question by using the formula we get,

$\implies \bf P =\: \dfrac{F}{A}$

$\implies \sf P =\: \dfrac{500}{0.04}$

$\implies \sf\bold{\red{P =\: 12500\: N/m^2\: or\: Pa}}$

$\small \sf\bold{\purple{\underline{\therefore\: The\: pressure\: exerted\: by\: the\: cube\: on\: the\: floor\: is\: 12500\: N/m^2\: .}}}$

Hence, the correct options is option no (D) 12500 N/m² .

Answer 2

Answer:

• 12500 Pascal is the required answer.

Step-by-step explanation:

According to the Question

It is given that,

• Acceleration due to gravity ,g = 10m/s²
• Mass ,m = 50kg
• Side of cube = 0.2 m

we have to calculate the pressure exerted by the cube on the floor .

As we know that Pressure is defined as the force acting per unit area.

• Pressure = Force/Area

→ Pressure = mg/area

On substituting the value we get

→ Pressure = 50×10/0.2 × 0.2

→ Pressure = 500/0.04

→ Pressure = 50000/4

→ Pressure = 12500 Pa

• Hence, the pressure exerted by the cube on the floor is 12500 Pascal.