Question

Which will exert more pressure, 100 kg
mass on 10 m² or 50 kg mass on 4 m2? Give
reason. (Take, g = 10 ms-2)​

Answer 1

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Given:

• Mass = 100 kg, Area = 10 m²---(1)
• Mass = 50 kg, Area = 4 m²--(2)
• g = 10 m/s²

To find:

Which will exert more pressure = ?

Solution:

$\\ \\ P = \dfrac{F}{A} \\ \\ P = pressure \\ \\ F = force \\ \\ A = area$

For an object,

F = mg

For, m = 100 kg,

F = 100 × 10 = 1000 N

$\\ \\ P = \dfrac{1000 \: N}{10 \: m²} \\ \\ = 100 \: N/m² - - - (1)$

For, m = 50 kg

F = mg

F = 50 × 10 = 500 N

$\\ \\ P = \dfrac{500 \: N}{4\: m²} \\ \\ = 125\: N/m² - - - (2)$

From (1) and (2)

125 N/m² > 100 N/m²

Answer:

Thus, mass of 50 kg and area 4 m² will exert more pressure than mass of 100 kg and area 10 m²

Reason:

Therefore, 50 kg will exert more pressure because it has less area

Knowledge booster:

☞ We can consider pressure directly proportional to force and inversely proportional to area if any of the term was equal in the question

☞ Example: Which exert more pressure, F1 = 10N, F2 = 15 N and area is equal in both that is 5 m²

--> Here, Area term is equal and as per P = F/ A.

Pressure is directly proportional to force,

Here, F2 > F1

Thus, 10 N will exert more pressure because it exert more force

☞ Try to examine more such questions to get good hold on it

Answer 2

Explanation:

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