Question

A hammer hits a nail with a force of 200N. The point of the nail has an area of 0.5mm2 touching a piece of wood. Calculate the pressure on the wood.

Answer 1

Given:-

• Force applied by hammer (F) = 200N.

• Area on which force acts (A) = 0.5Mm²

To Find:-

• Pressure on the wood (p) .

Solution:-

Firstly we convert the area into m² .

1 Square Metre = 1000000 Millimetre Square

∴ 0.5 Mm² = 0.5/1000000

By using this formula

⟹ Pressure = Force/Area

Put the values which is given above

⟹ p = F/A

⟹ p = 200×1000000/0.5

⟹p = 400000000Pa.

∴ The pressure on the wood is 40000000Pascal

Additional Information

✧ Product of mass and acceleration is called force.

✧ SI unit of Force is Newton.

✧ It is denoted by N.

✧ Force is vector Quantity i.e., both Magnitude and direction.

✧ Force per unit area is called pressure.

✧ SI unit of Pressure is Pascal .

Answer 2

Answer:

the required answer is 4×10^8 N/m^2

GIVEN:

• force, f = 200N
• area,A = 0.5 mm^2

TO FIND:

pressure,P

FORMULA:

P=F/A

SOLUTION:

STEP1: TO CONVERT UNIT OF AREA INTO STANDARD UNIT

• it is necessary to convert unit of area into standard unit.

• SI unit of area is m^2

• 1 mm = 10^-3 m

• 1 mm^2 = 10^-6 m^2

• then 0.5 mm^2 will be A = 0.5 ×10^-6 m^2

STEP 2:

apply the formula,

P=F/A

$p = \frac{200}{0.5 \times {10}^{ - 6} } \\ \\ p = \frac{200}{ \frac{1}{2} \times {10}^{ - 6} } \\ \\ p = \frac{200 \times 2}{ {10}^{ - 6} } \\ \\ p = 400 \times {10}^{6} \\ \\ p = 4 \times {10}^{8}$ N/m^2

ANSWER:

pressure on the wood is 4×10^8 N/m^2