Question

A box is pulled with a force of 25N to produce a displacement of 15m. If the angle between the force and displacement is 30o, find the work done by the force.​

Answer 1

Given

• Force = 25 N
• Displacement = 15 m
• Angle between the force and the displacement is 30°

To Find

• Work Done

Solution

☯ Work = Fs cosθ

• Here the value of θ is 30°

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✭ According to the Question :

→ Work = Fs cosθ

• F = Force = 25 N
• s = Displacement = 15 m
• θ = Angle between the force & the Displacement = 30°

→ Work = 25 × 15 × cos 30°

→ Work = 25 × 15 × √3/2

→ Work = 375 × √3/2

→ Work = 187.5 × √3

→ Work = 187.5 × 1.73

→ Work = 324.375 J

∴ The work done by the force is 324.375 J

Answer 2

${\bold{\sf{\underline{Understanding \: the \: question}}}}$

➨ This question says that a box is pulled with a force of 25N to produce a displacement of 15m. Now the question says that if the angle between the force and displacement is 30° now we have to find the work done by the force!

${\bold{\sf{\underline{Given \: that}}}}$

➨ 25N is the F which the box is pulled.

➨ It produced displacement of 15 m

➨ Angle between the displacement and the force = 30°

${\bold{\sf{\underline{To \: find}}}}$

➨ Work doned by the force.

${\bold{\sf{\underline{Solution}}}}$

➨ Work doned by the force = 324.375 Joules

${\bold{\sf{\underline{Using \: concept}}}}$

➨ Formula to find work doned

${\bold{\sf{\underline{Using \: formula}}}}$

➨ Work doned = Fs cosθ

${\bold{\sf{\underline{Also \: means \: or \: denote}}}}$

➨ F denotes Force

➨ s denotes displacement

➨ The value of θ is 30°

${\bold{\sf{\underline{Full \: solution}}}}$

~ Finding work doned

➨ Work doned = Fs cosθ

➨ Work doned = Fs cos 30°

➨ Work doned = 25(15) × cos × 30°

➨ Work doned = 25× 15 × cos × 30°

➨ Work doned = 25 × 15 × √3/2

➨ Work doned = 375 × √3/2

• Cancelling 375 by 2

➨ Work doned = 187.5 × √3

• Converting √3 into decimals

➨ Work doned = 187.5 × 1.73

➨ Work doned = 324.375 Joules