Question

A force of 160N is applied at an angle of 600 to the horizontal to pull a box through a distance of 90m. Calculate the work done

Answer 1

Answer:

Explanation:

Force Provided = 160N

Angle provided = 60 degree

Distance Covered = 90m

Work done = Force * Distance *cos( value of given angle)

So,

Work = 160*90*1/2 ------------(Value of cos 60 degree is 1/2)

= 160*45

Work done = 7200 Joules or 7200J.

Remember:-

• Work = Force * Displacement
• Distance and displacement are same if they are straight or horizontal
• Cos theta is also multiplied if angle is provided
• If displacement is zero work done is zero
• In a perpendicular path or circular path work is always zero
• Because tangent is perpendicular to radius in circular motion
• SI Unit of Force is Newton
• SI Unit of work is Joules
• SI unit of distance / displacement is metre.

Answer 2

$\huge\sf{Answer:}$

☆ Given:

⇏ A force of 160N is applied at an angle of 600 to the horizontal to pull a box through a distance of 90m.

☆ Find:

⇏ Calculation the work done.

☆ According to the question:

⇏ Force = 160 N

⇏ Angle = 60°

⇏ Distance = 90 m

☆ Using formula:

$\rightarrow\sf Work \: done = Force \times Distance \: covered \times cos(60)°$

☆ Note:

⇏ Value of cos (60°) = $\sf [ \dfrac{1}{2} ]$

⇏ [J] stands for Joule in physics.

☆ Calculations:

⇏ $\sf Work \: done = 160 \times 90 \times [\dfrac{1}{2}]$

⇏ $\sf 160 \times 45$

⇏ ${\sf{\underline{\boxed{\green{\sf{7200 \: J}}}}}}$

Therefore, 7200 Joule is the Work done.