Question

A crane pulls a truck having a mass of 3000kg to a veetical height of 7 metres. Calculate the work done by crane.(g=10m/s^2)

Answer 1

$\huge\underline{\underline{\bf \orange{Question-}}}$

A crane pulls a truck having a mass of 3000kg to a veetical height of 7 metres. Calculate the work done by crane.(g=10m/s²)

$\huge\underline{\underline{\bf \orange{Solution-}}}$

$\large\underline{\underline{\sf Given:}}$

• Mass (m) = 3000 Kg
• Vertical Height (s) = 7 m
• g = 10m/s²

$\large\underline{\underline{\sf To\:Find:}}$

• Work done (W)

$\large{\rm We \: know \: that -}$

✪$\large{\boxed{\bf \blue{Work(W)= F.ds }}}$

➝ s = Displacement = 7m

➝ F = Force

$\large{\boxed{\bf \blue{F = mg}}}$

$\implies{\sf F = 3000×9.8}$

$\implies{\sf F = 29400N}$

➝$\large{\bf Work (W) = F.ds}$

$\implies{\sf W = 29400 × 7}$

$\implies{\sf W = 205800J}$

$\implies{\bf \red {Work\:Done=205.8kJ}}$

$\huge\underline{\underline{\bf \orange{Answer-}}}$

Work done by crane is ${\bf \red{205.8kJ}}$.