Question

What is the work to be done to increase the velocity of a car from 30m/s to 60m/s if the mass of the car is 1500kg.​

Answer 1

$\;\;\underline{\textbf{\textsf{ Given:-}}}$

•Initial velocity, u = 30 m/s

•Final velocity , v = 60 m/s

•Mass of Car, M = 1500 Kg

$\;\;\underline{\textbf{\textsf{ To Find :-}}}$

• Work done, W

$\;\;\underline{\textbf{\textsf{ Solution :-}}}$

$\underline{\:\textsf{As we know the formula :}}$

$\large\bigstar\: \underline{\boxed{\sf W = \dfrac{1}{2}\:M\: \bigg(v^2 - u^2\bigg)}}$

$(\bf Work \: energy \: theorem )$

$\underline{\:\textsf{Substituting the values :}}$

$\longrightarrow\sf W = \dfrac{1}{2}\times 1500\times \bigg({60}^2 - {30}^2\bigg)\\\\\\\longrightarrow\sf W = 750 \times \bigg(3600 - 900\bigg)\\\\\\\longrightarrow\sf W = 750 \times 2700 \\\\\\\longrightarrow\sf W = 2025000\\\\\\\longrightarrow\sf W = 2.025 \times 10^{6}$

$\longrightarrow\sf W =2.025 \times 10^{6} \: J \\\\\\\longrightarrow\large{\underline{\boxed{\green{\sf W = 2.025 \times 10^{6} \: J}}}}$

$\;\;\underline{\textbf{\textsf{ Hence-}}}$

$\underline{\textsf{The Work done (W) is \textbf{2025000 J}}}.$

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