Question

Calculate the work done by a car of mass 650 kg so as to increase its velocity from 18 kilometre to 36 kilometre per hour

Answer 1

$\Huge{\underline{\underline{\blue{\mathfrak{Answer :}}}}}$

Given :

• Mass = 650 kg
• Initial Velocity (u) = 18 km/h
• Final Velocity (v) = 36 km/h

$\rule{200}{2}$

To Find :

Work Done by the Car.

$\rule{200}{2}$

Solution :

Convert Velocity in m/s multiply it by 5/18

↪Initial Velocity (u) = 18 * 5/18 => 5 m/s

↪Final Velocity (v) = 36* 5/18 => 18 m/s

$\rule{100}{2}$

We have formula

$\implies {\underline{\boxed{\red{\huge{\sf{Work \: = \: \frac{1}{2} \: mv^{2}}}}}}}$

As we know that,

Velocity = Final velocity - initial velocity

[Putting Values]

⇒ W = ½ * (650)(10 - 5)

⇒W = ½ * (650)(5)

⇒W = ½ * (3250)

⇒W = 1625

$\Large{\boxed{\red{\sf{Work \: = \: 1625 \: J}}}}$

$\rule{200}{2}$

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