Question

ruck of mass 5 metric ton is moving with velocity 144 km/hr. Calculate the kinetic energy possessed by it.​

Answer 1

Given :-

• Mass (m) = 5 ton
• Velocity (v) = 144 km/hr

To Find :-

• The kinetic energy possessed by it.

Solution :-

First ton convert into kg.

⟶ Mass = 5 ton

⟶ Mass = 5 × 1000

⟶ Mass (m) = 5000 kg

Now km/hr convert into m/s.

⟶ Velocity = 144 km/hr

⟶ Velocity = 144 × 5/18

⟶ Velocity = 8 × 5

⟶ Velocity (v) = 40 m/s

As we know that,

$\blue{\bold{K.E = \frac{1}{2} mv^2}}$ $\red\bigstar$

Here,

• K.E = Kinetic energy
• m = Mass
• v = Velocity

Units,

• K.E = Joule, J
• m = kilogram, kg
• v = m/s

[ Substitute the values in the formula ]

⟶ K.E = ¹/2 × 5000 × (40)²

⟶ K.E = 2500 × 1600

⟶ K.E = 4000000 J $\green\bigstar$

Therefore,

The kinetic energy possessed by it is 4000000 Joules.

Answer 2

$\blue\bigstar$Given:-

•Mass (m)=5 ton

•Velocity(v)=144km/hr

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$\pink\bigstar$ To Find out :-

•Kinetic energy (K.E) possessed by Truck

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$\red\bigstar$ Unit conversion:-

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•Converting mass into kg form tones

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We know that 1 ton =1000kg

↬5 ton =5×1000 kg

↬Mass=5000 kg

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•Converting velocity into m/s from km/hr

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↬Velocity(v) =144km/hr

↬Velocity(v)=144×5/18 m/s

↬Velocity(v)=8×5=40m/s

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$\green\bigstar$Calculation:-

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⇛We know that K.E=1/2 mv²

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ =1/2×5000×40×40 J

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ =2500×1600 J

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀=4000000J

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Therefore , Kinetic energy possessed by truck is 4000000 J ★

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