Question

A car expends energy of 30,000 J while moving at a constant speed of 10 m/s. What is the mass of the car?​

Answer 1

☯ Mass of car = 600 kg

Given ,

• Kinetic energy = 30000 J
• Speed of body = 10 m/s

We need to find ,

• Mass of car

As we know that ,

• K.E = 1/2 mv²

So ,

⇒ 30000 = 1/2 × m × (10)²

⇒ 30000 × 2 = 100 × m

⇒ 60000 ÷ 100 = m

⇒ Mass = 600 kg

Hence , mass of car = 600 kg

Answer 2

Given :-

☯︎  Kinetic Energy = 30000 J

☯︎ Speed of the Car = 10 m/s

To Find :-

☯︎ Mass of the Car

Solution :-

☯︎ As we know that ,

$\sf Kinetic\;Energy\;=\dfrac{1}{2} \times m \times v^{2}$

Where ,

m = Mass of the Car

v = Speed of the Car

☯︎ Let's find out the Mass of the car

$\sf \implies 30,000\;J = \dfrac{1}{2} \times m \times 10^{2}$

$\sf \implies 30,000 J = \dfrac{1}{2} \times m \times 100$

$\sf \implies 30,000 \; J = 50\;m$

$\sf \implies m = \dfrac{30,000}{50}$

$\sf \implies m = 600 \;kg$

∴ Mass of the car is 600 kg

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All Done ! :D