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what’s the velocity of a bus travelling through a town with a mass of 5040 kg and kinetic energy of 493,900 j ?

1 Answer

2 votes

Answer:

The velocity of the bus is 14 m/s

Step-by-step explanation:

Kinetic energy is directly proportional to the mass of the object and to

the square of its velocity

→ K.E =
(1)/(2)mv², where K.E is the kinetic energy, m is the

mass, and v is the velocity

The unit of the kinetic energy is joule (j)

We need to find the velocity of a bus travelling through a town with a

mass of 5040 kg and kinetic energy of 493,900 j

→ K.E = 493900 j , m = 5040 kg

Substitute these values in the equation above

→ 493900 =
(1)/(2)(5040)v²

Multiply both sides by 2

→ 987800 = (5040)v²

Divide both sides by 5040

→ 196.00 = v²

Take √ for both sides

→ v = 14 m/s

The velocity of the bus is 14 m/s

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