Question

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

Answer 1

Answer:

The velocity of the bus is 14 m/s

Explanation:

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

the square of its velocity

→ K.E = $\frac{1}{2}$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 = $\frac{1}{2}$(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