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 = [tex]\frac{1}{2}[/tex]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 = [tex]\frac{1}{2}[/tex](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