Calculating Velocity of a Motorbike
How can we calculate the speed of the motorbike after work is performed?
The work done by the engine is converted into kinetic energy of the motorbike+rider system:
Energy (E) = 6400 J
Mass (m) = 200 Kg
Velocity (v) = ?
Answer:
The speed of the bike after the work is performed is 8 m/s
The speed of the bike can be calculated using the formula:
E = ½mv²
6400 = ½ × 200 × v²
6400 = 100 × v²
Divide both sides by 100
v² = 6400 / 100
v² = 64
Take the square root of both sides
v = √64
Therefore, the speed of the motorbike after the work is performed is 8 m/s.