Answer:
Mass of bike = 38 kg.
Explanation:
Kinetic energy is given by the expression, [tex]KE = \frac{1}{2} mv^2[/tex], where m is the mass and v is the velocity.
Here speed of child riding bike = 6 m/s
Mass of child = 30 kg
Total kinetic energy = 1224 J
Let the mass of bike be, m kg
So, total mass of child and bike = (m + 30) kg
Substituting,
[tex]1224 = \frac{1}{2}* (m+30)*6^2\\ \\ m+30=68\\ \\ m=38kg[/tex]
So, mass of bike = 38 kg.