Answer:
Factor of 2.08
Step-by-step explanation:
Kinetic energy of defined as the energy possessed by a body by virtue of its motion. It is a function of tge velocity and mass of the object. Mathematically,
Kinetic energy = 1/2MV²
Where m is the mass of the object
V is the velocity
Taking m1 and m2 as the mass of the object
u1 and u2 is the velocities of the objects
The kinetic energy of the 0.5kg car moving with velocity 0.3m/s is
1/2 × 0.5 × 0.3²
= 0.0225Joules
The kinetic energy of the 0.3kg toy car moving with velocity 0m/s (since it is stationary) is;
1/2×0.3×0²
= 0Joules
Total kinetic energy of the bodies before collision = 0.0225+0 = 0.0225Joules.
Their kinetic energy after collision can be gotten using the formula;
KE = 1/2(m1+m2)v² where v is their common velocity
KE = 1/2(0.5+0.3)× 0.18²
KE = 1/2×0.8×0.18²
KE = 0.0108Joules
The ratio of the initial kinetic energy to the final kinetic energy will be 0.0225/0.0108 = 2.08
(KE)initial/(KE)final = 2.08
(KE)initial = 2.08(KE)final
This means the initial kinetic energy is greater than the final kinetic energy by a factor of 2.08