A100 kg woman rode her 200 kg motorcycle in the race. she started from rest and at the end of the race she was moving at 15 m/s. what is the change in kinetic energy for both the woman and her motorcycle? pls show your

The change in kinetic energy was 34 kJ.

Step 1. Calculate the total mass

Total mass = 100 kg + 200 kg = 300 kg

Step 2. Calculate the initial kinetic energy (KE_i)

v = 0

KE_i = ½ mv^2 = ½ × 300 kg × 0^2 = 0

Step 3. Calculate the final kinetic energy (KE_f)

KE_f = ½ mv^2 = ½ × 300 kg × [15 m·s^(-1)]^2 = 34 000 kg·m^2s^(-2) = 34 000 J = 34 kJ

Step 4. Calculate the change in kinetic energy

ΔKE = KE_f - KE_i = 34 kJ – 0 = 34 kJ