Final answer:
The motorbike's velocity to match the truck's kinetic energy can be found by using the kinetic energy formula and equating the kinetic energy of both vehicles. After solving for the motorbike's velocity, we obtain the required speed for the motorbike.
Step-by-step explanation:
To find out how fast thebmust travel to have the same kinetc energy as a 1650-kg truck traveling at 23.0 m/s, we will use the kinetic energy formula KE = 1/2 × m × v^2, where KE is the kinetic energy, m is the mass, and v is the velocity.
First, we calculate the kinetic energy of the truck:
KE(truck) = 1/2 × 1650 kg × (23.0 m/s)^2
Next, we set the kinetic energy of the truck equal to the kinetic energy of the motorbike and solve for the motorbike's velocity:
KE(motorbike) = KE(truck)
1/2 × 91.0 kg × v^2 = 1/2 × 1650 kg × (23.0 m/s)^2
Canceling the 1/2 from both sides and solving for v gives:
v^2 = (1650 kg × (23.0 m/s)^2) / 91.0 kg
v = √((1650 kg × (23.0 m/s)^2) / 91.0 kg)
After calculating this, you will get the velocity required for the motorbike to have the same kinetic energy as the truck.