Final answer:
The speed of the dump truck loaded with rocks is approximately 14.26 m/s.
Step-by-step explanation:
To calculate the speed of the dump truck, we need to use the formula for kinetic energy:
Kinetic energy (KE) = 0.5 * mass * speed^2
Given that the mass of the dump truck is 1.52 × 10^4 kg and the kinetic energy is 1.54 × 10^6 J, we can rearrange the formula to solve for speed:
Speed^2 = (2 * KE) / mass
Speed^2 = (2 * 1.54 × 10^6 J) / (1.52 × 10^4 kg)
Speed^2 = 203.2 m^2/s^2
Taking the square root of both sides, we get:
Speed = √203.2 m^2/s^2 ≈ 14.26 m/s
Therefore, the speed of the dump truck loaded with rocks is approximately 14.26 m/s.