Final answer:
The power delivered by an engine that lifts a 190 kg hammer 25 m in 5.9 s is approximately 7902.5 watts or 7.9 kilowatts, calculated using the formula Power = Work / Time with Work = mass * gravity * height.
Step-by-step explanation:
To calculate the power delivered by an engine that lifts a 190 kg hammer 25 m in 5.9 s, we can use the formula for power in the context of mechanical work:
Power (P) = Work (W) / Time (t)
Where Work (W) is given by the product of the force and the displacement in the direction of the force. For lifting an object vertically, this is equal to the weight of the object (mass times the acceleration due to gravity) multiplied by the height it is lifted:
W = m * g * h
Here, m is the mass of the hammer (190 kg), g is the acceleration due to gravity (approximately 9.81 m/s2), and h is the height (25 m). Let's calculate the work done:
W = 190 kg * 9.81 m/s2 * 25 m = 46647.5 J
Now, we can calculate the power:
P = 46647.5 J / 5.9 s ≈ 7902.5 W
Therefore, the power delivered by the engine is approximately 7902.5 watts or about 7.9 kilowatts.