Final answer:
Calculating the power output of an engine lifting a hammer involves finding the work done (mass multiplied by gravity and distance) and dividing it by time. The resulting power output of 7827 W for a 190 kg hammer lifted 25 m in 5.95 s is not among the answer choices given.
Step-by-step explanation:
The power delivered by an engine that lifts a 190 kg hammer 25 m in 5.95 s can be calculated using the formula for power, P = W/t, where W is the work done and t is the time taken.
First, we calculate the work done (W) as the product of the force and the distance lifted. The force is equal to the weight of the hammer, which is the mass (m) times the acceleration due to gravity (g), thus F = m × g. The work done, therefore, is W = F × d = m × g × d, where d is the distance.
Replacing the values we get, W = 190 kg × 9.81 m/s² × 25 m, which calculates to a work of 46547.5 joules. Now, to find the power, we divide the work done by the time:
P = W/t = 46547.5 J / 5.95 s, resulting in approximately 7827 W.
This value is not listed in the given options, which suggests there might be a typo in the question or the answer choices provided.