Final answer:
The distance traveled by the carriage pulled by a horse, which applied 450 N of force to do 89 kJ of work, is 197.78 meters. The calculation is based on the work-energy principle without the need to consider the angle of force application.
Step-by-step explanation:
The question deals with a horse pulling a carriage and requires calculating the distance traveled given the force applied by the horse and the work done. To find the distance (d), we can use the formula for work (W), which is the product of force (F) and distance (W = Fd). Assuming the force is applied in the direction of motion, the work done can be calculated without the need to consider the angle of force application.
The work done by the horse is given as 89 kJ, which is equivalent to 89000 J (since 1 kJ = 1000 J). The force applied by the horse is 450 N. We can rearrange the work formula to find the distance:
W = Fd
d = W / F
d = 89000 J / 450 N
d = 197.78 meters
Therefore, the distance traveled by the carriage is 197.78 meters.