Final answer:
The crate will accelerate at 16.67 meters per second squared when a force of 10000 N is applied to it.
Step-by-step explanation:
You asked how fast a 600 kg crate will accelerate when lifted by a cable that applies a force of 10000 N. To find the acceleration, we can use Newton's second law of motion, which states that the force acting on an object is equal to the mass of the object multiplied by its acceleration (F = ma). To find the acceleration (a), we rearrange the formula to a = F/m.
Therefore, the acceleration of the crate is calculated as:
a = F/m = 10000 N / 600 kg = 16.67 m/s².
The crate will accelerate at 16.67 meters per second squared when a force of 10000 N is applied to it.