Final answer:
The mass of a truck that produces a force of 14,000 Newtons while accelerating at 5 m/s² is calculated using the formula F=ma, resulting in a mass of 2800 kilograms.
Step-by-step explanation:
To calculate the mass of a truck that produces a force of 14,000 Newtons while it's accelerating at a rate of 5 m/s2, we can use Newton's second law of motion, which states that the force applied on an object is equal to the mass of the object multiplied by its acceleration (F = ma). Therefore, to find the mass (m), we can rearrange this equation to m = F/a.
Using the values given:
- Force (F) = 14,000 N
- Acceleration (a) = 5 m/s2
We can then calculate the mass (m) as follows:
m = F/a
m = 14,000 N / 5 m/s2
m = 2800 kg
Therefore, the truck has a mass of 2800 kilograms.