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The net force on a vehicle that is accelerating at a rate of 1.5 meters per second squared is 1,800 Newtons. What is the mass of the vehicle to the nearest kilogram?

User Emcell
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Final answer:

The mass of the vehicle is 1200 kilograms, calculated by dividing the net force (1800 Newtons) by the acceleration (1.5 m/s²), following Newton's second law of motion (F = ma).

Step-by-step explanation:

The student is asking how to find the mass of a vehicle when given the net force and the acceleration. According to Newton's second law of motion, the net force (F) applied to an object is equal to the mass (m) of the object multiplied by its acceleration (a), which is summarized by the equation F = ma. To find the mass of the vehicle, we rearrange this equation to m = F/a. Given the net force is 1800 Newtons and the acceleration is 1.5 meters per second squared, we can calculate the mass of the vehicle as follows:

m = F / a

m = 1800 N / 1.5 m/s²

m = 1200 kg

Therefore, the mass of the vehicle is 1200 kilograms (to the nearest kilogram).

User Enreas
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