Question

A Nissan 350Z accelerates at 12.9 m/s^2 and has a force of 5,000 N. What is the mass of the car?

a) 387 kg
b) 620 kg
c) 64 kg
d) 3870 kg

Answer 1

The mass of the Nissan 350Z, which has a force of 5,000 N and accelerates at 12.9 m/s^2, is closest to 387 kg, as calculated by rearranging Newton's second law of motion.

Step-by-step explanation:

To find the mass of the Nissan 350Z that accelerates at 12.9 m/s2 with a force of 5,000 N, we use Newton's second law of motion, which states that force equals mass times acceleration (F = ma). which states that force equals mass times acceleration (F = ma). Rearranging the formula to solve for mass (m), we get m = F/a.

m = 5,000 N / 12.9 m/s2

Using this formula, we find that the mass (m) of the car is:

m = 5,000 N / 12.9 m/s2 = 387.6 kg

Therefore, the closest answer choice to the calculated mass is (a) 387 kg.