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A car traveling at 15 m/s on level highway is brought to stop in 10 seconds by a braking force of 3000 N. What is the car's mass?

Sagot :

Original Equation:

Force = Mass × Acceleration
              where Force N = kg·m/s²   

Derive Mass formula:

Force/Acceleration = (Mass × Acceleration) / Acceleration

Mass = Force / Acceleration

Since Acceleration = Velocity/Time

Then:

Mass = Force / (Velocity/time)

Mass = (3,000 kg ·m/s²) /  [(15 m/s) ÷ 10 s]

Mass = (3,000 kg·m/s²) / (1.5 m/s²)

Mass = 2,000 kg.
      
ANSWER:  The car's mass is 2,000 kg.

CLICK the image below to view the complete solution and how the it progresses, i. e., how the units of measure are cancelled to reach the required unit for mass.

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