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A car with a mass of 1000.0 kg accelerates from 0 to 90.0 km/h in 10.0 s. What is its acceleration and net force on the car?

a) Acceleration = 2.5 m/s², Net force = 2500 N
b) Acceleration = 3.0 m/s², Net force = 3000 N
c) Acceleration = 3.5 m/s², Net force = 3500 N
d) Acceleration = 4.0 m/s², Net force = 4000 N

User Josesuero
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1 Answer

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Final answer:

The acceleration of the car is 2.5 m/s² and the net force on the car is 2500 N.

Step-by-step explanation:

To find the acceleration of the car, we first need to convert the initial and final velocities from kilometers per hour to meters per second. We do this by dividing the values by 3.6. The initial velocity is 0 m/s and the final velocity is (90.0 km/h ÷ 3.6) 25.0 m/s.

The time taken is 10.0 s. To find the acceleration, we use the equation a = (Vf - Vi) / t, where Vf is the final velocity, Vi is the initial velocity, and t is the time taken. Substituting the values, we get a = (25.0 m/s - 0 m/s) / 10.0 s. This gives us an acceleration of 2.5 m/s².

To find the net force on the car, we can use Newton's second law, which states that the net force is equal to mass times acceleration (F = m * a). The mass of the car is given as 1000.0 kg and the acceleration is 2.5 m/s². Substituting the values, we get F = 1000.0 kg * 2.5 m/s². This gives us a net force of 2500 N.

User Chelofm
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