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How much net work is required to accelerate a 1000kg car from 20.0m/s to 30.0m/s?

a. 5000 J
b. 7500 J
c. 10000 J
d. 12500 J

User Hoytman
by
8.0k points

1 Answer

2 votes

Final answer:

The net work required to accelerate the car from 20.0 m/s to 30.0 m/s is 5000 J. Option A is correct.

Step-by-step explanation:

To calculate the net work required to accelerate the car, we can use the work-energy principle, which states that the change in kinetic energy is equal to the net work done on an object. The change in kinetic energy (ΔKE) can be calculated as:

ΔKE = 1/2 * m * (vf^2 - vi^2)

Where m is the mass of the car, vf is the final velocity, and vi is the initial velocity.

Plugging in the values:

ΔKE = 1/2 * 1000 kg * (30.0 m/s)^2 - 1/2 * 1000 kg * (20.0 m/s)^2 = 5000 J

Therefore, the net work required to accelerate the car from 20.0 m/s to 30.0 m/s is 5000 J.

User DirkLX
by
8.8k points

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