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a spaceship in orbit has a kinetic energy of 3.1 TO (3.1 terajoules, or 3.1 x 10^12 J.) How much energy was required for the spaceship to accelerate from a starting speed of 0 m/s to its current speed

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Final answer:

The amount of energy required for the spaceship to accelerate from a starting speed of 0 m/s to its current speed can be found by subtracting the initial kinetic energy from the final kinetic energy.

Step-by-step explanation:

The amount of energy required for the spaceship to accelerate from a starting speed of 0 m/s to its current speed can be calculated by subtracting the initial kinetic energy from the final kinetic energy. The final kinetic energy of the spaceship is given as 3.1 x 10^12 J. We can determine the initial kinetic energy by using the equation

Einitial = Efinal - (change in potential energy)

From the given information in Example 13.6, we can find the change in potential energy as 3.32 x 10^10 J

Therefore, the initial kinetic energy is calculated as:

Einitial = 3.1 x 10^12 J - 3.32 x 10^10 J = 2.965 x 10^12 J.

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