After the container ship has been loaded with cargo, it has a mass of 122,365,990 kg. The same tugboat then pushes on the container ship to help it leave. With what force would the tugboat have to push the loaded container ship to give it the same acceleration it had when it arrived empty at the port?

To determine the force a tugboat must exert on a loaded container ship, use Newton's second law: F = m · a. Assuming an acceleration of 0.5 m/s², the required force would be around 61,182,995 N. This calculation provides the force necessary to achieve the same acceleration as when the ship was empty.

Explanation:

Calculating the Force Required by the Tugboat

To find the force exerted by the tugboat on the loaded container ship, we need to use Newton's second law of motion: F = m · a, where F is force, m is mass, and a is acceleration.

The loaded mass of the container ship is given as 122,365,990 kg. To determine the force the tugboat must apply, we first need to know the acceleration it had when arriving at port when empty. Let's assume that this acceleration is 0.5 m/s² (you will need to replace this value with the actual acceleration if it is different).

Using Newton's second law:

Calculate the required force:
F = m · a
F = 122,365,990 kg · 0.5 m/s²
F = 61,182,995 N

This means the tugboat would need to apply a force of approximately 61,182,995 newtons to give the loaded container ship the same acceleration it had when it arrived at port.

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