A 5.50 kg cat leaps from the floor to the top of a 94.0-cm-high table. If the cat pushes against the floor for 0.220 s to accomplish this feat, what was her average power output during the pushoff period?

Energy required = (pushoff time) * (power)

Get the energy required from the potential energy change.

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To calculate the average power output of the cat during the pushoff period, we need to use the power formula:

Average Power = Work Done / Time

To find the work done by the cat, we can use the equation:

Work = Force x Distance

First, we need to find the force exerted by the cat during the pushoff. We can calculate it using Newton's second law:

Force = Mass x Acceleration

Since the cat pushes against the floor and moves vertically upwards, the acceleration due to gravity is acting in the opposite direction. Therefore, the net force required to overcome gravity is:

Force = Mass x (Acceleration due to gravity)

Now, we plug in the values:

Force = 5.50 kg x (9.8 m/s^2) (acceleration due to gravity)
= 53.9 N

Next, we need to calculate the distance the cat traveled during the pushoff. This is the height of the table, which is given as 94.0 cm (or 0.94 m).

Now we have all the necessary values to calculate the work done:

Work = Force x Distance
= 53.9 N x 0.94 m
= 50.666 J

Finally, we can calculate the average power:

Average Power = Work Done / Time
= 50.666 J / 0.220 s
= 230.3 W

Therefore, the cat's average power output during the pushoff period is approximately 230.3 watts.