Calculating power output of a car

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To calculate the power output of a 1200kg car accelerating from 25 km/hr to 100 km/hr in 12 seconds, the change in kinetic energy is determined, leading to a power output of approximately 24.44 kW. For the skiing scenario, the potential energy at the top of a 300ft slope is converted to kinetic energy at the bottom, with the skier's speed of 60 ft/sec indicating that about 78% of the initial potential energy was dissipated. Both calculations involve fundamental physics principles, including energy conservation and the work-energy theorem. The discussions emphasize the importance of understanding energy transformations in different contexts. These calculations illustrate practical applications of physics in real-world scenarios.
cherrydeee
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1.)what is the power output of a 1200kg car that can go from 25 km/hr to 100 km/hr in 12 secs. Neglecting air resistance and rolling friction.

2.)a woman skis down a slope 300ft high. her speed at the foot of the slope is 60 ft/sec. what percentage of her initial potential energy was dissipated?
 
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cmon show how you attempted the problem.
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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