Sachi wants to throw a water balloon to knock over a target and win a prize. The target will only fall over if it is hit with a
2 answers:
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- The largest increase in potential energy occurs when the charge is moving north. This is because the charge is negative, so it acquires potential energy when moving in the same direction of the field (viceversa, a positive charge when moving in the direction of the field it loses potential energy converting it into kinetic energy). The amount of potential energy gained is equal to the product of the charge and the distance covered:
- The second largest increase is when the charge is moving east. In this case, actually, the variation of potential energy is zero. This is because the charge is moving perpendicular to the field, and so it is moving along points with same potential. Therefore, in this case the variation of potential energy is zero:
- Finally, when the charge is moving south, it loses potential energy. This is because it is moving against the electric field, and since it is a negative charge, in this direction it loses potential energy converting it into kinetic energy. Therefore, in this case:
- The second largest increase is when the charge is moving east. In this case, actually, the variation of potential energy is zero. This is because the charge is moving perpendicular to the field, and so it is moving along points with same potential. Therefore, in this case the variation of potential energy is zero:
- Finally, when the charge is moving south, it loses potential energy. This is because it is moving against the electric field, and since it is a negative charge, in this direction it loses potential energy converting it into kinetic energy. Therefore, in this case:
Answer:
The speed of the cat when it hits the ground is approximately 7.586 meters per second.
Explanation:
By Principle of Energy Conservation and Work-Energy Theorem, we have that initial potential gravitational energy of the cat (), in joules, is equal to the sum of the final translational kinetic energy (
), in joules, and work losses due to air resistance (
), in joules:
(1)
By definition of potential gravitational energy, translational kinetic energy and work, we expand the equation presented above:
(2)
Where:
- Mass of the cat, in kilograms.
- Gravitational acceleration, in meters per square second.
- Initial height of the cat, in meters.
- Final speed of the cat, in meters per second.
If we know that ,
,
and
, then the final speed of the cat is:
The speed of the cat when it hits the ground is approximately 7.586 meters per second.