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If a flea can jump straight up to a height of 0.350 m, what is its initial speed as it leaves the ground?

User Iunfixit
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Answer:

To solve this problem, we can use the fact that the flea's initial kinetic energy is converted entirely into potential energy at the top of the jump. Using conservation of energy, we can set the initial kinetic energy equal to the potential energy at the maximum height:

(1/2)mv^2 = mgh

where m is the mass of the flea, v is its initial velocity, g is the acceleration due to gravity, and h is the maximum height of the jump.

We can solve for v:

v = sqrt(2gh)

where we substitute the given values:

v = sqrt(29.8 m/s^20.350 m) ≈ 2.65 m/s

So the flea's initial speed as it leaves the ground is approximately 2.65 m/s.

Step-by-step explanation:

User Velis
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