In a movie, Tarzan evades his captors by hiding under water for many minutes while breathing through a long, thin reed. Assume t

Response:

0.60 m/s

Details:

The average speed between times t = a and t = b can be expressed as:

v_avg = (x(b) − x(a)) / (b − a)

Given the function x(t) = 0.36t² − 1.20t, and considering the interval from 1.0 to 4.0:

v_avg = (x(4.0) − x(1.0)) / (4.0 − 1.0)

v_avg = [(0.36(4.0)² − 1.20(4.0)) − (0.36(1.0)² − 1.20(1.0))] / 3.0

v_avg = [(5.76 − 4.8) − (0.36 − 1.20)] / 3.0

v_avg = [0.96 − (-0.84)] / 3.0

v_avg = 0.60

The average speed calculated is 0.60 m/s.

Answer:

Explanation:

By applying the Law of Sines,

Based on Newton's Law,

And the final equation also derived from Newton's Law,

Then by consolidating all the equations together,

Thus,

Let T be the force exerted on the rope by her. This force induces tension in the rope, which exerts an upward force on the crates, while the weight of the crate pulls downward. Thus, the net force acting on the crate can be expressed as mg - T, acting in the downward direction. According to Newton's law, we can set up the equation: mg - T = ma. Given that a = 0 (the speed remains constant), this simplifies our equation to mg - T = 0, which leads to T = mg. Therefore, T = 25 x 9.8 = 245 N, indicating that the force she needs to apply is 245 N.

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Answer:

1. Reactions involving oxidation and reduction along with proton pumping

2. Reactions involving phosphorylation and proton pumping

Explanation:

During oxidative phosphorylation, there is a transfer of electrons from donors to acceptors, which constitutes a redox reaction.

These redox reactions liberate energy that is utilized to produce ATP. In eukaryotic cells, these reactions are performed by protein complexes found in the mitochondria, while in prokaryotic cells, the proteins are positioned in the intermembrane space of the cells. These interconnected protein complexes are referred to as electron transport chains.