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3 months ago

7

A kinesin that is transporting a secretory vesicle uses approximately 80 ATP molecules/s. Each ATP provides a kinesin molecule w

ith an energy of about 0.8 × 10-19 J. If the velocity of the kinesin is 800 nm/s, can you determine the force the kinesin is exerting, if you assume that all the ATP energy is used (100% efficiency)? If you can, find it and give your answer in newtons. If not, answer with 0.

1 answer:

inna [3.1K]3 months ago

7 0

Answer:

The force is $F = 8*10^{-12} \ N$

Explanation:

According to the inquiry, we understand that

The rate at which ATP molecules are utilized is $R = 80 ATP/ s$

The energy yielded by a single ATP molecule is $E_{ATP} = 0.8 * 10^{-19} J$

The kinesin's velocity is $v = 800 nm/s = 800*10^{-9} m/s$

The power generated by the ATP in one second can be expressed mathematically as

$P = E_{ATP} * R$

After substituting the values

$P = 80 * 0.8*10^{-19 }$

$P = 6.4 *10^{-18}J/s$

Now this power can be represented mathematically as

$P = F * v$

Where F indicates the force exerted by the kinesin

Therefore

$F = \frac{P}{v}$

after substituting input values

$F = \frac{6.4*0^{-18}}{800 *10^{-9}}$

$F = 8*10^{-12} \ N$

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