Question

The basis of muscle action is the power stroke of the myosin protein pulling on an actin filament. it takes the energy of one molecule of atp, 5.1×10−20j , to produce a displacement of 26 nm against a force of 1.0 pn . what is the efficiency

a) 0.05%
b) 5.0%
c) 10%
d) 20%

Answer 1

The efficiency of the muscle action, given a displacement of 26 nm against a 1.0 pN force with an ATP energy of 5.1 x 10^-20 J, is calculated to be approximately 51%, which is not among the provided options.

Step-by-step explanation:

The efficiency of the muscle action can be calculated by comparing the work done against the force to the energy supplied by ATP. We are given that the displacement is 26 nm (or 26 x 10-9 m) and the force is 1.0 pN (or 1.0 x 10-12 N). The work done (W) against the force is calculated as W = force x displacement. Therefore, work done is 1.0 x 10-12 N x 26 x 10-9 m = 2.6 x 10-20 J.

To find efficiency, we use the formula Efficiency = (Useful Work Output / Energy Input) x 100%. The energy input from one molecule of ATP is 5.1 x 10-20 J. Using the formula, Efficiency = (2.6 x 10-20 J / 5.1 x 10-20 J) x 100% = 50.98%, which we round to 51%. Hence, the correct answer is not listed among the options provided.