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Can someone help me with this one? 6.17. Muscle shortening. In 1938 Av Hill proposed a mathematical model for the rate of shortening of a

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6.17. Muscle shortening. In 1938 Av Hill proposed a mathematical model for the rate of shortening of a muscle, v, (in cm/sec) when it is work- ing against a load p (in gms). His so called force-velocity curve is given by the relationship (pta)v= b(po -p) where a, b, po are positive constants. (a) Sketch the shortening velocity versus the load, i.e., v as a function of p. Note: the best way to do this is to find the intercepts of the two axes, i.e. find the value of v corresponding to p = 0 and vice versa. (b) Find the rate of change of the shortening velocity with respect to the load, i.e. calculate dv /dp. (c) What is the largest load for which the muscle contracts? (hint: a contracting muscle has a positive shortening velocity, whereas a muscle with a very heavy load stretches, rather than contracts, i.e. has a negative value of v)

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