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Ouch! Nerve impulses travel at different speeds, depending on the type of fiber through which they move. The impulses for touch travel at $76.2 \mathrm{m} / \mathrm{s},$ while those registering pain move at 0.610 $\mathrm{m} / \mathrm{s}$ . If a person stubs his toe, find (a) the time for each type of impulse to reach his brain, and (b) the time delay between the pain and touch impulses. Assume that his brain is 1.85 m from his toe and that the impulses travel directly from toe to brain.

a) 0.024 $\mathrm{s}$3.03 $\mathrm{s}$b) 3.009$s$

Physics 101 Mechanics

Chapter 2

Motion along a Straight Line

Physics Basics

Motion Along a Straight Line

Motion in 2d or 3d

Newton's Laws of Motion

Cornell University

University of Michigan - Ann Arbor

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Lectures

03:28

Newton's Laws of Motion are three physical laws that, laid the foundation for classical mechanics. They describe the relationship between a body and the forces acting upon it, and its motion in response to those forces. These three laws have been expressed in several ways, over nearly three centuries, and can be summarised as follows: In his 1687 "Philosophiæ Naturalis Principia Mathematica" ("Mathematical Principles of Natural Philosophy"), Isaac Newton set out three laws of motion. The first law defines the force F, the second law defines the mass m, and the third law defines the acceleration a. The first law states that if the net force acting upon a body is zero, its velocity will not change; the second law states that the acceleration of a body is proportional to the net force acting upon it, and the third law states that for every action there is an equal and opposite reaction.

04:16

In mathematics, a proof is a sequence of statements given to explain how a conclusion is derived from premises known or assumed to be true. The proof attempts to demonstrate that the conclusion is a logical consequence of the premises, and is one of the most important goals of mathematics.

02:39

Ouch! Nerve impulses trave…

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Nerve impulses travel at d…

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The speed of a nerve impul…

0:00

00:34

01:02

Impulses in nerve fibers t…

01:37

$\cdot$ BIO Nerve Impulses…

01:56

BIO Human Nerve Fibers Typ…

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12. The speed of propagati…

04:10

The reflex that pulls your…

03:49

Nerve Impulse Propagation …

00:30

Suppose nerve impulses tra…

so here of a nerve length of 1.85 meters and we can say that for part a thief velocity equals 76.2 meters per second. This is specifically for touch. So if we wanted to find the time, we can say time equals the distance of out of either velocity. So 1.85 divided by 76.2. And this is approximately 0.243 seconds now, for the other answer for the velocity is 0.6 10 meters per second. And this is specifically for pain. So we can say he's going to be deltas deeded the displacement over V with a distance over velocity. And this will be 1.85 once again divided by 0.610 And this is taking 3.3 seconds approximately. So we can say for part B, Delta T is simply going to be 3.3 seconds minus 0.2 for three seconds and we find that our answer for Delta T for Part B is going to be 3.57 seconds. This would be our final answer. That is the end of the solution. Thank you for watching

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