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Animal dynamics. An adult 68 $\mathrm{kg}$ cheetah can accelerate from rest to 20.1 $\mathrm{m} / \mathrm{s}(45 \mathrm{mph})$ in 2.0 $\mathrm{s}$ . Assuming constant acceleration, (a) find the net external force causing this acceleration. (b) Where does the force come from? That is, what exerts the force on the cheetah?

see solution.

Physics 101 Mechanics

Chapter 4

Newton's Laws of Motion

Physics Basics

Motion Along a Straight Line

Motion in 2d or 3d

Rutgers, The State University of New Jersey

University of Michigan - Ann Arbor

University of Washington

Hope College

Lectures

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all right. In this problem, we're looking at an adult cheetah that accelerates from rest to 20.1 meters per second in two seconds. So start off. I'm going to draw a cheetah, and this cheetah is starting at rest and then accelerating. Um, up. Thio, you've lost 20.1 meters per seconds in two seconds. Here's my faster cheetah. Might be up is 20.1 meters per seconds. In the time that this happens in is just two seconds, it's what she wants to first part of this problem for a is asking for me to find the net external force causing the acceleration of this cheetah. And we're assuming constant acceleration acceleration in this problem. And so the first up here is to find what my acceleration actually is because other I can find it from this information that they don't just tell it to you. So a My acceleration is equal to VF minus v. I divided by T BF is 20.1. The eye is zero minus zero over to which is the time which gives me an acceleration of 10.5 meters per second squared. And so using that acceleration. Now I'm trying to find what the Net force is that causes my cheetah tech salaries. And to find that out, I'm going to use Newton's second lot of equals, a mass times acceleration. And since I have the massive My Cheetah, it's given in the problem. Them was 68 kilograms. I can plug in my mass of 68 my acceleration of 10.5 and and up with a force of 683.4 Newtons. And so that is the force that's causing my cheated to accelerate in part B of this problem. Um, we're trying to find where that force comes from, and they say that is what exerts the force onto the Cheetah. Since everything that accelerates has to have a force applied onto it, we want to know what that force is coming from. And so the only thing that's cheetah is as touching is the ground, which seems a little weird to say. But the ground is actually pushing back on the cheetah Cheetah pushes on the ground with its legs, and the ground pushes back on the cheetah with this force that we found in part A, and that is what causes it to accelerate

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