Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

$$\begin{array}{l}{\text { (II) Uphill escape ramps are sometimes provided to the }} \\ {\text { side of steep downhill highways for trucks with overheated }} \\ {\text { brakes. For a simple } 11^{\circ} \text { upward ramp, what length would be }} \\ {\text { needed for a runaway truck traveling } 140 \mathrm{km} / \mathrm{h} \text { ? Note the }}\end{array}$$ $$\begin{array}{l}{\text { large size of your calculated length. (If sand is used for the bed }} \\ {\text { of the ramp, its length can be reduced by a factor of about } 2 .}\end{array}$$

Get the answer to your homework problem.

Try Numerade free for 7 days

Like

Report

$4.0 \times 10^{2} \mathrm{m}$

Physics 101 Mechanics

Chapter 4

Dynamics: Newton's Laws of Motion

Motion Along a Straight Line

Motion in 2d or 3d

Newton's Laws of Motion

Applying Newton's Laws

Moment, Impulse, and Collisions

Cornell University

Rutgers, The State University of New Jersey

McMaster University

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.

04:30

In classical mechanics, impulse is the integral of a force, F, over the time interval, t, for which it acts. In the case of a constant force, the resulting change in momentum is equal to the force itself, and the impulse is the change in momentum divided by the time during which the force acts. Impulse applied to an object produces an equivalent force to that of the object's mass multiplied by its velocity. In an inertial reference frame, an object that has no net force on it will continue at a constant velocity forever. In classical mechanics, the change in an object's motion, due to a force applied, is called its acceleration. The SI unit of measure for impulse is the newton second.

03:27

(II) Uphill escape ramps a…

03:32

05:15

Uphill escape ramps are so…

04:21

In designing a highway, a …

01:48

On mountainous downhill ro…

06:49

As a highway engineer, you…

04:59

03:48

Steep safety ramps are bui…

So let's draw the incline. This would be Fada that this would be our truck going straight down would be mg perpendicular to the surface of contact would be our normal force. And we can say that for a simple ramp Ah, the decelerating force would be the component of gravity that is along the ramp in the opposite direction of the initial velocity. So we can say that some of forces in the ex direction would be equal to negative mg sign of data and this would equal m a. We know that EMS air going to cancel out. Therefore, the acceleration would simply be able to negative g sign Maceda. Now we can say that Delta acts is gonna be equal to the final squared minus V initial squared, divided by two a. So this would be equal to of the and rather negative. The initial squared divided by two times negative g sign of fada and this is equaling the initial squared divided by to G sign of fada. So this is the required ramp length and now we can solve Delta X would then be equal thio 140 kilometers per hour for every one meter per second. There are 3.6 kilometers per hour. This entire term would be squared and then this would be divided by two times 9.8 times sign of 11 degrees and this would be needed. The unity would be meters per second squared. Therefore, the required Rampling would be approximately 4.0 times 10 to the second meters. That is the end of the solution. Thank you for watching.

View More Answers From This Book

Find Another Textbook

Numerade Educator

01:46

A. Analyze each itern and encircle the word which does NOT belong to the gro…

02:10

In which phase of matter are the particles the most compact

02:21

what are the different theories that explain the origin of the universe? in …

01:34

is volcanic eruption result of plate mountains? justify your answer.PLS ANSW…

03:35

Identify the property of each material that allows them to be reused 1. …

01:10

In the Olympic 200 m race, is it possible for the runner with the greatest

02:27

Give me 5 example of each property of solid. Malleable 1.2.3…

01:06

1. It is the science that deals with matter and energy and the interactions …

01:59

Illustrate and explain the process of rock cycle and why do we need to prote…

03:24

3 What will be the costs of the enterprise products and other cous of doing …