/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 63 In the problems, please assume t... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 2: Problem 63

In the problems, please assume the free-fall acceleration $g=9.80 \mathrm{m} / \mathrm{s}^{2}$ unless a more precise value is given in the problem statement. Ignore air resistance. A car traveling at \(29 \mathrm{m} / \mathrm{s}(65 \mathrm{mi} / \mathrm{h})\) runs into a bridge abutment after the driver falls asleep at the wheel. (a) If the driver is wearing a seat belt and comes to rest within a 1.0 -m distance, what is his acceleration (assumed constant)? (b) A passenger who isn't wearing a seat belt is thrown into the windshield and comes to a stop in a distance of \(10.0 \mathrm{cm} .\) What is the acceleration of the passenger?

Short Answer

Expert verified
Based on the calculations, the driver's acceleration is -420.5 m/s虏, while the passenger's acceleration is -4205 m/s虏 as they come to a stop after the car crashes into a bridge.

Step by step solution

01

Calculate the driver's acceleration

First, we will plug in the values for the driver, with the stopping distance \(s=1.0\) m. Using the equation of motion, \(0^2 = 29^2 + 2a(1.0)\). Solving for the acceleration \(a\): \(a = \frac{0 - 29^2}{2(1.0)}\) \(a = \frac{-841}{2}\) \(a = -420.5 \, \mathrm{m/s^2}\) Thus the driver's acceleration is -420.5 m/s虏 (negative indicates deceleration).
02

Calculate the passenger's acceleration

Now, we will plug in the values for the passenger with the stopping distance \(s=0.1\) m. Using the equation of motion again, \(0^2 = 29^2 + 2a(0.1)\). Solving for the acceleration \(a\): \(a = \frac{0 - 29^2}{2(0.1)}\) \(a = \frac{-841}{0.2}\) \(a = -4205 \, \mathrm{m/s^2}\) The passenger's acceleration is -4205 m/s虏 (negative indicates deceleration).

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

A ball thrown by a pitcher on a women's softball team is timed at 65.0 mph. The distance from the pitching rubber to home plate is \(43.0 \mathrm{ft}\). In major league baseball the corresponding distance is \(60.5 \mathrm{ft}\). If the batter in the softball game and the batter in the baseball game are to have equal times to react to the pitch, with what speed must the baseball be thrown? Assume the ball travels with a constant velocity. [Hint: There is no need to convert units; set up a ratio.]
You are driving your car along a country road at a speed of $27.0 \mathrm{m} / \mathrm{s} .$ As you come over the crest of a hill, you notice a farm tractor \(25.0 \mathrm{m}\) ahead of you on the road, moving in the same direction as you at a speed of \(10.0 \mathrm{m} / \mathrm{s} .\) You immediately slam on your brakes and slow down with a constant acceleration of magnitude $7.00 \mathrm{m} / \mathrm{s}^{2} .$ Will you hit the tractor before you stop? How far will you travel before you stop or collide with the tractor? If you stop, how far is the tractor in front of you when you finally stop?
A rocket engine can accelerate a rocket launched from rest vertically up with an acceleration of \(20.0 \mathrm{m} / \mathrm{s}^{2}\) However, after 50.0 s of flight the engine fails. (a) What is the rocket's altitude when the engine fails? (b) When does it reach its maximum height? (c) What is the maximum height reached? [Hint: A graphical solution may be easiest.] \((\mathrm{d})\) What is the velocity of the rocket just before it hits the ground?
Rita Jeptoo of Kenya was the first female finisher in the 110 th Boston Marathon. She ran the first \(10.0 \mathrm{km}\) in a time of $0.5689 \mathrm{h}$. Assume the race course to be along a straight line. (a) What was her average speed during the first \(10.0 \mathrm{km}\) segment of the race? (b) She completed the entire race, a distance of \(42.195 \mathrm{km},\) in a time of 2.3939 h. What was her average speed for the race?

An airtrack glider, \(8.0 \mathrm{cm}\) long, blocks light as it goes through a photocell gate. The glider is released from rest on a frictionless inclined track and the gate is positioned so that the glider has traveled \(96 \mathrm{cm}\) when it is in the middle of the gate. The timer gives a reading of 333 ms for the glider to pass through this gate. Friction is negligible. What is the acceleration (assumed constant) of the glider along the track? (IMAGE CANNOT COPY)
See all solutions

Recommended explanations on Physics Textbooks

Fundamentals of Physics

Read Explanation

Scientific Method Physics

Read Explanation

Magnetism

Read Explanation

Fluids

Read Explanation

Medical Physics

Read Explanation

Magnetism and Electromagnetic Induction

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.