/*! 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} Q. 54 You are at a train station, stan... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 2: Q. 54 (page 62)

You are at a train station, standing next to the train at the front of the first car. The train starts moving with constant acceleration, and 5.0 s later the back of the first car passes you. How long does it take after the train starts moving until the back of the seventh car passes you? All cars are the same length.

Short Answer

Expert verified

It will take 13.23sto pass the back of the seventh car.

Step by step solution

01

Given information

Each car takes time t=5sto pass.

Consider each car has a length of localid="1649230189524" l(m).

Initial speed of the car,u=0

02

Finding the length of the 7 cars

The distance travelled by a car lcan be determined by following the equation s=ut+12at2as,

localid="1649230197418" l=0+12at2l=12a脳52l=12.5a

Therefore, acceleration of each car is, a=l12.5m/s2.

Now, length of total seven cars can be determined as,

localid="1649230201861" S=7l=0+12at'2

03

Determination of time

The time taken by the seventh car to pass a person is can be obtained from the equation

7l=12t'2脳l12.5t'2=12.5脳2脳7t'=12.5脳2脳7t'=13.23s

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

FIGURE Q2.8 shows six frames from the motion diagrams of two moving cars, A and B.

a. Do the two cars ever have the same position at one instant of time? If so, in which frame number (or numbers)?

b. Do the two cars ever have the same velocity at one instant of time? If so, between which two frames?

Careful measurements have been made of Olympic sprinters

in the 100 meter dash. A quite realistic model is that the sprinter鈥檚

velocity is given by

vx=a(1-e-bt)

where t is in s, vx is in m/s, and the constants a and b are characteristic

of the sprinter. Sprinter Carl Lewis鈥檚 run at the 1987

World Championships is modeled with a = 11.81 m/s and

b = 0.6887 s-1.

a. What was Lewis鈥檚 acceleration at t = 0 s, 2.00 s, and 4.00 s?

b. Find an expression for the distance traveled at time t.

c. Your expression from part b is a transcendental equation,

meaning that you can鈥檛 solve it for t. However, it鈥檚 not hard to

use trial and error to find the time needed to travel a specific

distance. To the nearest 0.01 s, find the time Lewis needed to

sprint 100.0 m. His official time was 0.01 s more than your

answer, showing that this model is very good, but not perfect.

A very slippery block of ice slides down a smooth ramp tilted at angle u. The ice is released from rest at vertical height h above the bottom of the ramp. Find an expression for the speed of the ice at the bottom

For Questions 1 through 3, interpret the position graph given in each

figure by writing a very short 鈥渟tory鈥� of what is happening. Be creative!

Have characters and situations! Simply saying that 鈥渁 car moves

100 meters to the right鈥� doesn鈥檛 qualify as a story. Your stories should

make specific reference to information you obtain from the graph, such

as distance moved or time elapsed.

FIGURE EX2.31 shows the acceleration-versus-time graph of a particle moving along the x-axis. Its initial velocity is v0x = 8.0 m/s at t0 = 0 s. What is the particle鈥檚 velocity at t = 4.0 s?
See all solutions

Recommended explanations on Physics Textbooks

Rotational Dynamics

Read Explanation

Engineering Physics

Read Explanation

Kinematics Physics

Read Explanation

Modern Physics

Read Explanation

Geometrical and Physical Optics

Read Explanation

Circular Motion and Gravitation

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.