/*! 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} Q56P A water hose is used to fill a l... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Q56P (page 97)

A water hose is used to fill a large cylindrical storage tank of diameter D and height 2D. The hose shoots the water at 45掳above the horizontal from the same level as the base of the tank and is a distance 6D away (Fig. P3.56). For what range of launch speeds(v0) will the water enter the tank? Ignore air resistance, and express your answer in terms of D and g.

Short Answer

Expert verified

The range of speed will be3gDand3.13gD.

Step by step solution

01

Introduction

The velocity contains two components, one is horizontal component and another one is vertical.

According to the newton鈥檚 laws of motion,

s=ut+12at2

Where, s, u, t, a, are displacement, initial velocity, time and acceleration.

02

Given

Angle =45掳

03

Explanation

For the vertical motion, gravity is negative

sv=uvtv-12gtv2

For the horizontal motion, gravity is zero

sH=uHtH

When the water goes in the with the minimum velocity,

sv=2D,sH=6D

When the water goes in the with the maximum velocity,

sv=2D,sH=7D

In both the cases,

sin45掳=cos45掳=1/2

To reach minimum distance,

2D=u2t-12gt2and6D=u2t2D=u262Du12g62Du2u=3gD

To reach maximum distance,

2D=u2t-12gt2and7D=u2t2D=u272Du-12g72Duu=3.13gD

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 circular racetrack has a radius of 500 m. What is the displacement of a bicyclist when she travels around the track from the north side to the south side? When she makes one complete circle around the track? Explain.

A jet fighter pilot wishes to accelerate from rest at a constant acceleration of to reach Mach 3 (three times the speed of sound) as quickly as possible. Experimental tests reveal that he will black out if this acceleration lasts for more than5.0s. Use331m/sfor the speed of sound. (a) Will the period of acceleration last long enough to cause him to black out? (b) What is the greatest speed he can reach with an acceleration ofbefore he blacks out?

Four astronauts are in a spherical space station. (a) If, as is typical, each of them breathes about 500 cm3 of air with each breath, approximately what volume of air (in cubic meters) do these astronauts breathe in a year? (b) What would the diameter (in meters) of the space station have to be to contain all this air?

The most powerful engine available for the classic 1963 Chevrolet Corvette Sting Ray developed 360 horsepower and had a displacement of 327 cubic inches. Express this displacement in liters (L) by using only the conversions 1 L = 1000 cm3 and 1 in. = 2.54 cm.

Given two vectors A鈫�=4.00i^+7.00j^ and B鈫�=5.00i^鈭�7.00j^, (a) find the magnitude of each vector; (b) use unit vectors to write an expression for the vector difference A鈫�鈭�B鈫�; and (c) find the magnitude and direction of the vector difference A鈫�鈭�B鈫�. (d) In a vector diagram showA鈫�,B鈫� and A鈫�鈭�B鈫�, and show that your diagram agrees qualitatively with your answer to part (c).
See all solutions

Recommended explanations on Physics Textbooks

Electromagnetism

Read Explanation

Waves Physics

Read Explanation

Engineering Physics

Read Explanation

Thermodynamics

Read Explanation

Electric Charge Field and Potential

Read Explanation

Linear Momentum

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.