/*! 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 plastic ball has radius 12.0 cm and floats in water with 24.0% of its volume submerged. (a) What force must you apply to the ball to hold it at rest totally below the surface of the water? (b) If you let go of the ball, what is its acceleration the instant you release it?

An astronaut has left the International Space Station to test a new space scooter.

Her partner measures the following velocity changes, each taking place in a 10-sinterval.

What are the magnitude, the algebraic sign, and the direction of the average acceleration in each interval?

Assume that the positive direction is to the right.

(a) At the beginning of the interval, the astronaut is moving toward the right along the x-axis at 15.0m/s, and at the end of the interval she is moving toward the right at5.0m/s .

(b) At the beginning she is moving toward the left atrole="math" localid="1655276110547" 5.0m/s , and at the end she is moving toward the left at 15.0m/s.

(c) At the beginning she is moving toward the right at , and at the end she is moving toward the left atrole="math" localid="1655276636193" 15.0m/s .

How many times does a typical person blink her eyes in a lifetime?

Water flows steadily from an open tank as in Fig. P12.81. The elevation of point 1 is 10.0 m, and the elevation of points 2 and 3 is 2.00 m. The cross-sectional area at point 2 is 0.0480 m2; at point 3 it is 0.0160 m2. The area of the tank is very large compared with the cross-sectional area of the pipe. Assuming that Bernoulli鈥檚 equation applies, compute (a) the discharge rate in cubic meters per second and (b) the gauge pressure at point 2.

A car and a truck start from rest at the same instant, with the car initially at some distance behind the truck. The truck has a constant acceleration of20m/s2, and the car has an acceleration of3.40m/s2. The car overtakes the truck after the truck has moved60.0m. (a) How much time does it take the car to overtake the truck? (b) How far was the car behind the truck initially? (c) What is the speed of each when they are abreast? (d) On a single graph, sketch the position of each vehicle as a function of time. Takex=0at the initial location of the truck.
See all solutions

Recommended explanations on Physics Textbooks

Translational Dynamics

Read Explanation

Conservation of Energy and Momentum

Read Explanation

Famous Physicists

Read Explanation

Dynamics

Read Explanation

Physical Quantities And Units

Read Explanation

Further Mechanics and Thermal Physics

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.