/*! 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. 27 FIGURE P7.27 shows a 6.0 N for... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

FIGURE P7.27shows a 6.0N force pushing two gliders along an air track. The 200g spring between the gliders is compressed. How much force does the spring exert on

(a) glider A and

(b) glider B?

The spring is firmly attached to the gliders, and it does not sag.

Short Answer

Expert verified

(a) The force exerted by the spring on glider A is 4Nwith the opposite direction of the external force.

(b) The force exerted by spring on glider B is 3Nin the direction of external force.

Step by step solution

01

Given information (part a)

The gliders are on the air track, friction is negligible.

Mass of right glider A, m=0.4kg

Mass of right spring, ms=0.2kg

External force Fext=6N

02

Explanation (part a)

The gliders are on the track, friction is negligible. Hence all move with constant acceleration and let it be a.

M+m+msa=Fexta=FextM+m+ms……1FSA=Fext-ma……2

Substituting the given data in the equation 1

role="math" localid="1649077951078" a=60.6+0.4+0.2a=5m/s2……3

Substituting the given data in the equation3value in the equation2

-FSA=6-0.45FSA=-4N

The force exerted by the spring on glider A is4Nwith the opposite direction of the external force.

03

Given information (part b)

The gliders are on the air track, friction is negligible.

Mass of right glider B, m=0.6kg

Mass of right spring,ms=0.2kg

External force Fext=6N

04

Explanation (part b)

The gliders are on the track, friction is negligible. Hence all move with constant acceleration and let it be a.

M+m+msa=Fexta=FextM+m+ms……1FSB=ma……3

This is force due to spring on glider B .

Substituting the given data in the equation 1

a=60.6+0.4+0.2a=5m/s2……3

Substituting the given data in the equation 3value in the equation 2

localid="1649679014912" role="math" FSB=0.6kg5m/s2FSB=3N

Itis 3Nin the direction of external force.

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 91Ó°ÊÓ!

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

The sled dog in the figure drags sleds A and B across the snow. The coefficient of friction between the sleds and the snow is 0.10.If the tension in rope 1is150N,what is the tension in rope 2?

The 2000kgcable car shown in FIGURE P7.42descends a 200-m-high hill. In addition to its brakes, the cable car controls its speed by pulling an1800kg counterweight up the other side of the hill. The rolling friction of both the cable car and the counterweight are negligible.

a. How much braking force does the cable car need to descend at constant speed?

b. One day the brakes fail just as the cable car leaves the top on its downward journey. What is the runaway car’s speed at the bottom of the hill?

The coefficient of static friction is 0.60 between the two blocks in FIGURE P7.35. The coefficient of kinetic friction between the lower block and the floor is 0.20. ForceF→causes both blocks to cross a distance of 5.0m, starting from rest. What is the least amount of time in which this motion can be completed without the top block sliding on the lower block?

The hand in the figure is pushing on the back of block A. Blocks A and B, with mb>maare connected by a massless string and slide on a frictionless surface. Is the force of the string on B larger than, smaller than, or equal to the force of the hand on A? Explain.

FIGURECP7.58shows three hanging masses connected by massless strings over two massless, frictionless pulleys.

a. Find the acceleration constraint for this system. It is a single equation relatinglocalid="1649865348893" a1y,a2y,anda3y.Hint:yAisn’t constant.

b. Find an expression for the tension in string A.Hint: You should be able to write four second-law equations. These, plus the acceleration constraint, are five equations in five unknowns.

c. Suppose:m1=2.5kg,m2=1.5kg,andm3=4.0kg.Find the acceleration of each.

d. The 4.0kgmass would appear to be in equilibrium. Explain why it accelerates.

See all solutions

Recommended explanations on Physics Textbooks

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.