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$\bullet$ While a roofer is working on a roof that slants at $36^{\circ}$ abovethe horizontal, he accidentally nudges his 85.0 N toolbox,causing it to start sliding downward, starting from rest. If itstarts 4.25 $\mathrm{m}$ from the lower edge of the roof, how fast will thetoolbox be moving just as it reaches the edge of the roof if thekinetic friction force on it is 22.0 $\mathrm{N} ?$

$v_{2}=5.24 \mathrm{m} / \mathrm{s}$

Physics 101 Mechanics

Chapter 7

Work and Energ

Physics Basics

Applying Newton's Laws

Kinetic Energy

Potential Energy

Energy Conservation

Cornell University

University of Michigan - Ann Arbor

University of Winnipeg

McMaster University

Lectures

03:47

In physics, the kinetic en…

04:05

In physics, a conservative…

05:19

While a roofer is working …

04:57

A brick of mass $1.0 \math…

07:00

ssm A worker stands still …

06:43

$\bullet$At a construction…

06:09

You and your friend Peter …

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Using a rope that will sna…

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A house painter stands $3.…

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A pickup truck is carrying…

01:50

You are helping to repair …

03:34

A $40.0 \mathrm{kg}$ wagon…

02:18

A worker walks up the slop…

03:01

A warehouse worker exerts …

01:49

A carpenter tosses a shing…

A 16-kg sled is being pull…

08:34

A factory worker accidenta…

02:12

An 85 kg man lowers himsel…

A 70 kg firefighter slides…

04:31

A 15.0 -m uniform ladder w…

08:00

A 60.0-kg skier starts fro…

No. We're going to solve problem number 50 nine in this problem. First off, all we understand the situation there and inclined rule is given the English in off the roof is treater. End of books? Yes. Place on the the roof. The weight on the box exacting downwards. This word force Can we do? I did into mutually perpendicular components. Mg cost Rita and MG sign treater. The frictional force is acting in the opposite direction. That is a port. Stay in plain proof. This is the cowfish. This is the kind of ticked friction force the normal forces acting perpendicular to the surface off the roof. The box is sliding in this direction. It will have some velocity at the edge of the roof. That initial lost e is a royal, and, uh, total distance traveled is be We will solve this question by using work energy to room. So far, Stopfel, let us do not the weapon by the gravity. The traditional force will do work on the box on lead you to its m de Saint Rita component. Because M Geico streeter is perpendicular to their displacement vectors. So only MD signed Rita. We'll do some work on that fool Work done by gravity is equal to MT. Sign Frieda Bakery into their displacement Off the box which is the for penned by the frictional Force, is equal to If, okay, Indo be This work will be negative because it is in opposing direction. Off the movement off the box The final energy off the books at the edge of the roof Sequel to have be this square ISC will do Okay, e no, But given values in the question are the blue because it d five new tons which gives us the moss off the books as a point 66 Cagey the displacement off the books as 4.25 meters and the Frictional Force sequel to 22 mutants now using work energy theorem Then that work done on and object is equal toda change in kinda take energy off the object So network is w g minus of in today which is the work to do Frictional force is equal to initial kind of take energy This final kind energy this start difference in planet tick energies now substituting the values we get 85 didn't go 4.25 which is the distance in tow. Sane Trita minus. Don't get too into four point 25 is equal to half in tow. Yeah, 0.66 V. He's glad this really gave us. Do one cool point. Don't go minus 93. Wine five physical too. Four point 33 B squared. Hence we get the velocity of the box at the edge of the roof s because life point two three six meters mode sickened. Is that required velocity at the edge of the roof Off the box discussion totally belongs. Do the work Energy serums. Ah, there. Methods can also be applied here. But they are Landy to follow, so we must apply.

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