$$
\begin{array}{l}{\text { A } 75-\mathrm{kg} \text { roofer climbs a vertical } 7.0 \text { -m ladder to the flat }} \\ {\text { roof of a house. He then walks } 12 \mathrm{m} \text { on the roof, climbs down }} \\ {\text { another vertical } 7.0 \text { -m lader, and finally walks on the ground back }} \\ {\text { to his starting point. How much work is done on him by gravity }} \\ {\text { (a) as he climbs up; (b) as he climbs down; (c) as he walks on the }}\end{array}
$$

$$
\begin{array}{l}{\text { roof and on the ground? (d) What is the total work done on him by }} \\ {\text { gravity during this round trip? (e) On the basis of your answer to }} \\ {\text { part (d), would you say that gravity is a conservative or nonconser- }} \\ {\text { vative force? Explain. }}\end{array}
$$

$$
w_{g}=m g \cos \theta
$$

$$
=75*9.8 \cos 180
$$

$$
=-5100J
$$

$$
w_g=m g \cos \theta
$$

$$
=75 *9.8 \cos0
$$

$$
=5100\mathrm{J}
$$

$$
\theta=90^{\circ}
$$

$$
w _g=Z e r o
$$

$$
w_{total}=w_{g_{1}}+w_{g_{2}}+w_{g_{3}}
$$

$$
-5100+0+5100=Zero
$$

$$
\begin{array}{l}{\text { A } 0.60-\mathrm{kg} \text { book slides on "horizontal table. The kinetic fric- }} \\ {\text { tion force on the book has magnitude } 1.2 \mathrm{N} \text { . (a) How much work is }} \\ {\text { done on the book by friction during a displacement of } 3.0 \mathrm{m} \text { to the }} \\ {\text { left? (b) The book now slides } 3.0 \mathrm{m} \text { to the right, returning to its }} \\ {\text { starting point. During this second } 3.0-\mathrm{m} \text { displacement, how much }}\end{array}
$$

$$
\begin{array}{l}{\text { work is done on the book by friction? (c) What is the total work }} \\ {\text { done on the book by friction during the complete round trip? (d) On }} \\ {\text { the basis of your answer to part (c), would you say that the friction }} \\ {\text { force is conservative or nonconservative? Explain. }}\end{array}
$$

$$

\begin{array}{l}{\text { A } 75-\mathrm{kg} \text { roofer climbs a vertical } 7.0 \text { -m ladder to the flat }} \\ {\text { roof of a house. He then walks } 12 \mathrm{m} \text { on the roof, climbs down }} \\ {\text { another vertical } 7.0 \text { -m lader, and finally walks on the ground back }} \\ {\text { to his starting point. How much work is done on him by gravity }} \\ {\text { (a) as he climbs up; (b) as he climbs down; (c) as he walks on the }}\end{array}

$$

$$

\begin{array}{l}{\text { roof and on the ground? (d) What is the total work done on him by }} \\ {\text { gravity during this round trip? (e) On the basis of your answer to }} \\ {\text { part (d), would you say that gravity is a conservative or nonconser- }} \\ {\text { vative force? Explain. }}\end{array}

$$

$$

w_{g}=m g \cos \theta

$$

$$

=75*9.8 \cos 180

$$

$$

=-5100J

$$

$$

w_g=m g \cos \theta

$$

$$

=75 *9.8 \cos0

$$

$$

=5100\mathrm{J}

$$

$$

\theta=90^{\circ}

$$

$$

w _g=Z e r o

$$

$$

w_{total}=w_{g_{1}}+w_{g_{2}}+w_{g_{3}}

$$

$$

-5100+0+5100=Zero

$$

$$

\begin{array}{l}{\text { A } 0.60-\mathrm{kg} \text { book slides on "horizontal table. The kinetic fric- }} \\ {\text { tion force on the book has magnitude } 1.2 \mathrm{N} \text { . (a) How much work is }} \\ {\text { done on the book by friction during a displacement of } 3.0 \mathrm{m} \text { to the }} \\ {\text { left? (b) The book now slides } 3.0 \mathrm{m} \text { to the right, returning to its }} \\ {\text { starting point. During this second } 3.0-\mathrm{m} \text { displacement, how much }}\end{array}

$$

$$

\begin{array}{l}{\text { work is done on the book by friction? (c) What is the total work }} \\ {\text { done on the book by friction during the complete round trip? (d) On }} \\ {\text { the basis of your answer to part (c), would you say that the friction }} \\ {\text { force is conservative or nonconservative? Explain. }}\end{array}

$$

$$

m=0.6 \mathrm{kg}

$$

$$

S=3 m

$$

$$

f_{k}=1.2 \mathrm{N}

$$

$$

\theta=180^{\circ}

$$

$$

W{f_{k}}=f_{k} S \cos \theta

$$

$$

{=-(1.2)(0.3) \cos 180=-3.6 \mathrm{J}}

$$

$$

w_{2} f_{k}=-3.6 J

$$

$$

w_\text { net }=-3.6+(-3.6)=-7.2 \mathrm{J}

$$

$$

\text { force is Not Conservation. }

$$

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