Chapter 5

$\mathrm{5.00\; N}$

(a) 588 N

(b) $1\text{.}\text{96 m}{\text{/s}}^2$

(a) 3.29 m/s²

(b) 3.52 m/s²

(c) 980 N; 945 N

$1\text{.}\text{83}{\text{m/s}}^2$

(a) $4\text{.}{\text{20 m/s}}^2$

(b) $2\text{.}{\text{74 m/s}}^2$

(c) $\text{–0}\text{.}{\text{195 m/s}}^2$

(a) $1\text{.}\text{03}\times {\text{10}}^6\mathrm{N}$

(b) $3\text{.}\text{48}\times {\text{10}}^5\mathrm{N}$

(a) $\text{51}\text{.}\mathrm{0\; N}$

(b) $0\text{.}\text{720 m}{\text{/s}}^2$

$\text{115}\text{m/s;}\text{414}\text{km/hr}$

$\text{25 m/s; 9.9 m/s}$

$2\text{.}9$

$\left[\eta \right]=\frac{\left[F_{\text{s}}\right]}{\left[r\right]\left[v\right]}=\frac{\text{kg}\cdot {\text{m/s}}^2}{\text{m}\cdot \text{m/s}}=\frac{\text{kg}}{\text{m}\cdot \text{s}}$

$0\text{.}\text{76 kg/m}\cdot \mathrm{s}$

(a)1 mm
(b) This does seem reasonable, since the lead does seem to shrink a little when you push on it.

(a)9 cm
(b)This seems reasonable for nylon climbing rope, since it is not supposed to stretch that much.

8.59 mm

(a) $3\text{.}\text{99}\times {\text{10}}^{-7}\mathrm{m}$

(b) $9\text{.}\text{67}\times {\text{10}}^{-8}\mathrm{m}$

$4\times {\text{10}}^6{\text{N/m}}^2$. This is about 36 atm, greater than a typical jar can withstand.

1.4 cm

(b)

(c)