An unbalanced baton consists of a 50-cm-long uniform rod of mass $200 \mathrm{~g}$. At one end there is a 10 -cm-diameter uniform solid sphere of mass $500 \mathrm{~g}$, and at the other end there is a $8.0-\mathrm{cm}-$ diameter uniform solid sphere of mass $750 \mathrm{~g}$. (The center-to-center distance between the spheres is $59 \mathrm{~cm}$.)

$(c)$ What is the net external force on the baton while in the air?

Bobby rode his bike north. At Grand Avenue he turned left $90^{\circ}$. When he reached Arden Road, he turned left $90^{\circ}$. In what direction was Bobby riding on Arden Road?

If you rode your bike at an average speed of $15 \mathrm{~km} / \mathrm{h}$ for $4 \mathrm{~h}$, how many kilometers did you travel?

A capybara is the world's largest rodent. It can grow to be $1 \frac{3}{10} \mathrm{~m}$ long. Which improper fraction represents the length of the capybara?

A $\frac{36}{13} m$ B $\frac{13}{10} \mathrm{~m}$ C $\frac{29}{10} \mathrm{~m}$ D $\frac{11}{10} m$

Maya rode her bike to the park and back. If the trip was

$$3 \frac { 3 } { 4 }$$

miles each way, how far did she ride in all?

You use a fishing rod to cast a lure into the water. The height y (in feet) of the lure is given by

$$y=-\frac{1}{90} x^{2}+\frac{1}{5} x+9$$

where x is the horizontal distance (in feet) from where the lure is released. (a) How high is the lure when it is released? (b) How high is the lure at its maximum height? (c) How far from its release point does the lure land?

A cylindrical metal rod $1.0 \mathrm{~cm}$ in diameter and $25 \mathrm{~cm}$ long is compressed by $0.10 \mathrm{~mm}$ when a force of $4.7 \mathrm{kN}$ is applied. What's Young's modulus for this material? (a) $2.5 \times 10^{11} \mathrm{~N} / \mathrm{m}^2$; (b) $1.5 \times 10^{11} \mathrm{~N} / \mathrm{m}^2$; (c) $1.0 \times 10^{11} \mathrm{~N} / \mathrm{m}^2$; (d) $0.5 \times 10^{11} \mathrm{~N} / \mathrm{m}^2$.

Ana María quiere ser médica. Lee la descripción de su visita a la sala de emergencia. Escoge y escribe la palabra correcta para decir lo que pasó allí.

Vi muchas cosas interesantes. Una chica_____(se torció-tropezó) la rodilla esquiando,

The ball $B$ has a mass of $10 \mathrm{~kg}$ and is attached to the end of a rod $(\ell = 0.5 \text{ m})$ whose mass can be neglected. If the shaft is subjected to a torque $M=\left(2 t^2+4\right) \mathrm{N} \cdot \mathrm{m}$, where $t$ is in seconds, determine the speed of the ball when $t=2 \mathrm{~s}$. The ball has a speed $v=2 \mathrm{~m} / \mathrm{s}$ when $t=0$.

Corrige.

1. Es importante que uno lleve casco y rodilleras si levanta pesas.
2. A mucha gente le gusta andar en monopatín en el hospital.
3. Un maratón es una carrera de corta distancia.
4. Antes de correr, los corredores se estiran los dedos y los pies.
5. Cuando practicas yoga, haces muchas planchas.

The pin that holds the two halves of a pair of pliers together at $B$ has a diameter $d=6.35 \mathrm{~mm}$ and is made of steel for which $\tau_{\text {allow. }}=75 \mathrm{MPa}$. What is the allowable force $\left(P_C\right)_{\text {allow. (not shown) that can be exerted on the round }}$ rod at $C$ by each jaw, assuming that the corresponding force $P_A$ is applied to the handles at each of the two places marked $A$ in Fig.

Christy rode her bike 60 miles in 5 hours. a. What was her average speed in miles per hour? b. What was the average number of minutes it took to ride each mile?

A $1.50-\mathrm{m}$ cylinder of radius $1.10 \mathrm{~cm}$ is made of a complicated mixture of materials. Its resistivity depends on the distance $x$ from the left end and obeys the formula $\rho(x)=$ $a+b x^2$. where $a$ and $b$ are constants. At the left end, the resistivity is $2.25 \times 10^{-8} \Omega \cdot \mathrm{m}$, while at the right end it is $8.50 \times$ $10^{-8} \Omega \cdot \mathrm{m}$. (c) If we cut the rod into two $75.0$-cm halves, what is the resistance of each half?

For the davit of the $500 -\mathrm{mm}$ tube $AB$ can slide along a horizontal rod The ends $A$ and $B$ of the tube are connected by elastic cords to the fixed point $C$. For the position corresponding to $x=275 \mathrm{~mm}$, deternine the angle formed by the two cords, (a) using $\mathbf{P} \cdot \mathbf{P}=P_{x}^{2}+P_{y}^{2}+P_{z}^{2}=P^{2}$, (b) applying the law of cosines to triangle $ABC$, determine the largest allowable distance $x$ when the tension in the line $ABAD$ is $60 \mathrm{~lb}$.