Using Capitals for Titles of People. Write five sentences of your own. using in each sentence one title as described in the following items. Be sure to capitalize correctly a family member's title used in direct address

A 10.0 kg block is released from rest on a frictionless track inclined at an angle of

$$55 ^ { \circ }$$

. (a) What is the net force on the block after it is released? (b) What is the acceleration of the block? (c) If the block is released from rest, how long will it take for the block to attain a speed of 10.0 m/s? (d) Draw a motion diagram for the block. (e) Draw a graph of

$$v _ { x } ( t )$$

for values of velocity between 0 and 10 m/s. Let the positive x-axis point down the track.

(Continuation of Problem $31$.) Now suppose the money is deposited once a month (instead of continuously) but still at a rate of $\$ 1200$ per year.

(c ) Compare your answer in part (b) to your answer to Problem 31(c ).

A small block is attached to an ideal spring and is moving in SHM on a horizontal, frictionless surface. When the block is at x = 0.280 m, the acceleration of the block is $-5.30 \mathrm{m} / \mathrm{s}^{2}$. What is the frequency of the motion?

When fired from a gun into a $1.00-\mathrm{kg}$ block of wood held in a vise, a $7.00-g$ bullet penetrates the block to a depth of $8.00 \mathrm{~cm}$. The block is then placed on a frictionless, horizontal surface, and a second $7.00-\mathrm{g}$ bullet is fired from the gun into the block. To what depth does the bullet penetrate the block in this case?

A 0.03 -lb bullet traveling at 1300 ft/s strikes the 10 -lb wooden block and exits the other side at 50 ft/s as shown. Determine the speed of the block just after the bullet exits the block, and also determine how far the block slides before it stops. The coefficient of kinetic friction between the block and the surface is $\mu_{k}$=0.5 .

A $1.34$-kg block sliding on a horizontal surface collides with a spring of force constant $1.93$ N/cm. The block compresses the spring $4.16$ cm from the unextended position. Friction be- tween the block and the surface dissipates $117$ m$\mathrm{J}$ of mechan- ical energy as the block is brought to rest. Find the speed of the block at the instant of collision with the spring.

Food Preparation A deli worker has a large block of cheese in the shape of a cube. She makes one cut through the block parallel to one of the faces. What is the shape of the remaining block?

A bullet of mass $m=30 \mathrm{~g}$ is fired into a wooden block of mass $M=5.0 \mathrm{~kg}$ as shown in the given figure. The block is attached to a string of length $1.5 \mathrm{~m}$. The bullet is embedded in the block, causing the block to then swing as shown in the figure. If the block reaches a maximum height $h=0.30 \mathrm{~m}$, what was the initial speed of the bullet?

A block of mass 300 g is attached to a spring of spring constant 100 N/m. The other end of the spring is attached to a support while the block rests on a smooth horizontal table and can slide freely without any friction. The block is pushed horizontally till the spring compresses by 12 cm, and then the block is released from rest. (a) How much potential energy was stored in the block-spring support system when the block was just released? (b) Determine the speed of the block when it crosses the point when the spring is neither compressed nor stretched. (c) Determine the speed of the block when it has traveled a distance of 20 cm from where it was released.

The velocity of block $A$ is $2 \mathrm{~m} / \mathrm{s}$ to the right at the instant when $r=0.8 \mathrm{~m}$ and $u=30^{\circ}$. Neglecting the mass of the pulley and the effect of friction in the pulley and between block $A$ and the horizontal surface, determine, at this instant, $(a)$ the tension in the cable, (b) the acceleration of block $A,(c)$ the acceleration of block $B$.

A block of $5.00\mathrm{~kg}$ is placed on top of a $10.0\mathrm{~kg}$ block A horizontal force of 45.0 N is applied to the 10-kg block away from the wall and the $5\mathrm{~kg}$ block is tied to the wall. The coefficient of kinetic friction between all moving surfaces is $0.200$.
(a) Draw a free-body diagram for each block and identify the action-reaction forces between the blocks.
(b) Determine the tension in the string and the magnitude of the acceleration of the $10\mathrm{~kg}$ block .

A $0.341\text{~kg}$ block of wood hangs from the celling by a string, and a $0.0567-\mathrm{kg}$ wad of putty is thrown straight upward, striking the bottom of the block with a speed of $8.05 \mathrm{~m} / \mathrm{s}$. The wad of putty sticks to the block. How high does the putty-block system rise above the original position of the block?

In the political cartoon 'The Plumb-pudding in danger', the figure at left represents the British and the figure at right represents Napoleon. Use the cartoon to answer the following questions:

(a) Compose a title for the cartoon.

(b) Explain the meaning of the title you created.