$1.$ A$)$ How would you show experimentally that the pressure at a given point in a liquid is the same in all directions?

B$)$ The figure shows a section through a mug which has the shape of a truncated cone and which is full of liquid.

$($i$)$ Is the total thrust exerted by the liquid on the base equal to the weight of the liquid, or more, or less? Explain why your answer.

$($ii$)$ The area of the bast is $\backslash (0\mathrm{.}003\backslash$mathrm$\{$~m$\}^\{2\}(30\backslash$mathrm$\{$~cm$\}\backslash )\text{'})$ and the depth of the liquid is $0\mathrm{.}15$ m $\backslash ((15\backslash$mathrm$\{$~cm$\})\backslash )$ The density of the liquid is $\backslash (1100\backslash$mathrm$\{$~kg$\}/\backslash$mathrm$\{$m$\}^\{3\}\backslash$left$(1\mathrm{.}1\backslash$mathrm$\{$~g$\}/\backslash$mathrm$\{$cm$\}^\{3\}\backslash$right$)\backslash ).$ What is the thrust in newtons exerted by the liquid on the base of the mug?

$2.$ A$)$ Explain why a body moving in circular motion at a constant speed is actually accelerating.

B$)$ The Daytona $500$ is the major event of the NASCAR $($National Association for Stock Car Auto Racing$)$ season. It is held at the Daytona International Speedway in Daytona, Florida. The turns in this oval track have a maximum radius $($at the top$)$ of $\backslash ($ r$=316\backslash$mathrm$\{$~m$\}\backslash )$ and are banked steeply, with $\backslash (\backslash$theta$=31^\{\backslash$circ$\}\backslash ).$ Suppose these maximumradius turns were frictionless. At what speed would the cars have to travel around them? Drivers actually negotiate the turns at speeds up to $\backslash (87\backslash$mathrm$\{$~m$\}/\backslash$mathrm$\{$s$\}\backslash )$; how is this possible?

$3.$ State the principle of Conservation of Energy.

$4.$ A $\backslash (47\mathrm{.}0-\backslash$mathrm$\{$g$\}\backslash )$ golf ball is driven from the tee with an initial speed of $\backslash (52\mathrm{.}0\backslash$mathrm$\{$~m$\}/\backslash$mathrm$\{$s$\}\backslash )$ and rises to a height of $24\mathrm{.}6$ m $.$

$($a$)$ What is the kinetic energy of the ball at its highest point $($neglect air resistance$).$

$($b$)$ What is its speed when it is $8\mathrm{.}0$ m below its highest point?

$5.$ State principle of Conservation of Linear Momentum.

$6.$ A truck of mass $1200$ kg is moving with a speed of $\backslash (7\backslash$mathrm$\{$~m$\}/\backslash$mathrm$\{$s$\}\backslash )$ when it collides with a second truck of mass $1600$ kg which is stationary. If the two trucks are automatically coupled together at impact, with what speed do they move on together? What kind of collision is this?