Right now I am an applied physics major at BYU. I took AP physics when I was 15 and got a 5 on the test. I have had an A in every physics class I have taken and I have a 4.0 GPA as a junior in college. I have recently been informally tutoring two of my friends in their Newtonian physics course, and they both have an A in their class.
Look at Figure 4.13.(a) Find the current in, and potential difference across, each resistor. The potential at A is $12 \mathrm{V}$.(b) What is the potential difference between $A$ and $\mathrm{B} ?$
Figure $14-54$ shows a stream of water flowing through a hole at depth $h=10 \mathrm{~cm}$ in a tank holding water to height $H=40 \mathrm{~cm}$. (a) At what distance $x$ docs the strcam strike the floor? (b) At what depth should a second hole be made to give the same value of $x ?$ (c) At what depth should a hole be made to maximize $x ?$
A very simplified schematic of the rain drainage system for a home is shown in Fig. $14-55 .$ Rain falling on the slanted roof runs off into gutters around the roof edge; it then drains through downspouts (only one is shown) into a main drainage pipe $M$ below the basement, which carries the water to an even larger pipe below the street. In Fig. $14-55,$ a floor drain in the basement is also connected to drainage pipe$M .$ Suppose the following apply:(1) the downspouts have height $h_{1}=11 \mathrm{~m},$ (2) thefloor drain has height $h_{7}=1.2 \mathrm{~m},(3)$ pipe $M$ hasradius $3.0 \mathrm{~cm},(4)$ the house has side width $w=30 \mathrm{~m}$ and front length $L=60 \mathrm{~m}$.(5) all the water striking the roof goes through pipe $M,(6)$ the initial speed of the water in a downspout is negligible, and (7) the wind speed is negligible (the rain falls vertically).
At what rainfall rate, in centimeters per hour, will water from pipe $M$ reach the height of the floor drain and threaten to flood the basement?
Figure $14-30$ shows a modified $\mathrm{U}$ -tube: the right arm is shorter than the left arm. The open end of the right arm is height $d=10.0 \mathrm{~cm}$ above the laboratory bench. The radius throughout the tube is $1.50 \mathrm{~cm} .$ Water is gradually poured into the open end of the left arm until the water begins to flow out the open end of the right arm. Then a liquid of density $0.80 \mathrm{~g} / \mathrm{cm}^{3}$ is gradually added to the left arm until its height in that arm is $8.0 \mathrm{~cm}$ (it does not mix with the water). How much water flows out of the right arm?
Figure $14-56$ shows a siphon, which is a device for removing liquid from a container. Tube $A B C$ must initially be filled, but once this has been done, liquid will flow through the tube until the liquid surface in the container is level with the tube opening at $A$. The liquid has density $1000 \mathrm{~kg} / \mathrm{m}^{3}$ and negligible viscosity. The distances shown are $h_{1}=25 \mathrm{~cm}$, $d=12 \mathrm{~cm},$ and $h_{2}=40 \mathrm{~cm} .$ (a) Withwhat speed does the liquid emerge from the tube at $C ?$ (b) If the atmospheric pressure is $1.0 \times 10^{5} \mathrm{~Pa}$, what is the pressure in the liquid at the topmost point $B ?$ (c) Theoretically, what is the greatest possible height $h_{1}$ that a siphon can lift water?
(13%) Problem 5: A bullet is fired horizontally into aninitially stationary block of wood suspended by a string andremains embedded in the block. The bullet's mass is m = 0.0075 kg,while that of the block is M = 0.93 kg. After the collision theblock/bullet system swings and reaches a maximum height of h = 0.95m above its initial height. Neglect air resistance.Part (a) Enter an expression of the speed of the block/bulletsystem immediately after the collision in terms of definedquantities and g.Part (b) Find the speed of the block/bullet system, in meters persecond, immediately after the collision.Part (c) Enter an expression for the initial speed of the bulletin terms of defined quantities and g.Part (d) Find the initial speed of the bullet, in meters persecond.Part (e) Find the initial kinetic energy of the bullet, injoules.Part (f) Enter an expression for the kinetic energy of theblock/bullet system immediately after the collision, in terms ofdefined quantities and g.Part (g) Calculate the ratio, expressed as a percent, of thekinetic energy of the block/bullet system immediately after thecollision to the initial kinetic energy of the bullet.
Suppose the mass of a fully loaded module in which astronauts take off from the Moon is 12,700 kg. The thrust of its engines is 29,000 N. (Assume that the gravitational acceleration on the Moon is 1.67 m/s^2.)
(a) Calculate (in m/s^2) its magnitude of acceleration in a vertical takeoff from the Moon.m/s^2
(b) Could it lift off from Earth? If not, why not?No, the thrust of the module's engines is equal to its weight on Earth.Yes, the thrust of the module's engines is greater than its weight on Earth.No, the thrust of the module's engines is less than its weight on Earth.Yes, the thrust of the module's engines is equal to its weight on Earth.
If it could, calculate (in m/s^2) the magnitude of its acceleration. (If not, enter NONE.)m/s^2
A student exchangesthe stock headphones(β1 = 89 dB) for her mp3 playerfor a new set that is louder(β2 = 92.5 dB). If the first set produced a powerof P1 = 0.5 W how much power does thenew set produce, P2 in W?
