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Geometry book.
"In this figure, [measure of angle] 3 = x+18, [measure of angle] 4 = x+15, and [measure of angle] 5 = 4x+3."
In the diagram, there is also an "angle 1." Angle 1 = Angle 3.

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quid with a “sweet” smell.
i. Using the ground state electron configuration and excited state electron
configuration explain the hybridization of the central Carbon (C) atom. (7 Marks)
ii. Identify the orbitals that overlap to form the C-Cl bond. Draw a diagram to show
the orbital overlap. (3 Marks)
iii. What is the bond angle of CCl4? (1 Mark)
b) Consider a Fluorine atom (F) and a Fluorine anion (F-). Which of these two species would
you expect to have a larger radius? Explain your answer. (5 Marks)
c) Explain why the first ionization energy of Aluminum (Al) is less than that of Magnesium
(Mg). (4 Marks)
d) Assume the atom Oxygen(O) can form both cationic(O+) and anionic(O-) species. Place
the following species in order of increasing first ionization energy, starting with the lowest.
O+, O, O-
(5 Marks)
4.
a) Sea water contains roughly 28.0 g of NaCl per liter. (NaCl molar mass = 58.44 gmol-1).
i. Calculate the number of moles of NaCl in a liter of sea water. (2 Marks)
ii. Calculate the molarity of NaCl in sea water. (4 Marks)
iii. Calculate the mass by volume percent (W/V) of NaCl in sea water. (4 Marks)
Lowest first
ionization energy
…………………
…..
Intermediate
ionization energy
…………………
…..
Highest first
ionization energy
…………………

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measures 16 m, find the length of side c

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ve the ground. What is the magnitude and direction of the resultant vector?

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5.A uniform horizontal beam of length 1.4 m and weight 64 N is attached to a wall by a hinge ...

ft end and by a cable which makes an angle of θ= 18 ∘ with respect to the beam at its right end. A sign of weight 40 N hangs from the right end of the beam. How large is the tension force in the cable?

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6.Glen pulls a sled using a force of 100. N at the angle shown in the diagram. The sled travels ...

to the right. Determine the work done by Glen on the sled. *

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7.I need to do a household experiment in which I need to calculate the torsion constant of a string. I ...

have a string hanging with a mass at the bottom and I need to take a video from under the setup and track the angle of twist using tracking software. How would I go about actually calculating the torsional constant.

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8.The equation of a helix is x=2 sin 2t, y=2 cos 2t, z=3t. a) Find the arc length s from ...

arbitrary point (2 sin 2t, 2 cos 2t, 3t) on the helix. b) Compute the arc length from (0,2,0) to (0,-2,3π/2) c) Compute the vectors T, N and B at (0,-2,3π/2) d) Compute the curvature at (0,-2,3π/2) e) Find the angle between T and the z-axis at (0,-2,3π/2) to the nearest tenth of a degree.

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9.The equation of a helix is x=2 sin 2t, y=2 cos 2t, z=3t. a) Find the arc length s ...

an arbitrary point (2 sin 2t, 2 cos 2t, 3t) on the helix.
b) Compute the arc length from (0,2,0) to (0,-2,3π/2)
c) Compute the vectors T, N and B at (0,-2,3π/2)
d) Compute the curvature at (0,-2,3π/2)
e) Find the angle between T and the z-axis at (0,-2,3π/2) to the nearest tenth of a degree.

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them on the ground. A dung beetle can roll (without slipping) a ball of dung with radius 4.70 cm at a linear speed of 8.90 cm/s.
Through what angle does the ball roll as the ball moves a distance of 10.0 cm?

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gle does the wheel rotate in 1.00 s?

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12.If object 1 weighs 823 grams and is on a sloped car with an angle of 28 degrees, at ...

the car need to go for object 1 to not slide down?

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hin a free demo session as I have my answers, but just want to confirm them, that would be greatly appreciated.
Question 1:
A block of mass M = 0.10 kg is attached to one end of a spring with spring constant k = 100 N/m . The other end of the spring is attached to a fixed wall. The block is pushed against the spring, compressing it a distance x = 0.04 m . The block is then released from rest, and the block-spring system travels along a horizontal, rough track. Data collected from a motion detector are used to create a graph of the kinetic energy K and spring potential energy Us of the system as a function of the block's position as the spring expands. How can the student determine the amount of mechanical energy dissipated by friction as the spring expanded to its natural spring length?
Question 2:
The Atwood’s machine shown consists of two blocks connected by a light string that passes over a pulley of negligible mass and negligible friction. The blocks are released from rest, and m2 is greater than m1. Assume that the reference line of zero gravitational potential energy is the floor. Which of the following best represents the total gravitational potential energy U and total kinetic energy K of the block-block-Earth system as a function of the height h of block m1?
Question 3:
A 2 kg block is placed at the top of an incline and released from rest near Earth’s surface and unknown distance H above the ground. The angle θ between the ground and the incline is also unknown. Frictional forces between the block and the incline are considered to be negligible. The block eventually slides to the bottom of the incline after 0.75 s. The block’s velocity v as a function of time t is shown in the graph starting from the instant it is released. How could a student use the graph to determine the total energy of the block-Earth system?
Question 4:
A block slides across a flat, horizontal surface to the right. For each choice, the arrows represent velocity vectors of the block at successive intervals of time. Which of the following diagrams represents the situation in which the block loses kinetic energy?

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He was on a flight path towards his destination that is 423 km away. To avoid a storm in the path of the plane, the pilot must travel at an angle of away from the destination for a distance of 327 km. The pilot then turns back towards his destination.
How far does the plane need to travel in total to reach the destination?

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15.Will a golfer using a wedge that sends the ball into the air at an angle of 54, be able ...

r ball
over a 45 ft tree if she is 30 feet in front of the tree?

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16.A 15-meter long pole is leaning against a wall and the base of the pole is 8 meters from the ...

hat is the angle of incline that the pole is forming with the ground, to the nearest whole degree?

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17. A tree grows at angle of 87° in Kayleigh’s backyard. Kayleigh wants to know the height of the tree. ...

ee. She walks 65 m
from the tree and measures an angle of elevation of 35° to the top of the tree. How tall is the tree?

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19.A ball is thrown with a speed of 40. m/s at an angle of 20 degrees up from the horizontal ...

nds in a valley which is 15. meters deep. Assume that air resistance is negligible.
Find the time the ball is in the air?

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20.A sphere of mass M = 20kg and radius R = 10cm has its mass distributed in a way where ...

mediately guess it’s moment of inertia. To investigate whether it behaves more like a solid sphere or hollow sphere, you roll it down a rough ramp inclined at an angle of 30° with respect to the horizontal. The sphere rolls without slipping and you measure the velocity of the center of mass to be 3 m/s as it leaves the bottom of the ramp. The ramp’s length is 2 m and you release the sphere from the top of the ramp, a height of 1 m.
a) What is the moment of inertia of the sphere?
b) What is the angular speed of the sphere as it reaches the bottom of the ramp?
c) What is the frictional force on the sphere?

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tion are 0.66 and 0.31, respectively. A man pushes down and forward on the crate at an angle of 42° from the horizontal.
(a) Draw a free body diagram. Include all components as taught in the course.
(b) What is the magnitude of the pushing force required to slide the crate across the dock at a constant acceleration of 2.1 m/s2?

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22.A triangular garden is created along a fence. Two sides of the garden are 7 m and 5 m. there ...

degree angle opposite the 5m side length. Determine the length of the garden along the fence.

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23.The angle of depression from the top of a lighthouse to a raft on the water is 33o. The angle ...

evation from a seagull on the water to the top of the lighthouse is 38o. If the distance between
the seagull and the raft is 7m, then what is the height of the lighthouse? Use the sine law to answer
the problem.

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someone. Thanks! (:
PROBLEM:
As a golf ball is hit, it leaves the club at an angle of 30° above the horizontal with a speed of 28 m/s.It lands on level ground some time later.
(a)Draw a sketch of the situation, and clearly assign a coordinate system.
(b) What is the acceleration of the ball at maximum height?
(c) How far from the tee does the ball hit flat ground after being struck?

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e.
"As a golf ball is hit, it leaves the club at an angle of 30° above the horizontal with a speed of 28 m/s.It lands on level ground some time later.
(a)Draw a sketch of the situation, and clearly assign a coordinate system.
(b) What is the acceleration of the ball at maximum height?
(c) How far from the tee does the ball hit flat ground after being struck?"

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26.Find the area of a circular sector with a central angle of 7(pi) over 6 and a radius of 12 ...

memphis, TN and New orleans, LA lie approximately on the same meridian. Memphis has a latitude of 35°N. find the distance between the 2 cities. (the radius of the earth is 3960 miles.)
Adam stands 30 ft from the base of a building and measures the angle of the elevation from the ground to the top of the building to be 57°. How tall is the building?

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ing 9.8 m/s after 1 second, 19.6 m/s after 2 seconds, and so on. Use the data values in your table to sketch a rough graph of velocity versus time for the 10° angle and another for the 40° angle. What value do the slopes of these graphs represent? Which graph has the greater slope? Why?

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18 m/s from a height of 12.5m. The water balloon hits the person who is 1.8 m tall. How far from the building is this person standing?

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29.A man jumps across a road, leaping at angle of 25° to just clear the 7.5 m width. Determine ...

locity that the jumper must have had to take to accomplish this feat.

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30.1. A ball is thrown with an initial speed of 20 m/s at an angle of 60° to the ground. ...

ance is negligible, what is the ball’s speed at the instant it reaches its maximum height from the ground?
A. - 20 m/s
B. 0 m/s
C. + 17.3 m/s
D. + 10 m/s
E. + 20 m/s
2. A rhino charges full speed at a car with an initial velocity of 15 m/s. When the rhino collides with the car, it crumples in by 1 m before the rhino comes to a complete stop. What acceleration did the rhino feel as it came to a stop?
A. - 112.5 m/s^2
B. - 7.5 m/s^2
C. - 30 m/s^2
D. + 112.5 m/s^2
E. + 30 m/s^2
F. + 7.5 m/s^2
3. Two students want to determine the speed at which a ball is released when thrown vertically upward into the air. One student throws the ball into the air while the other student measures the total time that the ball is in the air. The students use a meterstick to measure the release height of the ball. Which of the following equations should the students use to determine the speed at which the ball was released? *
A. Use y final = y initial+ v initial *t + (1/2)*a*t^2 from the moment in time in which the ball was released to the moment in time in which the ball reaches its highest point.
B. v final^2 = v initial ^2 + 2a(????y) from the moment in time in which the ball was released to the moment in time in which the ball hits the ground.
C. Use y final = y initial+ v initial *t + (1/2)*a*t^2 from the moment in time in which the ball was released to the moment in time in which the ball hits the ground.
D. v final^2 = v initial ^2 + 2a(????y) from the moment in time in which the ball was released to the moment in time in which the ball reaches its highest point.

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on the chair with a force F = 40.0 N that is directed at an angle of 43.0 ∘ below the horizontal and the chair slides along the floor

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The ball lands 601 m away from the cannon. How far above ground level is the cannon?

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n ( to the peak ) is 3.5 degrees. After you drive 13 miles closer to the mountain, the angle of elevation is 9 degrees. Approximate the height of the mountain.

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34.I have a question about this : An electric dipole has a dipole moment p is placed at an angle ...

0° with a uniform electric field E.
Calculate the work is required to rotate the dipole from this orientation ( = 30°) to one in which = 60°.

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erver on the ground. one minute later, the observer finds that the angle of elevation of the plane is 13°24'.
calculate the distance flown by the aircraft in that time.
The speed of the aircraft in km/h

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the size of angle A is 65.7°. Write your answer correct to three significant figures.

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refraction of 1.29. if a beam of light from the sun approaches the atmosphere of titan at an angle of 36.0 degree, what is its angle of refraction?

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38.Hi, I’m having a hard time trying to solve for angles c, e, and h. In the back of the ...

swer is angle c = 65, e = 30, and h = 55. But how do you get to those solutions? Thank you!

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39.Hi, I’m having a hard time getting angles c, e, and h. In the back of the book, the answer ...

e c = 65, e = 30, and h = 55. But how do you get to those solutions? Thank you!

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airplane descending at a speed of 120 miles per hour at an angle 24º below the horizon (left to right). Round all answers to the nearest hundredth.
2.
Forces with magnitudes of 250 pounds and 130 pounds act on an object at angles of 45º and -60º, respectively, with the positive x-axis. Find the direction and magnitude of the resultant of these forces.
3.
Two ropes support a 180-pound weight, as shown in the figure(Attached File). Find the tension in each rope.

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ng the snow. The first child exerts a force of F1 = 11 N at an angle θ1 = 45° counterclockwise from the positive x direction. The second child exerts a force of F2 = 6 N at an angle θ2 = 30° clockwise from the positive x direction.
Find the magnitude (in N) and direction of the friction force acting on the sled if it moves with constant velocity.
magnitude
direction (counterclockwise from the +x-axis)
What is the coefficient of kinetic friction between the sled and the ground?
What is the magnitude of the acceleration (in m/s2) of the sled if F1 is doubled and F2 is halved in magnitude?

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42.John is standing on top of a 60-foot tall building flying a kite. The kite is on a string that ...

feet long and is flying at an angle of 32 degrees above the horizontal, and John is holding the kite at his eye-level, which is 6 feet. How high is the kite off of the ground?

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ding it by its hook, the spring is slightly stretched by the weight of the instrument's case and thus the scale does not read zero with nothing hanging below. Explain why the weight of the spring scale case does not add to the scale reading and is not a factor in determining the y-axis (vertical) spring scale readings in Procedure 1.
2- explain why friction in the wheels of the cart is an error source and why it matters most for the x-scale (parallel force) reading when the incline angle is set to 20 degrees
3-explain why static friction in the spring scale matters the most for the x-axis reading at the 20 degree setting of the incline.

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44.A person views the top of a flag pole at an angle of elevation of 16 degrees. How far away ...

from the pole? (the flag pole is 45ft. tall)

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45.A person views the top of a flag pole at an angle of elevation of 16 degrees. How far ...

erson from the pole? (The flag pole is 45 ft. tall)

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46.Suppose you are at the center of a circle with a radius of 1 mi. How far left or right ...

p or down must you move in order to end up on the boundary of the cycle, with a final angle of 22 degrees in standard position with respect to the horzontal axis?

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izontal. Its upper
end is connected to a wall by
a rope, and its lower end rests
on a rough, horizontal sur-
face. The coefficient of static
friction between the beam
and surface is ms. Assume
the angle u is such that the static friction force is at its
maximum value. (a) Draw a force diagram for the beam.
(b) Using the condition of rotational equilibrium,
find an expression for the tension T in the rope in
terms of m, g, and u. (c) Using the condition of trans-
lational equilibrium, find a second expression for T in
terms of ms, m, and g. (d) Using the results from parts
(a) through (c), obtain an expression for ms
L
u
Figure P12.16
Q/C
S
vertical component of this force. Now solve the same
problem from the force diagram from part (a) by com-
puting torques around the junction between the cable
and the beam at the right-hand end of the beam. Find
(e) the vertical component of the force exerted by the
pole on the beam, (f) the tension in the cable, and
(g) the horizontal component of the force exerted
by the pole on the beam. (h) Compare the solution
to parts (b) through (d) with the solution to parts
(e) through (g). Is either solution more accurate?
19. Sir Lost-a-Lot dons his armor and sets out from the
castle on his trusty steed (Fig. P12.19). Usually, the
drawbridge is lowered to a horizontal position so that
the end of the bridge rests on the stone ledge. Unfor-
tunately, Lost-a-Lot’s
squire didn’t lower the draw-
involv-
ing only the angle u. (e) What happens if the ladder
is lifted upward and its base is placed back on the
ground slightly to the left of its position in Figure
P12.16? Explain.

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C
D
Here is their argument. Given the obtuse angle x, we make a quadrilateral ABCD
with ∠DAB = x, and ∠ABC = 90◦
, and AD = BC. Say the perpendicular bisector
to DC meets the perpendicular bisector to AB at P. Then P A = P B and P C =
P D. So the triangles P AD and P BC have equal sides and are congruent. Thus
∠P AD = ∠P BC. But P AB is isosceles, hence ∠P AB = ∠P BA. Subtracting, gives
x = ∠P AD − ∠P AB = ∠P BC − ∠P BA = 90◦
. This is a preposterous conclusion –
just where is the mistake in the “proof” and why does the argument break down there?

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lake, a person throws two stones, as shown in the drawing. The cliff is 35.8 m high. The two stones described have identical initial speeds of v0 = 16.9 m/s and are thrown at an angle θ = 24.5 °, one below the horizontal and one above the horizontal. What is the distance between the points where the stones strike the water? Neglect air resistance.

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elow the negative x-axis. A = 2.79 units, and B = 1.82 units. Find A + B and A - B.
A + B
magnitude units
direction counterclockwise from the +x-axis
A - B
magnitude units
direction counterclockwise from the +x-axis

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guy wires are to be attached to the tower 40 meters up the tower and anchored 30 meters from the base of the tower. During a wind storm, the tower is bent over between two of the guy wires such that the 2 guy wires are slack but the third is still tight. The angle that the tight wire makes with the ground is 34 degrees. How far off verticil js the tower.

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52.A circle has a radius of .3.5in A sector of the circle has a central angle of 4.3 radians. Find ...

the area of the sector.
Do not round any intermediate computations. Round your answer to the nearest tenth.

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53.A sector of a circle of radius 6.5in has an area of 20in^2 Find the central angle of the sector. ...

not round any intermediate computations. Round your answer to the nearest tenth.

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54.A sector of a circle of radius 6.5in has an area of 20in^2 Find the central angle of the sector. ...

not round any intermediate computations. Round your answer to the nearest tenth.

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ircle, which of the following expressions represents the radian measure of the angle?

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y homework is: “Each interior angle of a regular polygon is 162. How many sides does the polygon have?”

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57.1. A stone, projected with speed v at an angle of elevation alpha from a point O on the top ...

ff, hits
a small object A at a horizontal distance a from O and at a vertical distance h below the level of
O. A hit is also made if the stone is projected from O with speed v at an angle of depression given
by (90-alpha). Prove that
v2 + ga cot(2alpha) = 0 and h + a tan(2alpha)=0.

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ses 22 metres over a horizontal distance of 15 metres.
How long is the direct distance between the highest and lowest point and what is the angle of it?

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59.Hi! I need help with my Netlogo homework, where I need to have turtles create an image of a tree. ...

sically, Tree 1 is just a vertical line, Tree 2 is that line plus two branches, Tree 3 is Tree 2 but with two additional branches on each of the original ones, and so on. Please help! I don't understand how recursions are supposed to be used with this and how to call a previous tree function. Below are additional instructions my teacher gave me.
draw-tree3 [ levels blen bangle]
levels : number of levels
blen : length of each branch
bangle : angle of the branches
The branch length should decrease as the function calls itself. This does NOT mean you decrease a variable, it means that just like fib(n-1) or fib(n-2) you decrease the parameter as you pass it to the next copy.
----Your slider is the STARTING value, the parameter can be changed every time your function is called.
Have the branch decay by multiplying by 0.85 before passing it to the next recursive call.
-When this works, try making the branch decay a slider from 0.1 to 0.9 in increments of 0.01

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1.AU MAT 120 Systems of Linear Equations and Inequalities Discussion

mathematicsalgebra Physics