Proper vector notations are V = 42i km/hr, r = 6.5j m, and a = -1.9j m/s².
In physics, a vector is a quantity with both magnitude and direction. It is typically represented by an arrow whose length is proportional to the magnitude of the quantity and whose direction is the same as that of the quantity.
A) Let us assume that the west direction is the positive X-axis.
In vector notation, the X-axis is denoted by "i". So, the westward velocity of 42 km/hr will be written as
V = 42i km/hr
B) Let us assume that the North direction is the positive Y- axis.
In vector notation, the Y-axis is denoted by "j". Also, the position vector is represented by the letter 'r'. So position 6.5 measured in m, that is North of the reference point will be written as
r = 6.5j m
C) Let us assmue thaat the downward direction is negative Y-axis.
In vector notation, the Y- axis is denoted by "j". so, the downward acceleration measured in m/s2 that has a magnitude of 1.9 will be written as
a = 1.9 × (-j) m/s²
a = -1.9j m/s²
So, proper vector notations are V = 42i km/hr, r = 6.5j m, and a = -1.9j m/s².
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What is the depth of water in a tank with 300,000 gallons of water at 70F when the pressure gauge at the bottom of the tank reads 23 psig?
The depth of water in the tank is determined as 16.2 m.
What is hydrostatic pressure?Hydrostatic pressure is the pressure exerted by a fluid at equilibrium at any point of time due to the force of gravity.
The hydrostatic pressure of the water column is calculated as follows;
P = ρgh
where;
ρ is density of the waterg is acceleration due to gravityh is vertical height or depth of the waterh = P/ρg
The given parameters;
Pressure of the water, P = 23 psig = 158579 N/m²g is acceleration due to gravity = 9.8 m/s²ρ is density of water = 1000 kg/m³h = (158579) / (1000 x 9.8)
h = 16.2 m
Thus, the depth of water in the tank is determined as 16.2 m.
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The position of a squirrel running in a park is given by r⃗ =[(0.280m/s)t+(0.0360m/s2)t2]i^+(0.0190m/s3)t3j^. At t = 4.00 s , how far is the squirrel from its initial position?
The position vector is obtained as r = 1.12 k + 0.58 i + 1.22 j.
What is the position?Let us consider the movement of the squirrel. We know that the position of the squirrel is defined by the equation; r⃗ =[(0.280m/s)t+(0.0360m/s2)t2]i^+(0.0190m/s3)t3j^. We can see that this equation is what defines the position of the squirrel in the three cartesian dimensions as shown in the question.
We now have the position as required at the instant where t = 4.00 s being obtained as; r⃗ =[(0.280m/s)(4)+(0.0360m/s2)(4^2) ]i+(0.0190m/s3)(4)^3j. We now finally obtain the position of the body as required as being;
r = 1.12 k + 0.58 i + 1.22 j
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Rannie travelled by train from New York to New Jersey She travels 350 kilometers to the north. But, then the track turns back to south 125 kilometers. Calculate Radha's total displacement using displacement formula?
Answer:
225 km north
Explanation:
Displacement = 350 km north + 125 km south
= 350 km north - 125 km north
= 225 km north
In science, volume may be measured in
O centimeters
O milliliters
O kilograms
O kilometers
Answer: milliliters
Explanation:
centimeters and kilometers are measurements of length/distance. Kilogram is a measurement of weight, and millimeters is a measure of how much space an object takes up.
The circuit diagram below shows the locations of four switches. Which switch configuration creates a short circuit?
Answer:
A
Explanation:
When switches 1 and 2 are 'on' or 'closed' the circuit becomes a short
Which energy transfer occurs when a cube of ice is placed in a glass of
water?
OA. The nuclear energy in the water molecules is released from the ice
into the liquid water.
B. Thermal energy is transferred from the liquid water to the ice.
C. The chemical energy of the ice is transferred to the liquid water.
D. Gravitational potential energy is transferred from the liquid water
to the ice.
SUBMIT
Answer:
B
Explanation:
The ice begins to melt which requires it absorb heat from the water...the water gets cooler and the ice gets smaller
Which term applies to what happens to visible light when it interacts with transparent glass?
The term is scattering of lights when visible light interacts with transparent glass.
Light interacts with glass atoms when it strikes any surface, even transparent ones, causing it to change direction repeatedly. This process is known as the scattering of light. While some light is reflected throughout the process, the majority of light passes through the glass.
The shorter the wavelength and the higher the frequency, the stronger the scattering due to the wave shape of the lines and their intersections with the particles. The more wavy lines you have, the more likely they are to intersect with a particle. On the other hand, the longer the wave, the lower the frequency, the straighter it is, and the less likely it is to hit the particle.
The curvature of color light is visible during the day because of the refraction of light and total internal reflection. Waves of sunlight produce different colors in different directions. The Rayleigh scattering theory is based on the red color of the sun in the morning and the blue color of the sky.
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A cannon sends a projectile towards a target a distance 1270 m away. The initial velocity makes an angle 26◦ with the horizontal. The target is hit. The acceleration of gravity is 9.8 m/s^2. How high is the highest point of the trajectory?
(Note the magnitude of the initial velocity is 125.6749804)
The maximum height achieved by the projectile shot at an angle of 26° with the horizontal is 155.79 meters.
What is Projectile Motion?
Projectile motion is a form of motion experienced by an object or particle that is projected near earth's surface and moves along a curved path under the action of gravity only.
Given is a projectile projected towards a target a distance 1270 m away. Initial velocity of the projectile is 125.6 m/s and makes an angle 26° with the horizontal.
The vertical component of the initial velocity →
u[y] = 125.6 sin(26°) = 125.6 x 0.44 = 55.26 m/s.
The horizontal component of the initial velocity →
u[x] = 125.6 cos(26°) = 125.6 x 0.89 = 111.78 m/s
Horizontal distance covered →
h[x] = 1270 m
Time taken to travel the horizontal range →
t = h[x] / u[x]
t = 1270 / 111.78 = 11.36 seconds
The time at which the height is maximum →
t [max] = 11.36/2 = 5.68 s
Using Newton's second law of motion for vertical direction -
S[y] = u[y] t + 1/2 a[y] t²
At t = t [max], the vertical height will be maximum -
S[y] (max) = 55.26 x 5.68 - 1/2 x 9.8 x 5.68 x 5.8 =
S[y] (max) = 313.87 - 158.08
S[y] (max) = 155.79 meters.
Hence, the maximum height achieved by the projectile shot at an angle of 26° with the horizontal is 155.79 meters.
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I drop a ball from rest , it falls for 7 sec. What speed did the ball reach
Answer:
-68.6m/s
Explanation:
after 1 second its velocity is -9.8 m/s. after 2 seconds its velocity is -19.6 m/s. after 3 seconds its velocity is -29.4 m/s.
so 7 multiplied by the velocity for 1 second will give you the answer.
Which technique is used to check the meaning of certain nonverbal behaviors of the
speaker?
1) reflecting
O2) questioning
3) validating
4) looking away
Answer:
2
Explanation:
answer to the question is written up
The technique that is used to check the meaning of certain nonverbal behaviors of the speaker is looking away. The correct option is 4.
What is nonverbal behavior?Nonverbal communication refers to the transmission of messages or signals via nonverbal platforms such as eye contact, facial expressions, gestures, posture, and body language.
It entails using social cues, kinesics, distance and physical environments/appearance, voice, and touch.
Nonverbal communication methods include your posture, facial expressions, and eye contact. We all use these cues in everyday conversation, even if unconsciously.
When people are thinking, hesitating, or speaking in a non-fluent manner, they tend to look away.
This behavior most likely serves two purposes. The first is to psychologically protect themselves from the embarrassment of being judged for not proceeding.
Thus, the correct option is 4.
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At the beginning of the 100 meter dash, a runner accelerates at a rate of 5 m/s 2 until he reaches his maximum speed of 10 m/s . How long does it take him to reach his maximum speed?
Answer:
V = a * t for uniform values
t = V / a = 10 m/s / (5 m/s^2) = 2 sec
HELP ASAP
Referring to the map of the temperature field in the room, what was the largest variation in temperature?
1.) 2 degrees
2.) 4 degrees
3.) 1 degree.
4.) none of the above
A man , standing on the top of Tower , throws vertically a ball , with initial velocity of 15 m/s. Assuming that, the coordinates of the inertial reference is attached to the hand of the man, such that the origin coincides with the center of his hand, a) What is the equation describing the motion of the ball
The equation describing the motion of the ball is determined as 15t + 4.9t².
What is equation of motion?This is the equation that describes the motion of an object is known as equation of motion.
The equation describing the motion of the ball is determined as follows;
y = vt + ¹/₂gt²
where;
y is the vertical height of fallt is the time of motiong is acceleration due to gravity = 9.8 m/s²y = 15t + 4.9t²
Thus, the equation describing the motion of the ball is determined as 15t + 4.9t².
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Michael Jordan had the longest hang time record of all NBA players. It was because he:
A- was lighter in weight
B- threw the ball with higher precision
C- did not jump till he was below the hoop
D- jumped up with a faster speed
Do you think that something can freeze when it is hot? Why or why not?
Answer:
yes
Explanation:
because if you put a hot object in a cold place the energy from the hot object transfers to the cold air around it and will eventually get such a low temperature that it freezes.
I don’t get how to answer this question
The frequency of the radiation is 3.27×10⁻¹⁴ Hz.
What is frequency of a wave?The frequency of a wave is the number of complete oscillation made by that wave in one seconds. The S.I unit of frequency is Hertz
To calculate the frequency of the radiation, we use the formula below.
Formula:
f = v/λ.................... Equation 1Where:
f = Frequency of the radiationv = Velocity of the radiationλ = Wavelength of the radiationFrom the question,
Given:
v = 3.00×10⁸ m/sλ = 9.17×10⁻⁷ mSubstitute these values into equation 1
f = 3.00×10⁸/9.17×10⁻⁷f = 3.27×10⁻¹⁴ HzHence, the frequency of the radiation is 3.27×10⁻¹⁴ Hz.
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under what conditions do plasma exist .?
The plasma exists in the condition of the excited state of matter.
The atmosphere stops being made of gas at a height of about 80 kilometers above the surface of the Earth. Instead, it is composed of ionized gas, which has a balanced ratio of neutral particles, positive ions, and electrons. The name of this state is plasma.
Despite being referred to as the "fourth state of matter," many astrophysicists believe it to be the "first" state because it was the first to form right after the Big Bang.
Energy is required to remove electrons from atoms in order to create plasma. Different types of energy, such as heat, electricity, or light, are possible (ultraviolet light or intense visible light from a laser). Plasmas combine back into neutral gas due to insufficient sustaining power.
Therefore the plasma state of matter exist in energized form and required energy to continue existing which can be provided by many source and form of energy.
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3. Sami pops a helium balloon at a birthday
party. What will happen to the particles of
helium that were in the balloon? sc.8.P.8.1
A The particles will disappear.
B The particles will move together.
The particles will spread out evenly
within the room.
The particles will stick together and sink
to the floor.
The particles of helium that were in the balloon will spread out evenly within the room.
When Sami pops a helium balloon at a birthday party then the particles of helium will just mix with air. The helium gases lighter dense than the air.
Air consists mostly of nitrogen and oxygen but there are also some traces of carbon dioxide and noble gases in air, and helium is one of those noble gases.
Helium -
It is a chemical element with the symbol of He. Its atomic no. is two. It is used for medicine, scientific research, refrigeration, gas for aircraft aircraft. It is a noble gas.The particles of helium that were in the balloon will spread out evenly within the room.
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is mass a physical property of matter
Answer:
yes
Explanation:
A book had 250 J of potential energy when it is on a shelf that is 4.2 m high. What is the mass of the book?
An elevator moves upward while increasing speed. Which of the following statements comparing the force of the cable on the elevator T and the weight of the elevator W is correct?
Answer:
See below
Explanation:
Downward force = weight = mg where g = accel of gravity 9.81 m/s ^2
the tension force acting UPWARD to cause the elevator to accelerate upward is F = T=m(a+g) where ' a ' is the UPWARD acceleration ...the tension must be equal to
the weight of the object + mass of object* acceleration
At a certain temperature, a rod is hung from an aluminium frame. A small gap exists between the rod and the floor. The frame and rod are heated uniformly. Explain whether the rod will ever touch the floor, assuming that the rod is made from (a) aluminium and (b) lead.
Answer:
The aluminum rod will never touch the floor since both the frame and the rod expand at the same rateThe lead rod will touch the floor if both frame and rod are heated long enough since the coefficient of linear expansion of lead is greater than the coefficient of linear expansion of aluminumExplanation:
What has to be done to nitrogen to make it turn into a liquid?
Answer: Hot weather concreting
Liquid nitrogen has also been used as a method for cooling concrete for over twenty years. ...
LN is produced by compressing and cooling nitrogen gas to a point below its evaporation point of about − 196 °C [− 320 °F].
Explanation:
Which of the following statements are possibly true about an object that is accelerating?
I. It is slowing down
II. It is changing directions at a constant speed
III. It is changing directions while slowing down
Question 10 options:
I only
I, II, and III
I and III only
II and III only
Answer:
II and III only
Explanation:
All III of those are true
It takes less effort to lift a piano with a pulley. If the piano is lifted 3 meters, then...
It takes less effort to lift a piano with a pulley. If the piano is lifted 3 meters, then the distance traveled by the load is 3 m.
What is output force?Output force is the force exerted on an object by a simple machine.
If the output force is greater than the input force, the mechanical advantage is greater than 1.
The mechanical advantage ratio is output force divided by input force. The larger the mechanical advantage, the easier it is to do work.
Mathematically, the output force of a simple machine is given as;
output force = load x distance moved by load
Thus, it takes less effort to lift a piano with a pulley. If the piano is lifted 3 meters, then the distance traveled by the load is 3 m.
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An average person is 175 cm tall. How
many people could you stack one on top of
another to reach the top of the CN Tower
(553 m)?
The number of people you will stack to reach the top of the CN Tower (553 m) is 316 people
Hor to convert 175 centimeters to metersWe'll begin by converting 175 cm to m. This can be obtained as illustrated below:
100 cm = 1 m
Therefore,
175 cm = (175 cm × 1 m) / 100 cm
175 cm = 1.75 m
Thus, 175 cm is equivalent to 1.75 m
How to determine the number of people neededThe number of people needed to be stacked to get to the top of the CN tower can be o btained asfollow:
Height of tower = 553 mHeight of a person = 1.75 mNumber of people needed =?Number of people needed = Height of tower / height of a person
Number of people needed = 553 / 1.75
Number of people needed = 316 people
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Recording a change in which of the following would be an
example of a qualitative observation?
a velocity
b color
c force
d power
Chec
The color change would be an example of qualitative observation.
What is qualitative observation?The approach of conducting research known as qualitative observation uses subjective methodologies to collect information or data. Although qualitative observation takes a lot longer than quantitative observation because the goal is to compare quality differences, the research is vast and much more individualized.
The five main senses—sight, smell, touch, taste, and hearing—and how they function are the topics of qualitative observation. This involves attributes rather than measures or numbers.
Hence, recording a color change would be an example of a qualitative observation.
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please help ! it’s not the last one <3
Answer:
I think it's initial vertical velocity but I may be wrong
Which of the following must happen in order for atoms to bond either ionically or covalently with one another?
A The valence shells of all atoms must be filled after the bonding occurs
b The chemical properties of the atoms must be satisfied
c The ions must have different charges
d The resulting compound must follow ionic naming conventions
Which of the following must happen in order for atoms to bond either ionically or covalently with one another?
a: The valence shells of all atoms must be filled after the bonding occurs
In order for atoms to bond either ionically or covalently with one another the valence shells of all atoms must be filled after the bonding occurs.
What is an atom?An atom is defined as the smallest unit of matter which forms an element. Every form of matter whether solid,liquid , gas consists of atoms . Each atom has a nucleus which is composed of protons and neutrons and shells in which the electrons revolve.
The protons are positively charged and neutrons are neutral and hence the nucleus is positively charged. The electrons which revolve around the nucleus are negatively charged and hence the atom as a whole is neutral and stable due to presence of oppositely charged particles.
Atoms of the same element are similar as they have number of sub- atomic particles which on combination do not alter the chemical properties of the substances.
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Cliff divers at Acapulco jump into the sea from a
cliff 30.1 m high. At the level of the sea, a rock
sticks out a horizontal distance of 13,06 m. The
acceleration of gravity is 9.8m/s². With what
minimum horizontal velocity must the cliff divers
leave the top of the cliff if they are to miss the
rock?
Theacceleration of gravity is 9.8m/s² so velocity = 5.269.
The rate at which an object's position changes when observed from a specific point of view and when measured against a specific unit of time is known as its velocity.
A body or item will have a pressure equivalent to atmospheric pressure when the external pressure pressing on it ceases to exist. In this instance, point A is under some pressure from the liquid. The pressure at point A becomes equal to atmospheric pressure when we tilt the container.
Given, h= 30.1 m
x = 13.06 m
g = 9.8
h = 1/2 gt^2
x = v √(2h)/g
13.06 = v √(2)(30.1)/9.8
13.06 = v (2.47847879613)
13.06 / 2.47847879613 = v
v = 5.269.
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