Answer:
Explanation:
From the given information:
The car's initial velocity = 4 m/s in the direction of east 45° due north
We can therefore express the vector of this component form as:
v₁ = (4 m/s) (cos(45º)i + sin(45º)j)
v₁ = (2.83 m/s)i + (2.83 m/s)j
Similarly, the car's final velocity = 4 m/s in the direction of the east side 10º north
∴
v₂ = (4 m/s) (cos(10º) i + sin(10º) j)
v₂ = (3.94 m/s) i + (0.695 m/s) j
From the first equation of motion
v = u + at
Making acceleration "a" the subject of the formula, we have:
a = (v - u )/t
a = (v₂ - v₁)/t
a = (0.370 m/s²) + (-0.711 m/s²)
The magnitude of the avg. acceleration is:
[tex]|| a||= \sqrt{(0.370 m/s^2)^2 + (-0.711 m/s^2)^2)[/tex]
[tex]|| a||= 0.8015 \ m/s^2[/tex]
And;
The direction can be determined by taking the tangent of the acceleration:
i.e.
[tex]tan(\theta) = \dfrac{-0.711 m/s^2}{ 0.370 m/s^2}[/tex]
[tex]tan(\theta) = -1.9216[/tex]
[tex]\theta = tan^{-1} ( -1.9216 )[/tex]
[tex]\mathbf{\theta = -62.51 ^0}[/tex]
Thus, the direction of the angle is approximately S 62.51º E
1. What is muscle fatigue
Joel the firefighter, standing 45 m from a burning building, directs a stream of water from a ground level fire hose at an angle of 25 degrees above the horizontal. The Vi of the stream as it leaves the hose is 55 m/s. What is the water’s Vix?
6. What is the name of the symbol A?
What does this symbol mean when
used before another symbol in an
equation?
"at symbol"
The at sign, "at symbol", is normally read aloud as "at"; it is also commonly called the at symbol or commercial at. It is used as an accounting and invoice abbreviation meaning "at a rate of" (e.g. 7 widgets "at symbol" £2 per widget = £14), but it is now seen more widely in email addresses and social media platform handles.
Use absolute dating in a sentence
Answer:
scientists will use absolute dating to find how old a fossil exactly is.
Answer:
So the answer is scientists will use absolute dating to actually find how old a fossil exactly is. Hope it helps!
Calculate the net acceleration acting on a 40 kg box being pushed across a horizontal floor. There is a 400 N normal force, a 195 N applied force, and a 55 N force of friction resisting any sliding motion. Assume g = 10 m/s ^ 2
Answer:
Net acceleration = 3.5m/s²
Explanation:
Given the following data;
Mass, m = 40kg
Normal force, Fn = 400N
Applied force, Fapp = 195N
Force of friction, Ff = 55N
Mathematically, the net force is given by the formula;
[tex] F_{net} = F_{app} - F_{f}[/tex]
Substituting into the equation, we have;
[tex] F_{net} = 195 - 55 [/tex]
[tex] F_{net} = 140 [/tex]
To find the acceleration;
[tex] F_{net} = ma[/tex]
Making acceleration "a" the subject of formula;
[tex]a = \frac {F_{net}}{m} [/tex]
[tex]a = \frac {140}{40} [/tex]
Net acceleration, a = 3.5m/s²
1. An object accelerates 5.0 m/s when a force of 20.0 newtons is applied to it.
What is the mass of the object?
2. An object accelerates 2.0 m/s when a force of 12.0 newtons is applied to it.
What is the mass of the object?
3.An object accelerates 16.3 m/s when a force of 4.6 newtons is applied to it.
What is the mass of the object?
Answer:
1. mass = 4
2. mass = 6
3. mass = 0.28
Explanation:
All these questions require the equation:
F=ma
Where F is force, m is mass and a is accleration. If we do some algebra, we can modify this equation to find mass by dividing both sides by a.
[tex]F=ma --> \frac{F}{a} =\frac{ma}{a} --> \frac{F}{a} = m[/tex]
The a on the left side cancels out and leaves us with [tex]\frac{F}{a}=m[/tex]. Now we can plug in the numbers given to find the mass.
1.[tex]\frac{F}{a} =m-->\frac{20.0}{5.0}=m-->m=4[/tex]
2.[tex]\frac{F}{a} =m -->\frac{12.0}{2.0} =m -->m=6[/tex]
3.[tex]\frac{F}{a}=m--> \frac{4.6}{16.3}=m--> m=0.28[/tex]
So the answers are m=4, m=6, and m=0.28.
which of the following is a form of kinetic energy?
Answer:
hope this helps.
Explanation:
______
is current was invented
One of the most important discoveries relating to current was made accidentally by Hans Christian Ørsted in 1820, when, while preparing a lecture, he witnessed the current in a wire disturbing the needle of a magnetic compass.
Explanation:
One of the most important discoveries relating to current was made accidentally by Hans Christian Ørsted in 1820, when, while preparing a lecture, he witnessed the current in a wire disturbing the needle of a magnetic compass.
Water is falling from height of 84 m. If half of the energy of water is converted into heat, the increase in the temperature of the water at the bottom is:
Answer:
what are the options??? to choose the answer from?
Explanation:
Answer:
so its 0.098*C
Explanation:
Let m gram be the mass of water.
Then potential energy of water is:
P.E.=mgh
=m×980×8400
Since potential energy is converted to kinetic energy
P.E.=K.E.
K.E.=m×980×8400
Half of kinetic energy is converted into heat.
Then heat energy:
Heat energy=
2
1
×m×980×8400
Convert joule into calories
heat=
4.2×10
7
m×980×4200
=m×0.098
But heat is:
Heat=msΔT
∴msΔT=m×0.098
m×1×ΔT=m×0.098
ΔT=0.098C
Rise in temperature of water is =0.098
∘
C .
Your cat has a mass of 4.5 kg. He is sitting on top of the refrigerator ready to pounce. The refrigerator is 1.8 meters tall. What is his potential energy?
Answer:
79.38 J
Explanation:
W = mgz = 4.5*9.8*1.8 (with g = 9.8 m/s^2)
= 79.38 K
The symbol used for magnetic field is: Q B F θ
Answer:
B
Explanation:
The symbol of the magnetic field is given as B.
The magnetic field is a force field.
It is a region of space where the action of the magnetic force is felt. The magnetic force is expressed as a non-contact force. One expression of this field is the geomagnetic field which covers the earth. The magnetic field can be produced by the action of the electric field.what energy changes take place in a glowing electric bulb
Answer:
electrical energy change into heat and light energy.
What includes the hippocampus, amygdala and hypothalamus?
Answer:
the limbic system has its input and processing side (the limbic cortex, amygdala and hippocampus) and an output side (the septal nuclei and hypothalamus).
Explanation:
hope it helps
Answer:
limbic system
Explanation:
The "limbic system" is situated under the cerebrum. It is responsible for the person's emotions and memories. Its primary structures include: hippocampus, amygdala, thalamus and hypothalamus.
The "hippocampus" is responsible for obtaining new memories. It is also associated with mental functions like "learning."
The "amygdala" is responsible for emotional memories.
The "thalamus" and "hypothalamus" are responsible for reactions towards the emotions.
The gas-phase reaction between nitrogen and oxygen was carried out in a device designed to maintain constant pressure. There are two cylinders of equal volume with a reaction arrow between them. The cylinder on the left has two molecules of O 2 and two molecules of N 2. The cylinder on the right has four molecules of N O. A constant pressure is applied to both cylinders Write the balanced chemical equation for the reaction between nitrogen oxygen. Include physical states.
Answer:
2N₂(g) + 2O₂(g) ----> 2NO(g)
Explanation:
Gaseous nitrogen and gaseous oxygen reacts in a molar volume ratio of 1 : 1 to produce nitrogen (ii) oxide.
In the reaction, two molecules of nitrogen gas combines with two molecules of oxygen gas in the cylinder to form two molecules of nitrogen (ii) oxide. The equation of the reaction is given below:
2N₂(g) + 2O₂(g) ----> 2NO(g)
Nitrogen (ii) oxide is formed naturally during lightning bolts. The heat released the lightning flashes causes the nitrogen and oxygen in air to combine to form nitrogen (ii) oxide. The nitrogen (ii) oxide formed however, quickly reacts with more oxygen to form nitrogen(ii) oxide.
Nitrogen (ii) oxide is a colorless, poisonous gas. It is slightly denser than air and almost insoluble in water. it is also neutral to litmus.
The balanced chemical equation for the reaction between nitrogen and oxygen is:
2N₂(g) + 2O₂(g) —> 4NO(g)
The equation between nitrogen and oxygen can be written as follow:
N₂(g) + O₂(g) —> NO(g)
The above equation can be balance as illustrated below:
There are 2 atoms of O on the left side and 1 atom on the right side. It can be balance by writing 2 before NO as shown below:
N₂(g) + O₂(g) —> 2NO(g)
Multiply the equation by 2, we have:
2N₂(g) + 2O₂(g) —> 4NO(g)The equation is balanced!
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Vinegar contains 5.00% acetic acid (by mass) and its density is 1.02g / mL
What is the mass of acetic acid, in measured grams, in 185 mL of vinegar?
The mass of acetic acid would be 9.435 grams, in 185 mL of vinegar if Vinegar contains 5.00% acetic acid (by mass) and its density is 1.02g / mL
What is density?It can be defined as the mass of any object or body per unit volume of the particular object or body. Generally, it is expressed as in gram per cm³ or kilogram per meter³.
Generally, the density of any substance is expressed by the greek symbol ρ. The density is the reciprocal of the specific volume of any substance.
.
By using the above formula for density
ρ = mass / volume
As given in the problem Vinegar contains 5.00% acetic acid (by mass) and its density is 1.02g / mL
The total mass of the vinegar
mass= ρ×volume
=1.02×185
=188.7
As given Vinegar contains 5.00% acetic acid (by mass)
the mass of acetic acid = 5×188.7/100
=9.435 gram
Thus, the mass of acetic acid comes out to be 9.435 grams
Learn more about density from here
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please answer this soon
Answer:
lava plateau-material fills in valleys
caldera goes-bowl shaped depression
volcanic soil-rich in nutrients
shield volcano-wide summit, gentle slope
cinder cone-made of pieces of lava
Explanation:
The properties of materials are defined by the _____________ of the atoms in the compound.
A. All of these
B. Arrangement
C. Type
D. Charge
If the total force on the object is not zero, its motion will
A person standing in a canoe exerts a force of 700 N to
throw an anchor over the side. Find the acceleration of the canoe if the total mass of the canoe and the person is 100 kg.
Force = 700 N
Mass = 100 kg
Acceleration = ____?
Answer :
[tex]f \: = m \times a[/tex]
700 = 100 × a
700 / 100 = a
7 m/s² = a ✅
What are one of the ways the atmosphere recycle gases through interactions with the biosphere?
Through the usage of nitrogen and release oxygen into the atmosphere from plants.
Though the process photosynthesis
O Through available sunlight and release oxygen into the atmosphere.
The mineral content in the ground that plants rely on and release carbon dioxide into the atmosphere.
Answer:
Though the process photosynthesis
Explanation:
One of the important ways by which the atmosphere recycle gases through interactions with the the biosphere is by photosynthesis.
The biosphere is the living component on the earth. The atmosphere is the gaseous envelope round the earth.
Photosynthesis is the process whereby green plants manufacture their food using carbon dioxide and water in the presence of sunlight to produce glucose and oxygen gas. This way, atmospheric carbon dioxide is exchanged for oxygen gas.This way, there is a sustained interaction between the atmosphere and biosphere.
Answer:
B. Through the process photosynthesis
Explanation:
:)
*
Plants need more than water, sunlight and carbon dioxide to survive
True or false ?
Answer:
true
Explanation:
or they will die to death
the answer is true. they also need oxygen
How does biofuel use differ from solar, wind, and geothermal energy use? a. Biofuels can have a more widespread use. b. Biofuels are less damaging to the environment. c. Biofuels are not a renewable energy source. d. Biofuels cannot be used as an energy source.
Answer:I think it b
Explanation:
The correct answer is option (a) Biofuels can have a more widespread use.
Biofuel is a fuel that is produced from biological process like anaerobic and agriculture digestion. It can be derived directly from plants, agricultural, commercial, domestic and agricultural waste. It has a more widespread use as compared to solar, wind and geothermal energy. Uses of biofuel.
It can be used as an alternative dieselIt can be used for power generation in backup systems when emission is most importantBioheat can be generated from biofuel It can be used to clean oil spills and grease It can be used as a lubricant It can be used as a fuel in stove for cooking It can be used to remove paint and adhesivesHope this helped
Elements that are what tend to be in the what state at room temperature.
Answer:
hot
Explanation:
cause the room temperature is higher
It is determined that a certain light wave has a wavelength of 3.012 ×10−12 m. The light travels at 2.99 ×108 m/s. What is the frequency of the light wave? (Round your answer to three significant figures.)
Answer:
Explanation:
velocity=frequency*wavelength
velocity = 2.99*10^8 m/s
frequency = ?
wavelength = 3.012*10^-12
2.99*10^8m/s = (f)(3.012*10^-12)
f=9.58*10^19 Hertz
A cliff diver running 3.60 m/s dives out horizontally from the
edge of a vertical cliff and reaches the water below 2.00 slater. How far from the base of the cliff does the diver hit the water?
Answer: 7.20 m
Explanation:
A limousine driver notices a stop sign while traveling 55 km/h. What
is the acceleration (in m/s) of the limousine if it comes to a complete
stop in 4.3 52
Interpret the sign of the acceleration - what does it mean?
Answer:
a= -12.64 m/s²
The negative sign means deceleration, which shows that the limousine was slowing down to stop.
Explanation:
The formula for acceleration is :
a= change in velocity / time
[tex]a=v_f-v_i/t\\[/tex]
where;
[tex]v_f=0km/h\\\\v_i=55km/h\\\\t=4.352s[/tex]
a= 0-55 /4.352 = -55/4.352 = -12.64 m/s²
The negative sign means deceleration, which shows that the limousine was slowing down to stop.
What is the dependent variable for the following experiment?
Kim notices that Brad's Bread does not mold after a week in an open bag. Walter's Wonderful White produces a layer of black "fur" in the same length of time in its
open bag
O Amount of time
Type of bread
Amount of mold
Open bag
Answer:
Amount of mold
Explanation:
the dependent variable depends on the independent variable. the amount of mold changes if the bread is opened or not. the independent variable is what can change.
A block attached to a string moves in a circle as shown above. Which of the arrows in the illustration above best shows the direction of the angular velocity of the block as it turns in the circle? Question 1 options: Arrow A Arrow B Arrow C Arrow D
Answer:
D (maybe)
Explanation:
I have this question too but I think it might be D just let me check
Edit: no it wasn't D sorry
How much tension must a rope withstand if it is used to accelerate a 960 kg car horizontally along a frictionless track at 1.20 m/s²?
Answer:
The tension of the rope is 1152 N
Explanation:
Force
Newton's second law states that the acceleration of an object is directly proportional to the net force and inversely related to its mass.
The law can be written as:
F = m.a
The rope must apply a force F to accelerate the car of m=960 Kg at [tex]a=1.2~ m/s^2[/tex]. Given the track is frictionless, all the force applied produces acceleration, thus:
[tex]F = 960~Kg\cdot 1.2~ m/s^2[/tex]
F = 1152 N
The tension of the rope is 1152 N
What is the total distance of a student who walks 5 blocks west, 5 blocks north, 6 blocks east, and then 5 blocks south?
Answer:
Explanation:
The student walks;
5 blocks west;
5 blocks north
6 blocks east
5 blocks south
Now, distance is sum of all the length of the path covered.
Distance = 5 blocks + 5 blocks + 6 blocks + 5 blocks = 21 blocks
The total distance travel by the student is 21 blocks.