The speed of raindrops hitting your face when thy fall vertically at 3m/s while you’re running horizontally at 4 m/s is 5 m/sec.
What is the calculation of the given problem?Consider one drop of rain falling vertically. The velocity of the rain and the velocity of the man both are taken as vectors.
The result of the above statement is the vector is sum.
Let us consider two vectors : a and b.
Then a and b are added.
The magnitude of the sum is the root of the sum of squares of the individual vectors.
We know that
a = 3
b = 4
On substituting the given values in the above equation, we get as
Underroot of 3^2 + 4^2 we get 25.
Therefore the square root of 25 is 5
Therefore, it hit fast your face is 5 m/s.
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Yuki is studying the diet of owls. While dissecting owl pellets, she takes detailed notes about the bones that she finds. She organizes the bones she finds into different types of animals. When she finishes, she creates a food web to show what she has learned. Which scientific skills did Yuki use?
Check all that are true.
A. classifying
B. observing
C. evaluating
D. making models
Study the works of shannon and nyquist on channel capacity. each places an upper limit on the bit rate of a channel based on two different approaches. how are the two related?
in that scenario, the signaling rate is exclusively constrained by the channel bandwidth according to Nyquist's analysis of the theoretical capacity of a noiseless channel.
• What signaling rate can be accomplished over a channel with a certain bandwidth, a given signal power, and in the presence of noise was addressed by Shannon.
• Channel without errors The temperature of a material is defined as the average kinetic energy of its atoms or molecules, plus any other energy that can be transferred. In theory, the lower limit of temperature would be when all particles have zero energy
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A reconnaissance plane flies 545 km away from
its base at 568 m/s, then flies back to its base
at 852 m/s.
What is its average speed?
Answer in units of m/s.
Considering the definition of speed, the average speed of the plane is 681.6 m/s.
Speedspeed is a quantity that expresses the relationship between the space traveled by an object.
In other words, speed can be defined as the amount of space traveled per unit of time with which a body moves and can be calculated using the expression:
speed= distance traveled÷ time
Average speed in this caseIn this case, you know:
Part 1 of the trip: A reconnaissance plane flies 545 km (545,000 m) away from its base at 568 m/s, Part 2 of the trip: The reconnaissance plane flies back to its base at 852 m/s.So, in both cases you know the distance traveled and the speed. Therefore, you must calculate the time in which each part of the trip is made, in order to later know the total time. For this, the definition of speed is used:
Part 1 of the trip: 568 m/s= ÷ time → 568 m/s× time= 545,000 m → time= 545,000 m÷ 568 m/s → time= 959.5070 sPart 2 of the trip: 852 m/s= 545,000 m÷ time → 852 m/s× time= 545,000 m → time= 545,000 m÷ 852 m/s → time= 639.6714 sSo, you know:
total distance traveled= 545,000 m + 545,000 m= 1,090,000 mtotal time= 959.5070 s + 639.6714 s= 1599.1784 sReplacing in the definition of speed:
speed= 1,090,000 m÷ 1599,1784 s
speed= 681.6 m/s
In summary, the average speed of the plane is 681.6 m/s.
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An experiment is set up in a lab. Three different
materials - copper, iron, and glass are all placed
with one end of each rod in a pan of hot water.
Each rod has an equivalent amount of wax on the
opposite end. After a few minutes, each of the
wax beads have melted at different times.
What is the dependent variable in the
experiment?
A.time
B.rate of convection
C.rate of radiation
D.rate of conduction
Answer:
B.rate of convection
Explanation:
A bush pilot wants to fly her plane to a lake that is 250.0 km [N30.0°E] from her starting point. The plane has an air speed of 210.0 km/h, and a wind is blowing from the west at 40.0 km/h. (a) In what direction should she head the plane to fly directly to the lake? (b) If she uses the heading determined in (a), what will be her velocity relative to the ground? (c) How long will it take her to reach her destination?
(a) The plane must fly at an angle of N 35.5° E to immediately approach the lake.
(b) The velocity of the plane is 245.6 km/h.
(c) The time taken is 1.02 hours.
Lake displacement from the starting position, D = 250 km N 30° E
As the x-axis, let's choose the line connecting the plane's beginning point with the lake, which is located in the direction N 30° E.
D = 250 ^i km
The plane's airspeed,
v(p) = 210 km/h
From the east comes the wind. Therefore, using the coordinate system described above, the wind speed,
v(w) = 40 [ cos ( − 30° ) ^i + sin ( − 30°) ] km/h
v(w) ≈ ( 36.64 ^i − 20 ^j ) km/h
(a) To eliminate the perpendicular component of the wind velocity, move the plane in the direction θ with respect to the x-axis.
v(p) = 210 ( cos(θ) ^i + sin(θ) ^j ) km/h
In order for the y-component of the plane velocity to cancel out the y-component of the wind velocity, the correct angle must be calculated.
Therefore,
210 sin(θ) km/h = 20 km/h
sin(θ) = 20 / 210
θ ≈ 5.5°
Therefore, the aircraft should fly 5.5 degrees off of the x-axis. This means that the plane must fly at an angle of N 35.5° E to immediately approach the lake.
(b) The velocity relative to the ground is:
v = v(w) + v(p)
v = 210 ( cos 5.5° ^i + sin 5.5° ^j ) km/h + ( 36.64 ^i − 20 ^j ) km/h
v ≈ ( 209 ^i + 20 ^j ) km/h + ( 36.64 ^i − 20 ^j ) km/h
v = 245.6 ^i km/h
The plane is moving at a speed of 245.6 km/h relative to the ground.
(c) From the starting point, the time taken to reach the lake is:
time = distance/ speed
T = 250 km / 245.6 km/h
T ≈ 1.02 h
Therefore, from the starting position, it will take around an hour to get to the lake.
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If a system does 37.0 kj of work on its surroundings and releases 105 kj of heat, what is the change in the internal energy of the system, in kj?
The change in the internal energy of the system in kilojoules is 142 kJ.
The internal energy of a system is defined as the sum of work done by a system or work done on a system and heat released by the system or heat gained by a system. Internal energy is represented by the symbol U. It is presented in units of kilojoules.
Work done by the system is W.
W = (-37) kJ
The heat released by the system is U.
U = (-105) kJ
The change in the internal energy of the system in kJ is,
Change in internal energy = Heat + Work done
∆ U = Q + W
∆ U = (-105) + (-37)
∆ U = 142 kJ
Therefore, the change in the internal energy of the system in kilojoules is 142 kJ.
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Calculate the mass, in grams, of 172 atoms of potassium, k (1 mol of k has a mass of 39.10 g).
By Avogadro's number, the mass is 1.12 x 10¯²⁰ gram.
We need to know about Avogadro's number to solve this problem. Avogadro's number is the number that explains how many atoms are in one mol. The Avogadro's number is
Na = 6,02 × 10²³ atoms / mol
From the question above, we know that
N = 172 atoms
Ar = 39.1
By using Avogadro's number, we can calculate the amount of potassium
N = Na . n
172 = 6,02 × 10²³ . n
n = 2.86 x 10¯²² mol
Find the mass
n = gr / Ar
2.86 x 10¯²² = gr / 39.1
gr = 1.12 x 10¯²⁰ gram
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An object is dropped from rest at a height of 127 m. find the distance it falls during its final second in the air.
The object will fall a distance during its final second in the air of: 81.967 m
The free fall formulas and the procedures we will use are:
t = √[ (2*h) / g]h = (g * t²)/2Where:
t = time takenh = height traveledg = acceleration due to gravityInformation of the problem:
h = 127 mg = 9.8 m/s²t = ?h(final second)= ?Applying the time formula we get:
t = √[ (2*h) / g]
t = √[ (2* 127 m) / 9.8 m/s²]
t = √[ 254 m / 9.8 m/s²]
t = √[ 25.918 s²]
t = 5.090 s
Calculating time traveled before the final second and we have:
t(final second) = t - 1 s
t(final second) = 5.090 s - 1 s
t(final second) = 4.090 s
Applying the height formula we get:
h = (g * t²)/2
h(final second) = (9.8 m/s² * (4.090 s)²)/2
h(final second) = (9.8 m/s² * 16.7281 s²)/2
h(final second) = 163.935 m/2
h(final second) = 81.967 m
What is free fall?It is when the object or mobile falls from a height (h) with a positive acceleration equal to the gravity, describing a vertical rectilinear travel.
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The "hang time" of a punt is measured to be 4.90 s .
If the ball was kicked at an angle of 69.0 ∘ above the horizontal and was caught at the same level from which it was kicked, what was its initial speed?
The initial speed of the ball will be 25.73 m/s.
What is speed?Speed is described as the rate at which an object's position changes in any direction.
The distance traveled relative to the time it took to travel that distance is how fast something is moving. Speed is a scalar quantity because it just has a direction and no magnitude.
Speed=distance/time
According to the question :
Maximum height can be achieved in time t will be -
⇒1/2(4.90)
= 2.45 seconds
and, the time [tex]V_y[/tex]=0
So by considering the motion from that time on and since [tex]V_0y-gt\\[/tex]
[tex]V_0y[/tex]=9.81 m/[tex]s^{2}[/tex] (2.45 seconds)
⇒24.03 m/s
So,
[tex]V_0[/tex]= 24.03/sin [tex]69^{0}[/tex]
⇒25.73 m/s.
Hence, its initial speed was 25.7 m/s.
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A cheetah can run at a maximum speed
108 km/h and a gazelle can run at a maximum speed of 79.9 km/h.
If both animals are running at full speed,
with the gazelle 75.8 m ahead, how long before
the cheetah catches its prey?
Answer in units of s.
The time taken by cheetah to catch its prey is 9.71 s.
What is speed?Speed is the defined as the distance covered per unit time by a moving body or object.
Speed = distance/timeThe speed of the gazelle = 79.9 km/h = 22.2 m/s
speed of the cheetah = 108 km/h = 30 m/s
Let distance covered by gazelle = d
distance covered bet cheetah = d + 75.8
The time taken is same for both = t
time = distance/speed
time taken by cheetah = d + 75.8/30
time taken by gazelle = d/22.2
equating both times: d + 75.8/30 = d/22.2
30 d - 22.2 d = 1682.76
d = 215.7 m
Therefore, time taken by cheetah = (215.7 + 75.8)/30
t = 9.71 s
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Starting from rest, a 2-kg body acquires a speed of 8 m/s in 2 seconds. the net force acting on the body is:________
Starting from rest, a 2-kg body acquires a speed of 8 m/s in 2 seconds. the net force acting on the body is: 8 N
To solve this exercise the formula for net force and the formula for uniformly varied rectilinear motion (UVRM) to be applied are:
F = m * aa = (vf - vi) /tWhere:
F = Forcem = massa = accelerationvf = final velocityvi = initial velocityt = timeInformation about the problem:
m = 2 kgvf = 8 m/svi = 0 m/st = 2 sa = ?F = ?N = kg * m/s²Applying the formula for UVRM we can calculate the acceleration of the runner:
a = (vf - vi) /t
a = (8 m/s - 0 m/s) / 2s
a = 8 m/s / 2s
a = 4 m/s²
With the acceleration we can apply the net force formula and get:
F = m * a
F = 2 kg * 4 m/s²
F = 8 N
What is force?It is the physical magnitude that expresses the effort necessary to move the mass of one kilogram with an acceleration of one meter per second squared, this is expressed in units of the international system in Newton.
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A delivery drone drops a package into a customer's porch. if the package can withstand a maximum impact speed of 8.00 m/s, what's the maximum height from which the drone can drop the package?
3.27 m/s is the highest height the drone can drop the cargo from.
The greatest height is equal to V²/2g, where V stands for velocity and g for gravity, and where 9.8 m/s2 = 82/2(9.8) = 3.27 m/s.
A home run is baseball's best delight. Projectile motion, a typical sort of two-dimensional motion, is what the ball is doing as it curves toward the stands. If air resistance is assumed to be nonexistent, a decent description of such motion may frequently be given.
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On this position-time graph, what is the displacement between 5 s and 20 s
-50 m
-40 m
+40 m
+50 m
The displacement between 5 s and 20 s in the position-time grap is +40 m
What is displacement?Displacement is defined as the distance travelled in a specific direction. It can be obtained mathematically as:
Displacement = Displacement 2 - Displcemrnt 1
With the above information, we can obtain the displacement. Details below.
From the question given above, we can obtain the displacement as follow:
Displacement 1 at 5 s = 10 mDisplacement 2 at 20 s= 50 mDisplacement =?Displacement = Displacement 2 - Displcemrnt 1
Displacement = 50 - 10
Displacement = +40 m
Thus, the displacement is +40m
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Missing part:
See attached photo
Please help me with these few questions! I need them done soon. Only 3 questions.
Answer:
Block A - 19.3 Kg/L
Block B - 0.64 Kg/L
Block C - 0.70 Kg/L
Block D - 0.917 Kg/L
Block E - 3.53 Kg/L
1) Which block has the greatest density?
Block A
Block B
Block C
Block D
Block E
2) Which block has the lowest density?
Block A
Block B
Block C
Block D
Block E
3) Submit your data table and identify the substance each block is made of.
The block with the greatest density = Block A
The block with the lowest density = Block B
What is density?
The density of an object is the ratio of mass to volume of the object.
density = mass/volume
The given density of the object;
Density Block A = 19.3 Kg/LDensity Block B = 0.64 Kg/LDensity Block C = 0.70 Kg/LDensity Block D = 0.917 Kg/LDensity Block E = 3.53 Kg/LThus, we can conclude the following based on the density of the objects;
The block with the greatest density = Block A
The block with the lowest density = Block B
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9 Jaycie wants to increase her upper body strength
by doing push-ups. She does one push-up by
applying a force of 10 N to raise her center of
gravity 2 m. How many push-ups must Jaycie
complete to do 200 J of work?
A. 5 push-ups
B. 10 push-ups
C. 15 push-ups
D. 20 push-ups
Please explain how the answer is correct, and how the rest of the answers are incorrect.
Thank you.
Jaycie must complete 10 pushups to do 200 J of work if a force of 10 N is required to raise her center of gravity by 2 m.
W = F * d
W = Work done
F = Force
d = Distance
F = 10 N
d = 2 m
W = 10 *2
W = 20 J
This is the amount of work done to complete one push up.
Number of push ups to be completed to do 200 J of work = 200 / 20
Number of push ups to be completed = 10
The amount of work done is a measure of force used to move an object to a certain distance. Its unit if Joules.
Therefore, Jaycie must complete 10 pushups to do 200 J of work
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If we connect the two flasks through a stopcock and we open the stopcock, what is the partial pressure of helium?
Partial pressure of helium =275.7 torr
Given data,
275 mL is the flask one volume.
Helium's pressure is 752 torr.
The second flask's volume is 475 mL.
722 torr is the argon pressure.
Partial pressure is equal to what?
As,
V2 is equal to 275 + 475 = 750 mL.
Using helium:
P₁V₁ = P₂V₂
P₂ = P₁V₁ /V₂
P₂ = 752 torr. 275 mL / 750 mL
P₂ = 206800 torr. mL /750 mL
P₂ = 275.7 torr
Therefore, Partial pressure of helium =275.7 torr
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9 one type of sunburn occurs on exposure to uv light of wavelength in the vicinity of 325 nm. (a) what is the energy of a photon of this wavelength? (b) what is the energy of a mole of these photons?
6.21 ×10⁻¹⁹ J energy of a photon of this wavelength
374028.3 J the energy of a mole of these photons
Evaluation :1) E =hc/λ
= (6.626×10⁻³⁴×3×10⁸)/(320*10⁹)
= 6.21×10⁻¹⁹ J
2) Of 1 mole E = Avogadro no.*Energy of one photon
= 6.21×10⁻¹⁹×6.023×10²³
= 374028.3 J
3) n×(6.21×10⁻¹⁹) = (10⁻³)
Thus n = 1.61×10¹⁵
How does one find the energy of a photon?
The energy of a photon are often calculated in two ways: If the photon's frequency f is known, we will use the formula E = h f . Planck proposed this equation, which is why it's known as Planck's equation. If the photon's wavelength is understood , the photon's energy are often calculated using the formula E = h c λ
What is the charge of photon?
A photon may be a tiny particle that comprises waves of electromagnetic radiation. As shown by Maxwell, photons are just electric fields traveling through space. Photons haven't any charge, no resting mass, and travel at the speed of sunshine
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How much would the displacement (in meters) of a 80 N/m spring be if the force hanging was 200 N?
The displacement of the spring with a force constant of 80 N/m is 2.5 m.
What is displacement?Displacement can be defined as the difference between the final and initial position of a object in motion.
To calculate the displacement of the spring, we use the formula below.
Formula:
e = F/k............ Equation 1Where:
e = displacement of the springF = Force hanging on the springk = Spring constantFrom the question,
Given:
F = 200 Nk = 80 N/mSubstitute these values into equation 1
e = 200/80e = 2.5 mHence, the displacement of the spring is 2.5 m.
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Explain four things that atomic theory presently states 
Answer:
1. Atoms are the smallest units of matter.
2. Atoms are composed of protons, electrons, and neutrons.
3. The protons and neutrons are located in the nucleus, and the electrons orbit around the nucleus.
4. The properties of atoms are determined by the number of protons in the nucleus.
Explanation:
Give Brainliest if I helped!
Converting Units!! Help please show work thank you !!!!
Answer: 5. 9000 meters
6. 0.12626 miles
7. 26.78 meters
8. 1 mile per minute
9. 468 km per hour
Explanation:
5. 1000 m=1 km
9 km * 1000 m/1 km=
9 * 1000/1 = 9000 meters
6. 63360 inches = 1 mile
8000 inches * 1 mile/63360 inches=
8000/63360=0.12626 miles
7. 100 cm=1 m
2678 cm * 1 m/100 cm=
2678 * 1/100=
2678/100=26.78 meters
8. 60 minutes=1 hour
60 mph * 1 hour/60 minutes=
60 * 1/60=1 mile per minute
9. 1000 m=1 km
1 hour=60 minutes
1 minute=60 seconds
60 seconds * 60 minutes/1 hour=
60 * 60/1=3600 seconds
130 meters * 3600 seconds/1 second=
130 * 3600/1=468000 meters per hour
468000 m* 1 km/1000 m=
468000 * 1/1000=468 km per hour
7. A soccer ball rolls to a stop from a speed of 21 m/s with an acceleration of -2.0m/s. How far
does it roll until it stops?
The distance the ball rolls up to before it stops is 110.25m.
Newton’s third equation of motion can be used to determine the distance the ball rolls up to before it comes to a halt.
Given data:
Initial velocity of the ball, u = 21m/s
Final velocity of the ball, v = 0
Acceleration of the ball, a = -2m/s^2
To find:
Distance the ball rolls, S = ?
Formula:
v^2 = u^2 + 2aS
Calculation:
0 = 21^2 + 2 (-2) S
S = 441 / 4
S = 110.25m
Result:
The distance the ball rolls up to is 110.25m before it stops.
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Using the midpoint method, if the price falls from $100 to $50, the price elasticity of demand is
The absolute value of the price elasticity of demand is 0.46.
What is price elasticity of demand?
The price elasticity of demand is used to determine the quantity sought after for a good. When prices rise, demand declines for almost all products, but some products are more negatively impacted than others. When a price increases by 1% while all other factors remain constant, the price elasticity provides the percentage change in quantity required. A 1% increase in price results in a 2% decrease in demand when the elasticity is negative two. The effects of changes in other parameters on the needed quantity are evaluated by other elasticities (e.g. the income elasticity of demand for consumer income changes).
What does the microeconomic midpoint technique entail?
With the midpoint formula, percentage changes are calculated by dividing the change by the average, or halfway point, between the starting and final values. As a result, the outcome is the same regardless of the direction of the change.
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Question:
Price Quantity
250 0
200 30
150 70
100 110
50 150
0 190
Using the midpoint method, if the price falls from $100 to $50, the absolute value of the price elasticity of demand is
a. 0.31.
b. 0.46.
c. 1.25.
d. 2.17
How many grams of ampicillin would you need to dissolve into 450 ml of water to make an ampicillin solution with a final concentration of 100 micrograms/ml?
45gram of ampicillin would be needed.
CalculationFinal concentration of ampicillin solution = 100mg/ml
It means that 1 ml of solution will have 100 mg ampicillin
So, 450 ml of solution will have = 450 * 100 = 45000 mg ampicillin
45000 mg = 45 gram
Hence, to make 450 ml of solution 45 gram of ampicillin would be needed.
How is 100 ug/mL ampicillin made?Ampicillin: at a final concentration of 100ug/ml, add 1 ml of ampicillin (at a concentration of 100 mg/ml) per liter of agar.
Add 10 mL of d H2O to 1 g of Amp powder.
When powder is completely dissolved, vortex.
Use a sterile 0.22 mm filter to sterilize.
Store at -20 °C and aliquot 1 mL of the amp solution into a 1.5 mL tube.
How is ampicillin 50 mg/mL produced?
Ampicillin sodium salt 500 mg can be dissolved in water to a final volume of 10 ml to create a 50 mg/ml stock solution.
How should 250 mg of ampicillin be diluted?With 1 mL, 1.8 mL, 3.5 mL, and 6.8 mL of each of the following: 250 mg, 500 mg, 1 g, and 2 g vials
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In an 8.00 km race, one runner runs at a steady 11.3 km/h and another runs at 14.3 km/h . How far from the finish line is the slower runner when the faster runner finishes the race?
Answer:
1.69 km away from the finish line.
Explanation:
velocity =distance/time
time= distance/velocity so 8km/14.3km per hour equal to 80/143 hr or 0.559 hrs for second runner to finish race
therefore 0.559 multiply by velocity to give distance of first runner when second runner finish race
0.559 times by 11.3= 6.32 km (3 significant figures)
8 km - 6.32km
= 1.69 km away from the finish line.
Please somebody help me with this project! It's due tomorrow and I'm a bit stuck with it! I'd really appreciate it if anyone is willing to help.
Mass (kg) Volume (L) Density (Kg/L) Substance
Block A
Block B
Block C
Block D
Block E
Densities of Various Materials
Material Density (kg/L)
Wood - 0.40
Apple - 0.64
Plastic - 0.70
Ice - 0.92
Water - 1.00
Aluminum - 2.70
Diamond - 3.53
Lead - 11.3
Gold - 19.3
Questions:
1) Which block has the greatest density?
2) Which block has the lowest density?
3) Submit your data table and identify the substance each block is made of.
I tried to match them, not sure if they're correct:
Answer:
Block A - 19.3 Kg/L
Block B - 0.64 Kg/L
Block C - 0.70 Kg/L
Block D - 0.917 Kg/L
Block E - 3.53 Kg/L
Which graph represents a car with positive acceleration? Group of answer choices B A C D
The one that represents a car with positive acceleration is graph number III.
What is velocity?The term velocity has to do with the change of displacement with time. The acceleration is the change in velocity with time. We know that the slope of the velocity time graph is the acceleration. Uniform velocity occurs when the displacement increases in equal amounts in equal time intervals thereby leading to a straight line graph.
Hence a positive acceleration is only possible when the velocity is increasing in equal amounts in equal time intervals
We can see from the graphs that the one that represents a car with positive acceleration is graph number III.
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A ball starts from rest at the initial position xi = 0. The ball has a constant acceleration of 2.4m/s2.
With the use of second equation of motion formula, its position at time 3.7 s is 16.43 meters
What is Position ?A position is a point where an object can be located. The length between two positions is known as distance.
Given that a ball starts from rest at the initial position xi = 0. The ball has a constant acceleration of 2.4m/s², to know its position time 3.7 s, we will use the formula
X2 - X1 = ut + 1/2 × a × t²
Where
a = 2.4 m/s²t = 3.7 su = 0 (ball starts from rest)Substitute all the parameters into the formula
X2 - 0 = 0 + 1/2 × 2.4 × 3.7²
X2 = 1.2 × 13.69
X2 = 16.43 m
Therefore, its position at time 3.7 s is 16.43 meters
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4. In 1994, a human powered submarine was designed at Boca Raton, Florida. It
achieved a maximum speed of 3.06 m/s. Suppose this submarine starts from
rest and accelerates at 0.800 m/s² until it reaches maximum speed. i) How long
did it take and ii) what distance did it travel?
The correct answer is S = 28.802 m.
Unless driven to change its condition by an external force, a body stays in its state of rest or uniform motion along a straight line. According to the law, a force is a factor that has the power to alter an object's status. Newton uses the inertia of rest, the inertia of motion, and the inertia of direction to explain his first law of motion.
From Newtons 1st equation of motion
V = u+at
3.06 = 0+0.8[tex]t_1[/tex]
[tex]t_1[/tex] = 3.825 s
Submarine travels [tex]t_2[/tex]= 5s with const velocity
and then again [tex]t_2[/tex]=5s for slowing to strip during slow,
0 = 3.06 - a × 5
a = 0.612 m/[tex]s^2[/tex]
Total time =[tex]t_1 + t_2 + t_3[/tex]
T = 13.825 s
Now [tex]v^2= u^2[/tex]+2as
[tex]S_1[/tex]= (3.06[tex])^2[/tex]/2×0.8
[tex]S_1[/tex] = 5.852 m
[tex]S_2[/tex] = Ut
[tex]S_2[/tex] = 3.06 × 5
[tex]S_2[/tex] = 15.3 m
[tex]S_3[/tex] = 0 - (3.06[tex]) ^2[/tex]/-2 × 0.612
[tex]S_3[/tex] = 7.65 m
Total displacement
[tex]S = S_1+S_2+S_3[/tex]
S = 28.802 m
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For a penny that weighs 2.493 gg, what is the molarity of the zn(no3)2zn(no3)2 if the resultant solution is diluted to 250.0 mlml with water?
The molarity of the zn(no3)2zn(no3)2 is 0.148 M
This is the Equation used Zn(s)+2HNO3(aq)⟶Zn(NO3)2(aq)+H2(g)
The mass in grammes of one mole of a chemical is its molar mass. The number of entities that are present in a material
A substance's molar mass is the volume of the material that contains one mole of the substance. Its basic definition is the weight of a single mole of a material. The atomic mass of each substance is multiplied by the subscript of that element in the chemical formula to determine the molar mass.
e.g. atoms, molecules, ions, is defined as a mole.
Any material has 6.022 x 1023 molecules in a mole.
Hence the molarity is 0.148M
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005 10.0 points
Two airplanes leave an airport at the same
time. The velocity of the first airplane is
700 m/h at a heading of 69.8°. The velocity
of the second is 620 m/h at a heading of 107.
How far apart are they after 1.9 h?
Answer in units of m.
Answer:
V1 = 700 cos 69.8 i + 700 sin 69.8 j vector components of V1
V1 = 241.7 i + 656.9 j in miles/hour
V2 = 620 cos 107 i + 620 sin 107 j
V2 = -181.3 i + 592.9 j
V = V1 - V2 = 423 i + 64 j rate of planes separation
1.9 V = 803.7 i + 121.6 j miles separation of planes after 1.9 hr
D = (803.7^2 + 121.6^2)^1/2 = 812.8 miles
