We have to descend 33 feet in air to experience the same increase in pressure.
The pressure exerted by water on a unit surface area is known as hydrostatic pressure. The pressure varies with the depth of water. For every 33 feet of depth which is equal to 10 meters, the hydrostatic pressure increases by 1 atmosphere (atm).
There are many animals that live in the greater hydrostatic pressure such as - whales they can withstand thousands atmosphere of pressure. Going deeper into the water ca cause some problems such as blocking of ear drums, squeezing of lungs, feeling a heavy load on chest and etc.
The divers face these consequences while they go deep into the ocean. The pressure increases and they feel their ear getting blocked.
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A student holds a rod in his hand. He rubs the rod with a cloth. The rod gains a positive charge.
Of which material could the rod be made, and which transfer of charge has happened?
Hence,option D . The rod is made up of plastic, the positive charge from the cloth to the rod.
Static charge or an electrostatic charge is a deficiency or extra of electrons that occurs on ungrounded or insulating surfaces. it's miles produced by way of triboelectric costs, expenses which can be generated by friction among surfaces, including the motion of paper thru a copier or printer.
An electrical charge is created when two materials come into contact or are rubbed collectively. when the substances are in touch, electrons can be actually rubbed off of one object and onto the alternative.
Static power is an imbalance of electric fees within or on the floor of a material. The fee stays till it could pass away by way of an electric present-day or electric-powered discharge.
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The only kind of radiation that earth’s surface emits is infrared (ir) radiation.
a. True
b. False
The statement is true. Solar radiation, also referred to as ultraviolet or shortwave radiation, is emitted by the Sun. Longwave or infrared radiation is emitted by the Earth.
Because they are cooler than the surface of the sun, the earth and its atmosphere emit infrared radiation with longer wavelengths than solar radiation. The 3 - 100 m range contains the majority of the energy of the infrared radiation that the earth and its atmosphere emit. Infrared is the thermal emission (or heat) from our planet that earth scientists study. Some of the energy from incident solar radiation that strikes Earth is absorbed by the atmosphere and the surface, warming the planet. Infrared radiation, which is emitted by the Earth, is what causes this heat.
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It requires 350 joules to raise a certain amount of a substance from 10.0°C to 30.0°C. The specific heat of the substance is 1.2 J/g°C.
What is the mass of the substance?
The mass of the substance is 14.58g.
Solution:
Heat ΔQ = 350J
Initial temperature T = 10°C
Final temperature [tex]T^{1}[/tex] = 30°C
Change in temperature:
ΔT =[tex]T^{1}[/tex] - T
= 30 - 10
= 20°C
Specific heat: 1.2 J/g°C
The mass of a substance:
ΔQ = mcΔt
m = ΔQ/cΔt
= 350/1.2 x 20
= 14.58 grams.
Molecular weight is the sum of the average masses of the atoms in the molecule of a substance. It is calculated by adding together the atomic masses of the elements in the substance and multiplying each by the index of the molecular formula. The mass of 1 mole of a substance in 1 gram is called molar mass.
Find the atomic weight of each element in the formula, multiply by the number of atoms of that element in the compound, and add to all other elements. This gives the 1 mole mass of the molecule in grams. The molar mass of a substance is the mass in grams of one mole of that substance. This mass is the atomic mass of the chemicals that make up the substance, expressed in atomic mass units AMU.
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A toy robot can walk and talk and runs on batteries. What type of energy is stored in the batteries?.
Chemical energy is stored in the batteries.
What is chemical energy?
Chemical energy is the energy that is released when chemical substances engage in a chemical reaction and change into other substances. Batteries, food, and gas are a few examples of chemical energy storage mediums. Energy can be absorbed by or evolved from a chemical system when breaking and creating chemical bonds.
The energy transformation occurring when a battery-powered toy car is set into motion when switched on is chemical to electrical to mechanical.
When a remote-controlled toy car begins to move, potential energy is converted into kinetic energy.
A battery has chemical energy stored within it.
When switched on, the circuit within the toy car closes.
This causes the chemical energy to be converted to electrical potential energy.
When the remote is pressed to make the toy car move, this potential energy is converted to mechanical kinetic energy.
In this way, energy transformation takes place from chemical to electrical to mechanical.
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A body is pulled along a horizontal plane by a constant force of 10N applied parallel to the plane
A body is pulled along horizontal plane by a constant force of 10N applied pavement to the plane. The work done in moving a distance 20m is (W)= 200 J.
What is work done?When some amount of force is acted on the object and it moves some distance that means some work has been done on the object. It can be measured in Joule.
How can we calculate the work done?To calculate the work done we are using the formula here is,
W=Fd
We are given here,
F= The amount of force acting on the body. = 10N
d= The distance the object move. = 20m
We have to calculate the values of work done = W
Now we put the values in the equation we get,
W= Fd
Or, W= 10*20
Or, W= 200N
From the calculation we can say that, The work done in moving a distance 20m is (W)= 200 J.
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A body is pulled along horizontal plane by a constant force of 10N applied pavement to the plane. calculate work done in moving a distance 20m
The distance between two successive crest is 5 m at
a frequency of 12 Hz.
(i) what is the wave velocity?
(Il)If there is a crest at × = 3m at time t, find three other positions of the crest at that instant. (iii) What time later will there be another crest at x =
3т?
(iv) If the amplitude of the wave is 1.5 m, write the equation of the wave.
A periodic or cyclic motion's wave velocity is the distance it travels in a unit of time (in any direction).(I) the wave velocity 60 m/s.(ii) The three other position of the crest are 8m, 13m, 18m (iii) time period= 0.083 sec (iv) equation of the wave y(x, t)= 1.3 sin (kx-ωt+Ф)
what is wave velocity?
In other terms, wave velocity is the distance travelled by waves in a unit of time. The definition of wave velocity is stated as the velocity associated with the disturbance propagating in the specified medium.It is also known as phase velocity.Depends upon nature of the medium.(I) according to the wave velocity equation
v= wavelength* frequency= 5*12=60 m/s
(II) x=3m,
three other position of crest x1= x+λ= 3+5= 8m
x2= x+2λ= 3+10=13m , x3=x+3λ= 3+15=18m
(iii) time period= 1/ frequency=0.083 sec
(iv) amplitude given= 1.5 m
equation of wave y(x, t)= A sin (kx-ωt+Ф)
k= wave number
ω=angular frequency
A= amplitude of wave
x= horizontal position variable
t=time period
Ф=Phase
equation of the wave
y(x, t)= 1.3 sin (kx-ωt+Ф)
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100 POINTS AND BRAINLY PLEASE HELP QUICK QUESTION I'M DESPERATE
Question 13(Multiple Choice Worth 2 points)
As a beginner bowler, Maria gets frustrated that her shots very rarely knock down any pins. Her Mom says that her arm movement looks awkward before releasing the ball. Maria feels like she needs to improve arm swing motion. How can Maria improve her bowling technique to be more successful?
Increase the weight of the ball to gain more control
Push the ball out away from her on the first step
Put more spin on the ball so that it curves prior to hitting the pins
Take fewer steps before releasing the ball to decrease her arm speed
Push the ball out away from her on the first step. Option B.
The key to consistent shots is the angle at which you pocket the ball. For right-handed bowlers, the pocket is between the 1st and 3rd pins. If you are left-handed it will be between pins 1 and 2. Keep your arms straight as you bring them back for the backswing and try to stay close to your body throughout the throw. Timing is important when releasing the ball.
A simple way to determine where the ball should exit the edge of the oil sample is simply to apply the rule of 31. Subtract 31 from the oil pattern distance. This will give you the board number where the ball ends the pattern. As a rule of thumb, right-handed bowlers place the inside of their left foot on the midpoint, and left-handed bowlers do the same with their right foot. Then stand with your other leg slightly behind you about 2 inches apart.
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Answer:
Maria can improve her arm swing motion in bowling by developing a free swing, where instead of controlling the ball with her arm, the ball controls her arm. This can be achieved by putting only mild to light grip pressure on the ball and pushing it back while standing relaxed. This will let the ball down and the gravitational energy will get her arm to the apex. As soon as she reaches the apex, she’ll have to slide forward and release the ball without pulling and grabbing.
Out of the options you provided, pushing the ball out away from her on the first step seems to be a good way for Maria to improve her arm swing motion in bowling.
So your answer would be (A) pushing the ball out away from her on the first step.
You are driving around the streets of Pittsburgh and find yourself on Canton Avenue.
While driving up this incredibly steep road, the steepest road in all of america, you find
that the total length you have driven is 31 m. At that time you also notice a roadside sign
that indicates that your elevation has increased by 10.6 m. What is the angle of the road
above the horizontal?
the angle of the road such that the alleviation is 10.6 meters and the distance traveled is 31 meters is 20°.
what are trigonometric ratios?
Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle. The ratios of sides of a right-angled triangle with respect to any of its acute angles are known as the trigonometric ratios of that particular angle.
given:
the total length you have driven is 31 m
elevation has increased by 10.6 m
if we will image the architecture of the structure that will be formed, we will see that the after joining the highest point perpendicularly downward we end up with a right-angled triangle.
if we wish to find the alleviation of the road, we can simply use trigonometric ratios.
using the sine trigonometric ratio we get,
sin (angle of alleviation) = perpendicular distance/distance travelled by the car
sin (angle of alleviation) = 10.6/31
sin (angle of alleviation) = 0.341
sin (angle of alleviation) = 19.93°
therefore, the angle of the road such that the alleviation is 10.6 meters and the distance traveled is 31 meters is 20°.
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Jonathan is driving a car. He accelerates away from a stop
sign. His three-year-old daughter sits in the rear passenger
seat. On whom does the back of the seat exert a greater
force? Explain your answer.
When car accelerates away from a stop sign, back of the seat exert a greater force on the rear passenger seat.
The reason is that when the car is accelerating, the frictional moment of the ground that give the rear wheel of the car its driving wheel is more than the gravity moment of the car. This is the reason that the car will tilt its head.
Newton’s first law states that objects in motion stays in motion and objects at rest stays at rest. So the accelerating car is overcomes the inertia the body mass is exerting on the seat.
When car accelerates forward, the backward sensation is caused by body's inertia.
The driver is less affected because the driver’s seat is adjusted to have better control on the car. The steering wheel also serves as a support to the forces applied to the driver . The passenger’s seat is generally adjusted for maximum comfort that’s why the passenger is not as supported on the seat as compared to the driver.
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Two students drop an object into sand from a height of 1.5 meters. They record the depth of the hole made in the sand by each student's object What is the most likely explanation for the results? (1 point) O Maddie's object had a faster drop speed O Naveed's object has less mass O Naveed's object had greater kinetic energy O Maddie's object has a smaller width
Weight is the force of gravity on mass, which is intrinsic to matter. Remember that F=ma. The acceleration due to gravity is independent of the mass of the object falling, but the force it feels, and thus the weight of the object, is.
They record the depth of the hole made in the sand by each student's object gives the idea about the mass of the objects.
Naveed's object has less mass
Is gravity affected by mass?Gravitational force is a force that attracts masses. The gravitational force grows in proportion to the size of the masses (also called the gravity force). The gravitational force weakens rapidly as the distance between masses grows.Given two identically sized but different materials objects, the heavier (denser) object will fall faster because the drag and buoyancy forces are the same for both, but the gravitational force is greater for the heavier object.Weight is the force of gravity on mass, which is intrinsic to matter. Remember that F=ma. The acceleration due to gravity is independent of the mass of the object falling, but the force it feels, and thus the weight of the object, is.
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You throw a ball upward with an initial speed of 4.8 m/s . When it returns to your hand 0.98 s later, it has the same speed in the downward direction.What was the average acceleration vector of the ball?
Answer:
a = (V2 - V1) / t average acceleration between points 1 & 2
V2 = speed at bottom = -4.8 m/s
V1 = 4.8 m/s speed when thrown, choosing upwards as positive
a = (-4.8 - 4.8) / .98 time upwards = time downwards
a = -9.6 m/s / .98 s
a = -9.8 m/s^2
An electric lamp rated at 48 watts,12volts supply. Calculate the current flow in the lamp and the resistance.
Let's use the formula of power.
[tex]P=I\cdot V[/tex]Where P = 48 watts and V is 12 volts, let's use these magnitudes and solve for I.
[tex]48W=I\cdot12V[/tex]Divide both sides by 12V.
[tex]\begin{gathered} \frac{48W}{12V}=\frac{I}{12V}\cdot12V \\ I=4A \end{gathered}[/tex]Therefore, the current flow in the lamp is 4 A.wo coaxial aluminum tubes are 30 cm long. the outer diameter of the inner tube is 3 cm, the inner diameter of the outer tube is 4 cm. when these are connected to a 45 volt battery, how much energy is stored in the electric field between the tubes?
Energy is stored in the electric field between the tubes is 5.85 x 10-11 J.
What is electric field?
Any charge results in an electric field being connected to a specific spot in space. The value of E, often known as the electric field strength, electric field intensity, or just the electric field, expresses the magnitude and direction of the electric field. Without any precise information of what created the field, knowing the value of the electric field at a certain location is sufficient to predict what would happen to nearby electric charges.
We have inner tubes.
A1 = \pi ro2 = (3.14) [(0.03 m) / 2] 2
A1 = (3.14) (0.000225 m2) (0.000225 m2)
A1 = 0.0007065 m2
We have outer tubes.
A2 = \pi ri2 = (3.14) (3.14) [(0.04 m) / 2] 2
A2 = (3.14) (0.0004 m2) (0.0004 m2)
A2 = 0.001256 m2
The conducting tubes' total area is provided by -
A = (0.0007065 m2) + (0.001256 m2) (0.001256 m2)
A = 0.0019625 m2
We have a formula that yields
(8.85 x 10-12 C2/Nm2) (0.0019625 m2)/d = C = varepsilon0 A (0.3 m)
C = 5.78 x 10-14 F
The energy stored in the electric field between the tubes when these are coupled to a 45 volt battery is provided as:
U = (1/2) C V2 = (0.5) (5.78 x 10-14 F) (45 V)
U = 5852.2 x 10-14 J
U = 5.85 x 10-11 J
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A spring has a force of 2.0N and an extension of 0.30m. What will the extension be if the force applied is 6 N.
Will mark as brainliest
Answer:
0.9 m
Explanation:
Hooke’s Law
[tex]\large\boxed{F = ke}[/tex]
where:
F is the force in newtons (N).k is the 'spring constant' in newtons per metre (N/m).e is the extension in metres (m).Given values:
F = 2.0 Ne = 0.30 mSubstitute the given values into the formula to find k:
[tex]\implies 2.0=0.30k[/tex]
[tex]\implies k=\dfrac{2.0}{0.30}[/tex]
[tex]\implies k=\dfrac{20}{3}\; \sf N/m[/tex]
To find the extension if the force applied is 6 N, substitute the found value of k and the given value of F into the formula and solve for e:
[tex]\implies 6=\dfrac{20}{3}e[/tex]
[tex]\implies 18=20e[/tex]
[tex]\implies e=\dfrac{18}{20}[/tex]
[tex]\implies e=0.9\; \sf m[/tex]
Ricardo starts from rest and runs for 12 seconds. He reaches a final velocity of +9 m/s. Find Ricardo’s acceleration.
Answer:
Assuming his Acceleration is constant and consistent, he accelerates at .75 m/s^2
Explanation:
the angle of projection at which the horizontal range and maximum height of projectile are equal is
The angle of projection at which the horizontal range and maximum height of projectile are equal is 75.96⁰
What is horizontal distance or range of a projectile?
The horizontal distance or range of a projectile is the maximum horizontal distance travelled by the projectile.
Mathematically, the formula for the range of a projectile is given as;
R = u²sin2θ/g
where;
u is the velocity of the projectileθ is the angle of projectiong is acceleration due to gravityThe maximum height travelled by a projectile is given as;
H = u²sin²θ/2g
Solve the two equation together;
u²sin2θ/g = u²sin²θ/2g
2u² sinθcosθ = u²sin²θ/2g
4cosθ = sinθ
4 = tanθ
θ = arc tan(4) = 75.96⁰
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29.In which of the following pictures is the average kinetic energy of molecules the highest?Select one:a. Ab. Bc. Cd. D
We will have that the picture that shows the highest average kinetic energy is image B.
Would appreciate some help :)
Answer:
a
Explanation:
the result of 2 oppositely directed forces is 50N. The magnitude of one of the forces is 3 times that of the other, what is the magnitude of each one of the forces.
The magnitude forces of each one of the forces is F₁ = 75N and F₂ = 25N.
What is force?Any action that tends to preserve, modify, or deform a body's motion is considered to be a force in mechanics. Usually, Isaac Newton's three laws of motion from his Principia Mathematica are used to explain the concept of force (1687).
A body at rest or moving uniformly in a straight line will stay in that state until a force is applied to it, according to Newton's first law. According to the second law, any external force that interacts with a body causes it to accelerate (change its velocity) in the force's direction.
If two forces act on an object in opposite directions, the net force is the difference between the two forces, which means
F₁ - F₂ = Net force
Here net force = 50N, so
F₁ - F₂ = 50N
We have given that F₁ = 3F₂
Now substituting the value of F₁ in F₁ - F₂ = 50N, we get
3F₂ - F₂ = 50N
2F₂ = 50N
F₂ = 50/2
F₂ = 25N
And F₁ in F₁ = 3F₂ is
F₁ = 3(25)
F₁ = 75N
Thus, The magnitude forces of each one of the forces is F₁ = 75N and F₂ = 25N
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compared to a giant iceberg, a hot cup of coffee has
compared to a giant iceberg, a hot coffee cup has a higher temperature but low internal energy.
The temperature of a hot cup of coffee is higher because the average kinetic energy of the molecules of hot coffee are higher than the molecules of a giant ice cap. If we put a thermometer in both, we would clearly see the difference.
Despite having a higher temperature, hot coffee has lower internal energy as compared to icebergs because the giant iceberg contains a lot of particles whose combined energy will make the total internal energy of the iceberg much larger than the hot coffee cup.
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two flat mirrors are connected to each other such that they make an angle of ψ. a laser enters the system and first reflects off the bottom mirror, then the top mirror. when the beam exits it makes an angle of θ
The angle is 53.5 degrees.
What is a flat mirror?
A plane mirror is a mirror with a flat (planar) reflective surface. For light rays striking a plane mirror, the angle of reflection equals the angle of incidence.
This ques have been solved in two steps:
Step 1:
given that;
Θ=107 degrees
from figure,
∠BAC=180-ψ-(90-φ)
∠BAC= 90-ψ-φ
∠AOC=180-2(ψ-φ)-2φ
∠AOC=180-2φ
Step 2: part(a)
writing an expression for the psi at point o:
Θ+180-2ψ=180
2ψ=Θ
ψ=Θ/2
above is the expression for ψ
Step 3: part(b)
The angle of ψ is,
ψ=Θ/2
ψ=107/2
ψ=53.5 degrees
Hence, the angle is 53.5 degrees.
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Which if the following topics will be covered in Physical Science A? (4)
Group of answer choices
Anatomy
Bonding
Elements
Genetics
Matter
Newton's Laws of Motion
Reactions
Answer:
I'm not going to give you the direct answer because you shouldn't cheat but I will give a hint
Explanation:
Physics, chemistry, astronomy, geology and other disciplines concerned with the study of non-living things are examples of physical science.
electromagnetic radiation with a wavelength of 745 nm appears as red light to the human eye. the energy of one photon of this light is 2.67 × 10-19 j. thus, a laser that emits 1.3 ×10-2 j of energy in a pulse of light at this wavelength produces photons in each pulse. electromagnetic radiation with a wavelength of 745 nm appears as red light to the human eye. the energy of one photon of this light is 2.67 × 10-19 j. thus, a laser that emits 1.3 ×10-2 j of energy in a pulse of light at this wavelength produces photons in each pulse. 3.6 × 1019 6.5 × 1013 4.9 ×1016 4.7 × 10-24 2.1 × 10-17
Photons are massless.
What is electromagnetic radiation?
Electromagnetic radiation consists of electromagnetic field-propagating waves that carry electromagnetic radiant energy. Radio waves, microwaves, infrared, visible light, ultraviolet, X-rays, and gamma rays are included. All of these electromagnetic waves comprise the electromagnetic spectrum.
Given that:
E= Energy
h= Plank's constant = 6.6*10^-34 Js
c= speed of light = 3*10^8 m/s
E=hv = hc/λ
λ=745 nm = 745*10^-9 m
E=6.6*10^-34 * 3*10^8/745*10^-9
E= 2.657* 10^19 = 2.66* 10^19 J
hence, the energy of one photon of this light is 2.66* 10^19 J
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Correct question:
Electromagnetic radiation with a wavelength of 745 nm appears as a red light to the human eye. The energy of one photon of this light is............... A) 2.67 x 10-28 B) 2.67 x 10-19 C) 1.48 x 10-22 D)1.48 × 10-31 E) 3.75 × 1018
been working on this, anyone know?
To launch a 60 kg human at the given speed, the spring constant needed is 1500 N/m.
What is spring constant?This is the proportion of a spring's extension to the force applied to it. Utilizing the energy conservation principle, the spring's spring constant is determined. The human will transform the elastic potential energy of the spring into kinetic energy in order to launch at the desired speed.
Briefing:U = K.E
¹/₂kx² = ¹/₂mv²
k = mv²/x²
where;
m is mass of the human
v is the speed of the cannon
x is the extension of the spring
k is the spring constant
Substitute the given parameters and solve for the spring constant.
k = (60x 15²) / (3²)
k = 1500 N/m
A spring constant of 1500 N/m is need to maintain the law of conservation of energy, from elastic potential energy of the spring to kinetic energy of the human,
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The complete question is -
In order To launch a 60 kg human so that he leaves a cannon moving at a speed of 15 m/s, you need a spring with an appropriate spring constant. This spring will be compressed 3.0 m from its natural length to launch the person. The cannon oriented at an angle of 37⁰ above the horizontal?
a) Which spring constant should the spring have so that the cannon functions as desired?
10. Light travels at 3.00 x 10^8 m/s. How far does it travel in 1.00 year? This distance is known as a "light-year". (Hint: calculate how many seconds there are in a year.)
The speed of light is 3.00 x 10^8 meters per second. A "light-year" is the measurement for this distance.
time = 31536000 seconds
First, We have to calculate the number of seconds in a year.
time = (365 days)
(24 hours/day)
(3600 seconds/hour)
time = 31536000 seconds
We can calculate the distance that light travels in this many seconds. distance = speed x time
distance = (3.00 x 10^8 m/s) (31536000 seconds)
distance = 9.46 x 10^{15} meters
A light year is 9.46 x 10^{15} meters
What is light year?
A light-year, also spelled lightyear, is a significant unit of length that is used to express astronomical distances. It is roughly 9.46 trillion kilometers in length.
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Two stars have the same luminosity, but star b is three times farther away from us than star a. Compared to star a, star b will look.
Since Intensity depends on power and area, star b will have the same brightness as star a but look smaller
What is Luminous Intensity ?Luminous Intensity is the magnitude or quantity of the brightness of light emitted by a luminous object.
If two stars have the same luminosity, but star b is three times farther away from us than star a. If we are to compare star a with star b, star b will look bright but small.
The reason is due to the fact that Intensity is directly proportional to power and inversely proportional to area and not to the distance or length.
Therefore, star b will look bright but small.
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A boy is pulling a sled with a rope pulled over his shoulder so the angle the rope makes
with the horizontal is 50°. If the sled has a mass of 100 kg, and the coefficients of friction
are μs = 0.6 and Uk = 0.3, what force on the rope is necessary to move the sled at a
constant acceleration of 0.1 m/s?
Answer:
348.7 N
Explanation:
Static friction coeff not needed.
This is a little complicated because some of the force on the rope (F) is making the Normal Force ( and thus the frictional force) less
Normal force will be ( 100 ( 9.81) - F sin(50) )
then friction becomes .3 ( 100(9.81) - F sin 50)
Force pulling horizontally will have to be
F = ma
100 kg * .1 m/s = 10 N PLUS the effort to overcome friction
So the horizontal force will be
10 + ( .3( ( 100)(9.81) - F sin50 )) <===simplify a bit
10 + 294.3 - .3 F sin50
304.3 - .3 F sin50 = horizontal force
The horizontal force is also given by F cos 50 Now we can equate the two underlined items above
304.3 - .3 F sin 50 = F cos 50
304.3 = F ( cos50 + .3 sin50)
304.3 / ( cos 50 + .3 sin 50) = F = 348.7 N
3. Three forces are acting on an object (Figure 1. 32) which is in equilibrium. Determine force A. 1200 N 51. 3° Force A 42. 00 1400 N
Asin+1200sin51.3+1400sin42=Asin+1896 N is the resulting force in the vertical direction. This also equals zero.
When three forces are in balance, the forces are either?When a three-force member is in equilibrium, the forces must be contemporaneous if they are not parallel. As a result, the lines of action of all three forces operating on such a component must cross at some point; hence, any single force is the equilibrant of the other two forces.
When the outcome of three vectors is a Null vector, i.e. it has no magnitude and direction, the three vectors are at equilibrium. The product of three vectors equals the vector sum of the vectors.
When a thing is in equilibrium, its forces are balanced.
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1. What is the slope of the graph below?
position (m)
30
20
10
O
5 10
15
time (s)
Answer:
type good your question
A cannonball is launched horizontally from the top of a cliff 10.4 meters high, and lands
20.8 meters away from the base of the cliff. What is the horizontal velocity (vx) with
which the cannonball was launched?
The horizontal velocity with which the Cannonball was launched is 14.28m/s .
What is velocity?
velocity is defined as the rate of change of displacement of the body.
mathematically,
v = s/t
where, v is velocity,
s = displacement
t = time
Given,
A cannonball is launched horizontally from the top of cliff which is 10.4 meters high.
and it lands 20.8 meter away from the base of the cliff.
Here, h = 10.4 m and x = 20.8 m
According to the formula of the projectile fired horizontally from a certain height,
x = u ×√(2h/g)
20.8 = u × √(2×10.4/9.8)
20.8 = u × 1.456
u = 20.8/1.456 = 14.28 m/s
Thus,the horizontal velocity with which the Cannonball was launched is 14.28m/s .
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