Using the concepts of gravitation, we find that it is true that tides are the periodic short term change in the height of the ocean surface at a particular place, generated by the long wavelength progressive waves that are caused by interaction of gravitational force of the moon and sun.
Gravitational force is one of basic forces of nature. It is a force that acts between two bodies and it is always attractive in the nature. Gravitational force is the force with which the objects are attracted to the centre of earth. The motion of the planets and the moon are governed by this force
Kepler’s first law All the planets will revolve around the sun in an elliptical orbit with the sun at one of the focus.
Hence, tides are the periodic short term change in the height of the ocean surface at a particular place, generated by the long wavelength progressive waves that are caused by interaction of gravitational force of the moon and sun is true.
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Determine the direction of the magnetic field of the current-carrying wire in the vicinity of the loop.
We can determine the direction of the magnetic field of the current-carrying wire in the vicinity of the loop using the right-hand rule.
What is the right-hand rule?The right-hand rule is a common mnemonic in physics for remembering the direction of magnetic forces. A similar form of the right-hand rule, which is also called the right-hand grip rule, is used to find the direction of the magnetic field in a current-carrying wire.
The direction of the magnetic field made by a current in a wire curls around the wire in a ring. You can find the direction by curling your fingers and pointing your right thumb in the direction of the current in the wire. Your fingers will be curled in the same direction as the direction of the magnetic field around the current-carrying wire.
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if you toss a ball to your friends when the ball reaches its maximum altitude it’s vertical acceleration is what? is it 0 m/s or -9.81?
The vertical acceleration of the ball at its highest altitude is 0 m/s.
Has the acceleration ever been zero?It is possible for an item to have both zero acceleration and non-zero velocity because acceleration is the change in velocity. Since there is no change in velocity while an object is moving at a constant speed, it experiences no acceleration.
At maximum height, is vertical velocity zero?The bullet reaches its highest point when its vertical velocity is zero. The vertical portion of the velocity vector will now point downward. The projectile's horizontal range, which is determined by the object's beginning velocity, is referred to as the projectile's range.
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if momentum is conserved during inelastic collision of the two cars, what would you expect the ratio of final to initial total momentum be? calculate the ratio of final to initial total momentum. does the ratio agree with your expectation?
Inelastic collision The total momentum of the system prior to the collision was 22 361 kg*m/s, and as momentum is conserved, it is also the total momentum of the system following the collision.
The system's overall momentum is distributed equally among all of the automobiles due to their equal mass. In an inelastic collision, as opposed to an elastic impact, internal friction prevents the conservation of kinetic energy. Is called inelastic collision.
Momentum, also known as linear momentum, translational momentum, or simply momentum in Newtonian physics, is the result of an object's mass and velocity. It has a direction and a magnitude, making it a vector quantity.
final to original total momentum is equal to 22361/22361, which is 1.
therefore beginning and ultimate momentum are equal.
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which is the best reason to use a power model to describe the relationship between the length and period of a pendulum? the standard deviation of the residuals is small.
The reason for using the power model to describe the relationship between the length and the period of the pendulum is because there is a linear relationship between the scatter plots of log (length) vs. log (period of pendulum), but none can be seen in the residual plot.
In the "Power Models" unit, discover which circumstances may be explained by power models, inverse power models, and quadratic models. Additionally, you'll learn how to use the formulae y = ax₂, y = ax₃, y = a/x₂, y = a/x₃, and y = ax₂ + bx + c to compare patterns in tables and graphs of models. Here, x₂ and x₃ are the length of the pendulums at particular instants.
In the framework of these models, they also begin to understand the idea of rate of change. Here, some skills are acquired, like visually solving quadratic equations and simplifying radical and exponential forms. Additionally, direct and inverse variation concepts and phrases are taught.
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a charged particle of mass 0.0020 kg is subjected to a magnetic field which acts at a right angle to its motion. if the particle moves in a circle of radius at a speed of what is the magnitude of the charge on the particle?
The magnitude of the charge on the particle is 0.0083 C.
Solution:
The centripetal force if it is moving in a circle is mv^2/r. Since this is coming from the magnetic force, then
mv^2/r = qvB
q = (mv^2/r)/(vB) = (mv)/(rB)
q = .002*5/(.2*6) = 0.0083 C
The magnitude of the electric field E produced by a charged particle at a point P is the electric force per unit positive charge exerted on another charged particle at that point. The direction of the electric field is the direction of the force on the positive charge. The electric field vector magnitude is calculated as the force per charge for any testing charge in the electric field.
The force on the test charge can be directed toward the source charge or directly away from the source charge. Electron charge can be determined simply by placing a known number of electrons on one electrode of a capacitor and measuring the voltage Vs across the capacitor.
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Efficiency, fill in the blanks
a large 1.9 m wide and 0.5 m high plate is carried above a truck perpendicular to the vehicle motion (like a flat plate normal to the free stream). calculate the additional power required to carry the plate at a speed of 72 km/hr. use air density as 1.22 and estimate the drag coefficient from tables in the book.
The additional power required to carry the plate at speed of 72 km/hr is 4867.8 m/s.
Given data,
[tex]l[/tex] (wide of plate) = 1.9m
[tex]h[/tex] (high of plate) = 0.5m
ρ (air density) = 1.22
[tex]V[/tex] (speed) = 72km/hr
assume [tex]C_{D}[/tex] (Drag coefficient) = 1.05
To determine the additional power can be calculated as follows:
First, we have to determine the area of plate
Area of plate = [tex]l[/tex]×[tex]h[/tex]
= 1.9×0.5
Then, we have to convert the unit of speed from km/hr to m/s
72km/hr = [tex]\frac{72000}{3600}[/tex]
= 20 m/s
Next, we can determine the power by using the formula
=[tex]\frac{1}{2}[/tex]×[tex]C_{D}[/tex]×ρ×[tex]V^{2}[/tex]×[tex]A[/tex]×[tex]V[/tex]
=[tex]\frac{1}{2}[/tex]×[tex]1.05[/tex]×[tex]1.22[/tex]×[tex]20^{2}[/tex]×[tex]0.95[/tex]×[tex]20[/tex]
=4867.8 watt
Thus, The additional power required to carry the plate at speed of 72 km/hr is 4867.8 m/s.
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According to the first law of thermodynamics, work done by a system will cause _________ in the internal energy, assuming that no heat is transferred to or from the system.
According to first law of thermodynamics, work done by system will cause a decrease in internal energy, assuming that there is no heat is transfer to or from the system.
What is the first law of thermodynamics ?The first law of thermodynamics explains that energy can neither be created nor destroyed, only be changed from one form to another.
The law states that the energy entering the system in the form of heat is equal to the sum of the increase in the internal energy of system and the energy leaving the system is in the form of work done by the system on surroundings.
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Why are the atomic radius and the ionic radius difficult to describe?
Because the location of the outermost electron is unclear and we are unsure of its exact location, calculating the atomic radii is fairly challenging.
What is atom?A chemical element is uniquely defined by its atoms, which are tiny pieces of substance.
An atom is made up of a core nucleus and one or more negatively charged electrons that orbit it. The positively charged, comparatively hefty protons and neutrons that make up the nucleus may be present.
The overlap of ions in a lattice structure makes it challenging to estimate the ionic radius.
Ionic radius typically decreases from group 1 to group 3 since the produced ions have a larger nuclear charge, more protons, and smaller ionic radius due to the electrons being drawn closer to the nucleus.
Calculating the atomic radii is fairly difficult because the location of the outermost electron is obscure and we are unaware of its precise location.
Thus, it is difficult to describe atomic radius and the ionic radius.
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On a distance vs. time graph for an object, a line segment that is sloping upward indicates (1 point)
O motion in the positive direction.
O motion in the negative direction.
Othat the object is speeding up.
O that the object is accelerating.
If the line segment is slopping up, what that means is that the object is speeding up.
What is a graph?The term graph has to do with a plot that is shown on the x - y Cartesian plane that a vertical and a horizontal axis. In the distance vs. time graph, the distance is plotted on the vertical axis and the time is plotted on the horizontal axis.
We know that a line could be drawn that joins the plots in a graph. The slope if the graph can be obtained from this line of best fit that is obtained from the graph. This line could be moving upwards or downwards.
If the line is moving downwards, it means that the slowing down but a motion in the upwards direction could mean that the object is speeding up. Thus we have an increase in the speed of the object as the object is in motion.
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Answer:
motion in the positive direction
Explanation:
Remember "a straight line indicates a constant velocity"
If you shot your catapult on the moon, what are at least two ways this would affect how your catapult launches?
There is gravity on the Moon, just not as much as on Earth. So a catapult would be able to throw it's ammunition about six times farther than the same catapult on the Earth.
There may be gravity at the Moon, simply not as much as on the planet. So a catapult could be able to throw it's ammunition about six instances farther than the same catapult on this planet. things do not waft at the Moon. They fall, however they do fall slowly, slower than they do on the earth.
Catapults take advantage of elastic force, regarding stretched, compressed, bent, or twisted cloth. To prepare a catapult to launch a rock, it takes paintings to twist a rope, to stretch a rubber band, or bend wood.
Catapults operate the usage of projectile movement, that is a form of science referred to as Physics. Catapult physics is essentially the usage of stored strength to hurl a projectile. The three primary strength storage mechanisms are tension, torsion, and gravity.
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why do you think it was initially difficult for astronomers to entertain the possibility that the spectra of quasars are highly red shifted
In the 1960s, it was proposed that quasars could be compact objects ejected quickly from the cores of adjacent regular galaxies.
Why did it take so long for astronomers to comprehend quasar spectra?Nobody anticipated that an object that resembles a star could have its spectral lines so drastically redshifted.
It's a concept that makes sense when you consider that as light's wavelength is extended, the spectral lines appear to have "shifted" toward the red portion of the spectrum.
Sound waves experience a similar effect when a source moves in relation to an observer.
As a result of the emission lines being "red shifted," astronomers initially had trouble distinguishing them in quasar spectra at optical wavelengths.
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a croquet mallet delivers an impulse of 9.97 n s to a 0.34- kg croquet ball initially at rest. what is the speed of the ball immediately after being struck?
The speed of the ball immediately after being struck is 28.65 m/s.
Impulse is equal to momentum change when a collision happens and no external forces on the system.
I = Δp
I = p' - p
I = mv - mu
u = initial speed (m/s)m = mass of the object (kg)v = final speed (m/s)I = impulse (Ns)p = initial momentum (Ns)p' = final momentum (Ns)Parameter
I = 9.97 Nsm = 0.34 kgu = 0 m/sI = mv - mu
9.97 = 0.34v - (0.34×0)
9.97 = 0.34v
[tex]v = \frac{9.97}{0.34}[/tex]
v = 28.65 m/s
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a gyroscope slows from an initial rate of 32.0 rad/s at a rate of . (a) how long does it take to come to rest? (b) how many revolutions does it make before stopping?
the revolutions are about 116 revolutions
what is revolution?
A revolution is the movement of one thing around a centre or another object, the forcible overthrow of a government by the people, or any abrupt or large change.
Our solar system, which includes the sun, planets, and numerous asteroids, formed around 4.5 billion years ago. The gravitational collapse of a massive cloud and dust in space resulted in the formation of the solar system. This caused a disturbance in the cloud, causing clumps of gases to form due to gravity.
t=45.7s
α=116 revolutions
ω₀=32.o rad/s, ω=0
α=-0.700 r/s²
ω= ω0 +at
0=32.0r/s+ (-0.700r/s2)t
T= -32/-0.700
=45.7s
We use the equation below to find revolutions.
ω2= ω20 +2aα
substitute the values
0=(32)2 + 2(-0.7r/s2)α
α=731 rad
the rads are converted to revolutions:
α=731x1/2π
=116 revolutions
so the revolutions are about 116 revolutions
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a description of one real-life problem that has to be solved or decision that has to be made
Your example may be an example from your life or an imaginary example.
Your description should include three obstacles from the list below related to solving the problem or making a decision.
belief perseverance
confirmation bias
counterproductive heuristics
framing effect
fixation
functional fixedness
overconfidence
a brief explanation related to how the obstacles you described were overcome, or how each obstacle could be overcome in the future
A description of Benson's real-life problem that has to be solved is below:
Benson, a final year medical student shared a reflection of his past problems before gaining admission into the higher institution.
His power driven message to those who wish to overcome their obstaclesI have cried countless times as a result of my failures in the past. Sometimes when I was still in my high school, I was too overconfident in myself as to the level of my intelligence in class. This continued to the extent at which I stopped attending classes and at the end all these, I was shocked to receive the news that I had failed GSCE results.
I was mocked by all and sundry and humiliated. I repeated this exams for 5 years. Solving this problem made me remain on a fixed point and became a tool of fixation of failure to myself and those that were following my footsteps back in highschool.
Thank goodness for my father who stood by me in all my trials and injected me with alot of belief perseverance that I will come out of this problem and live my dream of becoming a medical doctor. Finally, I conquered the situation after many years and later continue my pursuit to apply for medicine and surgery in higher institution.
So therefore, it can be deduced from all said and done above that: you are what has happened to you. Take responsibility for your problems.
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4. [4 pts] to decrease the magnitude of current induced in the inductor using a bar magnet, you could (select all that apply): a. decrease the strength of the magnet. b. increase the velocity of the magnet going into the solenoid. c. decrease the number of coils in the solenoid. d. decrease the cross sectional area of the solenoid.
Option A,C It decrease the strength of the magnet and also decrease the number of coils in the solenoid.
A device called a solenoid is made up of a casing, a coil of wire, and a moving plunger (armature). A magnetic field develops around the coil when an electrical current is injected, drawing the plunger in. A solenoid, put more plainly, changes electrical energy into mechanical work.
Copper wire is twisted tightly in a coil that has several turns. The creation of a powerful magnetic field or flux occurs when an electrical current runs through this wire.
The coil is enclosed in a housing, which is often composed of steel or iron, which concentrates the magnetic field it produces.
The magnetic field's concentration, which provides the mechanical force needed to perform the action, draws the plunger to the stop.
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(a) what is the resistance of a lightbulb that uses an average power of 40.0 w when connected to a 60.0-hz power source having a maximum voltage of 170 v?
The resistance of the light bulb has the power of 40 W is 722.5 ohms
The power of the light bulb = 40 W
The maximum voltage of the lightbulb = 170 V
Therefore, the resistance of the light bulb can be found using the formula,
P = V² / R
where P is the power of the lightbulb
V is the voltage of the lightbulb
R is the resistance of the lightbulb.
Let us re-write the above equation in order to get the value of the resistance,
R = V² / P
Let us substitute the known values in the above equation, we get
R = (170)² / 40
= 28,900 / 40
= 722. 5 ohm
Therefore, the resistance of the light bulb is 722.5 ohms.
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what sound characteristics can be compared between the two ears to locate the source of a sound shadows and pitch loudness and phase frequency and loudness we cannot localize sounds well
In order to determine where a sound is coming from,These signals include the ear the sound strikes first and the volume of the sound when it reaches each ear .
What sound characteristics can be compared between the two ears to locate the source of the sound?In order to determine where a sound is coming from, humans rely on two key clues.
These signals include the ear the sound strikes first (interaural temporal differences) . Thhe volume of the sound when it reaches each ear (known as interaural intensity differences).The relative intensity of high-frequency sounds (the shadow effect), the difference in arrival timings between the ears, and the asymmetrical spectral reflections off our bodies' torso, shoulders, and pinnae are all indicators of a sound's azimuth.To learn more about sound refer,
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5.28 ** a massless spring is hanging vertically and unloaded, from the ceiling. a mass is attached to the bottom end and released. how close to its final resting position is the mass after 1 second, given that it finally comes to rest 0.5 meters below the point of release and that the motion is critically damped?
The motion is critically damped is 0.69 m.
What is meant by mass of object?The mass of a body is the amount of matter it contains. It is a scalar value. Weight: A body's weight is the force with which the earth attracts it. It is the effect of gravity.
The property of matter that measures its resistance to acceleration in physics. The mass of an object is roughly equal to the number of atoms in it. The kilogram is the fundamental unit of mass measurement. Weight = mass multiplied by gravity's acceleration
critically damped: βω0.
x = [tex]$\left(C_1+c_2 t\right) e^{-\beta t}$[/tex] = 2 J t = 0
[tex]$\dot{x}=\left(c_1+c_2 t\right)\left(-\beta e^{-\beta b}\right)+c_2 e^{-\beta t}$[/tex] = 0 st = 0
[tex]$c_1=2 . \quad c_2=\beta \cdot 2$[/tex]
Now, [tex]$\omega_0=\sqrt{\frac{b}{m}}$[/tex]
Let the equation be mg = k . 2
so, √g/2 = √k/m = [tex]$\omega_0$[/tex]
[tex]$c_1[/tex] = 2, [tex]$c_2[/tex] = √(8/2) × 2 = 2√5
x = [tex]$(2+2 \sqrt{5} t) e^{-\sqrt{5} t}$[/tex] or [tex]$(2+2 \sqrt{3}) e^{-\sqrt{s}}$[/tex] = 0.69 m
Therefore the motion is critically damped is 0.69.
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A spherical object has a certain density. If it is compressed under high pressure to half of its original diameter, its density will now be.
To calculate the density, known the volume and density formula.
What is density?
How tightly a material is packed together is determined by its density. The definition of it is the mass per unit volume. Density Formula: D = m/V, where D stands for density, m for mass, and V for volume, denotes the mass and volume of the object, respectively.
What is volume?
Any three-dimensional solid's volume is simply the amount of space it takes up. A cube, cuboid, cone, cylinder, or sphere can be one of these solids.
Let mass of the sphere be m and radius be r, then,
m= v × p ∴ v= volume
or
m= 4/3πr³× p⇒1
now new diameter, d¹= 1/4d and d=2r
so, d¹= 1/4 × 2r⇒ d¹=1/2r also,
d¹=2r¹ so, 2r¹ = 1/2r⇒ r¹= 1/4r
logs is same, there is no change in it then,
m=v¹×p¹
m=4/3πr¹^3ₓp¹
or m=4/3π(1/4r)^3×p¹⇒2
(1) is equal to (2) so,
4/3π(1/4r)^3×p¹=4/3πr^3×p
1/64r^3×p¹ = r^3×p
p¹=64p
Therefore denisty will be 64.
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Evaluate the sentence.
“Before the current can flow, the battery must first fill the wire with electrons.”
Correct or incorrect? Why?
Current is generated from the flow of electrons. To generate current the circuit must be complete. Hence, the battery must fill with the wire of electrons.
What is battery?A battery is an electrical component to power electronic devices. It is working with the principle of electrolysis. Where an electrolyte is used in which the two electrodes are dipped.
A redox reaction taking place there generate a chemical energy and which then converted to the electrical energy.The electron flow must be connected to a complete circuit.
Hence, without filling the electron in the battery it may not work. When it is connected with the wire to the external circuit it will passes the current to the devices.
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if an alpha particle (2 protons) experiences an electric force of 0.250 n at a point in space, what electric force would a proton experience at the same point?
electric force would a proton experience at the same point is .156 × 10⁻¹⁹ N/C.
Electric field :
The electric field is the amount of electric force per charge, and the electric force on a charge at a given point in space is the amount of charge multiplied by the electric field at that location.
E = F/q
where,
E = electric field
F = force
q = charge
A force experienced by an alpha particle = 0.250N
E = F/q
E = 0.250 /1.6 × 10⁻¹⁹
E = 0.156 × 10⁻¹⁹ N/C
electric force would a proton experience at the same point is .156 × 10⁻¹⁹ N/C.
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for an elastic collision, why do the carts start interacting even though they never physically touch?
An example of a collision without physical contact is a charged particle being deflected by another charged particle as they travel by one another.
Another illustration is a gravitational slingshot, in which a light object moves around a much heavier object to accelerate. A collision does not require the objects to actually touch; for instance, an asteroid passing by the earth is seen as one since its course is altered by the gravitational pull of the planet. The conservation of momentum and energy can still be used to assess the collision. Yes, even without direct touch, an accident may still occur.
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true or false? a block slides at constant speed down a ramp while acted on by three forces: its weight, the normal force, and kinetic friction. the combined net work done by all three forces on the block equals zero
When a block slides at constant speed down a ramp while acted on by the forces.
A. True
B. False
C. False
The magnitude of dynamic friction is directly proportional to the magnitude of the normal force and the roughness between the sliding surfaces. The magnitude of static friction is directly proportional to the magnitude of the normal force and the roughness between the sliding surfaces. The normal force is not necessarily equal to gravity, but the force perpendicular to the surface on which the object is sliding.
In other words, the normal force is the force that pushes two surfaces together, and the stronger the normal force the stronger the frictional force. Another fairly common force is the frictional force. Similar to the normal force, it is caused by direct contact between surfaces. However, normal forces are always perpendicular to the surface while frictional forces are always parallel to the surface.
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two balls of mass 4kg and 2kg are moving with speed 10 m/s and 8m/s respectively with the ball of heavier mass behind the lighter ball
Answer:
Explanation:
And what to find in the problem?
a crane lowers a metal beam into place at constant speed. which is true about the work done by the gravitational force (wg) and the work done by the tension in the cable (wt) as the beam is lowered? a) wg>0 and wt>0 b) wg>0 and wt<0 c) wg<0 and wt>0 d) wg<0 and wt<0 e) wg
The work done by gravitational force and tension in the cable is wg > 0 and wt <0. option 2 is correct.
The work done by the force is given as :
W = Fdcosθ
where
F= force
d = displacement
θ = angle between directions of F and d
when force and displacement are parallel then :
θ = 0
cosθ = ±1
so work done is positive
when force and displacement are anti-parallel then :
θ = 180°
cosθ = -1
so work done is negative.
then crane is moving downward. the force is also downward and tension is upward.
The work done by gravitational force and tension in the cable is wg > 0 and wt <0. option 2 is correct.
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Problem 3) A 70 ft long, 0. 5 in diameter hose with a roughness of 0. 0009 ft is fastened to a water faucet where the pressure is P1, Determine P1 if there is no nozzle attached and the average velocity in the hose is 6 ft/s Neglect minor losses and elevation changes. Repeat the problem if there is a 0. 25 in diameter nozzle attached to the end of the hose
If there is no nozzle attached and the average hose velocity is 6 ft/s, determine p. Neglect little elevation changes and losses. = 70f7.
Explain about the Velocity?Velocity, as opposed to speed, refers to the pace and direction of an object's movement as it moves down a path. In other words, whereas velocity is a vector, speed is a scalar quantity.
Simply said, velocity is the speed at which an object is moving in a particular direction. using a car travelling north on a highway as an illustration or a rocket after it has taken off as an illustration of speed. Scalar implies that the absolute magnitude of the velocity vector will always equal the speed of the motion.
186,282 miles per second is another way to express the speed of light. In dry air, the speed of sound is 343.2 meters per second.
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a moving hammer hits a nail and drives it into a wall. if the hammer hits the nail with four times the speed, how much deeper will the nail be driven? (assume that all of ke goes into work)
According to the work-energy theorem, twice the speed corresponds to 4 times the energy and 4 times the driving distance.
What is energy?There are different forms of energy on earth. The sun is considered the elementary form of energy on earth. In physics, energy is considered a quantitative property that can be transferred from an object to do work. Therefore, we can define energy as the force required for any physical activity. So we can define energy in simple words as follows Energy is the ability to do work According to the laws of conservation of energy, "energy can neither be created nor destroyed, it can only be changed from one form to another". The SI unit of energy is the joule.
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an art student is designing a large mobile with the dimensions shown below. object c has a mass of 1 kg, and objects b and c are in balance. what does the mass of object a need to be to balance objects b and c?
The mass of object a need to be to balance objects b and c is 12kg
Find man of b
1=[tex]\frac{m_{c}}{m_{b}+m_{c}}[/tex]×4
1=[tex]\frac{1}{1+m_{b} }[/tex]×4
[tex]m_{b}[/tex]=3kg
1=[tex]\frac{(m_{b}+m_{c} )}{m_{a} +(m_{b} +m_{c} )}[/tex] ×4
1=4×4/[tex]m_{a}[/tex]+4
[tex]m_{a}[/tex]=12kg
As a measure of inertia, which is a fundamental characteristic of all matter, mass is used in physics. Effectively, it is the resistance a body of matter offers to a change in its speed or position as a result of the application of a force. The change caused by an applied force is proportional to the mass of the body. The kilogram is the measure of mass in the International System of Units (SI). Its definition is based on the Planck constant, which is set at 6.62607015 1034 joule second. The unit of energy known as a joule is one-kilogram times one square meter per second. The kilogram is determined by precise measurements of Planck's constant, while the second and metre are previously defined in terms of other physical constants.
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A person standing on a hill throws a ball horizontally with a velocity of 12m / s The ball lands 10.1 m away from the hill. How tall is the hill? Assume no air resistance
A.3.5
B.6.9
C.0.84
D.0.42
The height of a hill from which the person throws a ball horizontally with a velocity of 12 m/s and the ball lands 10.1 m away from the hill is 3.47 m.
What is the height of a hill from which the person throws a ball horizontally with a velocity of 12 m/s and the ball lands 10.1 m away from the hill?The height of a hill from which the person throws a ball horizontally with a velocity of 12 m/s and the ball lands 10.1 m away from the hill is calculated as follows;
The ball was projected horizontally from the top of a hill, therefore, there is no vertical component of the velocity of projection and the object is considered to be undergoing free fall under gravity from a height, h.
The height from which an object falls freely under gravity is calculated with the formula below:
H = gt²/2
where g is the acceleration due to gravity = 9.81 m/s²
t is time.
the time taken for the fall = horizontal distance / velocity
t = 10.1 / 12
t = 0.841 s
Therefore;
h = 9.81 * (0.841)² / 2
h = 3.47 m
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