The position of the image of the person is 0.5 cm.
What is meant by focal length?An optical system's focal length is the inverse of its optical power; it indicates how strongly the system converges or diverges light. A positive focal length system converges light, while a negative focal length system diverges light.
The rays are bent more sharply in a system with a shorter focal length, bringing them closer to focus or diverging them faster. For the special case of a thin lens in air, a positive focal length is the distance over which initially collimated (parallel) rays are brought to a focus.
Given,
Focal length=75mm
Height of the person=2.7m
f=((1/f)-(1/p))⁻¹
f=fp/p-f
Thus, the height of the image is
[tex]h_{i}[/tex]=m[tex]h_{p}[/tex]
[tex]h_{i}[/tex]=(i/p)[tex]h_{p}[/tex]
[tex]h_{i}[/tex]=f[tex]h_{p}[/tex]/p-f
[tex]h_{i}[/tex]=(75mm)(1.80m)/(27m-0.075m)
[tex]h_{i}[/tex]=5mm
[tex]h_{i}[/tex]=0.5 cm
The position of the image of the person is 0.5 cm
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in order for the earth to be at rest in the center of the system of the sun, planets, and planets, and comets, there is required both universal gravity and another force in addiction that acts on all bodies equally meaning
In order for the earth to be at rest in the center of the system of the sun, planets, and planets, and comets, there is required both universal gravity and another force in addiction that acts on all bodies equally meaning Gravitational force.
Newton's law of universal gravitation states that every object attracts every other object with a force.
That is exactly the form of the gravitational force, with the generic gravitational regular G as the regular of proportionality. consequently, Newton's legal guidelines of motion, with a gravitational force used within the second regulation, imply Kepler's legal guidelines, and the planets obey the equal laws of movement as objects at the surface of the Earth.
The pressure of gravity, or gravitational force, pulls items with mass in the direction of each other. We often consider the force of gravity from Earth. This pressure is what keeps your frame on the floor. however, any object with mass exerts a gravitational force on all different items with mass.
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light from an argon laser strikes a diffraction grating that has 5,735 lines per cm. the first-order principal maxima are separated by 0.5 m on a wall 1.76 m from the grating. what is the wavelength of the laser light in nm? enter an integer.
The wavelength of the laser light is 514nm.
The principal maxima are defined by
d sin∅ = mλ (m=0,1,2.3...)
For m = 1, λ = d sin Φ
The angle and first order (m=1) maxima are located here between the center (m=0),.
The information provided regarding the distance between maxima and the grating-to-screen distance can be used to calculate the value of:
Tan Ф = 0.5m/1.76 m = 0.284
Therefore, Ф = 15.8° and sin Ф = 0.273
The inverse of the number of grating lines per centimeter is used to determine how far apart grating "slits" are.
d = 1/5735cm⁻¹ = 1.88×10⁻⁴cm = 1.88×10³ nm
What is wavelength?
A waveform output that is carried in space or down a wire has a wavelength, which is the separation between two equal places (adjacent crests) in the consecutive cycles.
The wavelength is λ = d sinФ = (1.88 ×10³nm) (0.273) = 514nm
Therefore, the wavelength of the laser light is 514nm.
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The wavelength of the laser light is 514nm.
What is wavelength?
A waveform output that is carried in space or down a wire has a wavelength, which is the separation between two equal places (adjacent crests) in the consecutive cycles.
The principal maxima are defined by
d sin∅ = mλ (m=0,1,2.3...)
For m = 1, λ = d sin Φ
The angle and first order (m=1) maxima are located here between the center (m=0),.
The information provided regarding the distance between maxima and the grating-to-screen distance can be used to calculate the value of:
Tan Ф = 0.5m/1.76 m = 0.284
Therefore, Ф = 15.8° and sin Ф = 0.273
The inverse of the number of grating lines per centimeter is used to determine how far apart grating "slits" are.
d = 1/5735cm⁻¹ = 1.88×10⁻⁴cm = 1.88×10³ nm
The wavelength is λ = d sinФ = (1.88 ×10³nm) (0.273) = 514nm
Therefore, the wavelength of the laser light is 514nm.
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suppose that instead of steel balls we use putty balls. they will collide inelastically and remain stuck together after the collision. how high will the balls rise after the collision?
The law of conservation of momentum and collision, after collision, the kinetic energy will become zero, and the balls rise after the collision is 15.4cm.
What is the law of conservation of momentum?
Momentum is neither created nor destroyed inside a problem domain, according to the principle of momentum conservation, but only modified by forces acting in accordance with Newton's equations of motion.
What is collision?
The abrupt, violent coming together in close proximity of two bodies, such as two billiard balls, a golf club and a ball, a hammer and a nail head, two railroad carriages when coupled, or a falling object and a floor Collision is also known as "impact."
The concepts used to solve this problem are conservation of energy and conservation of momentum.
Initially, use the conservation of energy to find the height that the other ball raises.
Finally, use the conservation of momentum before and after collision to find the height of the putty ball after collision.
The conservation of energy principle is stated as follows:
“Total energy of an isolated system under the action of only conservative forces remains constant.”
The saved energy in an object due to its position is called potential energy.
Explanation:
Momentum is conserved in inelastic collision. Total energy is equal to potential plus kinetic energy.
At equilibrium position, in total energy, the potential energy will become zero before collision.
After collision, the kinetic energy will become zero.
Therefore, after collision, the kinetic energy will become zero, and the balls rise after the collision is 15.4cm.
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Which two statements describe behaviors of particles that are related to the physical properties of the materials?.
A and C are the two assertions that define the actions of particles in relation to the physical characteristics of the materials.
Which one is a physical asset?A quality of matter that is unrelated to a change in its chemical makeup is called a physical property. Density, color, toughness, melting , boiling points, & electrical conductivity are common examples of physical qualities.
Why are physical characteristics significant?In order to observe and characterize matter, physical attributes are used. Physical characteristics of substances and systems are frequently referred to as extensive and intensive characteristics. This classification deals to how the attributes rely on how big or big the system or thing is.
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The correct question is :
Which TWO statements describe behaviors of particles that are related to the
physical properties of the materials?
A. They allow electrons to move freely between them.
B. They do not easily form bonds with atoms of other elements.
c. They change their positions relative to one another.
D. They combine with oxygen atoms to form a new substance.
question 27 a student slides her 80.0-kg desk across the level floor of her dormitory room a distance 4.00 m at constant speed. if the coefficient of kinetic friction between the desk and the floor is 0.400, how much work did she do?
The work done by the student in moving the desk of mass 80 kg is 1,216J
The mass of the desk = 80 kg
The distance of the desk moved by the student = 4 meter
The coefficient of kinetic friction = 0.4
The work done by the student can be found using the formula,
W = F x d
where W is the work done by the student
F is the frictional force
d is the distance moved
Let us find the frictional force first
F = μmg cosθ
where μ is the coefficient of friction
m is the mass of the object
F = 0.4 x 80 x 9.8 x cos 0
= 304 N
Then, the work done is
W = 304 x 4
= 1,216 J
Therefore, the work done is 1,216 J
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identify the component that converts direct current (dc) into the alternating current required to power the electric motors.
A component that converts direct current (dc) into alternating current (ac) is an inverter.
The electrical current in direct current (DC) only flows in one direction. The electrical current in alternating current (AC) can flow in both ways. The electrons in AC can switches back and forth at some intervals. The inverter is a device that can offer precise variable control of the speed of a motor and it changes the direct current (DC) to alternating current (AC).
The inverter has a part that is like an electronic circuit that regulated voltages to work, so we can convert DC to AC, and we can change back into DC again.
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karen runs sets in basketball practice. she starts from a line, runs 2.0 m, returns to the line, runs 4.0 m, returns to the line, and runs 6.0 m. what is her distance and displacement?
The distance covered by karen is 18 meter and the displacement is 6 meters.
What is the difference between distance and displacement?
Distance : The path between any two points which is completely covered, length of such path is known as distance.
It is denoted by d.
There is no need of direction for calculating a distance.
It is a scalar quantity.
Displacement: the minimum path covered between any two points and is a direct length, such length is known as displacement.
It is denoted by s.
The direction is taken into consideration for calculating displacement.
It is a vector quantity.
As karen starts from a line, runs 2.0 m, returns to the line, runs 4.0 m, returns to the line, and runs 6.0 m. so her total distance = 2+2+4+4+6= 18 m
We added 2 and 4 two times because he started and returned to the same line.
Displacement= 6m as her final displacement – initial displacement= 6-0=6m
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A string is wrapped around a pulley with a radius of 2. 0 cm. The pulley is initially at rest. A constant force of 50 n is applied to the string, causing the pulley to rotate and the string to unwind. If the string unwinds 1. 2 m in 4. 9 s, what is the moment of inertia of the pulley?.
The moment of inertia of the pulley if a string is wrapped around a pulley with a radius of 2.0 cm and a constant force of 50 N is applied to the string is 0.2 kg m²
s = ut + 1 / 2 at²
u = 0
s = 1.2 m
t = 4.9 s
1.2 = 0 + 1 / 2 * a * 4.9²
1.2 = 12.01 a
a = 0.0999 m / s²
a = r α
a = Tangential Acceleration
α = Angular Acceleration
r = 2 cm = 0.02 m
α = a / r
α = 0.0999 / 0.02
α = 4.995 rad / s²
I = τ / α
τ = r F
I = Moment of inertia
τ = Torque
F = Force
F = 50 N
τ = 0.02 * 50
τ = 1 N m
I = 1 / 4.995
I = 0.2 kg m²
Therefore, the moment of inertia of the pulley is 0.2 kg m²
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if the front sprocket (driver) is rotating at 100 rpm: a) what is the angular speed of the back (driven) sprocket?
The calculated value is 240 rpm. The driving sprocket is the one fastened to the pedals or the engine crankshaft, and the driven sprocket is the one fastened to the back wheel.
Omega is the symbol for angular speed, the angle of rotation is stated in radians, and the time required to complete the rotation is t. Sprocket ratio equals T1/T2.
The sprocket ratio is 20/80
= 1/4
= 1:4, or simply 4,
if the front and rear sprockets on a bicycle each have 20 teeth.
Ratio of the sprockets is T1/T2 = V1/V2.
When the driving sprocket is turned at 60 revolutions per minute, the rear wheel and sprocket spin at:
V2 = 240 rpm;
1/4 = 60/V2 rpm.
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In a tennis serve, a 0.070 kg ball can be accelerated from rest to 35 m/s over a
distance of 0.80. Find the force exerted on the ball during the serve.
antangonists function by?
Answer:7777
Explanation:
Answer:
Explanation:
An antagonist does the opposite of an agonist. It binds to receptors, and stops the receptor from producing a desired response.
when two parallel lines are cut by a , then eight angles are formed around the transversal. there are actually only two different angle measures formed; four angles measure congruent, (greater than 90 degrees) and the other four angles measure acute, unless the transversal is perpendicular forming eight angles. we also have angle pairs that are formed. angles f and g are called angles and are congruent. angles a and e are called angles and are congruent. angles c and f are called alternate interior angles and are congruent. angles c and e are called same side interior and are . angles f and h are also supplementary because they make a angle.
When two parallel lines are cut by a , then eight angles are formed around the transversal.
What is angle?
An angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle. Angles formed by two rays lie in the plane that contains the rays. Angles are also formed by the intersection of two planes.
Types of angle:
Acute Angles.
Obtuse Angles.
Right Angles.
Straight Angles.
Reflex Angles.
Full Rotation
When two parallel lines are cut by a , then eight angles are formed around the transversal.
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A driver is going 25 m/s down the road when they spot a deer jump out in front of them. It takes them 0.75 seconds to react and apply the brakes. The brakes provide an acceleration of -8 m/s/s. How far do they travel before coming to a stop from the moment they saw the deer? (round your answer to the nearest whole meter)
They travel 16.5 m distance before coming to a stop from the moment they saw the deer.
Distance measures the length between objects or points without regard for direction. Distance is a scalar quantity.
We can define it as to how much ground an object has covered despite its starting or ending point.
Velocity = 25 m/s
Time = 0.75 sec
acceleration (a) = -8 m/s^2
As we know the distance formula,
s = ut + 1/2 at^2
=25×0.75 + 1/2 × (-8)×0.75×0.75
=18.75 - 2.25
=16.5
Hence, total distance travel by them is 16.5 m.
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the vibration packages dropped from a height of h meters can be approximated by considering fig.2 and modeling the point of contact as an impulse applied to the system at the time of contact. calculate the vibration of the mass m after the system falls and hits the ground. assume that the system is underdamped.
The vibration of a package dropped from the top of h meters may be approximated by thinking about figure P3.10 and modeling the factor of touch as an impulse.
Vibration is a mechanical phenomenon whereby oscillations arise about an equilibrium factor. The word comes from the Latin vibration. The oscillations can be periodic, along with the movement of a pendulum or random, such as the movement of a tire on a gravel street.
Vibration is a speedy back-and-forth motion of a frame approximately a vital function. The amplitude of an oscillation is the maximum displacement of the bob from its mean role at some point of oscillation. Ultrasonic waves are sound frequencies above 20,000 Hz, which human beings can't listen to those waves.
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a ball is thrown upward with a speed of 50 ft/s from the edge of a cliff that is 2100 ft above the ground. at what time t does the ball hit the ground? (recall that acceleration due to gravity is 32 ft/s2. round your answer to two decimal places or enter an exact answer.)
The time t the ball hit the ground is 11.3494 Sec.
Acceleration is the rate of change of the velocity of an item with appreciation to time. Accelerations are vector portions. The orientation of an item's acceleration is given by the orientation of the net pressure appearing on that object.
Calculation:-
S = ut + 1/2 at²
2100 = 50t + 0.5 × 32 t²
16 t² + 50t - 2100 = 0
T = 11.3494 Sec
Acceleration is the charge at which velocity modifications with time, in terms of each speed and route. A factor or an object moving in a straight line is accelerated if it quickens or slows down. movement on a circle is extended despite the fact that the rate is consistent because the course is continually changing.
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in a completely inelastic collision between two objects, where the objects stick together after the collision, is it possible for the final kinetic energy of the system to be zero?
Yes, the final kinetic energy of the system can be zero if the collision is head-on and both objects have the same magnitude of momentum.
What is kinetic energy?Kinetic energy is the energy that an object has as a result of motion. To accelerate an object, a force must be supplied to it. To apply a force, we must exert effort.Energy is transferred to the object once the work is finished, at which point it moves at a new, constant speed.The energy of motion is known as kinetic energy, and it can be observed in the motion of a particle, an object, or a collection of particles. A person walking, a baseball being thrown, a piece of food falling from a table, or a charged particle in an electric field are all examples of moving objects that consume kinetic energy.To learn more about kinetic energy from the given link :
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radiation dosages based on potential damage is in group of answer choices a. rads. b. joules. c. rems. d. none of the above
Using the theories of radiation dosages, we got that radiation dosages based on potential damage is in c)rems.
A dose of medical radiation is not like the dose of medicine. When it comes to the radiation dose, there are different types of and units of measurement.
When we think of the dose of the medication, we think of an absolute measurement of the quantity which we take. But radiation isn't measured by the quantity we take.
Radiation from the medical examinations is similar to sunlight. The effect of the sunlight on the skin depends on the light's intensity and how long a person stays in it.
Sunlight Effecting Factors are:
IntensityLength of exposureSensitivity of the skinHence, radiation dosages based on potential damage is in c)rems
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the wheel is composted of a 10 kg hoop stiffened by 4 thiin spokes, each with a mass of 2 kg. a horizontal force of 40 n is applied to the wheel initially at rest. calculate the angular velocity of the wheel after its center has moved 3 m
The Angular velocity is 1.165 rad/s.
What is horizontal force?
Horizontal force is defined as a force applied in a direction perpendicular to the horizon. There are two parts to the force applied to a body: a horizontal component as well as a vertical component. The horizontal component of a force, as its name implies, is directed parallel to the surface, while the vertical component is directed perpendicular to a position of the body. In nature, almost all moving things have both vertical and horizontal components of force.
F = 40 N
m= 10 kg = 98.1 N
r= 0.3 m
Circumference of circle = 1.884 m
The Centre of the circle moves 1.884 m then the angle of rotation is 360
Applying the circle arc length formula (s = r θ)
s= 3 -1.884 = 1.116m
θ= 2310
F = m x v2 /r
V = sqrt(F x r/m)
= sqrt(40 x 0.3 / 98.1)
= 0.35 m/s
Angular velocity ω,
= v/r
= 0.35/0.3
=1.165 rad/s
Hence, the angular velocity is 1.165 rad/s
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a 150kg monkey hangs from a cord suspended from the ceiling of an elevator. the cord can withstand a tension of 200N and breaks as the elevator accelerates. what was the elevators minimum acceleration (in magnitude and direction,
Answer:
The elevator moves up with an acceleration of 3.5 m/s²
Explanation:
Given:
m = 15 kg (not 150!! :))
Tmax = 200 N
g = 9.8 m/s²
____________
a - ?
The elevator moves up with an acceleration a:
Tmax = m·(g + a)
g + a = Tmax / m
a = Tmax / m - g
a = 200 / 15 - 9.8 ≈ 3.5 m/s²
a student lifts a weight of 10.0 n a distance of 0.5 meters. if this exercise is repeated 50 times in 100 seconds, then the power of this exercise is: a. 2.5 watts. b. 3.1 watts. c. 3.6 watts. d. 4.0 watts. e. 4.8 watts.
The option E is correct. 4.8 watts, The quantity of energy moved or converted per unit of time is known as power in physics. The watt, or one joule per second, is the unit of power in the International System of Units.
Power is also referred to as activity in ancient writings. A scalar quantity is power. Power is an expression of energy expended through time (effort), of which force is an element, as opposed to force itself, which is the fundamental outcome of an interaction between two objects. Power can be measured and described, but a force is a real physical entity, but power is not. W = mgh
=10*9.8* 0.5
=49 newton
P= W/T
=49/ 100
=4.8 watts
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A recreational flyer does not need an airspace authorization in which type of airspace?.
A recreational flyer does not need an airspace authorization in uncontrolled airspace.
An airspace in which the Air Traffic Control service is not considered necessary is called uncontrolled airspace.
In general, an uncontrolled airspace remains at 400 or under 400 levels surpassing the ground.
Moreover, in an uncontrolled airspace the recreational flyer does not need any prior authorization and should also have particular knowledge about the airport traffic patterns
To put it simply, the remote pilots and flyers are not allowed to use landing and take off areas in an uncontrolled airspace.
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How can gas density be used to explain why hydrogen rises in air and carbon dioxide sinks?
Answer:
Explanation: The density of gas differentiates all the varieties of gas present in the atmosphere.
HYDROGEN- it is a lighter gas having a lesser density.
For example, a hydrogen balloon displaces the air around it thus making it rise.
CARBON DIOXIDE: It is a denser gas as it makes the balloon heavier than the air pressure around it thus making it sink.
I hope the explanation was helpful. :)
a beam of electrons is fired into a region of uniform magnetic field with a speed of 89200 m/s. what uniform magnetic field strength, applied perpendicular to the direction of the beam, will deflect the beam into a circular arc with radius of 3.23 mm?
The strength of the magnetic field required, applied perpendicular to the direction of the beam, that will deflect the beam of electrons into a circular arc with radius of 3.23 mm is 0.157 x 10^-3 T.
Explain the motion of electrons in a uniform magnetic field.
Because magnetic force is always perpendicular to velocity, the charged particle is not affected by it. The kinetic energy and speed of the particle stay unchanged as a result. Motion's speed is unaffected, only its direction. Uniform circular motion frequently looks like this. The most straightforward scenario is when a charged particle moves perpendicular to a constant B-field. (If this happens in a vacuum, the magnetic field is what mostly controls the motion.) Here, the centripetal force is provided by the magnetic force (Lorentz force).
Cyclotron resonance is the word used to describe a particle moving in a circular pattern as a result of a constant magnetic field.
Equating the centripetal force and magnetic force we get,
r= mv/qB
we find
B= mv/er
where m is the mass of electrons
e is the charge of electrons
B = (9.11×10 ^−31 kg)(89200 m/s)/ (1.60×10 ^−19 C)( 3.23 x 10^-3 m)
= 157239.164 x 10^-9
= 0.157 x 10^-3 T
Hence, the strength of the magnetic field required to deflect the beam of electrons is 0.157 x 10^-3 T
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A driver takes her car to the market 40m in one direction then after shopping, she drives the car back to her house 40m in the opposite direction. What is the total displacement?
Motion of car from market 40 m in one direction then after shopping, she drives the car back to her house 40 m in the opposite direction. he total displacement is 0 meter.
What is motion?The phenomenon of an item changing its position with respect to time is known as motion in physics. In mathematics, displacement, distance, velocity, and acceleration are used to explain motion.
Displacement is change in distance between two points.
Motion of car from market 40 m in one direction then after shopping, she drives the car back to her house 40 m in the opposite direction. he total displacement is 0 meter.
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calculate the minimum number of 15-ampere lighting branch circuits required in a residence of 1,850 square feet.
4 number of 15-ampere lighting branch circuits required in a residence of 1,850 square feet.
since we are provided with 15-ampere branch circuits, and the measurement for the residence is 1850 square feet .So first,
=>3 volt ampere x 1,850 /120 volts
=> 5,550 volt-amperes/120 volts
=> 46.25 amperes
Now we will divide the above value by the number of branch circuits
=>46.25/15 amperes = 3.08 = 4
So almost 4 branches are required for the given feet of a residence
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velocity and acceleration quick check 2 of 52 of 5 items question use the data table to answer the question. it shows the acceleration of a body when a net force is applied to it. net force (n) mass (kg) acceleration (m/s2) 5.0 5.0 1.0 10.0 5.0 2.0 20.0 5.0 which value would complete the last cell?
Answer:
N/A
Explanation:
Please word this better.
Answer:4.0
Explanation:
I got it wrong and it said this was the answer
If the pressure of a gas is tripled and the absolute temperature of the gas is quadrupled, by what factor will the volume of the gas change?.
The volume of the gas change by a factor 4/3.
An ideal gas is a theoretical gas composed of many randomly transferring factor particles that aren't difficult to interparticle interactions. the best gasoline idea is beneficial because it obeys the precise gas law, a simplified equation of country, and is amenable to evaluation under statistical mechanics.
Calculation:-
From the ideal gas equation
PV = nRT
V = nRT/P
where n and R are constant
new changes
P' = 3P
T' = 4T
V = nR4T/3P
Hence, the volume changed by a factor of 4/3.
Volume is a degree of occupied three-dimensional space. it's far more frequently quantified numerically the usage of SI-derived gadgets or by way of diverse imperial gadgets. The definition of length is interrelated with the extent.
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A satellite with a mass of 718 kg is placed at an altitude of 1342
km above the surface of Triton. What is the strength of the
gravitational force on the satellite?
646 N is the strength of the gravitational force on the satellite
F=GmM/r²
satellite mass= 718 kg
mass of triton=1.35x10*23 kg
r= 352500m
F=GmM/r²
F=6.67×10^-11×718 kg×1.35x10*23 kg ÷(352500m)²
F=646 N
The gravitational subject has course, much as other electromagnetic fields just like the electric powered and magnetic fields. it's far a vector subject as a end result. The gravitational discipline power, which has the unit Newtons consistent with kilogram, is used to degree the gravitational discipline. This area force has a endless range and is constantly attracting.
The electromagnetic area, or the electrical and magnetic fields for charged debris and magnets, is comparable to the gravitational discipline. due to the fact electromagnetic discipline forces are stronger than gravitational field forces, they take priority over them.
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An airplane is flying in a horizontal circle at a
speed of 105 m/s. The 87.0 kg pilot does not
want the centripetal acceleration to exceed
6.27 times free-fall acceleration.
Find the minimum radius of the plane's
path. The acceleration due to gravity is 9.81
m/s².
Answer in units of m.
An airplane is flying in a horizontal circle at a speed of 105 m/s. 179.2 m is the minimum radius of the plane's.
What is centripital acceleration?Centripetal acceleration is defined as the property of the motion of an object, traversing a circular path. Any object that is moving in a circle and has an acceleration vector pointed towards the center of that circle is known as Centripetal acceleration.
The force causing this acceleration is directed also toward the centre of the circle and is named centripetal force
Centripital acceleration = velocity² ÷ radius of the circle
According to the question:
centripital acc ≤ 6.27g
velocity² ÷ radius of the circle ≤ 6.27g
v²÷ R = 6.27× 9.81
= 61.5
Radius of the planes path = V²÷61.50
= {105×105}/61.50
= 179.2 m
Radius of the planes path = 179.2 m
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an electron is accelerated from rest by a potential difference of 320 v. it then enters a uniform magnetic field of magnitude 230 mt with its velocity perpendicular to the field. (a) calculate the speed of the electron.
Answer: 1.42 sec
Explanation:
The object is dropped from the height. So initial velocity, u = 0 m/s.
Height = 10m and Acceleration = g = 9.8 m/s² (or g can be approximated to 10 m/s²)
Using the Second equation of motion;
s = ut + (1/2) at²
~ 10 = 0 + (1/2) gt²
~ t² = 20/9.8 = 100/49
~ t = 10/7 seconds = 1.42 seconds