The period of a simple pendulum is T = 2π√l/g and T = 2π√m/k
What is the period of a simple pendulum?The time period of a simple pendulum is equal to the time it takes to complete one Oscillation. The period of a simple pendulum depends on the length of the string, and acceleration due to gravity. In simple pendulum , the mass of the pendulum does not after the period.
But in spiral spring, the period depend on the elastic constant 'k' and mass of the load.
Therefore the period of a simple pendulum is can be given in two forms:
T = 2π√l/g and
T = 2π√m/k
where m is the mass of the load
l is the length of the spring and g is the acceleration due to gravity.
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A 0.15 kg marble sliding to the right at 2.5 m/s on a frictionless surface makes a head-on collision with a 0.25 kg marble moving
to the left at 3.0 m/s. After the collision, the first marble moves to the left at 2.8 m/s. How fast does the second marble move to
the right?
Answer: 0.18 m/s
Explanation:
This is a conservation of momentum problem. Total momentum before the collision must equal the total momentum after the collision.
Momentum = p = mv
let x = velocity of the second marble after the collision
(0.15 kg)(2.5 m/s) + (0.25 kg)(-3.0 m/s) = (0.15 kg)(-2.8 m/s) + (0.25 kg)(x)
-0.375 kg·m/s = -0.42 kg·m/s + (0.25 kg)x
(0.25 kg)x = (0.42 - 0.375) kg·m/s = 0.045 kg·m/s
x = (0.045 kg·m/s) / (0.25 kg) = 0.18 m/s
a car traveling at 80 feet/sec decelerates at a constant rate so that it comes to a complete stop after 30 seconds. how far does the car travel in that time?
19.15 feet is the distance the car travel in that time when a car traveling at 80 feet/sec decelerates at a constant rate so that it comes to a complete stop after 30 seconds.
What is deceleration ?Deceleration is described as a reduction in speed as the body advances away from the beginning position.The opposite term of acceleration is defined as deceleration. It is written as. Also negative acceleration is another name for deceleration.Solution:To find the constant deceleration rate we use a = Δv/Δt.
a=80feet/sec/30s
a=-2.66 m/s^2
now to find the distance travelled
s = 80*-2.66 *30^2 =19.15 feet (where s= distance)
Hence,19.15 feet is the distance the car travel in that time when a car traveling at 80 feet/sec decelerates at a constant rate so that it comes to a complete stop after 30 seconds.
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the absolute temperature of a sample of monatomic ideal gas is doubled at constant volume. what effect, if any, does this have on the pressure and density of the sample of gas?
a. Remains the same Remains the same
b. Remains the same Doubles
c. Doubles Remains the same
d. Doubles Is multiplied by a factor of 4
e. Is multiplied by a factor of 4 Doubles
Mostly on density and pressure of the gas sample, doubles remain the same.
What is temperature called?Both freezing and boiling temperatures of water serve as the foundation for the two most popular test temperatures, Celsius (C) or Fahrenheit (F). There are 100 steps between the two locations on the Celsius scale and 180 on the Fahrenheit scale. Additionally, scientists employ the Kelvin units of the International System (K).
What is temperature and heat?Definition. The entire energy of all internal molecular motion makes up an object's heat. The heat conduction or average temperature of a molecules within a substance is measured by temperature. S.I. Unit.
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The half-wave rectifier circuit of Fig. 1 ha a tranformer inerted between the
ource and the remainder of the circuit. The ource i 240 V rm at 60 Hz, and the
load reitor i 20 Ω. (a) Determine the required turn ratio of the tranformer uch
that the average load current i 12 A. (b) Determine the average current in the
primary winding of the tranformer
(a) ratio = 0.32 One the average current with in primary coil of the tranformer.
(b) The load current is 753.6 volts, and the transformer's required turn ratio is 12. The mean load current is 12.
What is current?Charge moves across a point on such a circuit at a rate known as current. When numerous coulombs of charge pass over a wire's cross section in a circuit, a large current is the result. It is not necessary to have a fast speeds to have a large current if the positive ions are tightly packed inside the wire.
Briefing:Source = 240Vrms/ 60Hz
Resistor = 20 ohm
Avg. load current = voltage/ resistance * pi
= 12A times (20*3.14)
load current = 753.6 volts
ratio = Vp/Vs
ratio = 240/754
ratio = 0.32 A
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Try to make only one molecule of water in the simulation. Is it possible?
In the simulation, an oxygen atom by itself doesn't exist. There are always two atoms of oxygen.
Why are you unable to operate with a single water molecule in your lab?A single water molecule is quite tiny. Since humans are unable to see or feel a single molecule, we are unable to measure or otherwise handle it in the laboratory.
How many molecules are required to create one mole of water?Molecules are created when atoms come together. Two hydrogen (H) atoms and one oxygen (O) atom make up the three atoms that make up a water molecule. Because of this, water is occasionally abbreviated as H2O. There are billions of water molecules in a single drop of liquid.
Can one have clean water?Despite being the most prevalent substance on earth, water is rarely encountered in its purest form in nature. Usually, pure water needs to be produced. Distilled water or deionized water are two names for pure water. In distilled water, evaporation has evaporated away every dissolved ingredient that was previously present in the water.
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Determine the formula of chromium oxide, which is formed when a chromium ion with a 3+ charge combines with an oxygen ion with a 2- charge.
The formula of chromium oxide, which is formed when a chromium ion with a 3+ charge combines with an oxygen ion with a 2- charge be Cr₂O₃.
What is chemical formula?
A chemical formula is a formula that indicates the number of atoms of one or more specific elements are present in a given chemical composition. The amount of each specific atom present in the chemical compound is indicated by the numbers that appear as subscripts on certain symbols inside the formula.
In the question, we have chemical compound named chromium oxide, which is formed when a chromium ion with a 3+ charge combines with an oxygen ion with a 2- charge. So, its chemical formula be Cr₂O₃.
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The stars of the milky way are all near a great circle on the celestial sphere. This great circle.
The stars of the milky way are all near a great circle on the celestial sphere. This great circle is called milky circle.
Milky Way Galaxy, large spiral system consisting of several hundred billion stars, one of which is the sun.It takes its name from the Milky Way, the irregular luminous band of stars and gas clouds that stretches across the sky as seen from Earth.Although Earth lies well within the Milky Way Galaxy, astronomers do not have as complete an understanding of its nature as they do of some external star systems. Although most stars in the Galaxy exist either as single stars like the Sun or as double stars.Milky circle is the great circle in which all stars of milky way are present.To know more about galaxy visit:
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The stars of the milky way are all near a great circle on the celestial sphere. This great circle is called milky circle.
What is Milky Way Galaxy ?Milky Way Galaxy, large spiral system consisting of several hundred billion stars, one of which is the sun.It takes its name from the Milky Way, the irregular luminous band of stars and gas clouds that stretches across the sky as seen from Earth.Although Earth lies well within the Milky Way Galaxy, astronomers do not have as complete an understanding of its nature as they do of some external star systems.Although most stars in the Galaxy exist either as single stars like the Sun or as double stars.Milky circle is the great circle in which all stars of milky way are present.To know more about Milky Way visit: https://brainly.com/question/13956361
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the direction of the force of sliding friction is always select one to that of velocity of the object and is select one static friction.
The direction of the force of sliding friction is always that of velocity of the object.
Moving against the surface's normal, the force of sliding friction acts in a direct proportion to the weight.
Sliding or kinetic friction is the resistance to the actual relative sliding motion between two surfaces in contact. Let's start by learning about frictional forces from a basic understanding. If a metal block is on a table, it might not move in response to a weak force. The metal block begins to move as the force is gradually increased. The resistive force provided by the metal block in its static form is the same as the controlling value of the force at which the metal block begins to move. Static Friction is the name given to this resistive force. The metal block starts to budge as the experiment continues and the force is increased. Moving against the surface's normal, the force of sliding friction acts in a direct proportion to the weight. In particular, if the surface on which the body slides is horizontal, the normal force will be equal to the object's weight.[tex]F=utan\alpha[/tex]To find more about Static Friction -
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When you check your credit score for incorrect information what are you checking?
a. velocity
b. variety
c. veracity
d. volume
When you check your credit score for incorrect information, you are checking the veracity of the information.
option C is the correct answer.
What is veracity?Veracity is a word that describes the quality of being true, honest, or accurate.
Veracity also entails the conformity with truth or fact. It shows the validity of information or fact.
From the given question, when you check your credit score for incorrect information you are checking the veracity of such information or the conformity with truth or fact about the credit score.
Thus, we can conclude that veracity entails the truth, validity or conformity of information with proven truth.
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how fast (in km/hr) is a race car going if its eight-cylinder engine emits a sound of frequency 548 hz, given that the engine makes 2622 revolutions per kilometer?
Race car is going at a speed of 94.05 km/hr. , when frequency and revolutions are given.
What is frequency?The number of occurrences of a repeating event per unit of time is called as frequency . It is also referred to as temporal frequency and is distinct from angular frequency. Frequency is measured in hertz.
Given frequency is 548 Hz and 2622 rev/km
Frequency of sound produced by each piston= 548/8
= 68.5 Hz
Each cylinder makes sound every 2 revolutions, therefore for a piston to have 68.5 Hz frequency, it undergoes 137 rev/sec
V= (68.5 rev/sec)/(2622rev/km) * (1000m/1km)
= 26.125 m/s
V = 94.05 km/hr.
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what is the intensity of a 4.5 mw laser pointer beam with a diameter of 2 mm? (these are typical characteristics of inexpensive laser pointers.)
The intensity reflects 95% of the critical reading scores is 430 t 230.
What is intensity?
intensity is the period of time between two points.
As per the given scenario
95% confidence intervals
(Mu - 6.7-Mu+6.7)
(430-115×2 , 430+115×2)
By adding or substracting
( 430-230, 430+230)
So interval (430±230)
Thus,
The interval= 430±230.
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At a distance of 6 meters, a person with average vision is able to clearly read letters 1.0 cm high.
Approximately how large do the letters appear on the retina? (Assume that the retina is 1.7 cm from the lens.)
Ratio of distances of image and object respectively = ratios of heights of image and objects respectively
This implies
(1.7/600) = (x/1) ........ ( X is largeness of letter on retina)
x= 0.002833333 cm
What is retina?
The retina is the innermost, light-sensitive layer of eye tissue in most vertebrates and some mollusks. The optics of the eye create a focused two-dimensional image of the visual world on the retina. The retina processes that image within the retina, sending nerve impulses along the optic nerve to the visual cortex to produce vision. The retina functions in many ways similar to the film and image sensors in cameras.
The neural retina consists of several layers of neurons connected by synapses and supported by an outer layer of pigment epithelial cells. The main light-sensitive cells in the retina are photoreceptor cells, of which there are two types: rods and cones. Rods work primarily in low light and provide monochromatic vision. Cones function in bright environments, use different opsins to perceive color, and are responsible for sharp vision used for tasks such as reading. A third type of photosensitive cell, the photosensitive ganglion cell, is important in entrainment of circadian rhythms and reflex responses such as the pupillary light reflex.
Therefore, x= 0.002833333 cm
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an eagle is flying due east at 10 m/s carrying a gopher in its talons. the gopher manages to break free at a height of 20 m. what is the magnitude of the gopher's velocity as it reaches the ground?
The magnitude of gopher's velocity as it reaches the ground is 22.18 m/s.
Given that, velocity of the eagle u = 10 m/s
Height x = 20 m
From one of the equations of motion, we know, v² - u² = 2 * a * s
Here, s is the height (x)
u is the initial velocity
a is the acceleration due to gravity
v is the velocity of the gopher as it reaches the ground
v² = u² + 2 a * x
v = √(u² + 2 a * x)
v = √( 10² + 2 * 9.8 * 20) = 22.18 m/s
Thus, the velocity of the gopher as it reaches the ground is 22.18 m/s.
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5. Bill is swimming and drops his swim goggles in the pool. He looks from above the top of the water to see where they fell and positions himself directly above the goggles. He dives down to the bottom of the pool with his eyes closed so that the chlorine doesn't burn his eyes. He tries several times to retrieve his goggles but comes up empty handed each time. Which interaction of light is distorting the image of where his goggles appear to be?
The interaction of light that distorted the image of where Bill's goggles appear to be is Refraction.
What happens to the speed of light when it hits water in a swimming pool?
The light slows down when it passes from the less dense air into the water, this slow down of the ray of light which causes the ray of light to change direction and then the changes the speed of the light that causes refraction.
The swimming pool appears shallow than it appear to be because the rays of light coming from the bottom of the swimming pool that is refracted by the water making the height of the swimming pool to be above the actual swimming pool bed and there by misleading the observer(Bill).
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What is the direction of the resultant vector A + B?
A. 15° above the x-axis
B. 75° above the x-axis
C. 15° below the x-axis
D. 75° below the x-axis
A weightlifter lifts up a bar and weights of mass of 200 kg so that the bar is a height of
2.0 m above the ground. The radius of the largest disc on the bar is 20 cm. What is the gain
in PE when the weights are lifted?
Answer:
3924 Joules
Explanation:
Potential Energy is calculated with the formula:
PE = mgh
From the problem m=200kg and h=2m so the gain in PE when the weights are lifted is 200*(9.81)*2 = 3924 J
which set of star-position measurements is most likely to show the largest parallax shift for nearby stars?
The set or star-position measurements taken six months apart is most likely to reveal the highest parallax change for close stars.
What are the basic measurements?The basic units of length & distance measurements inside the English system are the inch, yard, yard, and mile. Other length measurements include a rod, furlong, and chain.
What are the top three measurement units?The three most common fundamental units in the metric system are the meter, gram, and liter. A liter is a unit in volume equal in 3.28 meters, the meter is a length measurement equal to 3.28 feet, and the gram is just an unit of matter equal to approximately 0.0022 pounds (or about the mass of the a paper clip).
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A net force of 0.5 N is applied to an object causing it to accelerate at a rate of 0.25m/s^2 [w] what must be the mass of the object
Answer:
2kg
Explanation:
F= ma
F = 0.5N and a = 0.25m/s²
m = F/a
= 0.5/ 0.25
= 2kg
Scallops use muscles to close their shells. Opening the shell is another story--muscles can only pull, they can't push. Instead of muscles, the shell is opened by a spring, a pad of a very elastic biological material called abductin. When the shell closes, the pad compresses; a restoring force then pushes the shell back open. The energy to open the shell comes from the elastic energy that was stored when the shell was closed. (Figure 1) shows smoothed data for the restoring force of an abductin pad versus the compression. When the shell closes, the pad compresses by 0.15 mm.
How much elastic potential energy is stored?
The elastic potential energy stored is 0.9375 J.
The elastic potential energy stored in a spring can be calculated using the following formula:
Elastic potential energy = 0.5 × k × x²
where:
k is the spring constant
x is the distance the spring is compressed or stretched
In this case, the spring constant is given as 12.5 N/mm and the compression is 0.15 mm. Plugging these values into the formula, we get the following:
Elastic potential energy = 0.5 × 12.5 N/mm × (0.15 mm)²
= 0.9375 J
Therefore, the elastic potential energy stored is 0.9375 J.
The elastic potential energy stored in the abductin pad is used to open the shell when the muscles relax. The muscles close the shell by contracting, which compresses the pad. When the muscles relax, the pad expands, pushing the shell open. The energy to do this comes from the elastic potential energy that was stored in the pad when it was compressed.
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A woman of mass 49 kg jumps off the bow of
a 46 kg canoe that is intially at rest.
If her velocity is 1.5 m/s to the right, what
is the velocity of the canoe after she jumps?
Answer in units of m/sˆı.
Answer:
[tex]v_c_a_n_o_e=-1.6m/s^{2}[/tex]
Explanation:
You can use the equation of the conservation of momentum. We find that the velocity of the canoe is -1.6m/s².
[tex]m_1v_1+m_2v_2=0\\(49)(1.5)+(46)(v_c_a_n_o_e)=0\\73.5 + 46v_c_a_n_o_e=0\\46v_c_a_n_o_e = -73.5\\v_c_a_n_o_e = -73.5/46 = -1.6m/s^{2} \\[/tex]
suppose you are given two dry cells, two bulbs and conducting wire. how will you construct an electric circuit to light the bulb with maximum brightness?
Answer:
To construct an electric circuit to light a bulb with maximum brightness, you will need to follow these steps:
1) Assemble the materials: Gather the two dry cells, two bulbs, and the conducting wire.
2) Connect the cells: Place the two dry cells side by side, making sure that the positive terminal of one cell is connected to the negative terminal of the other cell. This will create a series circuit.
3) Connect the bulbs: Attach one end of a length of conducting wire to the positive terminal of one of the dry cells. Connect the other end of the wire to the base of one of the bulbs. Then, attach another length of conducting wire to the base of the first bulb and connect the other end to the negative terminal of the other dry cell.
4) Test the circuit: Touch the base of the second bulb with one hand and the negative terminal of the second dry cell with the other hand. If the bulb lights up, the circuit is complete. If it does not, check the connections to make sure they are secure and that the bulbs are functioning properly.
5) Adjust the brightness: If the bulb is not as bright as you would like, you can try using a different bulb or adding additional cells to the circuit to increase the current. Be aware that adding too many cells can cause the bulb to burn out or create a hazard, so use caution when adjusting the brightness.
In order to build an electric circuit that will light a bulb as brightly as possible, you must do the following steps: Gather the components: assemble the conducting wire, two bulbs, and two dry cells.
What is an electric circuit to light the bulb?Join the cells, and align the positive terminal of one cell with the negative terminal of the other cell by placing the two dry cells side by side.
Connect the bulbs join the positive terminal of one of the dry cells to one end of a piece of conducting wire.
Modify the brightness: If the light isn't as bright as you'd want it to be, you may try using a different bulb or expanding the circuit with more cells to boost current.
Therefore, bright as you'd want it to be, you may try using a different bulb or expanding the circuit.
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a -kilogram block of each of these materials is pulled horizontally across a steel floor at constant velocity. which block requires the smallest applied force to keep it moving at constant velocity?
The block requires the smallest applied force to keep it moving at constant velocity is copper = 0.36. Hence option c is correct.
What is velocity?Velocity is defined as the speed of change in the object's position relative to time and a frame of reference. A specification of a thing's speed and direction of motion is what velocity is.
The force of friction and the applied (horizontal) force must be different for an object to accelerate or decelerate, and they must be equal for it to move at a constant speed.
Thus, the block requires the smallest applied force to keep it moving at constant velocity is copper = 0.36. Hence option c is correct.
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Your question is incomplete, but probably your complete question was
A 10 kilogram block of each of these materials is pulled horizontally across a steel floor at a constant velocity. Which block requires the smallest applied force to keep it moving at a constant velocity?
Al = 0.47
brass= 0.44
copper = 0.36
steel = 0.57
In 1-2 sentences, summarize what can be said about the force produced by the engine in Rocket A compared to Rocket B, based on Newton’s Second Law of Motion.
Hello,
I hope you and your family are doing well!
Newton's Second Law of Motion states that the force produced by an engine is equal to the mass of the rocket times its acceleration. The greater the force produced by the engine, the greater the acceleration of the rocket.
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Happy Holidays!
if the radius of the earth is r meters. what is the weight of (i.e. the force of gravity on) a 9 kg satellite that is a distance 2r above the surface of the earth?
The weight of (i.e. the force of gravity on) 9 kg satellite that is at a distance 2r above the surface of the earth is calculated as 9.79 N.
How is weight defined?In science and engineering, the weight of an object is defined as the force acting on the object due to gravity. It is a standard mechanical quantity but sometimes, it can be defined as a vector quantity, the gravitational force acting on the object.
Given m= 9kg g = 9.8m/s²
As we know, Weight, W = m* a
Acceleration due to gravity at height 2r; h = 2r
a =g r²/(r+ h)²
= gr²/( r+ 2r)²
= gr²/9r²
=g/9
=9.8/9
= 1.088 m/s²
W = m* a
W= 9 * 1.088
Weight = 9.79 N.
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Which trait is solely dependent on its environment?
Answer:
The tendency of a dog to bark defines entirely on the type of environment and the situation the dog looks at. Hence the correct answer is option.
A object of mass M1 travels in a circular path of radius R on a horizontal table. The object is attached to a string that passes through a hole in the center of the table. An object of mass M2 is attached to the other end of the strings and hangs vertically under the table, which produces a force on M1. All frictional forces are considered to be negligible. Which quantity or quantities must be measured to be determined the tangential speed required to keep the system in equilibrium
Only gravity acceleration is needed.
If we let gravity be g
I will rename M1 as M₁ for the first mass
I will rename M2 as M₂ to further reduce the possible confusion of a subscript with a multiplicand.
What is tension?The tension in the string will support the weight of M₂ and will supply the centripetal force required to keep M₁ on a circular path:
M₁v²/R = M₂g
v = √(M₂gR/M₁)
A object of mass M1 travels in a circular path of radius R on a horizontal table. The object is attached to a string that passes through a hole in the center of the table. An object of mass M2 is attached to the other end of the strings and hangs vertically under the table, which produces a force on M1. All frictional forces are considered to be negligible.
Therefore, Only gravity acceleration is needed.
If we let gravity be g
I will rename M1 as M₁ for the first mass
I will rename M2 as M₂ to further reduce the possible confusion of a subscript with a multiplicand.
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How can the coefficient of friction between a pair of shoes and the surface they are in contact with affect the acceleration of an athlete?
The acceleration is precisely equal to the product of the acceleration due to gravity and the coefficient of kinetic friction.
What is acceleration?The rate at which an object's velocity with respect to time changes is known as its acceleration. Accelerations are vector quantities. The direction of the net force acting on an object determines its acceleration.
What is the Coefficient of friction?The ratio of the frictional resistive force to the perpendicular force pushing the objects together is known as the coefficient of friction. The formula for the coefficient of friction is μ = F N, where F denotes the frictional force and N is the normal force.
What is kinetic?It deals with the forces and energies involved in the motion of material bodies.
Hence, the acceleration is precisely equal to the product of the acceleration due to gravity and the coefficient of kinetic friction.
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if the average force of friction is equal to 0.15 of its weight, with what speed will it reach point 2? the distance traveled is 40 m .
At reach point 2, the speed V is equal to 24.9 m/s if the average friction force is equivalent to 0.15 of the its weight.
Describe friction.A force that opposes the rolling or sliding of three stationary surfaces over one another. Although frictional forces, such the traction required to walk without falling, may be advantageous, they can provide a significant amount of resistance to motion. the physical contact of two bodies.
What 3 forms of friction are there?The interaction of a car's tires with the road causes friction, specifically three types of friction: rolled friction, starting turbulence, and sliding friction. This friction is what allows humans to operate cars at all.
Briefing:speed= 1.5m/s
The Initial speed u = 1.5m/s.
point 1 $ point 2 is (39-13) =26m
40 meters is equivalent to an altitude of(40/6) =6.7
kinematics equation v^2 =u^2 + 2as
V^2 = 1.5^2 + 2*9.8 (26 + 6.7)
V = 24.9 m/s
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understanding where earthquakes occur can help develop ways to lessen their effects because...please help dudes ;-;
Answer:
build the resilience of the society physically, socially and economically.
Explanation:
They actually build the resilience of the society , physically or socially or economically All three .
a projectile is launched at 50 m/s at 37 degrees from the horizontal. how long will it be in the air if it returns to the same level it was launched
The projectile will take 6 seconds to return to the same level it was launched if it is launched at 50 m/s at 37 degrees from the horizontal.
Time taken by projectile to cover entire trajectory is called "Time of flight".
Suppose the initial velocity is u = [tex]v_{0[/tex] sin Ф
Let the Time of flight is T
As the projectile is reaching the same level of projection, vertical displacement is y=0
we have, s= u t +1/2 a[tex]t^{2}[/tex]
0= [tex]v_{0[/tex] sinФT- 1/2 g[tex]T^{2}[/tex]
0= [tex]v_{0[/tex] sinФ- 1/2 gt
so, T = 2[tex]v_{0[/tex] sinФ/g
Putting values in this formula, we have
T= 2×30/10
T= 6 s
So, Time of flight is 6 seconds.
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