A particle is projected vertically upwards from the ground with a speed of 36 m s-¹. Calculate (a) the time for which it is above a height of 63 m, (b) the speed which it has at this height on its way down, (c) the total time of flight.
When a particle is projected at 36 m/s from ground,
a) Time for which it is above a height of 63 m is 2.8s
b) The speed for which it has at this height of 63 m is 7.82 m/s
c) total time of flight is 7.34s.
What is Velocity & acceleration ?Velocity is "rate of change of displacement with respect to time".
i.e. v= dx/dt
it is also defined as displacement over time. i.e. v=Displacement/Time.
Velocity shows how much distance can be covered in unit time. It's SI unit m/s.
Acceleration is rate of change of velocity with respect to time.
i.e. a = dv/dt
if an object changes its velocity in short time, we can say that it has grater acceleration.
a= dv/dt =Δv/Δt
Given,
Initial velocity u = 36 m/s
Height of the particle s = 63m
acceleration due to gravity g=9.8 m/s²
a) According to equation of kinematics,
s=ut+1/2gt²
putting all the values in equation,
63=36t+(1/2)(-9.8)t²
multiplying by 2
126=72t-9.8t²
9.8t² -72t +126 = 0
on solving this quadratic equation, we get
t=4.4s or t=2.8s
(Correct option is t=2.8s)
Hence time to attain 63 m of height is 2.8s
b)According to equation of kinematics,
v²=u²+2as
v² = 36²+2(-9.8)×63 (negative sigh is for velocity and acceleration are oppositely directed)
v² = 61.2
v= 7.82 m/s
Hence Speed at this height is 7.82 m/s
c) Total time of the flight is
at max position of height, final velocity v=0
v= u+at
0=36+(-9.8)t
t= 36/9.8
t = 3.67s .......this is time taken by particle to complete journey from bottom to top,
now it will take same time for particle to come from bottom to top.`
therefore total time taken by particle to go from bottom to top then return back is 2×3.67s
t= 7.34s
Hence total time taken by flight is 7.34s
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A man pushed a table, using a force of 8 newtons. He moved the table 2 meters. How much work did he do?
The man did 16 Joules of work on the table.
What is the amount of work done by the man?Work done is simply defined as the energy transfer that takes place when an object is either pushed or pulled over a certain distance by an external force. It is expressed as;
Work done = force × distance
Where force is the amount of force applied and distance is the distance the object was moved.
In this case;
Force applied = 8 newtonsDistance moved = 2 meters.So, substituting these values into the formula, we get:
Work done = force × distance
Work done = 8N × 2m
Work done = 16Nm
Work done = 16 Joules
Therefore, the work done on the table is 16J.
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Dan was in a roller coaster cart at the top of a hill, which was the tallest point on the ride. As the cart rushed down the hill, Dan screamed and put his hands up. The cart gained speed until it reached the bottom of the hill, where it was moving the fastest. Dan saw that the cart was headed toward a loop. He held on tight while the cart zoomed up and around the loop.
When was the most gravitational potential energy stored between the cart and Earth? Assume that the cart's mass did not change.
smallest possible potential energy The potential energy of the cart began to rise once more as it advanced higher up the loop as it entered the loop, but it was never able to match its level at the top of the hill.
What does children's potential energy entail?Potential energy is the energy that is held in reserve by an object due to its position or condition. Potential energy exists in objects like a spring stretched out, a bicycle on a hilltop, and a book held above your head.
What is potential and kinetic energy?On the other hand, kinetic energy is the energy of an object or a system's particles in motion .The most gravitational potential energy between the cart and the Earth was stored at the top of the hill, which was the tallest point on the ride where the cart was stationary. When the cart was at the top of the hill, it had the highest potential energy due to its position above the ground. As the cart began to move downhill, some of this potential energy was converted into kinetic energy, which increased the cart's speed.
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1.3.2 Quiz. what is another way to describe the vector below? "40 feet to the right"
The vector described as "40 feet to the right" can also be expressed as a displacement vector. It represents the change in position of an object as it moves from one point to another.
Specifically, the vector denotes a horizontal displacement of 40 feet in the positive x-direction from the starting point.
Another way to describe the vector is to use a coordinate system. If we place the starting point at the origin (0,0) and define the x-axis to be the horizontal direction and the y-axis to be the vertical direction, then the vector can be represented as (40,0), where the first number corresponds to the x-coordinate and the second number corresponds to the y-coordinate. This notation emphasizes the fact that the vector has no vertical displacement, only a horizontal displacement of 40 feet.
Alternatively, we could describe the vector using magnitude and direction. The magnitude of the vector is simply its length, which in this case is 40 feet. The direction of the vector can be described as "to the right" or "in the positive x-direction." This notation is useful when comparing vectors with different magnitudes but the same direction or vice versa.
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Pleas Help
Questions are in the picture
There are many kinds of handwriting characteristics, but commonly used are around 12-16.
What are handwriting characteristics?There are many kinds of handwriting characteristics, but commonly used are around 12-16.Checks have embedded features such as watermarks, special paper, and microprinting to prevent forgery.True, a person's handwriting is compared to several exemplars to establish authenticity.True, some forgers use chemicals to age paper and make it look older.The Bureau of Engraving and Printing is charged with the security of U.S. currency.True, people rarely spend time forging documents from famous people because the value of the document is tied to its authenticity.Some security features of U.S. currency include color-shifting ink, security threads, and microprinting.Check forgery involves creating a fake check, while literary forgery involves creating a fake document, signature, or manuscript.Criminals make forged literary pieces look older by using various methods such as soaking them in tea or coffee, baking them in the oven, or using a blowtorch to scorch them.Learn more about handwriting, here:
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5. On Earth, where is hydrogen not found?
• A. Mine
• B. Natural gas well
• C. Water
O D. Atmosphere
Answer:
Atmosphere
Explanation:
Hydrogen,
H
2
, is one of the lightest gases that can be found on Earth. The other gas is helium, and these two gases are both lighter than air, because they have a high degree of buoyancy.
This means that the air below it is pushing up with a greater force than the air above it is forcing it down.
a bag of same size small balls contain 6 blue balls 5 red balls 5 yellow balls and 4 green balls what is the probality of selecting a blue or green ball on first draw
Answer:
Below
Explanation:
Blue ( 6) OR green ( 4) is 10 out of ( 6 + 5 + 5 + 4)
10 / 20 = 1/2 chance of blue OR green
if the friction force of an object is -210 and the sum of forces is 190 what is the applied force
Answer:
If the friction force on an object is -210 N and the net force acting on the object is 190 N, then we can use the formula:
Net force = Applied force - Friction force
Solving for the applied force, we get:
Applied force = Net force + Friction force
Substituting the given values, we get:
Applied force = 190 N + (-210 N)
Applied force = -20 N
Therefore, the applied force on the object is -20 N. This means that the direction of the applied force is opposite to the direction of motion of the object.
Explanation:
Examine the image and assess the relationship of the atoms shown by
The reactants in the given chemical equation are methane (CH₄) and oxygen (O₂), while the products are carbon dioxide (CO₂) and water (H₂O).
During a chemical reaction, the atoms of the reactants reorganize to form new compounds in the products. A chemical change is this atomic rearrangement.
What is a change in chemistry?A chemical change is the transformation of one or more substances into new ones with distinct chemical and physical properties. New substances are created when the original substances' atoms are rearranged and new chemical bonds are formed during a chemical change.
Typically, a transfer of energy in the form of heat, light, or sound occurs in conjunction with this kind of change. Reactions like combustion, oxidation, decomposition, and synthesis are all examples of chemical changes. Physical changes, on the other hand, involve alterations in a substance's physical properties without altering its chemical composition.
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instrument used to measure earthquake
Answer:
seismograph
Explanation:
seismograph
Answer:
seismometers and seismograph
Explanation:
this instrument respond to ground noise and shake like quake and volcanoes eruption
Marissa does 3.2J of work to lower the window shade in her bedroom a distance of 0.8m. How much force must Marissa exert on the window shade?
4 N force must be. Marissa pulls on the window curtain, An object having mass changes its velocity in response to a push or pull.
What does a force mean in science?In science, the concept of "force" is well defined. A force of this magnitude can be described as a push or a pull, which is perfectly fine. It is erroneous to state that a force "is in it" or "is contained" within an item. A force from another can exert pressure on something.
What exactly are force and a force?Force: An object's shape, as well as its condition when at rest or in motion, can all be changed physically by force. In the S.I., a Newton is a unit of force.
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2
Select the correct answer.
In which situation is no work being done?
O A.
OB.
C.
OD.
a person carrying a box from one place to another
a person picking up a box from the ground
a person pushing a box from one place to another
a person pulling a box from one place to another
Reset
Next
URGENT HELP NEEDED!!!
During basketball practice, two basketballs are rolling towards each other. Ball A has a velocity of 3.3 m/s east, and ball B has a velocity of 1.6 m/s west. Both balls have a mass of 0.62 kg. If ball B has a velocity of 1.2 m/s east after the collision, what is the velocity of ball A after the collision?
3.7 m/s west
0.5 m/s west
3.7 m/s east
0.5 m/s east
Since the initial velocity of ball A was 3.3 m/s east and the velocity of ball A after the collision is 6.7 m/s east, the velocity of ball A after the collision is 3.7 m/s east.
What is velocity?Velocity is a vector quantity that measures the rate and direction of an object's motion. It can be determined by measuring the displacement of the object over a certain period of time. Velocity is usually expressed in terms of distance per unit of time, such as meters per second (m/s). In physics, velocity is a fundamental concept that is used to describe the motion of objects.
The velocity of ball A after the collision can be calculated using the conservation of momentum equation. The equation is as follows:
m1v1 + m2v2 = m1v1' + m2v2'
where m1 is the mass of ball A, v1 is the initial velocity of ball A, m2 is the mass of ball B, v2 is the initial velocity of ball B, m1' is the mass of ball A after the collision, v1' is the velocity of ball A after the collision, m2' is the mass of ball B after the collision, and v2' is the velocity of ball B after the collision.
In this problem, the equation is:
(0.62 kg)(3.3 m/s east) + (0.62 kg)(1.6 m/s west) = (0.62 kg)(v1') + (0.62 kg)(1.2 m/s east)
We can solve this equation for v1':
(0.62 kg)(3.3 m/s east) + (0.62 kg)(1.6 m/s west) = (0.62 kg)(v1') + (0.62 kg)(1.2 m/s east)
0.62(3.3 + 1.6) = 0.62v1' + 0.74
4.9 = 0.62v1' + 0.74
4.9 - 0.74 = 0.62v1'
4.16 = 0.62v1'
v1' = 6.7 m/s east
Since the initial velocity of ball A was 3.3 m/s east and the velocity of ball A after the collision is 6.7 m/s east, the velocity of ball A after the collision is 3.7 m/s east.
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Someone Anyone Please help me?
The average velocity of the skier is 13.3 m/min East.
option A.
What is the average velocity of the skier?Average velocity is a measure of how fast an object has moved over a given period of time in a specific direction.
It is calculated as the displacement of an object divided by the time interval during which the displacement occurs.
Displacement is the straight-line distance between the object's initial and final positions, in a specific direction.
The formula for average velocity is:
Average Velocity = Displacement / Time
Average velocity of the skier = ( 40 m - 0 m ) / ( 3 min )
Average velocity of the skier = 13.3 m/min east
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Please help (50 points and Brainly)
Answer:
the asnsweis wavew
Explanation:
i just need rge points tbh
In the first 20.0 seconds of flight, the Saturn V rocket achieved an altitude of 510 m, and a velocity of 56 m/s. The rocket weighed approximately 2.77∗10^6 kg. What was the average power produced by the rocket?
7.0∗10^9 W
1.8∗10^10 W
9.1∗10^8 W
2.6∗10^8 W
Answer:
We can use the work-energy theorem to find the average power produced by the rocket:
Work done = Change in kinetic energy = (1/2)mv_f^2 - (1/2)mv_i^2
where m is the mass of the rocket, v_f is the final velocity, and v_i is the initial velocity.
From the given information, we have:
m = 2.77*10^6 kg
v_f = 56 m/s
v_i = 0 m/s
Using the kinematic equation for displacement:
y = v_i*t + (1/2)at^2
where y is the displacement (altitude), t is the time, and a is the acceleration.
We can rearrange this equation to solve for a:
a = 2y/t^2 = 2(510 m)/(20.0 s)^2 = 1.275 m/s^2
Then, we can use the kinematic equation for velocity:
v_f = v_i + at
v_f = 0 m/s + (1.275 m/s^2)(20.0 s) = 25.5 m/s
Now we can calculate the work done by the rocket:
Work done = (1/2)(2.7710^6 kg)(25.5 m/s)^2 - (1/2)(2.7710^6 kg)(0 m/s)^2 = 9.065*10^8 J
Finally, we can calculate the average power produced by the rocket:
Average power = Work done / Time taken = 9.06510^8 J / 20.0 s = 4.5310^7 W
Therefore, the average power produced by the rocket was approximately 4.53*10^7 W.
The answer is: 9.1∗10^8 W.
Explanation:
Gulag Dam, Yahtzee Dam, and Jinka Rhina Dam have 3 different heights as described in the table below.
Dam Height (m)
Gulag 132
Yahtzee 147
Jinka Rhina 181
Which dam has the ability to produce the most electricity, based only on height?
A. The Gulag because the dam has a shorter drop and the water will have the most potential energy to transfer to the turbine.
B. The Yahtzee because the drop at this height will have the most kinetic energy to transfer to the turbine.
C. The Jinka Rhina because the dam has the largest drop and the water produces the most kinetic energy to transfer to the turbine.
D. It is impossible to determine based on the data in the table.
The correct answer is D. The height of a dam is only one of many factors that determine its ability to produce electricity. Other important factors include the volume of water that can be held in the reservoir, the flow rate of the water, and the efficiency of the power generation equipment. Therefore, it is impossible to determine which dam has the ability to produce the most electricity based solely on its height.
Have average hpurly earnings in the United States increased sinced 1980? Answer question using the words nominal and real .
Yes, the average hourly earnings in the United States have increased since 1980, both nominal wages and in real terms.
What are nominal wages?
Nominal wages refer to the actual dollar amount earned, without any adjustments for inflation. When looking at nominal wages, we can see that the average hourly earnings in the United States have indeed increased since 1980. According to data from the Bureau of Labor Statistics, the average hourly earnings for all employees in the private sector was $3.10 in 1980, and has since increased to $31.73 in 2021.However, inflation has also been a factor during this time period, meaning that the purchasing power of a dollar has decreased over time. Real wages take into account the effects of inflation, allowing us to compare earnings over time in terms of purchasing power. When we adjust for inflation using a measure like the Consumer Price Index (CPI), we can see that while the nominal wage has increased, the real wage has not increased as much. In other words, even though workers are earning more in nominal terms, their earnings have not kept pace with the rising cost of living.So, while both nominal and real wages have increased since 1980, the extent to which they have increased depends on the measure used.To know more about nominal wages, click the link given below:
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Identify the forces on the baseball player.
player of baseball. Kinetic friction, normal force, and weight are the three forces at work on it.
What does a scientific force mean?The term "force" is defined precisely in science. An object does not have a force inside of it or within it. Another object applies a force to the first. Both living things and non-living things can be considered to be parts of a force.
How do you refer to force?Force is the pushing or pulling of an object. When objects interact with one another, push and pull are generated. You can also describe force using words like stretch and squeeze. An object's mass changes when a force is applied to it, and the definition of force in physics is:
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How did it just snow yesterday in Anaheim hills California????
I would like to know the science behind why it happened when it normally doesn't
The National Weather Service, a combination of warm air river air & cold air from Alaska combined to produce a dusting of snow to mojave desert sections of Southern Californian valleys on Saturday.In San Bernardino County, Rancho Loma and Fontana experienced a rare snowfall on Saturday.
Does snow fall in Anaheim, California?On March 1, 2023, a winter storm passed across the area, and snow and graupel were seen falling in Disneyland near Anaheim, California.According to Camacho, the extraordinary incident lasted for roughly 10 minutes.
Where did the snow fall in California?Conditions in some areas of California are very hazardous.Communities in the Santa Barbara Mountains have been buried by seven feet of snow, and rescue workers are bringing medicine and food to stranded locals.
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Please help will mark brainiest!!!
The sun is also the reason .... exist. The.... is moving air.
The same word fills in both blanks
Answer:
The word is "wind".
Explanation:
The sentence would be:
"The sun is also the reason wind exists. The wind is moving air."
Hope this helped !
What is a type of potential energy that a marshmallow has if the marshmallow is sitting in the bag
Answer:
potential until moved than kinetic
Explanation:
What indicates that two objects are in thermal equilibrium? The objects ar the same size the objects abtounchingneach other the objects have the same temperature temperatures are changing
'what does the scale read (in n ) when the elevator is ascending at a constant speed of 2.1 m/s ?
When the elevator is ascending at a constant speed of 2.1 m/s the scale will read 696.51 N.
What do you mean by speed?
Speed is a measure of how fast an object is moving, and is defined as the distance traveled per unit time. It is a scalar quantity, which means that it has only magnitude and no direction. The standard unit of speed in the International System of Units (SI) is meters per second (m/s).
Speed can be calculated using the following formula:
Speed = Distance / Time
When the elevator is ascending at a constant speed of 2.1 m/s, the scale will read the person's normal weight, which is the force exerted on the scale by the person's mass due to gravity.
This is because at a constant speed, the person and the scale are not experiencing any net acceleration, and so the force experienced by the person is the same as their weight.
The weight of the person is given by the formula:
Weight = mass x gravitational acceleration
where mass = 71.0 kg and gravitational acceleration = 9.81 m/s^2 (assuming the elevator is on Earth).
So the weight of the person is:
Weight = 71.0 kg x 9.81 m/s^2 = 696.51 N
Therefore, the scale will read 696.51 N.
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The following image shows an eraser being measured by a ruler.
Eraser next to a centimeter ruler. Left edge is on the zero line and the right end lines up between the sixth seventh tick mark on the ruler after the fourth centimeter.
What is the length of the eraser in the picture? Explain how you came up with that value.
How many significant digits are associated with the measurement you provided in part a?
The length of the eraser is 4.6 cm. There are two significant figures in the measurement.
What is measurement of length?Measurement of length is the process of determining the distance between two points or the size of an object using standard units of length. The most commonly used unit of length in the International System of Units (SI) is the meter, which is defined as the distance traveled by light in a vacuum during a specific time interval.
In addition to the meter, other units of length are also used in different countries and applications.
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A 1325 kg car and a 2050 kg pickup truck approach a curve on a highway that has a radius of 255 m. The curve is banked at 24.18 degrees so the vehicles can safely round it regardless of the condition of the tires.
A. As the car round the curve at 75.0 mi/h, find the normal force on the car due to the highway surface.
B. As the truck round the curve at 75.0 mi/h, find the normal force on the truck due to the highway surface.
The normal force on the truck due to the highway surface is 18109.26 N.
What is Centripetal force?Centripetal force is the force that is directed towards the center of a circular path that keeps an object moving along that path. It is given by the equation:
Fc = mv²/r
where Fc is the centripetal force, m is the mass of the object, v is its velocity, and r is the radius of the circular path.
First, we need to convert the speed from miles per hour to meters per second:
75.0 mi/h = 33.5 m/s
Next, we can use the centripetal force equation:
F_c = (m*v²)/r
where F_c is the centripetal force, m is the mass of the vehicle, v is the velocity of the vehicle, and r is the radius of the curve.
We can find the angle of the banked curve in radians:
θ = tan⁻¹(v²/(r*g))
where g is the acceleration due to gravity, which is approximately 9.8 m/s².
A. For the car:
m = 1325 kg v = 33.5 m/s r = 255 m θ = tan⁻¹(v²/(r*g)) = tan⁻¹((33.5 m/s)² / (255 m * 9.8 m/s²) = 0.49 radians
The normal force on the car is given by:
N = mgcos(θ) + F_c*sin(θ)
where N is the normal force and cos(θ) and sin(θ) are the components of the gravitational force and the centripetal force, respectively, parallel and perpendicular to the surface of the road.
Plugging in the values, we get:
N = (1325 kg * 9.8 m/s² * cos(0.49)) + ((1325 kg * (33.5 m/s)²) / (255 m) * sin(0.49)) N = 12434 N
Therefore, the normal force on the car due to the highway surface is 12434 N.
B. For the truck:
m = 2050 kg v = 33.5 m/s r = 255 m θ = tan⁻¹(v²/(r*g)) = tan⁻¹((33.5 m/s)² / (255 m * 9.8 m/s²)) = 0.49 radians
The normal force on the truck is given by:
N = mgcos(θ) + F_c*sin(θ)
Plugging in the values, we get:
N = (2050 kg * 9.8 m/s² * cos(0.49)) + ((2050 kg * (33.5 m/s)²) / (255 m) * sin(0.49)) N = 18109.26 N
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A car of mass 1 120 kg, moving to the right at a velocity of 25 m-s1, collides with the back of a construction vehicle loaded with cement bags and moving in the same direction at a velocity of 6,25 m-s1. After the collision, the car moves at a velocity of 7,45 m-s1 and the construction vehicle moves at a velocity of 8,45 m-s¹. Both move towards their original directions. Assume that the system is isolated.
1. What is the magnitude of the net external force acting on the system above?
2. Calculate the mass of the construction vehicle if the cement bags have a mass of 100 kg.
3. Use calculations to determine whether the collision is elastic or inelastic.
The magnitude of the next external force acting on the system is 0 N.
The mass of the construction vehicle is 2320 kg.
The collision is inelastic.
Momentum problemThe initial momentum of the system is given by:
Pinitial = m1v1 + m2v2
where m1 and v1 are the mass and velocity of the car, and m2 and v2 are the mass and velocity of the construction vehicle.
Pinitial = (1120 kg)(25 m/s) + (m2)(6.25 m/s)
Pinitial = 28000 kg·m/s + 6.25m2
The final momentum of the system is:
Pfinal = (1120 kg)(7.45 m/s) + (m2)(8.45 m/s)
Pfinal = 8364 kg·m/s + 8.45m2
The change in momentum is:
ΔP = Pfinal - Pinitial
ΔP = 8364 kg·m/s + 8.45m2 - (28000 kg·m/s + 6.25m2)
ΔP = -19636 kg·m/s + 2.2m2
According to the impulse-momentum theorem, the change in momentum is equal to the impulse applied to the system. Since the system is isolated, the net external force acting on the system is zero. Therefore, the magnitude of the net external force is 0 N.
To calculate the mass of the construction vehicle, we can use the conservation of momentum principle. Since the system is isolated, the total momentum before the collision is equal to the total momentum after the collision.
The total momentum before the collision is:
Pinitial = m1v1 + m2v2
Pinitial = (1120 kg)(25 m/s) + (m2)(6.25 m/s)
Pinitial = 28000 kg·m/s + 6.25m2
The total momentum after the collision is:
Pfinal = (1120 kg)(7.45 m/s) + (m2)(8.45 m/s)
Pfinal = 8364 kg·m/s + 8.45m2
Setting these equal, we get:
Pinitial = Pfinal
28000 kg·m/s + 6.25m2 = 8364 kg·m/s + 8.45m2
Solving for m2, we get:
m2 = 2320 kg
To determine whether the collision is elastic or inelastic, we can calculate the coefficient of restitution, which is a measure of the "bounciness" of the collision.
The coefficient of restitution, e, is defined as the ratio of the relative velocity of separation to the relative velocity of approach:
e = (v2f - v1f)/(v1i - v2i)
where v1i and v2i are the initial velocities of the two objects, and v1f and v2f are their final velocities.
In an elastic collision, e = 1, meaning that the objects bounce off each other perfectly. In an inelastic collision, e < 1, meaning that some of the kinetic energy is lost and the objects stick together or deform.
Using the given velocities, we can calculate the coefficient of restitution:
e = (8.45 m/s - 7.45 m/s)/(25 m/s - 6.25 m/s)
e = 0.231
Since the coefficient of restitution is less than 1, the collision is inelastic.
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If an object continues to accelerate, what happens to its speed?
If an object continues to accelerate, the speed of the object will also increase.
What is acceleration?Acceleration is the amount by which a speed or velocity increases (and so a scalar quantity or a vector quantity).
The relationship between acceleration and speed is direct.
If the speed is increasing, the car has positive acceleration. When the car slows down, the speed decreases. The decreasing speed is called negative acceleration
Therefore, as the object continues accelerating, the speed increases.
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A projectile is shot up vertically with a velocity of 100ms-1 .How long does it take the projectile to reach a height of 375m?
Answer:
Explanation:
The motion of the projectile can be modeled using the following kinematic equation:
h = vi*t + (1/2)at^2
where h is the height of the projectile, vi is the initial velocity, a is the acceleration due to gravity (approximately -9.8 m/s^2), and t is the time elapsed.
We want to find the time it takes for the projectile to reach a height of 375 m, so we can set h = 375 and solve for t:
375 = 100t + (1/2)(-9.8)*t^2
Simplifying and rearranging, we get:
4.9t^2 + 100t - 375 = 0
We can solve this quadratic equation using the quadratic formula:
t = (-b ± sqrt(b^2 - 4ac)) / (2*a)
where a = 4.9, b = 100, and c = -375.
Plugging in the values, we get:
t = (-100 ± sqrt(100^2 - 44.9(-375))) / (2*4.9)
Simplifying, we get:
t = (-100 ± sqrt(10000 + 7350)) / 9.8
t = (-100 ± sqrt(17350)) / 9.8
We take the positive value of t, since we are only interested in the time it takes for the projectile to reach a height of 375 m:
t = (-100 + sqrt(17350)) / 9.8
t ≈ 21.43 seconds (rounded to two decimal places)
Therefore, it takes the projectile approximately 21.43 seconds to reach a height of 375 m.
External forces can cause elastic materials to vibrate around their ?
Yes, External forces can cause elastic materials to vibrate around them
What drives the external forces?
External factors are those brought on by an outside the system agent. Regardless of the place of application, an external non-zero net force causes the system's center of mass to accelerate. Internal forces are the forces that the system's objects trade.
A system's momentum is altered by an external source that exerts force on it. This may appear as a shift in the system's position, velocity, or acceleration.
An elastic material deforms in response to an external force, and internal resistance develops as a result of molecular cohesion. Within elastic bounds, the internal resistance's effort is stored as strain energy. Resilience is the term for this stress force.
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