1 The ball travel 58.29 m high
2. The time the ball spend in the air is 8.67 s
1. How to determine the maximum heightThe maximum height reached by the ball can be obtained as follow:
Initial velocity (u) = 33.8 m/sFinal velocity (v) = 0 m/s (at maximum height) Acceleration due to gravity (g) = 9.8 m/s²Maximum height (h) =?v² = u² – 2gh (since the ball is going against gravity)
0² = 33.8² – (2 × 9.8 × h)
0 = 1142.44 – 19.6h
Collect like terms
0 – 1142.44 = –19.6h
–1142.44 = –19.6h
Divide both side by –19.6
h = –1142.44 / –19.6
h = 58.29 m
2. How to determine the time spend by the ball in the airWe'll begin by calculating the time to reach the maximum height . This can be obtained as follow:
Initial velocity (u) = 33.8 m/sFinal velocity (v) = 0 m/s (at maximum height) Acceleration due to gravity (g) = 9.8 m/s²Time to reach maximum height (t₁) =?v = u – gt (since the ball is going against gravity)
0 = 33.8 – (9.8 × t₁)
0 = 33.8 – 9.8t₁
Collect like terms
0 – 33.8 = –9.8t₁
–33.8 = –9.8t
Divide both side by –9.8
t₁ = –33.8 / –9.8
t₁ = 3.45 s
Next, we shall determine the time take to fall to the ground
Acceleration due to gravity (g) = 9.8 m/s²Maximum height from building = 58.29 mHeight of building = 75 mTotal height (h) = 58.29 + 75 = 133.29 mTime to fall to the ground (t₂) =?h = ½gt²
133.29 = ½ × 9.8 × t₂²
133.29 = 4.9 × t₂²
Divide both side by 4.9
t₂² = 133.29 / 4.9
Take the square root of both side
t₂ = √(133.29 / 4.9)
t₂ = 5.22 s
Finally, we shall determine the time spend by the ball in the air. This is shown below:
Time to reach maximum height (t₁) = 3.45 sTime to fall to the ground (t₂) = 5.22 sTotal time (T) = ?T = t₁ + t₂
T = 3.45 + 5.22
T = 8.67 s
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which option gives an objects temperature in SI units?
In a complete sentence, explain what determines temperature
Answer:
temperature means the degree of hotness or coldness of the body
Explanation:
when the heatness is transferred by our body
we feel cold
for example if we touch ice
we feel cold
when the heatness is transferred to our body we feel hot
for example when we touch fire we feel hot
An atom of iron has an atomic number of 26 and a mass number of 56. How many protons, neutrons, and electrons are contained in this atom?
Bill's motorcycle can accelerate at 7.05m/s² at a certain RPM and gear. How far, starting from rest,
will Bill travel in the first 2.50s?
The distance travelled by Bill in the first 2.5 s is 22.03 m
Data obtained from the questionThe following data were obtained from the question:
Initial velocity (u) = 0 m/sAcceleration (a) = 7.05 m/s² Time (t) = 2.5 sDistance (s) =?How to determine the distance travelledThe distance travelled can be obtained as follow:
s = ut + ½at²
s = (0 × 2.5) + (½ × 7.05 × 2.5²)
s = 0 + (½ × 7.05 × 6.25)
s = 0 + 22.03
s = 22.03 m
Thus, the distance travelled in 2.5 s by Bill is 22.03 m
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It takes 8.8 seconds for a stone that is dropped from rest to fall to the bottom of a mine shaft. The depth of the mine shaft is Blank .
Calculate the answer by read surrounding text. m. Round your answer to 1 decimal place.
The depth of the mine shaft is Blank is 379.5 m.
Equation :Using,
d = (1/2) g t²
where,
g is gravity and t is time given,
d = (1/2)(9.8)(77.44)
d = 379.5 m.
What is gravity ?Gravity, also known as gravitational force, is the attraction between any two objects in the universe. The attraction force is proportional to the weight of the object and the sq of the distance among them. It is without a doubt the weakest known natural force. An invisible force that attracts objects to one another. Gravity is what continues to keep you on the ground and causes things to fall. An animation of gravity in action. Albert Einstein defined gravity as a space-time curve that wraps around an object like a star or planet.
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explaining how your energy system works. Make sure to explain how your system captures energy from rescue workers’ bodies to power equipment during rescue missions. Try to use the words in the Word Bank above.
Answer:
The rescue workers can get energy to the batteries in their equipment during rescue missions by using a generator to convert the kinetic energy to potential energy. Potential energy is then stored in the battery.
Explanation:
Two students perform an experiment with soccer balls. They kick bro soccer balls so that they collide. They measure the total momentum of the two soccer balls before and after
the collision Which statement explains why the total momentum of the soccer balls before and after the collision may not be the same? (1 point)
O The soccer balls each have a different momentum after the collision than before the collision
O The soccer bails exert forces on each other when they collide
O The system does not have any extemal forces
O The system has external forces, such as thiction and air resistance, acting on it
D) The system has external forces, such as friction and air resistance, acting on it.
According to Newton's first law, a change in motion is brought about by a net external force. External forces are forces that originate outside of an object or system and operate on it. Internal forces are generated within the studied system and do not result in acceleration. As a result, while analyzing an object's motion, we only take into account the exterior forces that cause it to accelerate, ignoring the interior forces.
The applied force, normal force, tension force, friction force, and air resistance force are examples of external forces. The internal forces, however, also include gravitational, magnetic, electric, and spring forces. A greater acceleration results from a greater net external force. The system's acceleration would thus be inversely proportional to the system's net external force.
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The flux density between two plates separated by mica of relative permittivity 5 is 2 microColumbs per square meter. Find the voltage gradient between the plates.
According to the given statement The voltage gradient between the plates is 45.2kV/m
What is high voltage gradient?The Volt/meter (V/m) unit of measure for potential gradient is standard. Take a look at the graph between the potential gradient and distance. The potential gradient is strong when the object is close to or at a low distance from the high voltage wire; as you increase the distance, the gradient reduces.
Briefing:Flux Density
D = 2μC/m²
D =2×10⁻⁶ C/m²
ε[tex]_0[/tex] = 8.85 × 10⁻¹² F/m
ε[tex]_r[/tex] = 5
D/E = ε[tex]_0[/tex]ε[tex]_r[/tex] hence voltage gradient
E = D/ε[tex]_0[/tex]ε[tex]_r[/tex]
= [tex]\frac{2 \times 10^{-6}}{8.85 \times 10^{-12} \times 5} \mathrm{~V} / \mathrm{m}[/tex]
= 45.2kV/m
The voltage gradient between the plates is 45.2kV/m
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A farmer builds three sections of a fence, as shown in the figure, where =10.00
m, and gets tired. Walking straight back to where he started, how far did he have to go?
The total distance traveled by the farmer is 60 and walking straight back to where he started he will travel 10 m.
What is distance traveled by an object?
Distance traveled is the total length of the path traveled between two positions.
Distance traveled is not a vector because it has no direction, so we say that distance is a scalar quantity.
If the farmer builds a 3 sections of fence, it will form a triangle of equal lengths.
If the distance between each section = 10 m
when the farmer travels from the initial position to the final position, and then back to the initial position, the total distance traveled by the farmer is calculated as follows;
d = 2(10 m + 10 m + 10 m)
d = 2(30 m)
d = 60 m
Thus, the total distance traveled by the farmer is 60 and walking straight back to where he started he will travel 10 m.
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The speed of sound is 344 m/s. You have built a really fantastic car that can really go fast. If the car can accelerate at 22.4 m/s how much time till you reach the speed of sound? How many kilometers will you travel before you reach that speed?
Answer:
About 15 seconds,.344 kilo
Explanation:
Answer:
15.36 [sec]; 2.64143 [km].
Explanation:
all the details are in the attachment, note, the suggested solution consists of two parts: formula and solution.
a stunt man drops from a building and falls 15m down onto a giant air mattress a) How much time does it take for the stunt man to hit the air mattress.
B.) What is his velocity as he slams into the mattress (# and direction)
please draw a sketch also!!
The time taken is √3 s and the velocity with he lands is 17.3 m/s.
What is the time taken?In this case, we have to use the equations of kinematics as it has to do with motion under gravity. We know that;
h = ut + 1/2gt^2
h = height
u = initial velocity
g = acceleration due to gravity
t = time taken
Given that u = 0 m/s because the object was dropped from a height.
h = 1/2gt^2
t = √2h/g
t = √2 * 15/10
t = √3 s
The velocity with which he falls is obtained from;
v = u + gt
v = gt
v = 10 m/s^2 * √3 s
v = 17.3 m/s
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Limestone bedrock can weather and dissolve. The erosion of the limestone can result in all the following landforms except
Caverns
Ridges
Sinkholes
Underground waterways
The erosion of the limestone can result in all the following landforms except ridges.
weather -
Climate is the average weather condition of a place. It refers to the way in which the weather of a place stays over a given period of time. The weather condition of a place is known to change from time to time.Limestone - It is type of minerals that could occur at a given place.
The presence of the limestone in a place is able to change or alter the landform or the arrangement of the land in a given area.
Some of these changes are very much significant and can be easily observed in an area where there is a Limestone bedrock. Landforms could be a characteristic of a place and we know that it could be used to identify a given area.
The erosion of the limestone can result in all the following landforms except ridges.
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Answer:
B. Ridges
Explanation:
Proof shown below
how to find potential energy
Answer:
The formula for potential energy depends on the force acting on the two objects.
After an experiment, research participants are told its purpose and about any deception they may have experienced. This is called
a. replication.
b. the double-blind procedure.
c. debriefing.
d. informed consent.
After an experiment, research participants are told its purpose and about any deception they may have experienced. This is called debriefing. So, the correct option is (c).
Debriefing is the act of reporting on a mission, project, or the data gleaned from it. After an activity or event, a structured procedure examines the actions performed.Debriefing is a methodical learning procedure created to help plans continually improve as they are being carried out.
Debriefing can be used as an example during an experiment when the researchers required to use some type of deception for the purpose of the study.
Debriefing has its roots in the military as a technique to learn quickly in rapidly changing situations and to correct mistakes or changes on the field. In this instance, the researchers would describe their reasoning for deception and the goal of the study during the debriefing session.
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Mention 2 everyday applications each of conduction, convection and radiation
Answer:
Conduction: Touching a stove and being burned. Ice cooling down your hand. .
Explanation:
How will an object at rest be affected if multiple forces working on it are opposed but unbalanced? (1 point)
The unbalanced forces will cause the object to produce a humming sound.
O Motion will be either created, stopped or changed.
The mass of the object will decrease.
The acceleration of the object will increase.
b) The motion will be either created, stopped, or changed.
An unbalanced force is said to act on an object if the sum of all forces acting on it is non-zero. This means that some force is acting on the object, so the object experiences an acceleration equal to F = ma.
Force Imbalance:
Generates motion of a stationary object (acceleration is +ve as the object changes its velocity from 0 to some value while it is stationary).Stop the moving object (because the object changes velocity from some value to zero and stops, i.e. -ve acceleration).Change the speed of a moving object (there is an acceleration due to the change in speed).Changes the direction of movement of the object (there is an acceleration due to the direction change).Thus, there will be some change in motion in the object if multiple forces applied are unbalanced.
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Answer:b…………………………….
Explanation:
How far from a 1.00 μC point charge will the potential be 200 V?
The charge will the potential be 200 V = 2.23 x 10⁸ C
Given:
r = 1.00 μC
v = 200V
K = 8.988 x 10⁹ NM²/C²
Charge, also known as electric charge, electrical charge, or electrostatic charge, is a property of a unit of matter that shows how many more or fewer electrons than protons it possesses. It is represented by the symbol q.
A body that feels a force in an electric field has a property called charge. It is more useful to speak of bundles of electrons because individual electrons are so tiny and have little impact.
The formula for find how far from a 1.00 μC point charge will the potential be 200V.
V = kq / r
q = rV/ K
Charge = (1.00 x 10⁻³m)(200)/ 8.988 x 10⁹ NM²/C²
= 2.23 x 10⁸ C
So, The charge will the potential be 200 V = 2.23 x 10⁸ C
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A jet requires 5 seconds of acceleration from rest to cover a 94 m distance. What was the acceleration?
When ever there is a change in Velocity, there will be Acceleration. Let us now understand the concept of Acceleration with illustrative examples.
Let's suppose I have a car moving with a constant Velocity of 90 km along a straight line. It can be seen that the helicopter flying at roughly a speed of 20,000 km.
using the equation of motion formula;
S = ut + 1/2 + at²
Given,
S = 94 m
t = 5 sec
U = 0 initial velocity
S = ut + 1/2at²
94 = 0 + 1/2a 5²
a = (94 × 2)/ 25
Acceleration = 7.52 m/s²
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Limestone bedrock can weather and dissolve. The erosion of the limestone can result in all the following landforms except
Caverns
Ridges
Sinkholes
Underground waterways
The erosion of limestone bedrock can result in the formation of all the following landforms except ridges.
Limestone is a type of sedimentary rock that is primarily composed of the mineral calcite (calcium carbonate, CaCO₃). It accounts for around ten percent of the total volume of all sedimentary rocks. This rock is distinguished by the fact that its principal constituent, calcite, is primarily formed by shell-producing and coral-building living organisms. The action of acidic water on limestone deposits has created numerous caverns, gorges, sinkholes, and other natural landforms.
Whereas, a ridge, often known as a mountain ridge, is a geographical feature composed of a series of mountains or hills that form a continuously raised crest over a long distance.
Therefore, the erosion of limestone bedrock can result in the formation of caverns, sinkholes, and underground waterways except for ridges.
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Christian wants to determine how the amount of time a student spent studying affects how they perform on a test. He surveys each member of his class and ask how much time they spent studying. What is the independent or dependent and controlled variables
In a scientific experiment, an independent variable is a variable that is altered or controlled to see how it affects the dependent variable.
In a scientific experiment, the variable under test and being measured is known as the dependent variable.
The independent variable determines how reliant the dependent variable is. The impact on the dependent variable of changing the independent variable is tracked and documented by the experimenter.
An experimental component that remains constant and unaltered during the course of an investigation is known as a control variable in science.
Christian is interested in seeing how a student's performance on an exam is impacted by the amount of time they spent studying. He conducts a class survey and inquires about the amount of time each student spent studying.
The independent variable is the time they spent studying, the dependent variable is the amount of time studying and how it helps the test.
The controlled variable is the amount of time studying and how it helps the test.
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If the total net force on a system is zero, assuming the mass remains constant, which must be true? (1 point)
O The acceleration is zero.
O The velocity is increasing.
O The velocity is decreasing.
O The acceleration is increasing.
Answer:
O The acceleration is zero.
Explanation: because it not decreasing nor increasing just staying the same speed
Is amalee wearing purple?
Answer:
yes.
Explanation:
Answer:
yes
Explanation:i am THE Amalee
(a) When an object's acceleration vector points in the same direction as its velocity, which of the following is true?
A. the object speeds up without turning.
B. the object slows down without turning.
C. the object turns without changing speed.
A. When an object's acceleration vector points in the same direction as its velocity, the object speeds up without turning.
What is acceleration vector?
The average acceleration vector is defined as the rate at which the velocity changes with time.
When an object is slowing down, the acceleration of the object is in the opposite direction as the velocity.
Also, when an object is speeding up, the acceleration of the object is in the same direction as the velocity.
Thus, when an object's acceleration vector points in the same direction as its velocity, the object speeds up without turning.
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100 m/s northwest express what type movement
Answer:
There is more to motion than distance and displacement. Questions such as, “How long does a foot race take?” and “What was the runner’s speed?” cannot be answered without an understanding of other concepts. In this section we will look at time, speed, and velocity to expand our understanding of motion.
A description of how fast or slow an object moves is its speed. Speed is the rate at which an object changes its location. Like distance, speed is a scalar because it has a magnitude but not a direction. Because speed is a rate, it depends on the time interval of motion. You can calculate the elapsed time or the change in time, Δt, of motion as the difference between the ending time and the beginning time
The SI unit of time is the second (s), and the SI unit of speed is meters per second (m/s), but sometimes kilometers per hour (km/h), miles per hour (mph) or other units of speed are used.
When you describe an object's speed, you often describe the average over a time period. Average speed, vavg, is the distance traveled divided by the time during which the motion occurs.
vavg=
distance
time
You can, of course, rearrange the equation to solve for either distance or time
time =
distance
vavg
.
distance = vavg × time
Suppose, for example, a car travels 150 kilometers in 3.2 hours. Its average speed for the trip is
vavg =
distance
time
=
150 km
3.2 h
47 km/h.
A car's speed would likely increase and decrease many times over a 3.2 hour trip. Its speed at a specific instant in time, however, is its instantaneous speed. A car's speedometer describes its instantaneous speed.
Explanation:
Surviving a Large Deceleration On July 13, 1977, while on a test drive at Britain's Silverstone racetrack, the throttle on David Purley's car stuck wide open. The resulting crash subjected Purley to the greatest "g-force" ever survived by a human - he decelerated from 173 km/h to zero in a distance of only about 0.66 m.
Calculate the magnitude of the acceleration experienced by Purley (assuming it to be constant), and express your answer in units of the acceleration of gravity, g=9.81m/s2 .
The magnitude of the acceleration experienced by Purley is -1749.82 m/s²
How to convert 173 Km/h to m/sWe'll begin by converting 173 Km/h to m/s. This can be obtained as follow:
3.6 Km/h = 1 m/s
Therefore,
173 Km/h = (173 Km/h × 1 m/s) / 3.6 Km/h
173 Km/h = 48.06 m/s
How to determine the accelerationThe following data were obtained from the question:
Initial velocity (u) = 48.06 m/sFinal velocity (v) = 0 m/sDistance (s) = 0.66 mAcceleration (a) = ?The acceleration can be obtained as follow:
v² = u² + 2as
0² = 48.06² + (2 × a × 0.66)
0 = 2309.7636 + 1.32a
Collect like terms
1.32a = 0 - 2309.7636
1.32a = -2309.7636
Divide both sides by 1.32
a = -2309.7636 / 1.32
a = -1749.82 m/s²
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Find the energy-consumption rate for five electrical devices you use every day. This value-in watts-is generally listed somewhere on the device or its power adapter, if it has one
For the devices identified in Question 3, estimate t total time you use each device in a day, and use th quantity, along with the device's energy-consumpto rate, to estimate the total energy each uses in a day
The amount of energy used is known as energy consumption.
Find the energy-consumption rate for five electrical devices you use every day.
The following is the power consumption formula or energy consumption formula: E = P*(t/1000); where E is energy expressed in Joules or kilowatt-hours (kWh), P is power expressed in watts, and t is the duration of the consumption of the power or energy.
A lot of electricity is used by electrical appliances. Those that produce heat or have moving parts consume a lot more energy than those that do the same for light or sound.
A higher-wattage appliance actually uses less electricity overall than a lower-wattage one, because it is properly made and completes its task more quickly.
The following are some of the commonly used electrical devices in a daily household.
LCD TV consumes 120W.Washing machine consumes 2100W.Fridge consumes 150W.Desktop computer consumes 140W.Microwave consumes 1000W.To know more about Energy Consumption, click on the link below:
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Stress that has a beneficial effect on us is called
Answer:
a positive form of stress having a beneficial effect on health, motivation, performance, and emotional well-being … during positive stress ("eustress"), such as a promotion or vacation, feel-good chemicals called endorphins are released
Explanation:
that is the answer
3. Complete the following sentences:
a. "The slope of a linear position graph tells us the _________________________ of the object."
b. "The slope of a linear velocity graph tells us the Acceleration of the object."
c. "For an object moving at a constant speed, we would expect to see a position graph with a ___________________ shape and a velocity graph with a ___________________ shape."
d. "For an object moving at a constant acceleration, we would expect to see a position graph with a ___________________ shape and a velocity graph with a ___________________ shape."
The slope of a linear position graph tells the velocity of the object, for an object which is moving at a constant speed the position graph with linear shape, and the velocity graph with horizontal shape, and for an object which is moving at a constant acceleration the position graph will be the in parabolic shape and velocity graph is of linear shape.
What is Acceleration?The rate of change in an object's velocity with respect to time is known as acceleration in mechanics. The vector quantity of accelerations. The direction of the net force that is acting on an object determines its acceleration.
Since acceleration has both a magnitude and a direction, it is a vector quantity. Velocity is a vector quantity as well. The definition of acceleration is the change in velocity vector over a time interval divided by the time interval.
There are several types of acceleration :
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A car is behind a truck going 25 m/s on the highway the car driver looks for an opportunity to pass guessing that his car can accelerate at 1 m/s squared he gauge that he has to cover the 20 m length of the truck +10 m to clear room at the rear of the truck and 10 m more at the front of the truck in the upcoming lane he sees a car approaching probably also traveling at 25 mi./s he has made the car is about 4.0×10 to the 2nd m away should he attempt to pass
The car will travel only distance of 25.92 m.In order to overtake it needs to travel 40m. So don't attempt to pass the truck.
Vehicle speed is 25 m/s.
40m is the distance the automobile must go to pass the truck.Distance between the car approaching from the opposite direction and the passing location is 400-40, or 360 meters.
Time allowed for a car to pass a truck of 20 meters in length is equal to the distance between the automobile coming from the other direction and the relative speed of the two cars.
Time equals 360/50, or 7.2 seconds.
Let's assume that the truck is going at the same rate as the car.
The expression "distance traveled by car in comparison to truck"
S is the distance traveled, u is the initial velocity, an is the acceleration, and t is the amount of time spent, where S = ut +[tex]\frac{1}{2}at^{2}[/tex]
Here, u = 0, t = 7.2 s, and a = 1 m/[tex]s^{2}[/tex]
hence, the distance driven in 7.2 seconds
So, S = 0+ 25.92 = 25.92 m
So car will travel only travel 25.92 m
In order to overtake it needs to travel 40m. So don't attempt to pass the truck.
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Baseball A and B have masses 250g and 300g respectively.
Both are hit by the same amount of force equal to 100 N(Newton).
Which of the two baseballs has greater acceleration?
The baseball with the greater acceleration is baseball A
Relationship between force and accelerationForce and acceleration are related according to the following formula:
Force (F) = mass (m) × acceleration (a)
F = ma
How to determine the acceleration of baseball AForce (F) = 100 NMass of A (m) = 250 g = 250 / 100 = 0.25 KgAcceleration of A (a) =?F = ma
Divide both sides by m
a = F / m
a = 100 / 0.25
Acceleration of A = 400 m/s²
How to determine the acceleration of baseball BForce (F) = 100 NMass of A (m) = 300 g = 300 / 100 = 0.3 KgAcceleration of B (a) =?F = ma
Divide both sides by m
a = F / m
a = 100 / 0.3
Acceleration of B = 333.33 m/s²
From the above calculations, we obtained:
Acceleration of A = 400 m/s²Acceleration of B = 333.33 m/s²Thus, baseball A has the greater acceleration
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