For Antonio to improve his self-awareness skills he should be able to recognise hie strengths and his weaknesses.
What is self awareness?Self awareness is the act of being able to recognise your feelings and keep your character under control.
To be a self awareness leader, one should be able to have the following qualities:
They should be able to recognize their strengths and challenges.They should be able to recognise other people's needs and feelings,They should be able to notice how their behaviour affects the people around them.Therefore, it can be said for Antonio to improve his self awareness skills, he should be able to recognise his strength and weaknesses and observe how his character affects the people around him.
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1. A cannon launches a shell with mass 100 kg toward a target. When the shell is at a height of 12 m its
velocity is 45 m/s. What is total mechanical energy of the shell?
Potential energy plus kinetic energy are combined to form mechanical energy. According to the principle of mechanical energy conservation, mechanical energy is constant in an isolated system when only conservative forces are acting on it.
E mechanical = U + K
E mechanical = mechanical energy
U = potential energy
K = kinetic energy
Mechanical energy, also known as kinetic energy or potential energy, is the energy that an object possesses when it is in motion or the energy that an object stores due to its location.
Renewable energy is also fueled by mechanical energy. In order to efficiently produce electricity or convert energy, many sources of renewable energy depend on mechanical energy.
Applying,
Mechanical Energy (M.E.) = ((1/2)mv²) + (m × g × h)
= ((1/2)*100*45²)+(100*9.8*12)
= 101250+ 11760
= 113010 J
m is the object's mass, v is its speed, g is its gravitational acceleration, and h is its height above the ground.
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Acceleration is directly proportional to what
Answer:
magnitude of the force acting on the object
F = ma. The higher the Force, higher the acceleration
Explanation:
Acceleration is directly proportional to the magnitude of the force
AccelerationForce and acceleration are clearly inversely proportional. Think of a body that is at rest. You now exert a force that causes the body to begin moving with a set velocity. Our sense of the world around us leads us to believe that the more force we exert, the more velocity the body will acquire in the same amount of time. We are aware that acceleration is the rate at which velocity changes over time. Now that we are aware that the force we apply will directly affect the velocity of the body when it is initially at rest, we may draw the conclusion that force directly affects acceleration.
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Which factors are needed to determine the amount of heat absorbed by an aluminum cube after it is warmed? check all that apply. final temperature of the cube initial temperature of the cube mass of the cube melting point of aluminum specific heat of aluminum volume of the cube
Factors that are needed to determine the amount of heat absorbed by an aluminum cube are the initial and final temperatures of aluminum cube.
Heat absorbed by aluminum is the amount of heat taken during the heating process.
To calculate the heat absorbed durring heating process, we use the formula:
Q = mc(T1 - T2)
Where:
T1 = initial temperature
T2 = final temperature .
c = specific heat capacity of the aluminum.
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Answer:
The correct options are A, B, C, and E!
Explanation:
I just got it right on edge.
Hope this helps - brainliest would be appreciated!
Have a great day everyone!
Johnny is getting into building and launching model rockets. In designing a rocket, he has to select an engine based on how much force it produces. If his rocket has a mass of 5.00 kg and he wants it to have an acceleration of 28.8 m/s2, how much force in Newtons does the engine need to produce? (Answer should have 3 significant figures.)
In designing a rocket to select an engine based on how much force it produces, the engine need to produce 144 N force.
Equation :Force applied on launching model rockets is calculated by the formula,
F = m*a
where,
F is the force of engine
m is the mass
a is the acceleration
The given data are :
m = 5 Kg
a = 28.8 m/s²
F = ?
Now, putting the values in the formula we get,
F = 5 Kg x 28.8 m/s²
F = 144 N
So, In designing a rocket to select an engine based on how much force it produces, the engine need to produce 144 N force.
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Find the y-component of this
vector:
22.3 m
77.1°
Remember, angles are measured from
the +x axis.
Which diagram shows the resulting wave when they cross at point X?
We can see that the images show that the waves are moving towards each other hence they interfere constructively as shown in the first image or option A.
What is a wave?The term wave has to do with a disturbance along a medium which transfers energy. We know that the wave could be transverse or longitudinal. A longitudinal wave is one in which the direction of the propagation is the same as that of the disturbance that is producing the wave.
The image that have been shown is that of the interference of waves. Recall that waves could interfere constructively or destructively. The waves that interfere constructively tend to increase the magnitude of the disturbance while the waves that interfere destructively tends to cancel out each other.
Here, it is obvious that the interference of the waves is quite a constructive one as the disturbance increases clearly from the images shown.
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What characteristic of waves caused the bridge to collapse?
The characteristics of sound waves include wavelength, amplitude, frequency, and velocity which can cause of bridge collapse.
How waves caused the bridge to collapse?When the prevalence of a wave matches the Natural frequency of the bridge the swing of the bridge can be made up in amplitude up to the point of causing its destruction. This phenomenon is called Resonance. No matter whether you are talking about vibrations or waves, all of them can be characterized by the following four characteristics: amplitude, wavelength, frequency, and speed. The most similar causes of bridge failure are the lack of structure and design, corrosion, construction, and supervision error, accidental overload, impact, scour, and lack of maintenance or inspection.
so we can conclude that Wave characteristics include frequency, period, wavelength, and amplitude that can collapse a bridge.
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complete the following statement: the maximum speed at which a car can safely negotiate a frictionless banked curve depends on all of the following except
The angle of banking does not affect the maximum speed at which a car can safely negotiate a frictionless banked curve.
What is a banked curve?We know that when a car is trying to negotiate a curve, the car is undergoing a circular motion at the bend. The car is tending to move around the bend and then emerge at the other side. Sometimes the bend is made a bit or somewhat steeper at a give angle and this can help the cars to negotiate the ben successfully without skidding off the road.
We know that we can obtain the maximum velocity of the motion of the car as it negotiates the bend using thee formula;
v = √mgr/h
v = velocity
m = mass
g = acceleration due to gravity
r = radius
h = height
It the follows that the maximum speed at which a car can safely negotiate a frictionless banked curve depends on all of the following except the angle of banking.
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Missing parts;
Complete the following statement: The maximum speed at which a car can safely negotiate a frictionless banked curve depends on all of the following except
A. the diameter of the curve.
B. the acceleration due to gravity.
C. the angle of banking.
D. the mass of the car.
E. the radius of the curve.
what is the required flight visibility and distance from clouds if you are operating in class e airspace at 9,500 feet msl with a vfr-on-top clearance during daylight hours?
It is to be noted that the required flight visibility and distance from clouds, if you are operating in class e airspace at 9,500 feet MSL with a VFR-on-top clearance during daylight hours, is given as "3 statute miles 1,000 above 500 Below and 2,000 horizontal"
What is flight visibility?Flight visibility is the average forward horizontal distance from the cockpit of a flying aircraft at which conspicuous unlighted objects can be seen and identified during the day and significant lighted objects can be seen and identified during the night.
Visibility requirements are the minimal visibility for flying.
According to Aviation Rules,
(a) No individual may fly an aircraft under VFR in restricted airspace when the ceiling is less than 1,000 feet unless flight vision is at least 2 miles, according to aviation rules.
(b) No person shall operate a helicopter under VFR at or below 1,200 feet above the ground or within the lateral boundaries of a designated Class B, C, D, or E airspace surface area of an aerodrome unless there is clear visibility. is at least -
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a 18.0-kg child descends a slide 2.20 m high and reaches the bottom with a speed of 1.50 m/s .how much thermal energy due to friction was generated in this process?
The heat generated due to the friction in the given process is 367.83 J.
Frictional heat generates when two surfaces slide against each other. The heat generated due to the friction in the given process is 6.92.7 J.
Frictional heat:
This heat is generated when two surfaces slide against each other.
Potential energy :-
U= m g h;
Put the values
U= 18.0-kg* 9.8 m/s^2 *2.20 m
U=388.08 J
The Kinetic energy in the bottom:
K = 1/2 * m * v^2
= 1/2 * 18.0* 1.50^2
K= 20.25 J
So the friction heat,
Hf = U - K
Hf = 388.08 J -20.25 J
Therefore, the heat generated due to the friction in the given process is 367.83 J.
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A teacher tells his class that a train is moving at 40 miles per hour. Does this tell them the speed of the train, the velocity of the train, or both?
This tell them the speed of the train.
Why is speed classified as a vector or a scalar quantity?Because it has no specified direction and just magnitude, speed is a scalar number. The amount and direction of velocity are both vector variables.
Speed, as a scalar number, is the pace at which an item travels. The average speed is defined as the distance (a scalar number) divided by the time ratio. Speed is oblivious to direction. Velocity, on the other hand, is a vector quantity that is conscious of its direction.
Speed is described as the rate at which distance changes over time. It has a distance by time dimension. Thus, the SI unit of speed is defined as a combination of the fundamental units of distance and time.
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A person bungee jumped off a cliff. Two seconds after the jump, the person’s velocity was 40 m/s. Five seconds after the jump, what was the final velocity? (neglect air resistance)
Gravity causes an object to fall toward the ground more quickly the longer it is in free fall. In reality, an object's velocity increases by 9.8 m/s, and by the time it starts to fall, it has already reached 9.8 m/s.
All matter is impacted by a force called gravity in the universe. Any two non-zero mass objects or particles will gravitationally gravitate toward one another. Gravity has an impact on objects of all sizes, from subatomic particles to galaxy clusters.
Speed after 2 seconds = 40m/s
Since falling causes velocity to increase by 9.8m/s,
Speed 5 seconds after the jump = 40 + (3 * 9.8)
= 69.4 m/s
When an object is moving, its velocity serves as a measure of how quickly its location is changing as it is perceived from a given point of view and as time is measured using a specific unit of measurement.
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on a local road, there are a honda moving at 72 km/h and a porsche moving at 90 km/h, approach each other. the driver of the honda seeing the porsche was excited, so he honked with a frequency of 650 hz. if the speed of the sound waves in air is 350 m/s, then what is the frequency of sound heard by the driver of the porsche?
The frequency of the sound heard by the driver of the Porsche is 689.39 Hz and 614.8 Hz.
What is Frequency?In physics, frequency is the number of waves that pass a fixed point in a unit of time as well as the number of cycles or vibrations that a body in periodic motion experiences in a unit of time.
(a) as when a person is in front of the car:
f' = (350 - 0/350 - 20) x f = 350/330 x 650 = 689.39 Hz
(b) when a person is behind the car (source is moving away):
f'' = (350 - 0/350 + 20) x f° = 350/370 x 650 = 614.8 Hz
V(source) = 72 km/h = 20 m/s
V(sound) = 350 m/s
f° = 650 Hz
Hence, the frequency of the sound heard by the driver of the Porsche is 689.39 Hz and 614.8 Hz.
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A ball travels along a straight path, perpendicular to a wall. The ball bounces off the wall and returns with the same magnitude of momentum, p, with respect to a ground observer at rest. What expression shows the change in momentum as observed by the ground observer?.
From the question, we can see that the momentum is a vector thus the change in the momentum with respect to the ground observer ought to be zero.
What is momentum?The term momentum has to do with the product of the mass and the velocity of a body. Let us recall that the momentum of a body is a vector quantity thus we have to consider the magnitude as well as the direction of the vector.
With this said, we are going to consider the question more critically. We are told that; a ball travels along a straight path, perpendicular to a wall. The ball bounces off the wall and returns with the same magnitude of momentum, p, with respect to a ground observer at rest.
Looking at the fact that the momentum of the body is a vector and we have seen told that the ball bounces off the wall and returns with the same magnitude of momentum the it follows that the change in the momentum is zero.
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Missing parts;
A ball travels along a straight path, perpendicular to a wall. The ball bounces off the wall and returns with the same magnitude of momentum, p, with respect to a ground observer at rest. What expression shows the change in momentum as observed by the ground observer?
a. 0
b 0.5p
c 2p
d 1.5p
The data below were collected by scientists testing the force of gravity between two objects.
Distance Mass 1 Mass 2 Force
(kg) (kg)
(m)
(N)
0.10
100 150
0.00010
0.10
150
150
0.00015
0.10
100
300 0.00020
0.10
200
200
0.00027
0.10
200
300 0.00040
What do the data in the table support?
OA. The force of gravity between two objects is determined by the object with less mass.
OB. The force of gravity depends on the masses of the objects interacting.
OC.
The force of gravity between two objects is determined by the object with more mass.
D.
The force of gravity only depends on the distance between the objects interacting.
The data table supports that: Option B, "the force of gravity depends on the masses of the objects interacting." is the correct answer.
What is gravity?
Gravity, also sometimes called as gravitation, is the non-changing force of attraction that binds everything together in mechanics. Being the weakest known force in nature, it has little effect on determining the intrinsic properties of common objects.
In the given data table, the distance is same in all five cases, but we can see that the force of gravity is increasing with increase in mass of any one of the object or both of them. We can also understand it as the force of gravity is increasing with the increase in combined mass of both objects.
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find the resultant of the following vectors
1. 100N,37 degree east of north+60N.west
2. 100N,37 degree west of north+50N,53 degree east of north
The resultant vector of 1. 130N and 2. 155 N respectively.
A resultant vector is described as a single vector that produces the identical effect as is produced through a number of vectors collectively.
1. 100 N, 37° east of north + 100 N 60°North -west
Let Force₁ = 100 N sin37°
= 100 N × 4/5
= 80 N North
Force₂ = 100 N cos 60°
= 100 N × 1/2
= 50 N
Now, the angle between F₁ and F₂ is 0
Resultant force = [tex]\sqrt {F₁^{2} +\sqrt F₂^{2} + 2abcos°}[/tex]
= [tex]\sqrt{(80)^{2} +(50)^{2}+2*80*50}[/tex]
= [tex]\sqrt{6400+2500+8000}[/tex]
= [tex]\sqrt{16900}[/tex]
= 130N
2. 100N, 37° west of north + 50N,53° east of north
Force₁ = 100N, 37° west of north
=100N cos 37°
= 100N × 5/4
= 125 N north
Force₂ = 50N,53° east of north
= 50N cos 53°
= 50N × 3/5
= 30N
The angle between F₁ and F₂ is 0°
Resultant force = [tex]\sqrt {F₁^{2} +\sqrt F₂^{2} + 2abcos°}[/tex]
= [tex]\sqrt{(125)^{2} +(30)^{2}+2*125*30}[/tex]
= [tex]\sqrt{15625+900+7500}[/tex]
= [tex]\sqrt{24025}[/tex]
= 155 N
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Question 19
2 pts
What would happen to the gravitational force between Earth and the moon if the
distance between them increased? (2 points)
It would decrease.
O It would stay the same.
OIt would increase.
It would double.
The gravitational force between Earth and the moon would decrease if them distance between them increased.
What does gravity mean?The gravitational force is focused at the system's barycenter rather than at the centers of either object when two objects are gravitationally linked together. It has a similar concept to a see-saw.
We are aware that the gravitational force's equation is F=GMm/r2.
Where M is the force of one object, m is the force of another object, r is the distance between them, and G is the gravitational constant.
As we can see, since F is inversely correlated to r, the gravitational force will grow as their separation widens.
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suppose you have a 142 kg wooden crate resting on a wood floor, with coefficient of static friction 0.500 between these wood surfaces. (enter the magnitudes.) (a) what maximum force (in n) can you exert horizontally on the crate without moving it?
The maximum force I can exert horizontally on the crate without moving it is 588.6 Newtons.
What is force?
A force is a push or pull that an object feels as a result of interacting with another thing. Each time two things come into contact, a force is applied to each one of them. When the interaction is finished, the force is no longer sensed by the two objects. Forces are only real when there is interaction.
The max force I can exert horizontally on the crate without moving it is equal:
[tex]F_{smax} = {\mu_s} \times M \times g[/tex]
where,
μs is the static friction, g is the gravitational force by substituted and M is the mass:
Fsmax = 0.5 * 120Kg * 9.81 m/s2
Fsmax = 588.6 N
when, F= Fsmax
Therefore,
The answer is the force F = 588.6 N
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A massless rod is fixed to a wall on one end. A cable is attached to the wall and the center of the rod. The cable makes an angle of 60° to the wall. If the maximum tension of the cable is 10 n, what is the maximum amount of weight that can hang from the end of the rod?.
The maximum amount of weight that can hang from the end of the rod is 8.66 N.
What is the maximum amount of weight on the rod?
The maximum amount of weight that can hang from the end of the rod is calculated as follows.
Apply the formula for tension using Newton's second law of motion. Newton's second law of motion states that the force experienced by an object is directly proportional to the product of the mass and acceleration of the object.
T sinθ = W
Where;
T is the maximum tension in the cableθ is the angle of inclination of the cableW is weight of the cable.
10 sin(60) = W
8.66 N = W
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The final velocity of a rock dropped from the Empire State Building was 100 m/s. How much time did it take to reach the ground? (neglect air resistance)
Answer:
t= 10 seconds
Explanation:
Using the equation of motion with constant acceleration v=u+at
where t is time
a is acceleration of gravity
u is initial speed and f is final speed.
take the downward direction as negative
[tex]u = 0 \\ v = - 100 \frac{m}{s} \\ a = - 10 \frac{m}{{s}^{2} } [/tex]
then
[tex] - 100 = 0 - 10t \\ - 100 = - 10t \\ t = 10s[/tex]
Find the final velocity of the particle if it is initially moving along the x-axis with a velocity of −1.85 m/s
Although part of your question is missing, the complete question is "Find the final velocity of the particle if it is initially moving along the x-axis with a velocity of −1.85 m/s. The force shown in the force-time graph acts on a 2.4kg object."
The final velocity of the particle is 1.43 m/s.
The impulse of force is the product of the resultant force and duration of time under the impulse-momentum theorem.
Δρ = ΔF + Δ t = area under F-t curve.
area = area of rectangle + area of triangle( 1/2 base ×height )
∴ area = (2× 3) + 1/2 (2×2) = 8 N
To find the final velocity, Δρ = mass × Δvelocity
let the final velocity be v'
∴ 8 = 2.4 × ( v' - (-1.85))
2.4v' = 8- 4.44
v' = 1.43 m/s.
Hence the final velocity of the particle is 1.43 m/s.
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If the earth had three times the radius but the same mass, how would this change the weight of the object?
Answer:
It will be 1/9 of its previous value
Explanation:
Weight = mass x gravity
Gravity = GM / r² (G is the constant)
Since the new radius is three times r, we plug in 3r:
New gravity = [tex]\frac{GM}{(3r)^{2} }[/tex]
Since the new gravity is 1/9th of the original gravity, the new weight is 1/9th the original weight.
isabella drops a pen off her balcony by accident while celebrating the successful completion of a physics problem. assuming air resistance is negligible, how many seconds does it take the pen to reach a speed of 19.62 \,\dfrac{\text {m}}{\text s}19.62 s m 19, point, 62, start fraction, start text, m, end text, divided by, start text, s, end text, end fraction? \text {s}s
If the air resistance is negligible, it will take 2 seconds to reach the ground.
What is air resistance?
Air resistance is the force that opposes an object's relative motion as it moves through the atmosphere. By working against the incoming flow's speed, these drag forces make the object travel more slowly. In contrast to other resistance forces, drag has a direct relationship with velocity because it is the portion of the net aerodynamic force that operates in the opposite direction from the direction of the movement.
As given in the question,
(initial vertical velocity) u = 0,
Air resistance is neglected,
g = 9.8 m/s².
The time (t), required for the pen to reach a vertical velocity of 19.62 m/s is given by:
19.62 m/s = 0 + (9.8 m/s²)*(t s)
t = 19.62/9.8 = 2.00 s
Answer: 2.0 s
Therefore, it will take 2 seconds for pan to reach the speed of 19.61 m/s.
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Complete Question
Isabella drops a pen off her balcony by accident while celebrating the successful completion of a physics problem. Assuming air resistance is negligible, how many seconds does it take the pen to reach a speed of 19.62 m/s?
how do Mars’s surface and atmosphere differ from Earth’s?
Answer:Mars is about half the size of Earth by diameter and has a much thinner atmosphere, with an atmospheric volume less than 1% of Earth's. The atmospheric composition is also significantly different: primarily carbon dioxide-based, while Earth's is rich in nitrogen and oxygen.
Explanation:
Answer:The atmosphere of Mars is much thinner than Earth's. The average surface pressure is only about 610 pascals (0.088 psi) which is less than 1% of the Earth's value. The currently thin Martian atmosphere prohibits the existence of liquid water at the surface of Mars, but many studies suggest that the Martian atmosphere was much thicker in the past.
Explanation:
the mean time between collisions in iron is 5.2×10−15 what electron current is driven through a 2.4- mm -diameter iron wire by a 0.070 v/m electric field? express your answer as a number of electrons per second.
The electron current driven through a 2.4 mm diameter iron wire by a 0.070 v/m electric field is 24.34 * [tex]10^{18}[/tex] electrons / s
I = n A e [tex]v_{d}[/tex]
[tex]v_{d}[/tex] = т e E / m
I = Current
n = Free electron density
A = Area
e = Charge
[tex]v_{d}[/tex] = Drift velocity
т = Mean time
E = Electric field
m = Mass of charge
т = 5.2 * [tex]10^{-15}[/tex] s
d = 2.4 mm
r = 1.2 mm = 1.2 * [tex]10^{-3}[/tex] m
E = 0.07 V / m = 0.07 N / C
e = 1.6 * [tex]10^{-19}[/tex] C
m = 9.1 * [tex]10^{-31}[/tex] kg
A = π r²
A = 3.14 * ( 1.2 * [tex]10^{-3}[/tex] )²
A = 4.52 * [tex]10^{-6}[/tex] m²
[tex]v_{d}[/tex] = ( 5.2 * [tex]10^{-15}[/tex] * 1.6 * [tex]10^{-19}[/tex] * 0.07 ) / ( 9.1 * [tex]10^{-31}[/tex] )
[tex]v_{d}[/tex] = ( 0.58 * [tex]10^{-34}[/tex] ) / ( 9.1 * [tex]10^{-31}[/tex] )
[tex]v_{d}[/tex] = 63.7 * [tex]10^{-6}[/tex] m / s
n = ( Avogadro's number * Density ) / Atomic mass
Avogadro's number = 6.023 * [tex]10^{23}[/tex] atoms / mole
Density of copper = 8.92 * 10³ kg / m³
Atomic mass = 63.5 * [tex]10^{-3}[/tex] kg / mole
n = 8.46 * [tex]10^{28}[/tex] / m³
I = n A e [tex]v_{d}[/tex]
I = 8.46 * [tex]10^{28}[/tex] * 4.52 * [tex]10^{-6}[/tex] * 1.6 * [tex]10^{-19}[/tex] * 63.7 * [tex]10^{-6}[/tex]
I = 3897.34 * [tex]10^{-3}[/tex]
I = 3.9 A
I = 3.9 * 6.242 * [tex]10^{18}[/tex] electrons / s
I = 24.34 * [tex]10^{18}[/tex] electrons / s
Therefore, the electron current driven through the iron wire is 24.34 * [tex]10^{18}[/tex] electrons / s
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Suppose a ball is thrown straight up and experiences no appreciable air resistance. What is its acceleration just before it reaches its highest point?.
The acceleration of the ball just before it reaches its highest point is 9.8m/s2.
At the highest point the velocity turns out to become zero.
Then acceleration = acceleration due to gravity = 9.8 m/s2
Explain what acceleration is.Acceleration is the rate at which a moving object's speed and direction change over time. Something is said to be accelerating when it starts to move faster or slower. Motion on a circle accelerates even while the speed is constant because the direction will always be changing.What three forms of acceleration are there?The three main types of accelerated motions are uniform acceleration, non-uniform acceleration, and average acceleration. The motion in which an item moves in a straight line while increasing in velocity at regular intervals is referred to as uniform acceleration.What is an acceleration unit?The meter per second square (m/s2) is unit of acceleration.
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sarah just bought a telescope and is telling you all about what she saw last night, but she keeps mentioning that every object she pointed it towards seemed to have a fuzzy glow. what type of telescope was she most likely using?
From the description, the type of telescope was she most likely using is the radio telescope.
What is a telescope?The telescope is the kind of device that could be used to find the and see the objects that are in the outer space. There are several kinds of telescopes such as;
radio telescoperefracting telescopecompound telescope reflecting telescopeThe radio telescope is the kind of telescope that is able to convert the radio signals into a format that could be used study the parameters that concern the universe. The clarity of the telescope is most times dependent on the location of the person using the telescope.
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Missing parts;
Sarah just bought a telescope and is telling you all about what she saw last night, but she keeps mentioning that every object she pointed it towards seemed to have a fuzzy
glow. What type of telescope was she MOST likely using?
A. radio telescope
B. refracting telescope
C. compound telescope
D. reflecting telescope
Answer:
She is most likely using a refracting telescope.
Explanation:
These telescopes are easily accessible to the general public and are popular for new astronomers but may produce a fuzzy glow around objects they magnify.
students work together during an experiment about newton’s laws. the students use a setup that consists of a cart of known mass connected to one end of a string that is looped over a pulley of negligible friction, with its other end connected to a hanging mass. the cart is initially at rest on a horizontal surface and rolls without slipping when released. the inertia of the cart's wheels is negligible. students have access to common laboratory equipment to make measurements of components of the system.
The tension in the string gets doubled when we double the mass of the cart as well as of the mass that hangs from the string.
We know, Newton's Second law states that the force applied to a body is directly proportional to the mass and the acceleration of the body, i.e.,
F = ma
where F is the force applied to the body or the tension in the cart, m is the mass of the body and a is the acceleration of the body.
Since, the mass of the cart is doubled, the tension on the string becomes:
[tex]F_{2}[/tex] = (2m)a
[tex]F_{2}[/tex] = 2ma
[tex]F_{2}[/tex] = 2F
Therefore, the tension in the string also gets doubled.
Complete Question: students work together during an experiment about newton’s laws. the students use a setup that consists of a cart of known mass connected to one end of a string that is looped over a pulley of negligible friction, with its other end connected to a hanging mass. the cart is initially at rest on a horizontal surface and rolls without slipping when released. the inertia of the cart's wheels is negligible. students have access to common laboratory equipment to make measurements of components of the system. The students double the mass that hangs from the string. They also replace the original cart with a new cart that has double the mass. By doubling both masses, how will the tension in the string and the acceleration of the cart change?
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The volume of a piece of wood (which floats in water) can be measured as shown. Write a brier paragraph to describe the procedure. State the volume of the wood.
When an item sinks under force, its volume can be calculated. For this reason, the item is fastened to another readily sinkable object. Since the floating object will sink in the water, its volume may be determined.
How can the volume of a piece of wood, an irregular solid that floats on water, be calculated?One method to determine the volume of a floating object is to weigh it down using a heavy object. It's crucial to figure out the water's depth both with the heavy object submerged and with it pulling the floating object down into the water.
An object floats when the water's upward push balances the weight force acting on it. Untainted by water depth, the amount of the object immersed increases the water is probably upward push.
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what is the correct definition for protein
Answer:
Proteins are organic compounds containing nitrogen that are made of long, linked chains of amino acids and are a part of all living organisms.