Answer:
1.Theimage will be located at -0.13m or -13 cm
2.The height of the image will be 0.052m or 5.2cm
Explanation:
Given that;
Height of object, h=20 cm = 0.2m
Object distance in front of convex mirror, o,= 50 cm =0.5m
Radius of curvature, r, =34 cm =0.34m
Let;
Image distance, i,=?
Image height, h'=?
You know that focal length,f, is half the radius of curvature,hence
f=r/2 = 0.34/2 = 0.17m ( this length is inside the mirror, in a virtual side, thus its is negative)
f= -0.17m
Apply the relationship that involves the focal length;
[tex]=\frac{1}{o} +\frac{1}{i} =\frac{1}{f}[/tex]
[tex]=\frac{1}{0.5} +\frac{1}{i} =-\frac{1}{0.17}[/tex]
Re-arrange to get i
[tex]\frac{1}{i} =-2-5.88\\\\\\\frac{1}{i} =-7.88\\\\i=-0.13m[/tex]
This is a virtual image formed at a negative distance produced through extension of drawing rays behind the mirror if you use rays to locate the image behind the mirror
Apply the magnification formula
magnification, m=height of image÷height of object
[tex]m=\frac{h'}{h} =-\frac{i}{o}[/tex]
substitute the values to get the height of image h'
[tex]\frac{h'}{0.20} =-\frac{-0.13}{0.5} \\\\\\h'=\frac{0.13*0.20}{0.5} \\\\\\h'=\frac{0.025}{0.5} =0.052m\\\\\\h'=5.2cm[/tex]
If the wavelength of orange light is 6 · 10-7 m, calculate its frequency. f = _______ Hz
Answer:
Frequency of orange light = [tex]5 \times 10^{14}[/tex] Hz
Explanation:
We are given the wavelength of the orange light and we are to find the value of its frequency.
Wavelength of orange light = [tex]6.0 \times 10^{-7} m[/tex]
We know that:
Speed of light = Frequency of orange light × Wavelength of orange light
Substituting the values in the above formula:
[tex]3 \times 10^8[/tex] = Frequency of orange light × [tex]6.0\times10^{-7}[/tex]
Frequency of orange light = [tex]\frac{3 \times 10^8}{6\times10^{-7}} =5 \times 10^{14}[/tex] Hz
Which statement is true?
ACombustion engines burn gasoline, a renewable resource, to power a vehicle.
BHydroelectric dams use the energy from blowing wind to generate electricity.
C Many power plants burn fossil fuels, a renewable resource, to generate electricity.
D Natural gas can be burned, producing hot gases that turn turbines to generate electricity.
This is kind of an awkward situation.
A, B, and C are definitely false:
A ... gasoline is not a renewable resource
B ... hydroelectric dams don't use wind for anything; windmills do
C ... fossil fuels are not renewable resources
So that leaves D, but D is partly absurd too.
Natural gas burning does not produce gases to turn the turbines. Natural gas is burned to produce HEAT, just like on the stove in my kitchen. The heat is used to boil water, and the steam from the boiling water is what turns the turbines to generate electrical energy.
But I guess you gotta pick choice-D as the answer.
The answer is D. Natural gas can be burned, producing hot gases that turn turbines to generate electricity.
Acceleration is the magnitude of average velocity.
False. Acceleration is not the magnitude of average velocity.
What is acceleration?Acceleration is the rate at which an object's velocity changes over time. It is a vector quantity and is defined as the change in velocity divided by the change in time.
Mathematically the formula for acceleration is given as;
a = Δv / Δt
where;
Δv is the change in velocityΔt is the change in timeAverage velocity, on the other hand, is the displacement of an object divided by the time taken. It is also a vector quantity and is defined as the change in position divided by the change in time.
Thus, we can conclude that acceleration is not the magnitude of average velocity.
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The complete question is below:
Acceleration is the magnitude of average velocity. True/False?
Acceleration is not the magnitude of average velocity but is the rate at which velocity changes in terms of magnitude or direction. Calculated by dividing the change in velocity by the time interval, it is a vector with its own SI unit of m/s². Average acceleration differs from instantaneous acceleration and can be positive, negative, or zero.
Explanation:The statement 'Acceleration is the magnitude of average velocity' is incorrect. Instead, acceleration is defined as a change in velocity, which can be in terms of magnitude or direction, or both. When you have a change in velocity (∆v) over a time interval (∆t), the average acceleration (αavg) is calculated. This is expressed as α = ∆v/∆t. The SI units for acceleration are meters per second squared (m/s²).
Acceleration is always a vector, meaning it has both magnitude and direction. It is important to note that acceleration does not just involve an increase in speed; it includes any change in velocity, including reduction in speed (deceleration) and changes in direction. Average acceleration differs from instantaneous acceleration, which is the rate of change of velocity at a specific point in time. To understand average acceleration, one should consider the total change in velocity and the total time over which this change occurred, without needing to know every single instantaneous rate of change.
The spectra for elements are _____.
all the same
the same for a chemical family
the same for elements with similar mass
all different and specific to each
Answer:
D) all different and specific to each
Explanation:
I just finished the test.
Rony fills a bucket with water and whirls it in a vertical circle to demonstrate that the water will not spill from the bucket at the top of the loop. If the length of the rope from his hand to the centre of the bucket is 1.24 m, what is the minimum tension in the rope (at the top of the swing)? How slow can he swing the bucket? Explain your answer.
Answer:
0 N, 3.49 m/s
Explanation:
Draw a free body diagram for the bucket at the top of the swing. There are two forces acting on the bucket: weight and tension, both downwards.
If we take the sum of the forces in the radial direction, where towards the center is positive:
∑F = ma
W + T = m v² / r
The higher the velocity that Rony swings the bucket, the more tension there will be. The slowest he can swing it is when the tension is 0.
W = m v² / r
mg = m v² / r
g = v² / r
v = √(gr)
Given that r = 1.24 m:
v = √(9.8 m/s² × 1.24 m)
v = 3.49 m/s
Which of the following are similarities between nuclear reactors and nuclear
bombs?
!!!! check all that apply !!!
A- both have critical mass
B- both produce exactly one additional fission for each fission
C- both are runaway fission reactions
D- both use chain reactions
Answer:
A. both have critical mass
D. both use chain reactions
Apex.
Answer:
A & D
Explanation:
A boy Is it running with a kinetic energy of 810 J. If the boy has a mass of 80 kg what is his speed
Answer:
10.125
Explanation:
Answer:
4.5 m/s
Explanation:
Kinetic energy is:
KE = ½ mv²
where m is mass and v is velocity.
Given KE = 810 J and m = 80 kg:
810 J = ½ (80 kg) v²
v = 4.5 m/s
A soccer ball is traveling at a velocity of 50 m/s The kinetic energy of the ball is 500 J What is the mass of the secer bort?
Answer: 0.4
Explanation:
the Answer is 0.4 which is c
To achieve a speed of 2 m/s, the bottle must be dropped at m. To achieve a speed of 3 m/s, the bottle must be dropped at m. To achieve a speed of 4 m/s, the bottle must be dropped at m. To achieve a speed of 5 m/s, the bottle must be dropped at m. To achieve a speed of 6 m/s, the bottle must be dropped at m.
Answer:
[tex]\begin{array}{l|l}\text{Speed}\; \mathrm{(m\cdot s^{-1})} & \text{Minimum Height\;(m)}\\\cline{1-2}\\[-1em] 2 & 0.204\\3&0.459\\4 & 0.815\\5 & 1.27 \\6 & 1.83\end{array}[/tex].
Assumptions:
The object is dropped in a free fall.There's no air resistance.The downward acceleration due to gravity is [tex]\rm 9.81\;m\cdot s^{-2}[/tex]Explanation:
Consider the "SUVAT" equation
[tex]\displaystyle \frac{v^{2} - u^{2}}{2a} = x[/tex],
where
[tex]v[/tex] is the final velocity,[tex]u[/tex] is the initial velocity,[tex]a[/tex] is the acceleration of the object, and[tex]x[/tex] is the change in the object's position.For example, if the bottle needs to achieve a speed of [tex]v = \rm 2\; m\cdot s^{-1}[/tex] by the time it reaches the ground,
[tex]u = 0[/tex] since the statement that the bottle is "dropped" implies a free fall.[tex]a = g = \rm 9.81\;m\cdot s^{-2}[/tex].Apply the previous equation to find the minimum height, [tex]x[/tex]:
[tex]\displaystyle x = \frac{v^{2} - u^{2}}{2a} = \rm \frac{\left(2\; m\cdot s^{-1}\right)^{2}}{2\times 9.81\; m\cdot s^{-2}} \approx 0.204\; m[/tex].
Replace the [tex]v[/tex] value and apply the formula to find the minimum height required to reach different final speeds.
Answer:
0.20
0.46
0.82
1.28
1.84
Explanation:
To achieve a speed of 2,3,4,5,6 m/s, the bottle must be
The force on an object is given by the equation F= ma. In this equation, Fis
the force, m is the mass, and a is the acceleration. What is the force on an
object that has a mass of 3.4 kg and an acceleration of 8.1 m/s??
O A. 4.7 N
O B. 11.5 N
O C. 27.5 N
O D. 2.4N
Answer:
C. 27.5 N
Explanation:
F = ma is the equation given to you, in which:
F = force
m = mass = 3.4 kg
a = acceleration = 8.1 m/s
Plug in the corresponding numbers to the corresponding variables:
F = (3.4)(8.1)
F = 27.54
C. 27.5 N is your closest answer when rounded to the nearest tenths.
~
Answer:
C. 27.5 N
Explanation:
The force on an object that has a mass of 3.4 kg and an acceleration of 8.1 m/s is 27.5 N.
F = (3.4)(8.1)
F = 27.54
What is the relationship between amplitude and volume?
Answer:
Explanation:
The sound moves in the form of waves. The amplitude is the distance between the highest and the lowest point of a wave. In this way the amplitude indicates the amount of energy that a sound signal contains.
Intensity is the amount of acoustic energy that a sound contains. Intensity is measured in decibels. Volume is a measure of the energy that a signal carries, being a magnitude of intensity.
In this way it is possible to say that the energy of a signal is closely related to its amplitude, but its development over time is also important.
The tone or height is the quality that distinguishes between a high or low sound and a low or high sound.
The maximum speed of a 4.1 kg mass attached to spring is 0.78 m/s and the maximum force exerted on the mass is 13 N.
(a) what is the amplitude of motion for this mass?
(b) what is the force constant of the spring?
(c) What is the frequency of this system?
Start with the conservation of energy. The spring potential energy and the mass' kinetic energy will fluctuate over time, but their sum will stay constant. The maximum spring potential energy equals the maximum kinetic energy.
0.5mv² = 0.5kx²
m is the mass, v is the maximum velocity, k is the spring constant, and x is the maximum displacement along the spring.
Given values:
m = 4.1kg
v = 0.78m/s
Calculate the maximum kinetic energy.
Max KE = 0.5mv² = 1.247J
Set this equal to the maximum spring potential energy.
Max spring PE = 0.5kx² = 1.247J
x² = 2.494/k
The spring force is F = kx
Max F = kx = 13N
x = 13/k
x² = 169/k²
Set both values of x² equal to each other and solve for k the spring constant:
2.494/k = 169/k²
2.494k = 169
k = 67.8N/m
Use k to find x:
Max F = kx = 13N
67.8x = 13
x = 0.192m
The frequency of the system is given by:
f = (1/(2π))√(k/m)
f is the frequency, k is the spring constant, m is the mass.
f = (1/(2π))√(67.8/4.1)
f = 0.647Hz
The amplitude is the maximum distance from the mean position. The amplitude for the motion for the given mass is 2.658 m.
From the formula of Maximum velocity :
[tex]V_{max } = 2\pi fA[/tex]
For Amplitude:
[tex]A = \dfrac { V_{max}}{2\pi f} [/tex]
Where,
[tex]V_{max } [/tex] - maximum velocity of the mass = 0.78 m/s
[tex]f[/tex] - force exerted on the object = 13 N
[tex]A[/tex]- amplitude = ?
Put the values in the formula and solve it for [tex]A[/tex],
[tex]A = \dfrac {13 }{2\pi \times 0.78 } \\\\ A = \dfrac {13}{4.89}\\\\ A = 2.658[/tex]
Therefore, the amplitude for the motion for the given mass is 2.658 m.
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If the change in velocity increases, what happens to the acceleration during the same time period?
Acceleration decreases.
O Acceleration increases
Acceleration becomes negative.
O Acceleration becomes steady
Fast plz and it’s not becomes steady
Answer:
B
Explanation:
Took on Edge 2022
Which waves can travel only through solids?
Answer:
S- waves
Explanation:
S- waves are known as secondary waves or shear waves. They only propagate through solid medium only.
S- waves are elastic seismic waves that propagates transversely moving materials perpendicularly along their direction. In the process, they cause shearing. Only solids have enough shear strength to withstand the movement of s-waves without getting altered. Liquids and gases cannot shear and would not allow s-waves to propagate through them.
Difference between emitter and absorbers
An emitter allows things to pass through a surface from inside to outside.
An absorber allows something to pass through it from the outside to the inside.
Answer/Explanation:
Shiny surfaces are poor absorbers and emitters (but they are good reflectors of infrared radiation). If two objects made from the same material have identical volumes, a thin, flat object will radiate heat energy faster than a fat object. This is one reason why domestic radiators are thin and flat.
What is the slope of a constant velocity
if it is a displacement time graph, It will increase upwards in a straight line.
If it is a velocity time graph it will remain as a straight horizontal line
If it is an acceleration time graph there will be a horizontal straight line at 0
A novelty golf ball of mass m is launched with an initial velocity v0 = (25i + 13j) m/s and then follows a parabolic trajectory. At the top of the ball’s trajectory, it explodes into two fragments A and B. Fragment A has mass mA = 1/3 m and is stationary immediately after the explosion, while Fragment B has mass mB = 2/3 m and has non-zero velocity vB immediately after splitting from Fragment A. In answering the following questions, ignore air resistance and assume the terrain over which the ball and fragments fly is level.(a) How many seconds after the launch does the ball attain its maximum height? (b) What is the velocity v of the ball immediately prior to the explosion? (c) What is the velocity of Fragment B immediately before it hits the ground?
Explanation:
(a)
The initial vertical velocity is 13 m/s. At the maximum height, the vertical velocity is 0 m/s.
v = at + v₀
0 = (-9.8) t + 13
t ≈ 1.33 s
(b)
Immediately prior to the explosion, the ball is at the maximum height. Here, the vertical velocity is 0 m/s, and the horizontal velocity is constant at 25 m/s.
v = √(vx² + vy²)
v = √(25² + 0²)
v = 25 m/s
(c)
Momentum is conserved before and after the explosion.
In the x direction:
m vx = ma vax + mb vbx
m (25) = (⅓ m) (0) + (⅔ m) (vbx)
25m = (⅔ m) (vbx)
25 = ⅔ vbx
vbx = 37.5 m/s
And in the y direction:
m vy = ma vay + mb vby
m (0) = (⅓ m) (0) + (⅔ m) (vby)
0 = (⅔ m) (vby)
vby = 0 m/s
Since the vertical velocity hasn't changed, and since Fragment B lands at the same height it was launched from, it will have a vertical velocity equal in magnitude and opposite in direction as its initial velocity.
vy = -13 m/s
And the horizontal velocity will stay constant.
vx = 37.5 m/s
The velocity vector is (37.5 i - 13 j) m/s. The magnitude is:
v = √(vx² + vy²)
v = √(37.5² + (-13)²)
v ≈ 39.7 m/s
Which of the following is a characteristic of electromagnetic waves?
They are all visible
They have a purely particle nature.
They can travel with or without a medium.
They cannot travel very fast.
PLS ANSWER ASAPPP!!!
Answer:
the answer is c
Explanation:
mechanical waves must travel through a medium but electromagnetic waves do not have to
Which term best describes the phrase "the best explanation that science has
to offer"?
A. Theory
B. Law
C. Experiment
D. Observation
The term 'Theory' best describes the phrase as it refers to a well-substantiated explanation of some aspect of the natural world, that has been repeatedly tested and confirmed through the scientific method.
Explanation:The term that best describes the phrase 'the best explanation that science has to offer' is Theory. In scientific terms, a 'theory' is more than just a guess. It is a well-substantiated explanation of some aspect of the natural world that is acquired through the scientific method, and repeatedly tested and confirmed through observation and experimentation.
Laws are generally observed patterns that apply universally. Experiments are practical procedures undertaken to derive or validate a fact, and Observation is the act of gathering and analyzing data. These are all integral components of scientific investigation, but the term 'theory' is the one that aligns most closely with 'the best explanation'.
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When you see your reflection in a flat (plane) mirror, how does the size of the
image compare with the size of the object (you)?
same
the size of image is the same with object in reflection
Answer: the size of the image will be the same as the object.
Explanation: image formed by plane mirror is:
1. Same size as the object
2. Laterally inverted
3. Form behind the mirror
4. Virtual
5. Same distance as the object from the mirror
- A ship's total weight is equal to the weight of the water it displaces. If you want to calculate the
ship's weight, you must first know
a. the volume of water in the lake or ocean in which the ship is floating.
b. the volume of the entire ship.
c. the volume of the part of the ship that lies below the water's surface.
d. All of the above
Answer:
c. the volume of the part of the ship that lies below the water's surface.
Explanation:
As stated in the problem, Archimedes' Principle tells us that that buoyant force on an object is equal to the weight of fluid it displaces. The volume of water that a ship displaces is the volume it occupies below the surface.
The absolute temperature corresponding to 200°C is
a) 73 K
b) 73 K
c) 473 K
d) 427 K
Answer:
C) 473 K
Explanation:
The conversion from Celsius to Kelvin is:
K = C + 273.15
So if the temperature is 200 °C:
K = 200 + 273.15
K = 473.15
Which is approximately answer C.
The absolute temperature corresponding to 200°C is 473 K. This is calculated by adding 273.15 to the Celsius (in accordance to the Celsius-Kelvin conversion formula) and rounding to the nearest whole number.
Explanation:The absolute temperature measurement is typically done in Kelvin (K), which is the temperature scale used in science because it is an absolute temperature scale. Zero degrees on the Kelvin scale, known as absolute zero, is theoretically the point at which molecular motion ceases, producing no thermal energy. A useful thing about the Kelvin scale is that it corresponds directly with the Celsius temperature scale, with a linear shift of 273.15 degrees. In other words, if you want to convert from Celsius to Kelvin, you simply add 273.15 to the Celsius temperature.
In the case of the given temperature of 200 degrees Celsius, the conversion to Kelvin would be 200 + 273.15 = 473.15 K.
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Is mechanical energy conserved as a playground swing moves? Why or why not?
Answer:NO
Explanation:
No, because as it swings it is mechanical energy that changes from almost completely potential energy to almost completely kinetic energy and thermal and sound.
A young man named Peter buys a sports car that can accelerate at the rate of 4.90 m/s2. He decides to test the car by racing with another speedster, John. Both start from rest, but experienced John leaves the starting line 1.00 s before Peter. If John moves with a constant acceleration of 3.50 m/s2, and Peter maintains an acceleration of 4.90 m/s2, find (a) the time it takes Peter to overtake John, (b) the distance Peter travels before he catches John, and (c) the speeds of both cars at the instant Peter overtakes John.
Answer:
a) 6.46 s
b) 73.0 m
c) 22.6 m/s, 26.7 m/s
Explanation:
The position can be found with constant acceleration equation:
x = x₀ + v₀ t + ½ at²
where x is the final position,
x₀ is the initial position,
v₀ is the initial velocity,
a is the acceleration,
and t is the time.
For John:
x₀ = 0 m
v₀ = 0 m/s
a = 3.50 m/s²
For Peter:
x₀ = 0 m
v₀ = 0 m/s
a = 4.90 m/s²
John's position at time t is:
x = 0 + (0) t + ½ (3.50) t²
x = 1.75 t²
Peter starts 1 second after John. Peter's position at time t−1 is:
x = 0 + (0) (t−1) + ½ (4.90) (t−1)²
x = 2.45 (t−1)²
When Peter overtakes John, they have the same position:
1.75 t² = 2.45 (t−1)²
1.75 t² = 2.45 (t² − 2t + 1)
1.75 t² = 2.45 t² − 4.90 t + 2.45
0 = 0.70 t² − 4.90 t + 2.45
0 = 2 t² − 14 t + 7
t = [ 14 ± √(169 − 4(2)(7)) ] / 4
t = 0.54, 6.46
Since t > 1, Peter overtakes John 6.46 seconds after the race starts, which means he drives for 5.46 seconds.
The distance Peter travels is:
x = 2.45 (6.46 − 1)²
x = 73.0
Peter travels 73.0 meters.
The speed that John reaches is:
v = (3.50 m/s²) (6.46 s)
v = 22.6 m/s
The speed that Peter reaches is:
v = (4.90 m/s²) (5.46 s)
v = 26.7 m/s
Peter takes 5 seconds to overtake John, travels a distance of 61.25 meters before he catches up, and they have speeds of 24.5 m/s and 21.0 m/s, respectively, at the instant Peter overtakes John.
Explanation:To solve this physics problem, we use the equations of motion to determine the time it takes for Peter to overtake John, the distance Peter travels before he catches John, and the speeds of both cars at the instant Peter overtakes John. Since both Peter and John start from rest, their initial velocities (v0) are 0 m/s. Peter accelerates at 4.90 m/s2, while John accelerates at 3.50 m/s2. John starts 1 second before Peter.
Solution:
Let t be the time after Peter starts when he catches up to John. Since John had a 1 second head start, John's time is (t+1) seconds. The distance each covers is given by the equation of motion x = v0t + 1/2at2.For Peter: x = 1/2(4.90 m/s2)t2For John: x = 1/2(3.50 m/s2)(t+1)2Since they cover the same distance when Peter catches up, we can set these two equations equal and solve for t.After some algebraic manipulation, we find that t = 5 seconds.The distance Peter travels is found by substituting the value of t back into Peter's equation of motion, giving x = 1/2(4.90 m/s2)(5 s)2 = 61.25 meters.To find the speeds of both cars at the instant Peter overtakes John, we use the formula v = v0 + at. For Peter, v = 0 m/s + (4.90 m/s2)(5 s) = 24.5 m/s. For John, v = 0 m/s + (3.50 m/s2)(5+1 s) = 21.0 m/s.Therefore, Peter takes 5 seconds to overtake John, travels a distance of 61.25 meters before he catches up, and they have speeds of 24.5 m/s and 21.0 m/s, respectively, at the instant Peter overtakes John.
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What are the two factors that determine the strength of the force of friction
between two sliding objects?
The frictional force between two sliding objects is given by:
F = μN
μ is the coefficient of kinetic friction, N is the normal force one object exerts on the other.
These are the two factors that influence the frictional force, the coefficient of friction and the normal force that the objects exert on each other.
The strength of the force of friction between two sliding objects is determined by the type of surfaces in contact and the normal force.
Explanation:The strength of the force of friction between two sliding objects is determined by two factors:
The type of surfaces in contact: Different materials have different levels of roughness, which affects the force of friction. For example, rough surfaces create more friction than smooth surfaces.The normal force: This is the force exerted by one object on another when they are in contact. The strength of the frictional force increases as the normal force increases.For example, if two objects with rough surfaces are in contact and the normal force between them is large, the frictional force will be strong. Conversely, if the surfaces are smooth and the normal force is small, the frictional force will be weak.
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Which factors can most directly affect the motion of a spring? Check all that apply. the color of the spring the stiffness of the spring the mass of the spring itself the force applied to the spring the distance the spring is stretched
Answer:
-THE STIFFNESS OF THE SPRING
-THE FORCE APPLIED TO THE SPRING
-THE DISTANCE THE SPRING IS STRETCHED
Explanation:
Spring stiffness applied force, and stretched distance can most directly affect the motion of a spring.
What is spring force?The force required to extend or compress a spring by some distance scales linearly with respect to that distance is known as the spring force.
Its formula is
F = kx
The factors can most directly affect the motion of a spring:
The stiffness of the spring.
The forces applied to the spring.
The distances the spring is stretched.
Hence, spring stiffness applied force, and stretched distance can most directly affect the motion of a spring.
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How does an atom of chlorine-37 become a chloride ion with a -1 charge?
17
35.45
O
A. The atom gains 1 electron, to make a total of 21.
O
B. The atom gains 1 electron, to make a total of 18.
O
C. The atom loses 1 proton, to make a total of 36.
O
D. The atom loses 1 proton, to make a total of 16.
Answer:
B. The atom gains 1 electron, to make a total of 18 electrons.
Explanation:
Chlorine is the 17th element in the periodic table, so it has atomic number 17:
Z = 17
This means that a neutral atom of chlorine has 17 protons and 17 electrons.
When a chlorine atom gains 1 electron, its electric charge (initially zero) becomes -1, since the electron has negative charge of -1 (in elemntary charge units). This also means that the number of electrons in the ion is now
17 + 1 = 18
So the correct answer is
B. The atom gains 1 electron, to make a total of 18 electrons
A cannonball is fired on flat ground
at 420 m/s at a 53.0° angle. What
maximum height does it reach?
hmax = 5740.48 m. The maximum height that a cannonball fired at 420 m/s at a 53.0° angles is 5740.48m.
This is an example of parabolic launch. A cannonball is fired on flat ground at 420 m/s at a 53.0° angle and we have to calculate the maximum height that it reach.
V₀ = 420m/s and θ₀ = 53.0°
So, when the cannonball is fired it has horizontal and vertical components:
V₀ₓ = V₀ cos θ₀ = (420m/s)(cos 53°) = 252.76 m/s
V₀y = V₀ cos θ₀ = (420m/s)(cos 53°) = 335.43m/s
When the cannoball reach the maximum height the vertical velocity component is zero, that happens in a tₐ time:
Vy = V₀y - g tₐ = 0
tₐ = V₀y/g
tₐ = (335.43m/s)/(9.8m/s²) = 34.23s
Then, the maximum height is reached in the instant tₐ = 34.23s:
h = V₀y tₐ - 1/2g tₐ²
hmax = (335.43m/s)(34.23s)-1/2(9.8m/s²)(34.23s)²
hmax = 11481.77m - 5741.29m
hmax = 5740.48m
Answer:
5740.48
Explanation:
The wave shown below is produced in a rope.
Which shows the motion of the rope at Point P as the wave passes through it?
Answer: B
Explanation:
Answer:B
Explanation:
an aeroplane is flying at 1960m with velocity of 600km/hr. a bomb is dropped at some point A while it reaches at B.the distance between A and B is how much
Answer:
3.33 km
Explanation:
Use the plane's height to find the time it takes for the bomb to land.
y = y₀ + v₀ t + ½ gt²
0 = 1960 + (0) t + ½ (-9.8) t²
t = 20
Now use the horizontal velocity to find the horizontal distance traveled. But first, convert km/hr to m/s:
600 km/hr × (1000 m / km) × (1 hr / 3600 s) = 166.67 m/s
x = x₀ + v₀ t + ½ at²
x = 0 + (166.67) (20) + ½ (0) (20)²
x = 3333.33
The distance between A and B is 3.33 km.
Answer:
3.33 km
Explanation:
An aeroplane is flying at 1960m with velocity of 600km/hr and a bomb is dropped at some point A while it reaches at B.the distance between A and B is 3.33 km.