Explanation:
Average velocity = change in position over change in time.
v = (x − x₀) / t
Average velocity is defined as the displacement divided by the time of travel.
Explanation:Average velocity is defined as the displacement (change in position) divided by the time of travel. It can be calculated using the formula:
Average velocity = Displacement / Time
For example, if an object moves 100 meters and takes 10 seconds to do so, the average velocity would be 10 meters per second.
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.
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
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.
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.
A shuttle on Earth has a mass of 4.5 E 5 kg. Compare its weight on Earth to its weight while in orbit at a height of 6.3 E 5 meters above the surface of the Earth. Approximately what percent of its weight does the space shuttle retain?
11%
44%
83%
91%
Answer:
83%
Explanation:
On the surface, the weight is:
W = GMm / R²
where G is the gravitational constant, M is the mass of the Earth, m is the mass of the shuttle, and R is the radius of the Earth.
In orbit, the weight is:
w = GMm / (R+h)²
where h is the height of the shuttle above the surface of the Earth.
The ratio is:
w/W = R² / (R+h)²
w/W = (R / (R+h))²
Given that R = 6.4×10⁶ m and h = 6.3×10⁵ m:
w/W = (6.4×10⁶ / 7.03×10⁶)²
w/W = 0.83
The shuttle in orbit retains 83% of its weight on Earth.
The correct option is c) 83%.
Given :
A shuttle on Earth has a mass of [tex]4.5\times 10^5[/tex] kg.
Shuttle is at height of [tex]6.3\times 10^5[/tex] meters above the surface of the Earth.
Solution :
On the surface of Earth, the weight is
[tex]\rm W = \dfrac{GMm}{R^2}[/tex] ---- (1)
Where,
G is the gravitational constant,
M is the mass of the Earth,
m is the mass of the shuttle,
R is the radius of the Earth.
In orbit the weight is,
[tex]\rm w = \dfrac{GMm}{(R+h)^2}[/tex] ----- (2)
Now we take the ratio of equation (2) to (1),
[tex]\rm \dfrac{w}{W}= \dfrac{R^2}{(R+h)^2}[/tex] ----- (3)
Now put the values of R and h in equation (3) we get,
[tex]\rm \dfrac{w}{W} = 0.83[/tex]
= 83%
Therefore, the correct option is c) 83%
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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
The gravitational force between two objects is zero… A. when the two objects are not moving. B. when another object lies in-between the two original objects. C. when the distance between them becomes extremely large. D. at a location halfway between the two objects. help me plz!!!!
Answer:
C. when the distance between them becomes extremely large
Explanation:
The gravitational force between two masses is:
F = GMm / r²
where G is the universal constant of gravitation,
M and m are the masses of the objects,
and r is the distance between the objects.
As r grows very large, F grows very small.
Answer:
v
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:
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:
• The water displaced by the brick had a volume of 0.96 liters, which tells you that
a. the brick's volume was 0.96 liters.
b. the brick's volume was 9.6 liters.
c. the brick's volume was 0.96 milliliters.
d. the brick's weight was 960 milliliters.
Answer:
a. the brick's volume was 0.96 liters.
Explanation:
A brick is denser than water, so it sinks. So the volume of water the brick displaces is equal to the brick's total volume.
Volume is a three-dimensional scalar quantity. The water displaced by the brick had a volume of 0.96 liters, which tells that the brick's volume was 0.96 liters. The correct option is A.
What is volume?A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
As it is known that volume occupies space, now, if the brick is put in water and it takes the place of water, therefore, the volume of the brick will be the same as the volume displaced by it.
Hence, The water displaced by the brick had a volume of 0.96 liters, which tells that the brick's volume was 0.96 liters.
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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
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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Which of the following factors could you change in a system and not change its induced EMF?
A.
magnetic field
B.
type of wire
C.
velocity of the wire
D.
length of the wire in the field
Answer:
The type of wire
Explanation:
E=Blv
Answer:
The type of wire
Explanation:
The EMF is induced in the closed conducting loop whenever there is a change in the magnetic flux linked with it. Mathematically, it is given by :
[tex]\epsilon=\dfrac{-d\phi}{dt}[/tex]
Where
[tex]\phi[/tex] is the magnetic flux
[tex]\phi=B.A[/tex]
[tex]\epsilon=\dfrac{-d(BA)}{dt}[/tex]
For n number of coils,
[tex]\epsilon=\dfrac{-d(NBA)}{dt}[/tex]
Where
B is the magnetic field
A is the area of the coil
If the coil is moved with the speed of v in the magnetic field, then induced EMF is given by :
[tex]\epsilon=Blv[/tex]
l is the length of the coil
So, the induced EMF depends on the following factors:
magnetic fieldvelocity of the wirelength of the wire in the fieldSo, the type of wire do not change the induced emf of the coil. Hence, the correct option is (b).
Is the universe endless, how and why?
Answer:
Unknown
Explanation:
Because we cannot observe space beyond the edge of the observable universe, it is unknown whether the size of the Universe in its totality is finite or infinite.
The given statement is true, that is, the universe is endless due to the fact that it is not limited with a specified boundary.
Explanation:
Universe has unimaginable length and width due to the limit of the present day science and technological adaptation because of which we haven’t explored the full universe yet. The world in which we live is the Earth which has been cartographed and studied well along with the Milky Way galaxies.
But beyond this, there are thousands and millions of galaxies which has not been studied. Then there is a frame of reference of study with the dimensional frame where we have been adept to 3 dimensions only and the [tex]4^{th}[/tex] dimension is yet to be studied.
Which of the following are steps for balancing chemical equations?
Check all that apply.
] A. Multiply the reactants to get the products.
B. Change subscripts.
O
C. Recheck the numbers of each atom on each side of the equation
to make sure the sides are equal.
D. Choose coefficients that will balance the equation.
Answer:
C. Recheck the numbers of each atom on each side of the equation
to make sure the sides are equal.
D. Choose coefficients that will balance the equation
Explanation:
In balancing of chemical equation, the number of atoms on both sides must be equal in adherence to the law of conservation of mass.
Using the method of inspection, the equation is first observed to know the relationship between the combining atoms and the resulting ones.
After observing the reaction, put a coefficient that will balance the equation. Then recheck the number of each atom on both side of the equation. One can repeat the process till the equation is balanced.
The steps of balancing a chemical equation include rechecking the numbers of each atom and choosing coefficients that will balance the equation. Options A and B are not part of the balancing process.
Explanation:To balance a chemical equation, you normally adhere to a few critical steps. These do not include options A and B. You should not multiply reactants to get products, and you shouldn't change subscripts, which would alter the nature of the substances involved. You should,
C. Recheck the numbers of each atom on each side of the equation to ensure that both sides have equal numbers of each type of atom, D. Choose coefficients that will balance the equation by making sure the number of atoms for each element is the same on both the reactant and product sides of the equation.Balancing chemical equations aims to observe the law of conservation of mass, which states that matter can neither be created nor destroyed.
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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.
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
4. A 1,000-kilogram satellite completes a uniform circular orbit of radius 8.0 x 10 meters as
measured from the center of Earth. The mass of Earth is approximately 6.0 x 10-7 kilograms,
and the universal gravity constant is approximately 7.0 x 10-11 N•m/kg. Determine the
work done by gravity as the satellite completes one full orbit around Earth.
Answer:
Zero
Explanation:
The work done by a force on an object is given by:
[tex]W=Fd cos \theta[/tex]
where
F is the magnitude of the force
d is the displacement of the object
[tex]\theta[/tex] is the angle between the direction of the force and the displacement of the object
In this situation, the force is the force of gravity acting on the satellite. This force always points towards the centre of the trajectory, so it is always perpendicular to the direction of motion of the satellite (since the orbit is circular), so [tex]\theta=90^{\circ}[/tex] and [tex]cos \theta =0[/tex]. Therefore, the work done by gravity is also zero.
Answer:
zero
Explanation:
on edg.
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.
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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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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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.
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
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 body initially at rest explodes into two masses M1 and M2 that moves apart with speeds v1 and v2 respectively. what is the ratio v1/v2?
a)-M2/M1
b)M2/M1
Answer:
a)-M2/M1
Explanation:
Momentum is conserved:
M₁ v₁ + M₂ v₂ = 0
M₁ v₁ = -M₂ v₂
v₁ / v₂ = -M₂ / M₁
In the given physical scenario, by adhering to the conservation of momentum, you can find the ratio of the speeds v1/v2 which is represented by -M2/M1.
Explanation:From the conservation of momentum, we might deduce that the total momentum of a system of particles is constant if there is no resultant external force. Before the explosion, the body was at rest, indicating that its total momentum was zero. After the explosion, the total momentum should still be zero. Hence, the momentum of M1 moving at speed v1 should be equal but opposite to the momentum of M2 moving at speed v2. This is represented mathematically as M1*v1 = M2*v2. By rearranging this equation, we can find the ratio v1/v2 which equals -M2/M1.
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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
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
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
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
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