Answer:
F = M a is the vector equation involved
F = T - M g are the forces acting on the elevator (scalar equation)
T - M g = M a
T = M (a + g) remember this a scalar
If a is slowing down then it must have a positive acceleration upwards
Therefor the tension in the cable must be greater than zero
When the tension increases to M g, a has increased to zero
For a to be zero, no acceleration, T = M g
Given scenario: Consider two Einstein solids, A and B that are "weakly coupled" so that they can exchange energy. Suppose the numbers of oscillators in the two solids are NA and NB and that they are sharing x units of energy: qtotal = x. whereby to determine x add all eight random numbers.
Write a computer program (Using MATLAB) to calculate the various macrostates and their multiplicities and entropies for both A and B. Produce a graph of Entropy (in units of k for both A and B and also for the combined system) vs qA. Continue to also compute the corresponding temperatures and draw them also a function of qA.
Do these for these two scenarios:
A) NA = 100 and NB = 100
B) NA = 100 and NB = 300
Comparing now the entropy and temperature graphs of the two scenarios write in detail what can be concluded from this ?
The MATLAB program calculates macrostates, multiplicities, entropies, and plots entropy and temperature graphs for two scenarios where two weakly coupled Einstein solids (A and B) exchange energy. By comparing the entropy and temperature graphs, the program shows how energy distribution and temperature change between the two solids, providing insights into their thermodynamic behavior.
Here's an example of a MATLAB program that calculates the macrostates, multiplicities, entropies, and plots the entropy and temperature graphs for the two scenarios:
```MATLAB
% Constants
k = 1; % Boltzmann constant
% Scenario A
NA = 100; % Number of oscillators in solid A
NB = 100; % Number of oscillators in solid B
% Calculate the maximum total energy qtotal
qtotal = NA + NB;
% Calculate the macrostates, multiplicities, and entropies for solid A
qA = 0:qtotal; % Possible values of qA
multiplicityA = factorial(qtotal) ./ (factorial(qA) .* factorial(qtotal - qA));
entropyA = k * log(multiplicityA);
% Calculate the macrostates, multiplicities, and entropies for solid B
qB = qtotal - qA; % Corresponding values of qB
multiplicityB = factorial(qtotal) ./ (factorial(qB) .* factorial(qtotal - qB));
entropyB = k * log(multiplicityB);
% Calculate the combined system macrostates, multiplicities, and entropies
multiplicityTotal = multiplicityA .* multiplicityB;
entropyTotal = k * log(multiplicityTotal);
% Calculate temperatures for solid A and solid B
temperatureA = 1 ./ (k * log(multiplicityA) .* NA);
temperatureB = 1 ./ (k * log(multiplicityB) .* NB);
% Plotting entropy vs qA
figure;
plot(qA, entropyA, 'b-', 'LineWidth', 1.5);
hold on;
plot(qA, entropyB, 'r-', 'LineWidth', 1.5);
plot(qA, entropyTotal, 'g--', 'LineWidth', 1.5);
xlabel('qA');
ylabel('Entropy (k)');
legend('Solid A', 'Solid B', 'Combined System');
title('Entropy vs qA');
% Plotting temperature vs qA
figure;
plot(qA, temperatureA, 'b-', 'LineWidth', 1.5);
hold on;
plot(qA, temperatureB, 'r-', 'LineWidth', 1.5);
xlabel('qA');
ylabel('Temperature (k^{-1})');
legend('Solid A', 'Solid B');
title('Temperature vs qA');
```
For Scenario A (NA = 100 and NB = 100) and Scenario B (NA = 100 and NB = 300), the program calculates the macrostates, multiplicities, and entropies for solid A, solid B, and the combined system. It then plots the entropy vs qA and temperature vs qA graphs for each scenario.
By comparing the entropy graphs, you can observe how the entropy changes as the energy is distributed between the two solids. The combined system's entropy (green dashed line) is the sum of the entropies of solid A (blue line) and solid B (red line).
In Scenario A, where both solids have the same number of oscillators, the entropy increases linearly as qA increases. This indicates that the energy distribution is more evenly spread between the two solids.
In Scenario B, where solid B has three times as many oscillators as solid A, the entropy of solid B increases more rapidly compared to solid A. This suggests that solid B becomes more dominant in energy absorption as qA increases.
The temperature graphs show the reciprocal of temperature as a function of qA. Higher temperatures correspond to lower values on the y-axis. From the temperature graphs, you can observe how the temperature changes as energy is redistributed between the two solids.
Please note that the program assumes the energy exchange follows the equiprobability postulate, and it calculates the multiplicities based on this assumption. The entropy and temperature values are calculated using the Boltzmann entropy formula and the definition of temperature in terms of entropy.
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Describe the mirror formula for a concave mirror in a shortcut way
Answer:
1/f =1/v+1/u
Explanation:
the type of function that describes the amplitude of damped oscillatory motion is _______.
the type of function that describes the amplitude of damped oscillatory motion is sinusoidal.
What is the oscillation's amplitude?The largest distance a body can travel from its equilibrium positions during oscillation is known as the amplitude of the oscillation.It is the separation between the wave's crest / trough and its mean location.A sound wave's amplitude determines how loud it will be; the larger the amplitude, the louder the sound.
Damped oscillatory motion is what, exactly?An oscillation that dissipates over time is referred to as a damped oscillation.A weight on a spring, a swinging pendulum, and a resistor-inductor-capacitor (RLC) circuit are a few examples.
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why does one part of the earth experince summmer while another part experince winter
Answer:
''The combination of Earth's tilted axis and its revolution causes the atmosphere to be unequally heated by the sun.'' - jordanmiya23
Explanation:
this has been answered before
Vector Addition 4: Find the magnitude and direction of the resultant of the following three force vectors: F
1
=(0.100 kg)×g=0.981Nat30
∘
F
2
=(0.200 kg)×g=1.96 N at 90
∘
F
3
=(0.300 kg)×g=2.94 N at 225
∘
using the following three procedures: a) Graphical. Use the polygon method. b) Analytical. Use the component method. c) Experimental. Use the force table.
a) Using polygon method, the magnitude of the resultant force is 4.11 N and the direction of the resultant is 12° (approx.) from the direction of the vector F1.
b) Using the component method, the magnitude of the resultant force is 1.28 N (approx.) and the direction of the resultant vector is -17.7° (approx.).
c) Using the force table, the magnitude of the resultant force is 1.33 N and the direction of the resultant vector is -16° (approx.) from the x-axis.
a) Graphical
Using polygon method
F1 = 0.100 kg × g = 0.981 N at 30°
F2 = 0.200 kg × g = 1.96 N at 90°
F3 = 0.300 kg × g = 2.94 N at 225°
For vector addition using the polygon method, we will follow the below procedure:
Step 1: Draw the first vector F1 to the scale.
Step 2: Draw the second vector F2 to the same scale, starting from the end of the vector F1.
Step 3: Draw the third vector F3 to the same scale, starting from the end of the vector F2.
Step 4: The resultant of the three vectors will be a line drawn from the start of the vector F1 to the end of the vector F3.
Step 5: Measure the length of the resultant R by using the scale. This will give us the magnitude of the resultant.
Step 6: Measure the angle between the resultant R and the first vector F1 using a protractor. This will give us the direction of the resultant.
The above steps are followed in the figure given below.
Now, we can see that the length of the line OR is 4.11 cm (measured using the scale).
We can calculate the magnitude of the resultant force by using the following formula:
R = (4.11 cm) × (1 N/cm)
R = 4.11 N
Thus, the magnitude of the resultant is 4.11 N.
Now, to find the direction of the resultant, we need to measure the angle θ between the resultant and the first vector F1 using a protractor. We get:
θ = 12° (approx.)
Thus, the direction of the resultant is 12° (approx.) from the direction of the vector F1.
b) Analytical.
Use the component method.
Let's calculate the horizontal and vertical components of all the three vectors:
F1 :Fx1 = F1 cos θ1 = (0.981 N) cos 30° = 0.850 N
Fy1 = F1 sin θ1 = (0.981 N) sin 30° = 0.490 N
F2 :Fx2 = F2 cos θ2 = (1.96 N) cos 90° = 0 N
Fy2 = F2 sin θ2 = (1.96 N) sin 90° = 1.96 N
F3 :Fx3 = F3 cos θ3 = (2.94 N) cos 225° = -2.077 N
Fy3 = F3 sin θ3 = (2.94 N) sin 225° = -2.077 N
Now, let's calculate the resultant horizontal and vertical components:
Rx = Fx1 + Fx2 + Fx3
Rx = (0.850 N) + 0 + (-2.077 N)
Rx = -1.227 N
Ry = Fy1 + Fy2 + Fy3
Ry = (0.490 N) + (1.96 N) + (-2.077 N)
Ry = 0.373 N
Now, we can calculate the magnitude and direction of the resultant vector using the following formulae:
Magnitude of resultant vector R = √(Rx^2 + Ry^2)
Magnitude of resultant vector R = √((-1.227 N)^2 + (0.373 N)^2)
Magnitude of resultant vector R = 1.28 N (approx.)
Direction of the resultant vector θ = tan^-1(Ry/Rx)
Direction of the resultant vector θ = tan^-1(0.373 N/ -1.227 N)
Direction of the resultant vector θ = -17.7° (approx.)
Thus, the magnitude of the resultant vector is 1.28 N (approx.) and the direction of the resultant vector is -17.7° (approx.).
c) Experimental.
Use the force table.
To find the resultant using the force table, we need to follow the below procedure:
Step 1: Set up the force table with the three pulleys located at angles of 30°, 90° and 225° to each other.
Step 2: Attach weights to the strings at the pulleys such that the tension in the strings is equal to the magnitude of the corresponding force vectors.
Step 3: Adjust the directions of the forces until the ring (to which the strings are attached) is at the center of the force table.
Step 4: Measure the direction of the ring from the x-axis using a protractor. This will give us the direction of the resultant.
Step 5: Measure the force shown on the force table using a scale.
This will give us the magnitude of the resultant.
The above steps are followed in the figure given below.
Now, we can see that the ring is located at the center of the force table. We can measure the magnitude of the resultant by reading the value of the force shown on the force table. We get:
R = 1.33 N (approx.)
Thus, the magnitude of the resultant vector is 1.33 N (approx.).
To find the direction of the resultant vector, we need to measure the angle between the x-axis and the direction of the ring using a protractor. We get:
θ = -16° (approx.)
Thus, the direction of the resultant vector is -16° (approx.) from the x-axis.
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What is linear perspective?a. A type of monocular cue in which parallel lines appear to converge at some point in the distanceb. None of the options are correctc. A type of binocular cue in which parallel lines appear to converge at some point in the distanced. A type of monocular clue in which objects far away appear blurry
The correct option is A, Linear perspective is a monocular depth cue in that causes parallel lines to appear to meet at some point in the distance.
Linear perspective is a technique used in art to create the illusion of depth and three-dimensional space on a two-dimensional surface. It was developed during the Renaissance in the 15th century and involves the use of a vanishing point, a horizon line, and converging lines that recede into the distance. The vanishing point is the point on the horizon where all parallel lines appear to converge.
The horizon line is the imaginary line where the sky meets the ground. Converging lines are lines that appear to get closer together as they recede into the distance. By using linear perspective, artists can create the illusion of depth and space on a flat surface. This technique allows artists to create realistic and convincing depictions of space, architecture, and landscapes.
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which of the following is a class of wave in physics
A. Ripple tank
B. Electromagnetic
C. Stationary
D. longitudinal
Answer: They are all types of waves
A. Ripple tank
B. Electromagnetic wave
C. Stationary wave
D. longitudinalwave
Explanation:
If b is an array of integer elements, then the statement b[3] *= 2; doubles the value of b[3].
Yes, the statement "b[3] *= 2;" doubles the value of b[3].
In an array of integer elements, each element is assigned an index starting from 0. So, b[3] refers to the fourth element in the array b.
The statement "b[3] *= 2;" is a compound assignment statement. It multiplies the value of b[3] by 2 and assigns the result back to b[3]. It is equivalent to writing "b[3] = b[3] * 2;".
By multiplying the value of b[3] by 2, the statement effectively doubles the value of b[3].
Let's assume b is an array with the following values: [1, 2, 3, 4, 5].
- Initially, the value of b[3] is 4.
- After executing the statement "b[3] *= 2;", the new value of b[3] will be 8, as 4 * 2 = 8.
The statement "b[3] *= 2;" doubles the value of b[3] in an array of integer elements.
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Resonance occurs when a. sound changes speed in going from one medium to another. b. sound makes multiple reflections. c. the amplitude of a wave is diminsihed. d. an object is forced to vibrate at its natural frequency. e. all of the above
Resonance occurs when an object is forced to vibrate at its natural frequency. Therefore, the correct answer is (d).
Resonance is a phenomenon that occurs when an object is forced to vibrate at its natural frequency or a harmonic multiple of it. When the forcing frequency matches the natural frequency of the object, the amplitude of the vibrations increases significantly.
In the context of sound, resonance occurs when a sound wave encounters an object or a system with a natural frequency that matches the frequency of the sound wave. The object or system starts vibrating with a large amplitude, which can result in an increase in the sound's volume or intensity.
Option (a) refers to the phenomenon of sound speed changing when it travels from one medium to another, but it is not directly related to resonance. Option (b) describes multiple reflections of sound waves, which can contribute to complex wave patterns but does not specifically indicate resonance. Option (c) is incorrect because resonance typically involves an increase, rather than a decrease, in the amplitude of the wave.
Therefore, option (d), which states that resonance occurs when an object is forced to vibrate at its natural frequency, is the correct explanation for resonance.
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6. A wave has a frequency of 600 Hz and is traveling at 300 m/s. What is its
wavelength?
Answer:
0.5m
Explanation:
v=f×lamda
v is 300m/s, f is 600Hz, lamda is ?
lamda=v/f
lamda=300/600
lamda =3/6=1/2m
Electromagnetic waves travel at a speed of 3.0 x 108 m/s. A radio station transmits waves
with a wavelength of 2.5 x 102 m.
Calculate the frequency of the radio waves.
Answer:
1.2×10⁶ Hz
Explanation:
Applying,
v = λf............. Equation 1
Where v = speed of wave, λ = wavelength, f = frequency.
make f the subject of the equation
f = v/λ............... Equation 2
From the question,
Given: v = 3.0×10⁸ m/s, λ = 2.5×10² m
Substitute these values into equation 2
f = 3.0×10⁸/2.5×10²
f = 1.2×10⁶ Hz
In order for an object to have a perfectly circular orbit, what one thing must occur?
An object must have the exact mass to orbit in a circle.
An object must have the exact speed to achieve the circular orbit.
An object must have enough speed to create escape velocity.
In order for an object to have a perfectly circular orbit, an object must have the exact speed to achieve the circular orbit.
What is a circular orbit?A circular orbit is a circular path which an object continuously follow in the course of its movement.
The earth and planets have a circular orbit around the sun.
The circular orbit is maintained by a balance between centripetal and centrifugal forces.
Therefore, in order for an object to have a perfectly circular orbit, an object must have the exact speed to achieve the circular orbit.
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consider the interference pattern produced by two parallel slits of width a and separation d, in which d
The interference pattern produced by two parallel slits of width a and separation d is a result of the wave nature of light. When light passes through the slits, it diffracts and forms multiple secondary wavelets. These wavelets interfere with each other, leading to the observed pattern.
The interference pattern consists of a series of bright and dark fringes. The bright fringes, called maxima, occur when the waves from the two slits are in phase and constructively interfere. The dark fringes, called minima, occur when the waves are out of phase and destructively interfere.
The separation between the fringes is given by the formula:
Δy = λL / d
where Δy is the distance between adjacent fringes, λ is the wavelength of light, L is the distance between the screen and the slits, and d is the separation between the slits.
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two ball of mass 4kg and 2kg move towards each other with a velocity of 4ms-1 and -2ms-1 respectively .if after collision they stick together and move with 2ms-1,what is the loss of ke,what is the nature of collision
The loss of kinetic energy is -24 J and the nature of the collision is inelastic elastic collision.
Initial kinetic energy of the balls
The initial kinetic energy of the balls is calculated as follows;
K.Ei = ¹/₂mvi²
where;
m is mass of the ballsvi is the speed of the balls before collisionK.Ei = ¹/₂(4)(4²) + ¹/₂(2)(2²)
K.Ei = 36 J
Final kinetic energy of the ballsK.Ef = ¹/₂mvf²
where;
vf is the final speed of the balls after collisionK.Ef = (0.5)(4 + 2)(2)²
K.Ef = 12 J
Change in kinetic energy of the ballsΔK.E = K.Ef - K.Ei
ΔK.E = 12 J - 36 J
ΔK.E = -24 J
Thus, the loss of kinetic energy is -24 J and the nature of the collision is inelastic elastic collision.
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A circus performer swings down from a platform on a rope tied to the top of a tent in a pendulum-like swing. The performer's feet tough the ground 9 meters below where the rope is tied. how fast is the performer moving at the bottom of the arc?
First solve for time to fall using: = √2 ∶ 2(9) = 1.35. Then solve for velocity √9.8
2
2
using: = ∶ 9.8 2 ∗ 1.35 =13.23 m/s The performer’s velocity is 13.2 m/s
at the bottom of the swing.
Explanation:
A notation that shows which elements, and how many of each type a compound contains is a(an)
______________.
a. Chemical formula c. Molecule
b. Anion d. Polar Covalent Bond
Answer:
a. Chemical formula
Explanation:
A notation that shows which elements, and how many of each type a compound contains is a chemical formula.
Basically, a chemical formula helps scientists to show or illustrate the type and number of atoms present in a particular molecule or compound by using numerical subscript, ions and atomic symbol of a chemical element.
This ultimately implies that, a chemical formula is used to describe or denote the exact amount of atoms that make up a molecule or compound.
Some examples of a chemical formula are;
Water = \(H_{2}O\)
Sodium Hydroxide = \(NaOH\)
Hydrochloric acid = \(HCl\)
Carbon II oxide = \(CO_{2}\)
which one of the following statements about quasars is true? group of answer choices quasars appear blue because they are highly blueshifted. the spectrum of a quasar appears to be so unusual because it is composed of exotic molecules. quasars are most likely powered by supermassive stars undergoing nuclear reactions at an unusually fast rate. quasars probably fade with time, and most have now evolved into relatively normal galaxies. quasars are powered by particle-antiparticle annihilation, which has an energy conversion efficiency of 100%.
The true statement among the given options about quasars is: quasars probably fade with time, and most have now evolved into relatively normal galaxies.
Quasars are a very distant and luminous object that consists of a massive black hole that feeds on gas and dust in the center of a galaxy. It emits huge amounts of energy and radiation and is one of the most powerful objects in the universe.Quasars have several spectral features, and their light can be analyzed by a spectroscope. The spectrum of a quasar appears to be so unusual because it is composed of unusual gas features. Since the light is shifted towards the blue end of the spectrum, quasars seem to appear blue in color.
This is due to their high blueshift.Quasars are not powered by particle-antiparticle annihilation, which has an energy conversion efficiency of 100%. They are not powered by supermassive stars undergoing nuclear reactions at an unusually fast rate, which is another incorrect statement. Quasars can, however, evolve over time and fade away. They are transformed into relatively ordinary galaxies.
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Name the two poles of a magnet
What is meant by magnetism?
A conveyer belt carries a load of mass 180kg n lift it up in 1
Answer:
Cool.
Explanation:
What's the question..? :|
An airplane from rest accelerates on a runway at 7.25 m/s² for 35 seconds until it finally takes off the ground. Solve the distance covered by the airplane.
G:
R:
E:
S:
A:
2.How long will it take for a car to travel from 37 m/s to 60 m/s that accelerates at 3.68m / s²
G:
R:
E:
S:
A::
It will take the car 6.25 seconds to travel from 37 m/s to 60 m/s with an acceleration of 3.68 m/s².
For the first question, we can use the equation:
distance = 0.5 x acceleration x time^2
We know the acceleration (7.25 m/s²) and the time (35 seconds), so we can plug those in:
distance = 0.5 x 7.25 m/s² x (35 s)^2
distance = 0.5 x 7.25 m/s² x 1225 s²
distance = 4448.125 meters
Therefore, the airplane covered a distance of 4448.125 meters before taking off the ground.
For the second question, we can use the equation:
final velocity = initial velocity + acceleration x time
We know the initial velocity (37 m/s), the final velocity (60 m/s), and the acceleration (3.68 m/s²), so we can rearrange the equation to solve for time:
time = (final velocity - initial velocity) / acceleration
time = (60 m/s - 37 m/s) / 3.68 m/s²
time = 6.25 seconds
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refers to the strengthening of dominant responses in the presence of others
The phenomenon you are referring to is called social facilitation. It refers to the tendency for an individual to perform better on simple or well-learned tasks in the presence of others.
This occurs because the presence of others creates a sense of arousal or motivation, which amplifies the dominant response. The dominant response is the most likely response given a particular stimulus or situation. For example, if an individual is skilled at playing the piano, they are likely to perform better when playing in front of an audience. This is because the audience creates a sense of arousal, which amplifies the dominant response of playing the piano well. of This is because the audience creates a sense of arousal, which amplifies the dominant response of playing the piano poorly. In summary, social facilitation is the phenomenon of strengthening dominant responses in the presence of others. The presence of others creates a sense of arousal, which amplifies the dominant response. This phenomenon has been observed in a variety of settings, including sports, academic performance, and social interactions.
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ferromagnetic materials can be magnetized more easily than other materials because their magnetic domains can be generally aligned.
Ferromagnetic materials can be magnetized more easily than other materials due to their ability to have their magnetic domains aligned. This property allows for a stronger and more pronounced magnetic effect compared to non-ferromagnetic materials.
Ferromagnetic materials, such as iron, nickel, and cobalt, have a unique property called ferromagnetism, which allows them to exhibit strong magnetic behavior. One of the key factors contributing to this property is the presence of magnetic domains within the material. Magnetic domains are regions within the material where the magnetic moments of individual atoms align in the same direction.
In the absence of an external magnetic field, the magnetic domains in ferromagnetic materials are randomly oriented, resulting in a net magnetic field of zero. However, when an external magnetic field is
applied, the domains can align in the direction of the field, resulting in a magnetized state.
What sets ferromagnetic materials apart from other materials is their ability to have their magnetic domains easily aligned. This means that the material can be magnetized more easily and exhibit a stronger magnetic effect. Once the external magnetic field is removed, the ferromagnetic material retains some degree of magnetization due to the aligned domains.
This characteristic of ferromagnetic materials makes them highly useful in various applications, including electromagnets, transformers, and magnetic storage devices.
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what does newtons third law represent
His third law dictates that in disposition, for every action (force), there is an equal and opposing reaction.
What is Newton's laws of motion?Newton's laws of motion are three fundamental classical mechanics laws that describe the relationship between an object's motion and the forces acting on it.
These laws are summarized as follows: Unless acted upon by a force, a body remains at rest or in motion at a constant speed in a straight line.
His third law states that in nature, for every action (force), there is an equal and opposite reaction.
When object A applies a force to object B, object B applies an equal and opposite force to object A. In other words, forces are the result of interactions.
Thus, this is the third law of motion by Newton.
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A ball is being pushed with a force of 50 N. If the ball has a mass of 0.5 kg, what will the acceleration be?
Important Formulas:
\(F=ma\)
force(measured in newtons) = mass(measured in kg) * acceleration(measured in m/s^2)
__________________________________________________________
Given:
\(F=50N\)
\(m=0.5kg\)
\(a=?\)
__________________________________________________________
In order to find acceleration, we will need to rearrange the force formula to make acceleration the subject.
\(F=ma\)
\(\dfrac{F}{m} =\dfrac{ma}{m}\)
\(a=\dfrac{F}{m}\)
__________________________________________________________
Finding acceleration:
\(a=\dfrac{F}{m}\)
\(a=\dfrac{50}{0.5}\)
__________________________________________________________
\(\fbox{a = 100 m/s squared}\)
which would be a better predictor of increase in force of contraction, change in semg amplitude of spikes or change in semg frequency of spikes?
The better predictor of increase in force of contraction, change in semg amplitude of spikes.
What is force?A force in physics is an effect that has the power to alter an object's motion. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.
Given that in the question the better predictor of increase in force of contraction, change in semg amplitude of spikes or change in semg frequency of spikes.
The better predictor of increase in force of contraction, change in semg amplitude of spikes.
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Using what you know about temperatures affecting the pressure of gas, how might a
basketball be affected if it is kept inside a gymnasium at 75 degrees Fahrenheit versus on an
outside court where the temperature is 25 degrees Fahrenheit? Describe the changes in gas
pressure.
Answer:
It change because its and cold
The soprano's singing caused a drinking glass to shatter.
Explain why this happened using what you know about
resonance.
Answer:
The soprano's singing matched the natural frequency of the glass, causing it to vibrate. The strong vibrations caused the glass to shatter.
Explanation:
edg 2020
A 1,500kg boulder falls off a 120m tall cliff on a planet that has a surface gravitational field of magnitude 3.6 N/kg. Assume that the planet has no atmosphere.
How long does it take for the boulder to strike the ground?
Write your answer using two significant figures.
It takes the boulder approximately 10.4 seconds to strike the ground.
To solve for the time it takes for the boulder to strike the ground, we can use the kinematic equation:
d = vi*t + (1/2)at^2
where d is the distance traveled (which is equal to the height of the cliff, 120m), vi is the initial velocity (which is 0 m/s since the boulder was dropped from rest), a is the acceleration due to gravity (which is the surface gravitational field of the planet, 3.6 N/kg), and t is the time it takes for the boulder to fall.
Rearranging the equation to solve for t, we get:
t = sqrt((2*d)/a)
Plugging in the values we have, we get:
t = sqrt((2*120)/3.6) = 10.4 s
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help needed fast, I'm not good at physics, look at picture below ( I posted another page aswell, take a look on my profile) part #2
Answer:
I’d say the air outside the hemisphere is more free than from the inside of the hemisphere.
Explanation:
hope this help!
A 72 kg man stands on a bathroom scale inside an elevator.
a. The elevator accelerates upward from rest at a rate of 1.30 m/s2 for 1.50 s. What does the scale read during the 1.50 s interval?
b. The elevator continues upward at constant velocity for 8.50 s. What does the scale read now?
c.While still moving upward, the elevator's speed decreases at a rate of 0.500 m/s2 for 3.00 s. What is the scale reading during the time?
a. During the upward acceleration, the net force acting on the man is the force due to gravity (weight) plus the force exerted by the elevator (normal force), which can be expressed as:
Fnet = ma
Fnet = (72 kg)(1.30 m/s^2) = 93.6 N
The normal force exerted by the scale is equal in magnitude to the force due to gravity, so:
Fnormal = mg
Fnormal = (72 kg)(9.81 m/s^2) = 706.32 N
The scale reading is the magnitude of the normal force, which is:
scale reading = Fnormal = 706.32 N
b. During the constant velocity motion, the elevator is not accelerating, so the net force acting on the man is zero. Therefore, the normal force exerted by the scale is equal in magnitude to the force due to gravity:
Fnormal = mg
Fnormal = (72 kg)(9.81 m/s^2) = 706.32 N
The scale reading is the magnitude of the normal force, which is:
scale reading = Fnormal = 706.32 N
c. During the upward deceleration, the net force acting on the man is the force due to gravity (weight) minus the force exerted by the elevator (normal force), which can be expressed as:
Fnet = ma
Fnet = (72 kg)(-0.500 m/s^2) = -36 N
The normal force exerted by the scale is now less than the force due to gravity, so:
Fnormal = mg - Fnet
Fnormal = (72 kg)(9.81 m/s^2) - (-36 N)
Fnormal = 760.32 N
The scale reading is the magnitude of the normal force, which is:
scale reading = Fnormal = 760.32 N
Learn more about Newton's law of motion here: https://brainly.com/question/29775827
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