Maximum torque developed is (BIL²/4\(\pi\)n).
Torque is a measure of force that can cause an object to rotate about an axis.
A force causes an object to accelerate in linear kinematics. Similarly, torque causes angular acceleration. Torque can therefore be defined as the rotational equivalent of a linear force. The line about which the object rotates is called the axis of rotation. In physics, torque is simply the tendency of a force to rotate or twist.For any structure such as a solenoid, toroid, and circular arc, the magnetic field at a certain point of the structure is always proportional to the number of turns of the coil.
As we know magnetic field is (BIL²/4\(\pi\)n)
2\(\pi\)rn = L
r = (L/2\(\pi\)n)
A = \(\pi\)r²
A = (L²/4\(\pi\)n²)
M = niA
M = (iL²/4n\(\pi\))
Then Torque is Z = MBSin90°
The question is incomplete, the complete question is "a wire of length l is wrapped into a coil with n turns this coil is then placed in a magnetic field of strength b, the maximum possible torque developed is?"
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A wave with a frequency of 12 Hz has a wavelength of 3 meters. At what speed will this wave travel?
Explanation:
speed = wavelength * frequency
= 3 m * 12 /s = 36 m/s
While the block hovers in place, is the density of the block (top left) or the density of the liquid (bottom center) greater?
Answer:
for the body to float, the density of the body must be less than or equal to the density of the liquid.
Explanation:
For a block to float in a liquid, the thrust of the liquid must be greater than or equal to the weight of the block.
Weight is
W = mg
let's use the concept of density
ρ_body = m / V
m = ρ_body V
W = ρ_body V g
The thrust of the body is given by Archimedes' law
B = ρ_liquid g V_liquid
as the body floats the submerged volume of the liquid is less than or equal to the volume of the block
ρ_body V g = ρ_liquid g V_liquid
ρ_body = ρ liquid Vliquido / V_body
As we can see, for the body to float, the density of the body must be less than or equal to the density of the liquid.
What is the best flowers
Answer:
What are the best flowers? (My opinion)
Water liliesWhite rosesHydrangeaExplanation:
You're welcome.
Answer:
Tulips,
Lilies,
Lotuses on my opinion...
Which force does the shuttle overcome to create an unbalanced net force as it initially lifts from the ground?
Air resistance
Friction
Gravity
Thrust of rocket engine
Hello!
The answer is Gravity. Lets take a look at the options:
A. Nope, this would be if the shuttle was going horizontal.
B. Again, this would be if the shuttle was going horizontal.
C. Yes! This is the only force that is being overcome by using the rocket thrusts to move up.
D. No, the shuttle is using its thrust rocks to push against gravity.
I hope this helps! :)
A box of mass 210 kg is pulled from rest with a string of tension 1300n inclined at 35° to the horizontal. if the box moved with a speed of 10m/s and frictional force between the box and surface is 100 n, calculate the distance covered.
If A box of mass 210 kg is pulled from rest with a string of tension 1300n inclined at 35° to the horizontal. if the box moved with a speed of 10m/s and the frictional force between the box and surface is 100 n, Then the distance covered by the box is 10.89 meters.
To calculate the distance covered by the box, we need to analyze the forces acting on it and apply the work-energy principle.
Given:
Mass of the box, m = 210 kg
Tension in the string, T = 1300 N
The angle of inclination, θ = 35°
Frictional force, f = 100 N
Initial speed, u = 0 m/s
Final speed, v = 10 m/s
First, let's resolve the tension force into components parallel and perpendicular to the incline. The parallel component of the tension force can be calculated as:
T_parallel = T * cos(θ)
Next, let's calculate the net force acting on the box along the incline. The net force is given by:
Net force = T_parallel - f
Now, using Newton's second law, we can calculate the acceleration (a) of the box:
Net force = m * a
From the given information, we have the final velocity (v), initial velocity (u), and acceleration (a). We can use the following kinematic equation to calculate the distance covered (s):
v^2 = u^2 + 2as
Rearranging the equation, we get:
s = (v^2 - u^2) / (2a)
Now, let's plug in the given values and calculate the distance covered:
T_parallel = 1300 N * cos(35°) ≈ 1067.35 N
Net force = 1067.35 N - 100 N = 967.35 N
a = (967.35 N) / (210 kg) ≈ 4.61 m/s^2
s = (10 m/s)^2 - (0 m/s)^2 / (2 * 4.61 m/s^2) ≈ 10.89 m
Therefore, the distance covered by the box is approximately 10.89 meters.
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WHAT IS THE MEAING OF- Grouping Data
Grouping data refers to the process of categorizing or organizing data based on specific criteria or attributes.
It involves grouping similar data points together to gain a better understanding of patterns, relationships, and trends within the dataset. By grouping data, you can simplify complex information and derive meaningful insights from large amounts of data. The purpose of grouping data is to create subsets or clusters that share common characteristics.
This enables easier analysis, summarization, and comparison of data within each group. Grouping can be performed on various types of data, such as numerical, categorical, or time-based data. Grouping data allows for the exploration of data at different levels of granularity.
For example, you can group sales data by region to analyze regional performance, or group customer data by demographics to identify specific customer segments. This process helps in identifying outliers, detecting patterns, and making data-driven decisions.
Common techniques for grouping data include using functions like GROUP BY in SQL or utilizing data visualization tools to create charts or graphs that illustrate the grouped data. Grouping can be applied in various fields, such as marketing, finance, healthcare, and research, to uncover insights and support decision-making processes.
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A copper wire is 1.0 meters long and it's diameter is 1.0 millimeters if the wire hangs vertically how much weight must be added to its free end in order to stretch it 3.0 millimeters?
Answer:
The weight required to stretch a wire can be calculated using the formula:
W = (π/4) x d^2 x L x S
where:
d = diameter of the wire
L = length of the wire
S = stress applied to the wire
π = pi (3.14)
In this case, the wire has a diameter of 1.0 millimeters and a length of 1.0 meters. We want to stretch it by 3.0 millimeters, which means the stress applied to the wire is:
S = ΔL / L = 3.0 / 1000 = 0.003
Now we can plug in the values and calculate the weight required:
W = (π/4) x (1.0)^2 x 1.0 x 0.003
W = 0.0002355 kg or 0.2355 grams
Therefore, we need to add 0.2355 grams of weight to the free end of the wire to stretch it by 3.0 millimeters.
The phase velocity of transverse waves in a crystal of atomic separation a is given byy = csin(ka/2) pka/2 1. What is the dispersion relation e(k)? 2. What is the group velocity as a function of k?
Answer:
a
e(k) = \frac{2a}{c} * sin (\frac{k*a}{2} )
b
G_{v} = \frac{d e(k ) }{dk } = \frac{a^2}{c} * cos (\frac{k* a}{2} )
Explanation:
From the question we are told that
The velocity of transverse waves in a crystal of atomic separation is
\(b_y = c \frac{sin (\frac{k*a}{2} )}{\frac{k*a}{2} }\)
Generally the dispersion relation is mathematically represented as
\(e(k) = b_y * k\)
=> \(e(k) = c \frac{sin(\frac{k*a}{2} ) }{ \frac{k*a}{2} } * k\)
=> \(e(k) = c * \frac{sin (\frac{k_a}{2} )}{ \frac{a}{2} }\)
=> \(e(k) = \frac{2a}{c} * sin (\frac{k*a}{2} )\)
Generally the group velocity is mathematically represented as
\(G_{v} = \frac{d e(k ) }{dk } = \frac{a^2}{c} * cos (\frac{k* a}{2} ) \)
A turntable must spin at 33.3 rev/min (3.49 rad/s) to play an old fashion vinyl record . How much torque must the motor deliver if the turntable is to reach its angular speed in 2.20 revolutions starting from rest ? The turntable is an uniform disk of diameter 30.5 cm and mass 0.240kg
Answer……. N-m
0.002355 N-m torque must the motor deliver if the turntable is to reach its angular speed in 2.20 revolutions starting from rest
What is torque and how is it related to rotational motion?Torque is a measure of the twisting force that causes rotational motion. It is calculated by multiplying the force applied to an object by the distance from the axis of rotation at which the force is applied.
Given:
Angular speed, ω = 3.49 rad/s
Number of revolutions, N = 2.20 rev
Diameter of disk, D = 30.5 cm = 0.305 m
Mass of disk, m = 0.240 kg
The moment of inertia of a uniform disk about its center is (1/2) * m * r^2, where r is the radius of the disk. Here, r = D/2 = 0.1525 m.
Moment of inertia, I = (1/2) * m * r^2 = (1/2) * 0.240 kg * (0.1525 m)^2 = 0.002198 J-s^2/rad
The torque required to bring the disk to its angular speed can be found using the formula:
τ = I * α
where α is the angular acceleration of the disk. Since the disk starts from rest, we have:
α = ω^2 / (2 * π * N)
where π is the constant pi. Substituting the given values, we get:
α = (3.49 rad/s)^2 / (2 * π * 2.20 rev) = 1.071 rad/s^2
Therefore, the torque required is:
τ = I * α = 0.002198 J-s^2/rad * 1.071 rad/s^2 = 0.002355 N-m
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Your car rolls slowly in a parking lot and bangs into the metal base of a light pole. In terms of safety, is it better for your collision with the light pole to be elastic, inelastic, or is the safety risk the same for either case? Explain.
Answer:
AN ELASTIC COLLISION IS SAFER
Explanation:
IT'S BECAUSE THE MOVEMENT IS PRESERVED. YEN AN ELASTIC
COLLISION, THE ELASTIC BODY ABSORBS SOME OF THE MOVEMENT.
THIS CAUSES THE CAR TO SLOW DOWN MORE SLOWLY THAN IN AN
INELASTIC COLLISION WHERE IT DECELERATES FASTER.
ANYWAY I LEAVE YOU THE LINK
(THEY ALREADY DELETED THE ENGLISH SITE, BUT YOU CAN USE
TRANSLATOR):
https://gscourses.thinkific.com
People cannot see certain types of light waves because:
ONeither choice is correct.
Othey are longer than 700 nanometers shorter than 400 n
O the eye rejects various types of light rays.
Answer:
Light comes in different colors like radio, ultra violet, gamma-ray, etc, and they are invisible to the bare eye
Explanation:
A toy car is given an initial velocity of 5.0 m/s and experiences a constant
acceleration of 2.0 m/s/s. What is the final velocity after 6.0 s?
The final velocity after 6.0 s is
1304.2 .
What is velocity?
velocityis the most fundamental quantity of physics . Work is said to be done when a force applied to an object cause a displacement of a object.
Solution -
As per the given-
Mass of runner m = 74kg
initial velocity of runner u=4.8 m/s
final velocity of runner v =0
Coefficient of friction ¥=0.7
Let's d be the distance moved by runner till the stop.
a- mechanical energy lost due to friction
As friction does negetive work causing the runner to stop.
As we know,
Mechanical energy lost= Kinetic energy of runner
Mechanical energy lost =
1/2 mv^2 = 1/2 ×74×4.8^2=852.2
Distance move by runner-
Work done by friction = mechanical energy lost
-¥×mg×d =852.2 j
-0.7×74×9.8×d = -491.2
Solving the equation we get
1304.2.
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The product of an object's mass and velocity is it's
A) acceleration
B) inertia
C) momentum
D) weight
Answer:
C) Momentum
Explanation:
Refers to an objects mass in motion.
Need help Physics Will make Brainliest
The net force on particle q₂ is 1.05 x 10¹³ N, directed towards particle q1.
To find the net force on particle q₂, we need to calculate the force between q₁ and q₂, and the force between q₂ and q₃, and then add these two forces together.
The force between two point charges can be calculated using Coulomb's law, which states that
F = k × q₁× q₂ / r²
where F is the force, k is Coulomb's constant (9.0 x 10⁹ N m² / C²), q₁ and q₂ are the magnitudes of the charges, and r is the distance between the charges.
The force between q₁ and q₂ is
F₁ = k × q₁ × q₂ / r₁²
where r₁ = 0.10 m.
Substituting the values, we get
F₁ = 9.0 x 10⁹ N m² / C² × 8.0 C × 3.5 C / (0.10 m)² = 2.52 x 10¹³ N
The force between q₂ and q₃ is
F₂ = k × q₂ × q₃ / r₂²
where r₂ = 0.15 m.
Substituting the values, we get
F₂ = 9.0 x 10⁹ N m² / C² × 3.5 C × (-3.5 C) / (0.15 m)² = -1.47 x 10¹³ N
Note that the negative sign indicates that the force is attractive, since q₂ and q₃ have opposite signs.
The net force on q₂ is the vector sum of F₁ and F₂
\(F_{net}\) = F₁ + F₂ = 2.52 x 10¹³ N - 1.47 x 10¹³ N = 1.05 x 10³ N
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Find the frequency and wavelength of the wave below, assuming it has a speed of 30 m/s
3) You observe a deep water (water depth> wave base) wave with a wavelength of 15 m and period of 3 seconds. What is the frequency and celerity of the wave?
Frequency:
Celerity:
4) what happens to wavelength as celerity increases? (see part 3)
The frequency of the wave is 0.33 Hz.
The celerity of the wave is wave is 4.95 m/s.
As the celerity of the wave increases, the wavelength increases.
What is the frequency of the wave?
The frequency of the wave is calculated by applying the following formula.
v = fλ
where;
f is the frequency of the waveλ is the wavelength of the wavef = 1 / T
f = 1 / 3 s
f = 0.33 Hz
The celerity of the wave is wave is calculated as follows;
v = fλ
v = ( 0.33 Hz ) x ( 15 m )
v = 4.95 m/s
λ = v / f
Thus, from the above equation as the celerity of the wave increases, the wavelength increases.
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Two atoms of the same element only differ because one of the atoms has more electrons, making it an ion. Which statement is true? They have the same A-number and the same Z-number. They have the same A-number but different Z-number. They have a different A-number but the same Z-number. They have different A-numbers and different Z-numbers.
The correct answer is Option B. The statement "they have the same A-number but different Z-number" is true .
Atoms of the same element only differ because one of the atoms has more electrons, making it an ion.
This difference does not affect the mass of the atom, which is determined by the sum of its protons and neutrons, represented by the atomic mass or A-number.
The number of protons in an atom is called the atomic number or Z-number.
The Z-number of an element is unique to it. All the atoms of a given element have the same number of protons.
Thus, for example, all carbon atoms have six protons, making the Z-number of carbon 6.
However, different isotopes of an element can have different numbers of neutrons.
This means that they have a different atomic mass or A-number.
Therefore, they have the same A-number but different Z-number.
Therefore the correct Option is B.
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A grade 12 Physics student shoots a basketball
from the ground at a hoop which is 2.0 m above
her release. The shot was at a velocity of 10 m/s
and at an angle of 80° to the ground.
a. Determine the vertical velocity of the ball
when it is at the level of the net. You
should get two answers.
Please show ALL steps
Answer:
7.84 m/s
Explanation:
Height, h = 2 m
Initial velocity, u = 10 m/s
Angle, A = 80°
(a) Let the time taken to go to the net is t.
Use second equation of motion
\(h = u t + 0.5 at^2\\\\- 2 = - 10 sin 80 t - 4.9 t^2\\\\4.9 t^2 + 9.8 t - 2 = 0 \\\\t= \frac{- 9.8\pm\sqrt{9.8^2 + 4\times 4.9\times 2}}{9.8}\\\\t = \frac{- 9.8 \pm 11.6}{9.8}\\\\t = - 2.2 s , 0.2 s\)
Time cannot be negative.
So, t = 0.2 s
The vertical velocity at t = 0.2 s is
v = u + at
v = 10 sin 80 - 9.8 x0.2
v = 9.8 - 1.96 = 7.84 m/s
A wave has an amplitude of 0.0800 m
and is moving 7.33 m/s. One oscillator
in the wave takes 0.230 s to go from
one crest to the next crest. Find the
wavelength of the wave.
(Unit = m)
If a wave has an amplitude of 0.0800 m and is moving 7.33 m/s. The
wavelength of the wave is 1.69m.
What is the wavelength?The wavelength of a wave can be determined using the equation:
Wavelength = velocity / frequency
To determine the frequency we need to calculate the reciprocal of the time it takes for one complete oscillation.
frequency = 1 / time
frequency = 1 / 0.230
frequency ≈ 4.35 Hz
Substitute the values into the wavelength equation:
wavelength = velocity / frequency
wavelength = 7.33 / 4.35
wavelength ≈ 1.69m
Therefore the wavelength of the wave is approximately 1.69 meters.
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A 20.0 newton force is used to push a 2.00 kilogram cart a distance of 5.00 meters how much work is done on the cart
Answer:
100
w=f*s
20*5=100....
100 Joules of work is done on the cart.
What is Work done?Work done by a force is defined as the product of the displacement and the component of the applied force on the object in the direction of displacement. When we push a block with some force, the body moves with some acceleration, so it is called work done.
Work done is expressed as W=Fd and its unit is joules which can be defined as the amount of work done by a force in Newton is applied to an object, as a result of which it is displaced in meter.
For above given information,
Force= 20 N
Distance= 5 m
So, work done= 20*5= 100 Joules
Thus, 100 Joules of work is done on the cart.
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write the answer:
physics ... i need help
Answer:
6 gallons
Explanation:
At 30 mph, the fuel mileage is 25 mpg.
After 5 hours, the distance traveled is:
30 mi/hr × 5 hr = 150 mi
The amount of gas used is:
150 mi × (1 gal / 25 mi) = 6 gal
A truck is traveling at an initial velocity
of +39m/s and it starts slowing down smoothly for 3.3s. It covers a distance of 45m while slowing down. What is the acceleration?
Answer:
Approximately \(-15.37m/s^2\)
Explanation:
The acceleration can be found using the formula:
\(x_{f} = x_{i} + v_{i} (t)+\frac{1}{2} (a)(t^{2} )\)
The work is as shown:
\(45m = 0 + 39 m/s (3.3s)+\frac{1}{2} a(3.3s)^2\)
\(45m=128.7m + 5.445s^2 a\)
\(-83.7m=5.445s^2a\)
\(a = -15.37190083m/s^2\)
a is about -15.37\(m/s^2\)
For an adiabatic process, the change in T is determined by the change in V. In this problem you will compute the contributions to S from the V and T terms separately, then add them up to find the total entropy change for an adiabatic process. Argon gas, initially at pressure 100 kPa and temperature 300 K, is allowed to expand adiabatically from 0.01 m3 to 0.026 m3 while doing work on a piston.
This question is incomplete, the complete question is;
The entropy of an ?-ideal gas changes in the following way as a function of temperature and volume:
ΔS = nRln(V\(_f\)/V\(_i\)) + ∝nRln(T\(_f\)/T\(_i\))
For an adiabatic process, the change in T is determined by the change in V. In this problem you will compute the contributions to S from the V and T terms separately, then add them up to find the total entropy change for an adiabatic process.
Argon gas, initially at pressure 100 kPa and temperature 300 K, is allowed to expand adiabatically from 0.01 m³ to 0.026 m³ while doing work on a piston.
1) What is the change in entropy due to the volume change alone, ignoring any effects of changing internal energy? ΔS = ? J/K
2) For this adiabatic expansion, what is the final temperature? T\(_f\) = ? K
Answer:
1) the change in entropy due to the volume change alone, ignoring any effects of changing internal energy is 3.185 J/K.
2) the final temperature is 158.66 K
Explanation:
Given the data in the question;
ΔS = nRln(V\(_f\)/V\(_i\)) + ∝nRln(T\(_f\)/T\(_i\))
P\(_i\) = 100 kPa = 100000 Pa
V\(_i\) = 0.01 m³
V\(_f\) = 0.026 m³
T\(_i\) = 300 K
1) the change in entropy due to the volume change alone
from the question; ΔS = nRln(V\(_f\)/V\(_i\)) + ∝nRln(T\(_f\)/T\(_i\))
so change in entropy due to the volume change alone is;
ΔS = nRln(V\(_f\)/V\(_i\))
we know that, from ideal gas law; PV = nRT
so, nR = P\(_i\)V\(_i\)/T\(_i\) ---- let this be equation 1
∴ ΔS = P\(_i\)V\(_i\)/T\(_i\) × ln(V\(_f\)/V\(_i\))
we substitute
ΔS = [( 100000 Pa × 0.01 m³) / 300 K ] × ln(0.026m³ / 0.01m³ )
ΔS = 3.185 J/K
Therefore, the change in entropy due to the volume change alone, ignoring any effects of changing internal energy is 3.185 J/K.
2) Final temperature
we know that, in an adiabatic expansion;
\(PV^Y\) = K
where Y = 5/3
so
\(P_i\)\(V_i^{(5/3)\) = \(P_f\)\(V_f^{(5/3)\)
\(P_f\) = \(P_i\)\(( \frac{V_i}{V_f})^{(5/3)\)
we substitute
\(P_f\) = ( 100000 Pa) \(( \frac{0.01 m^3}{0.026 m^3})^{(5/3)\)
\(P_f\) = 20341.255 Pa
Also from ideal gas law;
PV = nRT
T = PV / nR
so
T\(_f\) = P\(_f\)V\(_f\) / nR
but from equation 1; nR = PV/T
so
T\(_f\) = (P\(_f\)V\(_f\)) / (P\(_i\)V\(_i\)/T\(_i\) )
T\(_f\) = ( P\(_f\)V\(_f\)T\(_i\) / P\(_i\)V\(_i\) )
we substitute
T\(_f\) = ( 20341.255 Pa × 0.026 m³ × 300 K) / 100000 Pa × 0.01 m³ )
T\(_f\) = 158.66 K
Therefore, the final temperature is 158.66 K
The graph shows the velocity
of a T-Rex as a function
of time. The velocity
of the T-Rex between 2 and 4
seconds shown is
about...
The correct option is C, the velocity between 2s and 4s is 7 meters per second.
What is the velocity of the T-Rex between 2 and 4 seconds?Here we have the graph of the velocity of a T-Rex as function of time in seconds.
Here we need to find the average value between 2 seconds and 4 seconds.
At 2 seconds, the graph says that the velocity is 7m/s
And we can see an horizontal line that ends at 4s, so the veloicty at 4 seconds is 7m/s
Then the average velocity in that interval is that one (because it is constant)
Then the correct option is C.
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Observe the picture of the various components and processes that contribute to the activation energy required to light a match
Which of the statements about these components and processes are true? Select all that apply.
Breaking the adhesion between the match head and the striking surface causes particle vibration.
The thermal energy of the vibrating particles on the head of the match is transferred from hot regions to cool regions.
The energy of vibration provides the activation energy required to light the match.
The thermal energy of the vibrating particles on the head of the match is transferred from cool regions to hot regions.
As the match head moves across the striking surface, its particles repel the surface.
The repulsive forces between the match head and the striking surface cause particle vibration.
As the match head moves across the striking surface, its particles adhere to the surface for a short period of time.
The activation energy required to light a match is obtained by the chemical energy transferred into the thermal energy. When the match stick and head are rubbed together, the friction force is developed and hence, lightning occurs.
Activation energy is the minimum amount of energy available for the chemical reaction to occur. It involves the Breaking of adhesion between the match head and the striking surface causing the particle to vibrate.
The energy of vibration provides the activation energy required to light the match. The thermal energy of the vibrating particles on the head of the match is transferred from cool to hot regions.
As the head moves across the striking surface, its particles adhere to the surface for a short period of time and produce heat and light energy.
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A tennis ball was thrown straight up with initial velocity of 22.5 m/s. How high does the ball rise
taking into consideration that upward acceleration due to gravity is -9.81m/s ?
Answer:
\(h_m=25.8\ m\)
Explanation:
Vertical Launch Upwards
In a vertical launch upwards, an object is launched vertically up without taking into consideration friction with the air.
If vo is the initial speed and g is the acceleration of gravity, the maximum height reached by the object is given by:
\(\displaystyle h_m=\frac{v_o^2}{2g}\)
The tennis ball was thrown straight up with a speed of v0=22.5 m/s. The acceleration of gravity is g=9.81\ m/s^2, thus:
\(\displaystyle h_m=\frac{22.5^2}{2\cdot 9.81}\)
\(\mathbf{h_m=25.8\ m}\)
Answer:
4.6 s
Explanation:
What is the period of a mass-spring system with the following characteristics?
the period of a mass-spring system with the characteristics can be calculated using the formula T = 2π√(m/k), where m is the mass of the object and k is the spring constant. the period of the mass-spring system with the given characteristics is approximately 3.14 seconds.
A mass-spring system has the following characteristics: A spring that is initially stretched or compressed has an oscillatory motion around its equilibrium position. This is referred to as a mass-spring system.The period of the mass-spring system is the time it takes for one complete cycle, including compression and extension. The period is given by the equation
`T = 2π * √(m/k)`,
where T is the period, m is the mass attached to the spring, and k is the spring constant. Let's consider an example to better understand this formula: Suppose a mass of 5 kg is attached to a spring with a spring constant of 20 N/m. What is the period of the system?
T = 2π * √(m/k) = 2π * √(5/20) = 2π * √(1/4) = 2π * (1/2) = π ≈ 3.14s
Therefore, the period of the mass-spring system with the given characteristics is approximately 3.14 seconds.
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What does the first law of thermodynamics state about energy?
The first law states that the internal energy change of that system is given by Q − W . Since added heat increases the internal energy of a system, Q is positive when added to the system and negative when removed from the system.
An invading barbarian whirls a stone in a leather sling. If the sling is 90 cm
long, and the velocity of the stone is 90 m/s, what is the centripetal
acceleration of the stone?
Answer:
56,643.36m/s²Explanation:
Centripetal acceleration is expressed as shown:
a = v²/r
v is the velocity
r is the radius
If the length of the sling is 90cm, hence the circumference of the circular path is 90cm
Since C = 2πr
0.9 = 2πr
r = 0.9/2π
r = 0.9/2(3.14)
r = 0.9/6.28
r = 0.143m
Get the centripetal acceleration:
a = 90²/0.143
a = 56,643.36m/s²
Hence the the centripetal acceleration of the stone is 56,643.36m/s²
can anyone help me put this sentence into a scientific grammar ig : I had to put the blocks on the weigher, and wright down how much they weigh. I had to put the blocks next to the ruler to measure the height.
Answer:
I had to put the blocks on the weigher, and write down how much they weigh. I had to put the blocks next to the ruler to measure the height.
Explanation:
u would change wright to write because wright can be a name and if u change it to write that would be correct because u are actually writing something down. so it would be right because u are writing something down