First would be the yellow thing to go up next will be the spoons hanging or whatever that is then will be the ball and the car and the thing that’s next to the dog and last will be the thing that throws to treat. Sorry I don’t know what they’re called. You just have to do an obstacle for the dog to receive the treat.
N2O is the chemical formula of a covalent compound used in the production of whipping cream. The elements that
make up this compound are nitrogen and oxygen.
What is the name of the second element in the chemical name of this compound?
N₂O: Nitrous oxide
oxygen
List two things affected by friction PLEASE RESPOND I NEED HELP
metal and hair I think hope this helps
Answer:
cars and trains
Explanation:
i hope that good
What is the weight, on Earth, of a book with a mass of 1.5 kg?
0 1,5 N
0 6,5 N
O 11.3N
0 14 7 N
Answer:
\(\boxed {\tt 14.7 \ Newtons}\)
Explanation:
Weight is force due to gravity.
The formula for weight is:
\(W=m*g\)
where m is the mass and g is the acceleration of gravity.
On Earth, the acceleration due to gravity is 9.8 meters per seconds squared.
The mass of the book is 1.5 kilograms. Therefore:
\(m= 1.5 \ kg \\g=9.8 \ m/s^2\)
Substitute the values into the formula.
\(W= 1.5 \ kg *9.8 \ m/s^2\)
Multiply.
\(W=14.7 \ kg*m/s^2\)
1 kg meter per second squared is equal to 1 Newton, so our answer of 14.7 kg*m/s² is equal to 14.7 Newtons.
\(W=14.7 \ N\)
The weight of a 1.5 kilogram book on Earth is 14.7 Newtons.
Answer:
Answer:
Explanation:
Weight is force due to gravity.
The formula for weight is:
where m is the mass and g is the acceleration of gravity.
On Earth, the acceleration due to gravity is 9.8 meters per seconds squared.
The mass of the book is 1.5 kilograms. Therefore:
Substitute the values into the formula.
Multiply.
1 kg meter per second squared is equal to 1 Newton, so our answer of 14.7 kg*m/s² is equal to 14.7 Newtons.
The weight of a 1.5 kilogram book on Earth is 14.7 Newtons.
Explanation:
The diagram shows the electric field lines due to two charged parallel metal plates. We conclude
that:
a.
an electron at X could have its weight balanced by the electrical force
b.
a proton at X experiences a greater force than if it were placed at Z
c.
the upper plate is positive and the lower plate is negative
d.
a proton at X experiences less force than if it were placed at Z
e.
a proton at X would experience the same force if it were placed at Y
Based on the given diagram, we can only reasonably conclude statement c, that the upper plate is positive and the lower plate is negative
What is Electric Field?
Electric field is a concept used in physics to describe the influence that an electric charge exerts on other charges in its vicinity. It is defined as the force experienced by a positive test charge placed in the vicinity of an electric charge, divided by the magnitude of the test charge
The upper plate is positive and the lower plate is negative: This statement is a common convention for charged parallel metal plates in a capacitor. The positive plate is usually considered as the plate with electric field lines originating from it (in this case, the upper plate), and the negative plate is usually considered as the plate with electric field lines terminating on it (in this case, the lower plate). So, this statement is likely to be true based on convention.
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A basketball player must jump 1.2m in the air in order to dunk. What is the total time he is in the air?
Answer:
0.98 [sec].
Explanation:
1) the time when the player is moving up equals the time the player falls, it can be 't'. Then
2) the equation of moving down can be written as
\(\frac{g*t^2}{2} =h, \ where\)
g=10 [m/s²], t - time, h - the given height.
3) according to the formula above the time spent to moving down is:
\(t=\sqrt{\frac{2h}{g}};\)
\(t=\sqrt{\frac{2.4}{10}}=\sqrt{0.24} =0.49[s].\)
4) finally, the total time is t*2=0.98[sec].
A rectangular block of wood has dimensions 240mm×20.5cm×0.040m. calculate its volume in cm³.
Answer: 1968 cm3
Explanation: You first need to convert all of your dimensions to the same units.
240 mm = 24 cm
20.5 cm = 20.5 cm
0.04 m = 4 cm
Then volume is Length x width x height = 24 cm x 20.5 cm x 4 cm =
An appliance draws 3 amperes at 120 V (plugged into the wall). If the same appliance is run with a 12 V car battery, how many amperes will it need?
The appliance is run with a 12 V car battery and the value of the electric current will be 0.3A.
What is electric current?The pace at which electrons travel through a conductor is known as electric current. The ampere is the SI unit for electric current.
From ohm's law;
Case 1;
V=IR
120 V = 3 A × R
R = 40 ohm
For the same appliances, the value of the resistance is the same;
Case 2;
V=IR
12 V = I × 40 ohm
I = 0.3 A
Hence the value of the current for case 2 will be 0.3 A.
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The relationship between frequency and period is...
\( \\ \)
Frequency, f, is how many cycles of an oscillation occur per second and is measured in cycles per second or hertz (Hz). The period of a wave, T, is the amount of time it takes a wave to vibrate one full cycle. These two terms are inversely proportional to each other: f = 1/T and T = 1/f.
\( \\ \)
Hope It Helps!
Answer:
Inverse
Explanation:
Frequency is the number of cycles in a second. Frequency is the inverse of a period
frequency = 1 / period
Ángel is riding his bike 15m/h south a) speed b) velocity c) acceleration
Answer:
Velocity
Explanation:
Speed does not have a direction, Acceleration means that it is speeding up and not at a constant 15m/h, so the answer is B.
A 15.0kg block is resting on a 2.5 m long board with a coefficient of static friction of 0.45. If one end of the board is slowly raised, at what angle will the block slip?
As the board is raised by an angle θ, the block will be held in place by 3 forces:
• its weight, pointing downward (magnitude w )
• the normal force of the board pushing up on the block, pointing in the direction perpendicular to the board (mag. n)
• static friction, pointing in the direction parallel to the board, opposite the direction the block would slip (mag. f )
Decompose the vectors into components that are parallel and perpendicular to the board (taking the direction of n to be the positive direction perpendicular to the board, and the direction of f to be the negative directoin parallel to it), so that by Newton's second law, we have
• net parallel force:
∑ F = w (//) + f
∑ F = m g sin(θ) - µ n = 0
where µ = 0.45 is the coefficient of static friction, g = 9.80 m/s² is the mag. of the acceleration due to gravity, and m = 15.0 kg is the mass of the block.
• net perpendicular force:
∑ F = n + w (⟂)
∑ F = n - m g cos(θ) = 0
Solve for n in the equation for net perpendicular force:
n = m g cos(θ)
Substitute this into the equation for net parallel force:
m g sin(θ) - 0.45 m g cos(θ) = 0
Solve for θ :
sin(θ) - 0.45 cos(θ) = 0
sin(θ) = 0.45 cos(θ)
tan(θ) = 0.45
θ = tan⁻¹(0.45)
θ ≈ 24.2°
So the maximum angle the board can be lifted before the block starts to slide is about 24.2°, since the coefficient of static friction µ is such that
f = µ n
where f is the maximum magnitude of the static friction force.
A machine has a velocity ratio of 5 and the efficiency is 80% what effort would be needed to lift a load of 200N
Explanation:
To determine the effort needed to lift a load of 200N, given a velocity ratio of 5 and an efficiency of 80%, we can use the formula:
Efficiency = (Output Work / Input Work) * 100
Efficiency can also be calculated as the ratio of the output force to the input force. In this case, the output force is the load being lifted (200N), and the input force is the effort required.
Given that the velocity ratio is 5, it means that for every 5 units of distance the effort moves, the load moves 1 unit of distance. This implies that the effort is exerted over a greater distance than the load.
Let's denote the effort force as "E" and the distance moved by the effort as "dE." Similarly, the load force is "L," and the distance moved by the load is "dL."
Using the velocity ratio, we have the following relationship:
dE / dL = 5
Now, we can calculate the input work (Wi) and the output work (Wo):
Input Work (Wi) = Effort (E) * Distance moved by the effort (dE)
Output Work (Wo) = Load (L) * Distance moved by the load (dL)
Given that the efficiency is 80%, we can rewrite the formula for efficiency as:
0.80 = (Wo / Wi) * 100
Now, let's solve for the effort (E) using the given values:
Load (L) = 200N
Efficiency = 0.80
Velocity Ratio = 5
First, calculate the output work (Wo):
Wo = Load (L) * Distance moved by the load (dL)
Since the velocity ratio is 5, the distance moved by the load (dL) will be 1/5 of the distance moved by the effort (dE):
dL = (1/5) * dE
Wo = L * (1/5) * dE
Wo = 200N * (1/5) * dE
Wo = 40N * dE
Next, calculate the input work (Wi):
Wi = Effort (E) * Distance moved by the effort (dE)
Wi = E * dE
Now, substitute the values into the efficiency formula:
0.80 = (Wo / Wi) * 100
0.80 = (40N * dE) / (E * dE) * 100
0.80 = 40 / E * 100
0.80 * E = 40
E = 40 / 0.80
E = 50N
Therefore, the effort needed to lift a load of 200N with a velocity ratio of 5 and an efficiency of 80% is 50N.
An helicopter lowers a probe into lake Chad which is suspended on a cable. the probe has a mass of 500kg and its average density is 1400kg/m³. what is the tension in the cable?
Answer:
1,401.85NExplanation:
If the mass of the probe is 500kg, its weight W = mass acceleration due to gravity.
Weight of the probe = 500*9.81
Weight of the probe = 4,905N
If its average density = 1400kg/m³
Volume = Mass/Density
Volume = 500/1400
Volume = 0.3571m³
According to the floatation principle, the volume of the probe is equal to the volume of liquid displaced. Hence the volume of water displaced is 0.357m³.
Since density of water is 1000kg/m³, we can find the mass of the water using the formula;
Mass of water = Density of water * Volume of water
Mass of water = 1000*0.3571
Mass of water = 357.1kg
Weight of water displaced = 3571 * 9.81 = 3503.15N
The tension in the cable will be the difference between the weight of the probe and weight of the displaced fluid.
Tension in the cable = 4,905N - 3503.15N
Tension in the cable = 1,401.85N
Hence the tension in the cable is 1,401.85N
Two plates labeled A and B are separated and initially neutral. Through some mechanism, 7 μC (microcoulombs) of positive Charge are move from plate A to plate B. Answer below questions about the final electrostatic state of each plate after the transfer. 1) After the transfer is complete, indicate how many excess protons (or singly positive ions) are on Plate B ? 2) After the transfer is complete, what is the sign and number of the uncanceled elemental charges on Plate A. Note: positive values require no sign.
Answer:
1) Approximately \(4\,\,\,10^{13}\) excess protons
2) negative \(4\,\,\,10^{13}\) (\(-4\,\,\,10^{13}\))
Explanation:
1)
Recall that the charge of an electron or proton is approximately: \(1.6\,\,\,10^{-19} \,C\)
Therefore, to find the number of protons transferred in 7 micro-Coulombs of charge, we do:
\(\frac{7\,\,10^{-6}\,}{1.6\,\,10^{-19}} \approx 4\,\,10^{13}\)
Approximately \(4\,\,\,10^{13}\) excess protons
2)
The sign and number of uncanceled elemental charges on plate A is therefore negative \(4\,\,\,10^{13}\) , because the same number of positive charges were removed from it, changing its neutrality
Which factor limits interference between waves? A constant phase relationship between waves Similar wave amplitudes Unequal wavelengths Radiation through the same region
Answer:
Unequal Wavelengths
Explanation:
Got it right on the exam
Unequal wavelengths limit interference between waves because the waves will have different frequencies and will not be able to form a stable interference pattern. When waves of different wavelengths interact, they will interfere constructively and destructively at different points, creating an unpredictable pattern.
Answer:
Unequal wavelengths
Explanation:
Got it correct on the quiz.
ASAP!!!!!!
An object that has the ability to do work has __________ energy. (4 points)
magnetic
kinetic
potential
electrical
Answer:
kinetic energy
Explanation:
Hope it helps you
The image shows a diagram explaining a concept.
Which concept does the diagram show?
A. tempature
B. Altitude
C. air density
D. air pressure
Answer:
D.
Explanation
Air pressure.
Answer:air pressure
Explanation:
What are the factors that influence the amount of elastic energy in an object
list three things that spectra can tell us about objects in space
Answer:
The temperature, the density, and the element of stars.
Explanation:
The spectral line also can tell us about any magnetic field of the star. The width of the line can tell us how fast the material is moving. We can learn about winds in stars from this.
distinguished between stationary & progressive wave
Explanation:
Stationary waves are still, they do not travel in a medium. Progressive waves travel in the medium in different phases.
hope this helps you
have a great day
Show all steps.
1.A cue ball (mass = 0.165 kg) is at rest on a frictionless pool table. The ball is hit dead center by a pool
stick, which applies an impulse of + 1.50 Ns to the ball. The ball then slides along the table and makes
an elastic head-on collision with a second ball of equal mass that is initially at rest. Find the velocity of
the second ball just after it is struck
Answer:
Steps and solution in the attached pictureSteps and solution in the attached picture.
Explanation:
Steps and solution in the attached pictureSteps and solution in the attached picture.
The velocity of the second ball just after it is struck will be 9.091 m/s.
What is an impulse?To quantify the effect of force acting over time to change the momentum of an object is referred to as impulse.
To calculate the velocity in the given scenario,
Given that,
mV=1.5
\(V=\frac{impulse}{mass}\)
\(V=\frac{1.5}{0.165}\)
V=9.091 m/s
Thus, the velocity will be 9.091 m/s.
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Determine the speed of the 50-kg cylinder after it has descended a distance of 2 m, starting from rest. Gear A has a mass of 10 kg and a radius of gyration of 125 mm about its center of mass. Gear B and drum C have a combined mass of 30 kg and a radius of gyration about their center of mass of 150 mm
This question is incomplete, the missing image is uploaded along this answer below.
Answer:
the speed of the 50-kg cylinder after it has descended is 3.67 m/s
Explanation:
Given the data in the question and the image below;
relation between velocity of cylinder and velocity of the drum is;
V\(_D\) = ω\(_c\) × r\(_c\) ----- let this be equ 1
where V\(_D\) is velocity of cylinder, ω\(_c\) is the angular velocity of drum C and r\(_c\) is the radius of drum C
Now, Angular velocity of gear B is;
ω\(_B\) = ω\(_C\)
ω\(_B\) = V\(_D\) / r\(_c\) -------- let this equ 2
so;
V\(_D\) / 0.1 m = 10V\(_D\)
Next, we determine the angular velocity of gear A;
from the diagram;
ω\(_A\)( 0.15 m ) = ω\(_B\)( 0.2 m )
from equation 2; ω\(_B\) = V\(_D\) / r\(_c\)
so
ω\(_A\)( 0.15 m ) = (V\(_D\) / r\(_c\) ) 0.2 m
substitutive in value of radius r\(_c\) (0.1 m)
ω\(_A\)( 0.15 m ) = (V\(_D\) / 0.1 m ) 0.2 m
ω\(_A\)( 0.15 ) = 0.2V\(_D\) / 0.1
ω\(_A\) = 2V\(_D\) / 0.15
ω\(_A\) = 13.333V\(_D\) ----- let this be equation 3
To get the speed of the cylinder, we use energy conversation;
assuming that the final position is;
T₁ + ∑\(U_{1-2\) = T₂
0 + m\(_D\)gh = \(\frac{1}{2}\)m\(_D\)V²\(_D\) + \(\frac{1}{2}I_A\)ω²\(_A\) + \(\frac{1}{2}I_B\)ω²\(_B\)
so
m\(_D\)gh = \(\frac{1}{2}\)m\(_D\)V²\(_D\) + \(\frac{1}{2}\)(m\(_A\)k\(_A\)²)(13.333V\(_D\))² + \(\frac{1}{2}\)(m\(_B\)k\(_B\)²)(10V\(_D\))²
we given that; m\(_D\) = 50 kg, h = 2 m, m\(_A\) = 10 kg, k\(_A\) 125 mm = 0.125 m, m\(_B\) = 30 kg, k\(_B\) = 150 mm = 0.15 m.
we know that; g = 9.81 m/s²
so we substitute
50 × 9.81 × 2 = ( \(\frac{1}{2}\) × 50 × V\(_D\)²) + \(\frac{1}{2}\)( 10 × (0.125)² )(13.333V\(_D\))² + \(\frac{1}{2}\)( 30 × (0.15)²)(10V\(_D\))²
981 = 25V\(_D\)² + 13.888V\(_D\)² + 33.75V\(_D\)²
981 = 72.638V\(_D\)²
V\(_D\)² = 981 / 72.638
V\(_D\)² = 13.5053
V\(_D\) = √13.5053
V\(_D\) = 3.674955 ≈ 3.67 m/s
Therefore, the speed of the 50-kg cylinder after it has descended is 3.67 m/s
toy rocket engine is securely fastened to a large puck that can glide with negligible friction over a horizontal surface, taken as the x-y plane. The 4.00 kg puck has a velocity of 3.00 i m/s at one instant. Eight seconds later, its velocity is (8.00 i 10.00 j) m/s. Assuming the rocket engine exerts a constant force, find (a) the components of the force and (b) its magnitude.
Answer:
Fx = 2.5 N
Fy = 5 N
|F| = 5.59 N
Explanation:
Given:-
- The mass of puck, m = 4.0 kg
- The initial velocity of puck, u = 3.00 i m/s
- The final velocity of puck, v = ( 8.00 i + 10.00 j ) m/s
- The time interval for the duration of force, Δt = 8 seconds
Find:-
the components of the force and (b) its magnitude.
Solution:-
- We will set up a coordinate system ( x - y ) plane. With unit vectors i and j along x and y axes respectively.
- To model the situation we will seek help from Newton's second law of motion. Defined by the rate of change of linear momentum of the system.
\(F_net = \frac{m*( v - u ) }{dt}\)
Where,
Fnet: The net force that acts on the puck-rocket system
- Here we will assume that the mass of rocket is negligible compared to the mass of the puck. The only force ( F ) acting on the puck is due to the thrust produced of the rocket. The dry and air frictions are both neglected for the analysis.
- We will apply the newton's second law of motion in component forms. And determine the components of force F, as ( Fx ) and ( Fy ) as follows:
\(F_x = \frac{m* ( v_x - u_x)}{dt} \\\\F_x = \frac{4* ( 8 - 3)}{8} \\\\F_x = 2.5 N\\\\F_y = \frac{m* ( v_y - u_y)}{dt} \\\\F_y = \frac{4* ( 10 - 0)}{8} \\\\F_y = 5 N\\\\\)
- We will apply the Pythagorean theorem and determine the magnitude of the thrust force produced by the rocket with which the puck accelerated:
\(| F | = \sqrt{( F_x)^2 + ( F_y)^2} \\\\| F | = \sqrt{( 2.5)^2 + ( 5)^2} \\\\| F | = \sqrt{31.25} \\\\| F | = 5.590\)
Answer: the magnitude of the thrust force is F = 5.59 N
. A 5cm tall object is placed perpendicular to the principal axis of a convex lens of focal
length 10 cm. The distance of the object from the lens is 15 cm. Find the nature, position
and size of the image. Also find its magnification
The nature of the image formed by the convex lens is virtual, the position of the image is 30 cm away from the lens on the same side as the object, and the size of the image is twice the size of the object. The magnification is 2, meaning the image is magnified.
Given:
Object height (h) = 5 cm
Focal length of the convex lens (f) = 10 cm
Object distance (u) = 15 cm (positive since it's on the same side as the incident light)
To determine the nature, position, and size of the image, we can use the lens formula:
1/f = 1/v - 1/u
Substituting the given values:
1/10 = 1/v - 1/15
To simplify the equation, we find the common denominator:
3v - 2v = 2v/3
Simplifying further:
v = 30 cm
The image distance (v) is 30 cm. Since the image distance is positive, the image is formed on the opposite side of the lens from the object.
To find the magnification (M), we use the formula:
M = -v/u
Substituting the values:
M = -30 / 15 = -2
The magnification is -2, indicating that the image is inverted and twice the size of the object.
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A block is attached to the top of a spring that is oscillating vertically. A small coin with negligible mass is riding on top of the block (it is not attached to either the block or the spring). You measure that the largest possible time for the block to complete one full oscillation, without causing the coin to fall off, is 2.5 s. What is the amplitude of this oscillation
A is the oscillation's amplitude, or the maximum displacement of the object from equilibrium, in either the positive or negative x-direction. Simple harmonic motion is cyclical.
What is oscillation?Oscillation is defined as the repeated or periodic change of a quantity around a central value or between two or more states, which occurs frequently in time. Two common examples of oscillation are alternating current and a swinging pendulum.Oscillation is the process by which a quantity or measure fluctuates repeatedly about its equilibrium value over time. Another way to define oscillation is a periodic change in the value of a substance between two values or around its central value. The to and fro motion of the body about its fixed position is defined as oscillatory motion. Periodic motion includes oscillatory motion. Vibrating strings, swinging on a swing, and other examples of oscillatory motionTo learn more about oscillation refer to:
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What stages will the Binary star Sabik go through until the end of its life?
(Picture for reference)
Given what we know, as with any binary star system, the life cycle of these stars will end with one of them forming a white dwarf star, and the other becoming a red giant that will engulf the white dwarf.
What does this mean for Star Sabik?Taking information from the diagram provided, we can infer that the star Sabik is in its white dwarf state at the current time. This means that before long, the remaining star in this binary system will become a red giant. When this happens, it will engulf star Sabik, and that will be the end of this star's life cycle.
Therefore, we can confirm that as with any binary star system, the life cycle of these stars will end with one of them forming a white dwarf star, and the other becoming a red giant that will engulf the white dwarf.
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Suppose a 3000 cm3 container holds 7.0 g of nitrogen gas at a pressure of 200 kPa. The gas can be heated at constant pressure if a piston moves outward to let the gas expand as it's heated. Alternatively, the gas can be heated at constant volume if the piston is locked in place to prevent expansion. How does the heat required for one of these processes compare to the heat required for the other process?
1. What is the starting temperature of the gas?
2. With the piston locked in place, the gas is heated until the pressure doubles. What is the final temperature?
1) The starting temperature of the gas is 288 K
b) When the pressure is doubled, the temperature is 576 K
What is the temperature?We know that we have to use the ideal gas equation so as to be able to obtain the temperature of the starting of the gas and we know that;
Pressure = 200 kPa or 1.97 atm
Volume = 3000 cm3 or 3 L
Temperature = ?
Number of moles = mass/molar mass = 7 g/28 g/mol = 0.25 moles
Then we have;
PV = nRT
T = PV/nR
T = 1.97 * 3/0.25 * 0.082
T = 5.91/0.0205
T = 288 K
If the pressure doubles and we have;
P1/T1 = P2/T2
P1T2 = P2T1
T2 = 2(1.97) * 288/1.97
T2 = 576 K
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or the 3500-lb car, determine (a) its mass in slugs, (b) its weight in newtons, and (c) its mass in kilograms.
or the 3500-lb car
(a) its mass in slugs is 108.69lbm. (b) its weight in Newton 15568N. (c) its mass in kilograms is 1586.95kg.W= 3500lb
A). \(W= mg\)
\(m=\frac{3500}{32.2} = 108.69lbm\)
B). \(W=3500lb*4.448\frac{N}{lb}=W= 15568N\)
C).
\(W= mg\\15568= m*9.81\\m= \frac{15568}{9.81} \\m= 1586.95kg\)
Mass is an intrinsic property of a body. It was traditionally believed to be related to the quantity of being counted in a bodily body, till the invention of the atom and particle physics. It changed into determined that distinctive atoms and one-of-a-kind elementary debris, theoretically with an identical amount of depend, have nevertheless specific masses. Mass in contemporary physics has a couple of definitions that are conceptually awesome, but physically equivalent. Mass can be experimentally defined as a measure of the frame's inertia, which means the resistance to acceleration (trade-off speed) when an internet pressure is implemented. The object's mass also determines the energy of its gravitational attraction to different bodies.
In physics, mass is not the same as weight, despite the fact that mass is frequently determined by measuring the object's weight through the use of a spring scale, in place of a balance scale evaluating it without delay with regarded loads. An item on the Moon might weigh less than it does on earth because of the decreased gravity, however, it would nonetheless have the same mass.
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Tendons are, essentially, elastic cords stretched between two fixed ends; as such, they can support standing waves. These resonances can be undesirable. The Achilles tendon connects the heel with a muscle in the calf. A woman has a 20-cm long tendon with a cross-section area of 130 mm^2. The density of tendon tissue is 1100 kg/m^3.
Required:
For a reasonable tension of 600 , what will be the fundamental resonant frequency of her Achilles tendon?
Answer:
161.938 Hz
Explanation:
the computation of the fundamental resonant frequency is shown below
p = 1100 kg/m^3
A = 130 mm^2
= 130 ×10^-6 m^2
T = 600 N
L = 20 cm
= 0.2 m
Now the linear density of tendon is
= 1100 kg/m^3 × 130 ×10^-6
= 0.143 kg/m
Now the wave of the string is
= √600 ÷ √0.143
= 64.775 m/s
Now finally the fundamental resonant frequency is
= 64.775 ÷ (2 × 0.2)
=161.938 Hz
wire (mass = 50 g, length = 40 cm) is suspended horizontally by two vertical wires which
conduct a current I = 8.0 A, as shown in the figure. The magnetic field in the region is into the
paper and has a magnitude of 60 mT. What is the tension in either wire?
The magnetic field in the region is into the paper and has a magnitude of 60 mT and the tension in either wire is 0.096 N.
To find the tension in either wire, we can apply the equation for the force experienced by a current-carrying wire in a magnetic field.
The force experienced by a current-carrying wire in a magnetic field is given by the equation F = B * I * L * sin(θ), where B is the magnetic field strength, I is the current, L is the length of the wire, and θ is the angle between the wire and the magnetic field.
In this case, the wire is suspended horizontally by two vertical wires, and the magnetic field is into the paper. Since the wire is horizontal, the angle between the wire and the magnetic field is 90 degrees, so sin(θ) = 1.
The force experienced by the wire due to the magnetic field is F = B * I * L.
Given:
Current (I) = 8.0 A
Magnetic field (B) = 60 mT = 60 * 10^(-3) T
Length of the wire (L) = 40 cm = 40 * 10^(-2) m
Substituting the given values into the equation, we get:
F = (60 * 10^(-3) T) * (8.0 A) * (40 * 10^(-2) m)
Simplifying the expression, we find:
F = 0.192 N
Since the wire is suspended by two vertical wires, the tension in each wire will be half of the total force. Therefore, the tension in either wire is 0.192 N / 2 = 0.096 N.
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What are two concerns with personality
tests?
Unreliable personality tools on the market, inaccurate test results, anxious candidates as a result of linguistic and cultural barriers, pricey personality tools, and lengthy assessments are some of the issues with personality tests.
What two issues are there with personality tests?Some aspects of a person's personality are overemphasized by personality tests, while others are underemphasized, misplaced, or completely ignored. Personality tests don't accurately represent a particular aspect of a person's personality; instead, they present a skewed, false impression of the whole thing.
Projective tests and self-report inventories are the two main categories of personality tests. Test-takers must read questions and then rate how well the question or statement applies to them in self-report inventories.
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