calculate the speed of the disk in conceptual example 10-17 at the bottom of the inclined plane if the height of the incline is 0.55 m .
Answers
The speed of the cylinder at the bottom of the inclined plane is approximately 1.44 m/s.
To determine the speed of the cylinder at the bottom of the incline, we can use the conservation of energy principle, which states that the total mechanical energy of the system is conserved.
At the top of the incline, the cylinder has only potential energy, which is given by:
PE = mgh
where m is the mass of the cylinder, g is the acceleration due to gravity, and h is the height of the incline.
At the bottom of the incline, the cylinder has both kinetic energy due to its translational motion and rotational energy due to its spinning motion. The total kinetic energy is given by:
KE = (1/2)mv^2 + (1/2)Iw^2
where v is the linear speed of the cylinder, I is its moment of inertia, and w is its angular speed.
Since the cylinder rolls without slipping, we can relate v and w using the equation:
v = rw
where r is the radius of the cylinder.
The moment of inertia of a solid cylinder is given by:
I = (1/2)mr^2
Substituting these expressions for KE and I into the conservation of energy equation, we obtain:
mgh = (1/2)mv^2 + (1/2)(1/2)mr^2w^2
Simplifying and substituting v = rw, we get:
v = √(2gh/3)
Plugging in the given values, we get:
v = √(2 × 9.81 m/s^2 × 0.55 m/3)
≈ 1.44 m/s
Therefore, the speed of the cylinder at the bottom of the inclined plane is approximately 1.44 m/s.
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To calculate the speed of the disk in conceptual example 10-17 at the bottom of the inclined plane, we need to use the conservation of energy principle. The potential energy at the top of the incline is converted into kinetic energy at the bottom.
First, we need to calculate the potential energy at the top of the incline. The potential energy can be calculated using the formula:
PE = mgh
Where m is the mass of the disk, g is the acceleration due to gravity (9.81 m/s^2), and h is the height of the incline (0.55 m).
PE = (0.5 kg) x (9.81 m/s^2) x (0.55 m) = 2.7 J
This potential energy is converted into kinetic energy at the bottom of the incline, which can be calculated using the formula:
KE = 0.5mv^2
Where v is the speed of the disk at the bottom.
Since energy is conserved, we can set PE equal to KE:
PE = KE
2.7 J = 0.5(0.5 kg)v^2
Solving for v, we get:
v = sqrt(2.7 J / 0.25 kg)
v = 3.3 m/s
Therefore, the speed of the disk in conceptual example 10-17 at the bottom of the inclined plane is 3.3 m/s.
In the conceptual example 10-17, a disk rolls down an inclined plane. To calculate the speed of the disk at the bottom of the inclined plane with a height of 0.55 meters, we can use the conservation of mechanical energy principle. This principle states that the total mechanical energy (potential energy + kinetic energy) of the disk remains constant if no external forces are acting on it.
At the top of the incline, the disk has only potential energy (PE) due to its height, and no kinetic energy (KE) since it is not moving. As it rolls down, the potential energy is converted into kinetic energy (both translational and rotational).
The potential energy at the top is given by PE = m * g * h, where m is the mass of the disk, g is the acceleration due to gravity (approximately 9.81 m/s^2), and h is the height of the incline (0.55 m).
At the bottom of the incline, the disk has no potential energy, and its kinetic energy is a combination of translational (KE_t) and rotational (KE_r) components. The total kinetic energy is given by KE = (1/2) * m * v^2 + (1/2) * I * ω^2, where v is the linear velocity, I is the moment of inertia of the disk, and ω is the angular velocity.
Since the total mechanical energy is conserved, we can set the potential energy at the top equal to the kinetic energy at the bottom:
m * g * h = (1/2) * m * v^2 + (1/2) * I * ω^2
To solve for the linear velocity (v) at the bottom of the incline, we also need to know the mass of the disk, the moment of inertia, and the angular velocity. These values are not provided in your question. However, once you have this information, you can use the conservation of mechanical energy equation to find the speed of the disk at the bottom of the inclined plane.
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Related Questions
Based on the law of conservation of energy, how can we reasonably improve a machine’s ability to do work?
Answers
Answer:
We can reasonably improve a machines ability to do work by reducing the friction between the moving parts of machine.
Explanation:
According to the law of conservation of energy, the energy can neither be created nor destroyed.
magnitudes cuantitativas
ejemplos
Answers
A physical change can be distinguished from a chemical change because during a physical change- A. the properties of the substance may change, but no new substances are produced B. the properties of the substance change for only a short time but will return to their original state. C. an entirely new substance with new properties forms as a result of the change D. a new substance is produced, but the new substance has properties identical to the original substance.
Answers
Answer:
a
Explanation:
yw
Answer:
Its B and C on edge
Explanation:
What velocity, relative to the wind, must the helicopter acquire so that it can maintain a steady position relative to the survivor at all times
Answers
If the wind is blowing to the right at 10 meters per second, then the helicopter would need to move to the left at 10 meters per second.
When a helicopter hovers, it is essentially stationary relative to the ground and the wind that is pushing it around. The velocity, relative to the wind, that the helicopter must acquire so that it can maintain a steady position relative to the survivor at all times is equal to the velocity of the wind. In order to hover, a helicopter must create lift. When the helicopter is hovering, its lift must balance the force of gravity on the helicopter so that it stays in the air. When a helicopter is hovering, it must also fight against the wind that is pushing it around. If the wind is pushing the helicopter to the right, then the helicopter must move to the left in order to maintain a steady position relative to the survivor. In this situation, the velocity that the helicopter would need to acquire would be equal to the velocity of the wind, but in the opposite direction. So if the wind is blowing to the right at 10 meters per second, then the helicopter would need to move to the left at 10 meters per second.
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1. Find the force due to gravity if the mass of the object is 2300 kg
and the mass of the other object is 4000 kg. The distance
between the two objects is 0.150 m.
Answers
The force due to gravity will be 0.0272 Newtons.
What exactly does gravitational force signify?The force between two mass-containing objects that are drawn toward one another is referred to as the gravitational pull. There is gravity everywhere around us. For instance, it maintains the planets in our solar system in orbit around the Sun. Additionally, because to gravity, the Moon maintains its orbit around the Earth.
How to calculate gravitational force in the above question?Despite being weak and appealing, gravitational forces exist.
Given, mass of one object= 2300 kg
mass of another object= 4000 kg
distance between the two objects= 0.150 m
value of G is universal, \(G= 6.67\)×\(10^{-11}\) \(N m^{2} / kg^{2}\)
the equation is, \(F=G\frac{M1 . M2}{d^{2} }\)
\(F=0.0272 N\)
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does the magnetic field increase or decrease the wavelength? disregard the effect of electron spin.
Answers
The presence of a magnetic field does not directly alter the wavelength of electromagnetic radiation. However, magnetic fields can indirectly affect the behavior of charged particles, which can lead to changes in the emitted or absorbed wavelengths of light.
The wavelength of electromagnetic radiation is primarily determined by the frequency of the wave and the speed of light in a vacuum, which are intrinsic properties of the wave itself. The magnetic field, on its own, does not have a direct effect on these fundamental properties. Therefore, in the absence of any other factors, the presence of a magnetic field does not increase or decrease the wavelength of electromagnetic radiation.
However, the behavior of charged particles in the presence of a magnetic field can be influenced, which can indirectly impact the wavelength of light emitted or absorbed by those particles. For example, when charged particles move in a circular path under the influence of a magnetic field, such as in a cyclotron, they emit radiation known as cyclotron radiation. This radiation is characterized by a specific wavelength determined by the properties of the particles and the strength of the magnetic field.
In addition, magnetic fields can cause a phenomenon called Zeeman splitting, which occurs when the energy levels of atoms or molecules are affected by the magnetic field. This splitting results in the emission or absorption of light at slightly different wavelengths, known as the Zeeman effect. This effect can be observed in certain situations, such as in the spectra of stars or in laboratory experiments involving magnetic fields.
In summary, while the magnetic field itself does not directly impact the wavelength of electromagnetic radiation, it can affect the behavior of charged particles and subsequently lead to changes in the emitted or absorbed wavelengths of light.
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Of the 5 types of energy in class, which would be a type of potential energy?
mechanical energy
solar energy
chemical energy
thermal energy
Answers
Answer:
time fate hope is gone and leve hate
HELP! NEED THE ANSWER IN 6 MINS!!!!!!!!!!!!!!!
Answers
Answer:
C
Explanation:
A new larger and more massive than a baseball. Use newtons second law to explain why players can't throw or hit a softball as far as a baseball?
Answers
Answer:
When a baseball is pitched, hit and flies in the air, one or more of the physical principles formulated over 300 years ago by Sir Isaac Newton act on it. Folklore tells how the mathematician and physicist first realized the law of gravity while observing a falling apple. Had Newton watched a baseball game instead, he might have formulated all three laws of motion by the seventh-inning stretch.
I think it is right.
being the adventurous person that you are (you are in this class after all), you have made the choice to bungee jump off of a bridge. as you near the bottom of your fall, the bungee cord begins to tighten and your rate of downward acceleration decreases from free-fall to 7.35 m/s2. at this moment, your apparent weight is?
Answers
When the bungee cord begins to tighten and your rate of downward acceleration decreases from free-fall to 7.35 m/s², your apparent weight will be greater than your actual weight.
To understand this, let's consider the forces acting on you at that moment. Initially, when you were in free-fall, the only force acting on you was gravity, which caused you to accelerate downward at approximately 9.8 m/s² (acceleration due to gravity on Earth).
However, when the bungee cord starts to tighten, an upward force from the bungee cord comes into play. This force counteracts the downward force of gravity and causes your downward acceleration to decrease.
Apparent weight is the force experienced by an object due to the supporting surface or structure. In this case, your apparent weight is the force exerted on you by the bungee cord, which counteracts the force of gravity and reduces your acceleration.
To calculate your apparent weight, we can use Newton's second law of motion
F_net = m * a
where F_net is the net force, m is your mass, and a is your acceleration.
In this case, the net force is the difference between the downward force of gravity and the upward force from the bungee cord. So we can rewrite the equation as:
F_apparent - m * g = m * a
where F_apparent is your apparent weight, g is the acceleration due to gravity, and a is your reduced downward acceleration.
Solving for F_apparent:
F_apparent = m * (g + a)
Substituting the given values, where a = 7.35 m/s² and g = 9.8 m/s²:
F_apparent = m * (9.8 + 7.35) = m * 17.15
Therefore, at the moment your downward acceleration decreases to 7.35 m/s², your apparent weight will be 17.15 times your actual weight (mg).
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Element tounlukely have a reaction with any element or conpound
Answers
Answer:
conpound
Explanation:
When you open the front door to your warm house on a cold day, which way does the heat flow? For example, which is correct to say: "Close the door, you're letting the cold in!" or "Shut the door, you're letting the heat in!".
Answers
Answer:
close the door your letting the cold in
a thin glass rod is submerged in ethanol. part a what is the critical angle for light traveling inside the rod?
Answers
The critical angle for light traveling inside a thin glass rod submerged in ethanol can be calculated using Snell's law and the concept of total internal reflection.
The critical angle is the angle of incidence at which the angle of refraction is 90 degrees, causing the light to reflect back into the glass instead of refracting out into the ethanol.
Assuming the refractive index of the glass rod is 1.5 and the refractive index of ethanol is 1.36, the critical angle can be calculated using the equation sin(theta_c) = n2/n1, where n1 is the refractive index of the glass and n2 is the refractive index of the surrounding medium.
Substituting the values, we get sin(theta_c) = 1.36/1.5, which gives a critical angle of approximately 62 degrees.
Any incident angle greater than 62 degrees will cause total internal reflection, where the light will reflect back into the glass rod instead of refracting out into the ethanol.
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Which option correctly shows the concentration of H3O+ ions in pure water?(1 point)
1.0 × 10-7 mol/L
1.0 x 10-14 mol/L
7 mol/L
14 mol/L
Answers
Answer:
1.0 × 10-7 mol/L
Explanation:
the wheels on a bicycle have a 10 inch radius. if the bike must travel exactly 2000 inches , how many revolutions are required? assume that no sliding or slipping occurs between the wheel and the road.
Answers
The wheels on a bicycle have a 10 inch radius. If the bike must travel exactly 2000 inches, the number of revolutions the wheel would make will be 31.85 revolutions.
The perimeter of the circle is called the circumference of circle.
Given, radius of the wheel = 10 inches
Diameter of the wheel = 20 inches
Length required to cover = 2000 inches
For one revolution, distance equal to the circumference moved.
1 rev = π D
1 rev = π * 20
1 rev = 62.8 inches
Number of revolutions to travel 2000 inches is 2000/62.8 = 31.85 rev
Thus, the number of revolutions required are 31.85 rev.
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A lightbulb is rated to how a power output of 80 w, if the lightbulb is running for 600 seconds, how much energy (work) is it using?
Answers
Answer:
Light bulbs are rated in watts to indicate how much energy they consume. Does the wattage of a light bulb have anything to do with brightness? ... In general, that works well with traditional incandescent light bulbs. ... It's also worth noting that kW can be synonymous with “demand” if you're talking to a utility ...
Explanation:
Light bulbs are rated in watts to indicate how much energy they consume. Does the wattage of a light bulb have anything to do with brightness? ... In general, that works well with traditional incandescent light bulbs. ... It's also worth noting that kW can be synonymous with “demand” if you're talking to a utility ...
Please help ASAP!! I need a good grade on this!!!!
What is Momentum Quick Check
1) A billiard ball moves with 3 kg•m/s of momentum and strikes three other billiard balls. What is the total momentum of the balls after the collision?
A)3kg•m/s
B)It depends on the mass of each ball
C)More than 3kg•m/s
D)Less than 3kg•m/s
An object has a mass of 5kg and a velocity of 20m/s. What is the momentum of the object?
A)4kg•m/s
B)0.25kg•m/s
C)25kg•m/s
D)100kg•m/s
A small rock bounces off the windshield of a moving car and experienced a large change in velocity. How does the car’s momentum change?
A)It has a much smaller change in momentum that that of the rock in the opposite direction
B)it has a change in momentum greater than that of the rock in the opposite direction
C)it has a change in momentum equal to that of the rock in the opposite direction
D)it does does not change
Two objects in a closed system collide while moving directly toward each other. Each has a mass of 1.00kg and is moving at 1.80 m/s. What is the total momentum after the collision?
A)1.80 kg•m/s
B)3.60 kg•m/s
C)0.90 kg•m/s
D)0.00 kg•m/s
An object has a velocity of 5m/s and a momentum of 100 kg•m/s. What is the mass of the object?
A) 500 kg
B) 20 kg
C) 0.05 kg
D) 105kg
Answers
Answer:
1A) 3kg * m/s
2D) 100
3, Guess: A smaller change of momentum
4, Guess: A, 1.80
5B) 20
Explanation:
(1) The total momentum of the balls after collision is 3 kg.m/s
(2) The momentum of the object is 100 kg.m/s
(3) The change in the car's momentum is equal to change in the rock's momentum in opposite direction.
(4) The total momentum of the objects is 0 kg.m/s
(5) The mass of the object is 20 kg.
(1) From the principle of conservation of linear momentum, total initial momentum before collision is equal to the momentum after collision.
initial momentum = final momentum
Thus, the total momentum of the balls after collision is 3 kg.m/s
(2) Linear momentum is defined as the product of mass and linear velocity of an object.
momentum of the object is calculated as;
P = mv
P = 5 x 20
P = 100 kg.m/s
(3) Apply the principle of conservation of linear momentum;
\(m_1u_1 + m_2u_2 = m_1v_1 + m_2 v_2\)
In order to ensure that momentum is conserved;
if u₁ is smaller than u₂, then v₁ must be greater than v₂Let u₁ represents the initial velocity of the small rock and u₂ is the initial velocity of the moving car. In this case, the momentum of the car is bigger.
To conserve the momentum, the final velocity of the rock v₁ must be greater than the final velocity of the car. When this happens, the rock will experience a large change in velocity.
From the equation above will have;
\(m_1u_1 + m_2u_2 = m_1v_1 + m_2 v_2\\\\m_1u_1 - m_1v_1 = m_2v_2 - m_2u_2\\\\\Delta P_{rock} = \Delta P_{car}\)
Thus, the change in the car's momentum is equal to change in the rock's momentum in opposite direction.
(4) In a closed system the momentum will be conserved;
Initial momentum = final momentum
Total momentum = final momentum + Initial momentum
The total momentum = 1 x 1.8 + 1 x (-1.8)
Note: the negative sign is because one is moving in opposite direction
The total momentum = 1.8 kg.m/s - 1.8 kg.m/s = 0 kg.m/s
(5) The mass of the object is calculated as;
\(m = \frac{P}{v} \\\\m = \frac{100}{5} \\\\m = 20 \ kg\)
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You weigh a bear by making him stand on four scales as shown. Draw a free-body diagram showing all
the forces acting on the bear. If his weight is 1,500 newtons, what is the reading on the fourth scale?
300 N 250 N
400 N
Answers
Answer:
550
Explanation:
300 N+250 N+ 400N=950N
1,500 N - 950N =550N
You weigh a bear by making him stand on four scales as shown. Draw a free-body diagram showing all the forces acting on the bear. If his weight is 1,500 newtons, then the reading on the fourth scale would be 550 Newtons.
What is Newton's second law?Newton's Second Law states that The resultant force acting on an object is proportional to the rate of change of momentum.
The mathematical expression for Newton's second law is as follows
F = m*a
As given in the problem You weigh a bear by making him stand on four scales as shown. Draw a free-body diagram showing all the forces acting on the bear. If his weight is 1,500 newtons, then we have to find the reading on the fourth scale,
300 N+250 N+ 400N = 950N
1,500 N - 950N =550N
Thus, the reading on the fourth scale would be 550 Newtons.
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a small object with a charge of magnitude q creates an electric field. at a point 1.0 m to the north of the charge the field has a value of 2.0 n/c directed south. at a point 0.5 m to the west of the charge the field has a value of
Answers
We have that for the Question,it can be said that the field has a value of
E_B=12N/C due westFrom the question we are told
a small object with a charge of magnitude q creates an electric field. at a point 1.0 m to the north of the charge the field has a value of 2.0 n/c directed south. at a point 0.5 m to the west of the charge the field has a value of
Electric fieldGenerally the equation for the electric field is mathematically given as
\(E=\frac{q}{4\piE_0r^2}\)
Therefore
\(if E_A=3N/C\\\\E_B=\frac{3}{0.25}\\\\\frac{q}{4\piE_0}=3N/C\\\\\)
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The height of an image as seen in a plane mirror is the same as the actual height of the object. Is this true or false?
Answers
The image produced by a plane mirror is virtual, upright and is same sized as the object. And the image distance is same as the object distance.
Thus given statement is true.
A 5.5 Kg rock falling in air experience a force due to air resistance of 50N. What is the acceleration
Answers
Answer:
F1 = ma = 5.5 kg * 10 m/s² = 55 N (force acts downwards)
F2 = - 50 N (force acts upwards)
net force = 5 N (downwards)
F = ma
a = F/m
a = 5 / 5.5
a = 0.91 m/s²
Explanation:
Since the object is falling downwards, the air resistance acts upwards. We also have a force acting downwards since the rock experiences gravitational acceleration (the value of g above is 10 m/s² for the sake of easier calculation but you can also set it to be 9.81 m/s² which is the more accurate value). Since the air resistance and force due to gravity are acting in opposite directions and force is a vector, we have to put a minus in front of F1 or F2 (it doesn't matter which direction you chose to be the positive one) . Then we calculate the net force, aka the difference between F1 and F2. Finally, knowing the force and the mass, we can calculate the acceleration.
What happens when a negatively charged object A is brought near a neutral object B?
A Object B gets a negative charge
B. Object B gets a positive charge.
Cobject B stays neutral but becomes polarized.
D.Object Agets a positive charge.
E object A loses all its charge.
Answers
Answer:
A, took the test
Explanation:
When setting your schedule, it is sometimes necessary to tell people "No." Please select the best answer from the choices provided. t or f
Answers
Answer:
True Edg2020
Explanation:
Answer: true
Explanation:
because I say so :P
if the inductance l in this circuit could be changed, what value of l would give a power factor of unity?
Answers
Inductance l in this circuit could be changed the value of l would give a power factor of unity as XL = R.
To determine what value of inductance l would give a power factor of unity in this circuit, we can use the following equation:
PF = XL/(XL+R),
where XL is the inductive reactance of the inductor and R is the resistance of the circuit.
When the power factor is equal to 1, this equation can be rewritten as XL = R.
Thus, the value of inductance l required to achieve a power factor of unity is equal to the resistance of the circuit divided by the angular frequency of the circuit.
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help gives 100 points
Answers
I tried ♀️
Answer:
Explanation:
from the ruler the diameter is seen to be 0.4cm.
The radius is 0.4/2 = 0.2cm.
You are asked to make a drawing of a magnet showing its field lines. A magnet's field lines always
begin near the magnet's ______ and end near the ________
A. Center, center
B. North pole, South Pole
C. South pole, center.
D. South pole, north pole.
hogy
Answers
Answer:
B. North pole, south pole
For the waveform of quality of sound _______ is taken vertically.
(a).Length
(b).Mass
(c). Pressure
(d). Velocity
Answers
(c) Pressure
Explanation:
Sound is a pressure wave, which means it consists of variations in air pressure that travel through the air as a wave. When we visualize the waveform of a sound, we are typically representing the variations in air pressure over time.
The vertical axis of the waveform represents the amplitude of the pressure variations. This means that as the amplitude of the waveform increases, the pressure variations increase, and vice versa. Since the pressure variations are what make up the sound wave, it is logical to take pressure as the vertical axis for visualizing the waveform.
plz will someone help me on 28 will give brainlest if right plus 100 points.
Answers
Question 1 (1 point)
All solid objects will deform when enough force is applied.
O True
False
Answers
Answer:
Solid objects will deform when adequate loads are applied to them; if the material is elastic, the object will return to its initial shape and size after removal. This is in contrast to plasticity, in which the object fails to do so and instead remains in its deformed state.
Explanation:
Answer:
It is false
Explanation:
because when it like a rolling ball it can deform no matter what unlesss you throw it at the ground really hard then it breaks but a soft or sometimes metal yeah it can deform but not all things solid deform.
2. An object is moving with an initial velocity of 12 m/s. It accelerates at a rate of 1.5 m/s^2 over a distance of 40 m. What is its new velocity?
Answers
Answer:
16.2 m/s
Explanation:
2ad=Vf^2-Vi^2
2 (1.5) (40) = Vf^2 -(12)^2
Vf= 16.2 m/s