Assuming block 2 moves down, the acceleration of block 2 is [(m1 - m2)g - (m1 - m2)μgR/I] / (m1 + m2). To solve this problem, we will use Newton's second law of motion, F = ma, and the conservation of energy principle. Let's assume that block 2 moves down with an acceleration of a.
The force of gravity acting on block 2 is m2g, where g is the acceleration due to gravity. The tension in the string is the same on both sides and can be calculated as T = m1a + m2g. Since the string is unstretchable, the tension is also equal to the force required to rotate the pulley, which is (T * R)/I, where I is the moment of inertia of the pulley.
Now, let's consider the forces acting on block 1. The force of gravity acting on block 1 is m1g, and the force of friction opposing the motion is μm1g. The net force acting on block 1 is (m1g - μm1g) = m1g(1 - μ).
This net force is responsible for the acceleration of the system.Using the conservation of energy principle, we can equate the work done by the net force to the change in potential energy of the system.
The potential energy of the system is given by m1gh, where h is the height difference between the two blocks. The work done by the net force is (m1g(1 - μ)) * h. Therefore, we have:
(m1g(1 - μ)) * h = (m1a + m2g) * h - (T * R)/I
Substituting the values of T and a, we get:
(m1g(1 - μ)) * h = (m1 + m2) * g * h - ((m1a + m2g) * R)/I
Solving for a, we get:
a = [(m1 - m2)g - (m1 - m2)μgR/I] / (m1 + m2)
Therefore, the acceleration of block 2 is [(m1 - m2)g - (m1 - m2)μgR/I] / (m1 + m2).
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The acceleration of block 2 in this scenario can be determined using the principles of Newton's second law and the concept of inertia. Since there is no slipping of the string on the pulley and no friction on the axle, the tension force in the string remains constant.
The force of gravity acting on block 1 can be resolved into two components, one parallel to the inclined plane and the other perpendicular. The parallel component will produce a force of friction, which will oppose the motion of block 1 and cause it to accelerate down the plane. As block 1 accelerates, it will pull on the string, causing block 2 to move down as well. The acceleration of block 2 can be calculated by considering the net force acting on it, which is equal to the tension force minus the force of gravity acting on it. The moment of inertia of the pulley about its center also comes into play, as it will resist any changes in its motion due to the string's tension force. Overall, the acceleration of block 2 can be expressed as (m₁ - m₂sin²θ - μm₂cosθ)g / (m₁ + m₂ + I/R²), where θ is the angle of the inclined plane.
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How can you use the period of a wave to find the frequency?
Explanation:
Frequency is the number of occurrences of a repeating event per unit of time.
It is also referred to as temporal frequency, which emphasizes the contrast to spatial frequency and angular frequency.
The period is the duration of time of one cycle in a repeating event, so the period is the reciprocal of the frequency.
Relationship between Period and frequency is as under :
The frequency of a wave describes the number of complete cycles which are completed during a given period of time.
As such, frequency is a rate quantity which describes the rate of oscillations or vibrations or cycles or waves on a per second basis.
A common unit of frequency is the Hertz, abbreviated as Hz.
Frequency
=
1
Period
f = c / λ = wave speed c (m/s) / wavelength λ (m).
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A shopping bag can provide a force of 65 N before breaking. A shopper puts 5 kg of groceries in the bag. If the shopper tries to lift the bag with an upward acceleration of 2 m/s/s, will the bag break?
Answer:
the bag DOES NOT BREAK, F = 59 N
Explanation:
For this exercise, let's use Newton's second law, let's set a reference frame with the positive direction up
F -W = m a
the mass of the groceries is m = 5 kg, the weight is
W = m g
indicate the acceleration a = 2 m / s², let's find the force
F = mg + ma
F = m (g + a)
let's calculate
F = 5 (9.8 + 2)
F = 59 N
F <65 N
as the force with which it pulls the bag less than the breaking force the bag DOES NOT BREAK
Two charged spheres 10 cm apart attract each other with a force of 3.0 x 10^-6 N. What electrostatic force will result if both charges are doubled and the distance remains the same?
Answer:
The electrostatic force that will result if both charges are doubled and the distance remains the same is 6.0 * 10⁻⁶ N
Explanation:
Coulomb's law of electricity states that the magnitude of the force of attraction or repulsion between two charges is directly proportional to the product of their charges and inversely proportional to the square of the distance of of separation between them.
In formula; F = KQ₁Q₂/d²
Using the formula for electrostatic force of attraction above to determine the force of between the two charged spheres
Let the charges be Q₁ and Q₂; distance of separation be d, K is a constant
Initially, F₁ = KQ₁Q₂/d² ---- (1)
F₁ = 3.0 * 10⁻⁶ N
when the charges are doubled, Q₁ = 2Q₁; Q₂ = 2Q₂; K and d remains constant
F₂ = 2KQ₁Q₂/d² ----(2)
Dividing equation (2) by (1) to find the ratio of their forces
F₂/F₁ = (2KQ₁Q₂/d²) / KQ₁Q₂/d²
F₂/F₁ = 2
Thus, F₂ is twice F₁.
Since F₁ = 3.0 * 10⁻⁶ N; F₂ = 2 * 3.0 * 10⁻⁶ N
F₂ = 6.0 * 10⁻⁶ N
Therefore, the electrostatic force that will result if both charges are doubled and the distance remains the same is 6.0 * 10⁻⁶ N
Electrostatic force is a force imposed by one charge on another as a result of the field.Electrostatic force will be 12.0 x 10⁻⁶ N if both charges are doubled and the distance remains the same.
What is the electrostatic force?It is a force imposed by one charge on another as a result of the field.
The electrostatic force produced by one line charge on another line charge separated by distance d is determined by the charge potency of each charge as well as the separation distance between them.
Hence the electrostatic force is given by
[tex]\rm F=\frac{Kq_1q_2}{d^2}[/tex]
The given data in the question ,
d is the distance between the charge
F₁ is the electric force for case 1= 3.0 x 10⁻⁶ N
F₂ is the electric force for case 2= ?
Conditions for case 2;
(q₁=2q₁),(q₂=2q₂),d₂=d₁
For case 1,
[tex]\rm F_1=\frac{Kq_1q_2}{d_1^2}[/tex]
For case 2,
[tex]\rm F_2=\frac{K(2q_1)(2q_2)}{d_1^2}[/tex]
[tex]\rm F_2=4\times\frac{Kq_1q_2}{d_1^2}\\\\\rm F_2=4F_1[/tex]
[tex]\rm F_2=4\times\frac{Kq_1q_2}{d_1^2}\\\\\rm F_2=4\times3.0\times 10^{-6}\\\\\rm F_2=12.0\times10^{-6}[/tex]
Hence electrostatic force will be 12.0 x 10⁻⁶ N. if both charges are doubled and the distance remains the same.
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Two examples of energy transformations are shown. At left, a floor lamp plugged into a wall electrical outlet. At right, a wood fire. The energy transformations are similar because they both involve transformations that begin with chemical energy. begin with electrical energy. result in radiant energy. result in mechanical energy.
Answer: C, result in radiant energy
Explanation:
Answer:
The answer is C; result in radiant energy.
Explanation:
Just took the test and got it right ;)
Storm water picks up pollutants off of these types of surfaces because they are not able to absorb rainfall
Answer:
True.
Explanation:
Rainwater cannot be absorbed by some surfaces. This prevents these water from infiltrating and traveling through this area, taking with it the potential pollutants that it may present, such as sediment, remains of fertilizers, bacteria, animal waste, pesticides, metals, among others. This causes a process that we can call Diffuse Pollution and can cover large areas and even bodies of water.
A cat pushes a 0.25-kg toy with a net force of 8n. According to Newton's second law of motion, what is the acceleration of the ball?
Answer:
a = 32 m/s sq
Explanation:
El Burj Khalifa es la torre más alta de Dubai y mide 821 m. Si se deja caer una moneda desde lo alto de la torre, ¿cuál es la magnitud de la velocidad con la que choca con el suelo?
Answer:
Vf = 126,85 m/s
Explanation:
En este caso, vamos a asumir que la velocidad inicial de la moneda cuando se deja caer es cero, puesto que no nos lo indican. Al ser la velocidad inicial cero, lo unico que influye en la velocidad de la moneda es la gravedad y la altura, por ende, la siguiente formula nos ayudará a calcularla:
Vf² = Vo² - 2gh (1)
Pero como la velocidad inicial es cero, y si también asumimos que la dirección de bajada será nuestro eje positivo, entonces:
Vf² = 2gh (2)
Ahora solo nos queda, reemplazar los valores de altura que es 821 m, y la aceleración de gravedad que es 9.8 m/s² y resolvemos la velocidad:
Vf² = 2 * 9,8 * 821
Vf = √16091,6
Vf = 126,85 m/sEsta debería ser la velocidad con que llega al suelo.
Exitos
La magnitud de la velocidad con la que choca con el suelo es aproximadamente 126.898 metros por segundo.
Si despreciamos los efectos de la viscosidad del aire y la aceleración de Coriolis, entonces el movimiento de la moneda se describe por el movimiento de caída libre, es decir, un movimiento uniforme acelerado debido a la gravedad terrestre. La velocidad final de la moneda es determinada por la siguiente ecuación cinemática:
[tex]v = \sqrt{v_{o}^{2}+2\cdot a\cdot h}[/tex] (1)
Donde:
[tex]v_{o}[/tex] - Velocidad inicial, en metros por segundo.[tex]a[/tex] - Aceleración, en metros por segundo al cuadrado.[tex]h[/tex] - Altura, en metros.[tex]v[/tex] - Velocidad final, en metros por segundo.Si sabemos que [tex]v_{o} = 0\,\frac{m}{s}[/tex], [tex]a = 9.807\,\frac{m}{s^{2}}[/tex] y [tex]h = 821\,m[/tex], entonces la velocidad final de la moneda es:
[tex]v = \sqrt{\left(0\,\frac{m}{s} \right)^{2}+2\cdot \left(9.807\,\frac{m}{s^{2}} \right)\cdot (821\,m)}[/tex]
[tex]v\approx 126.898\,\frac{m}{s}[/tex]
La magnitud de la velocidad con la que choca con el suelo es aproximadamente 126.898 metros por segundo.
Invitamos cordialmente a ver esta pregunta sobre el movimiento en caída libre: https://brainly.com/question/16899214
How does energy in the form of light photon travel through the many layers of the Sun?
Answer:Particles of light form from atoms undergoing nuclear fusion in the sun's innermost layer known as the core. The light then flows through the sun's interior for millennia, slowly bubbling up like water in a boiling pot. ... The view starts in the core of the sun where atoms fuse together to create light and energy.
Explanation: hope i helped
Light travels through the layers of the sun as particles called photons.
The sun is the principal source of energy in the universe. Energy from the sun is trapped by green plants and used in the process of photosynthesis.
Light travels through the layers of the sun as particles. These particles of light are called photons and they pass through the various layers of the sun.
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Oscillations of electricity and magnetism create ________________________ waves, which include visible light waves.
Explanation:
radio waves, which include visible light waves.
explain the following observation referring to the appropriate process of heat transfer in each case
two cups of tea are poured at the same time . they are left for 10 minutes . one of the cups has a metal teaspoon left in it . the tea in this Cup is cooler than the tea in the other Cup at the end of the 10 minute period
Please answer correctly
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What is the speed of a person travels 1 meters in 4 seconds
Answer:
4 m/s
Explanation:
multiply m ang s para makuha yung speed ng isng object ....
An object with a mass 4.0 kg has a momentum of 64 kgm/s . How fast is the object traveling ?
Answer:
The object will travel at the speed of 16 m/s.
Explanation:
Given
Mass m = 4.0 kg Momentum p = 64 kgm/sTo determine
How fast is the object traveling?
Important Tip:
The product of the mass and velocity of an object — momentum.
Using the formula
[tex]p = mv[/tex]
where
m = massv = velcityp = momentumThus, in order to determine the speed of the object, all we need to do is to substitute p = 64 and m = 4 in the formula
[tex]p = mv[/tex]
[tex]64\:=\:4\times v[/tex]
switch the equation
[tex]\:4\times \:v\:=64[/tex]
divide both sides by 4
[tex]\frac{4v}{4}=\frac{64}{4}[/tex]
simplify
[tex]v=16[/tex] m/s
Therefore, the object will travel at the speed of 16 m/s.
Can someone help me find which one is a sedimentary rock
An airliner flys 950 miles from S.B. to Denver at 500 mph. How long does it take to fly to
Denver? time = distance / speed
Answer:
114 minutes
Explanation:
hope this helps. I just divided 950 by 500 that is 1.9 and 1.9 in minutes is 114. gl
Which one illustrates it?
A) III
B) II
C) I
D) IV
Circuit diagram number II
I) R=(4*8)/(4+8)=8/3 Ω
II) R=4+((4*4)/(4+4))= 6 Ω
III) R= 4/3 Ω
IV) the same as I: 8/3 Ω
A piece of gym equipment states that the maximum load it can hold is 300 kg. Why do you think it is important not to go over this limit?
Answer:
The weight limit of 300kg is the maximum amount the machine can handle so it can be dangerous to exceed the maximum load.
Which type of coolant(s) usually is (are) used to remove heat from a nuclear reactor core?
a.
water only
c.
liquid sodium or water
b.
liquid sodium only
d.
CFCs
Answer:
(B). Liquid sodium or water
Explanation:
I don't know how to explain this But hope it right!
If I'm wrong I'm sorry
If I'm right Thank you and (brainliest plz)
As wavelength decreases, frequency and energy _________________;
a) increase b) decreases c) remain the same
Answer:
Increase
Explanation:
The best way for me to visualize the relation between wavelength, frequency, and energy is to think about actual ocean waves. Wavelength is a measure of the distance between two equivalent points on consecutive waves (think wave peak to wave peak). Lets say you are building a sand castle and want to see how many waves hit your castle over a period of 10 seconds. If the distance between each wave is 10 ft and the wave is traveling at 1 foot per second then you will only have one wave hit your castle. If the wavelength is 1/2 that (5 ft) then you will have 2 waves hit your castle in the same amount of time. This is the same concept behind waves in physics. The smaller the distance between each wave, the more waves and therefore more energy that will be delivered.
What is the velocity of a 0.8kg ball that has a momentum of 3 kg*m/s?
The density of an object can be found using
(A) Pascal's Law
(B)Hooke's Law
(C)Archimedes' Principle
(D)Principle of floatation
The temperature in deep space is thought to be about 3K.what is 3K in degrees Celsius and in degrees Fahrenheit?
Answer:
c
Explanation:
bnbbbn nbnbnb bbbb bnbb
HELP ME PLS
when your sence becomes sharper what is that
a.respitory system
b.circulatery system
c.nervouse system
d.muskeler and skeletal system
Answer:
it will option C ,hope it helps
Answer:
nervous system is your answer
What is a Sport car transformation
Answer:
when a car transforms...
Explanation:
Explanation:
Vivimos en un puente en lo que el diseño de coches se refiere, consecuencia de la gran disrupción de la automación que ocurriría en los próximos años.
The components of a vector are:
A:Each equal to half the magnitude of the vector.
B:Independent of the orientation of the vector.
C:Perpendicular
D:None of the previous
If the mass of a 1.8 g paperclip was able to be completely converted to energy, how much energy would you obtain?
Answer:
[tex]E=1.62\times 10^{14}\ J[/tex]
Explanation:
Given that,
The mass of the paperclip, m = 1.8 g = 0.0018 kg
We need to find the energy obtained. The relation between mass and energy is given by :
[tex]E=mc^2[/tex]
Where
c is the speed of light
So,
[tex]E=0.0018\times (3\times 10^8)^2\\\\E=1.62\times 10^{14}\ J[/tex]
So, the energy obtained is [tex]1.62\times 10^{14}\ J[/tex].
An electromagnetic wave Group of answer choices a.Never moves b.Can travel through empty space or matter. c. Can travel only through empty space. d. Cannot travel through matter
Answer:
b
Explanation:
because electromagnetic waves can travel in vacuum as they don't require particles to transfer energy from one point to another. they can also travel through mediums such as the wall or air, if not how do radio waves transfer energy in this hyper advanced world? through the air
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If Jay pushes on a box with a force of 20 N to the right and Bradley pushes on a box with a force of 15 N to the left, what is the net force on the box?
Answer:
Net force = 5N
Explanation:
Jay = 20N to the right
Bradley = 15N to the left
To find the net force;
Since the forces are being applied to the box in opposite direction i.e acting in opposite direction, we would subtract them.
Net force = 20 - 15
Net force = 5N
Therefore, the net force on the box is 5 Newton.
How many straight edges does a cube have
Answer:
12
Explanation:
All types of electromagnetic radiation travel at the speed of light. True or False?
Answer:
True
Explanation:
Generally speaking, we say that light travels in waves, and all electromagnetic radiation travels at the same speed which is about 3.0 * 108 meters per second through a vacuum.
Answer:
absolutely true
Explanation:
as it travels in a speed of 30×108 m per second