A massless rod is fixed to a wall on one end. A cable is attached to the wall and the center of the rod. The cable makes an angle of 60° to the wall. If the maximum tension of the cable is 10 n, what is the maximum amount of weight that can hang from the end of the rod?.

if a rock is thrown straight up and falls, then its acceleration is the same as at the top of its path and it is equal to g, the gravitational acceleration.

If an object is moving straight vertically, the acceleration is constant along its trajectory, either it moves upward or downward. It is the velocity that changes.

If the object is moving upward, the velocity decreases, until at the top position, the velocity is equal to zero. The acceleration is constant and it is equal to g, the gravitational acceleration.

v(t) = vo - gt

Where:

v(t) is the velocity at time t

vo is the initial velocity

If the object is moving downward, the velocity increases. Again, the acceleration is constant and it is equal to g, the gravitational acceleration.

v(t) = vo + gt

This situation is depicted on the attaches picture.

Hence, if a rock is thrown straight up and falls, then its acceleration is the same as at the top of its path and it is equal to g, the gravitational acceleration.

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The crash in which the puck experience a stronger force is Crash 2 because the force on the purple paddle was stronger in this crash, so the force on the puck was also stronger. That is option B.

Force is defined as the pull or a push that is experienced by an object when it passes through a distance.

According to Newton's second law of motion that states that the force on an object is equal to its mass times its acceleration.

Therefore, force can also be defined as the product of mass and acceleration. That is, F = mass× acceleration.

This shows that force is directly proportional to mass. Therefore increase in the mass of an object will require more force to bring about its movement.

Therefore, the purple paddle has a greater mass with a stronger force leading to a stronger crash.

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Complete question's options:

The puck did not experience a force; only the paddles experienced a force in the crashes.

Crash 2; the force on the purple paddle was stronger in this crash, so the force on the puck was also stronger.

The diagram doesn’t tell you anything about the force on the puck. It only gives information about the force on the paddles.

The puck experienced the same force in both crashes. The paddles changed speed by the same amount in each crash, so the force on the puck was the same each time.

Answer:

−102 N

Explanation:

Hope this helps.

The work energy of speed is

1304.2 .

What is work energy?

work energy is 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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Proton has positive charge whereas neutron has no charge.

Proton is a type of subatomic particle that has a positive charge whereas Neutron is a type of subatomic particle that has no charge.

An atom that has lost one or more number of electrons is known as anion.

Isotopes is defined as an element that have the same number of protons i.e. atomic number but different numbers of neutrons i.e. mass number.

Electron is located outside the nucleus of an atom.

Fluorine is that atom which has 9 number of protons so its atomic number is 9.

Atomic number is related to the number of particles in the nucleus of an atom because in the nucleus, proton is present which shows the atomic number of an atom.

There are three parts of an atom i.e. proton, electron and neutron.

The size of electron is about 2 × 10⁻¹⁰ cm, The size of proton is about 0.84×10⁻¹³ cm and the size of neutron is about 1.7×10⁻¹⁵ meters

Electron has negative charge, proton has positive charge and neutron has no charge.

Yes, we can tell about the element if we know about the charge and the number of electrons in it because different atoms has particular number of electrons.

The diameter of a nucleus in scientific notation is 1.6 x 10⁻¹⁵.

The mass of hydrogen atom in whole number is 0.00000000000000000000000000167.

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It takes 13.22 m/s as the horizontal velocity with which the kid throw the doll and the doll takes 3.77 seconds to hit the ground.

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The application of scientific knowledge to benefit people is referred to as technology.

This is referred to as the different ways in which scientific knowledge is applied so as to improve the living conditions and to ensure the practical aims of individuals are achieved.

Technology such as the invention of vehicles made it easier for the movement of goods and people from one place to another.It helped reduce stress and ensured that emergency situations were promptly attended to. It employed scientific knowledge such as motion, inertia etc in the design and production of it.

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Robots use cameras, microphones, and other sensors as inputs; outputs can be as complex as exploring damaged nuclear reactors to as simple as taking a photo.

This is referred to as a machine which in most cases resembles a human being and it is involved in the execution of complex tasks in an automated manner such as lifting an object etc.It is usually controlled using a computer and employs the use of input devices such as cameras, microphones etc which ensures adequate and an easy execution of the tasks.

The output is also usually complex and the comparison is with that of a damaged nuclear reactors and this technological innovation has been useful in different facets of life due to the ease of performing activities it brings.

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The question is:

The functions of robots, cameras, microphones, and other sensors as inputs include:

The time it takes to travel 2.5cm from its mean position is 1.048 secs.

When there is no net force exerted on the body, it is in the mean position, sometimes referred to as the equilibrium position. An oscillating particle's phase: This shows how the particle is vibrating right now.

Given,

case(1), V1=4ms−1,y1=3m,

case(II), V2=3ms−1,y2=4m.

We know that, V=ω√( a^2−y^2 )

Case (I) 4=ω√(a^2−3^2)..(i)

Case(II) 3=ω√(a^2−4^2) …(ii)

Dividing (i) by (ii) , we get

16a^2−256=9a^2−81

After solving we get,

a=√25 =5m

Substituting it in (i), we get

ω= 4 / 4 = 1 rads^−1

When the particle is 2.5 meters from the extreme location, its distance from the mean position is given by the equation x = 5−2.5 = 2.5m.

Given that SHM must note the time from an extreme point, we will apply the relation:

x=acosωt.

2.5= 5cos 1 × t = 5 cos t

=> cost = 2.5/5 = 1/2 = cos ( [tex]\pi[/tex]/3 )

=> t =  [tex]\pi[/tex] / 3 = 22 /7 x 3 = 1.048 secs

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Answer:

9Ms correct answer ???????????//?

The resultant of the two displacements 2m at 30⁰ and 4m

at 120⁰ is 93.4 degree.

Displacement is the process of removing something from its usual location or position and substituting another object in that space.

Given: The sum of the displacements at 30 degrees and 120 degrees, respectively, is 2 meters.

Currently, there are two displacements, which

R1 = 2 cos 30 – 4 cos 60

    = 2 x √3 / 2 – 4 x  1 / 2

    =  √3 - 2

    =  1.732 - 2

   = - 0.268 m

R2 = 2 sin 30 + 4 sin 60

   = 2 x 1/2 + 4 x √3 / 2

   = 1 + 2 √3

  = 1 + 2 (1.732)

  =  1 + 3.464

   = 4.464 m

Now R = √R 1^2 + R2^2

           = √(-0.268)^2 + (4.464)^2

            = √0.0718 + 19.927

             = √19.999

             = 4.472 m

Now tan Q = R 2 / R1

                   = 4.464 / - 0.268

                     = - 16.656

          Or Q = - 86.6 degree

Now the outcome will be 180 – 86.6 = 93.4 degree

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The mass m2 for which block m1 moves up the plane at constant speed once it is set in motion is:

                      m2 = m1 (sinα + μkcosα)

The tension in the cord should be [tex]m_{2}[/tex]g so the that the hanging block over a frictionless pulley  can move at constant speed. This tension in the cord should the component of gravitational force and the force of friction.

Now

[tex]m_{2}[/tex]g = ([tex]m_{1}[/tex]g(sinα) +μk([tex]m_{1}[/tex]g)cosα)

[tex]m_{2}[/tex]g = [tex]m_{1}[/tex]g(sinα +μkcosα)

[tex]m_{2}[/tex]  = [tex]m_{1}[/tex] (sinα + μkcosα)

So the mass [tex]m_{2}[/tex]  for which m1 moves up the plane at constant speed once it is set in motion is:

                        m2 = m1 (sinα + μkcosα)

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Answer:

Explanation:

Young's modulus is the property of the material and it does not depend upon the length or the area of the cross-section.
Hence, The most correct answer will be option (iii) but youngs modulus also depends upon the nature of the matter if you have to answer multiple option then (iii) and (iv) both are correct. If you have to answer only single option then go for option (iii).

P waves are first to occur during an earthquake.

There are two types of earthquake waves based on the medium of travel.

1.Body waves- these waves travel through the solid part of earth crust.

2.Surface waves- these waves travel on earth's surface.

Body waves are divided into two types of waves i.e., P waves (primary) and S waves (secondary).

1.P waves (primary waves)- these are the fastest seismic waves which travel through the earth crust. P waves are the first waves to reach any location when an earthquake occurs.

2.S waves (Secondary waves)- these waves are second fastest waves after primary waves to reach a location when the earthquake occurs. S waves have half speed than that of P waves.

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The x component of vector a is 8.7 units, and its y component is -6.5 units. the magnitude result is 11 units.

"How much of a quantity" is how the word "magnitude" is defined. The magnitude, for instance, can be used to describe a comparison of the speeds of a car and a bicycle. Additionally, it can be used to describe how far an object has travelled or how much of an object is represented by its magnitude.

In physics, magnitude is referred to as an object's maximal size and direction. Both vector and scalar values use magnitude as a component factor. We know that scalar quantities are those that have magnitude and nothing else by definition. Contrarily, vector quantities are those with both magnitude and direction.

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According to Hooke's law, the applied force F equals the displacement or change in length x multiplied by a constant k, or F = kx. The value of k is determined not only by the elastic material, but also by its dimensions and shape.

When a physical force presses inward on an object, compression force causes it to become compacted (or compressive force). During this process, the relative positions of the object's atoms and molecules change.

F = P/A is the compressive strength formula, where F is the compressive strength (MPa) P=The maximum load (or load until failure) of the material (N) A=A cross section of the load-bearing material's area (mm2).

When the force of compression exceeds an object's ability to withstand it, buckling occurs.

The relationship between force and a measurable property of the objects involved is expressed by a force law. Some interactions can be described by force laws, while others cannot.

There are forces that do not change significantly from one instant to the next and are referred to as constant in time and constant in space.

Hence, Hooke's law states that the applied force F equals the displacement or length change x multiplied by a constant k, or F = kx. The value of k is determined not only by the type of elastic material in question, but also by the temperature.

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Force is the product of mass and acceleration, the magnitude of the net force exerted on the frog as it leaps is 3.6 N

Force can be simply defined as a pull or push. It is the product of mass and acceleration. And it is measured in Newton.

Given that a 1.20-kilogram frog is at rest on the bank surrounding a pond of water. As the frog leaps from the bank, the magnitude of the acceleration of the frog is 3.0 m/s² . The magnitude of the net force exerted on the frog as it leaps will be

F = ma

Where

Substitute the two parameters into the formula.

F = 1.2 × 3

F = 3.6 N

Therefore, the magnitude of the net force exerted on the frog as it leaps is 3.6 N

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A moving object's speed and direction vary over time at a certain rate, which is known as acceleration. The term "acceleration" refers to the change in speed of a point or object along a straight line. Due to the constant change in direction, motion on a circle accelerates even while the speed is constant.

Velocity is measured by a specific unit of time and from a specific point of view, and it describes the rate at which an object's orientation changes while it is moving.

The term "Distance Traveled" describes how far an object has travelled during a specified amount of time to get to its destination. Or The path that a body takes to travel a specific distance at a certain speed from one location to another is known as the distance travelled.

Using,

Avg. acceleration (a) = (final velocity - initial velocity(v_i)) / time (t)

time = 6500 / 389 = 16.71 sec

Now, the following equation can be used to determine distance from acceleration: D = v*t + 1/2*a*t². where an is the acceleration, t is the passage of time, and v is the velocity.

D = distance travelled = 54309 m

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Answer:

Option D is correct.

Explanation:

Atomic number of an element represent the number of protons present in its nucleus.

So, option D will be correct.

Answer: An atom of gold has 79 protons in its nucleus, or, in your case, C.

Explanation: The atomic number of an atom is the number of protons in the nucleus of an atom.

(I'm not entirely sure if this is clear enough, sorry!)

Thomas Young did the experiments with light , known as the double-slit experiments, to produce interference patterns that could only be explained by evoking a wave-like nature for light.

What is the double-slit experiment?

Thomas Young an English physicist, was the first to perform the double slit experiments. The experiment involved passing light through two tiny slits, thereby producing an interference pattern that could not be reconciled with the corpuscular view of light. Thus, the findings of Thomas Young supported the hypothesis that light consists of waves rather than particles.

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The required electric field is  9.58 × 10⁻² N/C

We know that the electric field, E is a product of resistivity and current density

∴ E=jρ ......(i)

Where ρ⇒ Resistivity

j ⇒ Current density

j = I/A

Now, as per the question,

Resistivity of copper, ρ = 1.68  × 10⁻⁸ Ωm

Current, I = 30 ampere

Diameter = 0.259 cm = 0.00259 m

So, Radius, r = Diameter/2

                = 1.295 × 10 ⁻⁴m

Now, Cross-sectional area, A = πr²

                                                 = 3.14 × (0.001295)²

                                                 = 5.26 × 10⁻⁶ m²

Putting the values in equation (i), we get:

[tex]E = 1.68 \times 10^{-8} \times\frac{30}{5.26 \times 10^{-6} }[/tex]

[tex]E= 9.58 \times 10^{-2} N/C[/tex]

Therefore, the required electric field is 9.58 × 10⁻² N/C

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So, the work required to lift the piano is 36 kJ from the ground.

An item needs to receive energy in order to move. Force is one way that energy may be transferred. Work or work done refers to the quantity of energy used by a force to move an item.

Transferring energy into an item to cause some displacement is what is referred to as work. The ability to perform tasks is referred to as energy. The work is consistently the same. Kinetic and potential energy are two examples of the various forms of energy.

The quantity of internal and mechanical energy that things contain fluctuates as a result of work. Energy is contributed to a system or an item when work is done on it. When a system or thing performs labour,

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The acceleration of an object is directly proportional to the force applied and inversely proportional to its mass.

If the same force is used to move all four masses, they will experience the same different accelerations since their masses differ.

According to Newton's second law, the greater the force used to throw the ball, the greater the ball's acceleration.

If forces, F, are equal, the acceleration of the wagons should be different.

If force, F, is the same for both cars, then you know the mass of Car A is less than the mass of Car B.

To move the wagons at the same speed you must use a much greater force, F on the bottom wagon because it has a greater overall mass.

According to Newton's second law of motion, the acceleration of an object is directly proportional to the applied force and inversely proportional to the mass of the object.

Therefore, the greater the mass of an object, the greater will be the force required to produce the acceleration as in an object of smaller mass.

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Answer:

d

Explanation:

The rate of acceleration is =11.25ms−2

The initial velocity is u=0ms−1

The final velocity is v=90ms−1

The time is t=8s

The acceleration is

a=v−ut= 90ms−2

The acceleration of an object is equal to the net force exerted on it divided by its mass, or a = F m, in accordance with Newton's second rule of motion. When an item's mass and the net force acting on it are known, the acceleration of that object can be calculated using this equation for acceleration.

The equation a = v/t denotes acceleration (a), which is the change in velocity (v) over the change in time (t). This enables you to calculate the change in velocity in metres per second squared.

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The most likely thing that happened in the sediment layer 5 is that A. The massive volcano erupted, causing global warming and lava flow, which in turn caused mass extinction.

The element iridium is only present in asteroids and other outer space objects. The amount of iridium present in various Earthly sediment layers is depicted an divided into 17 portions to illustrate the passage of time.

Iridium is a plentiful element in outer space, especially in asteroids. The Alvarez Hypothesis provides support for this response. The most potent nuclear bomb ever exploded only released a fraction of the energy that a large asteroid that struck the earth would have.

Global flames caused by this heat made the earth completely dark.

The creation of a dust cloud was the cause of this obscurity. The lack of sunshine also caused the vegetation to disappear, which in turn led to a global extinction.

In conclusion, the correct option is A.

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The object is speeding up at point D and next the speed picks up at point C.

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