TC
Displacement of a particle executing SHM is represented by Y = 0.08 sin 3nt +
metre. Then calculate-
a time period
(d) Time period
(
Minitial phase
wõisplacement
7
(c) Displacement from mean position at t=
36
sec.​

Answer:

the answer would be conductors

Answer:

Explanation:

1=3

Explanation:

sink and fill in space..........

The kinetic energy of the truck is approximately 1,964,180 Joules. The kinetic energy of the car is approximately 250,003 Joules.

To calculate the kinetic energy of each vehicle, use the formula:

Kinetic Energy (KE) = 1/2 × mass × velocity²

Given the mass and velocity of each vehicle, plug in the values and calculate the kinetic energy.

For the truck:

Mass = 6,000 kg

Velocity = 92 km/h

= 92,000 m/3600 s

≈ 25.56 m/s

Using the formula:

KE = 1/2 × 6,000 kg × (25.56 m/s)²

Calculating the result:

KE = 1/2 × 6,000 kg × 655.3936 m²/s²

KE ≈ 1,964,180 Joules

Therefore, the kinetic energy of the truck is approximately 1,964,180 Joules.

For the car:

Mass = 1,200 kg

Velocity = 100 km/h

= 100,000 m/3600 s

≈ 27.78 m/s

Using the formula:

KE = 1/2 × 1,200 kg × (27.78 m/s)²

Calculating the result:

KE = 1/2 × 1,200 kg × 771.6884 m²/s²

KE ≈ 250,003 Joules

Therefore, the kinetic energy of the car is approximately 250,003 Joules.

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The average force on the bullet as it moves down the barrel is 17,562 N.


To calculate the average force on the bullet, we need to use the equation F=ma, where F is force, m is mass, and a is acceleration. We can calculate acceleration using the equation a=v/t, where v is velocity and t is time. Since the bullet travels the length of the barrel in a negligible amount of time, we can assume that t is equal to zero.  

So, a=v/t becomes a=v/0, which is infinity. However, we know that acceleration cannot be infinity, so we need to use the formula a=(v^2)/2d, where d is the distance traveled.  

Substituting the given values, we get a=(528^2)/(2*0.64) = 222,750 m/s^2.  

Now, we can use F=ma to calculate the force: F=(0.00712 kg)(222750 m/s^2) = 17,562 N. Therefore, the average force on the bullet as it moves down the barrel is 17,562 N.

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The magnetic flux through the circular loop is calculated to be approximately 0.110 \(Tesla\)⋅\(meter^2.\)

To find the magnetic flux through the loop, we use the formula Φ = BAcos(θ), where Φ represents the magnetic flux, B is the magnetic field, A is the area of the loop, and θ is the angle between the magnetic field and the normal to the loop's plane.

In this case, the loop is circular, and its circumference is given as 1.60 m. The radius of the loop can be calculated using the formula r = C/(2π), where C is the circumference. Therefore, the radius of the loop is r = 1.60 m / (2π) ≈ 0.255 m.

The area of the loop is given by A = \(\pi r^2\), where r is the radius of the loop. Substituting the values, we have A = π\((0.255 m)^2\) ≈ \(0.205 m^2\).

Since the magnetic field is directed parallel to the plane of the loop, the angle θ between the magnetic field and the normal to the loop's plane is 0°, and cos(θ) = 1.

Now, we can calculate the magnetic flux Φ through the loop using Φ = BAcos(θ). Substituting the given values, we have Φ = (0.540 T)(0.205 \(m^2\))(1) ≈ 0.110 T.\(m^2\).

Therefore, the magnetic flux through the loop is approximately 0.110 \(Tesla\)⋅\(meter^2\).

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The complete question is : a current of 12.0 ma is maintained in a single circular loop of 1.60 m circumference. a magnetic field of 0.540 t is directed parallel to the plane of the loop , determine the magnetic flux through the loop.

Answer:

what?

Explanation:

Answer:

600m/s²

Explanation:

Given parameters:

Mass of car  = 600kg

Impulse  = 18000kgm/s

Time  = 0.05s

Unknown:

Acceleration  = ?

Solution:

To solve this problem, let us find the force that cause the impact first;

          Impulse  = Force x time

          Force  = \(\frac{impulse}{time}\)    = \(\frac{18000}{0.05}\)    = 360000N

So;

        Force   = mass x acceleration

         Acceleration  = \(\frac{Force }{mass}\)    = \(\frac{360000}{600}\)    

         Acceleration  = 600m/s²

The time for a boat to cross a river is dependent upon the Velocity of the boat. The current velocity does not affect the Time required for a boat to cross a river.

Velocity is the directional speed of an object in motion, as measured by a certain unit of time and seen from a particular point of reference. Velocity is a fundamental concept in kinematics, the branch of classical mechanics that deals with the motion of bodies.

In order to be defined, the physical vector quantity known as velocity needs to have both a magnitude and a direction.

There are several types of velocity, some of them are :

Hence, the boat is dependent upon the velocity, but velocity has not affected upon the time required for the boat to cross a river.

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This question can be solved using the concept of friction energy.

The thermal energy change is b "258.4 J".

The change in thermal energy will be equal to the friction energy produced during the motion of the box.

\(Change\ In\ Thermal\ Energy = E = Friction\ Energy\\\\E = \mu fd\)

where,

μ = coefficient of kinetic friction = 0.4

f = force applied = 38 N

d = distance traveled by the box = 17 m

Therefore,

\(E = (0.4)(38\ N)(17\ m)\)

E = 258.4 J

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The useful output power of the blender is 420 W.

To calculate the useful output power of the blender, we can use the equation:

P_output = P_input * efficiency

Where P_output is the useful output power, P_input is the total input power, and efficiency is the percentage of input power that is converted to useful output power.

Given that the total input power is 600 W and the blender is 70% efficient, we can substitute these values into the equation to find the useful output power:

P_output = 600 W * 0.70

P_output = 420 W

Therefore, the useful output power of the blender is 420 W.

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Answer:

exothermic reaction

Explanation:

Exothermic reactions are reactions or processes that release energy, usually in the form of heat or light. In an exothermic reaction, energy is released because the total energy of the products is less than the total energy of the reactants.

Question :-

Answer :-

Explanation :-

As per the provided information in the given question, we have been given that the Effort Arm of liver is 60 cm . Load Arm is given 4 cm . And, we have asked to calculate the Mechanical Advantage .

For calculating the Mechanical Advantage , we will use the Formula :-

\( \bigstar \: \: \boxed{ \sf { \: Mechanical \: Advantage \: = \: \dfrac{Effort \: Arm}{Load \: Arm} \: }} \\ \)

Therefore , by Substituting the given values in the above Formula :-

\( \dag \: \: \sf { \: Mechanical \: Advantage \: = \: \dfrac{Effort}{Load} \: } \\ \)

\( \longmapsto \: \: \sf{Mechanical \: Advantage \: = \: \dfrac{ \: 60 \: }{4} } \\ \)

\( \longmapsto \: \: \textbf {\textsf {Mechanical \: Advantage \: = \: 15 }} \)

\( \underline {\rule {180pt} {4pt}} \)

Answer:

Calculate the ideal Mechanical Advantage of a Lever in which Effort Arm is 60 cm and Load Arm is 4 cm .

Answer :-

Mechanical Advantage is 15 .

Explanation :-

As per the provided information in the given question, we have been given that the Effort Arm of liver is 60 cm . Load Arm is given 4 cm . And, we have asked to calculate the Mechanical Advantage .

For calculating the Mechanical Advantage , we will use the Formula :-

\begin{gathered} \bigstar \: \: \boxed{ \sf { \: Mechanical \: Advantage \: = \: \dfrac{Effort \: Arm}{Load \: Arm} \: }} \\ \end{gathered}

★

MechanicalAdvantage=

LoadArm

EffortArm

Therefore , by Substituting the given values in the above Formula :-

\begin{gathered} \dag \: \: \sf { \: Mechanical \: Advantage \: = \: \dfrac{Effort}{Load} \: } \\ \end{gathered}

†MechanicalAdvantage=

Load

Effort

\begin{gathered} \longmapsto \: \: \sf{Mechanical \: Advantage \: = \: \dfrac{ \: 60 \: }{4} } \\ \end{gathered}

⟼MechanicalAdvantage=

4

60

\longmapsto \: \: \textbf {\textsf {Mechanical \: Advantage \: = \: 15 }}⟼Mechanical Advantage = 15

\underline {\rule {180pt} {4pt}}

Answer:

the final velocity of the skater after throwing the snowball is 3.17 m/s.

Explanation:

Given;

mass of the ice skater, m₁ = 72 kg

initial velocity of the ice skater, u₁ = 3.1 m/s

mass of the snowball, m₂ = 0.21 kg

initial speed of the snowball, u₂ = 28.0 m/s

Let the final velocity of the skater after throwing the snowball = v

Apply the principle of conservation of linear momentum to determine v;

m₁u₁ + m₂u₂ = v(m₁ + m₂)

72 x 3.1   +  0.21 x 28  = v(72 + 0.21)

229.08 = v(72.21)

v = 229.08 / 72.21

v = 3.17 m/s

Therefore, the final velocity of the skater after throwing the snowball is 3.17 m/s.

Answer:

It is because gasses, liquids, and plasma are always changing shape they are named and classified as ‘fluid’.

\(\\ \sf\longmapsto 35\%\:of 11\)

\(\\ \sf\longmapsto 35\%\times 11\)

\(\\ \sf\longmapsto \dfrac{35}{100}\times 11\)

\(\\ \sf\longmapsto \dfrac{385}{100}\)

\(\\ \sf\longmapsto 3.85KJ\)

\(\\ \sf\longmapsto 3850J\)

first. this is only worth 38 points second it's B

Answer:

Explanation:

The position of the particle at t = 10 seconds is approximately 〈1.491, 30〉 meters after all velocity and acceleration calculations.

There is a particle moving in the xy-plane, whose position can be represented as 〈x(t),y(t)〉=〈sin(2t),t^2−t〉 for 0 ≤ t ≤ 8 seconds. We can find its velocity and acceleration vectors using this position vector.

At t = 8 seconds, the particle starts moving in a straight line with the same velocity vector as it had at that time. Therefore, for t ≥ 8 seconds, we can find the position vector of the particle.

To find the position of the particle at t = 10 seconds, we need to substitute t = 10 in the equation of position vector for t ≥ 8 seconds. The position of the particle at t = 10 seconds is approximately 〈1.491, 30〉 meters.

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Kenkey and fish are digested in the stomach and small intestine, with the help of digestive enzymes.

The digestion process of kenkey and fish begins in the mouth where the food is chewed and mixed with saliva.

The food then travels down the esophagus to the stomach where it is mixed with stomach acid and digestive enzymes. The stomach churns and breaks down the food into smaller pieces, allowing the enzymes to further break down the carbohydrates, proteins, and fats.

The partially digested food then enters the small intestine where additional digestive enzymes from the pancreas and liver break down the remaining nutrients.

The nutrients are then absorbed through the walls of the small intestine and transported to the rest of the body through the bloodstream. Any waste products that are not absorbed by the body are eliminated as stool.

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The pressure system that brings cloudy and stormy weather is a low-pressure system.

Low pressure systems are characterized by an area of low atmospheric pressure, which causes air to rise and create clouds. As the air rises, it cools, and moisture condenses, forming clouds and rain. This cycle repeats itself until the low-pressure system passes.

Low-pressure systems bring cloudy and stormy weather as they move through an area, as the air is unstable, and the clouds and rain form more quickly. Low-pressure systems can cause more severe weather when they are accompanied by strong winds.

When winds are strong, the pressure difference between the low pressure system and surrounding areas is greater, and the winds can help to push the system along, causing the formation of thunderstorms, heavy rains, and strong winds.

Low-pressure systems often form when warm air from the tropics meets cold air from the poles. This causes a pressure difference and the formation of low-pressure systems. Low-pressure systems can also be caused by the flow of air along the Earth's surface, and by the heating of the Earth's surface.

In summary, a low-pressure system is an area of low atmospheric pressure, which brings cloudy and stormy weather as the air rises and moisture condenses. Low-pressure systems can also bring more severe weather when accompanied by strong winds.

Low-pressure systems often form when warm air from the tropics meets cold air from the poles, from the flow of air along the Earth's surface, or from the heating of the Earth's surface.

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v ≈ 2.215 m/s, The maximum linear speed at which the penny can travel without slipping is given by the formula v = Rω, where R is the distance from the center of the turntable to the penny (0.10 m) and ω is the angular speed of the turntable.

The penny will start to slip when the centrifugal force (mRω^2) exceeds the force of static friction (μs mg), where m is the mass of the penny, g is the acceleration due to gravity, and μs is the coefficient of static friction (0.50).

Setting these two forces equal to each other and solving for ω, we get:

mRω^2 = μs mg
ω^2 = μs g / R
ω = sqrt(μs g / R)

Substituting the given values, we get:

ω = sqrt(0.50 x 9.81 / 0.10) = 3.13 rad/s

Finally, we can calculate the maximum linear speed using the formula v = Rω:

v = 0.10 x 3.13 = 0.313 m/s

Therefore, the answer is A) 0.49 m/s (the closest option to 0.313 m/s).
To find the maximum linear speed at which the penny can travel without slipping, we can use the formula for the centripetal force acting on the penny:

Fc = μ * m * g

where Fc is the centripetal force, μ is the coefficient of static friction, m is the mass of the penny, and g is the acceleration due to gravity (approximately 9.81 m/s²).

Since we want to find the linear speed (v), we can relate centripetal force to linear speed using the formula:

Fc = m * v² / r

where r is the distance from the center of the turntable (0.10 m).

Combining the two equations, we get:

μ * m * g = m * v² / r

We can simplify this equation by canceling out the mass (m):

μ * g = v² / r

Now, we can plug in the given values for the coefficient of static friction (μ = 0.50) and the distance from the center (r = 0.10 m):

0.50 * 9.81 = v² / 0.10

Solve for v:

v² = 0.50 * 9.81 * 0.10
v² = 4.905
v = √4.905
v ≈ 2.215 m/s

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Answer:

Relative humidity is a measure of the percentage of water vapor in the air in a particular area

Answer: relative humidity

Explanation:

Answer:

(a) zero

lmk if im wrong :)

Answer:

zero

Explanation:

As the radius remains same every charge gets neutralized .

Hence net charge is zero

The distance between the main pulley centres, is 100m. The power of gravity, the mass flow rate of crushed stone per hour is 120 ton. As the conveyor belt is lifting the material to a height of 12 m.

1.1 Power against gravity:

\(P = mgh\)

\(P = 33.33 * 9.81 * 12\)

\(P = 3898.3 Watt\)

Answer:\(3898.3 Watt or 3.9 kW\)

1.2 Power to overcome friction:

\(P = 0.35 * 3898.3\)

\(P = 1364.4 Watt\)

Answer:\(1364.4 Watt or 1.4 kW\)

1.3 Power of the motor:

\(P = Total power / efficiency\)

\(P = (3898.3 + 1364.4) / 0.80\)

\(P = 6055.9 Watt\)

Answer: \(6055.9 Watt or 6.06 kW\)

1.4 Belt tensions:

Tension at the tight side:

\(T₁ = (P₁ + P₂) / (2v)\)

\(P₁ - P₂ = (2 * F * Sin θ) / (cos(α) + cos(β))\)

\(F = 33.33 * 9.81 = 327.2 N\)

\(Sin θ = Sin 112° = 0.967\)

\(Cos(α) = (cos(45)) / 0.25 = 1.414\)

\(Cos(β) = (cos(225)) / 0.25 = -1.414\)

\(P₁ - P₂ = (2 * 327.2 * 0.967) / (1.414 - (-1.414))\)

\(T₁ = (P₁ + P₂) / (2v)\)

\(T₁ = (886.9 + 0) / (2 * 1.5)\)

\(T₁ = 295.6 N/m\)

Tension at the slack side:

\(T₂ = T₁ * e^(μθ)\)

\(μ = 0.25\)

θ = 225°

\(T₂ = 295.6 * e^(0.25 * 225 * π/180)\)

\(T₂ = 744.2 N/m\)

Answer: \(T₁ = 295.6 N/m, T₂ = 744.2 N/m\)

1.5 Number of plies:

Allowable tension per

meter width = 2.3 kN/m

Tension per meter width \((T) = (T₁ + T₂) / 2\)

\(T = (295.6 + 744.2) / 2\)

\(T = 519.9 N/m\)

\(No. of plies = T / Allowable tension per ply widthNo. of plies = 519.9 / 2300\)

\(No. of plies = 0.23 plies = 1 ply\)

Answer: \(Number of plies = 1 ply\).

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A worked example of a similar question. Resolution of Forces:F1 = 20kNF2 = 30kNF3 = 40kN

To determine the resultant force and specify where it acts on the beam measured from a, given the following diagram, the following steps must be followed; Resolve all the forces into their horizontal and vertical components.

Mark all the forces as tensile or compressive forces.

To determine the resultant force, calculate the horizontal and vertical forces separately using the formula: Fx= ∑Fx and Fy = ∑FyCalculate the magnitude of the resultant force using the Pythagorean theorem: √(Fx^2 + Fy^2)Specify where the resultant force acts on the beam measured from a by calculating the moment of the force about the point a.Finally, draw a free-body diagram of the beam, indicating the point of action of the resultant force

.Here is a worked example of a similar question. Resolution of Forces:F1 = 20kNF2 = 30kNF3 = 40kN

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(A) The two additional forces that act on the sled as it travels from the top of the hill to the bottom are friction force and weight of the children.

(B) The force of friction is opposing the motion while the weight of the children is assisting the downward motion.

The forces that act on the sled as it travels from the top of the hill to the bottom with either aid the downward motion or oppose the downward motion.

The forces acting on the sled include the following;

The weight of the children is acting downwards and it will increase the motion downwards since there in the same direction.

The force of friction between the surface of the sled and the hill will oppose the downward motion of the children as the father exerts the downward force.

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Equilibrium triangle diagram Equilibrium triangle diagram is a graphical representation of the equilibrium concentration of the solute (in this case, A) in the two liquid phases (feed and solvent) and the concentration of solute in the output stream.The solute (A) concentration in water (B) is 50%, and it is extracted using S as a solvent in a countercurrent multistage extractor, reducing the A concentration to 5% in the output stream.Feed and solvent are equal (0.025 kg/h).The required number of stages and the amount and concentration of the extract (V1 current) leaving the first stage using equilateral triangle diagrams are:

Step 1:

Step 2:

Step 3:

Step 4:

Step 6:

Step 7:

Water is a compound that is essential for all life forms known hitherto on Earth, but not on other planets. Its chemical formula is H₂O, each molecule containing one oxygen and two hydrogen atoms connected by covalent bonds. Water covers almost 71% of the Earth's surface.

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Answer:

8361.063 J

Explanation:

Answer:

Explanation:

For a fixed mass of an ideal gas kept at a fixed temperature, pressure and volume are inversely proportional. Or boyle's law is a gas, law, starting that the pressure and volume of a gas have an inverse relationship. If volume encreases, then pressure decreases and vice versa,when the temperature is held constant.

Answer:

No, gravitational force is a force having infinite range. It only reduces to an extent that astronauts cannot feel it.

Explanation: