A crane lifts a 6.500 N weight 10 m in 180 seconds. What power is used?

The question involves a block sliding down a 30-degree incline, where the forces of gravity, normal force, and friction are in effect. The acceleration of the block can be determined by taking into account all the forces acting on it. This is a topic in Physics, typically studied at the high school level.

In the described scenario, a block is sliding down a rough ramp inclined at 30 degrees. This topic falls under the area of Physics, specifically in the study of friction and forces. The forces at play in this situation are gravity, normal force, and frictional force. When a block slides down an inclined plane, the force of gravity is divided into two components. The component parallel to the ramp, mg sin θ, acts downwards and is opposed by the force of friction.

The frictional force is determined by multiplying the normal force by the coefficient of friction (μ). This could be represented as F = μN, where F is the frictional slide and N is the normal force. The block's acceleration depends on the net force acting on it, considering all the forces at play.

In this particular situation, where there's a known coefficient of friction of 0.20 and given gravitational and normal forces are 40 N, you can use these values, along with the angle of the ramp, to find the acceleration of the block using formulae from physics.

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A block sliding down a rough incline experiences forces from gravity, friction, and normal force. Friction opposes the motion, reducing the acceleration the block would have on a frictionless slope. The acceleration can be calculated from the incline angle and friction coefficient.

The question deals with the physics of a block sliding down a rough, incline plane. When a block is sliding down an inclined plane, there are several forces at play. The gravitational force pulls the block downwards, the normal force counters this directly perpendicular to the slope, and friction acts to oppose the motion of the block. The coefficient of friction between the block and the incline plays a crucial role in the block's acceleration down the incline.

The acceleration of the block can be calculated using the formula a = g sin θ, where g is acceleration due to gravity and θ is the incline angle. However, this applies when there's negligible friction. If friction is involved, it reduces the acceleration from this value. The acceleration on an incline where there is friction can be calculated with the equation ax = g sin θ - μk g cos θ, where μk is the coefficient of kinetic friction.

Using the equation above, you can calculate acceleration if you are given the friction coefficient and the incline's angle. However, if you're given the acceleration and either the incline angle or friction coefficient, you can rearrange the equation to calculate the missing variable, helping you gain more understanding about the impacts of the slope and friction.

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If the continental crust were thinner, it would depress the mantle less because of the reduced mass above the mantle, leading to less displacement below.

If the continental crust were thinner than its average thickness of 40 km, it would depress the mantle less than it does now. This is because the Earth's crust and mantle are in a state of isostatic equilibrium, which is similar to floating objects on a fluid, where less material above results in less displacement below. The continental crust is thicker and less dense compared to the oceanic crust, which allows it to float higher above the mantle. When the crust is loaded with additional weight, such as through mountain building or glaciation, it depresses further into the mantle due to the added mass. Conversely, if the continental crust were thinner, there would be less mass pushing down on the mantle, leading to a reduced depression of the crust into the mantle.

Answer:

The total mechanical energy is equal to P.E+K.E.

(a) is correct.

Explanation:

Potential energy :

Potential energy is the store energy and It is represents by U.

It is defined as:

[tex]P.E= U =mgh[/tex]

Where, m = mass of the object

g = acceleration due to gravity

h =height

Kinetic energy :

Kinetic energy is defined as the energy of motion. It represents by K.

It is defined as:

[tex]K.E = \dfrac{1}{2}mv^2[/tex]

Where, m = mass of the object

v = velocity of the object

According to law of conservation,

The total mechanical energy is the sum of the potential energy and kinetic energy is constant in time.

[tex]T = P.E+K.E[/tex]

Hence, The total mechanical energy is equal to P.E+K.E.

This answer is false!

There are various uses of electromagnets in modern technology.

The first and very recent use of electromagnet is magnetic levitation train. Here strong electromagnets are used by which the magnetic levitation of train and its propulsion become possible.

The second use of electromagnet is lifting heavy plates of magnetic metals from shore to the ship.

The electromagnets are also used in various kinds of electric devices like speakers,generators,motors and hard disk drivers etc. In electric bells,the electromagnetic coils are used which helps in striking the bell.

The electromagnets are also used in casa of cyclotron. In case of cyclotron,strong electromagnetic dees are present which plays a crucial role in accelerating the charged particle.

Answer: Away from the observer, faster than the speed of sound.

Based on the pattern of sound waves, the direction of the car is away from the observer for the wave fronts have spaced out and the speed of the car is faster than the sound. This happen because a lower frequency of wave peaks is observe as the source of the sound travels away from the observer.

Answer:

The answer is C

Explanation:

The form of communication that doesn't require personal contact and capable of getting to a large audience is referred to as mass media.

This is the process in which information is transferred from one person to another.

Mass media which comprises of newspapers, internet etc reach large audiences without personal contact and is the commonest means in these present day.

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The angle of incidence can be solved by using Snell's law of refraction as follows: θ1 = arcsin[(n2*sin(θ2)) / n1], which when calculating, provides the angle of incidence.

The problem presented in the question can be solved using Snell's Law of refraction. Snell's law is defined as n1*sin(θ1) = n2*sin(θ2), where n1 and n2 are the indices of refraction, and θ1 and θ2 are the angles of incidence and refraction, respectively.

From the given data in the problem we know that n1 = 1.61 (flint glass), n2 = 1.36 (ethanol), and θ2 = 25.6°. What we want to find is θ1 (angle of incidence in glass).

First, rearrange Snell's law to solve for θ1. θ1 = arcsin[(n2*sin(θ2)) / n1]. By substituting the known values, we find θ1 = arcsin[(1.36 * sin(25.6°)) / 1.61].

By calculating this expression, we would obtain the angle of incidence in the glass in degrees.

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If the exhaust system on a heat engine is not functioning properly then burned gases will not be released into the surrounding air. Therefore, option (B) is correct.

An exhaust system can be used to guide reaction exhaust gases away from the controlled combustion in an engine. The entire system delivers burnt gases from the engine and involves one or more exhaust pipes.

An exhaust pipe should be carefully designed to carry toxic gases away from the users of the machine. Generators and furnaces can immediately fill an enclosed space with poisonous exhaust gases such as carbon monoxide, hydrocarbons, and nitrogen oxides.

The gases from most kinds of machines are very hot and the pipe must be heat-resistant. It should not pass near anything that can burn or can be damaged by heat. A chimney also serves as an exhaust pipe in a stationary system.

If the exhaust system is not functioning properly then burned gases will not be emitted into the surrounding air.

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Answer:B)

Explanation:

Option B i.e The Olympic bicycle racer who goes faster when is racing against a person rather than a clock.

As the social facilitation refers to the improvement of performance produced by the presence of others, The Olympic bicycle racer who goes faster when is racing against a person rather than a clock is the best example of social facilitation.

The tennis player who is frustrated when the crowd yells at her is not an example of social facilitation. Though there are presence of people, but their yell at her frustrated her which would worsen her performance.

Answer:

The correct answer is option B, The Olympic bicycle racer who goes faster when he is racing against a person rather than the clock

Explanation:

In social facilitation, a person works/performs better than his/her normal work/performance as he/she is in presence of other people. There are basically two type of social facilitation –  

a) co-action effects – when a person  works with other person as a co-worker

b) audience effect – when a person works in the mere presence of another person.  

In this case , an Olympic racer competes with another racer, thus this would be a co –action effect.  

The middle of the paper will serve as the node and there will be darkness seen at this node.

A wave is a disturbance along a medium which transfers energy. In this case, the two waves will constitute a standing wave.

The middle of the paper will serve as the node and there will be darkness seen at this node.

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Answer:

Explanation:

:)

True

electron has negative charge on it. the antiparticle has the same amount of charge on it but of opposite polarity. hence the antiparticle must have positive charge on it. positron has positive charge on it having same magnitude as that on the electron. hence the above statement is true.

Answer:

2.5

Explanation:

-a p e x

Final answer:

Option B is correct; the speed of light is a universal constant in a vacuum and is unaltered by the source's motion or the observer. The speed decreases in different media while the frequency remains constant, leading to a change in wavelength.

Explanation:

The correct statement about the speed of light is that no object or electromagnetic (EM) wave can move faster than the speed of light in a vacuum. This is expressed as option B: No object or EM wave can move faster than the speed of light in a vacuum.

It is a fundamental postulate of the theory of relativity that the speed of light in a vacuum is a constant, which is approximately 3.00×108 m/s, and does not depend on the motion of the source or the observer. In fact, the speed of light will slow down when it passes through a medium due to interactions with the material's atoms, which change its permittivity and/or permeability.

The wavelength and speed of light can change as light enters different media; however, the frequency remains constant. This phenomenon can be explained using the relation n = c/v, where 'n' is the index of refraction, 'c' is the speed of light in a vacuum, and 'v' is the speed of light in the medium. Since the frequency (f) is unaltered, and we know that v = λf (where λ is the wavelength), the wavelength must adjust to accommodate the change in speed when light travels through various media.

The frequency and wavelength of a wave, traveling through a medium, are inversely related. Therefore if the frequency of the wave increases, the wavelength decreases.

When a wave travels through a medium, it does so with a specific speed determined by the medium's properties itself. The frequency and wavelength of a wave are inversely related according to the wave equation speed = frequency x wavelength. Therefore, if the frequency of a wave increases (as per the question), the wavelength would decrease in order to maintain the same wave speed.

To think of it more intuitively, you can consider that a wave hitting a point more frequently (higher frequency) would mean that the waves are 'packed' closer together, which means a smaller wavelength.

So, the correct answer to your question is B.) decrease.

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it decreases by a factor of 2

In a series circuit, the resistors are arranged in a series and where, the current is inversely proportional to the resistance. Thus when resistance is increased to 6 ohm current will decreases to half.

Resistance is a physical quantity and is the measure of resistance to the current. It has a unit called Ohm. The device which is used to measure the resistance in a circuit is called a resistor.

According to Ohm's law, the product of current and resistance in a circuit is the voltage or potential difference in the circuit V.

I.e., V = I R.

As per this relation it is clear that the resistance and current in a circuit are in inverse proportionality. Therefore we have the equation relation them as:

I1/ I2 = R2/ R1

It is given that the initial resistance of 3 ohm increased to 6 ohm. Thus current will decrease there to half since resistance is increase to double.

Therefore, current will reduces to half of its initial value.

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The acceleration of the cheetah going from 10 m/s to 15 m/s in 0.25 seconds is 20 m/s², calculated using the acceleration formula a = Δv / Δt.

You want to know the acceleration of a cheetah that goes from 10 m/s to 15 m/s in 0.25 seconds. To calculate the acceleration, you can use the formula:

a = Δv / Δt

Where a represents acceleration, Δv is the change in velocity, and Δt is the change in time. In this case:

Δv = 15 m/s - 10 m/s = 5 m/s

Δt = 0.25 s

Now, plug these values into the formula:

a = 5 m/s / 0.25 s

a = 20 m/s²

So, the cheetah's acceleration is 20 m/s². This is a straightforward example of calculating linear acceleration.

Final answer:

To determine the initial temperature of the 65.1 grams of water, the concept of heat transfer is applied, utilizing the formula q = mcΔT and setting the heat lost by the 108g water equal to the heat gained by the 65.1g water.

Explanation:

To find the initial temperature of the 65.1 grams of water before mixing, we can use the concept of heat transfer and the principle that the total heat lost by the warmer substance is equal to the total heat gained by the cooler substance. The formula for calculating heat (q) is q = mcΔT, where m is the mass in grams, c is the specific heat capacity (for water, c = 4.18 J/g°C), and ΔT is the change in temperature.

For the 108 grams of water cooling down: q = (108g)(4.18 J/g°C)(47.9°C - 22.5°C).

For the 65.1 grams of water heating up: q = (65.1g)(4.18 J/g°C)(47.9°C - T), where T is the initial temperature of the 65.1g water sample.

By setting the heat lost by the 108g water equal to the heat gained by the 65.1g water and solving for T, the initial temperature of the 65.1 grams of water can be determined.

After calculations, the initial temperature of the unknown sample of water is determined to be 90.01°C.

To find the unknown temperature of the 65.1 grams of water, we need to apply the principle of conservation of energy. The heat gained by the 108 grams of water at 22.5°C must equal the heat lost by the 65.1 grams of water at the unknown temperature.

Using the formula for heat transfer:

Q = mcΔT,

where:

Step-by-Step Calculation:

Calculate the heat gained by the 108 g of water:

Q_gained = (108 g) * (4.18 J/g°C) * (47.9°C - 22.5°C).

Q_gained = 108 g * 4.18 J/g°C * 25.4°C = 11472.912 J.

Let T be the initial temperature of the 65.1 g of water. Calculate the heat lost by this water:

Q_lost = (65.1 g) * (4.18 J/g°C) * (T - 47.9°C).

Since heat gained = heat lost, set Q_gained equal to Q_lost:

11472.912 J = (65.1 g) * (4.18 J/g°C) * (T - 47.9°C).

Solve for T:

11472.912 J = 272.418 J/°C * (T - 47.9°C).

11472.912 J / 272.418 J/°C = T - 47.9°C.

42.11°C = T - 47.9°C.

T = 42.11°C + 47.9°C.

T = 90.01°C.

Therefore, the temperature of the other sample of water was 90.01°C.