determine the velocity of the 60kg block a, if the two blocks are released from rest, and the 40kg block b moves 2m up the incline.

Answer:

• Go Native. Use native plants in your landscape. ...

• Reduce Chemical Use. Use fewer chemicals around your home and yard, and make sure to dispose of them properly - don't dump them on the ground!

• Manage Waste. ...

Explanation:

There are some easy ways to conserve water to help protect our aquifers, watersheds, and ground water. First, we can all conserve water, by not running the water while we brush our teeth and making sure we fix all leaking or dripping faucets. Another was to conserve water is to collect rain water to use to water your plants. Speaking of plants, you can also plant more zeroscape type landscapes that require less water. We can also update our shower heads and toilets to be low-flow and more efficient. Can't afford a new toilet? Simply add a brick to your tank and this will cut down on the water used for every flush.

The power consumed is 3.33 kW.

The coefficient of performance (COP) of a refrigerator is defined as the ratio of the heat extracted from the refrigerated space to the work done by the compressor. In other words, it's a measure of how much cooling effect the refrigerator can produce for a given amount of electrical energy input.

Here, the rate at which the refrigerator accepts heat from the refrigerated space is 10 kW.

COP of the refrigerator is 3.0.

The power consumed by the refrigerator can be calculated using the following formula:

Power consumed = Heat absorbed / Coefficient of Performance

Power consumed = 10 kW / 3.0 = 3.33 kW

Therefore, the power consumed by the refrigerator is 3.33 kilowatts.

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Answer:

D.gravity

Explanation:

Answer:

D. bacteria feeding on the large volume of carp feces depleted the oxygen

Explanation:

In the context, it is given that in a small farm pond, the owner added 20 grass carp and feed them with the abundant plants and algae that is found on her pond. The carp grew large after many years but one summer the owner found the grass carps along with other fishes were dead.

The most possible explanation for the dead of the fishes in the pond because the bacteria feeds on the carp feces which depletes the dissolved oxygen present in the water. Thus the fishes could not breathe and were finally dead.

Therefore, the correct option is (D).

Answer:

The correct option is;

B. Subtract vectors A from C; \(F_{Net}\) = 12 N

Explanation:

The given parameters are;

The weight of the dresser = 250 N

The force applied by the man = 20 N = C

The frictional force provided by the carpet = 8 N = The component of the weight resisting motion = A

Therefore, the net force tending to put the dresser in motion, \(F_{Net}\), is given as follows;

\(F_{Net}\) = The force applied by the man, C - The frictional force provided by the carpet which is the component of the weight resisting motion, A

\(F_{Net}\) = C - A = 20 N - 8 N = 12 N

\(F_{Net}\) = 12 N

The resulting net force, \(F_{Net}\) = 12 N.

The resultant force can be obtained by subtracting vector C from Vector A and the value of net force is 12 N. Hence, option (C) is correct.

Given data:

The weight of man is, W = 250 N.

The magnitude of applied force is, F = 20 N.

The magnitude of frictional force is, f = 8 N.

As per the given problem and the diagram let the applied force be denoted by vector A, Then,

Magnitude of Vector A = 20 N

And the frictional force be denoted by vector C. Then,

Magnitude of Vector C = 8 N

We know that the role of frictional force is to oppose the motion or to oppose the effect of applied force. Then the resultant force is given as,

\(F_{net} = F-f\\\\F_{net} = 20 - 8\\\\F_{net} = 12 \;\rm N\)

Thus, we can conclude that the resultant force can be obtained by subtracting vector C from Vector A and the value of net force is 12 N. Hence, option (C) is correct.

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The subsequent current in the series RLC circuit is given by the equation: i(t) = I * cos(5t - Φ), where I is the amplitude of the current and Φ is the phase angle.

To find the subsequent current, we need to calculate the amplitude (I) and the phase angle (Φ) of the current.

First, let's calculate the resonant frequency (ω) of the circuit:

ω = 1 / √(LC) = 1 / √(10 * 10^(-2)) = 1 / √1 = 1 rad/s.

The applied voltage can be written as E(t) = E * cos(ωt), where E is the amplitude of the voltage.

Comparing this with the given voltage E(t) = 200 * cos(5t), we can equate the angular frequencies: ω = 5.

Now, let's find the impedance (Z) of the circuit:

Z = √(R^2 + (Xl - Xc)^2),

where R is the resistance, Xl is the inductive reactance, and Xc is the capacitive reactance.

R = 20 Ω

Xl = ωL = 1 * 10 = 10 Ω

Xc = 1 / (ωC) = 1 / (5 * 10^(-2)) = 20 Ω

Plugging in these values, we get:

Z = √(20^2 + (10 - 20)^2) = √(400 + 100) = √500 ≈ 22.36 Ω.

The amplitude of the current (I) can be calculated using Ohm's Law:

I = E / Z = 200 / 22.36 ≈ 8.94 A.

The phase angle (Φ) can be found using the relationship between resistance, inductive reactance, and capacitive reactance:

tan(Φ) = (Xl - Xc) / R = (10 - 20) / 20 = -0.5.

Therefore, Φ ≈ -0.464 rad.

The subsequent current in the series RLC circuit is given by i(t) = 8.94 * cos(5t + 0.464) A.

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The potential energy (PEg) of the metal ball is calculated using the formula PE = mgh, where m is the mass (6.3 kg), g is the acceleration due to gravity (9.8 m/s²), and h is the height (0.9815 m).

The kinetic energy (KE) of the ball is determined using the formula KE = mv²/2, where m is the mass (6.3 kg) and v is the velocity (15 m/s). Substituting the values, we find the ball's KE to be 708.75 J.

The potential energy (PEg) is the energy possessed by an object due to its position relative to the Earth's surface. To calculate it, we multiply the mass (6.3 kg), acceleration due to gravity (9.8 m/s²), and the height (0.9815 m). The resulting value is 61.3827 J, representing the potential energy of the ball.

The kinetic energy (KE) is the energy possessed by an object due to its motion. To determine it, we use the mass (6.3 kg) and velocity (15 m/s) in the formula KE = mv²/2. Plugging in the values, we find that the ball's KE is 708.75 J, representing the energy associated with its movement.

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The time spent in the air by the ball at the given momentum is 6.43 s.

The given parameters;

The impulse experienced by the ball is calculated as follows;

\(Ft = \Delta P\)

where;

\(Ft\) is impulse

\(\Delta P\) is change in momentum

The time of motion of the ball is calculated as follows;

\(t = \frac{\Delta P}{F} \\\\t = \frac{0.9 - 0}{0.14} \\\\t = 6.43 \ s\)

Thus, the time spent in the air by the ball at the given momentum is 6.43 s.

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Therefore, the coin falls behind the passenger, indicating that the train is moving forward. In summary, the motion of the train is forward.

The motion of the train can be determined by considering the behavior of the coin. Since the coin falls behind the passenger, it implies that the train is moving forward. This can be explained by the concept of inertia. When the coin is tossed vertically, it also has a forward velocity due to the train's motion. As the coin is in the air, it maintains its forward velocity. However, since the passenger is also moving forward with the train, they perceive the coin's motion as being straight down. Therefore, the coin falls behind the passenger, indicating that the train is moving forward. In summary, the motion of the train is forward.

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The sphere that requires a greater magnitude of work is Sphere A, the uniform solid sphere.

The Kinetic energy of the rolling sphere can be expressed as:

\(KE = (1/2)mv^2 + (1/2)I\omega^2\)

where m is the mass of the sphere, 'v' is the velocity of the center of mass, I is the moment of Inertia of the sphere and \(\omega\) is the angular velocity of the sphere.

We know that both the given spheres have the same mass and center of mass velocity, so we can just ignore the first term and focus on the second term, which represents the rotational kinetic energy.

The moment of inertia of a solid sphere is:

\(I_a= (2/5) mr^2\)

where r is the radius of the sphere.

The moment of inertia of the hollow sphere is:

\(I_b = (2/3)mr^2\)

Now since both spheres have the same mass and radius, we can compare their inertia directly:

\(I_a = (2/5)mr^2 = (2/5)(5.00 kg)(0.120 m)^2 = 0.144 kg m^2\\I_b = (2/3)mr^2 = (2/3)(5.00 kg)(0.120 m)^2 = 0.192 kg m^2\)

Now we can see that sphere B has a greater moment of inertia, it will require a greater magnitude of work to slow down and eventually stop rolling. Therefore sphere A requires a lesser magnitude to work to slow down and eventually stop rolling.

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Explanation:

a) i) Calculation of the friction force:

The friction force can be determined using the equation:

friction force = coefficient of friction * normal force

The normal force is equal to the weight of the object, which can be calculated as:

normal force = mass * gravitational acceleration

where the gravitational acceleration is approximately 9.8 m/s².

normal force = 75 kg * 9.8 m/s² = 735 N

friction force = 0.4 * 735 N = 294 N

ii) Calculation of the acceleration of the body:

Now, we can calculate the acceleration using Newton's second law:

net force = mass * acceleration

Since the applied force and the friction force act in opposite directions, the net force can be calculated as:

net force = applied force - friction force

net force = 300 N - 294 N = 6 N

mass = 75 kg

6 N = 75 kg * acceleration

acceleration = 6 N / 75 kg = 0.08 m/s²

b) Explanation:

In part (a), we calculated the friction force to be 294 N and the acceleration of the body to be 0.08 m/s². The positive acceleration indicates that the body is moving in the direction of the applied force.

The friction force opposes the motion of the body and acts in the opposite direction to the applied force. In this case, the applied force of 300 N is greater than the friction force of 294 N. As a result, the net force acting on the body is 6 N in the direction of the applied force.

The small net force of 6 N, compared to the body's mass of 75 kg, results in a relatively low acceleration of 0.08 m/s². This indicates that the body will accelerate slowly in the direction of the applied force due to the presence of friction.

Overall, the friction force and the resulting acceleration of the body are determined by the coefficient of friction (μ) and the mass of the object. In this case, the body experiences a relatively high friction force, leading to a small acceleration.

Answer:

acceleration is zero m/s²

Explanation:

It is given that the train travels at constant speed (i.e speed does not change)

If speed does not change, then the train is neither accelerating or decelerating (i.e acceleration is zero)

Answer:

the two objects are in thermal equilibrium

Explanation:

thermal equilibrium us the state where two bodies or objects have the same amount of temperature thus no heat conduction

Answer: 52 kj/gm

Explanation:

the heat of combustion of ethane, c2h6, is 1560 kj/mol. what is the heat of combustion of ethane, in kj per gram?

ethane is C2H6 and has a molecular mass of (2X12) + (6X1) = 30m

1 mole of ethane = 30 gmsso

1560 kj/moe = 1560 kj/30gm =

52 kj/gm

The bandwidth of the RL circuit is between 11.24 Hz and 22.49 Hz.

The circuit shown in Fig. 9.5 is a simple RL circuit, and the transfer function is given by the equation,

I(s) = G(s)Ein(s) / (R + Ls) where the output is the current, I(t), and the input is the voltage, Ein(t).

The circuit parameters are L = 0.02 H and R = 2 ohms. The bandwidth of the RL circuit is defined as the range of frequencies over which the output voltage is greater than 70.7% of the input voltage. At this frequency, the output voltage is said to be half-power or -3 dB. The bandwidth of a circuit is related to its cutoff frequency, which is defined as the frequency at which the output voltage is half the input voltage.

The cutoff frequency, fc, is given by the equation,

fc = 1 / (2π√LC) where L is the inductance and C is the capacitance of the circuit.

For the RL circuit, there is no capacitance, so the equation becomes,fc = R / (2πL)Substituting the given values,R = 2 ohms and L = 0.02 H,fc = 2 / (2π*0.02)fc = 15.92 Hz

The bandwidth of the circuit is the range of frequencies between the lower and upper cutoff frequencies, which are given by the equations,

fl = fc / √2 = 15.92 / √2 = 11.24 Hzfu = fc * √2 = 15.92 * √2 = 22.49 Hz

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Since a 1.03 × 10² mA current is used to charge up the parallel plate capacitor and a large square piece of paper is placed between the plates and parallel to them so it sticks out on all sides, the value of ∫B.ds around the perimeter of the paper is 1.29 × 10⁻⁷ Tm

This shows the relationship between the magnetic field, B, the path of integration, ds and the current enclosed by the magnetic field, i.

Ampere's law is given mathematically as

∫B.ds = μ₀i where

Given that for the large square piece of paper, the current used to charge the capacitor is

Since ∫B.ds = μ₀i

Substituting the values of the variables into the equation, we have

∫B.ds = μ₀i

∫B.ds = 4π × 10⁻⁷ Tm/A × 1.03 × 10⁻¹ A

∫B.ds = 4.12π × 10⁻⁸ Tm

∫B.ds = 12.94 × 10⁻⁸ Tm

∫B.ds = 1.294 × 10⁻⁷ Tm

∫B.ds ≅ 1.29 × 10⁻⁷ Tm

So, the value of ∫B.ds around the perimeter of the paper is 1.29 × 10⁻⁷ Tm

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Answer:

Explanation:

The most important thing to remember about parabolic motion in physics is that when an object reaches its max height, the velocity right there at the highest point is 0. Use this one-dimensional motion equation to solve this problem:

v = v₀ + at and filling in:

0 = v₀ + (-9.8)(4.0) **I put in 4.0 for time so we have more than just 1 sig fig here**

0 = v₀ - 39 and

-v₀ = -39 so

v₀ = 39 m/s

your answer would be 9.7

Answer:

0.0097 mg = 9.7e-9 g

Explanation:

Answer:

c.15

FA = Leffort / Llifting

\( \frac{30}{2} \)

=15

We may be certain that an item is in equilibrium if we know the total force acting on it is zero. This statement is true.

If the sum of the forces acting on an object is zero, then we can say for sure that the object is in equilibrium. This is because the state of equilibrium is defined as the condition in which the net force acting on an object is zero.

When there is no net force acting on an object, it means that the forces acting in opposite directions are balanced and cancel each other out. As a result, the object does not accelerate in any direction, and it remains at rest or continues to move at a constant velocity in a straight line.

However, it is important to note that this only applies to the case of a static equilibrium, where the object is at rest. In the case of dynamic equilibrium, where the object is moving at a constant velocity, the net force acting on the object may not be zero but rather balanced by an equal and opposite force, such as friction.

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Answer:

D

Explanation:

Work done =force x distance in the direction of force applied

I think its d

Explanation:

i think the sun is near the earth that's why we see the sun during the day and the moon is behind the sun so when it is in the night the moon will remove in front the sun and there will be night I hope it will help you

"The term used for the distance between corresponding points of adjacent waves is wavelength."

The peak of the wave is the location where displacement is at its greatest in a wave motion, while the trough of the wave is the location where displacement is at its lowest.

The wavelength of a wave is the distance between its two consecutive crests and troughs.

The relationship between a wave's frequency and velocity can be used to describe wavelength.

We can quantify certain aspects of any wave called wave properties. Amplitude, wavelength, frequency, time, and velocity are some of these characteristics. It is the distance, typically measured in metres, between two equivalent points on adjacent waves. The distance between two consecutive crests can be used to calculate a transverse wave's wavelength.

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Ammeters must be connected in series with the circuit in order to accurately measure the current flowing through the circuit. When an ammeter is connected in parallel with a circuit, it creates a low-resistance path, which can alter the current in the circuit and give inaccurate readings.

When an ammeter is connected in series, it becomes a part of the circuit and allows the current to flow through it. This way, the ammeter measures the actual current in the circuit, without altering it.
It is important to note that ammeters should only be connected in series with a circuit that is properly designed and has the necessary safety measures in place. Incorrectly connecting an ammeter can create a hazard and damage the equipment. Therefore, it is important to follow proper procedures and safety guidelines when using ammeters to measure electrical current.

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Answer:

1. 21.66 Ohms

2.  3.38 A

3. 6.7 V

Explanation:

1. Req = 6+2 = 8 Ohms (2 and 6 are in a series circuit)

  Req = 1/8 +1/4 = 3/8 = 8/3 = 2.66 Ohms (8 and 4 are parallel, so we will add them using this equation)

  Req = 2.66 + 1 + 9 + 3 + 6 = 21.66 Ohms

2. I = V/R = 9/2.66 = 3.38 A (In a series circuit, the current is the same across the resistors, so we will add them and divided them by 9 volts)

3. V = IR = 3.38 x 2 = 6.7 V (In a series circuit, the voltage is different, so each resistor will have a different voltage.)

I hope this helps.  I am not an expert in physics but its ok :)

Note: If the answer benefited u, mark me as the brainliest answer if u can, thx.

The relationship between current and potential difference for a light bulb is that the current passing through the bulb is directly proportional to the potential difference across its terminals, given that the bulb's resistance remains constant.

The relationship between current and potential difference, also known as voltage, is crucial in understanding how electrical devices operate. According to Ohm's Law, the current passing through a conductor is directly proportional to the voltage applied across it, provided that the resistance of the conductor remains constant. In the case of a light bulb, the filament's resistance remains relatively constant, so the current passing through it is directly proportional to the potential difference or voltage applied across its terminals.

Therefore, when the potential difference across the light bulb is increased, the current passing through the filament also increases, and the bulb's brightness also increases. Conversely, when the potential difference across the bulb is decreased, the current passing through it also decreases, and the bulb's brightness reduces accordingly. This relationship between current and potential difference is essential in designing and controlling electrical circuits, as it allows us to control the flow of current through the circuit and the energy consumed by the devices.

In conclusion, the current passing through a light bulb is directly proportional to the potential difference or voltage applied across its terminals, given that the bulb's resistance remains constant. This relationship is crucial in designing and controlling electrical circuits and is based on Ohm's Law, which relates current, voltage, and resistance. Understanding this relationship is crucial for anyone working with electrical circuits or devices.

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The distance between the 7th and the tenth second is 29.4 m.

We know that we can have to formulate the information that has been given here so as to obtain a proper progression and this would help us to get the common difference of the progression that we are looking at.

Now we know that the progression would look something like; 4.9, 14.7, 24.5 ....

We can see that this is an arithmetic progression that has a common difference of 9.8.

U7 = a + (n - 1)d

a = first term

n = Number of terms

d = common difference

U7 = 4.9 + (7 - 1) 9.8

= 63.7

U10 = 4.9 + (10 - 1) 9.8

U10 = 93.1

Between the 7th and 10th seconds, we have;

93.1 - 63.7

= 29.4 m

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Answer:

Below

Explanation:

384 400 km / 300 000 km/s = 1.28 seconds

Answer:

The correct answer is B

Lichens produce chemicals which dissolve and weather the rocks.