Question 3

Involvement is the stage where your actual relationship begins

A. True
B. False

The vertical force P, that will just be sufficient to lift the end Y from the ground is 600 N.

If the force P is applied at end X, it will not be sufficient to lift end X from the ground because the force P is acting downwards.

The sketch of the rod is presented as follows;

|---- 2 ----------|---------------------- 3 ----------------------|

X-----------------------------------------------------------------Y

P                    ↓

                      40 kg

Take moment about the center of gravity;

P(2) = 40 x g (3)

2P = 40 x 10 (3)

2P = 1200

P = 600 N

Thus, the vertical force P, that will just be sufficient to lift the end Y from the ground is 600 N.

If the force P is applied at end X, it will not be sufficient to lift end X from the ground because the force P is acting downwards.

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Answer:

€0.98 per liter = 4.377 doller per gallon

Explanation:

It is given that, In Europe, gas cost approximately €0.98 per liter. We need to convert it into dollars($) per gallon.

We know that, 1 euro = 1.18 United States Dollar

1 litre = 0.264172 US gallon

Cost of gas in Europe is €0.98 per liter.

\(0.98\ \text{euro/ liter}=\dfrac{0.98\times 1.18\ \text{doller}}{0.264172\ \text{gallon}}\\\\=4.377\ \text{doller/gallon}\)

Cold climate favors rapid mechanical weathering, since the cold seasons cause the rock to contract.

Mechanical weathering, sometimes referred to as physical weathering and disaggregation, causes rocks to break down. Water, whether liquid or solid, is usually present during mechanical weathering. For instance, liquid water can seep through fractures and fissures in rock.

Cold climates promote mechanical weathering because they force rocks to contract and compress during the colder months. The rocks degrade and break at higher temperatures. Temperature fluctuations cause the expansion and contraction of rock (with cold). As this continues repeatedly, the structure of the rock deteriorates. It breaks down over time.

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Answer:

(i) Please see graph of the motion of the particles created with MS Excel and the calculations in the following sections

(ii) The time of collision is approximately 1.0 seconds

(iii) The common horizontal distance of point collision from the point of projection is approximately 25.2 meters

Explanation:

The velocity with which the first projectile was fired, v₁ = 21 m/s

The angle to the horizontal the particle is launched = 53.1°

The time at which the other particle was launched = 1 second later

The location from which the other particle was projected = 0.3 m below the first particle

The initial velocity of the second particle = 31.5 m/s

The angle to the horizontal at which the second particle was projected, θ = 36.9°

(i) The height reached, by each of the particle is given as follows;

y = u·t - 1/2·g·t²

For the first projectile, we have;

y = 21·(t₁+1)×sin(53.1°) - 9.81·(t₁+1)²/2 + 0.3

For the second projectile, we have;

y= 31.5·(t₁)×sin(36.9°) - 4.905·(t₁)²

If the two projectiles collide, we get;

21·(t₁+1)×sin(53.1°) - 9.81·(t₁+1)²/2 + 0.3  = 31.5·(t₁)×sin(36.9°) - 4.905·(t₁)²

Using a graphing calculator for simplifying, we get;

-11.93·t₁ + 12.2 = 0

t₁ = 12.2/11.93 ≈ 1.02

Therefore, at time t₁ = 1.02 seconds, after the launch of the second particle, the two particle will be at the same vertical height

However, whereby at the time, t₂, the particles collide, the horizontal distance travelled, 'x', will be equal;

We have;

x = u·cos(θ)·t₁

For the first particle, we have;

x₁₁ = 21 × cos (53.1°) × (t₂ + 1)

For the second particle, we have;

x₂₂ = 31.5 × cos (36.9°) × t₂

At the point of collision, we have;

x₁ = x₂

∴ 21 × cos (53.1°) × (t₂ + 1) = 31.5 × cos (36.9°) × t₂

31.5 × cos (36.9°) × t₂ - 21 × cos (53.1°) × t₂ = 21 × cos (53.1°)

t₂ = 21 × cos (53.1°)/(31.5 × cos (36.9°)  - 21 × cos (53.1°) ) = 1.00219236871

t₂ ≈ 1.0 seconds

Given that t₁ ≈ t₂, the particles reach the same height and the same horizontal distance at the same time, t₂ ≈ 1.0 and therefore, they collide.

(ii) The time of collision is found above as t₁ ≈ t₂ ≈ 1.0 seconds

(iii) The horizontal distance of the point of collision from the starting point, 'x', is given as follows;

x = 21 × cos (53.1°) × (1.0 + 1) ≈ 25.2

The horizontal distance of the point of collision from the starting point, x ≈ 25.2 meters

The vertical distance of the point of collision from the starting point of the second particle, 'y', is given as follows;

y = 21 × (1+1)×sin(53.1°) - 9.81 × (1+1)²/2 + 0.3 ≈ 14

The vertical distance of the point of collision from the starting point of the second particle, y ≈ 14 meters

The magnitude of the distance from the starting point of the second particle, r = √(25.2² + 14²) ≈ 28.8

The magnitude of the distance from the starting point of the second particle, r ≈ 28.4 meters.

Answer: 30 m/s

Explanation: my teacher just gave me the answer

The value of resistor R that gives the circuit in the figure a time constant of 22 μs is 220 Ω.

The circuit that is in the figure is shown below:Given that time constant (RC) = 22 μs. To find the value of resistor R, we need to use the formula for the time constant:

RC = τ, where R is the resistance and C is the capacitance of the circuit.

Rearranging the above formula, we get:R = τ / C

Where τ is the time constant and C is the capacitance of the circuit.

From the figure, the capacitance is given as 0.1 μF

.Substituting the values of τ and C in the above formula, we get:

R = (22 × 10⁻⁶ s) / (0.1 × 10⁻⁶ F)

R = 220 Ω

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Answer:

A carpet transfers more energy to heat than the floor, I believe.

Explanation:

There is more friction on the carpet creating more heat and energy loss. Potential energy is gained from being at a higher elevation.

Answer:

Im sorry i can't read it is to small

The measure of central tendency most influenced by outliers is the mean.

The mean, also known as the arithmetic average, is calculated by summing up all the values in a data set and dividing by the total number of values. It is one of the common measures of central tendency used to describe the center or average of a distribution.

Outliers are extreme values that significantly differ from the other data points in a set. These outliers can have a substantial impact on the mean because they contribute to the overall sum of the data. Since the mean takes into account the values of all data points, even a single extreme value can greatly affect its value.

To demonstrate this, consider a data set: 10, 20, 30, 40, 50, and an outlier value of 100. The mean of this data set without the outlier is 30, but when the outlier is included, the mean becomes 42. The outlier value of 100 significantly increases the overall sum, thereby shifting the mean towards the higher end of the data.

In contrast, other measures of central tendency, such as the median and mode, are less influenced by outliers. The median represents the middle value when the data set is arranged in ascending or descending order, and the mode represents the most frequently occurring value. Both these measures are less sensitive to extreme values because they focus on the relative position or frequency of values rather than their magnitudes.

The measure of central tendency most influenced by outliers is the mean. Outliers, being extreme values, can substantially impact the overall sum and subsequently shift the mean towards the direction of the outliers. It is important to be cautious when interpreting the mean in the presence of outliers and consider using alternative measures such as the median or mode for a more robust description of the data.

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The momentum and direction of the third piece with respect to the 100 g piece is 0.11 kgm/s at 11 degrees.

The momentum and direction of the third piece with respect to the 100 g mass is determined by applying the principle of conservation of linear momentum.

Pi = Pf

where;

0 = P₁ + P₂ + P₃

where;

-P₃ = P₁ + P₂

-P₃x = P₁cosθ + P₂Cosθ  --(1)

-P₃y =  P₁sinθ + P₂sinθ  --(2)

-P₃x = (0.1 x 1.2 x cos0) + (0.03 x 0.8 x cos120)

-P₃x = 0.12 - 0.012

-P₃x = 0.108 kgm/s

P₃x = -0.108 kgm/s

-P₃y =   (0.1 x 1.2 x sin0) + (0.03 x 0.8 x sin120)

-P₃y =  0.0208 kgm/s

P₃y =  -0.0208 kgm/s

\(P_3 = \sqrt{P_3x^2 + P_3y^2} \\\\P_3 = \sqrt{(-0.108)^2 + (-0.0208)^2} \\\\P_3 = 0.11 \ kgm/s\)

\(tan \ \theta = \frac{P_3y}{P_3x} \\\\\theta = tan^{-1} (\frac{P_3y}{P_3x} )\\\\\theta = tan^{-1} (\frac{-0.0208}{-0.108} )\\\\\theta = 11\ ^0\)

with respect to 100 g, direction of third piece is 11⁰

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The molarity of the solution is 1.496 M.

To find the molarity of a solution, you need to use the formula Molarity = moles of solute / liters of solution.

First, you need to find the moles of solute (HCl gas) in the solution. You can do this by using the formula moles = mass / molar mass.

The molar mass of HCl gas is 36.5 g/mol.

So, the moles of HCl gas in the solution is:

moles = 54.7 g / 36.5 g/mol = 1.496 mol

Next, you need to find the liters of solution. The question states that there is 1L of solution, so this is already given to you.

Finally, you can plug in the values you found for moles of solute and liters of solution into the formula for molarity:

Molarity = 1.496 mol / 1 L = 1.496 M

So, the molarity of the solution is 1.496 M.

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Answer:

It will be reflected to the principal focus of the concave mirror

Explanation:

This is because all rays parallel and close to the principal axis of a concave mirror get reflected to the principal focus of the mirror.

For a ray to be parallel to the mirror, it must be coming from an infinite distance.

So, using the mirror formula,

1/u + 1/v = 1/f where u = object distance from mirror, v =image distance form mirror and f =focal length of mirror.

Since u = infinite distance = ∞

1/u + 1/v = 1/f

1/∞ + 1/v = 1/f

0 + 1/v = 1/f

1/v = 1/f

v = f

So, the image is at the principal focus.

So, the ray of light parallel to the principal axis of the concave mirror is reflected to the principal focus of the concave mirror.

The energy needed to make the suspension bridge oscillate with an amplitude of 0.124 m is 1.04 × 10^5 J. It takes approximately 11.5 seconds for the bridge's oscillations to go from 0.124 m to 0.547 m amplitude.

The energy of oscillation in a system is given by the formula: E = (1/2)kA^2, where E is the energy, k is the effective force constant, and A is the amplitude of oscillation. Plugging in the given values, we get E = (1/2)(1.66 × 10^8 N/m)(0.124 m)^2 = 1.04 × 10^5 J. The natural frequency of oscillation for the bridge can be calculated using the formula: f = (1/2π)√(k/m), where f is the frequency, k is the effective force constant, and m is the mass. Since the mass is not given, we can assume it cancels out when comparing ratios. Thus, the ratio of frequencies is equal to the ratio of amplitudes, and we can use the formula: T2/T1 = A2/A1, where T is the time period and A is the amplitude. Rearranging the formula, we get T2 = (A2/A1) × T1. Plugging in the given values, we have T2 = (0.547 m/0.124 m) × T1 ≈ 11.5 s.

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This collision violates conservation of both energy and momentum i.e, third option is correct.

According to the law of conservation of momentum, when two bodies collide their total momentum and energy before and after collision are equal.

According to the law of conservation of energy, energy can neither be created nor destroyed. However, it can be transformed from one form to another. It is also known as the first law of thermodynamics.

Given that, the two bodies move with same velocities after collision, means that the law has not been violated since, momentum = mass*velocity (where mass is said to be constant)

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Answer:

If you went to work your trap muscles you don't need a ton of fancy gym equipment. Here are four trapezius exercises you can perform using your own body.

The lamp descends with the elevator so its acceleration is also 2.9 m/s². Take downward to be the positive direction. Then the net force on the lamp is

∑ F = w - t = ma

where w = mg = weight of lamp, t = tension in the cord, m = mass of lamp, and a = acceleration. Then

mg - t = ma

mg - ma = t

m (g - a) = t

m = t / (g - a)

so that the lamp's mass is

m = (52 N) / (9.8 m/s² - 2.9 m/s²) ≈ 7.5 kg

Answer:

D By looking all the way to the cosmological horizon, we can see the actual conditions that prevailed all the way back to the first instant of the Big Bang.

Explanation:

Astrophysicists are able to determine the conditions that existed in the early universe, by using instruments such as telescopes to observe and study cosmic horizons. More ideas about the early universe can be found from the thermal light present in cosmic backgrounds.

Scientists study these details that provide an insight into the conditions that existed so many years ago. They have been able to determine that the Big Bang involved so many collisions from these observations.

Based on the information provided about the three LR circuits with the same resistor but different inductors, and considering the inductor current as a function of time when connected to a DC emf, you can rank the inductances L1, L2, and L3 from largest to smallest as follows:

This ranking is based on the assumption that a larger inductance will take longer to reach its steady-state current, resulting in a slower rise in current over time.

Inductance is the property of an electronic circuit that causes an electric potential to arise in proportion to the current flowing in the circuit, this property is referred to as inductance. Inductance is the property of an electronic circuit that creates an electric potential proportional to the current flowing in the circuit which is known as self-inductance.

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The stopper travels approximately 4.5 meters horizontally before hitting the ground.

We can use conservation of energy to solve this problem. At the highest point of the stopper's motion, all of its energy is in the form of potential energy, and at the lowest point (when it hits the ground), all of its energy is in the form of kinetic energy.

The potential energy of the stopper at the highest point is:

Ep = mgh

where m is the mass of the stopper, g is the acceleration due to gravity, and h is the height above the ground. Plugging in the values given in the problem, we get:

Ep = (0.150 kg) * (9.81 m/s²) * (2.3 m) ≈ 3.2 J

At the lowest point, all of the potential energy has been converted to kinetic energy:

Ek = (1/2) * mv²

where v is the speed of the stopper just before it hits the ground. Since the stopper is released from rest, we can use conservation of energy to equate the potential energy at the highest point to the kinetic energy just before hitting the ground:

Ep = Ek

mgh = (1/2) * mv²

Solving for v, we get:

v = √(2gh)

where h is the height from which the stopper was released. Plugging in the values given in the problem, we get:

v = √(2 * 9.81 m/s² * 2.3 m) ≈ 6.6 m/s

Now we can use the time it takes for the stopper to fall to the ground to calculate the horizontal distance it travels. The time is given by:

t = √(2h/g)

Plugging in the values given in the problem, we get:

t = √(2 * 2.3 m / 9.81 m/s²) ≈ 0.68 s

During this time, the stopper travels a horizontal distance given by:

d = vt

Plugging in the values we just calculated, we get:

d = (6.6 m/s) * (0.68 s) ≈ 4.5 m

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Answer:

The sound waves from a radio speakers

Explanation:

Evaporating, condensing, melting, and freezing are chemical changes. This statement is false. Rather,  these are examples of physical changes.

In a physical change, the substance undergoes a change in its physical state or properties without any alteration in its chemical composition. The molecules or atoms involved in the substance remain the same, and no new substances are formed.

Evaporation is the process of a liquid changing into a gas state, usually due to an increase in temperature. Condensation, on the other hand, is the reverse process, where a gas changes into a liquid state due to a decrease in temperature or an increase in pressure.

Melting occurs when a solid substance is heated and transforms into a liquid state. Freezing is the opposite process, where a liquid substance is cooled and solidifies into a solid state.

In contrast, chemical changes involve the transformation of substances into new substances with different chemical compositions. Examples of chemical changes include burning, rusting, and digestion, where the chemical properties and composition of the substances involved are altered.

Therefore, evaporating, condensing, melting, and freezing are examples of physical changes rather than chemical changes.

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Answer:

300 kelvin

Explanation:

Frog belong to the spot 'c'

a branching diagram show the evolutionary relationships among various biological species based upon similarities and differences in their morphological or genetical characteristics.

Hence the frog is correct answer.

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Answer:

The force on the wire increases

Explanation:

Since the force on the wire F = BILsinФ where B = magnetic field strength, I = current in wire, L= length of wire and Ф = angle between the magnetic field and the wire.

Given that the magnetic field and the wire are perpendicular, Ф = 90°

So, F = BILsin90° = BIL

Since B and L are constant, F ∝ I

So, if the current in the wire increases, the force on the wire also increases.

(a) The equivalent resistance of the circuit is 0.52 ohms.

(b) The total electric current that runs through the circuit is 40.38 A.

(c) The value of the electric current passing through the resistor of 1.0 Ohm is 21 A.

(d) The power dissipated through the 8.0 Ohm resistor is 55.13 W.

The equivalent resistance of the circuit is calculated as follows;

1/R = 1/(1 + 1) + 1/(2 + 2 + 2) + 1/(6) + 1/(2) + 1/8 + 1/8 + 1/6 + 1/6

1/R = 1/2 + 1/6 + 1/6 + 1/2 + 1/8 + 1/8 + 1/6 + 1/6

1/R = 1 + 2/3 + 1/4

1/R = 23/12

R = 12/23

R = 0.52 ohms

V = IR

I = V/R

I = 21/0.52

I = 40.38 A

V = IR

I = V/R

I = 21/1

I = 21 A

P = V²/R

P = (21)²/8

P = 55.13 W

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If two vehicles arrive at the same time with four-way stop signs and are facing each other (one going straight and the other turning left), the vehicle going straight typically has the right of way. The turning vehicle should yield to the vehicle going straight before making their turn.

In some cases, if there is confusion or uncertainty about who arrived first, drivers may use non-verbal communication, such as making eye contact or using hand gestures, to coordinate and determine who should proceed first. It's important to exercise caution, patience, and communicate effectively to avoid potential collisions and ensure a smooth flow of traffic.

It's worth noting that traffic rules and regulations may vary by jurisdiction, so it's always advisable to familiarise oneself with the specific local laws and guidelines governing four-way stops and intersections in the region where one is driving.

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From the calculation;

1) Melting point of indium = 171.4°

2) The resistance is 52.9 ohm

3) The power dissipated is  834 W

The temperature coefficient of resistance is a measure of how much the resistance of a material changes with temperature. It quantifies the relationship between the change in resistance and the change in temperature.

We have that;

R1/R2 = (1 + αt1)/(1 + αt2)

50/76.8 = (1 + (3.92 * \(10^-3\) * 20))/(1 +  (3.92 *\(10^-3\) * t))

0.65 = 1.0784/1 + 0.00392t

0.65(1 + 0.00392t) =  1.0784

0.65 + 0.0025t = 1.0784

t = 171.4°

P = \(V^2\)/R

R = \(V^2\)/P

R = \(230^2\)/1000

R = 52.9 ohm

The new power is;

P =\(210^2\)/52.9

P = 834 W

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The designed series RLC circuit will have the chosen values of R, L, and C.

To design a series RLC circuit with a step response given by vc(t) = V₁ - Ve^(-400t) + 1 - 2000e^(-200t), we need to determine the values of resistance (R), inductance (L), and capacitance (C) that will result in a similar response.

Let's analyze the given step response equation to identify its characteristics and determine the circuit parameters accordingly:

vc(t) = V₁ - Ve^(-400t) + 1 - 2000e^(-200t)

Steady-State Value (Vss):

The steady-state value of the step response is Vss = V₁ + 1.

Transient Response:

The transient response of the circuit is represented by the exponential terms e^(-400t) and e^(-200t). These terms indicate that the circuit contains energy storage elements such as an inductor and a capacitor.

Time Constants:

The time constants can be determined by the coefficients in the exponential terms. In this case, we have a time constant of 1/400 for the first term and a time constant of 1/200 for the second term.

Based on the characteristics of the step response, we can design a series RLC circuit as follows:

Resistance (R):

Since the step response equation does not contain a term related to resistance, we can choose any suitable value for R based on the desired behavior of the circuit.

Inductance (L):

To match the time constant of 1/400, we can select an inductor with an inductance value of L = 1/(400R).

Capacitance (C):

To match the time constant of 1/200, we can select a capacitor with a capacitance value of C = 1/(200R).

However, please note that the specific values of R, L, and C will depend on the desired performance and the constraints of the circuit.

It's important to consider practical limitations, such as the availability of specific resistor, inductor, and capacitor values. Additionally, ensure that the chosen values of R, L, and C are appropriate for the intended application and within acceptable ranges.

Remember to double-check the circuit design, verify the calculated parameters, and consider any additional requirements or constraints specific to your application.

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The initial maxima speed for light with a 500 nm wavelength is 5 mm/s.

Hence, given the distance to a screen, the breadth of the slit, and the wavelength of the light, we can apply the equation y = L l / a to pinpoint the location of the initial diffraction minimum with in single slit diffraction pattern.

Its Type III dispersion is intended for applications such general carparks and streets where a larger illumination area is required. Type III lighting must be placed to one side of the area in order for it to illuminate the entire area. As a result, there's a filling light flow.

Distance between slits and screenD=3m

Distance between slits d=10 mm

Speed v=4 m/s

v β =5×10 −3 m/s

= 5 mm/s

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