True or False: Static electricity is a controlled burst of energy.

Answer:

a good insulator does not transfer heat easily.

An insulator does not conduct heat easily and does not leave the heat energy or else say transfer the heat quickly; also referred as poor conductors of heat.

Answer:

good insulater

Explanation:

Answer:

d) 15.12 N

e) 15.12 N

Explanation:

Draw a free body diagram of the each block.

Block A has three forces on it: weight force mAg pulling down, normal force N pushing up, and tension force T pulling down.

Block B has two forces on it: weight force mBg pulling down, and tension force T pulling up.

Sum of forces on A in the y direction:

∑F = ma

T + N − mAg = mAa

N = mAa + mAg − T

N = mA (a + g) − T

Sum of forces on B in the y direction:

∑F = ma

T − mBg = mBa

T = mBa + mBg

T = mB (a + g)

Plug in values:

T = (1.80 kg) (-1.60 m/s² + 10 m/s²)

T = 15.12 N

N = (3.60 kg) (-1.60 m/s² + 10 m/s²) − 15.12 N

N = 15.12 N

So the answers to (d) and (e) are both 15.12 N.

Answer:

The maximum amount of meat that the butcher can sell is  \(3\frac{1}{12}\:lb\)

Explanation:

The maximum amount can be found by taking the difference of mixed numbers.

\(5\frac{3}{4}-2\frac{2}{3}\\\\\mathrm{Subtract\:the\:numbers:}\:5-2=3\\\\\mathrm{Combine\:fractions:\:}\frac{3}{4}-\frac{2}{3}=\frac{1}{12}\\\\=3\frac{1}{12}\\\)

Best Regards!

The stage of moral development Eli demonstrated is Preconventional.

The early stage of moral development can be seen in preconventional morality. Up until about age nine, it persists. Children's decisions at this age are mostly influenced by what adults expect of them and the repercussions of disobeying them.

Morality is externally regulated at the preconventional level. In order to avoid punishment or gain rewards, people abide by the rules that are set forth by authority figures. According to this viewpoint, what is morally correct depends on one's ability to get away with it or what will make them feel good about themselves.

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We know that in a RC circuit the voltage in the capacitor when is charging is given by:

when this is happening the voltage in the resistor is given by:

In both equations V0 denotes the voltage given by the source, R is the resistance of the resistor and C is the capacitance of the capacitor.

We notice that in both expressions the product RC appear, this product is what we call the time constant of the capacitor; and it is important since it determines the time intervals in which the voltage, charges and currents chage in a RC circuit. This means that while the capacitor is charging or discharging the variables mentioned will always have the time constant in their expressions.

The velocity, measured in the Earth reference frame, of an inertial reference frame in which the cat's kinetic energy does not change is equal to the velocity of the skier before the collision. The velocity of the skier before the collision is 15 m/s.

According to the law of conservation of momentum, the total momentum before the collision must be equal to the total momentum after the collision. This can be expressed as m1*v1 + m2*v2 = (m1 + m2)*vf, where m1 and m2 are the masses of the skier and the cat respectively, v1 is the velocity of the skier, and vf is the velocity of the skier and the cat after the collision.

The kinetic energy converted to internal energy in the Earth reference frame can be determined by applying the law of conservation of momentum.

The amount of kinetic energy converted to internal energy can be calculated as follows:

m1*v1 = (m1 + m2)*vf

vf = (m1*v1)/(m1 + m2)

KE = (1/2)*m2*v2²

KE converted = KE initial - KE final

KE converted = (1/2)*m2*v2² - (1/2)*m2*((m1*v1)/(m1 + m2))²

KE converted = (1/2)*m2*v2² - (1/2)*m2*((60*15)/(60 + 5))²

KE converted = (1/2)*5*3.8² - (1/2)*5*(15²/65)

KE converted = 28.8 - 22.15

KE converted = 6.65 J

The velocity, measured in the Earth reference frame, of an inertial reference frame in which the cat's kinetic energy does not change is equal to the velocity of the skier before the collision.

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the rope wouldnt move, the force of both dogs pulling us also called tension

Answer:

793.5 Joules

Explanation:

The work–energy theorem states that the net work done on an object equals the object’s change in kinetic energy.

So we can say W=ΔKE.

The equation for kinetic energy is

\(KE=\frac{1}{2}mv^2\)

Therefore

\(W=\frac{1}{2}mv_f^2-\frac{1}{2}mv_i^2\)

\(W=\frac{mv_f^2}{2}-\frac{mv_i^2}{2}\)

We are given

\(m=3\)

\(v_i=0\)

\(v_f=23\)

Lets solve for \(W\).

\(W=\frac{3*23^2}{2}-\frac{3*0^2}{2}\)

\(W=\frac{3*23^2}{2}\)

\(W=\frac{3*529}{2}\)

\(W=\frac{1587}{2}\)

\(W=793.5\)

Answer:

ΔQ = 4896 KJ

Heat Flux = 57407.55 W/m²

Cost = $ 0.176

Explanation:

The amount of heat dissipated in two hours can be given as:

\(Heat\ Dissipation = \Delta Q = Pt\eta\)

where,

P = Power of Iron = 800 W

t = time taken = 2 hrs

η = Conversion efficiency = 85% = 0.85

\(\Delta Q = (800\ W)(7200\ s)(0.85)\\\\\)

ΔQ = 4896 KJ

Now, for heat flux:

\(Heat\ Flux = \frac{P}{Surface\ Area}\\\\Heat\ Flux = \frac{800\ W}{0.15\ ft^{2}}\frac{1\ ft^{2}}{0.092903\ m^{2}}\)

Heat Flux = 57407.55 W/m²

Now, for total heat energy in KWhr in two hours:

\(Heat\ Energy = (Power)(Time)\\\\Heat\ Energy = (0.8\ KW)(2\ hr)\\\\Heat\ Energy = 1.6\ KWh\)

Now, for the cost:

\(Cost = (Heat\ Energy)(Unit\ Cost)\\Cost = (1.6\ KWh)(\$ 0.11\ /KWh)\)

Cost = $ 0.176

The answer is  energy 3 times as much. option A.

To calculate the amount of energy released when a 5 kg object is converted to pure energy, we can use Einstein's famous equation: E = mc². In this equation, E represents energy, m represents mass, and c represents the speed of light.

Given that the mass of the object is 5 kg, we can calculate the energy using the equation:

E = (5 kg) * (c²)

Now, to compare this energy with the amount of energy the Earth receives from the Sun every second, we need to determine the Earth's solar energy input.

The solar constant is the amount of solar radiation received per unit area at the Earth's distance from the Sun. Its average value is approximately 1361 Watts per square meter (W/m²). Multiplying this value by the surface area of the Earth (approximately 510 million square kilometers), we can estimate the total energy received by the Earth from the Sun every second.

Energy from the Sun = (1361 W/m²) * (510,000,000,000 m²)

To compare the energy released from converting a 5 kg object to energy with the energy received from the Sun, we divide the former by the latter:

Energy conversion / Energy from the Sun = [(5 kg) * (c²)] / [(1361 W/m²) * (510,000,000,000 m²)]

Simplifying the equation, we find:

Energy conversion / Energy from the Sun = (5 kg * c²) / (1361 W/m² * 510,000,000,000 m²)

The value of c² is approximately (3x10^8 m/s)² = 9x10^16 m²/s².

Plugging in the values, we get:

Energy conversion / Energy from the Sun = (5 kg * 9x10^16 m²/s²) / (1361 W/m² * 510,000,000,000 m²)

Simplifying further:

Energy conversion / Energy from the Sun ≈ 3.52

Therefore, the amount of energy released when a 5 kg object is converted to pure energy is approximately 3.52 times larger than the amount of energy the Earth receives from the Sun every second.

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The shape of the acceleration - time graph will be linear.

The acceleration of an object is the rate of change of velocity with time.

a = Δv/Δt

where;

When the velocity of the object is constant, the acceleration of the object becomes zero.

When the velocity of the object is uniform, the object accelerates at a constant rate.

If the truck accelerates at a constant rate from the motion detector, the shape of the graph will be linear.

Thus, the shape of the acceleration - time graph will be linear.

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Answer:

A. gravitational force always true.

B, C and D could be true under the correct conditions

According to the diagram the equivalent resistance of the group is

40.05 ohms

The equivalent resistance is calculated by investigating the diagram to note that R2 and R3 are in parallel and both are in series to R1

Resistors in parallel is solved by

Resistors in parallel = 1/25.4 + 1/70.8

Resistors in parallel = 0.0535 ohms

Equivalent resistance

Equivalent resistance = Resistors in parallel + Resistor in series

Equivalent resistance = 0.0535 + 40

Equivalent resistance = 40.0535

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The formula you mentioned is known as the dot product formula or the scalar product formula. It is used to find the angle between two vectors u and v.

Let's start by defining the vectors u and v. Suppose we have two vectors u and v in a two-dimensional space.

u = (u1, u2)

v = (v1, v2)

The dot product of these vectors is defined as:

u . v = |u| |v| cos(β)

where |u| and |v| are the magnitudes of the vectors u and v respectively, and β is the angle between the vectors u and v.

Now, let's derive this formula. The dot product of two vectors u and v is given by:

u . v = (u1 × v1) + (u2 × v2)

The magnitude of a vector is given by:

|u| = sqrt(u1² + u2²)

|v| = sqrt(v1² + v2²)

We can use the dot product and magnitude equations to obtain:

cos(β) = (u . v) / (|u| × |v|)

Multiplying both sides by |u| × |v| gives us:

|u| × |v| × cos(β) = u . v

Therefore, we have derived the dot product formula:

u . v = |u| × |v| × cos(β)

This formula can be used to find the angle between two vectors u and v in any two-dimensional or three-dimensional space.

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The complete question is-

Write the proof of the formula

u.v=|u||v|cosβ

Answer:

B. Convection

D. Conduction

Explanation:

Conduction and convection are the two most prominent processes that helps transfer energy outward to the earth's crust.

Answer:

B and D

Explanation:

I just did it on a p e x. In case your not sure

Answer:

The time is \(t = 6.17 \ s \)

Explanation:

From the question we are told that

The angle is \(\theta = 15^o\)

The height is \(h = 12.5 \ m\)

Generally from SOHCAHTOA the length of the ramp can be evaluated as

\(L = \frac{h}{sin (\theta)}\)

=> \(L = \frac{12.5}{sin (15)}\)

=> \(L = 48.3 \ m \)

Generally fro kinematic equation this length is mathematically represented as

\(L = ut + \frac{1}{2} * g* sin (\theta )t^2\)

Here u = 0 m/s since the box started from rest

So

\( 48.3 = 0 + \frac{1}{2} * 9.8 * (sin(15))* t^2\)

\(t = \sqrt{ \frac{2 * 48.3 }{ 9.8 * sin (15)} }\)

       \(t =  6.17 \  s \)

The range of capacitance values that are needed so the antenna can pick up all the radio waves broadcasted by FM stations is from 5.45 x 10⁻¹² H to 3.62 x 10⁻¹² H.

The frequency at which the antenna can pick the radio waves broadcasted is known as resonance frequency.

At resonance frequency, the capacitive reactance is equal to inductive reactance.

Xc = Xl

\(\frac{1}{2\pi fC} = 2\pi fL\\\\4\pi^2 f^2 LC = 1\\\\C = \frac{1}{4\pi^2 f^2L}\)

where;

When the frequency is 88 MHz, the capacitance is;

\(C = \frac{1}{4\pi^2 \times (88 \times 10^6)^2 \times (6\times 10^{-7})} \\\\C = 5.45 \times 10^{-12} \ H\\\\\)

When the frequency is108 MHz, the capacitance is;

\(C = \frac{1}{4\pi^2 \times (108 \times 10^6)^2 \times (6\times 10^{-7})} \\\\C = 3.62\times 10^{-12} \ H\\\\\)

Thus, the range of capacitance values that are needed so the antenna can pick up all the radio waves broadcasted by FM stations is from 5.45 x 10⁻¹² H to 3.62 x 10⁻¹² H.

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The answer by onyebuchinnaji is correct, except for the fact that the final answer is in Farad (F), not H.

Answer:

b

Explanation:

Answer:

B B*

Explanation:

B BBBBB

BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB

Scientists seek to acquire knowledge and understanding of the real world through the formulation, testing, and evaluation of scientific hypotheses (Option C).

Scientific hypotheses are explanations about questions of the real world that can be used to test them by using the scientific method, i.e., by testing them to confirm or reject their assumptions through experimental and observation procedures.

Therefore, with this data, we can see that a scientific hypothesis is formulated and tested by using the scientific method in order to confirm or reject its assumptions and thus build scientific knowledge.

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Answer:

Scientific hypothesis

Explanation:

The dragonfly must generate approximately 4.8 × 10^-4 Joules of energy to spin itself at a rate of 1100 rpm.

Start by converting the rotational speed from rpm (revolutions per minute) to rad/s (radians per second). Since 1 revolution is equal to 2π radians, we can use the conversion factor:

Angular speed (ω) = (1100 rpm) × (2π rad/1 min) × (1 min/60 s)

ω ≈ 115.28 rad/s

The moment of inertia (I) is given as 2.0 × 10^-7 kg⋅m².

Use the formula for rotational kinetic energy:

Rotational Kinetic Energy (KE_rot) = (1/2) I ω²

Substituting the given values:

KE_rot = (1/2) × (2.0 × 10^-7 kg⋅m²) × (115.28 rad/s)²

Calculate the value inside the parentheses:

KE_rot ≈ (1/2) × (2.0 × 10^-7 kg⋅m²) × (13274.28 rad²/s²)

KE_rot ≈ 1.331 × 10^-3 J

Round the result to the proper number of significant figures, which in this case is three, as indicated by the given moment of inertia.

KE_rot ≈ 4.8 × 10^-4 J

Therefore, the dragonfly must generate approximately 4.8 × 10^-4 Joules of energy to spin itself at a rate of 1100 rpm.

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The time of flight is 2.57 s

The maximum height is 8.12 m

Projectile motion refers to the motion of an object that is launched into the air and then moves under the influence of gravity. A projectile is any object that is given an initial velocity and then moves freely under the influence of gravity, without any additional propulsion or guidance.

For the time of flight;

T = 2u sinθ/g

T = 2 * 22 * sin35/9.8

T  = 2.57 s

Then the maximum height is;

H = u^2sin^2θ/2g

H = (22)^2 (sin 35)^2/2 * 9.8

H = 8.12 m

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Answer:

In professional sports, notational analysis is the study of movement patterns, strategy and tactics in team sports. Successful patterns of play can be identified and used in subsequent matches. Notational analysis has a history in dance and music notation.

We have that the new speed after she picks up her child is mathematically given as

V2=3m/s

The speed of a body is simply the rate at which the body moves or functions, the speed of a body is measured with an SI unit of m/s.

Generally the equation for the  Velocity is mathematically given as

m1v1=m2v2

Therefore

\(v2=\frac{60*4}{60+20}\)

V2=3m/s

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According to problem ( considering sign convention for convex lens)

height of object = 2.25 mm;

object distance(u)= - 8.5 cm

focal length (f)= 5.5 cm

image distance(v)= ?

Using lens formula

a) Answer is :- Location of image = 15.58cm

Using magnification formula

b) Height of image = 4.12 mm

C) Magnification= 1.83

Answer:

390 light-years

Explanation:

50 x 7.8 =390

Answer:

the floor deforms very slightly under your weight

Explanation:

A trampoline is made up of a large piece of strong cloth held by springs on which you jump up and down as a sport. So, If you stand on a trampoline, it depresses under your weight.  However, the floor does not deform under your weight as it is too stiff.

Therefore,

when you stand on a hard stone floor, the floor deforms very slightly under your weight.

Answer:

It would take approximately 546 days for the decay rate of the sample of this radioactive isotope to fall to 0.58 of its initial rate.

1. The decay rate of a radioactive isotope is proportional to the number of radioactive atoms present in the sample at any given time.

2. The decay rate can be expressed as a function of time using the formula: R(t) = R₀ * \(e^{(-\lambda t\)), where R(t) is the decay rate at time t, R₀ is the initial decay rate, λ is the decay constant, and e is the base of the natural logarithm.

3. The half-life of a radioactive isotope is the time it takes for half of the radioactive atoms in a sample to decay. In this case, the half-life is given as 210 days.

4. Using the half-life, we can find the decay constant (λ) using the formula: λ = ln(2) / T₁/₂, where ln(2) is the natural logarithm of 2 and T₁/₂ is the half-life.

5. Substituting the given half-life into the formula, we have: λ = ln(2) / 210.

6. Now, we need to find the time it takes for the decay rate to fall to 0.58 of its initial rate. Let's call this time "t".

7. Using the formula for the decay rate, we can write: 0.58 * R₀ = R₀ * e^(-λt).

8. Simplifying the equation, we get: 0.58 = \(e^{(-\lambda t\)).

9. Taking the natural logarithm of both sides, we have: ln(0.58) = -λt.

10. Substituting the value of λ from step 5, we get: ln(0.58) = -(ln(2) / 210) * t.

11. Solving for t, we have: t = (ln(0.58) * 210) / ln(2).

12. Evaluating the expression, we find: t ≈ 546.

13. Therefore, it would take approximately 546 days for the decay rate of the sample of this radioactive isotope to fall to 0.58 of its initial rate.

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