In which scenario will the two objects have the greatest gravitational force
between them?
A. Mass of object 1 = 12 kg
Mass of object 2 = 12 kg
Distance between objects = 1.5 m
O B. Mass of object 1 = 15 kg
Mass of object 2 = 12 kg
Distance between objects = 1.5 m
C. Mass of object 1 = 15 kg
Mass of object 2 = 12 kg
Distance between objects = 0.5 m
D. Mass of object 1 = 12 kg
Mass of object 2 = 12 kg
Distance between objects = 0.5 m

Ohm’s Law is the most common method used to calculate voltage, current, and resistance in a circuit.

Ohm’s Law states that voltage (V) is equal to the product of current (I) and resistance

(R), or V = I x R.

Therefore, to calculate voltage, current, or resistance in a circuit using Ohm’s Law, the two other quantities must be known. For instance, if the current and resistance are known, the voltage can be calculated by multiplying the current by the resistance. Likewise, if voltage and resistance are known, the current can be calculated by dividing the voltage by the resistance. Finally, if voltage and current are known, resistance can be calculated by dividing the voltage by the current.

The power equation is another method used to calculate voltage, current, and resistance in a circuit. The power equation states that power (P) is equal to the product of voltage (V) and current (I), or P = V x I. Therefore, to calculate voltage, current, or resistance in a circuit using the power equation, two other quantities must be known. If voltage and current are known, power can be calculated by multiplying the voltage by the current. If power and voltage are known, current can be calculated by dividing the power by the voltage. Finally, if power and current are known, the voltage can be calculated by dividing the power by the current.

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Particles in the interstellar medium and photons from a particular radiation interact to reveal components of the medium.

B. From these upsides of the frequency of radiation used to recognize, the position of the mists is (longest frequency to most limited frequency),

The space between a galaxy's star systems is home to the matter and radiation known as the interstellar medium (ISM). Ionic, atomic, and molecular gas, dust, and cosmic rays are all examples of this matter. It occupies interstellar space and seamlessly blends into the intergalactic space that surrounds it.

The interstellar medium (ISM), which is the study of the atoms, molecules, and dust in the Milky Way between the stars, provides useful information about the star formation and planet formation processes.

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Answer:

I think it's B because if you put it in decimal form that would be it I THINK (anxiety)

Answer:

g e c a

Explanation:

Hope I helped!

When a single note is kept for a long time, it seems very soft to him. This is because he is standing at a point where the rarefactions of the sound wave from one speaker meet the compressions of the sound wave from the other speaker.

A longitudinal wave propagates by means of compressions and rarefactions. When a vibrating object motions forward, it shoves and compresses the air in a veneer of it building a region of high pressure. When a sound wave travels through a medium, say air, the particles of the medium disturb in the same fashion, i.e. compression and rarefaction. Compression is illustrated for the longitudinal waves in which the particles come nearer such that it is at high pressure.

Rarefaction is specified for the longitudinal waves in which the particles move apart such that it has low pressure.

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Answer:

as the skater moves from point D to point F the potential energy decreases due to an increase in kinetic energy.

Explanation:

the higher up the skatervis the more potential energy they have the lower they are the more kinetic wnergy they have.

In words, the R2 of 0.27 means that 27% of the variability in y (24-hour urinary Na) can be explained by x (estimated 24-hour urinary Na) obtained from casual urine specimens at one point in time.

The INTERSALT Study was designed to investigate the relationship between dietary sodium and blood pressure (hypertension) in populations worldwide.

The study included 10,079 men and women from 52 population samples in 32 countries. One of the goals of the study was to quantify the relationship between 24-hour urinary Na (y) and estimated 24-hour urinary Na (x) obtained from casual urine specimens at one point in time.

The investigators presented a simple linear regression of y on x, separately for men and women. The regression equation for men was: Y = 1.03x + 7.19, with R2 = 0.27, n = 1369.

The coefficient of determination, R2, is a statistical measure that represents the proportion of the variance for a dependent variable (y) that's explained by an independent variable (x) or variables in a regression model.

In this case, the R2 of 0.27 means that 27% of the variability in y (24-hour urinary Na) can be explained by x (estimated 24-hour urinary Na) obtained from casual urine specimens at one point in time. The remaining 73% of the variability in y is due to other factors that are not included in the regression model.

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It will cost Sam "1.45 p. per hr" to use an 85W laptop and a 60W lamp. To understand the calculation, check below.

According to the question,

Electricity cost = 10 p per unit

Laptop power = 85 W

Lamp power = 60 W

We know the standard unit, KW/hr = 1000 W/hr

then,

= 85 + 60

= 145 W

By fractioning,

= \(\frac{145}{1000}\)

= 0.145 KWH

hence,

The cost will be:

= 0.145 × 10 p

= 1.45 p. per hr

Thus the above approach is correct.

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The acceleration of cyclist is determined as 0.66 m/s².

The acceleration of the cyclist is calculated by applying Newton's second law of motion as follows;

F (net) = ma

where;

The net force on the cyclist is calculated as;

F (net) = 150 N - 84 N = 66 N

The acceleration of cyclist is calculated as follows;

a = F (net) / m

a = 66 N / 100 kg

a = 0.66 m/s²

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Answer:

241,274.32 inches

Explanation:

How far will he travel if the rear wheel makes 1200 revolutions on the road?

Since the rear wheel makes one revolution in the distance of a circumference of a circle, C with diameter, d = 16 inches

C = πd²/4

So, the distance, travelled in 1200 revolutions is D = 1200 × C = 1200πd²/4

Substituting d = 16 into D, we have

D = 1200πd²/4

D = 1200π(16)²/4

D = 76800π

D = 241,274.32 inches

Answer: d

Explanation:

2.1 As more resistors are added in parallel, the equivalent resistance approaches zero

2.2 Kirchhoff's loop rule is equivalent to the conservation of energy principle.

As more resistors are added in series, the equivalent resistance of the circuit approaches infinity. In contrast, as more resistors are added in parallel, the equivalent resistance approaches zero. This statement is TRUE. The equivalent resistance, Req, of a parallel combination of resistors is less than any of the resistors in the combination, while for a series combination it is equal to the sum of the resistances.

Kirchhoff's loop rule is equivalent to the conservation of energy principle. Kirchhoff's loop rule or Kirchhoff's voltage law (KVL) is a result of the conservation of energy principle. The principle of conservation of energy states that energy can neither be created nor destroyed, it can only be transformed from one form to another. In a closed loop, the total energy gained is equal to the total energy lost, according to the principle of conservation of energy.

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Speed and velocity are both physical quantities that describe the motion of an object, but they have distinct meanings. Speed refers to how fast an object is moving, while velocity refers to the speed of an object in a specific direction. While speed is a scalar quantity, velocity is a vector quantity.

Speed is defined as the rate at which an object covers a distance. It is a scalar quantity, meaning it only has magnitude and no specific direction. Speed is calculated by dividing the distance traveled by the time taken. For example, if a car travels 100 kilometers in 2 hours, the speed would be 50 kilometers per hour.

On the other hand, velocity includes both speed and direction. It is a vector quantity, meaning it has both magnitude and direction. Velocity describes the rate at which an object changes its position in a specific direction. For instance, if a car travels 100 kilometers in 2 hours towards the east, the velocity would be 50 kilometers per hour to the east.

In summary, speed refers to how fast an object is moving without considering its direction, while velocity takes into account both the speed and the direction of motion. Speed is a scalar quantity, while velocity is a vector quantity.

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Answer:

P = 0.2 W

Explanation:

Given that,

Force, F = 4 N

Displacement, d = 1 m (say)

Time, t = 20 s

We need to find the power output. Power is the rate of doing work. So,

P = W/t

\(P=\dfrac{Fd}{t}\\\\P=\dfrac{4\times 1}{20}\\\\P=0.2\ W\)

So, the required power is 0.2 W.

The momentum of the red cart before the collision is 0.2 kgm/s and the blue cart is 0.

The momentum of the red cart after the collision is 0.05 kgm/s and the blue cart is 0.15 kgm/s.

The change in momentum of the system of the carts is 0.

The momentum of the carts before the collision is calculated as follows;

P(red) = 0.5 kg x 0.4 m/s = 0.2 kgm/s

P(blue) = 1.5 x 0 = 0

The momentum of the carts after the collision is calculated as follows;

P(red) = 0.5 x 0.1 = 0.05 kgm/s

P(blue) = 1.5 0.1 = 0.15 kgm/s

\(\Delta P = P_f - P_i\)

ΔP = (0.05 + 0.15) - (0.2)

ΔP = 0

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The components of the vector v are given as:

where v is the magnitude of the vector and theta is the angle.

In this case we have v=253 and theta=55.8°, plugging this values into the y component we have:

Therefore the y component is 209.25 meters.

The optimal values of \(q_1\) and \(q_2\) are determined by these equations, which are functions of Michael's income and the prices of the goods.

The given problem describes Michael's utility maximization problem with a constant elasticity of substitution (CES) utility function. The objective is to find the optimal values of \(q_1\) and \(q_2\) in terms of Michael's income (Y) and the prices of the two goods (\(p_1\) and \(p_2\)).

1. Substitute the income constraint into Michael's utility function:

\(U(q_1, q_2) = (q_1^\rho + q_2^\rho)^(1/\rho)\)

  s.t. \(Y = p_1q_1 + p_2q_2\)

  We can rewrite Michael's budget constraint as \(q_2 = (Y - p_1q_1)/p_2\). Substituting this expression into his utility function, we have:

 \(U(q_1, p_2, Y) = (q_1^\rho + [p_2(Y - p_1q_1)/p_2]^\rho)^{(1/\rho)\)

  By making this substitution, we have converted the constrained maximization problem with two control variables (\(q_1\) and \(q_2\)) into an unconstrained problem with one control variable \((q_1)\).

2. Use the standard unconstrained maximization approach to determine the optimal value for \(q_1\). To obtain the first-order condition, we differentiate the utility function with respect to \(q_1\) and set it equal to zero:

\(\delta U / \delta q_1 = \rho(q_1^{(\rho-1)} + \rho[p_2(Y - p_1q_1)/p_2]^{(\rho-1)}(-p_1/p_2)) = 0\)

Simplifying and solving for \(q_1\):

\(\rho q_1^{(\rho-1)} - \rho(p_1/p_2)[p_2(Y - p_1q_1)/p_2]^{(\rho-1)} = 0\)

\(\rho q_1^{(\rho-1)} - \rho(p_1/p_2)[Y - p_1q_1]^{(\rho-1)} = 0\)

\(\rho q_1^{(\rho-1)} = \rho(p_1/p_2)[Y - p_1q_1]^{(\rho-1)}\)

\(q_1^{(\rho-1)} = (p_1/p_2)[Y - p_1q_1]^{(\rho-1)\)

\(q_1^{(\rho-1)} = (p_1/p_2)^{(1-\rho)}[Y - p_1q_1]^{(\rho-1)}\)

\(q_1^{(\rho-1)} = (p_1/p_2)^{(1-\rho)}(Y - p_1q_1)^{(\rho-1)}\)

\(q_1^{(\rho-1)} = (p_1/p_2)^{(1-\rho)}(Y^{(\rho-1)} - (\rho-1)p_1q_1(Y - p_1q_1)^{(\rho-2)})\)

  This equation represents Michael's optimal \(q_1\) as a function of his income (Y) and the prices (\(p_1\) and \(p_2\)).

3. Similarly, we can derive a similar expression for his optimal \(q_2\):

\(q_2^{(\rho-1)} = (p_2/p_1)^(1-\rho)(Y^{(\rho-1)} - (\rho-1)p_2q_2(Y - p_1q_2)^{(\rho-2)})\)

  This equation represents Michael's optimal \(q_2\) as a function of his income (Y) and the prices (\(p_1\) and \(p_2\)).

Therefore, these equations, which depend on Michael's income and the prices of the commodities, determine the ideal values of \(q_1\) and \(q_2\).

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Convex mirror is used on both sides of the vehicle to see large areas.

To find the answer, we need to know about convex mirror.

What is convex mirror?

Thus, we can conclude that the convex mirror is used on both sides of the mirror to view large areas.

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Answer:

Explanation:

The magnetism of a permanent magnet results from the magnetic moments of electrons in the material making up the magnet interactions with Earth's magnetic field the magnetic moments of nuclei in the material making up the magnet electric currents inside the magnet.

Explanation:

do we can say that the first step is finding the acceleration of the object. We do so by saying F = ma

so a = F/m

a = 500 m/s^2

we now have the time, acceleration and initial velocity.

so we can find the final velocity by using one of newtons equations which is: vf = vi + at

so:

vf = 0 + 500 × 12

vf = 6000

note that our initial velocity was zero since the object was initially at rest.

if you still have any doubt dont hesitate to ask for further help.

Answer:

a

Explanation:

The substance will be reduced to 1/16 of A present, that is 1 lb, in 95 hours.

Let the initial amount of A present be X lb. The rate of decomposition of A is proportional to the amount of A present. Therefore, the rate of decomposition = k * X where k is the proportionality constant. We know that 1 lb of A will reduce to 4 lb in 38 hours. So, the rate of decomposition = X/38.

Also, the rate of decomposition = k * X. Comparing both the equations, k = 1/38. Therefore, the rate of decomposition = X/38A substance will reduce to 1/16 of A present i.e., X/16. Using the equation for the rate of decomposition, we get, X/16 = (1/38)*X*(t). Simplifying, we get t = 95 hrs. Hence, the substance will be reduced to 1/16 of A present, that is 1 lb, in 95 hours.

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The work required to empty the cylindrical tank that is half full of water by pumping the water to a level 2 m above the top of the tank is 19695.61897 J.

To determine the work required to empty the cylindrical tank that is half full of water by pumping the water to a level 2m above the top of the tank, the following steps can be followed:

Find the volume of the water in the tank as follows:

V = (πr²h)/2, where V is the volume of water, r is the radius of the cylindrical tank, and h is the height of water in the tank.

Substituting the values given in the question,

V = (π × (0.8 m)² × 1 m)/2 = 1.00530965 m³

Now find the mass of the water as follows:-

The density of water = 1000 kg/m³

Mass = Density × Volume = 1000 kg/m³ × 1.00530965 m³ = 1005.30965 kg

Next, find the potential energy of the water:-

PE = m*g*h, where m is the mass of the water, g is the acceleration due to gravity, and h is the height of the water above the top of the tank.

Substituting the values given in the question,

PE = 1005.30965 kg × 9.81 m/s² × 2 m = 19695.61897 J

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Answer:

Explanation:

The acceleration of an object given it's mass and the force acting on it can be found by using the formula

\(a = \frac{f}{m} \\ \)

f is the force

m is the mass

From the question we have

\(a = \frac{500}{65} = 7.692307... \\ \)

We have the final answer as

Hope this helps you