Astrology, that unlikely and vague pseudoscience, makes much of the position of the planets at the moment of oneâs birth. The only known force that a planet could exerts on us is gravitational, so if there is anything to astrology we should expect this force to be significant.

Required:
a. Calculate the gravitational force, in Newtons, exerted on a 4.1 kg baby by a 120 kg father who is a distance of 0.18 m away at the time of its birth.
b. Calculate the force on the baby, in Newtons, due to Jupiter (the largest planet, which has a mass of 1.90Ã10^27 kg if it is at its closest distance to Earth, 6.29Ã10^11 m away.
c. What is the ratio of the force of the father on the baby to the force of Jupiter on the baby?

Hooke's Law can be given as follows sometimes:

The restoring force of a spring is equal to the spring constant multiplied by the displacement from its normal position:

F = -kx

Where, F = Restoring force of a spring (Newtons, N)

k = Spring constant (N/m)

x = Displacement of the spring (m)

The negative sign relates to the direction of the applied force and by convention, the minus or negative sign is present in F = -kx. The restoring force F is directly proportional to the displacement (x), according to Hooke's law. When the spring is compressed, the displacement (x) is negative. It is zero when the spring is at its original length and positive when the spring is extended.

Practically, Hooke's Law is applicable only within a limited frame of reference, and through experimenting, this statement proves to be true. Because materials cannot be compressed beyond a certain size or expanded beyond a certain size without some permanent deformation or change of their original state.

The law only applies under some conditions such as a limited amount of force or deformation. Factually, many materials will noticeably deviate from Hooke's law even before those elastic limits are reached.

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Answer: Aspirin is recommended as initial treatment to prevent recurrent ischemic stroke. Clopidogrel is recommended as an alternative monotherapy and in patients allergic to aspirin. The combination of clopidogrel and aspirin is not recommended for long-term use (more than two to three years) because of increased bleeding risk. Aspirin has been shown to lower the risk of heart attack and stroke in patients who have cardiovascular disease.

Explanation:

The bottom of a cylindrical water tank, 10 m tall and 6 m in diameter, is 25 m above the ground. According to calculations, the water pressure and force at the bottom of the tank are 343,000 Pascal and 9,685,941 Newtons, respectively.

A water pipe at ground level has the same pressure as one at the tank's base. The rate of water egress from a leak 8 metres above the ground is around 19.6 metres per second.

These calculations are based on the conservation of energy and hydrostatic principles.This pressure can also be found in a ground-level water pipe. Water will seep from a leak 8 metres above the ground at a speed of about 19.6 metres per second.

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Answer:

1. 13..6 grams per centimeters cubed.

2. Mass = 400kg

3. Volume = 200cm = 2m

Explanation:

1. The conversion for kg/m^3 to g/cm^3 is divide by 1000.

2. \(density=\frac{mass}{volume}\)

\(1000=\frac{mass}{2 * 1 * 0.2}\)

\(1000*0.4=mass\)

\(400kg = mass\)

3. \(density=\frac{mass}{volume}\)

\(0.6=\frac{120}{volume}\)

\(volume=\frac{120}{0.6}\)

\(volume= 200cm\)

when we burn a paper it undergoes the combustion reaction.

According to the given statement:

I) acceleration a=2m/s²

ii) deceleration a=−1  m/s²

iii) the distance travelled =200  m.

Velocity's rate of change with time, in both terms of speed and direction. A point or object moving straight ahead is accelerated when it increases or decelerates. Even if the speed remains constant, motion on the a circle increases because the orientation is always shifting.

Briefing:

You use the standard formulas for distance as a function of speed, acceleration and time:

st = v0t + 0.10at²  for acceleration ( a >0) and deceleration ( a <0), or at constant speed ( a =0).

Now  a  is not given for acceleration and deceleration, so we need to compute this from

vt=v₀+at

Acceleration:  

20=10a⟹a=2m/s²

Distance travelled:  

0.10∗10∗10²=100  m

Distance travelled while at constant speed:

s=vt=20∗20=400  m

Deceleration:  

0=20+20a⟺a=−1  m/s²

Distance travelled:

20∗20+0.1(−1)20²=400−2∗100

=200  m.

So the total distance travelled is  100+400+200=700m

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Answer:

Both of Arnell and Adeen are right.

Explanation:

For Adeen, hammering the wire makes it flat, effectively reducing the cross sectional area, and increasing the length of the wire. Recall that the resistivity of a metal conductor increases with length and decreases with cross sectional area. From this, we can see that the resistance of the wire will increase due to the hammering. This means Adeen is correct.

For Arnell, heating a metal causes the atoms along with their electrons to vibrate in a random manner. These random motions is not organised and can be in any direction. For electricity to flow smoothly, the electrons must travel in the same direction in an orderly fashion. The randomly vibrating atoms will continuously bump into the flowing electron, resisting the smooth motion of the electrons. This collisions results in an additional resistance, hence, the resistance is increased. This means Arnell is correct.

Answer:

35 N to the left

Explanation:

Do 65 minus 30, and you get 35 N to the left

Because force is a vector quantity, you have to mention both magnitude and direction in your answer.

The statement included in the hypothesis are as follows:

Hypothesis in an experiment is a tentative conjecture explaining an observation, phenomenon or scientific problem that can be tested by further observation, investigation and/or experimentation.

A hypothesis in an experiment is also referred to as an educated guess because it predicts the outcome of an observation that can be tested via experimentation.

According to this question, a hypothesis was given in the IF, THEN format as follows:

IF a solution is an acid, THEN it will have a pH below 7, and if the solution is a base, it will have a pH above 7 since the pH value is determined by the concentration of H+ and OH– ions.

The above hypothesis connects pH of a solution to the acidic or alkaline nature of the solution. The IF part explains the characteristics of the solution while the THEN part throws more light on the measurable variable, which is the pH.

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Answer:

the answer is b reducing the thickness of the conductor

Explanation:

The resistance to electric current increases as the cross-section of the conductor is reduced, as the conductor is lengthened, and as the conductor is heated. Replacing the conductor with a less-conductive material increases the resistance as well.

Answer:

Reducing the thickness of the conductor

Explanation:

Answer:

a is the answer

Explanation:

We are given the following problem:

To determine the electric force between the protons we will use Coulomb's law, that is:

Where "k" is Coulomb's constant and is equivalent to:

Since the charges are equal we have:

Replacing the values:

Simplifying:

Solving the operations:

Therefore, the magnitude of the repulsive force is 57.6N.

The distance is 34m , magnitude of the displacement is 6m and direction of displacement is towards west.

As per question, a dog walks 14 meters to the east and then 20 meters back to the west.

The distance moved for this motion is given below,

Distance = 14 + 20 m = 34m

The magnitude of the displacement and its direction are given below:

Displacement = 14 - 20 m = - 6m

negative sign indicates that the direction of displacement is towards west.

Magnitude of the displacement = 6m

Thus, the distance is 34m ,direction of displacement is towards west and  magnitude of the displacement is 6m.

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The kinetic energy of the bike is 480J

The resistance indicated by the platinum thermometer at 200°C is 1.648 times the reference resistance Ro at 0°C.

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The area in square meters and the uncertainty is 9768 ± 18.33 m².

To calculate the area of the field, we need to multiply the length by the width:

Area = length x width

Using the values given, we have:

Length = 132 ± 2.2 m

Width = 74 ± 1.6 m

To include the uncertainty in the area calculation, we need to use error propagation. The formula for error propagation in multiplication is:

δz = z * √((δx/x)^2 + (δy/y)^2)

where δz is the uncertainty in the result z, δx and δy are the uncertainties in x and y respectively, and x and y are the measured values.

Using this formula, we can calculate the uncertainty in the area as:

δA = A * √((δlength/length)^2 + (δwidth/width)^2)

Substituting the values, we get:

δA = (132 x 74) * √((2.2/132)^2 + (1.6/74)^2)

δA ≈ 18.33

Therefore, the area of the field is:

A = length x width

A = 132 m x 74 m

A ≈ 9768 m²

And the uncertainty in the area is approximately 18.33 m².

Therefore, we can express the area as:

Area = 9768 ± 18.33 m²

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a) , it would take approximately 0.4638 seconds for the magnetic energy to decay to 13% of its maximum value.. b)  the voltage across the inductor at the instant when the magnetic energy has decayed to 13% of its maximum value is 6.4 times the initial current in the circuit.

An RL circuit consists of a resistor (R) and an inductor (L) connected in series. When a battery is connected to the circuit, the inductor stores magnetic energy, which creates a magnetic field. When the battery is removed, the magnetic energy in the inductor begins to decay, and the magnetic field collapses, inducing a voltage across the inductor.

a) The time constant (τ) of an RL circuit is given by the formula:

τ = L/R

where L is the inductance in henries, and R is the resistance in ohms. The time constant represents the time required for the magnetic energy to decay to approximately 36.8% of its maximum value.

In this case, L = 5 H and R = 22 ohms. Therefore, the time constant of the circuit is:

τ = L/R = 5 H / 22 ohms = 0.2273 seconds

To calculate the time required for the magnetic energy to decay to 13% of its maximum value, we can use the formula:

t = -ln(0.13) * τ

where ln is the natural logarithm. Plugging in the values, we get:

t = -ln(0.13) * 0.2273 seconds

t = 0.533 seconds

Therefore, it would take approximately 0.533 seconds for the magnetic energy in the inductor to decay to 13% of its maximum value.

b) To find the voltage across the inductor at that instant, we can use the formula:

V = L * di/dt

where V is the voltage across the inductor, L is the inductance, and di/dt is the rate of change of the current in the circuit.

At the instant when the magnetic energy in the inductor has decayed to 13% of its maximum value, the current in the circuit is given by:

I = I0 * e^(-t/τ)

where I0 is the initial current, and e is the mathematical constant approximately equal to 2.71828. Plugging in the values, we get:

I = I0 * e^(-0.533/0.2273)

I = 0.292 * I0

Therefore, the rate of change of current (di/dt) at that instant is given by:

di/dt = I / τ = (0.292 * I0) / 0.2273

Now, we can calculate the voltage across the inductor:

V = L * di/dt = 5 H * (0.292 * I0 / 0.2273)

V = 6.4 * I0 volts

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One mile is approximately 1609 meters and one hour is 3600 seconds.

Then:

Since the car goes from 0 to 26.82m/s in 3.3 seconds, then, the acceleration of the car is:

Since 6.7m/s^2 is less than 8.13m/s^2, then, the acceleration of her car is slower than the advertisement claims.

The time t that it takes to reach the speed v from rest with an acceleration a is:

Replace v=60mph, convert it to SI units and replace a=6.7m/s^2 to find the time that it takes to reach 60mph:

Therefore, the answers are:

Part a) 60mph is equal to 26.82 m/s.

Part b) The acceleration of the car as advertised is 8.13 m/s^2.

Part c1) Her car's acceleration is slower than the advertisement claims.

Part c2) It takes 4 seconds for her car to reach 60mph.

When developing an experimental design, the action that would improve the quality of the results is to ensure that it answers a question about cause and effect.

Experimental design is a concept used to organize, conduct, and interpret results of experiments in an efficient way, making sure that as much useful information as possible is obtained by performing a small number of trials.

Thus, when developing an experimental design, the action that would improve the quality of the results is to ensure that it answers a question about cause and effect.

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Answer:

V(3) =14i^ -34j^ +8.57 k^

S(3) =(25,-45,3.97)

Explanation:

We know that

V =a dt

from t=0 to 3s

V = 4i - 6tJ + sin(.2t)k m/s² dt

V =4t i^ - 3t^2j^ - cos(2t)/2 k^ +C

So we have

V(0) =-1/2 k^ +C =2i -7j +8.4 k

C=2i -7j +8.9k^

V =4t i^ - 3t^2j^ - cos(2t)/2 k^ + 2i -7j +8.9k^

Then putting 3s

V(3) =14i^ -34j^ +8.57 k^

Also

S(t) =V(t) dt

S(t) = 4t i^ - 3t^2j^ - cos(2t)/2 k^ + 2i -7j +8.9k^] dt

S(t)= (2t^2 +2t)i^ - (t^3 +7t) j^ -[sin(2t)/4 - 8.9t] k^ +C =i+3j-5k

So at t= 0 we have

S(0) = C= i+3j-5k

So S(t) =(2t^2 +2t)i^ - (t^3 +7t) j^ -[sin(2t)/4 - 8.9t] k^ +i+3j-5k

When t= 3

S(3) =25i -45j + 3.97k

S(3) =(25,-45,3.97)

Answer:

Refraction

Explanation:

When light passes from a rarer medium into a denser medium, it bends in the medium away from the normal. This creates the phenomenon of "apparent depth" as given in the question.

Answer: 520 nm; 5.77 × 1014 Hz; 3.82 × 10−19 J

The traffic cop needs 23.3 seconds to pass the automobile.

When your velocity (not speed) changes, you are accelerating. A automobile moving at a steady 100 km/h in a straight line has no acceleration. Average acceleration is equal to (change in velocity) / (duration). The car's acceleration is zero because its change in velocity is also zero.

\(d1 = v1*t1 = 35.0 m/s * 1 s = 35.0 m\)

\(d = d1 = 35.0 m\)

\(d2 = v2*t + (1/2)at^2\)

\(d2 = (1/2)at^2\)

\(v2*t + (1/2)at^2 = (1/2)at^2\)

\(v2*t = (1/2)at^2\)

Solving for t, we get:

\(t = (2v2/a) = (235.0 m/s)/3.0 m/s^2 = 23.3 s\) (rounded to 2 decimal places)

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Answer:

Explanation:

A )

Magnetic field due to a long wire

B = (μ₀ / 4 π ) x( 2i / r )

= 10⁻⁷ x 2 i / r

where i is current , r is distance of point from the wire

Magnetic field at a point in between the wire will be total of magnetic field generated by both the wires

= 10⁻⁷ [ ( 2 x 2.2 / .009 - 2 x 2.2 / .009 ) ]

= 0

The magnetic field acts in opposite direction so they cancel out each other .

B )

At this point their magnetic field will add up

Net magnetic field

=  10⁻⁷ [ ( 2 x 2.2 / .018 + 2 x 2.2 / .036 ) ]

=  10⁻⁷ [ ( 244.44 + 122.22 ) ]

= 10⁻⁷ x 366.66

= 366.66  x 10⁻⁷ T .

C ) Force on a wire in a magnetic field = BiL where B is magnetic field , i is current and L is length of the wire . If length is one then

force = Bi

magnetic field on each wire

= B = (μ₀ / 4 π ) x( 2i / r )

= 10⁻⁷ x 2 x 2.2 / .018

= 244.44 x 10⁻⁷ T

force on each per unit length

= Bi

= 244.44 x 10⁻⁷ x 2.2

= 537.77 x 10⁻⁷ N /m

This is force of interaction between the two wires . Since direction of current is same , they will attract each other .

In a DC generator, the generated electromotive force (emf) is directly proportional to the rotational speed of the generator's armature and the strength of the magnetic field within the generator.

This relationship is described by the equation for the generated emf in a DC generator:

Emf = Φ * N * A * Z / 60

Where:

Emf is the generated electromotive force (in volts),

Φ is the magnetic flux density (in Weber/meter^2\(meter^2\) or Tesla),

N is the number of turns in the armature winding,

A is the effective area of the armature coil (in square meters),

Z is the total number of armature conductors, and

60 is a constant representing the conversion from seconds to minutes.

From this equation, we can see that the generated emf is directly proportional to the magnetic flux density (Φ) and the product of the number of turns (N), effective area (A), and the total number of armature conductors (Z). This means that increasing any of these factors will result in a higher generated emf.

The magnetic flux density (Φ) can be increased by using stronger permanent magnets or increasing the strength of the field windings in the generator.

The number of turns (N) and the effective area (A) are design parameters and can be optimized for a specific generator. Increasing the number of turns or the effective area will result in a higher generated emf.

Similarly, the total number of armature conductors (Z) can be increased to enhance the generated emf.

By controlling and optimizing these factors, the generated emf in a DC generator can be increased, resulting in higher electrical output. However, it is important to note that there are practical limits to these factors based on the design and construction of the generator.

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Answer:

Explanation:

a