A spring with a force constant of 3x10^3 Nm-1 is used to measure the mass of an object. If the spring extends by 5cm when the object is hung from it, the mass of the object is

25.1 grams are still present after 8.1 days. When the Gold-198 has a half-life of 2.7 days.

The act of producing radiation spontaneously is known as radioactivity. This is accomplished by an unstable atomic nucleus that wants to give up some energy in order to move to a more stable form.

The half-life of the gold  =2.7 days

Sample size  = 200 grams

N is the left amount after the given time =?

Constant of rate = 0.26

The rate constant is found as;

[tex]\rm \lambda = \frac{0.693}{t^{\frac{1}{2}}} \\\\ \lambda = 0.256 \ days^{-1}[/tex]

The amount after the given time;

[tex]\rm N=N_0 \times e^{-\lambda t} \\\\\ N = 200 \times e^{-0.256 \times 8.1 \ days} \\\\N=25.1 \ gm[/tex]

Hence,25.1 grams are still present after 8.1 days.

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Answer:

first answer:He can promote healthier start in the children's life by trying to avoid what he encounter when he has no access to health care.

The Sun is 400 times larger than the Moon, yet since it is 400 times further away from Earth than the Moon, they appear to be the same size in the Earth's sky.

Muscular Endurance refers to the ability for a muscle to work against a resistance for an extended period of time

Endurance :-

Perseverance is connected with the capacity to perform work over a drawn out timeframe. Youngsters, for instance, can play effectively for hours. Endurance can be impacted by a singular muscle, a muscle bunch, or the complete body. Muscle perseverance mirrors the capacity to support rehashed muscle compression and is connected with muscle strength.

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Emotional health: expressing feelings is the phrases that belong together. The best answer from the choices provided willl be A.

The condition of complete physical, mental, and the absence of sickness and disability is called good health.

Which of the following phrases belong together?

A.

emotional health: expressing feelings

B.

physical well-being: regard for others

C.

Social health: obtaining enough sleep  

D

Mental health: living in harmony with the environment

The concepts "emotional wellness" and "expressing feelings" go hand in hand. The best response from the available options is going to be A.

Hence, the best answer from the choices provided willl be A.

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The combined mass the quarters, given that the modern and old quarters has masses of 5.623 g and 6.24 g respectively is 11.863 g

The combine mass of the quarter can be obtained by simply adding the masses of the individual quarters together. This is illustrated below:

Combine mass = mass of modern + mass of old

Combine mass = 5.623 + 6.24

Combine mass = 11.863 g

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Any temperature, as long as gravity is strong enough, may cause hydrogen fusion in the Sun, which requires a temperature of millions of degrees. Option A is correct.

When the temperature in the core hits around 100 million degrees, the helium will begin to fuse into carbon in a mechanism known as the triple-alpha process

Any temperature may result in hydrogen fusion in the Sun, which needs a temperature of millions of degrees, as long as gravity is strong enough.

Hence option A is correct.

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The function of V" in this designation is A. That the sun is a main sequence star

It should be noted that the sun is the star at the center of the solar system.

In this case, the function of V" in this designation is that the sun is a main sequence star

In conclusion, the correct option is A.

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Answer:

B

Explanation:

If the liquid leaked, there would be less pressure and thus less force which is only reflected by one answer choice.

Taking into account the definition of pH and pOH, the concentration of H⁺ ions at pH=8 is 1×10⁻⁸ M and the concentration of OH⁻ ions at pH=8 is 1×10⁻⁶ M.

pH is a measure of acidity or alkalinity that indicates the amount of hydrogen ions present in a solution or substance.

The pH is defined as the negative base 10 logarithm of the activity of hydrogen ions, that is, the concentration of hydrogen ions or H₃O⁺:

pH= - log [H⁺]= - log [H₃O⁺]

Similarly, pOH is a measure of hydroxyl ions in a solution and is expressed as the logarithm of the concentration of OH⁻ ions, with the sign changed:

pOH= - log [OH⁻]

The following relationship can be established between pH and pOH:

pOH + pH= 14

In this case, pH=8. Replacing in the definition of pH:

8= - log [H⁺]

Solving:

[H⁺]= 10⁻⁸= 1×10⁻⁸ M

Finally, the concentration of H⁺ ions at pH=8 is 1×10⁻⁸ M.

Being pH= 8, pOH is calculated as:

pOH + 8= 14

pOH= 14 - 8

pOH= 6

Replacing in the definition of pOH the concentration of OH⁻ ions is obtained:

- log [OH⁻]= 6

Solving

[OH⁻]= 10⁻⁶= 1×10⁻⁶ M

Finally, the concentration of OH⁻ ions at pH=8 is 1×10⁻⁶ M.

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Answer:

B.

Explanation:

The addition of vectors is commutative, so adding in any order will lead to the same result; just draw a straight line from the starting point to the tip of the final vector.

The event in the life of a star that begins its expansion into a giant is that almost all the hydrogen in its core that was hot enough for fusion has been turned into helium.

A fusion reaction is defined as the type of nuclear reaction whereby two or more atomic nuclei combine to form a heavier nucleus.

The stars are being transformed into giants through fusion reaction.

A higher amount of hydrogen is found in the core of the star which is being use up in the fusion reaction to form helium.

When the hydrogen in the centre of a star runs out, the star begins to use hydrogen further out from its core. This causes the outer layers of the star to expand and cool.

Therefore, the event in the life of a star that begins its expansion into a giant is that almost all the hydrogen in its core that was hot enough for fusion has been turned into helium.

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Answer:

It is a piezoelectric material. It produces and accumulates electric charge when subjected to mechanical stress

Explanation:

Hello !

Contact force:-A contact force is any force that requires contact to occur. examples Applied force,

Normal force,

Frictional force,

Tension force,

Air resistance force,

Spring force.

Non-contact force:-is a force which acts on an object without coming physically in contact with it. types of non-contact forces are gravitational force, magnetic force, electrostatic and nuclear force.

frictional force:-is the force resisting the relative motion of solid surfaces, fluid layers, and material elements sliding against each other.

Normal reaction force:-A force acting perpendicular to two surfaces in contact with each other.

The tension force is defined as the force that is transmitted through a rope, string or wire when pulled by forces acting from opposite sides.

The force exerted by a spring on objects attached to its ends is proportional to the spring's change in length away from its equilibrium length and is always directed towards its equilibrium position. F = -kx. The proportional constant k is called the spring constant.

During the collision, each body exerts a force on the other. This force is called an impulsive force.

The gravitational force :-is a force that attracts any two objects with mass. We call the gravitational force attractive because it always tries to pull masses together, it never pushes them apart.

The electrostatic force is also known as the Coulomb force or Coulomb interaction. It's the attractive or repulsive force between two electrically charged objects.

magnetic force, attraction or repulsion that arises between electrically charged particles because of their motion.

The translational kinetic energy of the truck is 75000 Joules (J). The correct answer is 75000 Joules (J).

Given information:

Mass of the truck (m) = 1500 kg

Speed of the truck (v) = 10 m/s

The translational kinetic energy (KE) of an object is given by the formula:

KE = (1/2) × m × v²

where:

KE is the translational kinetic energy,

m is the mass of the object,

v is the speed of the object.

The translational kinetic energy of the truck:

KE = (1/2) × 1500 × (10)₂

KE = (1/2) × 1500 × 100

KE = 75000

KE = 75000 Joules (J)

So, the translational kinetic energy of the truck is 75000 Joules (J).

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Velocity, acceleration, force, and displacement, have magnitude and direction (ie vector quantity) in common

This is a which have both magnitude and direction. Example include:

This is a quantity which has magnitude but no direction. Example include:

From the above, we can see that velocity, acceleration, force, and displacement, have magnitude and direction (ie vector quantity) in common

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The action that  humans can take to reduce wave erosion is to build breakwaters in the ocean.

The term erosion has to do with the washing away of top soil either by water or by wind. The control of erosion is a very important soil conservation effort.

Hence, the action that  humans can take to reduce wave erosion is to build breakwaters in the ocean.

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Answer: (C) build breakwaters in the ocean

Explanation: Got it on edge

The statement that illustrates how progress in engineering has affected the natural environment is extracting mineral resources with modern mining equipment removes fertile topsoil.

The natural environment may be defined as anything that can be present in the surroundings of living entities whether it is a biotic or abiotic factor.

The utilization of contemporary mining tools terminates fertile topsoil and admiringly impacts the fertility of the soil.  It is tough to rebuild topsoil and modern mining tools constantly damage soil fertility.

Advancement in engineering has influenced the natural environment and mining is one of the most accepted measures of this.

The complete question is as follows:

Therefore, it is well described above.

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The likely outcome when a hyperpolarizing and a depolarizing potential of similar magnitudes arrive simultaneously at the trigger zone is the cancellation of charges.

Membrane action potential refers to differential electric charges within and outside of a given cell.

Hyperpolarization refers to a differential membrane potential of a cell associated with a negative charge, whereas depolarization is associated with a positive charge.

In conclusion, the likely outcome when a hyperpolarizing and a depolarizing potential of similar magnitudes arrive simultaneously at the trigger zone is the cancellation of charges.

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Answer:

a. Displacement=30²+5²=925= 30.4m

b. Total distance=30m+5m=35m

c. V=s/t. = 30.4/45=0.6m/s

The equivalent resistance of the circuit will be option (D) 80.0 Ω

According to Ohm's law, the voltage across two places is precisely proportional to the current flowing through a conductor between them.

The obstruction to current flow in an electrical circuit is measured by resistance. The Greek letter omega (Ω) represents the unit of measurement for resistance, known as ohms. Georg Simon Ohm is the name given to ohms.

Since in the given figure the resistance are in series so there equivalent resistance will be sum of the two resistance. If they were in parellal connection then we will add reciprocal of their resistance.

Let R1 = 60 Ω and R2 = 20 Ω. So their equivalent resistance will be as follow:

R = R1 + R2

R = 60 + 20

R = 80 Ω

Hence the equivalent resistance of the circuit will be 80 Ω

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The velocity of the ball going when it reaches the base of the hill will be 5.5 m/sec.

The change of distance concerning time is defined as speed. Speed is a scalar quantity. It is a time-based component. Its unit is m/sec.

The complete question is;

A 10 kg ball is released from the top of a hill. How fast is the ball going when it reaches the base of the hill? Approximate g as 10 m/s2 and round the answer to the nearest tenth.

hy = 2 m

h = 0.5 m

The given data in the problem is

m is the mass of block =  10 Kg

u is the initial velocity of fall = 0 m/sec

h is the distance of fall =  2.5 m

g is the acceleration of free fall =10 m/sec²

v is the hitting velocity of =?

According to Newton's third equation of motion;

[tex]\rm v^2=u^2+2g(h_2-h_1) \\\\ \rm v^2=0+2g(h_2-h_1) \\\\ v = \sqrt{2g(h_2-h_1)}\\\\ v = \sqrt{2 \times 9.81 \times (2-0.5)|}\\\\ v =\sqrt{2 \times 9.81 \times 1.5 } \\\\ v = 5.5 \ m/sec[/tex]

Hence, the velocity of the ball going when it reaches the base of the hill will be 5.5 m/sec.

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Answer:current

Explanation:water flows down a river. Current flows down a wire (in the drude model, at least)

Answer:

electricity

Explanation:

Answer:

a) Let horizontal component be h

4/3×h= 9

4h = 9x3

h = 27/4

b) Magnitude = √ [9²+ (27/4)²

= 11.25

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The potential energy of the bowling ball due to its position above the ground is 137.2 Joules. Therefore, the correct answer is 137 J The correct option is (b).

Given:

mass (m) = 7.00 kg

gravitational acceleration (g) = 9.80 m/s²

height (h) = 2.00 m

The potential energy of the bowling ball due to its position above the ground, we can use the formula for gravitational potential energy:

Potential Energy (PE) = mass × gravitational acceleration × height

The potential energy:

PE = 7.00  × 9.80 × 2.00 m

PE = 137.2 Joules

So, the potential energy of the bowling ball due to its position above the ground is 137.2 Joules. Therefore, the correct answer is 137 J (b).

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The energy of a wave is directly proportional to the square of the amplitude of the wave.

There is direct relationship between energy of the wave and the amplitude of the wave. The energy transported by a wave is directly proportional to the square of the amplitude of the wave. This means if energy is increase the amplitude of wave becomes double and vice versa.

Energy = (amplitude)2

So we can conclude that the energy of a wave is directly proportional to the square of the amplitude of the wave.

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[tex]Energy = (amplitude)^{2}[/tex]

Energy is define as the capacity for doing work.

Amplitude is the maximum displacement or distance moved by a point on a vibrating body or wave measured from its equilibrium position.

So , the relationship between energy of the wave and the amplitude of the wave is described as the energy transported by a wave is directly proportional to the square of the amplitude of the wave.

Here , If energy is increase the amplitude of wave becomes double.

[tex]Energy = (amplitude)^{2}[/tex]

Hence , the energy of a wave is directly proportional to the square of the amplitude of the wave.

By using the above equation if the amplitude is 6 Units then :

Energy = [tex](6)^{2}[/tex] = 36 units

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The magnitude and direction (inward or outward) of the net flux through the cell boundary is - 0.887 wb.m².

Flux describes any effect that appears to pass or travel through a surface or substance.

The magnitude and direction (inward or outward) of the net flux through the cell boundary is calculated as follows;

Ф = Q/ε

where;

Φ = (-7.85 x 10⁻¹²)/(8.85 x 10⁻¹²)

Φ = - 0.887 wb.m²

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Answer:

Frequency

Explanation:

speed = wavelength * speed

The change in the momentum of the cart,given the data is 0.06 Kgm/s (Option D)

Momentum is defined as the product of mass and velocity. It is expressed as

Momentum = mass × velocity

Change in momentum = mass (final velocity - initial velocity)

From the data given above, the following data were obtained:

Change in momentum = m(v + u) (renounce)

Change in momentum = 0.5 (-0.24 + 0.36)

Change in momentum = 0.5 × 0.12

Change in momentum = 0.06 Kgm/s

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