A small ball weighs 1.4 N.
gravitational field strength, g = 9.8 N / kg
Calculate the mass of the ball.​

the mass of 1cm3 of mercury is 13.6g because

the formula of density is mass/volume and when paste the number in it. you get the answer

Answer:

Centripetal acceleration is the acceleration of an object traveling in a circle, while linear acceleration is the acceleration of an object traveling in a straight line.

Answer:

Centripetal acceleration is the acceleration of an object traveling in a circle, while linear acceleration is the acceleration of an object traveling in a straight line. ... Meanwhile linear acceleration is the rate of change of linear velocity, which is the velocity of an object traveling in a straight line.

Answer:

0.241

Explanation:

resolving weight into two components and calculating force of friction in terms of coefficient of friction and then applying Newton 's law we get the value .This all has been explained in attachment

Final answer:

To calculate the coefficient of friction for a box sliding down a ramp, we consider the forces acting on the box, including gravity, normal force, and friction. The frictional force equals the coefficient of friction times the normal force that comes out to be 0.24

Explanation:

To find the coefficient of friction for a 10 kg box accelerating down a ramp at 2 meters per second² at an angle of 25 degrees, we can use the following physics concepts. First, we identify the forces acting on the box: gravity, normal force, friction, and the resultant force causing the acceleration. We can calculate the component of the gravitational force parallel to the ramp (which is mg sin(25°)), and the normal force (which is mg cos(25°), where m is the mass of the box and g is the acceleration due to gravity).

The frictional force ([tex]F_{f}[/tex]) opposes the motion and can be expressed as [tex]F_{f}[/tex] = μN, where μ is the coefficient of static friction and N is the normal force. Since the box is accelerating, we set up Newton's second law of motion in the direction of the incline: [tex]F_{parallel}[/tex] - [tex]F_{f}[/tex] = ma, where a is the acceleration. Substituting the expressions for [tex]F_{parallel}[/tex], [tex]F_{f}[/tex], and N and solving for μ gives us the coefficient of friction.

Given: Mass (m) = 2 kg, Incline angle (θ) = 25°, Frictional force ([tex]F_{f}[/tex]) = 4.86 N . We get that by using the formula [tex]F_{f}[/tex] = μ * m * g * cos(θ), where g = 10 m/s² .

Now from[tex]F_{f}[/tex] = μN

Substitute the values to find μ = 0.24.

Answer:

the ray is reflected infinite number of times by 2 plane mirrors placed parallel to each other as each reflected ray would be the incident ray for the other.

Explanation:

the ray is reflected infinite number of times by 2 plane mirrors placed parallel to each other as each reflected ray would be the incident ray for the other.

Placing one mirror at an angle causes reflections to curve.

Two parallel plane mirrors result in an infinite number of reflections for a light ray due to the Law of Reflection.

When two plane mirrors are placed parallel and facing each other, a light ray entering this setup will undergo multiple reflections between the mirrors. The number of reflections theoretically can be infinite, as each reflection leads to another unless the mirrors are not perfectly aligned or have imperfections. This principle is based on the Law of Reflection, which states that the angle of incidence is equal to the angle of reflection.

Here's a step-by-step explanation:

This phenomenon can be commonly observed in simple experiments using two parallel mirrors, creating the effect of an infinite tunnel of reflections.

Answer:

1 percent

Explanation:

It says that only 3 percent of the water is fresh. So it can be 1 percent or 3 percent. But then it says that most of the water is locked up in glaciers and polar ice caps. So the animals would have a hard time getting to this water. So the rest is available for them. Approximately 1 percent is most reasonable.

Answer:

1 percent (A)

The mass of the marble is 0.067 kg

Explanation:

The momentum of an object is given by the equation

[tex]p=mv[/tex]

where

p is the momentum

m is the mass

v is the velocity

For the marble in this problem, we have:

p = 0.10 kg m/s is its momentum

v = 1.5 m/s is its velocity

Solving the equation for m, we can find the mass of the marble:

[tex]m=\frac{p}{v}=\frac{0.10}{1.5}=0.067 kg[/tex]

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The mass of the marble is 0.067 kg.

To find the mass of the marble, we can use the formula for momentum (p), which is the product of mass (m) and velocity (v):

[tex]\[ p = m \times v \][/tex]

Given that the momentum (p) is 0.10 kg.m/s and the velocity (v) is 1.5 m/s, we can rearrange the formula to solve for the mass (m):

[tex]\[ m = \frac{p}{v} \][/tex]

Substituting the given values:

[tex]\[ m = \frac{0.10 \text{ kg.m/s}}{1.5 \text{ m/s}} \][/tex]

[tex]\[ m = \frac{0.10}{1.5} \][/tex]

[tex]\[ m \approx 0.0667 \text{ kg} \][/tex]

 Rounding to three decimal places, the mass of the marble is 0.067 kg.

Answer:

3.57 units

Explanation:

[tex]x =\sqrt{ (-1.55)^2+(3.22)^2} = 3.57 units[/tex]

Answer:

The magnitude of the vector is 3.57 units.

Explanation:

The x component of the vector, [tex]v_x=-1.55\ \text{units}[/tex]

The y component of the vector is [tex]v_y=3.22\ \text{units}[/tex]

We need to find the magnitude of the vector. We know that the magnitude of the vector is given by :

[tex]v=\sqrt{v_x^2+v_y^2}[/tex]

[tex]v=\sqrt{(-1.55)^2+(3.22)^2}[/tex]

[tex]v=3.57\ \text{units}[/tex]

So, the magnitude of the vector is 3.57 units. Hence, this is the required solution.

Answer:

(a) [tex]R_5=9\ \Omega[/tex]

(b) Potential Difference = 11.584 V

(c) [tex]R_1=0.40\ \Omega[/tex]

Explanation:

Given:

[tex]\textrm{Current in A₁,}I_1=0.4\ A\\\textrm{Current in A₂,}I_2=0.64\ A\\R_2=5.6\ \Omega\\R_3=6.2\ \Omega\\R_4=8.2\ \Omega\\\textrm{EMF of the battery,}E= 12 V[/tex]

(a)

The resistances [tex]R_3\ and\ R_4[/tex] are in series. So, equivalent resistance is the sum of the two.

[tex]R_s=R_3+R_4=8.2+6.2=14.4\ \Omega[/tex]

Now, [tex]R_s\ and\ R_5[/tex] are in parallel. So, potential difference across both the terminals is same. Therefore,

[tex]I_1R_s=I_2R_5\\\\R_5=\frac{I_1}{I_2}R_s\\\\R_5=\frac{0.4}{0.64}\times 14.4=9\ \Omega[/tex]

(c)

Now, since the resistances are in parallel, the equivalent resistance is given as:

[tex]\frac{1}{R_p}=\frac{1}{R_s}+\frac{1}{R_5}\\\\R_p=\frac{R_s\times R_5}{R_s+R_5}\\\\R_p=\frac{14.4\times 9}{14.4+9}\\\\R_p=\frac{129.6}{23.4}=5.54\ \Omega[/tex]

Now, resistances [tex]R_1,R_2\ and\ R_p[/tex] are in series. Therefore, equivalent resistance is given as:

[tex]R_{eq}=R_1+R_2+R_p\\R_{eq}=R_1+5.6+5.54\\R_{eq}=R_1+11.14-----1[/tex]

Now, from Ohm's law, we know that,

[tex]E=(I_1+I_2)R_{eq}\\\\R_{eq}=\frac{E}{I_1+I_2}\\\\R_{eq}=\frac{12}{0.4+0.64}\\\\R_{eq}=11.54\ \Omega[/tex]

Plug in [tex]R_{eq}[/tex] value in equation (1). This gives,

[tex]11.54=R_1+11.14\\R_1=11.54-11.14=0.40\ \Omega[/tex]

(b)

Now, potential difference across the terminals of the battery is given as:

[tex]V=E-(I_1+I_2)R_1\\V=12-(0.4+0.64)0.4\\V=12-0.416=11.584\ V[/tex]

Answer: The electromagnetic waves reach Earth, while the mechanical waves do not.

Explanation:

Answer:

(B) The electromagnetic waves reach Earth, while the mechanical waves do not.

Explanation:

Electromagnetic waves do not require material medium for their propagation, so it will reach the Earth. Mechanical waves require material medium for their propagation, so mechanical waves will not reach Earth.

Therefore, the correct option is B "The electromagnetic waves reach Earth, while the mechanical waves do not".

Final answer:

A low melting point is not a common property of ionic compounds; they are characterized by high melting points, being hard and brittle, and conducting electricity when molten but not as a solid.

Explanation:

The property that is not common to ionic compounds is having a low melting point. Ionic compounds are known for their distinctive characteristics, which include being hard, brittle, and capable of conducting electricity as a liquid but not as a solid.

They typically have high melting points and high boiling points. When they are solid, the ionic compounds have ions that are held in place and cannot move, which means they do not conduct electricity. However, when these compounds are in a molten state (liquid), the ions can move freely, and this allows the compound to conduct electricity.

Gravitational potential energy is converted into kinetic energy

Explanation:

There are two forms of energy involved in the situation described in the problem:

In this problem, Sonja and the bike starts from the top of the hill and they ride downhill. As they go downhill, their altitude from the ground (h) decreases, so their gravitational potential energy decreases; at the same time, since the total energy is conserved (in absence of friction or air resistance), the speed of the bike and Sonja increases, and their kinetic energy increases. Therefore, there is a conversion of energy from gravitational potential to kinetic.

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Answer:

10.0 J

Explanation:

The work done equals the change in energy.  Since there's no friction, and the table is horizontal, the only change in energy is kinetic.

The total kinetic energy gained by the object of  20 Newton weight is 10.0 joules.

According to the law of conservation of energy, energy cannot be created or destroyed. It can, however, be transformed from one form to another. When all forms of energy are considered, the total energy of an isolated system remains constant. The law of energy conservation applies to all forms of energy.

In summary, the law of energy conservation states that the total energy of a closed system, that is, a system that is isolated from its surroundings, is conserved.

Total work done on the object is 10.0 joules.

Weight if the object = 20 Newton.

Hence, total kinetic energy gained by the object = Total work done on the object

= 10.0 joules.

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Answer:

According the law of conservation of mass, the mass of  the reactant should be equal to the products in an chemical reaction. so we go far balancing the chemical reactions.

1)    [tex]S +O_2 \rightarrow SO_2[/tex]

2)   [tex]2Na + O_2 \rightarrow Na_2O_2[/tex]

3)   [tex]2Hg + O_2 \rightarrow 2HgO[/tex]

4)   [tex]2Ag_2O \rightarrow 4Ag + O_2[/tex]

5)   [tex]Ba(OH)_2 + H_3PO_4 \rightarrow BaHPO_4+ 2H_2O[/tex]

6)   [tex]2NaOH + H_3PO_4 \rightarrow Na_2HPO_4 +2H_2O[/tex]

7)   [tex]C_4H_8 + 6O_2\rightarrow 4CO_2+4H_2O[/tex]

8)   [tex]C_3H_8 + 5O_2\rightarrow3CO_2+4H_2O[/tex]

9)   [tex]2Fe + 3Cl_2\rightarrow 2FeCl_3[/tex]

10)  [tex]2Al+6HCl \rightarrow2 AlCl_3 +3H_2[/tex]

11)   [tex]2H_2 +O_2 \rightarrow 2H_2O[/tex]

12)   [tex]N_2 + 3H_2 \rightarrow 2NH_3[/tex]

Answer:

The term thermodynamics comes from the Greek words therme (heat)  and dynamis (force)

Explanation:

Thermodynamics can be defined as the science of energy. Thought everything  the world has an idea of what energy is, it's hard to define it precisely.

Energy can be considered as the ability to cause change.

The term thermodynamics comes from the Greek words therme (heat)  and dynamis (force), which corresponds to the most descriptive of the first  efforts to convert heat into energy. At present, the concept is  interpret broadly to include Energy Aspects and their transformations,  including power generation, cooling and relationships  among the properties of matter.

The study of thermodynamics examines how heat, work, temperature, and energy are related. The general topic of thermodynamics is the transfer of energy from one location or form to another.

The fundamental idea is that heat is a type of energy that is equivalent to a specific quantity of mechanical labor.

Although the necessity to improve the performance of steam engines prompted the fast development of thermodynamics throughout the 19th century, the principles of thermodynamics are so broadly generic that they apply to all physical and biological systems.

The rules of thermodynamics, in particular, provide a thorough explanation of all changes in a system's energy state and its capacity to do beneficial work on its surroundings.

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Answer:

1) Current decreases; 2) Inverse proportionally; 3) 1[A]

Explanation:

1)

As we can see as the resistance increases the current decreases, if we take two points as an example, when the resistance is equal to 50 [ohms] the current is equal to 1[amp] and when the resistance is equal to 200 [ohms] the current tends to have a value below 0.5 [amp]. Thus demonstrating the decrease in current.

2)

Inverse proportionally, by definition we know that the law of ohm determines the voltage according to resistance and amperage. This is the voltage will be equal to the product of the voltage by the resistance.

[tex]V=I*R\\V = voltage [volts]\\I = current[amp]\\R = resistance [ohms][/tex]

where:

[tex]R =\frac{V}{I} \\or\\I=\frac{V}{R}[/tex]

And whenever we have in a fractional number the denominator the variable we are interested in, we can say that this is inversely proportional to the value we are interested in determining. In this case, we can see from the two previous expressions that both the current and the resistance appear in the denominator, therefore they are inversely proportional to each other.

3)

If we place ourselves on the graph on the resistance axis, we see that at 50 [ohm] will correspond a current value equal to 1 [A].

Answer:

1. A. decrease

2. C. Inverse proportionally

3. B. 1 A

Explanation:

Answer:

Option A

A model

Explanation:

Modelling is the process where the designer simulate elements that resemble the actual product and put on a scale that the computers can easily simulate and then the simulations are related directly to the actual product. The use of computer simulations to help solve problems is known as modelling since it uses a model.

Final answer:

The use of computer simulations in engineering, such as for bridge design, is characterized as a model. These simulation models are used for testing hypotheses and making predictions, acting as pivotal tools in design and decision-making processes.

Explanation:

The use of computer simulations, such as the ones employed in designing the Millennium Bridge in London, is best described as a model. These simulation models use numerical techniques to visualize and analyze complex relationships and scenarios in various designs and systems. They are built around hypotheses and can be used to test these hypotheses, as well as to make predictions about the system under study. Moreover, simulations are a substitute for experimentation and the results should be verified through experimentation or observational data.

Computer models, which have been verified against data, are incredibly useful in aiding decision-making processes, including those in engineering. For instance, they help in modeling high-altitude winds for planning airliner flight paths or storm paths for emergency procedures, as well as designing solutions to reduce friction or drag, such as in making cars more fuel-efficient. Therefore, a computer simulation in engineering functions both as a predictive tool and a virtual experiment.

Answer:

18.4 kcal

Explanation:

ΔQ = m c Δ t

where ΔQ is heat energy supplied in kcal , m is mass in kg , c is specific heat capacity which is 0.092 kcal / (kg C°) ,  Δ t = 110-10= 100C°

ΔQ = 2×0.092×100 = 18.4 kcal

Answer:

heat = 20 Kcal

Explanation:

Answer:

[tex]t=12.25\ seconds[/tex]

Explanation:

Diagonal Launch

It's referred to as a situation where an object is thrown in free air forming an angle with the horizontal. The object then describes a known path called a parabola, where there are x and y components of the speed, displacement, and acceleration.

The object will eventually reach its maximum height (apex) and then it will return to the height from which it was launched. The equation for the height at any time t is

[tex]x=v_ocos\theta t[/tex]

[tex]\displaystyle y=y_o+v_osin\theta \ t-\frac{gt^2}{2}[/tex]

Where vo is the magnitude of the initial velocity, [tex]\theta[/tex] is the angle, t is the time and g is the acceleration of gravity

The maximum height the object can reach can be computed as

[tex]\displaystyle t=\frac{v_osin\theta}{g}[/tex]

There are two times where the value of y is [tex]y_o[/tex] when t=0 (at launching time) and when it goes back to the same level. We need to find that time t by making [tex]y=y_o[/tex]

[tex]\displaystyle y_o=y_o+v_osin\theta\ t-\frac{gt^2}{2}[/tex]

Removing [tex]y_o[/tex] and dividing by t (t different of zero)

[tex]\displaystyle 0=v_osin\theta-\frac{gt}{2}[/tex]

Then we find the total flight as

[tex]\displaystyle t=\frac{2v_osin\theta}{g}[/tex]

We can easily note the total time (hang time) is twice the maximum (apex) time, so the required time is

[tex]\boxed{t=24.5/2=12.25\ seconds}[/tex]

Answer:

The ball rolled a distance of 54 m.

Explanation:

Given:

Initial velocity of the ball is, [tex]u=5\ m/s[/tex]

Final velocity of the ball is, [tex]v=7\ m/s[/tex]

Time for rolling is, [tex]t=9\ s[/tex]

The distance of rolling is, [tex]S=?[/tex]

First, let us find the acceleration of the ball using Newton's equation of motion as:

[tex]v=u+at\\a=\frac{v-u}{t}\\a=\frac{7-5}{9}=\frac{2}{9}\ m/s^2[/tex]

Now, displacement of the ball can be determined using the following equation of motion:

[tex]v^2=u^2+2aS[/tex]

Rewriting the above in terms of 'S', we get

[tex]S=\frac{v^2-u^2}{2a}[/tex]

Plug in the known values and solve for 'S'. This gives,

[tex]S=\frac{7^2-5^2}{2\times \frac{2}{9}}\\\\S=\frac{49-25}{\frac{4}{9}}\\\\S=\frac{9\times 24}{4}\\\\S=9\times 6=54\ m[/tex]

Therefore, the ball rolled a distance of 54 m.

Answer:

Normal force of 10,000N

Explanation:

From the question, the weight the car exerts on the pavement is 10,000N.

The pavement exerts upward and perpendicular contact force called normal force on the car to support its weight. Also, the normal force is equal and opposite to the weigh of the car.

Hence the pavement exerts normal force of 10,000N back on the car to prevent it from passing through it.

Final answer:

The pavement exerts an equal and opposite force of 10,000 newtons back on the car due to Newton's third law of motion. The net force and net torque on a stationary car parked on level pavement are zero.

Explanation:

If a car parked on level pavement exerts a force of 10,000 newtons (N) on the ground, the pavement exerts an equal and opposite force of 10,000 N back on the car. This is due to Newton's third law of motion, which states that for every action, there is an equal and opposite reaction.

In this case, the action is the force of the car's weight on the pavement, and the reaction is the normal force exerted by the pavement on the car. The force exerted by the pavement is also known as the support force and it is what prevents the car from sinking into the ground.

The net force on the car when it is parked and at rest on level pavement is zero because the downward gravitational force (weight of the car) is balanced by the upward normal force from the pavement. Similarly, the net torque on the car is also zero, assuming no other external forces are acting on it, such as wind or a slope that could create a rotational effect.

Answer:

Cementation---precipitation of bonding agents between grains.

Recrystallization---contact pressure causing grains to "fuse" together.

Compaction---increase in density due to weight of overburden.

Explanation:

I hope this helps you! Good luck and have a great day. ❤️✨

Answer:

A steep slope on a displacement vs. time graph indicates a large velocity.

Explanation:

The equivalent resistance of the parallel circuit with three resistors is determined as 1.64 ohms.

The equivalent resistance of the parallel circuit is determined as follows;

¹/R = ¹/R₁ + ¹/R₂ + ¹/R³

¹/R = ¹/3 + ¹/6 + ¹/9

¹/R =   (6 + 3 + 2)/18

¹/R = 11/18

R = 18/11

R = 1.64 ohms

Thus, the equivalent resistance of the parallel circuit with three resistors is determined as 1.64 ohms.

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Final answer:

The equivalent resistance of the circuit with three resistors in parallel (3.0 Ohms, 6.0 Ohms, 9.0 Ohms) is approximately 1.636 Ohms.

Explanation:

To find the equivalent resistance of a circuit consisting of resistors in parallel, one must use the formula for parallel resistors, which is 1

In this case, the circuit has three resistors in parallel with resistances of 3.0 Ohms, 6.0 Ohms, and 9.0 Ohms. Hence, the calculation for the equivalent resistance (R_eq) is:

1/R_eq = 1/3.0 Ohms + 1/6.0 Ohms + 1/9.0 Ohms

1/R_eq = 1/3 + 1/6 + 1/9

1/R_eq = 6/18 + 3/18 + 2/18

1/R_eq = 11/18

Now, take the reciprocal to find the equivalent resistance:

R_eq = 18/11 Ohms

R_eq ≈ 1.636 Ohms

Therefore, the equivalent resistance of the three parallel resistors is approximately 1.636 Ohms.

Answer:

the answer is D.

Explanation:

Acceleration means you can increase in speed, decrease in speed, and change directions. BUT, velocity means speed with a direction. If you want to accelerate, it's impossible to keep the same velocity at the same time.

The question relates to the presence of isotopes 12C and 14C in living organisms and how the half-life of 14C is used for radiometric or carbon-14 dating. After an organism's death, its ratio of 14C to 12C decreases, and this shift can be compared to ratios in currently living organisms to estimate the age of the object. The accuracy of this method can somewhat be affected by human activities, so corrections are applied.

In living organisms, a small fraction, which is 1.30 × 10-12, of 12C is comprised of the radioactive isotope 14C. The half-life of 14C is 5730 years, meaning after around 5730 years, half of the starting concentration of 14C will decay to 14N. This property makes it useful in aging formerly living objects, a process known as radiometric dating or carbon-14 dating.

When an organism dies, its 14C is no longer replenished so the ratio of 14C to 12C begins to decrease. By comparing this ratio to the ratio in living organisms, the amount of 14C that has not decayed can be determined, which enables the calculation of the age of the object to about 50,000 years.

The ratio in the atmosphere, and hence in living organisms, is slightly altered due to human activities such as the burning of fossil fuels. Corrections based on other data sources, including tree ring dating, are used to correct the current 14C/12C ratio to that from the past era when the organism was alive.

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Final answer:

The loudness of a sound is primarily determined by the amplitude of the sound wave, where larger amplitudes result in louder sounds. This is measured in decibels (dB). The perceived loudness also depends on the force of vibration and the frequency sensitivity of the human ear.

Explanation:

The loudness of sound is determined by the amplitude of vibration. The amplitude, or height of the sound wave, dictates how much energy it carries, subsequently influencing its perceived loudness or volume.

A wave with a larger amplitude carries more energy, resulting in a louder sound, while a smaller amplitude corresponds to a softer sound. This is why sound C in a diagram with higher amplitude waves is louder than sound B with lower amplitude waves.

Loudness is often measured in decibels (dB), with larger waves and consequently greater amplitudes reflected in higher decibel levels. As an example, a typical conversation may measure around 60 decibels, considerably louder than a faint whisper at 30 decibels, illustrating the impact of amplitude on the loudness of sounds we encounter daily.

However, the strength of the sensation, or intensity, also plays a role, mainly governed by the force behind the vibrating body - more force results in a wider vibration and greater intensity.

Yet, the ear's sensitivity to different frequencies also affects perceived loudness; we may perceive sounds as louder if they are within the frequency range where the ear is most sensitive.

Answer:

Decreases

Explanation:

Ideal gas law:

PV = nRT

where P is absolute pressure,

V is volume,

n is number of moles,

R is gas constant,

and T is absolute temperature.

If V is constant and T decreases, then P must decrease.

In accordance with Boyle's Law, if the volume of a scuba tank remains constant and its temperature decreases, then the pressure of the air within the tank would increase. This principle is applied in underwater activities to ensure safe ascension and descension by divers.

The scenario you're describing falls under the principles of Boyle's law in physics, which applies to scenarios where gases are held at a constant volume. Boyle's law states that the pressure and temperature of a gas have an inverse relationship when held at a constant volume. If we apply this to your question, it implies that if the volume of air in the scuba tank remains constant and its temperature decreases, the pressure within the tank would increase.

For instance, if divers descend into the deep waters, the increase in water pressure compresses the air pocket within the scuba tank, and this increase in pressure subsequently raises the tank's temperature. A reverse scenario will occur during ascent. As divers begin to ascend and water pressure reduces, the air pocket within the scuba tank expands, resulting in a decrease in pressure, subsequently causing the tank's temperature to decrease as well.

The relationship between temperature, volume, and pressure is crucial in subaquatic activities to prevent potential mishaps like ruptured lungs or eardrums due to rapid pressure change.

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Answer:

A Anemia

Explanation:

Anemia is a condition in which you lack enough healthy red blood cells to carry adequate oxygen to your body's tissues. Having anemia can make you feel tired and weak. There are many forms of anemia, each with its own cause. Anemia can be temporary or long term, and it can range from mild to severe.

(i) Doubling the mass of one object doubles the gravitational force.

(ii) Doubling the distance reduces the force to one-fourth; tripling reduces it to one-ninth.

(iii) Doubling both masses quadruples the force.

Let's analyze each scenario:

(i) If the mass of one object is doubled:

According to Newton's law of universal gravitation, the gravitational force (F) between two objects is directly proportional to the product of their masses (m1 and m2) and inversely proportional to the square of the distance (r) between their centers:

[tex]\[ F = G \frac{m1 \cdot m2}{r^2} \][/tex]

where G is the gravitational constant.

If we double the mass of one object (let's say m1), the force becomes:

[tex]\[ F' = G \frac{2m1 \cdot m2}{r^2} \][/tex]

Comparing F' with F, we see that F' is doubled. Therefore, doubling the mass of one object doubles the gravitational force between them.

(ii) If the distance between the objects is doubled and tripled:

Let's denote the original distance between the objects as r.

- If the distance is doubled (2r), the force becomes:

[tex]\[ F' = G \frac{m1 \cdot m2}{(2r)^2} = \frac{1}{4} \cdot \frac{G \cdot m1 \cdot m2}{r^2} \][/tex]

Comparing F' with F, we see that F' is one-fourth of the original force. Therefore, doubling the distance reduces the gravitational force to one-fourth of its original value.

- If the distance is tripled (3r), the force becomes:

[tex]\[ F' = G \frac{m1 \cdot m2}{(3r)^2} = \frac{1}{9} \cdot \frac{G \cdot m1 \cdot m2}{r^2} \][/tex]

Comparing F' with F, we see that F' is one-ninth of the original force. Therefore, tripling the distance reduces the gravitational force to one-ninth of its original value.

(iii) If the masses of both objects are doubled:

If we double the masses of both objects (m1 and m2), the force becomes:

[tex]\[ F' = G \frac{2m1 \cdot 2m2}{r^2} = 4 \cdot \frac{G \cdot m1 \cdot m2}{r^2} \][/tex]

Comparing F' with F, we see that F' is quadrupled. Therefore, doubling the masses of both objects quadruples the gravitational force between them.

The Correct question is:

What happens to the gravitational force between two objects, if

(i) the mass of one object is doubled?

(ii) the distance between the objects is doubled and tripled?

(iii) the masses of both objects are doubled? give ans with indetail calculation

The net force is 6 N East

Explanation:

First of all, we start by noticing that all the forces act along the direction East-West, so we can simply find the net force by using algebraic addition.

In order to find the net force on the wheelchair, we need to define a positive direction and write down all the force with the proper sign.

Let's choose East as positive direction. Therefore, we have the following forces:

[tex]F_1 = +10 N[/tex] (east), the force applied by Ms. PB

[tex]F_2 = +5 N[/tex] (east), the force applied by Mr. Rigney

[tex]F_f = -2 N[/tex] (west), the frictional force, acting in the opposite direction

[tex]F_r = -7 N[/tex] (west), the air resistance, acting in the opposite direction

Taking into account the correct signs, we can now find the net force on the wheelchair:

[tex]F=F_1+F_2+F_f+F_r = +10 + 5 +(-2) + (-7) = +6 N[/tex]

And the positive sign tells us that the direction of the net force is East.

Learn more about forces:

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