If a ball is rolling at a velocity of 1.5 meters per second and has a momentum of 10.0 kg meters per second what is the mas6of the ball

Answer:

I just did this question and it's A and D

The correct options are :

(A) The germinating corn seed produced more energy than the non-germinating corn seed.

(C) The germinating corn seed consumed more oxygen than the non-germinating corn seed.

information from the graph:

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Answer:

[tex]V_{c} = V_{b}  = V_{a}[/tex]

Explanation:

Let [tex]V_{a}[/tex],  [tex]V_{b}[/tex],  [tex]V_{c}[/tex] be the speed of the balls which was fired at an angle of 45°, 60°, 90° respectively from the horizontal surface, when the balls crosses the dashed horizontal line a few meters away from the place where it is fired initially

After firing the only force that is acting on the ball will be the force of gravity assuming that there is no air resistance, so the acceleration will be g in the downward direction

Using the below formula we can calculate the final velocity of the ball after travelling some distance

v² - u² = 2×a×s

where v is the final velocity of the ball

u is the initial velocity of the ball

s is the distance between the points where initial velocity is u and final velocity is v

a is the acceleration of the ball

From this we get

v² = u² + 2×a×s

Here in this case we are considering in vertical direction and in this direction for all balls a = -g as g is acted on the balls opposite to the direction of motion

s is same for all balls

Let u be the initial speed of all balls

speed is same for all balls but not initial velocity in the vertical direction

For the ball that is fired from an angle of 90°, initial velocity is u

For the ball that is fired from an angle of 60°, initial velocity is u×sin60° = u×(√3 ÷ 2)

For the ball that is fired from an angle of 45°, initial velocity is u ×sin45° = u×(1 ÷ √2)

As a and s in the formula are constant for all particles, the final velocity will depend on their initial velocities

We can observe that as angle with horizontal is increasing the initial velocity is also increasing

∴ Final velocity in the vertical direction of the ball fired from 90° > Final velocity in the vertical direction of the ball fired from 60° > Final velocity in the vertical direction of the ball fired from 45°

As there is no acceleration in horizontal direction initial velocity in horizontal direction =  final velocity in horizontal direction

In horizontal direction

velocity of the ball fired from 90° is 0

velocity of the ball fired from 60° is u×cos60° = u÷2

velocity of the ball fired from 45° is u ×sin45° = u×(1 ÷ √2)

Speed = √((velocity in horizontal direction)² +(velocity in vertical direction)²)

For all balls we get speed² = u² - 2×g×s

∴ Final speed of all balls is same

Final answer:

The ball fired straight up at an angle of 90 degrees will have the highest speed when it crosses the horizontal line, followed by the ball fired at an angle of 45 degrees, and then the ball fired at an angle of 60 degrees.

Explanation:

The speeds of the three balls can be determined by analyzing their motion in the vertical and horizontal directions. Since the vertical motion is independent of the horizontal motion, the ball fired straight up at an angle of 90 degrees will have the highest speed when it crosses the horizontal line. This is because it is only influenced by gravity in the vertical direction and does not have any horizontal motion to slow it down. The ball fired at an angle of 45 degrees will have a slightly lower speed, while the ball fired at an angle of 60 degrees will have the lowest speed. This is because their horizontal velocities are not as high as the ball fired straight up. Therefore, the ranking from largest to smallest speed is: Vc (fired straight up), Va (fired at 45 degrees), and Vb (fired at 60 degrees).

The tension in the string that accelerates a 5 kg cart to 2 m/s² is equal to 10 Newton.

Explanation:

Tension:

Tension is a force exerted by the rope, Tension refers to the pulling force transmitted axially by the means of a string, cable or a chain.

In the given case, Tension in the string is simply the pulling force it applies on the cart. There is no special formula for tension in the string.

Newton's second law is often stated as F = ma, which means the force (F) acting on an object is equal to the mass (m) of an object times the acceleration (a) produced in it due to that force.

Mass of the cart = 5 kg

Acceleration produced = 2 m/s²

Tension in the string = F = ma

= 5*2

= 10 kg m/s²

= 10 N

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Answer:

The horizontal velocities of the projectile for both cases are going to remain the same.

Explanation:

Taking the horizontal direction as x-axis and the vertical component as y-axis.

Let V be the object's velocity and θ be the angle formed with the horizontal.

Therefore,  

The horizontal component of velocity is,

                      [tex]V_{x}=V Cos\theta[/tex]

                      [tex]V_{y}=V Sin\theta[/tex]

Due to the force of gravity the vertical component of velocity changes. But there is no influence of force in the horizontal component other than the air resistance.

Hence, the horizontal component of the velocities of the projectile remains the same.

Answer:

Thunder and lightning may become connected in the mind because they often occur together. This is an example of (A) law of similarity

Explanation:

"Gestalt law of similarity" states that objects or things that shares visual characteristics like shape, size, color, texture, value and orientation can be perceived as a unified group.

Thus thunder and lightning can be placed in the same group as lightning causes thunder. When passing from the clouds to that of the surface, a lightning strike pops open up a little void in the atmosphere, called a channel. After the lightning has disappeared, the atmosphere falls back in and produces a sound wave we perceive as a thunder.

Answer:

d. continuity

Explanation:

The law of continuity says that two events can become connected to each other if they happen close together. For example, thunder and lightning may become connected in the mind because they often occur together.

A force is described by its magnitude and direction.

Force is described in physics by its magnitude, which is the size or amount of the force, and its direction, which is where the force is heading.

In physics, force is described in terms of its magnitude and direction. Magnitude refers to the size or quantity of the force. It's measured in units like newtons. Direction, on the other hand, tells us where the force is heading or pointing to. For example, if you are pushing a box, the magnitude of the force would be how hard you are pushing and the direction would be the direction in which the box moves.

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Answer:

The height of the cliff is, h = 78.4 m

Explanation:

Given,

The horizontal velocity of the projectile, Vx = 20 m/s

The range of the projectile, s = 80 m

The projectile projected from a height is given by the formula

                            S = Vx [Vy + √(Vy² + 2gh)] / g

Therefore,  

                            h = S²g/2Vx²

Substituting the values

                             h = 80² x 9.8/ (2 x 20²)

                                = 78.4 m

Hence, the height of the cliff is, h = 78.4 m

a) The net force on the system is 883.5 N

b) The tension in the rope is 505.5 N

c) The applied force on the snowmobile is 1875.7 N

Explanation:

a)

To solve this first part, we just analyze all the forces acting in the horizontal direction on the snowmobile+sled system, and we apply Newton's second law, which states that:

[tex]\sum F = (m+M)a[/tex]

where

[tex]\sum F[/tex] is the net force on the system

m = 150 kg is the mass of the sled

M = 315 kg is the mass of the snowmobile+rider

[tex]a=1.9 m/s^2[/tex] is the acceleration

Therefore, solving for [tex]\sum F[/tex], we find the net force on the system:

[tex]\sum F = (150+315)(1.9)=883.5 N[/tex]

b)

We can write now the equation of the forces acting on the sled only. We have:

[tex]T-F_f = ma[/tex]

where:

T is the tension in the rope between the sled and the snowmobile, which is pulling the sled forward

[tex]F_f[/tex] is the force of friction acting on the sled

m = 150 kg is the mass of the sled

[tex]a=1.9 m/s^2[/tex] is the acceleration

The force of friction can be written as

[tex]F_f = \mu_k mg[/tex]

where

[tex]\mu_k = 0.15[/tex] is the coefficient of kinetic friction of the sled on ice

Substituting into the previous equation and solving for T, we find the tension:

[tex]T-\mu_k mg = ma\\T=ma+\mu_k mg=(150)(1.9)+(0.15)(150)(9.8)=505.5 N[/tex]

c)

We can now write the equation of the forces acting on the snowmobile, and we have:

[tex]F_a - T - F_F = Ma[/tex]

where:

[tex]F_a[/tex] is the applied force

T = 505.5 N is the tension in the rope, which pulls the snowmobile backward

[tex]F_F[/tex] is the force of friction on the snowmobile

M = 315 kg is the mass of the snowmobile+rider

[tex]a=1.9 m/s^2[/tex] is the acceleration

The force of friction can be written as

[tex]F_F = \mu_k Mg[/tex]

where

[tex]\mu_k = 0.25[/tex] is the coefficient of kinetic friction of the snowmobile on ice

Substituting into the previous equation and solving for [tex]F_a[/tex], we find:

[tex]F_a = Ma+T+\mu_k Mg=(315)(1.9)+505.5+(0.25)(315)(9.8)=1875.7 N[/tex]

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In the described chemical reaction, the reactants are ammonia (NH3) and carbon dioxide (CO2). These reactants are combined in the body to produce urea (CH4N2O), which is the product.

In the chemical reaction described in the passage, the reactants are the substances that combine to produce another substance. From the passage, we can identify that ammonia (NH3) and carbon dioxide (CO2) are combined by the liver to produce urea (CH4N2O). Hence, in this chemical reaction, ammonia and carbon dioxide are the reactants, while urea is the end product or the product of the reaction.

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Answer:

D) a = 4m/s2

Explanation:

[tex]f = ma \\ a = \frac{f}{m} \\ a = \frac{8}{2} \\ a = 4[/tex]

where f = 8N and mass = 2kg

If you exert a net force of 8 N on a 2-kg object, the acceleration of the object would be [tex]4 m / s^{2}[/tex].

Answer: Option D

Explanation:

According to Newton second law, it states the relation between mass and the force required to accelerate the object. The mathematical expression can be given as follows,

               [tex]\text {Force}=\text {mass} \times \text {accelaration}[/tex]

The above expression shows that exerted force is equal to the product of mass and acceleration.

Where, in the given problem given the data as,

Force, F= 8 N

Mass, m = 2 kg

So, we can write the above equation as,

               [tex]\text {Acceleration, } a=\frac{F}{m}[/tex]

By substituting the given values in the above equation, we get,

          [tex]\text {acceleration, } a=\frac{8}{2}=4 \mathrm{m} / \mathrm{s}^{2}[/tex]

Therefore, the acceleration of the object would be [tex]4 m / s^{2}[/tex].

Explanation:

The given problem should be solved using basic sedimentary laws proposed by Nicolas Steno and other group of geologists.

Some of the laws that would find application in this problem are:

Based on this premise, we can derive the geologic column for the area:

                       Chart A                                               Chart B

                        Erosion                                              Erosion

1                             C                                                          a

2                             E                                                         e

3                             H                                                         h

3                         Erosion                                                   m

4                           A                                                         Erosion

5                            B                                                              c

6                            F                                                               j

7                            D                                                              l

8                            L                                                              g

9                            G                                                              k

10                           J                                                              f

11                            i                                                                i

12                                                                                          d

13                                                                                           b

The above was derived using the sedimentary laws for relative dating.

Observations 1

In Record A unconformity will occur between layers H and A

    Record B unconformity will occur between layers c and m

An unconformity is a huge break in the stratigraphic record. It is usually a time gap as a result of non-deposition of sediments, erosion of a rock layers amidst other factors.

The type of unconformity here is called an angular unconformity.

In this kind of unconformity, parallel beds are deposited on the tilted or folded layer below resulting in an angular discordance of some sort.

The surface between H and A is an erosional surface of the tilted beds in record A. This was followed by the deposition of new beds that are parallel to the tilted ones below.

In record be, a folded and eroded surface separate c and m.

Analysis 2

In record A, the rock layer K is older than F but younger than D. This rock layer has been tilted. This interpretation is based on the law of superposition of strata. If the sequences are reconstructed without the tilt, layer K will be on top of D and F will be on top of K.

Analysis 3

Layer c is younger than j but older than the parallel lying m on top of it. This geologic structure is called a synform. In synform, the rock strata has a concave shape. Usually, we can assume that this is a synformal syncline in which the youngest bed is at the core of the fold. This pits layer c as the youngest in the folded beds. The age increases outward in a synform.

Analysis 4

Layers C and E in record A are both eroded beds. Layer C has been eroded to the level of layer E.

We can establish that when layer C was exposed and eroded, the overburden on the earth was relieved and part of bed E re-adjusted up to the level of E.

Analysis 5

Reconstructing the geologic history of A

To form a sedimentary rock sequence, a basin must be available. Sedimentary basins are natural depressions on the earth crust in which sediments collects and are deposited.

Sediments i - A were deposited layer by layer into the basin. They became compacted and lithified to form sedimentary rocks.

With the passage of time, these layers became tilted by natural forces. This could be an earthquake, stress e.t.c

After the tilting, a period of non-deposition occurred in which the forces of denudation prevailed to cause the erosion of the bed when it was uplifted and exposed.

After this period, layers H-C was then deposited, compacted and lithified. The whole rock sequence was then uplifted exposing some rock layers. Erosion washed parts of layers C and E to what we can see in the present day.

Analysis 6

In record B, sequences b-c were laid in the basin of deposition where they were transformed into sedimentary rocks.

The rocks were then subjected to a compressive stress regime. The layers buckled and a synformal sycline fold formed.

After this period, the rock was uplifted and exposed. Erosion caused the washing away of parts of the top layer.

A period of deposition shortly followed and parallel layers m-a were deposited. This layer was then transformed into sedimentary rocks.

After this the layer became exposed and part of a was eroded to its present day level.

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Due to missing visuals, it's impossible to provide factual answers. Remember, rock layers are in order of their age, youngest at top, oldest at bottom, taking into account any geological disruptions. This concept should help in interpreting the charts and layers.

Apologies, but it's impossible to assist effectively as we cannot view your Page 1 or the Rock Records you're referring to. However, I can guide you on how to interpret rock layers. Always remember that the youngest layer of rock is located at the top, and the oldest at the bottom, unless disturbed by a geological event like a tilting, erosion or folding. Look for signs of these disturbances - tilting might have shifted the layers from their horizontal plane, erosion can create gaps in the sequence, and folding could have distorted the layers. If a layer cuts across another (like an intruding magma chamber or a fault), it is younger. This should assist you in interpreting both Chart A and Chart B. Consider these tips while studying the age of a certain layer (e.g., layer K or C) and while making conclusions on how the group of rock layers formed.

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Answer:

An unbalanced force.

Explanation:

Teacher: "An object in motion will stay in motion unless..."

Auggie : "Acted on by an unbalanced force."

Teacher: "Very good."

The plank moves the same distance as the point on the circumference of the wheels, which is 1.00 meter, because there is no slipping and the plank doesn't tip.

When the wheels roll 1.00 meter from their initial position without slipping, the distance moved by the plank will be equivalent to the circumference of a circle traced by the outer edge of the wheels. The outer radius of each wheel is 0.25 meters, thus the circumference C can be calculated using the formula C = 2πr, which gives us C = 2π(0.25) = 1.57 meters. Since the wheels have rolled 1.00 meter, which is less than a full revolution, we need to find what fraction of a revolution 1.00 meter corresponds to and then calculate the corresponding linear distance that the plank would move.

To find the fraction of a revolution, we divide 1.00 meter by the circumference to get approximately 0.637 revolutions. Since the plank's movement corresponds to the rotation of the wheels and because there's no slippage, the plank will move the same linear distance as the edge of the wheels over this fraction of a revolution. Therefore, the plank moves approximately 0.637 times the wheel's circumference, which is 0.637 × 1.57 meters ≈ 1.00 meter.

The plank moves the same distance as the point on the circumference of the wheels, which in this case is 1.00 meter.

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Answer:

3.2 m

Explanation:

we know

Hmax = V²/2g

= 8² / 2*10 = 3.2

Answer:

The ball will get upto the height of 3.26 meters.

Explanation:

Initial velocity of the ball = u = 8 m/s

final velocity of the ball = v = 0 m/s ( upward)

Acceleration due to gravity ,a= -g =[tex]-9.8 m/s^2[/tex]

Height of the ball when kicked = s

Using third equation of motion :

[tex]v^2-u^2=2as[/tex]

[tex](0 m/s)^2-(8 m/s)^2=2\times (-g)\times s[/tex]

[tex](0 m/s)^2-(8 m/s)^2=2\times (-9.8)\times s[/tex]

[tex]s=\frac{(-8 m/s)^2}{2\times -9.8 m/s^2}=3.26 m[/tex]

The ball will get upto the height of 3.26 meters.

Answer:

false

Explanation:

Answer:

TRUE

In a wire, negatively charged electrons move, and positively charged atoms don't. Electrical engineers say that, in an electrical circuit, electricity flows one direction: out of the positive terminal of a battery and back into the negative terminal.

A lot of people think of electron flow as electrons moving along a wire freely like cars go down a highway.

Explanation:

Answer:

The momentum of the object is, p = 400 kg m/s

Explanation:

Given data,

The mass of the object, m = 40 kg

The velocity of the object, v = 100 m/s

The momentum of the object is defined as the product of the object's mass and  its velocity. it is given by the formula,

                                     p = m v

Substituting the values,

                                     p = 40 kg x 100 m/s

                                         = 400 kg m/s

Hence, the momentum of the object is, p = 400 kg m/s

Answer:

The potential energy is related to the mass and height of the object from the ground and to the acceleration due to gravity g, by the expression, PE = m g h. Thus, PE = 65 kg × 8800 m × 9.8 m/s² = 5.6 × 10⁶ Joules. Therefore, the potential energy of the climber will be 5.6 × 10⁶ Joules.

Explanation:

Answer:

Velocity

Explanation:

                                   E = P.E + K.E

                                  P.E = mgh

                                  K.E = ½ mv²

The resistance of the lightbulb connected to a 60 Hz power source and using an average power of 38.8 W, with a maximum voltage of 156 V, is approximately 312.4 Ω.

To find the resistance of the lightbulb, we must first establish the effective value of the voltage, since the given voltage is the maximal one. For sinusoidal alternating currents (like the standard electrical supply), the effective or 'root mean square' voltage is the maximum voltage divided by the square root of 2 (approximately 1.414). So, the effective voltage (Vrms) is 156 V / √2 = 110.3 V.

Next, we use the formula for power P = V^2 / R, where V is the effective (rms) voltage and R is the resistance. Looking for R, we rearrange the equation to get R = V^2 / P. Substituting the given values we get R = (110.3 V)^2 / 38.8 W = 312.4 Ω. Therefore, the resistance of the light bulb is approximately 312.4 Ω.

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The resistance of a light bulb is approximately 313.57 Ω. This is calculated by converting maximum voltage to RMS voltage and applying the power formula P = V²/R.

To solve this, we need to follow these steps:

First, convert the maximum voltage (Vmax) to the root mean square (RMS) voltage (Vrms) using the formula [tex]V_{rms} = V_{max} / \sqrt2[/tex]. So, [tex]V_{rms} = 156 V / \sqrt2 = 110.3 V[/tex]

Use the power formula that relates power (P), voltage (V), and resistance (R):
[tex]P = V_{rms}^2 / R[/tex]
Rearrange it to solve for resistance (R):
[tex]R = V_{rms}^2 / P[/tex]

Substitute the values:
R = (110.3 V)² / 38.8 W
R ≈ 313.57 Ω

Thus, the resistance of the light bulb is approximately 313.57 Ω.

A particular isotope of plutonium has 94 protons, 147 neutrons, and a mass number of 241.

Explanation:

An atom is identified by two numbers:

Mathematically, this can be rewritten as

[tex]Z=p[/tex]

[tex]A=p+n[/tex]

where

p is the number of protons

n is the number of neutrons

For the isotope of plutonium in this problem, we have

[tex]Z=p=94[/tex], since it has 94 protons

[tex]A=p+n=241[/tex] (mass number)

From the second equation we get

[tex]n=241-p[/tex]

And substituting [tex]p=94[/tex], we find the number of neutrons:

[tex]n=241-94=147[/tex]

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Answer:

92, 147, 227

Explanation:

got it right on edge2022

Answer:

In physical changes, substances might change in the form of the matter(the shape) but not in it's chemical composition.

Explanation:

The shape can change as well as the size and look but it's chemical composition does not change........which means a paper folded into a plane remains a paper and doesn't become anything else.

In chemical changes.......a wood burned changes to charcoal in this it's a new substance not the wood we burned.

The making of paper plane is a physical change and burning of wood is a chemical change. Chemical change gives new substance and is irreversible which means u can't get the wood back again. While physical changes don't give new substances and the plane can again be unfolded into a sheet of paper.

In physical changes, substances might change in form but not in chemical composition.

A physical change is a type of change in which the physical form of the substance is changed but not the chemical composition.

These physical changes affect the form of the chemical substance, but not the chemical composition.

Examples of physical changes;

Thus, we can conclude that in physical changes, substances might change in form but not in chemical composition.

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Answer:

D. Newton's Third Law of Motion

Explanation:

Newton's law of gravity is definitely not applicable to your hands. So we can cross this bad boy out

Newton's First Law is F=MA (force equals mass times acceleration). This is basically the root of most physics but it isn't the reason for your hand being red after hitting a wall.

Newton's Second law deals with velocities and forces, so even though you are apply a force your are not changing the velocity of the wall much.

Newton's Third Law basically says that for whatever force you apply to an object, that object will apply an equal and opposite force back to you. This is why your hand gets red. When you slap the wall with all your strength, the wall hits your hand back with the same amount of force. The 2nd law can also be seen when you're trying to push a desk and it won't budge. You are pushing on it, but the desk is pushing back. (there are multiple other factors applicable like friction but we physicists like to ignore them :) )

I hope this helps!

Answer:work done can be calculated by the following formula;

Explanation:

To solve this we must be knowing each and every concept related to work. Therefore, 1,425J of work Russell do to overcome the force of friction.

Work is defined as "Energy transfer that happens when an item is moved across a distance by such an external force, at least a portion that is exerted inside the direction of displacement" in terms of physics.

If there is a constant force operating on the block, but a difference between the force's direction as well as the displacement it causes. In this situation, the force F applies at an angle of to the displacement d.

The formula for work can be given as work

Work = force ×displacement

force=95.0 N

displacement = 15.0 m

substituting all the given values in the above equation, we get

Work =95.0 × 15.0 m

Work =1,425J

Therefore, 1,425J of work Russell do to overcome the force of friction.

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The type of energy belongs only in the Kinetic Energy category is thermal energy. The correct option is D.

The only type of energy that exclusively falls within the kinetic energy category is thermal energy. It stands for the energy generated from the movement of particles inside a substance, which produces temperature and heat.

Thermal energy is stored energy that directly corresponds to the movement of particles, causing them to vibrate and collide, as opposed to potential energy, which is stored energy based on an object's position or condition.

Depending on the situation, kinetic and potential components can be present in chemical, electromagnetic, mechanical, and nuclear energy.

In conclusion, because it has to do with particle motion and heat transfer, thermal energy is the only type of energy that specifically belongs to the kinetic energy category.

Thus, the correct option is D.

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Answer:

Sulfate

The sulfate or sulphate (see spelling differences) ion is a polyatomic anion with the empirical formula SO2−4. Sulfate is the spelling recommended by IUPAC, but sulphate is used in British English. Salts, acid derivatives, and peroxides of sulfate are widely used in industry. Sulfates occur widely in everyday life. Sulfates are salts of sulfuric acid and many are prepared from that acid.

Sulfide

Sulfide (systematically named sulfanediide, and sulfide(2−)) (British English sulphide) is an inorganic anion of sulfur with the chemical formula S2− or a compound containing one or more S2− ions. It contributes no color to sulfide salts. As it is classified as a strong base, even dilute solutions of salts such as sodium sulfide (Na2S) are corrosive and can attack the skin. Sulfide is the simplest sulfur anion.

Answer:

The new acceleration of gravity is D) 1/16 g

Explanation:

The magnitude of the acceleration of gravity in the gravitational field of a planet is given by

[tex]g=\frac{GM}{r^2}[/tex]

where

G is the gravitational constant

M is the mass of the planet

r is the distance of the object from the centre of the planet

In this problem, the acceleration of gravity g on the surface of the planet (when r=R) is

[tex]g=\frac{GM}{R^2}[/tex]

Then the object is moved to a distance of

r' = 4R

Substituting into the original equation, we can find what is the new acceleration of gravity:

[tex]g'=\frac{GM}{(4R)^2}=\frac{1}{16}(\frac{GM}{R^2})=\frac{1}{16}g[/tex]

So, the acceleration of gravity has decreased by a factor 16.

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Final answer:

When an object is moved from a distance of R to 4R from the center of a planet, the gravitational acceleration it experiences decreases to 1/16th of the original value, making the correct answer D) 1/16g.

Explanation:

The question deals with the change in gravitational acceleration experienced by an object when its distance from the center of a planet is increased. According to Newton's law of universal gravitation, the gravitational force, and hence the acceleration, is inversely proportional to the square of the distance between the objects. Therefore, if the distance is increased from R to 4R, the acceleration will decrease by a factor of the square of the increase in distance. This is calculated as (1/4)^2 or 1/16th of the original acceleration.

So, the correct answer is D) 1/16g. As a comparison, g on the surface of Earth is approximately 9.8 m/s², and when discussing acceleration in multiples of g, it helps to envision the effect of this force under various conditions, such as creating an acceleration of 1 g using centripetal forces.

Answer:

A. case studies, because it's one of the 5 groups that are part of the qualitative methods

Because the action and the reaction forces act on different objects

Explanation:

Newton's third law of motion states that:

"When an object A exerts a force on an object B (action), then object B exerts an equal and opposite force (reaction) on object A"

From the statement above, we clearly see that the two forces mentioned in the law act on different objects. In fact, the action is exerted on object B, while the reaction is exerted on object A.

When we are considering the free-body diagram of an object, we just represent all the forces acting on that object, but not the forces exerted on other objects: this means that the action and the reaction never appear in the same free-body diagram of the same object, so they do not cancel out, simply because they are applied to different objects.

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Answer:

1- The lank with the least slope will be the easiest to climb because it will require the least force.

2- All three paths will require the same energy as the work done will be the same in all three cases.

Explanation:

1-  Work done W = Force x Displacement i.e. W = F × cosФ where 'Ф' is the angle between force and displacement. Smaller the angle least is the force required to climb. Hence the path with least slope will be easier to climb.

2- Since W = F × cosФ as the angle increase cos Ф decrease which means the slope is increase and consequently the force required also increases but the total work done remains the same. Hence the energy required to climb all three Lanks will be the same.

Answer:

The 'b x h' side of the brick exerts more pressure on the ground, P =  1428.57 N/m²    

Explanation:

Given data,

The dimension of the brick, l = 10 cm = 0.1 m

                                              b = 7 cm = 0.07 m

                                              h = 5 cm = 0.05 m

The force exerted by the brick on ground, F = 5 N

The brick has three 2 x 3 sides, b x h, l x h, and l x b

The area of the side, A₁ = b x h

                                        = 0.07 x 0.05

                                         = 0.0035 m²

The area of the side, A₂ = l x h

                                         = 0.1 x 0.05

                                          = 0.005 m²

The area of the side, A₃   = 0.1 x 0.07

                                          = 0.007 m²

The pressure exerted by the surface A₁ on the ground, P₁ = F/A₁

                                                                                                 = 5 / 0.0035

                                                                                                  = 1428.57 N/m²

The pressure exerted by the surface A₁ on the ground, P₂ = F/A₂

                                                                                                  = 5 / 0.005

                                                                                                  = 1000 N/m²  

The pressure exerted by the surface A₁ on the ground, P₃ = F/A₃

                                                                                                 = 5 / 0.007

                                                                                                  = 714.29 N/m²  

Hence, the 'b x h' side of the brick exerts more pressure on the ground, P =  1428.57 N/m²