Compare how newton understood gravity to how Einstein describes Gravity

Answers

Answer 1
Action= Reaction newton understood gravity
Gravitional wave into the all the universe Einstein describes
Answer 2

Final answer:

Gravity according to Newton is a pulling force between objects with mass, while Einstein's general relativity posits gravity as the warping of spacetime by mass. While Newton's theory works well for less extreme situations, Einstein's accommodates oddities in strong gravitational fields and explains anomalies like Mercury's orbit that Newton's law could not.

Explanation:

Understanding Gravity: From Newton to Einstein

In his universal law of gravitation, Sir Isaac Newton described gravity as a force that pulls any two objects with mass toward one another, proportional to the product of their masses and inversely proportional to the square of the distance between their centers. This concept allowed Newton to explain both the motion of falling objects on Earth and the celestial movements of planets and moons. Objects are drawn towards each other along a line connecting their centers, similar to an invisible 'tug of war.'

Albert Einstein's theory of general relativity, on the other hand, provided a revolutionary understanding of gravity. Instead of viewing gravity as a force, Einstein described it as the warping of spacetime by mass. Massive objects distort the fabric of spacetime, creating what we perceive as gravitational attraction, akin to how a heavy object placed on a stretched-out sheet would cause it to curve and objects around it to roll towards the impression.

Newton's theory operates exceptionally well for everyday phenomena and has been crucial for developments like space travel. However, Einstein's general relativity illuminates peculiar behaviors in strong gravitational fields, such as around black holes, and accounted for the precession of Mercury's orbit, a detail classical physics could not explain. While Einstein's model modifies Newton's, both theories address the observed accelerations of massive bodies influenced by gravity.

It is essential to note that while Einstein's theory adjusts Newton's laws, it does not render them obsolete. Einstein's predictions coincide with Newton's in situations of weaker gravitational fields - a testament to the accuracy of Newton's calculations in familiar conditions. This congruence illustrates Einstein's respect for the robustness of Newtonian physics while extending our understanding to the cosmos's most extreme environments.


Related Questions

The _______ force is responsible for the way that electrical charges and magnets interact with each other

Answers

Answer:

Electromagnetic energy/force

Explanation:

Electromagnetism: Electromagnetism is an interaction that occurs between particles with electric charge via electromagnetic fields. It combines electrostatics and magnetism, distinct but closely intertwined phenomena. The electromagnetic force is dominant in the interactions of atoms and molecules.

Electric Forces: Electric forces cause attraction between particles with opposite charges and repulsion between particles with the same charge. These forces are described by Coulomb’s law for electricity.

Magnetic Forces: Magnetism arises from the interaction between charged particles in relative motion. The magnetic force acts perpendicular to both the velocity of the charged particle and the magnetic field.

Applications: Electromagnetism plays a vital role in technology, including electrical energy production, communication (fibre optics and wireless), sensors, computation, and mechanical motors. It also explains chemical bonding and the behaviour of atoms and molecules.

In summary, electromagnetic force governs the behaviour of charged particles and underpins much of our understanding of the physical world

a car with a mass of 1400 kg is traveling at a speed of 40 m/s. what is it's momentum

Answers

I believe the answer is 56000 kgm/s

A force of 150N is inclined at 50° t The horizontal direction. Find it's components in horizontal and vertical direction

Answers

The solution is attached below.

A refrigerator removes 55.0 kcal of heat from the freezer and releases 73.5 kcal through the condenser on the back.How much work was done by the compressor

Answers

Here refrigerator removes 55 kcal heat from freezer

Refrigerator releases 73.5 kcal heat to surrounding

So here we can use energy conservation principle by II Law of thermodynamics

the law says that

[tex]Q_1 = Q_2 + W[/tex]

here we know that

[tex]Q_1[/tex] = heat released to the surrounding

[tex]Q_2[/tex] = heat absorbed from freezer

W = work done by the compressor

now using above equation we can write

[tex]73.5 = 55 + W[/tex]

[tex]W = 73.5 - 55[/tex]

[tex]W = 18.5 kcal[/tex]

So here compressor has to do 18.5 k cal work on it

Final answer:

The work done by the refrigerator's compressor, when it removes 55.0 kcal of heat from the freezer and releases 73.5 kcal through the condenser, is calculated to be 77,464 joules, after converting kcal to joules.

Explanation:

To determine the work done by the compressor in a refrigerator when it removes 55.0 kcal of heat from the freezer and releases 73.5 kcal through the condenser on the back, we can use the principle of conservation of energy. According to the first law of thermodynamics, the energy extracted from the freezer plus the work done by the compressor equals the energy released into the environment through the condenser.

The work done by the compressor (W) can be calculated by subtracting the heat removed from the cold reservoir (Qc) from the heat added to the hot reservoir (Qh).

First, we need to convert the heat quantities from kcal to joules because the standard unit of energy in physics is the joule (J). 1 kcal = 4184 J, therefore:

Qc = 55.0 kcal * 4184 J/kcal = 230120 J

Qh = 73.5 kcal * 4184 J/kcal = 307584 J

Now, calculate the work done:

W = Qh - Qc = 307584 J - 230120 J = 77464 J

Therefore, the compressor performed 77464 J of work in this process.

A time-varying magnetic field is caused by which of the following?
-current carrying wires carrying a constant current
-a positive test charge moving through a constant electric field
-fluctuating electric fields
-the interaction with earth’s magnetic field

Answers

A time-varying magnetic field can be caused by fluctuating electric fields.

Answer:

-fluctuating electric fields

Explanation:

As we know that electric field and magnetic field is related by the equation given as

[tex]\int E. dl = -\frac{d\phi}{dt}[/tex]

here we know that

[tex]\phi = B.A[/tex]

now we have magnetic field is time varying

[tex]\int E.dl = -A\frac{dB}{dt}[/tex]

now for closed loop of radius "r" we will have

[tex]E(2\pi r) = - A\frac{dB}{dt}[/tex]

[tex]E = -\frac{A}{2\pi r}\frac{dB}{dt}[/tex]

so here this produce electric field as per above formula and it is also known as non conservative electric field.

A stuntwoman is going to attempt a jump across a canyon that is 77 m wide. The ramp on the far side of the canyon is 25 m lower than the ramp from which she will leave. The takeoff ramp is built with a 15º angle from horizontal. If the stuntwoman leaves the ramp with a velocity of 28 m/s, will she make the jump? Why?

Answers

initial speed of the stuntman is given as

[tex]v = 28 m/s[/tex]

angle of inclination is given as

[tex]\theta = 15 degree[/tex]

now the components of the velocity is given as

[tex]v_x = 28 cos15 = 27.04 m/s[/tex]

[tex]v_y = 28 sin15 = 7.25 m/s[/tex]

here it is given that the ramp on the far side of the canyon is 25 m lower than the ramp from which she will leave.

So the displacement in vertical direction is given as

[tex]\delta y = -25 m[/tex]

[tex]\delta y = v_y * t + \frac{1}{2} at^2[/tex]

[tex]-25 = 7.25 * t - \frac{1}{2}*9.8* t^2[/tex]

by solving above equation we have

[tex]t = 3.12 s[/tex]

Now in the above interval of time the horizontal distance moved by it is given by

[tex]d_x = v_x * t[/tex]

[tex]d_x = 27.04 * 3.12 = 84.4 m[/tex]

since the canyon width is 77 m which is less than the horizontal distance covered by the stuntman so here we can say that stuntman will cross the canyon.

Which cloud type is confined to the middle height range?

Answers

It would be alto. I hope that is one of your answers.

Which cloud type is confined to the middle height range?

A.  cumulonimbus

B.  cirrus

C.  cirrostratus

D.  altostratus

Answer:

D.  Altostratus

Explanation:

Altostratus cloud is a type of physical stratiform: a cloud which can be identified by its gray or blueish gray colour. It is a middle level cloud, that is associated with a storm and excessive rain or snow. It contains ice crystals and water droplets, and it is lighter in colour when compared to nimbostratus, while it is darker in appearance when compared to cirrostratus.

What is the definition of fluid friction?

Answers

the force that resists the movement of a solid object through a fluid (liquid or gas). Hope this helps.

Fluid friction, or drag, is the force resisting the motion of an object through a fluid like water or air. It depends on factors such as fluid viscosity, object shape and speed, and contact surface area. Examples include a boat moving through water and air resistance on a falling parachutist.

Fluid friction, also known as drag, is the force that opposes the motion of an object through a fluid (liquid or gas). This type of friction occurs when layers of the fluid move at different speeds or directions. For instance, a boat moving through water experiences fluid friction between the hull and the water, which resists its motion.

Fluid friction is influenced by several factors, including the viscosity of the fluid, the shape and speed of the object, and the surface area in contact with the fluid. An example of this is air resistance, which acts on a parachutist falling through the atmosphere, slowing their descent due to the opposition force of the air.

Vector A⃗ points in the positive y direction and has a magnitude of 12 m. Vector B⃗ has a magnitude of 33 m and points in the negative x direction.
Find the direction of A⃗ + B⃗ .
Find the magnitude of A⃗ + B⃗

Answers

vector A has magnitude 12 m and direction +y

so we can say

[tex]\vec A = 12 \hat j[/tex]

vector B has magnitude 33 m and direction - x

[tex]\vec B = -33 \hat i[/tex]

Now the resultant of vector A and B is given as

[tex]\vec A + \vec B = 12 \hat j - 33 \hat i[/tex]

now for direction of the two vectors resultant will be given as

[tex]\theta = tan^{-1}\frac{12}{-33}[/tex]

[tex]\theta = 160 degree[/tex]

so it is inclined at 160 degree counterclockwise from + x axis

magnitude of A and B will be

[tex]R = \sqrt{A^2 + B^2}[/tex]

[tex]R = \sqrt{12^2 + 33^2} = 35.11 m[/tex]

so magnitude will be 35.11 m

Final answer:

The direction of the resultant vector A› + B› is 20.1° north of the negative x-axis, and its magnitude is approximately 35.1 m.

Explanation:

To find the direction and magnitude of the resultant vector A› + B›, we can use vector addition. Vector A› points in the positive y direction and has a magnitude of 12 m, so its components are (0, 12). Vector B› has a magnitude of 33 m and points in the negative x direction, with components (-33, 0). By adding these components, we get the resultant vector R = A + B = (0 - 33, 12 + 0) = (-33, 12).

To find the magnitude of the resultant vector, we use the Pythagorean theorem:

|R| = √((-33)^2 + (12)^2) = √(1089 + 144) = √(1233) ≈ 35.1 m

The direction of resultant vector R can be found by calculating its angle θ with respect to the negative x-axis (since the x component is negative) using the tangent function:

θ = arctan(|12| / |-33|) = arctan(12 / 33) ≈ 20.1°

The direction is therefore 20.1° above (north of) the negative x-axis.

You are standing at a subway platform when a subway passes, sounding its whistle. If you observe the whistle to be at 12750Hz when it is approaching you and at 10750Hz after it passes,

Answers

As per doppler's Effect of sound we can say when subway is approaching the platform we will have

[tex]f_1 = f_o* \frac{v}{v- v_s}[/tex]

[tex]12750 = f_o* \frac{340}{340 - v_s}[/tex]

Similarly we can find the frequency when subway is passing away with same speed from us

[tex]f_2 = f_o* \frac{v}{v + v_s}[/tex]

[tex]10750 * f_o* \frac{340}{340 + v_s}[/tex]

now we can find the ratio of two

[tex]\frac{12750}{10750} = \frac{340 + v_s}{340 - v_s}[/tex]

[tex]1.186*(340 - v_s) = 340 + v_s[/tex]

[tex]403.26 - 1.186 v_s = 340 + v_s[/tex]

[tex]63.26 = 2.186 v_s[/tex]

[tex]v_s = \frac{63.26}{2.186}[/tex]

[tex]v_s = 28.94 m/s[/tex]

So the speed of subway is 28.94 m/s

use the drop down means to classify the elements as alkali metals alkaline eather metals or transition metals

Answers

Answer:

Nickel - Transitional Metal

Potassium- Alkali Metal

Cadmium- Transitional Metal

Calcium- Alkaline Earth Metal

Barium- Alkaline Earth Metal

Explanation:

Answer:

Nickel - Transitional Metal

Potassium- Alkali Metal

Cadmium- Transitional Metal

Calcium- Alkaline Earth Metal

Barium- Alkaline Earth Metal

Explanation:

A moving freight car collides with an identical one that is at rest. If momentum is conserved, what happens to the second car after the collision?

Answers

Answer

There will be two different possiblites as

May be one is in rest or other move

May be both will be in motion

Expalanation

According to Conservation Law of Momentum, when the two objects collide with each other, they transferred their kinetic energy to keep their momentum before or after collisions remain constant. In the present example, one moving car collides with another car which is at rest and has the same weight. There will be two possibilities after the collision as an elastic collision or perfect inelastic collision. In the elastic collision, the one car will adopt the rest position after the collision and transfer it K.E to make the rest car at the movable position. In the perfect inelastic collision, both cars will move after the collision.

Answer:

It attains the same speed as the first car.

A satellite in deep space is on a mission to Neptune. It fires its engines to change its velocity toward Neptune at a speed of 200 kilometers per hour. Suddenly, the engines stop working. After a few minutes, what is the velocity of the satellite?

Answers

The velocity of the satellite will be 200 kmph.

Since the satellite is in deep space, and there is nothing to restrict the motion of the satellite (No atmosphere or no friction), therefore the stopping of engine will not affect the velocity of the satellite.

Therefore the velocity of the satellite after few minutes will be 200 kmph.

An object is travelling with a constant acceleration of 10 ms⁻² . how much distance will it travel in 3rd second of its journey?

Answers

Given:

Acceleration is uniform and acceleration (a) = 10 m/s^2

Now it has been mentioned for the first 2 secs the acceleration is 10m/s^2 .

Hence velocity= acceleration x time

Velocity= 10 x 2 = 20 m/s

Consider s as the distance traveled in the 3rd second.

Now we know s= ut+1/2(at^2)

Where s is the distance measured in m.

u is the initial velocity measured in m/sec

t is the time taken for the object to travel the above distance. This is equal to one second as we need to calculate the distance traveled between 3rd and 2nd second.

t = (3-2)= 1 sec

Substituting the given values in the above formula we get

s = 20 x1 + 1/2 (10 x 1 x 1)

s = 25 m

Thus the distance traveled by the object in the 3rd second is 25 m

which force causes acceleration(gravity)(friction)(velocity )(energy)

Answers

Hello :)

The answer to this problem I️ believe is Velocity. Velocity is the speed of something in any given direction, in general it is used for a term of speed or acceleration.

Hope this helps! ;)
Final answer:

Gravity is the force that causes acceleration. Friction is a force that opposes motion, energy is a capacity to do work, and velocity is a measure of speed in a specific direction.

Explanation:

Of the forces listed in your question, it is the force of gravity that causes acceleration. For example, when an object is dropped, it accelerates toward Earth under this force. This is popularly known as the force of gravity and represented as 'g'. The rate of acceleration due to gravity on Earth is approximately 9.81 m/s². Friction, on the other hand, actually opposes motion and may cause deceleration, if it is the only force acting on an object. Energy is a capacity to do work and does not directly cause acceleration, while velocity is a measure of speed in a specific direction and is a result, not a cause, of acceleration.

Learn more about Forces and Acceleration here:

https://brainly.com/question/34647691

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Suppose you dissolve 12.8 g of one substance in 11 g of another. Is this reasonable? Explain

Answers

Answer:

No, its not reasonable.

Explanation:

The substance that is to be dissolved is known as solute. The substance that is dissolving is known as solvent.

The amount of solvent  in the mixture should be greater than that of solute.

Suppose we are taking a solvent in a beaker and we are continuously adding solute in it. Initially the solute dissolve quickly. At some point the solute stops dissolving in the solvent. This is known as saturation point of the solvent. After saturation point if solute is added further it does not dissolve in the solvent.

So, its not possible to dissolve 12.8 g of one substance in 11 g of another.

what is the sum of all forces acting on an object and direction

Answers

The sum of all forces on an object is the net force or resultant force. If all the forces cancel out , resultant force is zero , otherwise unbalanced force will cause acceleration of object .

Force is the vector, has both direction and magnitude.

Final answer:

The sum of all forces acting on an object is called the net force. It takes into account the magnitude and direction of each individual force. Internal forces cancel out, resulting in a net force of zero, while external forces are added together vectorially to find the net force.

Explanation:

The sum of all forces acting on an object and their direction:

In physics, the sum of all forces acting on an object is called the net force. The net force takes into account the magnitude and direction of each individual force. To find the net force, you need to consider both internal and external forces.

Internal Forces:

Internal forces are the forces between different parts of the object. According to Newton's third law, these forces always come in pairs with equal magnitudes but opposite directions. When you add all the internal forces together, they cancel out and the sum of all internal forces is zero.

External Forces:
External forces are the forces applied to the object by external sources. The sum of all external forces is equal to the net force acting on the object. To calculate the net force, you need to add up all the external forces vectorially, taking into account their magnitudes and directions.

when the mass of an object increases, it gravitational pull(increases)(decreases)(stay the same

Answers

I'm pretty sure the answer is the gravitational pull  increases

Answer:

if we increase the mass gravitational pull increases

Explanation:

According to gravitational law

Force between masses is given by [tex]F=\frac{Gm_1m_2}{R^2}[/tex], here G is gravitational constant [tex]m_1\ and\ m_2[/tex] are masses and R is distance between them

From the relation we cans see that gravitational pull is directly proportional to mass of the object

So if we increase the mass gravitational pull increases

describe a scientific method

Answers

The process of scientific method involves making hypotheses , driving predictions from them as logical consequences , and then carrying out experiments or empirical observations based on those predictions. A hypotheses is a conjecture , based on knowledge obtained while seeking  answers to the questions.

Answer: The scientific method is a systematic approach used by scientists to investigate and understand the natural world. It consists of several steps that help to ensure objectivity, accuracy, and reliability in the process of scientific inquiry.

It's important to note that the scientific method is an iterative process, meaning that scientists often repeat steps and refine their approach based on new information and insights gained from previous experiments. This helps to build a stronger understanding of the natural world and contributes to the development of scientific knowledge.

Explanation:

1. Observation: The scientific method begins with making careful observations about a phenomenon or event. This could involve gathering data, conducting experiments, or examining existing information.

For example, let's say you notice that plants in your garden are growing taller when they receive more sunlight.

2. Research: Once an observation is made, scientists conduct research to gather information and background knowledge related to the phenomenon they are studying. This can involve reviewing existing studies, reading scientific literature, or consulting experts in the field.

In our example, you might research how sunlight affects plant growth and find relevant studies on the topic.

3. Hypothesis: After conducting research, scientists develop a hypothesis, which is a tentative explanation or prediction for the observed phenomenon. The hypothesis should be testable and based on the available evidence.

In our example, a hypothesis could be that increased exposure to sunlight promotes plant growth due to the role of sunlight in photosynthesis.

4. Experimentation: To test the hypothesis, scientists design and carry out experiments. This involves carefully controlling variables and collecting data to analyze and draw conclusions from.

In our example, you might set up an experiment where you expose different groups of plants to varying amounts of sunlight and measure their growth over a period of time.

5. Analysis: Once the data is collected, scientists analyze it using statistical methods to determine if the results support or refute the hypothesis. This analysis helps to draw meaningful conclusions from the experiment.

In our example, you would analyze the data collected from the different groups of plants to see if the ones exposed to more sunlight indeed grew taller.

6. Conclusion: Based on the analysis of the data, scientists draw conclusions about the hypothesis. If the results consistently support the hypothesis, it may be considered valid. If not, scientists may revise the hypothesis and repeat the process.

In our example, if the plants exposed to more sunlight consistently grew taller, it would support the hypothesis that increased sunlight promotes plant growth.

Studies show that the amount of heat stored in the ocean is increasing. What effect might this have?

Answers

this warming will have an effect on the bicarbonate buffer of the ocean.

Answer:

Ocean currents might change course

Explanation:

what is the velocity of a car that traveled a total of 75 kilometers north in 1.5 hours?

Answers

50 kilometers should be it

Answer:

13.89 m/s

Explanation:

Velocity=Displacement/Time

Explanation:

75 km = 75000 m

1.5 hours = 5400 sec

Applying the formula

Velocity =75000 m 5400 s = 13.89 m/s

The resistance of an electric device is 40,000 microhms convert that measurement to ohms

Answers

The answer would be 0.04ohms.

Answer:

The resistance of an electric device is 0.04 ohms.

Explanation:

Given that,

Resistance = 40,000 micro ohms

We need to convert micro ohms to ohms

We know that,

[tex] 1 micro ohms = 10^{-6}\ ohms[/tex]

Therefore,

[tex]40000\ micro ohms=40000\times10^{-6}\ ohms[/tex]

[tex]40000\ micro ohms=0.04\ ohm[/tex]

Hence, The resistance of an electric device is 0.04 ohms.

Val is comparing the gravitational force and the electromagnetic force
Which describes the electromagnetic force ONLY? Check all that apply

Answers

The correct answers are:

- is repulsive

- produces light

- produces electricity

Explanation:

The electromagnetic force can be either attractive (when the two charges have opposite sign) or repulsive (when the two charges have same sign). On the contrary, the gravitational attraction is always attractive, so "is repulsive" is a property of the electromagnetic force only.

Moreover, as a result of electromagnetic interactions, photons can be produced (so, light, since light consists of photons), as well as electrons or other charged particles (so, electricity, since electrical currents consists of electrons or charged particles), while the gravitational force is not able to produce light or electrical currents.

If Val is comparing the gravitational force and the electromagnetic force, what applies is:

- is repulsive- produces light- produces electricityHow to get the answer

Electric and Magnetic Interaction: The electromagnetic force encompasses both electric and magnetic interactions. It is responsible for electric attraction and repulsion between charged particles and the behavior of magnets.

2. Acts on Charged Particles: The electromagnetic force acts on charged particles, which can be positively charged (protons), negatively charged (electrons), or both. Like charges repel each other, while opposite charges attract.

Read more on  gravitational force here https://brainly.com/question/27943482

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Materials with resistivities between those of good conductors and those of insulators are called:

Answers

semiconductors ... silicon, germanium etc ...

Answer:

Semiconductors

Explanation:

The resistivity of conductors is low and the resistivity of insulators is high. The materials having resistivity between conductors and insulators are called semiconductors.

For example, silicon, gemanium, etc.

The elements having valency +4 are the semiconductors.

By increasing the temperature os a semiconductor, the conductivity increases or by the process of dopping the conductivity of semiconductor also increases.

Soundproof rooms take advantage of which property of waves

Answers

The answer is Absorption.


The Absorption one


and im writing more cause 20 character thing

Am I correct?? Will give brainliest

Answers

Yes that looks correct to me. good luck!!

Please help me with question 1 of this reflections and refraction of waves worksheet, I’m really confused as to this labelling!

Answers

Here ya go.  Check it out.

(this is somehow part of my science unit, dont ask why)
The height of a coffee mug would be about:
50 mm
20 cm
8 m
0.1 km

Answers

Answer:

 Height of coffee mug = 5 cm

Explanation:

  Changing all the data given in to unit cm

              50 mm = 5 cm

              20 cm  = 20 cm

              8 m    = 800 cm

              0.1 km = 100 m = 10000 cm

Since we need to find the height of coffee mug, it's height will not be more than 10 cm.

  So 5 cm is the correct choice.

Help Please!
Could someone help me out with this one?

Answers

mass of the chair = 25 kg

Force required to start the motion = 165 N

Force required to maintain the motion = 127 N

part a)

when we applied the force to just start the motion then it is just equal to the limiting friction force

[tex]F_s = F[/tex]

now as we know that

[tex]\mu_s mg = 165[/tex]

[tex]\mu_s * 25 * 9.8 = 165[/tex]

[tex]\mu_s = \frac{165}{25*9.8}[/tex]

[tex]\mu_s = 0.67[/tex]

PART b)

when object has started motion then to maintain its motion we need external force to balance kinetic friction  

[tex]F_k = F[/tex]

now as we know that

[tex]\mu_k mg = 127[/tex]

[tex]\mu_k * 25 * 9.8 = 127[/tex]

[tex]\mu_k = \frac{127}{25*9.8}[/tex]

[tex]\mu_k = 0.52[/tex]

Frim the castle wall 20 m high shot an arrow. The initial speed of the bow is 45 m/s directed 40 degrees above horizontal. Find the range and hI e final velocity

Answers

Answer:

Range of arrow = 225.09 meter

Final horizontal velocity = 34.47 m/s

Explanation:

We have equation of motion [tex]s=ut+\frac{1}{2} at^2[/tex], where u is the initial velocity, t is the time taken, a is the acceleration and s is the displacement.

Considering the vertical motion of arrow ( up direction as positive)

   We have u = 45 sin40 = 28.93 m/s, s = -20 m, a = acceleration due to gravity = [tex]-9.8m/s^2[/tex].

   [tex]-20=28.93*t-\frac{1}{2} *9.8*t^2\\ \\ 4.9t^2-28.93t-20=0[/tex]

   t = 6.53 seconds or t = -0.63 seconds

   So time = 6.53 seconds.

Considering the horizontal motion of arrow

   u = 45 cos 40 = 34.47 m/s, t = 6.53 s, a = [tex]0m/s^2[/tex]

   [tex]s=34.47*6.53+\frac{1}{2} *0*6.53^2\\ \\ s=225.09m[/tex]

So range of arrow = 225.09 meter

Horizontal velocity will not change , final horizontal velocity = 34.47 m/s.

Other Questions
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