Within 4. 0 s of liftoff, a spacecraft that is uniformly

accelerating straight upward from rest reaches an altitude

of 4. 50 X 102 m [up).

(a) What is the spacecraft's acceleration?

The moment of inertia of the pendulum about the pivot point is 0.385 kgm2.

A physical pendulum in the form of a planar object moves in simple harmonic motion when it oscillates about a pivot point, and the frequency of oscillation is determined by the moment of inertia of the pendulum about the pivot point.

The frequency of oscillation of the pendulum is given as 0.450 Hz. The moment of inertia of the pendulum I can be calculated using the equation:

[tex]I= ML^{2}[/tex]

where m is the mass of the pendulum and L is the distance from the pivot point to the center of mass.

In this case, the mass of the pendulum is 2.20 kg and the distance from the pivot point to the center of mass is 0.350 m, so the moment of inertia is:

[tex]I=(2.20)(0.350)^{2} \\0.385 Kgm^{2}[/tex]

So, the moment of inertia of the pendulum about the pivot point is

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Answer:

Energy exists in how objects interact with each other. Often energy can only be indirectly observed - by observing the processes that happen within a system.

Explanation:

For example: person A drops a rubber ball on the floor and it bounces back to them.

As it's falling you are creating gravitational energy and turning that into the energy of motion: kinetic energy.

0.433 ohms the maximum output power of the cell per unit of thermal voltage.

The relation between saturation current ,solar current and maximum output power per unit of thermal voltage is given below

[tex](1+\frac{V_{max}}{V_{T}})e^{\frac{V_{max}}{V_{T}}}=\frac{I_{s}+I_{o}}{I_{o}}[/tex]

[tex]I_{s} = solar \: \: current,\: \: I_{o}=reverse \: \: saturation\: \: current[/tex]

Id= (1 x 10⁻⁹)(e¹⁷⁸⁸ – 1) = 58.24 mA

IL = IS – ID = 1.1 A – 58.24 mA = 1.042 A.

VmaxP = K*VT = 17.88 kT/q

RL = VmaxP/ID = (17.88/1042)kT/q = 17.16 kT/q

At 20oC, kT/q = 25.25 mV, hence RL = 0.433 ohms. Load Resistance

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The electric potential is 27.2V

Electric potential is given by equation: V = kq/r

where,

k =  Coulomb's constant = 9 ×10⁹ N m²/C²

r =  Radius = 0.53×10⁻¹⁰ m

Putting these values in above equation we get:

V = (9 ×10⁹)(1.6 × 10⁻¹⁹)/( 0.53×10⁻¹⁰) = 27.2 V

So the electric potential is 27.2V

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The conducting nanoparticles are strongly attracted to the electrodes because they are affected by the oscillating electric fields due to their electrical conductivity, while the other components of the blood, such as blood cells and ions, experience only a weak or no force due to their poor conductivity or lack of charge.

Nanoparticles can interact with the immune system in various ways. They can be engulfed by immune cells, such as macrophages, which can then present antigens to other immune cells, triggering an immune response. They can also evade detection by the immune system by escaping from phagocytic cells or by disguising themselves as host molecules. Additionally, the size, surface chemistry, and shape of nanoparticles can affect how they interact with immune cells, influencing the type of immune response they elicit. Some nanoparticles may also have immunomodulatory properties, meaning they can modulate the immune response in a desired way.

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-1.11 × 10⁻¹³ is the sign and magnitude in coulombs of a point charge that produces a potential of -2.00 v at a distance of 5.00 mm.

Given:

Potential =  -2.00 V

Distance =  5.00 mm

              = 5 × 10⁻³ m

We know that electric potential due to charge is

V = kq/r

where,

v = Electric potential energy

q = point charge

r = distance between any point near the charge to the point of the charge

k = coulomb constant

Now put the values in above equation then we get the value of q from the above equation

[tex]-2 = \frac{8.99 \times 10^{9} \times q}{5 \times 10^{-3}}[/tex]

[tex]q = \frac{-2 \times 5 \times 10^{-3}}{8.99 \times 10^{9}}[/tex]

q = -1.11 × 10⁻¹³

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The acceleration the pilot is experiencing when the plane is at x will depend upon the situation and the specific events or maneuvers that are taking place.

If the plane is traveling at a constant rate of 200 m/s and no other forces are acting on it, the pilot won't experience any acceleration. Constant velocity means that there is no acceleration.

If in this case, the plane is in a turn, climbing or descending, the pilot will experience an acceleration due to the centripetal force acting on the pilot in the direction towards the center of the turn or the force due to gravity acting on the pilot in the case of climbing or descending.

Without more information about the situation, it is not possible to determine the acceleration the pilot is experiencing.

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The resistance of the battery if a current of 23A flows through a circuit and the battery produces a potential difference of 9V is 0.39 ohms.

Resistance is the force that tends to oppose motion. It is measured in ohms. The resistance of a battery can be calculated using the following formula;

V = IR

Where;

According to this question, a current of 23A flows through a circuit and the battery produces a potential difference of 9V. The resistance can be calculated as follows:

R = V/I

R = 9/23

R = 0.39ohms

Therefore, 0.39ohms is the resistance of the battery.

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Answer:

We can use Newton's second law of motion to calculate the net force required to accelerate an object. The equation is:

F = ma

Where:

F = net force (N)

m = mass of the object (kg)

a = acceleration (m/s^2)

Given that the mass of the loaded Boeing 747 is 200,000 kg and the desired acceleration is 3.5 m/s^2. We can substitute these values into the equation:

F = 200,000 kg * 3.5 m/s^2 = 700,000 N

Therefore, the net force required to give the plane an acceleration of 3.5 m/s^2 is 700,000 N. This is a significant force, which is required to overcome the inertia of the massive object, and to move it down the runway.

To an inhabitant of a planet orbiting Merak, 29 degrees apart in the sky would Alkaid and our sun be.

Merak II, a planet orbiting Merak, was practically ruined by a plant plague in the classic Star Trek series episode "The Cloud Minders," which also featured the star Merak. Merak is located in the Nyera Ama Ri valley at an elevation of roughly 3400–3500 metres above sea level.

The distance between the Sun and Alkaid, a blue main-sequence star of the spectral classification B3 V, is approximately 103.9 light-years (31.9 parsecs). The third brightest star in the constellation of Ursa Major, the celestial Great Bear, is Alkaid, also referred to as Eta Ursae Majoris.

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A cannon is a large-caliber gun that belongs to the artillery category. It typically fires a projectile propelled by an explosive chemical.

Before smokeless powder was developed in the late 19th century, gunpowder, sometimes known as "black powder," served as the main propellant.

Depending on their intended purpose on the battlefield, different types of gun combine and balance these characteristics to differing degrees. Cannons differ in gauge, effective range, mobility, rate of fire, angle of fire, and firepower.

The word "cannon" is borrowed from a number of languages, with the original meanings typically being "tube," "cane," or "reed."

Therefore, A cannon is a large-caliber gun that belongs to the artillery category. It typically fires a projectile propelled by an explosive chemical.

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The size of the image is determined by the distance between the object and the mirror (object distance) and the distance between the mirror and the screen (image distance).

Using the formula for image distance (1/f = 1/object distance + 1/image distance), we can find the focal length of the mirror:

1/f = 1/object distance + 1/image distance (twice the object size)

1/f = 1/object distance + 2

1/f = 1/object distance + 1/image distance (three times the object size)

1/f = 1/object distance + 3

We know that the image distance (the distance from the mirror to the screen) is 75 cm in both scenarios, so we can set up the equations using that information:

1/f = 1/object distance + 2 (twice the object size)

75 = 2 * object distance + f

1/f = 1/object distance + 3 (three times the object size)

75 = 3 * object distance + f

Solving for object distance in the first equation:

object distance = (75 - f) / 2

Substituting that into the second equation:

75 = 3 * ((75 - f) / 2) + f

Simplifying and solving for f:

75 = (225 - 3f) / 2 + f

150 = 225 - 3f

3f = 75

f = 25 cm

So the focal length of the mirror is 25 cm.

To find the distance the object is moved, we can use the equation for object distance:

object distance = (75 - f) / 2

object distance = (75 - 25) / 2

object distance = 25 cm

So, the object is moved 25 cm in the process.

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ANSWER:  3.43 m / s² , as  assuming that in  both instances, air resistance is minimal and that the location is close to the Earth's surface, approximately.

EXPLAINATION :  

let us assume displacement be X

acceleration of marker  be A

time to reach the ground be T

According to the presumptions, the marker's acceleration would be constant, and the SUVAT equations would be applicable. X = 1/2 A T²

To determine acceleration, reorder the SUVAT equation:

A = 2X /T²

Now let , [tex]A_mars[/tex] be acceleration at mars and be [tex]T_mars[/tex] time taken on mars

similarly, [tex]A_earth[/tex] be acceleration at earth and [tex]T_earth[/tex] be time taken on earth

since marker travelled the same displacement ,

Using the SUVAT equation from above:

[tex]A_mars[/tex]=  2X ÷[tex]T_mars[/tex] ²  ------- (1)

[tex]A_earth[/tex]= 2X÷ [tex]T_earth[/tex]²     -------- (2)

divide 1 by 2

[tex]A_mars[/tex] /[tex]A_earth[/tex]=  2X / Tmars² ÷   2X/ Tearth²

[tex]A_mars[/tex]      / [tex]A_earth[/tex]=( [tex]T_earth[/tex]  / [tex]T_mars[/tex] )²

[tex]A_mars[/tex] = ( [tex]T_earth[/tex]/ [tex]T_mars[/tex])² X[tex]A_earth[/tex]

             (1.3 s / 2.2 s )² X 9.8m/s²

            3.43 ms⁻²

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Step1:

The marker is first set free from rest so it can fall to the ground. The task's provided values are:

tE=1.3s|gE|=9.8m/s2 and tM=2.1s

On Mars, the acceleration brought on by gravity is necessary.

Step 2:

The equation for the speeding object's position in a gravitational field is the one utilized in this work.

y(t)=y0+v0t+1/2gt2 ....(1)

Step 3:

find y(tE) ==h by solving eq(1).

As a starting position, y0 must equal 0; similarly, v must equal 0.

h=1/2gEtE2 =9.8.1.32/2 =8.28m.

(2)

Step 4:

Use the numbers for Mars and height from Eq (2) to solve for eq(1) for gM. These values are: 

h=1/2gMt2M/.2/t2, 

gM=2h/tm2 =2.828/2.1.

2\s =3.75 m/s2

Step 5:

The outcome is gM=3.75m/s2

Describe acceleration.

In physics, acceleration is the rate at which the velocity of an object changes about time. According to Newton's Second Law, the sum of all forces acting on an item results in its acceleration. The meter per second squared (m s2) is the unit of acceleration used in the SI system.

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Unit of measurement used to describe extraordinary large distances, such as distance of other stars from our own is called light year.

The unit of measurement most commonly used to describe large distances in astronomy is light-year. A light-year is the distance that light travels in one year, and is equivalent to about 5.88 trillion miles (9.46 trillion kilometers).

This unit is used because it is the most convenient way to express large distances in space, such as the distance between stars, galaxies and other celestial objects. For example, our nearest star system, Alpha Centauri, is around 4.37 light-years away, and Andromeda galaxy, closest galaxy to our Milky way, is about 2.5 million light-years away.

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Answer:

  D) 1.84 m

Explanation:

You want to know the length of an inclined plane that offers a mechanical advantage of 2.3 when moving a washing machine a height of 0.8 meters.

A simple machine offers a mechanical advantage when it trades distance for force. In general, the amount of work required remains the same.

The force required is reduced by a factor of the mechanical advantage, while the distance over which that force is applied is increased by the same factor.

The length of the plane is 2.3×0.8 m = ...

  D) 1.84 m

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Answer:

The electric field can be found using Coulomb's law, which states that the force on a point charge due to a uniform distribution of charges is given by the equation:

E = k * Q / r^2

where E is the electric field, k is Coulomb's constant, Q is the total charge, and r is the distance from the point charge to the center of the distribution of charges.

In this problem, we are given that the rod is uniformly charged and has a total charge of -19.4 µC. We are also told that the distance from the point to the center of the rod is 21.8888 cm. To find the electric field, we can substitute these values into Coulomb's law:

E = (8.98755 * 10^9 Nm^2/C^2) * (-19.4 * 10^-6 C) / (21.8888 cm)^2

converting cm to m to get the units of N/C

E = (8.98755 * 10^9 Nm^2/C^2) * (-19.4 * 10^-6 C) / (0.218888 m)^2

E = -5.54717 N/C

The magnitude of the electric field along the axis of the rod at a point 21.8888 cm from the center of the rod is -5.54717 N/C.

Note that the negative sign on the answer indicates that the electric field points in the opposite direction of the distance vector.

The speed of the golf ball just after impact will be 65.22 m/s when the head of a 200-g golf club is traveling at 55 m/s just before it strikes a 46-g golf ball at rest on a tee. after the collision, the club head travels (in the same direction) at 40 m/s.

Initially, head just before it strikes

m1 = 200 g, u1 = 55 m/s

mass of ball m2 = 46 g at rest u2 = 0

After the collision,

head speed v1 = 40 m/s

find: speed of golf ball, v2

Now, applying the Conservation of Linear Momentum

m1u1 + m2u2 = m1v1 + m2v2 {Both traveling in same direction}

200(55) + 0 = 200(40) + 46(v2)

or v2 = 200 x 15/46

or v2 = 65.22 m/s

Therefore, the speed of the golf ball just after impact will be 65.22 m/s when the head of a 200-g golf club is traveling at 55 m/s just before it strikes a 46-g golf ball at rest on a tee. after the collision, the club head travels (in the same direction) at 40 m/s.

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A limited access zone is an area next to a masonry wall that is being built and is clearly marked to restrict access by workers.

The restricted area must extend the entire length of the wall and have a height equivalent to the height of the proposed wall plus four feet. On the un-scaffolded side of the wall, a limited access zone must be formed. For a maximum wall height of 10.668 meters, the load-bearing masonry wall should be at least 304.8 mm (1 foot) thick (35 ft.). Additionally, for every additional 10.668 meters, the brick wall's thickness must be increased by 101.6 mm (4 inches) (35 ft).

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Atomic properties, such as the number of protons and neutrons in the nucleus of an atom, determine an element's atomic number and its ability to undergo nuclear reactions.

What's the relationship between Atomic properties and nuclear power generation?

In the process of nuclear power generation, atoms of a specific element, such as uranium or plutonium, are induced to undergo nuclear fission, releasing a large amount of energy in the form of heat.

This heat is then used to generate electricity in a nuclear power plant. Thus, the atomic properties of the fuel used in a nuclear power plant play a critical role in the generation of nuclear power.

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Most of the carbon, nitrogen, and oxygen in the universe were made in stars through nuclear fusion. Specifically, carbon and oxygen are produced in the later stages of a star's life through the fusion of helium atoms, and nitrogen is produced through the fusion of helium and carbon atoms. This process is known as nucleosynthesis.

Nucleosynthesis is the process by which new atomic nuclei are created. This can happen through a variety of mechanisms, including nuclear fusion and nuclear fission.

The most common type of nucleosynthesis is stellar nucleosynthesis, which occurs in stars. Through the fusion of lighter elements, heavier elements are formed. The fusion of hydrogen nuclei (protons) produces helium, and this process releases a large amount of energy in the form of light and heat. More massive stars can fuse elements up to iron.

Big Bang nucleosynthesis is another important type of nucleosynthesis, which occurred a few minutes after the Big Bang. During this process, protons and neutrons came together to form the nuclei of the lightest elements, such as hydrogen, helium, and lithium.

Another form of nucleosynthesis is explosive nucleosynthesis, which can happen in supernovae. When a massive star exhausts its nuclear fuel and dies, the outer layers of the star are violently expelled and can fuse into heavier elements.

Overall, nucleosynthesis is responsible for the creation of all elements heavier than hydrogen and helium, which were formed during the Big Bang.

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Yes, it does follow that the proton's velocity is parallel to the electric field.

This is because when a particle moves in a constant electric field, it will experience a force equal to its charge multiplied by the magnitude of the electric field. This force will cause the particle to accelerate in the direction of the electric field, resulting in a velocity that is parallel to the electric field.

Additionally, the particle's acceleration is proportional to the electric field's magnitude, so if the electric field is increased, the particle will accelerate faster and its velocity will become more parallel to the electric field. This is why it is important to ensure that the electric field is constant when conducting experiments involving particles in an electric field.

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Two objects moved to 1/3 of the original distance.The new new force if the original force was 45 Newtons is 405 newton.

Force is a physical quantity that describes how two or more objects interact with one another. It has magnitude and direction because it is a vector quantity.

A push or pull on an object is a common way to describe force. It has the ability to accelerate, change direction, or alter an object's size or shape. There are two primary categories of forces: non-contact and contact forces.

Newton (N) is the standard force unit in the International System of Units (SI). The force required to accelerate a mass of one kilogram at a rate of one meter per second squared is referred to as one Newton.

The British system uses the pound-force (lbf), the CGS system uses the dyne, and the Metric system uses the kilopond (kp).

The new force F2 is given by:

F2 = F1 × (d1^2 / d2^2)

F2 = 45 N × (d1^2 / (1/3d1)^2)

F2 = 45 N × (d1^2 / (1/9d1^2))

F2 = 45 N × 9d1^2 / (1/9d1^2)

F2 = 45 N × 9

F2 = 405 N

So, the new force is 405 Newtons.

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The building's height is 143.8 m in SI units, and the rock strikes the ground 6.0 seconds after just missing the building's edgr as it slides downhill.

The kinematic equations of motion that explain the vertical motion of the rock may be used to calculate the height of the construction. We may use the following equations because the rock is launched vertically upward:

Y equals vi*t plus (1/2)at2 vf

^2 = vi^2 + 2ay

The maximum height will be determined first:

y = 0 * 1.75 + (1/2)(-9.8) y = vi*t + (1/2)at2 (1.75)

^2 \sy = 15.0625 m

We shall now determine the ultimate velocity:

vf = -24.3 m/s when vf = vi + 2ay when vf = 0 + 2*(-9.8)*15.0625

Using the final velocity and duration, we can now determine the height of the building:

y=vit+(1/2)at2 y=-24.36+(1/2)(-9.8) (6)

^2 \sy = -143.8 m

The metric system that serves as the industry standard for measurements is called the International System of Units (SI).

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The magnitude of an electron's electric force in a uniform electric field of strength 2360 N/C pointing due east is 3,781 x 10⁻¹⁶ N (positive)

Electric force is defined as the repulsive or attractive interaction between two charged bodies. Newton's laws of motion describe the impact and effects of any force on the given body.

The formula for electric force:

F = E x q

Where,

F = electric force (N)

E = electric field (N/C)

q = charge (Coulomb)

An electron is also negatively charged, with a charge of 1.60217662 10⁻¹⁹ C.

Hence, the magnitude of an electron's electric force in a uniform electric field of strength 2360 N/C pointing due east is:

F = E x q

= (2360 N/C) x (1.60217662 x 10⁻¹⁹ C)

= 3,781 x 10⁻¹⁶ N

The direction is positive.

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Answer:

The difference between a solid and a liquid at the molecular level lies in the strength of the intermolecular attraction.

Explanation:

Solids and liquids have similar densities, so the tightness of the packing is not the difference.

The difference lies in the strength of the intermolecular (between different molecules) attraction. In solids, the intermolecular attractions are strong enough to hold the same molecules together with their neighbors, despite the random thermal vibrations. The same group of nearest neighbor molecules and second nearest and third nearest, and so on out to very large numbers, stays together. So the molecules are stationary, except for vibrations around an average position. That's solid.

the intermolecular forces are strong enough in liquids to keep nearest neighbors together only for short times before the thermal vibrations break apart the groupings. Thus the molecules are always close to each other, but don’t stay next to any particular other molecules, so the whole collection of it can easily flow, but with a specific volume. That’s a liquid.

In a gas, the intermolecular forces are too weak to hold the molecules near each other and the thermal random motion quickly splits up any short-term pairs. So it flows easily with no specific volume - the molecules are all approximately independent from each other.

In ionic solids, there are no specific molecules, but replace “molecules” above with “ions of opposite charge”

if a car has a mass of 1,000 kg that is evenly distributed to its four tires, force each tire apply to the road is 2450 N.

A force is not something an object "has in it" or that it "contains." One thing experiences a force from another. There are both living things and non-living objects in the concept of a force.

To calculate the weight of the car.

Weight = Mass x Acceleration due to gravity

Weight = 1000 kg x 9.8 m/s2

Weight = 9800 N

Divide the weight of the car by 4, to get the force each tire applies to the road

Force = Weight ÷ 4

Force = 9800 N ÷ 4

Force = 2450N

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The velocity of the rocket after launch is 21.67 m/s.

The velocity of the rocket after launch can be calculated by using the equation of motion for the conservation of momentum.

The initial momentum of the rocket-fuel system is zero (the rocket is at rest on the launch pad), and the final momentum is equal to the mass of the rocket (3 kg) multiplied by its velocity after launch.

We know that the initial momentum is zero, and the final momentum is (mass * velocity)

we can find the final velocity by,

final momentum = mass * velocity

= (3kg) * v

We also know that the fuel is ejected out the back of the rocket at a velocity of 650 m/s

So the momentum of the fuel is equal to its mass (100 g) multiplied by its velocity.

momentum of fuel = mass * velocity

= (0.1 kg) * 650 m/s

The momentum of the rocket-fuel system must be conserved, so the final momentum of the rocket after launch is equal to the momentum of the fuel that was ejected.

final momentum = (3 kg) * v = (0.1 kg) * 650 m/s

By solving V, we get:

v = (0.1 kg * 650 m/s) / 3 kg = 21.67 m/s

So the velocity of the rocket after launch is 21.67 m/s.

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Earth suddenly has 3 times as much mass ... weight is 3 times as much

You're suddenly 4 times as far from the center ... weight = (1/4²) = 1/16

New weight = (original weight) x (3/16)

New weight = (750 N) x (3/16)

New weight = 140.6 N

1) Because the moon Pandora is smaller than the Earth, it is likely to have a weaker gravitational pull and a thinner atmosphere. This means that heavier objects, like people, would be able to fly and jump higher than on the Earth.

2) No, there was no evidence of this difference in the movie. If there was, the characters should have been seen flying or jumping higher than what is normal on Earth.

3) In the movie, one of the characters is able to fly while holding onto a large tree branch. This violates the law of physics, as the branch should not be able to remain afloat due to its size and weight.

4) The Na'vi aliens have some traits that make them too similar to humans and animals on Earth. These traits include having two eyes, a humanoid shape, and speaking a language. They also have animals that are similar to those found on Earth, such as horses, birds, and dogs.

What is gravitional pull?

Gravitational pull is the force of attraction between objects that have mass. It is the force that keeps us on the ground and keeps the planets in orbit around the sun. It is a fundamental force of nature that is caused by the interaction between two objects with mass.

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a) The total time in air is 34.1 s

b) The maximum height is 1428 m

c) The horizontal distance is 6343 m

d) The velocity after 5 s is 299 m/s

Let us note that the projectile has to do with any object that is moving along a parabolic path.

a) Time of flight = 2usinθ/g

u = initial velocity

g = acceleration due to gravity

θ = angle of projection

T = 2 * 250 sin 42/9.8

= 34.1 s

b) H = v^2sin^2θ/2g

H = (250)^2 sin^2(42)/2(9.8)

H = 27983/19.6

H  = 1428 m

c) R = v^2 sin2θ/g

R = (250)^2sin 2(42)/9.8

R = 6343 m

d) v = u + gt

v = 250 + (9.8 * 5)

v = 299 m/s

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