A skydiver jumped out of a plane, determine distance he descended after 5 seconds. Gravity is pulling him down at 10 m/s^2 (air resistance is negligible).

Motion is a change in position.

If one object A changes its position with reference to an object B positioned at a fixed place (Reference point), Object A is said to be in motion. This change in position is caused due to different parameters.

The rate at which an object changes its position is termed as speed. Velocity is a vector quantity that measures both the speed of the object and its direction. Acceleration is the rate of change in velocity. Distance is the total path-length of the object performing motion. Displacement is the shortest distance between two points of motion path ( the difference between final position and initial position) and it is a vector quantity. If an object changes its position, it is said to be in motion.

Motion in physics is defined as the change in position of an object with respect to its surroundings in a given period of time. Therefore, when a vehicle moves down a street or a person walks across a room, they are exhibiting motion by changing position.

Motion refers to a change in position of an object with respect to its surroundings in a given period of time. The concept of motion is fundamental in physics and is part of the wider study of physical science. A simple example of motion would an object changing its physical location from point A to point B, thus altering its position.

For instance, if you observe a car moving down the street, you can see that the car's position relative to structures such as buildings and trees changes. This changing displacement over time means the car is in motion.

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Answer:

58.1 m

Explanation:

Draw a free body diagram of the vehicle.  There are three forces: normal force N pushing up, weight force mg pulling down, and friction force Nμ pushing towards the center of the circle.

Sum of forces in the y direction:

∑F = ma

N − mg = 0

N = mg

Sum of forces in the radial direction:

∑F = ma

Nμ = m v² / r

Substitute and solve for r:

mgμ = m v² / r

gμ = v² / r

r = v² / (gμ)

Plug in values:

r = (20 m/s)² / (9.8 m/s² × 0.703)

r = 58.1 m

Final answer:

The radius of the curve is approximately 129.9 meters.

Explanation:

In order to calculate the radius of the curve, we can use the formula for centripetal force:

Fc = μmg

Where Fc is the centripetal force, μm is the coefficient of friction, m is the mass of the vehicle, and g is the acceleration due to gravity.

Since the maximum safe speed is given as 20 m/s, we can calculate the maximum centripetal force using the equation:

Fc = mV2/R

Where V is the velocity and R is the radius.

Equating these two expressions for centripetal force, we get:

mV2/R = μmg

Substituting the given values, we have:

(20)2/R = (0.703)(9.8)

Simplifying, we find:

R = (20)2/((0.703)(9.8))

R ≈ 129.9

Case d) has the strongest gravitational force

Explanation:

The magnitude of the gravitational force between two objects is given by the equation:

[tex]F=G\frac{m_1 m_2}{r^2}[/tex]

where :

[tex]G=6.67\cdot 10^{-11} m^3 kg^{-1}s^{-2}[/tex] is the gravitational constant

m1, m2 are the masses of the two objects

r is the separation between the objects

a) For this pair of objects:

m1 = 10 kg

m2 = 2 kg

r = 30 km = 30,000 m

So the gravitational force is

[tex]F=(6.67\cdot 10^{-11})\frac{(10)(2)}{30000^2}=1.48\cdot 10^{-18}N[/tex]

b) For this pair of objects:

m1 = 10 kg

m2 = 10 kg

r = 30 km = 30,000 m

So the gravitational force is

[tex]F=(6.67\cdot 10^{-11})\frac{(10)(10)}{30000^2}=7.41\cdot 10^{-18}N[/tex]

c) For this pair of objects:

m1 = 2 kg

m2 = 2 kg

r = 10 km = 10,000 m

So the gravitational force is

[tex]F=(6.67\cdot 10^{-11})\frac{(2)(2)}{10000^2}=1.33\cdot 10^{-17}N[/tex]

d) For this pair of objects:

m1 = 10 kg

m2 = 10 kg

r = 10 km = 10,000 m

So the gravitational force is

[tex]F=(6.67\cdot 10^{-11})\frac{(10)(10)}{10000^2}=6.67\cdot 10^{-17}N[/tex]

Therefore, the  strongest gravitational force is in case d).

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Answer:

2.86 m/s

Explanation:

Speed= distance/time

speed= 100m / 35s

100/35= 2.86 (simplified)

2.86m/s= 100m / 35s

Zeta's speed is 2.86 m/s.

To determine Zeta's speed, we need to use the formula for speed:

Speed = Distance / Time

In this case, Zeta runs across a football field that is close to 100 meters long in 35 seconds. Therefore, the speed calculation will be:

Speed = 100 meters / 35 seconds = 2.86 meters per second (m/s)

Therefore, Zeta's speed is approximately 2.86 m/s.

Final answer:

The electromagnetic spectrum is a range of all types of electromagnetic radiation used by astronomers to gather detailed information about the universe's components. Different wavelengths carry distinct information, and observing in various electromagnetic bands yields a fuller understanding of celestial objects.

Explanation:

Understanding the Electromagnetic Spectrum

The electromagnetic spectrum is a continuous range of wavelengths that encompasses all forms of electromagnetic radiation, from the longest radio waves to the shortest gamma rays. This spectrum includes visible light, which is only a small portion of the entire range. Each category of radiation within the spectrum carries unique information that can be used to study various components in the universe.

How Astronomers Use the Electromagnetic Spectrum

Astronomers harness different wavelengths of light from the electromagnetic spectrum to extract valuable data about astronomical objects, such as the nature of stars and other celestial bodies. This is done by analyzing the amounts of energy received at different wavelengths. Not only does this hold true for visible light, but radio waves, infrared, ultraviolet, X-rays, and gamma-rays are also extensively used to gather information. Observing the universe in different bands of the electromagnetic spectrum provides a more complete and complex understanding of its components.

Observations at varying wavelengths can yield diverse information about celestial objects, such as the chemical composition, temperature, and motion of stars and galaxies. The different types of light can reveal phenomena that are not detectable in visible light alone, thereby offering a more holistic view of the cosmos.

HEAT

1.It is a form of energy which gives sensation of warmth.

2.It is measured by calorimeter.

3.Its SI unit is Joule.

Temperature

1.The degree of hotness and coldness of a body is called temperature.

2.It is measured by Thermometer.

3.Its SI unit is Kelvin

Answer:

A

Explanation:

Explanation:

Newton's first law of motion states: "an object in motion stays in motion, and an object at rest stays at rest, until acted upon by an unbalanced force."

When you're riding in a vehicle, your body is moving forward.  When the vehicle slows or turns, your body's inertia continues to move you forward.  The seatbelt is the unbalanced force that pushes you back into your seat.  Without it, you would slide off your seat.

Since there is a tendency for motion to continue in accordance to Newtons laws, a passenger that is not wearing a seat belt may be pushed out of the windscreen.

According to Newtons laws of motion, a  body will continue in its state of rest or uniform motion unless it is acted upon by an external, unbalanced force.  This means that force is the reason why motion starts or uniform motion is changed.

If a car is suddenly applies its brakes, the uniform motion of the car is disturbed and there is a tendency for the motion to continue according to Newtons first law hence the passengers moves forward. This is the reason why wearing a seat belt is important. The seat belt protects the passengers from being pushed out of the windscreen.

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B. It has a high resistance and is an insulator.

Explanation:

To prevent charges from moving off of a charged metal sphere, it is best to use a material with a high resistance and is an insulator.

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Answer: it has a high resistance and is an insulator

Explanation:

Answer:

800s

Explanation:

Q=It

where,

Q=80c

I =100MA=0.1A

t=?

Q=It

800=0.1×t

t=80×0.1

t=800s

Answer:

800 secs

Explanation:

Q = it

80 = 100 x10^-3 t

t = 80/0.1

= 800secs

Answer:

The energy equivalent of an object with a mass of 4.1 kg is 3.7 ×[tex]10^{17}[/tex] J.

Explanation:

One of the significant findings of Einstein is the mass energy equivalence. According to this law, the energy is equivalent to the product of mass and square of velocity of light.

Thus, the equation became E = m[tex]c^{2}[/tex]

As here ,the mass is given as 4.1 kg and c is known as 3×[tex]10^{8}[/tex] m/s, then the energy equivalence of this object will be

E = 4.1 × 3 × 3 ×[tex]10^{16}[/tex] J = 4.1 × 9 × [tex]10^{16}[/tex]J = 36.9×[tex]10^{16}[/tex] J= 3.7 ×[tex]10^{17}[/tex] J.

Thus, the energy equivalence of object with mass of 4.1 kg is 3.7 ×[tex]10^{`17}[/tex] J.

Answer:

D

Explanation:

Complete Question: Suppose that a new “miracle pill” is on the market that will allow a person to function with only one hour of sleep each night. However, because a night’s sleep is so short, a person who takes the pill will never dream again. Knowing what you do about the functions of sleep and dreaming, what would be some advantages and drawbacks of such a pill from a personal standpoint? Would you take such a pill?

Answer:

If the miracle pills are available in the drug stores and approachable to anyone who wants to shorten their sleep time and eliminates dreaming during sleep certainly has some consequences upon them. The following are the advantages and disadvantages of those consequences.

Advantages of miracle pills:

Disadvantages of miracle pills:

My Opinion about miracle pills:

In my opinion, I will surely not be taking those pills which lessen my sleep artificially. As they have some major outfalls on person mental and physical health, I will not use miracle pills to shorten by sleep. Because taking a sufficient amount of sleep is necessary for a healthy body and a sound mind.

The time taken is 5.36 s

Explanation:

The motion of the child is a uniformly accelerated motion, therefore we can use the following suvat equation:

[tex]v=u+at[/tex]

where

a is the acceleration

u is the initial  velocity

v is the final velocity

t is the time

For the child in this problem, we have:

u = 0

v = 21.1 m/s

[tex]a=3.94 m/s^2[/tex]

Substituting and solving  for t,  we find the time taken:

[tex]t=\frac{v-u}{a}=\frac{21.1-0}{3.94}=5.36 s[/tex]

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Final answer:

Using the kinematic equation for uniformly accelerated motion, it takes the child approximately 5.36 seconds to sled down the hill from a starting speed of 0.0 m/s to a final speed of 21.1 m/s with an acceleration of 3.94 m/s^2.

Explanation:

To determine how long it takes for the child to sled down the hill, we can use the kinematic equation for uniformly accelerated motion, which is:

final velocity (v) = initial velocity (u) + acceleration (a) × time (t).

Given that the child's initial speed is 0.0 m/s, the final speed is 21.1 m/s, and the acceleration is 3.94 m/s2, we can rearrange the equation to solve for time (t):

time (t) = (final velocity - initial velocity) / acceleration

time (t) = (21.1 m/s - 0.0 m/s) / 3.94 m/s2 = 5.36 s

Therefore, it would take the child approximately 5.36 seconds to travel from the top of the hill to the bottom.

Answer:

1. Newton's first law

2.Newton's second law

3.Newton's third law

Explanation:

1. Newton's first law stated, In an inertial frame of reference, an object either remains at rest or continues to move at a constant velocity, unless acted upon by a force... this is base of the concept of inertia.

2. Newton's second law stated, In an inertial frame of reference, the vector sum of the forces F on an object is equal to the mass m of that object multiplied by the acceleration a of the object: F = ma, or in easier words, F is directly proportional to a.

3. Newton's third law stated, When one body exerts a force on a second body, the second body simultaneously exerts a force equal in magnitude and opposite in direction on the first body., In this case, the Normal Are opposite with gravititional force.

The question is about applying Newton's Three Laws in different scenarios.

The subject of this question is Physics and the grade level is High School. Let's analyze each statement to identify which of Newton's laws applies:

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Answer:

because when squeezing you are increasing pressure within the bottle and there is less pressure on the outside

Answer:

Because u r using force to push out the mustard in the bottle.

Explanation:

Answer:

D

Explanation:

(D) A temperature difference and the presence of electromagnetic waves.

In order for radiation to occur, there must be a difference in temperature for the thermal energy to be transferred, and there has to be electromagnetic waves.

Radiation = The transfer of thermal energy via electromagnetic waves

Since we know we need electromagnetic waves, only either option C or D could be correct.

Let's look at an example, such as the Sun and the Earth.

The sun is a star, a burning ball of gas. Because it is gas, it is less dense, and its temperature is way higher than the mainly solid and liquid Earth.

A: Heat from the sun (thermal energy from the sun) is being transferred to the Earth via radiation, and for thermal energy to transfer (or become heat), there has to be a difference in temperature.

+ In order for thermal energy to transfer in the first place, it has to become heat.

Heat ONLY transfers from warmer objects to cooler objects, meaning that there has to be a warmer object and a cooler object, or a "difference in temperature" in order for something like radiation to occur.

Answer:

B

Explanation:

edge 2020

One way to make a positive impact on air quality to reduce air pollution is using public transportation which will reduce air pollution.

Air quality index is used by government agencies to communicate to the public how polluted the air currently is or how polluted it is forecast to become.

Limited number of diesel cars can be used to improve air quality because there will be limited number of cars to cause air pollution.

Thus, one way to make a positive impact on air quality to reduce air pollution is using public transportation which will reduce air pollution.

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Answer:

B. Australia and Antarctica were a single landmass in the past.

Explanation:

Just trust me ; )

Answer:

MOMENTUM

Explanation:

another way of saying getting the smallest force possible is the word " MOMENTUM".

momentum is the ability to keep maintaining,incresing or itself developing to move at constant speed or to increase the speed.

Answer: B. 5

Explanation: the right of 0 on a horizontal number line is positive, and then to the left to 0, is negative. So, 3 units to the right is 3, and then 4 units to the left (3 - 4 = -1), then, 6 units to the right (-1 + 6 = 5).

Hope this helped. :)

The value of m = - 1.

Explanation:

An expression which contains two or more algebraic terms is called the polynomial. It is made up of two terms namely Poly and Nominal meaning many terms.

P(x) = 2x^3 - 3x^2 - mx - 6

x - 2 is one of the factor of the polynomial.

So x - 2 = 0

    x = 2

Substituting the value of x,

P(2) = 2(2)^3 - 3(2)^2 - m(2) - 6

       2(8) - 3(4) - m(2) - 6 = 0

       16 - 12 - 2m - 6 = 0

        - 2 - 2m = 0

           - 2m = 2

               m = - 1

To find how long it takes for a basketball to roll down a 3.5m incline at an angle of 80.6°, calculate the component of gravitational acceleration along the incline and use the kinematic equation for motion. The basketball takes approximately 0.85 seconds to roll down the incline.

The question deals with the motion of a basketball rolling down an incline. The key to solving this problem is to use the concepts of rotational motion together with Newton's laws of motion. Given the incline angle is 80.6° to the horizontal and the acceleration due to gravity is 9.81 m/s2, we can determine the component of gravitational acceleration that acts along the slope. This component is g sin(θ), with θ representing the angle, which causes the acceleration of the ball down the slope.

Since the basketball is a spherical shell it has a moment of inertia I = 2/3 m r2, where m is the mass and r is the radius of the sphere. However, without the mass of the basketball, we'll approach this by determining the translational acceleration a = g sin(θ), using the formula for the acceleration of an object down an incline. Knowing the distance (s = 3.5 m) it rolls without slipping, and starting from rest, we can use the kinematic equation s = 1/2 a t2 to solve for t, the time taken.

Calculating the acceleration component: a = 9.81 * sin(80.6°) = 9.67 m/s2. Then, we use the equation 3.5 = 1/2 * 9.67 * t2 to find t. Solving for t yields approximately 0.85 seconds.

Using rotational and translational motion principles, the basketball takes approximately 0.85 seconds to roll without slipping down the 80.6-degree incline.

To determine the time it takes for the basketball to roll without slipping down the incline, consider both rotational and translational motion.

Step 1: Calculate the effective radius of the basketball on the incline:

R_eff = (D/2) * sin(theta), given the diameter D of the basketball (47 cm) and the incline angle (theta) of 80.6 degrees.

Step 2: Calculate the linear acceleration down the incline:

a = g * sin(theta), given the acceleration due to gravity (g) as 9.81 m/s².

Step 3: Use the kinematic equation for linear motion to find the time (t):

t = sqrt(2h/a), given the height (h) the basketball descends down the incline is 3.5 m.

Step 4: Substitute the values into the equation and solve for t:

R_eff = (0.47/2) * sin(80.6 degrees) ≈ 0.235 m,

a = 9.81 * sin(80.6 degrees) ≈ 9.7 m/s²,

t = sqrt(2 * 3.5 / 9.7) ≈ sqrt(7 / 9.7) ≈ sqrt(0.7216) ≈ 0.85 s.

So, it will take approximately 0.85 seconds for the basketball to roll without slipping down the incline.

Compounds are created when atoms of different elements form chemical bonds. The chemical bond is a result of atoms sharing or exchanging electrons to fulfill the Octet Rule for stability. An example is water, where oxygen and hydrogen atoms bond together.

Compounds are created when atoms of different elements form chemical bonds. Chemical bonds are formed when atoms share, donate (lose), or accept (gain) electrons. This happens in order to fulfill the 'Octet Rule', which states that atoms are most stable when their outermost (valence) electron shell is full, typically with eight electrons except a few exceptions.

For example, in the formation of water (H2O), one oxygen atom forms a chemical bond with two hydrogen atoms. The oxygen atom achieves a stable electron configuration by sharing electrons with hydrogen atoms, which also reach a stable state.

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Compounds are created when atoms of different elements form chemical bonds during chemical reactions, leading to the formation of substances with unique properties.

Compounds are created when atoms of different elements form chemical bonds. Atoms combine to form molecules because they experience an attractive force that results in chemical bonds. There are various types of chemical bonds, such as polar covalent bond, hydrogen bond, non-polar covalent bond, and ionic bond. Chemical reactions facilitate the formation of compounds, where the initial substances reorganize their atomic arrangements, breaking existing bonds and forming new ones to create substances with unique properties.

A compound consists of atoms of two or more elements combined in a fixed, small whole-number ratio. For example, water consists of hydrogen and oxygen in a 2:1 ratio, represented by the empirical formula H2O, and table salt is made up of sodium and chlorine in a 1:1 ratio, represented by the empirical formula NaCl.

It is important to understand that compounds have their own unique chemical and physical properties—different from those of the elements that form them. The atoms in a compound are not created or destroyed during a chemical reaction, but are rearranged, resulting in a substance that is different from the original reactants.

The impulse on the car is -21,000 kg m/s

Explanation:

The impulse exerted on an object is the product between the force exerted on it and the time interval during which the force is applied:

[tex]I=F\Delta t[/tex]

where

I is the impulse

F is the force applied

[tex]\Delta t[/tex] is the time interval

For the car in this problem, we have

F = -15,000 N (the negative sign indicates that the direction of the force is opposite to the direction of motion)

[tex]\Delta t = 1.4 s[/tex] is the time interval

Therefore, the impulse on the car is

[tex]I=(-15000)(1.4)=-21,000 kg m/s[/tex]

And the negative sign indicates that the direction of the impulse is opposite to the direction of motion.

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Answer:

The answer you're looking for is B.

In polar view of the Milky Way, you can see the spiral arms and the dense collection of stars that make up core of the galaxy. The entire galaxy is rotating in a clockwise direction. As to classification, the Milky Way is a SBc barred spiral galaxy. And that red dot above the Orion Arm is the location of the Solar System.

Our solar system belongs to the Milky Way galaxy and the Milky Way galaxy is classified as a spiral galaxy. The correct option is B.

A galaxy is a vast, gravitationally bound system of stars, interstellar gas, dust, and dark matter. Galaxies can range in size from dwarf galaxies with just a few million stars to giant galaxies with hundreds of billions of stars.

Galaxies come in a variety of shapes and sizes, including spiral galaxies, elliptical galaxies, and irregular galaxies.

Spiral galaxies, such as our own Milky Way, have a flat, rotating disk with spiral arms and a central bulge.

Elliptical galaxies are more rounded and typically have fewer young stars and more old stars.

Irregular galaxies have irregular shapes and can be the result of interactions or mergers between galaxies.

Galaxies are the basic building blocks of the universe, and the study of galaxies and their properties is a fundamental part of astronomy and astrophysics. By studying the properties of galaxies, scientists can learn about the structure and evolution of the universe, as well as the nature of dark matter and dark energy.

Here in the question,

The Milky Way galaxy is a large, barred spiral galaxy that is estimated to contain between 100 and 400 billion stars, as well as a variety of other celestial objects. It is estimated to have a diameter of around 100,000 light-years and a thickness of around 1,000 light-years.

The Milky Way galaxy contains a number of distinct components, including a central bulge, a disk of gas and dust where most of the star formation occurs, and a halo that surrounds the galaxy and contains old stars and globular clusters. The galaxy also contains a number of smaller satellite galaxies, including the Large and Small Magellanic Clouds.

In addition to stars, the Milky Way contains a variety of other celestial objects, including planets, asteroids, comets, and interstellar gas and dust. It is also believed to contain a significant amount of dark matter, which is thought to make up approximately 85% of the total mass of the galaxy.

Therefore, The Milky Way galaxy is classified as a spiral galaxy.

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The nitrous oxide allows her car to develop 10,000 N of force. Sally's acceleration if her car has a mass of 500 kg are M=500kg, F=10000N, A=2000

Acceleration is the rate of change in velocity with response  to time, it is a vector quantity which is associated with both magnitude and direction.

It is the second derivative of position with response to time or it is the first derivative with respect to time; The SI unit of acceleration is represented as, m/s2.

Two types of Acceleration  can be observed such as Uniform and Non-uniform acceleration,  in a circle where speed remains constant but  the change in direction  followed by velocity changes, and the body is said to be accelerated.

The average acceleration is the total change in velocity in the given interval period of time means the total time taken for the change. For a given interval of time, it is represented as ā.

Instantaneous acceleration type is  referred to  the ratio of change in velocity in a given time interval such that the time interval goes to zero.

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Answer:

a.—269°C

b. —452.2°F

Explanation:Please see attachment for explanation

Final Answer:

a. The mass of stone 2 is 24 kg. b. The final velocity of stone 1 is 0.82 m/s to the north.

Explanation:

We can solve this problem using the principle of conservation of momentum and the principle of conservation of kinetic energy for elastic collisions.

1. Conservation of momentum:

  Before collision: [tex]\( m_1 v_{1i} + m_2 v_{2i} = m_1 v_{1f} + m_2 v_{2f} \)[/tex]

  After collision: [tex]\( m_1 v_{1f} + m_2 v_{2f} \)[/tex]

2. Conservation of kinetic energy:

  Before collision: [tex]\( \frac{1}{2} m_1 v_{1i}^2 + \frac{1}{2} m_2 v_{2i}^2 = \frac{1}{2} m_1 v_{1f}^2 + \frac{1}{2} m_2 v_{2f}^2 \)[/tex]

Using the given values and the fact that stone 2 was initially at rest [tex](\( v_{2i} = 0 \))[/tex], we can solve for the mass of stone 2 (part a) and the final velocity of stone 1 (part b).

a. Solving for the mass of stone 2:

  From the conservation of momentum equation, we have:

   [tex]\( m_1 v_{1i} = m_1 v_{1f} + m_2 v_{2f} \)[/tex]

  Substituting the given values and solving for [tex]\( m_2 \)[/tex], we find [tex]\( m_2 = 24 \, \text{kg} \)[/tex].

b. Solving for the final velocity of stone 1:

  From the conservation of kinetic energy equation, we have:

    [tex]\( \frac{1}{2} m_1 v_{1i}^2 = \frac{1}{2} m_1 v_{1f}^2 + \frac{1}{2} m_2 v_{2f}^2 \)[/tex]

  Substituting the given values and the calculated mass of stone 2, we can solve for [tex]\( v_{1f} \)[/tex], which is approximately [tex]\( 0.82 \, \text{m/s} \)[/tex].

Therefore, the mass of stone 2 is 24 kg and the final velocity of stone 1 is 0.82 m/s to the north.

The mass of stone 2 and the final velocity of stone 1, obtained using the law of conservation of momentum and the law of conservation of energy are;

Mass of stone 2, m₂ ≈ 53.56

The final velocity of stone 1, v₁' ≈ 0.81 m/s south

The steps used to find the above values are as follows;

The mass of stone 1, m₁ = 16 kg

Initial velocity of stone 1, v₁ = 1.5 m/s

Mass of stone 2, m₂; Required

The law of conservation of linear momentum indicates that we get;

m₁·v₂ + m₂·v₂ = m₁·v₁' + m₂·v₂'

The law of conservation of energy indicates that we get;

m₁·v₁²/2 + m₂·v₂²/2 = m₁·v'₁²/2 + m₂·v'₂²/2

Therefore;

16 × 1.5 = 16·v₁' + 0.69·m₂

24 = 16·v₁' + 0.69·m₂,,,(1)

16 × 1.5²/2 = 16 × v'₁²/2 + m₂·0.69²/2

18 = 8·v'₁² + 0.23805·m₂...(2)

Equation (1) indicates that we get;

v₁' = (24 - 0.69·m₂)/16

Therefore;

18 = 8·v'₁² + 0.23805·m₂

18 = 8·((24 - 0.69·m₂)/16)² + 0.23805·m₂

18 = -0.01488·m₂² + 0.79695·m₂ + 18

-0.01488·m₂² + 0.79695·m₂  = 0

0.79695/0.01488

m₂ = 0 and m₂ ≈ 53.56

v₁' = (24 - 0.69·m₂)/16, therefore;

v₁' = (24 - 0.69 × 54.)/16

(24 - 0.69 × 53.56)/16 ≈ -0.81

The final velocity of ball 1 is v₁² ≈ 0.81 m/s so the south

The complete question obtained from a similar question found through search is as follows;

Two curling stones collide on an ice ringk.Stone 1 has a mass of 16 kg and an initial velocity of 1.5 m/s to the north. Stone 2 was at rest initially. The stones collide dead center giving stone 2 a final velocity of 0.69 m/s to the north. Find the mass of stone 2 and the final velocity of stone 1