suppose we are in the middle of a slowly melting block of ice. as we add a little more thermal energy, what happens to the temperature of the ice?

The velocity of the motorist when he/she reaches the deer is calculated to be 9.96 m/s.

Speed of the motorist is given as 12 m/s.

The maximum acceleration is given as -6 m/s².

Distance = 39 m

Let x be the distance traveled by motorist in his/her reaction time.

Remaining 39-x will be travelled with -6 m/s².

Let us find x with the known values,

s = 39 - x

v = 0

u = 12 m/s

v² - u² = 2 a s

0 - 12² = 2 (-6) (39-x)

-144 = -12 (39-x)

(39-x) = 12

39 - 12 = x

x = 27 m

So, the motorist travelled 27 m in his/her reaction time.

12 t = 27

t = 2.25 s

b) If the reaction time is 3.56 s,

Then distance traveled in his reaction time,

x₀ = 12 × 3.56 = 42.72 m

Remaining distance = 39 - 42.72 = -3.72 m

Motorist is ahead by 3.72m.

Its velocity when it reaches the deer,

v² - u² = 2 a s

v² - 12² = 2 (-6) (3.72)

v² = 144 - 44.62

v² = 99.36

v = 9.96 m/s

The given question is incomplete. The complete question is 'A motorist traveling at 12 m/s encounters a deer in the road 39 m ahead. If the maximum acceleration the vehicle’s brakes are capable of is −6 m/s², what is the maximum reaction time of the motorist that will allow her or him to avoid hitting the deer? Answer in units of s. 015 (part 2 of 2) 10.0 points If his or her reaction time is 3.56429 s, how fast will (s) he be traveling when (s)he reaches the deer? Answer in units of m/s.'

To know more about speed:

https://brainly.com/question/13292377

#SPJ4

False. The unit used to measure the energy contained in natural gas is typically joules or cubic meters (m^3) of natural gas. The term "therm" is sometimes used as a unit of energy, but it is more commonly used to describe the amount of energy contained in 100,000 British thermal units (BTUs). In the United States, the therm is sometimes used to describe the amount of energy contained in 100 cubic feet of natural gas.

Force in each cord for equilibrium is T_A = 42.2 N, T_B = 20.0 N, T_C = 10.0 N, T_D = 6.7 N, and T_E = 5.0 N.

The force in each cord supporting a 30-kg pipe, we can apply the principles of static equilibrium. Static equilibrium occurs when the net force and net torque on an object are both zero.

In this case, the pipe is being supported by five cords. Let's label the cords A, B, C, D, and E. Since the pipe is not accelerating, the net force on the pipe must be zero. This means that the total upward force provided by the cords must balance the downward force of the weight of the pipe.

To calculate the force in each cord, we can use the principle of the conservation of momentum. Assuming the pipe is stationary, we know that the momentum of the system is constant, and we can apply the principle of moments to determine the tension in each cord. We can take moments about point A, where cord A is attached.

Let T_A, T_B, T_C, T_D, and T_E be the tension forces in cords A, B, C, D, and E, respectively. By taking moments about point A, we have:

T_B * 3 + T_C * 6 + T_D * 9 + T_E * 12 = 30 * g * 3

where g : acceleration due to gravity. Since the pipe is in equilibrium, the sum of the tension forces in the cords must also be equal to the weight of the pipe, or:

T_A + T_B + T_C + T_D + T_E = 30 * g

We now have two equations and two unknowns, T_A and T_B. Solving these equations simultaneously, we obtain:

T_A = 42.2 N

T_B = 20.0 N

T_C = 10.0 N

T_D = 6.7 N

T_E = 5.0 N

Learn more about force here:

https://brainly.com/question/30683294

#SPJ4

The expression for dividing distance by speed using floating point arithmetic is float(distance) / (speed).

Arithmetic is the branch of mathematics that deals with the study of numbers, operations such as addition, subtraction, multiplication and division, and the properties of these operations. It is a fundamental component of mathematics, and it is essential for solving problems in everyday life. Arithmetic is used to calculate the cost of goods, to figure out measurements, to estimate taxes, and to perform many other calculations. Arithmetic is an important part of higher-level mathematics, such as calculus, and is often used to solve complex problems.

This expression produces a fractional result by using the float() function, which calculates a floating point value from the given argument (in this case, the integer value of distance). To apply this expression to different variables, simply replace distance and speed with the other variables (e.g. float(children) / (families)).

To learn more about arithmetic
https://brainly.com/question/77702
#SPJ1

Answer:

Explanation:

The gravitational force between two objects can be calculated using the formula:

F = G * (m1 * m2) / r^2

Where F is the gravitational force, G is the gravitational constant (6.67 x 10^-11 Nm^2/kg^2), m1 is the mass of one object (60 kg), m2 is the mass of the other object (5.67 x 10^26 kg), and r is the distance between the two objects (the radius of Saturn, 6.3 x 10^7 m).

F = 6.67 x 10^-11 * (60 * 5.67 x 10^26) / (6.3 x 10^7)^2

F = 6.67 x 10^-11 * 3.402 x 10^33 / 3.969 x 10^14

F = 2.30 x 10^19 N

So the gravitational force on a 60 kg man on Saturn would be approximately 2.30 x 10^19 N.

Theoretical centre to centre distance will be 3.25 inch or 82.55 mm and Gear tooth = 35.

Circular pitch will remain same

P_c = [tex]\pi[/tex]D_p / Tp =  [tex]\pi[/tex]D_G / T_G

D_p / Tp =  D_G / T_G

T_G = D_G x T_p / D_p = 4.375  / 2.125 x 17

T_G = 35

Center-To-Center distance = pitch circle radius of prism + pitch circle radius of gear

= D_p / 2 +D_G / 2

= 1/2 (2.125 + 4.375)

= 3.25 inch

= 3.25 x 25.4 mm

= 82.55mm

Distance is a measure of the amount of space between two points. It is a fundamental concept in physics and geometry, and is used to describe the length or magnitude of a displacement, movement, or separation. Distance can be measured in different units, such as meters, kilometers, miles, or light years, depending on the scale and context of the measurement.

Distance is a relative concept, as it depends on the reference point or frame of reference. It is also influenced by factors such as time, direction, and velocity, which affect the actual distance traveled or the perceived distance. Thus, distance is a versatile and dynamic concept that plays a crucial role in various fields of knowledge and application.

To learn more about Distance visit here:

brainly.com/question/13034462

#SPJ4

Your perceived weight is equal to the normal force. Therefore, when the elevator accelerates upward or downward, you truly feel a little heavier than usual and a little lighter than usual.

(a) The normal force on you is larger than your weight when the elevator is moving down and coming to a stop. This is because the normal force is the force that the floor exerts on you in order to prevent you from falling downwards, and the acceleration of the elevator is greater than the acceleration of gravity.

(b) The normal force on you is equal to your weight when the elevator is moving up and coming to a stop. This is because the acceleration of the elevator and the acceleration of gravity are the same, so the normal force is equal to the force of gravity.

(c) The normal force on you is larger than your weight when the elevator is moving up and speeding up. This is because the acceleration of the elevator is greater than the acceleration of gravity, so the normal force is greater than the force of gravity.

(d) The normal force on you is equal to your weight when the elevator is moving down at constant speed. This is because the acceleration of the elevator is equal to the acceleration of gravity, so the normal force is equal to the force of gravity.

To learn more about normal force click here https://brainly.com/question/13340671

#SPJ4

The values of electron mobility (µn) and hole mobility (µp) are 400 cm2/V·s and 150 cm2/V·s, respectively, the electrical conductivity can be calculated using formula: σ = ne(µn + µp)

Where σ is the electrical conductivity in units of S/m (siemens per meter), n is the charge carrier density in units of m-3, and e is the elementary charge in units of coulombs.

Converting  given mobilities to SI units, we have:

µn = 4.0 × 10-3 m2/V·s

µp = 1.5 × 10-3 m2/V·s

T = 490 K

Substituting values :

σ = ne(µn + µp)

= (1019 cm-3) × (1 m/100 cm)3 × (1.6 × 10-19 C) × (4.0 × 10-3 m2/V·s + 1.5 × 10-3 m2/V·s)

= 6.496 S/m

To know more about Electrical conductivity, here

https://brainly.com/question/29765686

#SPJ4

The statement that is correct about the scenario is

C) From the moment of release to the moment it hits the ground, the system's total mechanical energy, which just contains the block, grows.

D) The block-Earth system's overall mechanical energy stays constant.

It also goes by the name ramp. Objects placed on an inclined plane will slide down the surface with acceleration due to the uneven force acting on it.

Think of a ball rolling at an angle on an inclined surface without friction. Such a ball will be affected by the gravitational force and the normal force, two independent forces.

Therefore, the correct options are C and D.

To learn more about the inclined plane, refer to the link:

https://brainly.com/question/29629164

#SPJ9

The opposite side of earth will experience one on the side facing the Moon (high tide) and the other on the opposite side of the Earth (low tide).

If the side of the Earth that faces the Moon experiences a tidal bulge, it is due to the gravitational pull of the Moon on the water on the surface of the Earth. This gravitational pull causes the water to bulge out on the side of the Earth facing the Moon, resulting in a high tide. On the opposite side of the Earth, however, the gravitational pull of the Moon is weaker because it is farther away. As a result, the water on this side of the Earth is not pulled as strongly by the Moon's gravity and is left with a lower gravitational potential energy. This results in a second bulge, which is caused by the centrifugal force of the Earth's rotation. So, the opposite side of the Earth will also experience a tidal bulge, but it will be a low tide because the water is being pulled away from the Earth due to the weaker gravitational pull of the Moon. Therefore, there are two tidal bulges on the Earth, one on the side facing the Moon (high tide) and the other on the opposite side of the Earth (low tide). The areas in between these two bulges experience moderate tides. These tidal bulges and their movements are responsible for the daily tidal patterns that we observe on Earth.

To know more about Earth please refer: https://brainly.com/question/367736?referrer

#SPJ4

The displacement of the train to the west is 478 km.

To find the displacement to the west, we need to use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the straight-line distance from the starting point to the ending point) is equal to the sum of the squares of the lengths of the other two sides.

Let's call the displacement to the west "x". Then, the displacement to the south is 42 km, and the total displacement (the distance traveled by the train) is 478 km. Using the Pythagorean theorem, we can write the following equation:

x^2 + 42^2 = 478^2

Expanding the squares:

x^2 + 42^2 = 478^2

x^2 + 1764 = 229284

x^2 = 227620

x = 478 km

Learn more about displacement here: https://brainly.com/question/2109763

#SPJ1

An example of electrical energy being transformed into thermal energy is an iron plugged into an outlet. The correct option is B.

The type of energy that is existing in a group that finds its temperature is mentioned to as thermal energy. Thermal energy flows as heat. Energies always transfer from one form to another form when some work done.

When iron is plugged in, it gets electrical energy and the energy gets converted into thermal energy and iron gives heat.

Therefore, the correct option is B. an iron plugged into an outlet.

To learn more about thermal energy, refer to the link:

https://brainly.com/question/3022807

#SPJ9

Oscillation is the regular back and forth motion of a periodic wave, while propagation is the process of transferring a signal from one point to another. Oscillation and propagation are important concepts in physics and engineering, as they are used to understand, model, and control the behavior of various physical systems. Oscillation and propagation are also used to understand and manipulate the behavior of light, sound, and other forms of energy.

The work performed by Zorg between t = 0 and t = T is equal to the product of the constant coefficient b^3 and the time interval T.

The work performed by Zorg can be calculated as the integral of power with respect to time. If Zorg's power output is given by P = b^3, then the work performed by Zorg between time t = 0 and t = T can be calculated as:

W = ∫_0^T P(t) dt = ∫_0^T b^3 dt = b^3 * t |_0^T = b^3 * T

So, the work performed by Zorg between t = 0 and t = T is equal to the product of the constant coefficient b^3 and the time interval T.

learn more about work done: https://brainly.com/question/25573309

#SPJ1

The net force on each car is zero, and both cars will continue to move at their constant speeds without any acceleration or change in direction.

According to Newton's third law of motion, every action has an equal and opposite reaction.

Let's calculate the magnitude of the force exerted by car A on car B and vice versa:

The force (F) is given by the formula:

[tex]F = m * a[/tex]

where m is the mass of the car and a is the acceleration it experiences.

When the two cars pass each other, the acceleration of each car is zero because their speeds are constant. Therefore, the net force on each car is zero, and the force exerted by car A on car B is equal in magnitude and opposite in direction to the force exerted by car B on car A.

The force exerted by car A on car B is:

[tex]F_{AB} = m_A * a_A[/tex]

where [tex]m_A = 500 kg[/tex] and [tex]a_A = 0 m/s^2[/tex] (constant speed)

[tex]F_{AB} = 500 kg * 0 m/s^2 = 0 N[/tex]

Similarly, the force exerted by car B on car A is:

[tex]F_{BA} = m_B *a_B[/tex]

where [tex]m_B = 800 kg[/tex] and [tex]a_B = 0 m/s^2[/tex] (constant speed)

[tex]F_{BA} = 800 kg * 0 m/s^2 = 0 N[/tex]

As we can see, both forces are zero. Therefore, the net force on each car is zero, and both cars will continue to move at their constant speeds without any acceleration or change in direction.

Learn more about acceleration :

https://brainly.com/question/12550364

#SPJ4

Final velocity - Velocity displacement

       Δv            a

2)    -12 m/s        -3 m/s2

3)     5 m/s        2.5 m/s2

What is the final and initial velocity?

1. Final velocity is the speed at which an object is moving at the end of its motion.

2. Initial velocity is the speed at which an object is moving at the beginning of its motion.

3. Final velocity can be determined by subtracting the initial velocity from the total displacement of the object.

4. Initial velocity can be determined by subtracting the total displacement of the object from the final velocity.

2) 0-12 = -12/4 = -3

3) 8-3 = 5/2 = 2.5

4) 46.4-27.3 = 19.1/11 = 1.73

5) 5-15 = -10/5 = -2

Therefore, the above one is the answer for this chart.

To learn more about final and initial velocity from the link

brainly.com/question/9365999

#SPJ1

It would take one electron approximately 271 million years to travel the full length of the transmission line, assuming a steady current of 1000 A and a copper conductor with a free charge density of 8.5 x 10^28 electrons per cubic meter.

This is due to the fact that the drift velocity of electrons in a conductor is very slow, typically on the order of millimeters per second, even though the current itself may be flowing at much higher speeds.

[tex]v_d = I / (nAq)[/tex]

We can rearrange this equation to solve for the time it takes for an electron to travel a distance d:

[tex]t = d / v_d = (dqA) / I[/tex]

[tex]t = (200 km * 1000 m/km * 8.5 x 10^28 electrons/m^3 * (π(0.01 m)^2/4) * 1.6 x 10^-19 C/electron) / (1000 A)[/tex]

[tex]t = 8.53 x 10^15 seconds[/tex]

This is equivalent to approximately 271 million years.

To know more about Transmission line, here

https://brainly.com/question/14902531

#SPJ4

As the length of the string attached to the pendulum increases, its frequency decreases. Hence, the frequency of shorter string will be higher. The frequency of the string is 0.13 Hz and the length of pendulum is 16 m.

Frequency of an oscillation is the number of wave cycles per unit time. It is the inverse of time period. As the length of the pendulum increases, the frequency of oscillation decreases. Therefore, the shorter pendulum will have greater frequency.

Given time period of pendulum = 8 s.

then length of pendulum L = T²/4π² g.

l = 8²/4×π² × 9.8 m/s² = 16 m.

Frequency of the oscillation is the inverse of its time period. Hence, the frequency of the pendulum for a time period of 8 Hz is :

1/8 = 0.13 Hz.

Therefore, option a is correct.

Find more on frequency:

https://brainly.com/question/14926605

#SPJ1

Answer:

Explanation:

The vapor pressure of a sugar solution is dependent on several factors:

Concentration of the solution: The concentration of the sugar solution affects its vapor pressure. As the concentration of the solution increases, the vapor pressure also increases. This is because there are more solute particles in the solution, which can escape into the air as vapor.

Temperature: The vapor pressure of a solution is also affected by temperature. As the temperature of the solution increases, the vapor pressure increases, which can result in more solute particles escaping into the air as vapor.

Nature of the solute: The nature of the solute also affects the vapor pressure of a solution. Different solutes have different vapor pressures, and the vapor pressure of a solution depends on the vapor pressure of the solute itself.

Nature of the solvent: The nature of the solvent also affects the vapor pressure of a solution. Different solvents have different vapor pressures, and the vapor pressure of a solution depends on the vapor pressure of the solvent itself.

In general, the vapor pressure of a sugar solution is dependent on the concentration of the solution, the temperature of the solution, the nature of the solute, and the nature of the solvent. Understanding the relationship between these factors can help to predict the vapor pressure of a sugar solution and understand how it changes under different conditions.

The complex dance of gravity between celestial objects is what gives rise to the structures we see in the universe, from planets orbiting stars to galaxies forming clusters.

Gravity is the force that governs the movement of celestial bodies in the universe, including planets around the sun, stars grouped in galaxies, and galaxies grouped in clusters.

For example, the gravity of the sun keeps the planets in orbit around it. The planets are constantly pulled towards the sun by gravity, but they are also moving tangentially to the sun at high speeds. The combination of these two forces creates a balanced system, where the gravitational pull of the sun keeps the planets in their orbits around it.

Similarly, the gravity between stars in galaxies and galaxies in clusters acts as a binding force, keeping them together despite the vast distances between them.

To know more about the gravity, here

brainly.com/question/21454806

#SPJ4

The direction and intensity of the electric field close to the charged particles would be indicated by the electric field lines.

It has been determined that a charged particle is one that possesses an electric charge. The atom at the atomic level is made up of a nucleus that the electrons orbit. The proton charge, which is 1.602 1019 Coulombs, is what gives the nucleus its positive charge because it is made up of neutrons and protons.

The ability to conduct electricity is a characteristic of many fundamental, or subatomic, components of matter. As an illustration, protons and neutrons both have positive charges but electrons have a negative charge.

To know more about charged particles visit:-

https://brainly.com/question/18750504

#SPJ1

To calculate the final change in the system's internal energy, we need to consider the work done by the external force and the work done by friction.

The work done by the external force can be calculated using the formula:

W_ext = F_ext * d

Where W_ext is the work done by the external force, F_ext is the external force, and d is the distance traveled by the block.

Since the block comes to a complete stop, the work done by the external force is equal to the work done by friction, which can be calculated using the formula:

W_friction = F_friction * d = μ_k * m * g * d

Where W_friction is the work done by friction, F_friction is the frictional force, μ_k is the coefficient of kinetic friction, m is the mass of the block, g is the acceleration due to gravity, and d is the distance traveled by the block.

W_ext = ΔK. Where ΔK is the change in the kinetic energy of the block, which can be calculated using the formula: ΔK = (1/2) * m * v_f^2 - (1/2) * m * v_i^2. Where v_f is the final velocity of the block, and v_i is the initial velocity of the block. Since the block comes to a complete stop, the final velocity of the block is 0 m/s. Therefore, we can simplify the equation for ΔK:

ΔK = (1/2) * m * v_i^2. Substituting the values given in the problem statement, we get: ΔK = (1/2) * 1.6 kg * (2.4 m/s)^2 = 6.912 J

Now, we can equate the work done by the external force and the work done by friction:

W_ext = W_friction

ΔK = μ_k * m * g * d

Solving for d, we get:

d = ΔK / (μ_k * m * g) = 6.912 J / (0.03 * 1.6 kg * 9.81 m/s^2) ≈ 14.05 m

The work done by friction can be calculated as:W_friction = μ_k * m * g * d ≈ 6.912 J. Therefore, the final change in the system's internal energy is ΔU = -W_friction = -6.912 J. The negative sign indicates that the internal energy of the system has decreased as a result of the work done by friction.

To learn more about external force, visit here

https://brainly.com/question/16186958

#SPJ4

The force that magnets use to either attract or repel one another is known as magnetism. Electric charges in motion are what generate magnetism.

The smallest building blocks of matter are called atoms. There are electrons in every atom, which are charged particles. The electrons that make up an atom's nucleus, or core, spin like tops.

The magnetism of most things is cancelled out by the equal amounts of electrons that spin in opposing directions. Because of this, substances like fabric and paper are referred to as weakly magnetic.

Most electrons in materials like iron, cobalt, and nickel spin in the same direction. The atoms in these become this way.

Therefore, The force that magnets use to either attract or repel one another is known as magnetism. Electric charges in motion are what generate magnetism.

To learn more about Magnetism, refer to the link:

https://brainly.com/question/2841288

#SPJ9

Answer:

Explanation:

Angular velocity is measured in angle per unit time or radians per second (rad/s). The rate of change of angular displacement is angular velocity.

Displacement in such motion is in the form of angle and hence known as angular displacement.

...

\theta = wt + 1/2 \alpha t^{2}

\theta the angular displacement of the object

s distance covered by the object on the circular path

r the radius of curvature of the given path

\omega initial angular velocity

t time

Answer:

Explanation:

Q=278*126.85*900=31,737,870J

The detailed answer of this question is given below:

The furnace is an  internal                  combustion engine.

A furnace is typically considered an internal combustion engine, although it operates differently than many other types of internal combustion engines.

In a furnace, fuel is burned within a combustion chamber, which generates heat that is then used to heat air or water, depending on the type of furnace. This combustion process is similar to that of internal combustion engines, in which fuel is burned inside a combustion chamber to generate heat and power.

However, unlike many internal combustion engines, a furnace does not typically use pistons, cylinders, or other similar components to convert heat into mechanical energy. Instead, the heat generated by the combustion process is typically used directly, either to heat air or water or to provide heat for other processes.

To know more about Combustion Engine visit:

https://brainly.com/question/16579482

#SPJ4

The velocity of the target ball after the collision is 2.4 m/sec.

We can use the conservation of momentum and the conservation of kinetic energy to solve this problem.

Let's define the following variables:

m1 = mass of incoming softball = 0.220 kg

u1 = initial velocity of incoming softball = 5.5 m/s

v1 = final velocity of incoming softball after collision = -3.1 m/s

m2 = mass of target ball

v2 = final velocity of target ball after collision

By the conservation of momentum, we have:

[tex]m_1 u_1 + 0 = m_1 v_1 + m_2 v_2[/tex]

Simplifying this equation, we get:

[tex]m_2 v_2 = m_1 * (u_1 - v_1)[/tex]

[tex]m_2 v_2 = 0.220 * (5.5 - (-3.9))[/tex]

[tex]m_2 v_2 = 0.220 * (5.5 +3.9))[/tex]

[tex]m_2 v_2 = 0.220 * (9.4)[/tex]

[tex]m_2 v_2 = 2.068[/tex] ..... eq(i)

The approach velocity is equal to the separation velocity, therefore,

[tex]u_1 - u_2 = v_2 -v_1[/tex]

[tex]5.5 = v_2 -(-3.1)[/tex]

[tex]5.5 = v_2 +3.1[/tex]

v2 = 2.4

Now, eq(i) becomes,

m2 * 2.4 = 2.068

m2 = 0.862

Read more about Collision:

https://brainly.com/question/13004146

#SPJ4

To find the time it will take to travel a certain distance at a certain speed, you can use the formula:

time = distance/speed

In this case, the distance is 90km and the speed is 30km/m.

So, time = 90km / 30km/m = 3m

Answer:

It will take 3 hours to get to the island 90km from the coast in a boat that travels 30km/m.

Answer:

The value of Time Will be

[tex]9minutes[/tex]

Explanation:

Greetings!!!

Distance (s)= 90km

Speed(V)= 30km/m

Time(t)= ?

But before that how did I know Time is required

So, from the given word problem it says "How long will it take" which means it's indicating the time period.

Firstly, recall speed-distance equation

Substitute known variables into the equation

Solve for time

divide both sides of the equation by 30km/m

[tex] \frac{30km/m(t)}{30km/m} = \frac{90km}{30km/m} [/tex]

divide

[tex]t = 3m[/tex]

If you have any questions tag me on comments.

Hope it helps!!!

All of the tubes in the load must have an opposite mate in the rotor holder in order for the centrifuge to be balanced. Option C is correct.

Different laboratories employ centrifuges to separate fluids, gases, or liquids based on density. Centrifuges are frequently employed for the purification of cells, organelles, viruses, proteins, and nucleic acids in both research and clinical facilities.

The division of whole blood components using a centrifuge is an example of its utilisation in a clinical environment. Various tests call for serum or plasma, which can be obtained using centrifugation.

By allowing a full blood sample to coagulate at room temperature, serum may be extracted. After centrifuging the sample, the clot is eliminated, leaving a serum supernatant.

In contrast to serum, plasma is made from whole blood that has not been allowed to clot and contains both serum and clotting agents. A full blood sample is drawn into anticoagulant-treated tubes in order to extract plasma.

Learn more about Centrifuge here:

https://brainly.com/question/17065689

#SPJ4

(a) The initial position of the stone is at the edge of the cliff, so the x-coordinate is 0 and the y-coordinate is the height of the cliff, h = 50.0 m.

(b) The stone is thrown horizontally, so the initial velocity in the x-direction, vx, is 18.0 m/s and the initial velocity in the y-direction, vy, is 0 m/s.

(c) The appropriate analysis model for the vertical motion of the stone is projectile motion under constant acceleration due to gravity.

(d) The appropriate analysis model for the horizontal motion of the stone is uniform motion with constant velocity.

(e) The equations for the x and y components of the velocity of the stone as a function of time can be written as: vx = 18.0 m/s (constant)

vy = -gt (where g is the acceleration due to gravity, and t is time)

(f) The equations for the position of the stone as a function of time can be written as: x = vx t, y = h + vy t - 1/2 g t^2

(g) The stone strikes the water below the cliff after about 3.19 seconds.

(h) The stone lands with a speed of about 30.0 m/s and an angle of impact of about 26.5 degrees below the horizontal.

(g) To find the time it takes for the stone to strike the water below the cliff, we need to find the time at which y = 0.

Substituting y = 0 and h = 50.0 m into the equation for y, we get:

0 = 50.0 m - 1/2 g t^2

t = sqrt(2h/g)

= [tex]\sqrt{(2*50.0 m/9.81 m/s^2)[/tex] ≈ 3.19 s

(h) To find the speed and angle of impact,

we need to find the final velocity of the stone just before it hits the water.

The final velocity can be found using the equation:

v^2 = vx^2 + vy^2 + 2gy

Substituting the values we know, we get:

[tex]v^2 = (18.0 m/s)^2 + (-9.81 m/s^2)(3.19 s)^2 + 2(9.81 m/s^2)(50.0 m)[/tex]

v ≈ 30.0 m/s

The angle of impact can be found using the equation:

tan(theta) = vy/vx

Substituting the values we know, we get:

[tex]theta = tan^-1(vy/vx) = tan^-1\frac{(\frac{(-9.81 m/s^2)}{(3.19 s)}}{18.0} m/s)[/tex]

≈ -26.5 degrees

For more questions on Angle of Impact

https://brainly.com/question/12262372

#SPJ4