use the impulse-momentum theorem to find how long a stone falling straight down takes to increase its speed from 5.6 m/s to 12.0 m/s .

The wavelength of the yellow light produced by a sodium lamp post is 589 m. What frequency does this light have. (Response: 5.093 x 10'/Sec)

What wavelength of electromagnetic radiation does sodium emit at 589.0 nm?

It is assumed that the radiation's wavelength is 589 nm. Therefore, option C is appropriate because the frequency of irradiation is 5.09 1014 s1.

When sodium's surface is exposed to electromagnetic radiation with a wavelength of 300 nm?

Electrons with a kinetic energy of 1.68 105 Jmol1 are released from the surface of sodium when electromagnetic radiation with a wavelength of 300 nm falls on it.

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The magnitude of the acceleration of the car before the collision is  4.23[tex]\frac{m}{ (s ^ 2)}[/tex] and the magnitude of the average acceleration of the car during the collision is -16 [tex]\frac{m}{ (s ^ 2)}[/tex] and the magnitude of the average acceleration of the car during the entire test, from when the car first begins moving until the collision is over is 2.46[tex]\frac{m}{ (s ^ 2)}[/tex].

Velocity of car before collision is [tex]v_{1}[/tex] = 120km / h

Velocity of car after collision is, [tex]v_{2}[/tex] = 76.5km / h .

Time taken by a car before collision is, t =7.88:

Acceleration of car before collision is calculated as;

a = [tex]\frac{v-u}{t}[/tex]

a =[tex]\frac{120\times \frac{5}{18}-0 }{7.88}[/tex]

a = 4.23[tex]\frac{m}{ (s ^ 2)}[/tex]

Therefore magnitude of acceleration of a car before collision a = 4.23  [tex]\frac{m}{ (s ^ 2)}[/tex]

The average vehicle acceleration at the time of impact is computed as;

[tex]a_{avg}[/tex] = [tex]\frac{v-u}{t}[/tex]

[tex]a_{avg}[/tex] =[tex](120-76.5)\times \frac{5}{18}[/tex]

[tex]a_{avg}[/tex] =0.755 s

[tex]a_{avg}[/tex] =-16 [tex]\frac{m}{ (s ^ 2)}[/tex]

Here, a negative sign shows that the average acceleration is moving in the opposite direction from where the car is travelling.

[tex]a_{avg}[/tex] = [tex]\frac{v-u}{t}[/tex]

[tex]a_{avg}[/tex] =[tex]\frac{ (120-76.5)\times \frac{5}{18}}{0.755}[/tex]

[tex]a_{avg}[/tex] =-16[tex]\frac{m}{ (s ^ 2)}[/tex]

Here, the negative sign denotes that the average acceleration is occurring in the opposite direction to the motion of the car.

Therefore, the average acceleration of a car during collision is [tex]a_{avg}[/tex] =16 [tex]\frac{m}{ (s ^ 2)}[/tex]

and in direction opposite to the direction of car.

The average acceleration of the car during the test is calculated.

as,

[tex]a_{2}[/tex]=[tex]\frac{v-u}{t}[/tex] =[tex]76.5\times a_{2}[/tex]= [tex]\frac{76.5\times\frac{5}{18} }{7.88-0.75}[/tex]

[tex]a_{2}[/tex]=2.46[tex]\frac{m}{ (s ^ 2)}[/tex]

Therefore, the average acceleration of a car during entire test is a_{2} = 2.46[tex]\frac{m}{ (s ^ 2)}[/tex]

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If an elevator is moving at a constant speed, upward force will b greater than downward force.

Diagram B is the correct answer.

The forces acting on an elevator moving upwards at constant speed include the following:

Assuming the elevator is moving in a vertical direction and is subject to no external forces, the net force on the elevator would be zero.

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As just a unit for one unit, both scales are connected. A change of one unit on the Kelvin scale corresponds to a change of one degree on the Celsius scale. The following equation relates the Kelvin scale to the Celsius scale: K Equals 0C - 273.15.

Water's freezing point is 0 degrees Celsius, or centigrade, and its boiling point is 100 degrees Celsius. Swedish Swedish scientist Anders Celsius created the Celsius scale in 1742; due to the 100-degree gap between the designated points, it is sometimes referred to as the centigrade scale.

As the acknowledged father of Swedish astronomy, Anders Celsius is most known for developing the Celsius temperature scale, often known as the centigrade scale, on which the boiling point of water is expressed as 100°C and the freezing point as 0°C.

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A "resistor" is a two-terminal passive electronic current that is employed to limit or control the flow of electric in electrical circuits. Therefore, in the below given way, the value of resistance can be calculated.

A "resistor" is a two-terminal passive electronic current that is employed to limit or control the flow of electric in electrical circuits. It also allows us to provide a variable amount of resistance to an electrical system. Resistors are the most significant and widely utilized components in an electrical circuit.

Electrons cannot pass through insulators, but they may through conductors.  Through the following way resistance can be determined.

turn on the circuit

examine both of the ammeter and the voltmeter

To alter the current, modify the variable resistor.

Take new ammeter and voltmeter values and build a voltage-current graph using the equation: voltage current = resistance

Therefore, in the above given way, the value of resistance can be calculated.

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The average velocity for the time period beginning when t = 2s and lasting 0.5s is 39.625ft/s, 0.1s is 15.6ft/s, 0.05s is 14.8ft/s, 0.01s is 16ft/s

Given the initial velocity of the ball (u) = 50ft/s

The motion is given as: [tex]y = 50t - 16t^2[/tex] where y is the height of the ball.

We can see that it is similar to [tex]y = ut + 1/2at^2[/tex] such that 1/2a = 16 then a = 32m/s2

The initial time when the ball is thrown in air (t1) = 2s

The total distance a particle has travelled divided by the total amount of time it has taken to travel that distance is the definition of an object's average velocity. So, let the height h1 be covered in t1s and h2 be covered in t2s such that average velocity (v) = h2-h1/t2-t2

(a) Initially, t1 = 2s and t2 = 2+0.5s = 2.5s where [tex]y = 50t - 16t^2[/tex]

Then h1 = 50 x 2 - 16 x 2x2 = 36ft

h2 = 50 x 2.5 - 16 x (2.5)x2.5 = 115.25

V = 115.25 - 36/2.5-2 = 79.25/2 = 39.625ft/s

(b) Let t2 = 0.1 + 2 = 2.1s then,

h2 = 50 x 2.1 - 16 x (2.1)x2.1 = 34.44ft

V = 34.44 - 36/0.1 = -1.56/0.1 = -15.6ft/s

(c) Let t2 = 0.05 + 2 = 2.05s then,

h2 =  50 x 2.05 - 16 x (2.05)x2.05 = 35.26ft

V = 35.26 - 36/ 0.05 = -0.74/0.05 = -14.8ft/s

(d) Let t2 = 0.01 + 2 = 2.01s then,

h2 =  50 x 2.01 - 16 x (2.01)x2.01 = 35.84ft

V = 35.84 - 36/ 0.01 = -0.16 /0.01 = -16ft/s

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The correct option is D, the force of Earth's gravity on a spacecraft 2.00 Earth radii above the Earth's surface is 2610 N.

The force of Earth's gravity on a spacecraft can be calculated using the equation F = G * (m1 * m2) / r^2, Earth's surface is approximately 2 * 6,371,000 m = 12,742,000 m). Plugging in the values, we get:

F = 6.67 x 10^-11 Nm^2/kg^2 * (5.97 x 10^24 kg * 1700 kg) / (12,742,000 m)^2

F = 2610 N

Force is a term used in physics to describe the influence that causes an object to undergo a change in motion. It is a vector quantity, meaning it has both magnitude and direction. Force can cause an object to move, change its speed, or change its direction. It can also cause a stationary object to start moving. There are several types of forces, including gravitational forces, electrical forces, magnetic forces, and friction forces. Force can also be described as a push or a pull.

Force is an essential concept in physics as it helps us understand the behavior of objects and how they interact with each other. For example, the force of gravity keeps planets in orbit around the sun. The force of friction is what allows us to walk on the ground without slipping. The force of air resistance affects the motion of projectiles and affects the speed of vehicles.

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True, object decelerate then its instant velocity  is oriented antiparallel with the direction of motion.

velocity is a term that describes the speed and direction of a point's motion For example, a circular paths' direction is always perpendicular to a line from the point to the circle's centre. A point always moves in a direction that is tangent to its path (a radius). The speed at which the point is travelling along its route in time is known as the magnitude of the velocity. If a point travels a specific distance along its path in a predetermined amount of time, its average speed throughout that time is equal to the travelled distance divided by the travel time.

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The frequency of oscillation is given by the formula: f = 1 / T, where T is the period of the oscillation. The maximum speed of the block is 100 cm/s. The maximum speed occurs at the points of maximum displacement. The maximum acceleration is 1000 cm/s². The maximum acceleration occurs at the points of maximum velocity.

a) The frequency of oscillation is given by the formula: f = 1 / T, where T is the period of the oscillation. The period is the time it takes for the block to complete one cycle of its motion. The period is related to the angular frequency (w) by the formula: T = 2 x pi / w. In this case, the angular frequency is 10 rad/s, so the period is T = 2 x pi / 10 = 0.6283s. The frequency is then: f = 1 / T = 1 / 0.6283 = 1.5915 Hz.

b) The maximum speed of the block is given by the formula: v max = A  w, where A is the amplitude of the oscillation and w is the angular frequency. In this case, the amplitude is 10 cm, so the maximum speed is: v max = 10 x 10 = 100 cm/s.

c) The maximum speed occurs at the points of maximum displacement, which are at x = +/- A, where A is the amplitude. In this case, x = +/- 10 cm, so the maximum speed occurs at x = +/- 10 cm.

d) The maximum acceleration is given by the formula: a max = w x A. In this case, a max = 1000 cm/s².

e) The maximum acceleration occurs at the points of maximum velocity, which are at A where A is the amplitude. In this case, x = +/- 10 / sqrt(2) = +/- 7.07 cm, so the maximum acceleration occurs at x = +/- 7.07 cm.

f) The force required to produce the given oscillation is given by Hooke's law: F = - k x x, where k is the spring constant and x is the displacement of the block from its equilibrium position. Since the displacement of the block is given by x = (10 cm) cos[(10 rad/s)t + pi/2], we cannot determine the force without knowing the value of the spring constant, k.

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If you know the position function of an object, you may quickly get its velocity function via taking its derivative.

The direction and speed of an object's motion are its velocity. In other terms, velocity is the rate at which an object's position changes. Position includes direction by indicating whether an object is traveling backwards or forwards down a line, sidewards upward and downward in the two or three dimensions, or in any combination of these directions.

If an object's velocity is changing, it is accelerating. As a type of vector, velocity has both direction and magnitude. As a result, any acceleration can be explained these three methods an East to North-East direction shift.

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Treiber Gases These include ozone, gas, nitrous oxide, and water vapour. Earth would be a frozen wasteland without greenhouse gases.

Since the atmosphere is largely transparent to sunlight, sunshine is also the source of heat on Earth. However, the term "greenhouse effect" is a little misleading because the gravity the Earth as well as its atmosphere function to maintain heat is different from how a greenhouse operates.

Because of the greenhouse effect, fertile land is destroyed due to soil erosion. Soil erosion brought on by the greenhouse effect lowers crop output. The greenhouse effect causes temperature to rise, which causes global warming. Climate change.

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As long as the force and time are the same, all vehicles experience the same change in momentum, regardless of their mass.

Given the time interval force applied on cart = 2s

The mass of cart in trail 1 = m

The mass of cart in trail 2 = 3m

The mass of cart in trail 3 = 5m

From Newtons laws of motion: F = ma where F is the force applied and a is the acceleration and v = v0 + at where v0 is the initial velocity.

So, v = v0 + (F/m)t

We know that momentum is defined as mass x velocity such that:

p = mv then the change in momentum is seen as: Δp = mv - mv0

Δp = m(v0 + Ft/m) - mv0

Δp = Ft

Since the force and time are the same for all vehicles, we can see that the change in momentum is independent of the mass of the vehicles.

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complete question: A student conducts an experiment in which a cart is pulled by a variable applied force during a 2sec time interval. In trial 1, the student exerts the force on a cart of mass M. In trial 2, the student exerts the force on a cart of mass 3M. In trial 3, the student exerts the force on a cart of 5M. In which trial will the cart experience the greatest change in momentum from 0 sec to 2 sec?

His maximum speed is 25 ft/sec, and the time duration of the acceleration is 0.8 Sec.

Let, maximum speed is V and acceleration is a (See Picture).

Total time given = 4 secs.

Total time = Time required to accelerate(t) + Time at constant maximum speed(T)

Total time = (t+T)

T+t = 4_______________(1)

Given,

Total distance (D) = 90 ft.

We know,

[tex]V^{2} = 2as[/tex]

⇒ [tex]s = \frac{V^{2} }{2a}[/tex]

Given, s = displacement = 10 ft

⇒ [tex]\frac{V^{2} }{2a} = 10[/tex] ___________________(2)

Now We know,

Speed = final distance / Time at constant maximum speed(T)

⇒ [tex]V=\frac{D-s}{T}[/tex]

⇒ [tex]V = \frac{90-10}{4-t}[/tex]______________[By (1)]

⇒ [tex](4-t) V= 80[/tex]_______________(3)

Also, We know,

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

But, here u (initial velocity) = 0

∵ [tex]V=at[/tex] ____________________(4)

Now, solving (2), (3) and (4) we get,

[tex](4-t)V+\frac{V^{2} }{2a} = 90[/tex]_______[Adding (2) & (3)]

⇒ [tex]4V-\frac{V^{2} }{a} + \frac{V^{2} }{2a} =90[/tex]________[By (4)]

⇒ [tex]4V-\frac{V^{2} }{2a} =90[/tex]

⇒ [tex]4V-10=90[/tex]_______[By (2)]

⇒ [tex]4V= 100[/tex]

⇒ [tex]V = 25[/tex] ft/sec.

putting the value of V in (2)

We get,

[tex]10=\frac{625}{2a}[/tex]

⇒ [tex]a = \frac{625}{20}[/tex]

⇒ [tex]a = 31.25 ft/sec^{2}[/tex]

Now, putting the values of V and a in (4)

We get,

[tex]t=\frac{V}{a}[/tex]

⇒ [tex]t=\frac{25}{31.25}[/tex]

⇒ [tex]t=0.8 sec[/tex]

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In part b of the drawing, the bucket of water is being pulled up from the well at a constant velocity. In this situation, the tension in the rope must provide the force necessary to balance the weight of the bucket and any friction forces.

The force required to lift the bucket is equal to the weight of the bucket plus the force of friction. If the tension in the rope is less than the force required to lift the bucket, the bucket will not move. If the tension in the rope is greater than the force required to lift the bucket, the bucket will accelerate upward.

Since the bucket is being lifted at a constant velocity, this means that the tension in the rope must equal the force required to lift the bucket. Therefore, the tension in the rope in part b of the drawing is equal to the weight of the bucket plus the force of friction. If this value is not given, it cannot be determined without additional information.

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The combination of analysis models that correctly describes one of the spheres in this situation and will be most useful for solving the problem depends on the specific details and requirements of the problem at hand.

Some commonly used models for analyzing charged spheres include the electric field generated by a point charge, Coulomb's law, and the method of images. The choice of the most appropriate model will depend on the specific conditions and requirements of the problem, such as the distribution of charge on the spheres and the distance between them. Charge is a fundamental property of matter that refers to the amount of electrical energy in a system. It is measured in units of Coulombs and can be positive, negative or neutral. Charge can interact with other charges through the electric force, which is described by Coulomb's Law. This interaction can result in a number of phenomena, including attraction, repulsion, and the transfer of electrical energy from one object to another. Understanding charge and its interactions is crucial for many fields, including physics, engineering, and chemistry, and has many practical applications, such as in electronics, power generation and storage, and in medical imaging technologies

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A) The circumference of the track is equal to the distance traveled by the runner in one lap, or C=vt, where v is the velocity and t is the time. So the radius of the track is approximately 70.11 m.

B) The centripetal acceleration is the acceleration towards the center of the circle. So the runner's centripetal acceleration during the run was approximately 0.25 m/s^2.

Centripetal acceleration is a type of acceleration that acts in a direction that is towards the center of a circular path. It is defined as the rate of change of the velocity vector of an object moving in a circular path. The magnitude of centripetal acceleration is given by the equation a = v^2/r, where v is the velocity of the object and r is the radius of the circular path.

Centripetal acceleration is responsible for keeping an object moving in a circular path. Without centripetal acceleration, the object would fly off in a straight line clue to its tangential velocity. For example, when a cor takes o tum, the friction between the tires and the road generates a centripetal force that pulls the car towards the center of the turn, creating centripetal acceleration.

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Correct option is B, The solar spectrum consists of hundreds of dark absorption lines superimposed on a bright continuous spectrum that peaks in the yellow, near the center of the visible region.

In addition, our Sun generates light in the ultraviolet, X-ray, and even gamma-ray ranges. The majority of the Sun's radiation, however, is found in the infrared, visible, and ultraviolet portions of the electromagnetic spectrum.

The electromagnetic spectrum is made up of radio waves, microwaves, infrared radiation, visible light, ultraviolet radiation, X-rays, gamma rays, and cosmic rays, in decreasing order of frequency and increasing order of wavelength.

The term for the collection of all electromagnetic radiation in the cosmos is the electromagnetic spectrum, or EM spectrum. In the form of electric and magnetic waves, this kind of energy permeates the cosmos and enables the transmission of information and energy.

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Complete question -

Which of the following statements about the visible spectrum of the light emitted by the Sun is true?

A. It consists of hundreds of bright emission lines that cluster near the middle of the visible region.

B. It consists of hundreds of dark absorption lines superimposed on a bright continuous spectrum that peaks in the yellow, near the center of the visible region.

C. It consists of a few dark absorption lines on a continuous spectrum that is otherwise independent of wavelength.

D. It consists of a few bright lines widely separated from each other, mostly in the yellow portion of the visible range.

E. It consists of a smooth blackbody curve corresponding to a temperature of 6300 K, with no other prominent absorption or emission features.

The magnitude of vector A is determined as 3.52 m.

The value of vector A is calculated by applying the principle of vector addition.

R² = A²  + B²

where;

The resultant vector is given as 2 times vector A.

( 2A)² = A² + ( 6.1 )²

4A² = A² + 37.21

3A² = 37.21

A² = 37.21 / 3

A² = 12.4

A = √ ( 12.4 )

A = 3.52 m

Thus, the value of vector is determined from vector addition of A and B.

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Because his weight is distributed evenly over both scales, the reading on each scale should be 400 N. This is the first option.

Weight, symbolized as W, is a type of force whose acceleration is defined as the acceleration due to gravity. This is why weight is also called the force of gravity (Fg). Weight is not the same as mass. Weight is force, but mass is the measure of the inertia of a body.

The equation for weight is W = mg, where W is weight, m is mass, and g is acceleration due to gravity.

When the man stands, at rest, on two bathroom scales, his weight is then distributed evenly over the scales. This causes the reading on each scale to be half his actual weight.

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The temperature of oxygen gas is 501.40 K.

The rate at which a body's displacement changes in relation to time is known as its velocity. Velocity is a vector quantity with both magnitude and direction. SI unit of velocity is meter/second.

The effective rms velocity of oxygen is = 625 m/s.

Molecular oxygen M = 32g/mol

Now, effective rms velocity = √(3RT/M)

Hence, we can write that the temperature of oxygen gas is

T = v²M/(3R)

= (625² × 32) ÷ (3 × 8.31 × 10³)

= 501.40 K

Hence, the temperature of that gas is 501.40 K.

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The things that could be true about the object A should that it could be either positive or negative in charge.

Every object having mass has some charge on it, here, the object B is negatively charged and the object A is the attracted by the object B when they are brought close to each other.

By the standard rules, we know, that the opposite charges attract each other, on the other hand a neutral object is always attracted by other charges objects irrespective of the their charge.

So, as it is stated that object B is negatively charged, it is obvious that the object A will be either positive or neutral in nature in terms of charge.

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The diffraction of visible light around an obstruction the size of your hand is completely inconsequential since the wavelength of visible light is incredibly small in compared to the proportions of your hand.

Wavelength is the distance represented by the length of one cycle of a wave. The wavelength symbol is, and the SI unit for wavelength is the metre (m).

Here are a few examples of wavelengths: The Yellow Light illustration is suitable. All visible light has a wavelength that ranges from 400 to 700 nanometers (nm). The wavelength of yellow light is around 570.nanometers. (nm) Wavelength (nm) (nm).

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When the sound source is moving towards the stationary listener at one-half the speed of sound, the frequency heard by the listener will be 1.40 kHz.

When the source is stationary and the listener moves towards the source at one-half the speed of sound, the frequency heard by the listener will be 1.80 kHz. This is because the Doppler effect causes the frequency of a sound wave to increase as the source moves towards the listener and decrease as the source moves away from the listener.

Frequency is a measure of how often a wave or signal repeats itself over a given period of time. Frequency is usually measured in hertz (Hz), which means the number of cycles per second. Frequency is an important concept in physics, as it is used to describe waveforms such as sound, light, and radio signals.

Frequency is also used to describe the properties of an object or system, such as its resonant frequency.

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The diameter of the stream below the opening of the faucet is 1.94 cm.

The diameter of the stream can be found using the formula for the velocity of steady flow in a cylindrical stream:

v = Q / (πr²)

Where Q is the volume flow rate (volume per time), v is the velocity, and r is the radius of the stream.

By rearranging this equation and using the known values of the volume and time, find the radius of the stream 13.0 cm below the opening of the faucet:

r² = Q / (πv) = (125 cm³) / (π x (13.0 cm)² / 4)

r = √(125 / (π x (13.0 cm)² / 4)) = 0.97 cm

2r = 2 x 0.97cm = 1.94 cm

So the diameter of the stream 13.0 cm below the opening of the faucet would be 1.94 cm.

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The first question has an answer: twice the voltage across a constant resistance circuit quadruples the power lost by that circuit (Option B). Sorry, but I require additional network information to solve for the ultimate potential difference across capacitor X in the second question.

Voltage is a quantitative measure of the potential difference in charge between two places in an electrical field. It is also known as electromotive force. Voltage is the force exerted by the power source of an electrical circuit to move charged electrons (current) through a conducting loop, allowing them to do work such as lighting a lamp. Voltage refers to the "pressure" exerted by electricity. Voltage is measured in units known as volts (V), and greater voltages cause more electricity to flow to an electrical equipment.

Here,

The answer to the first question is that doubling the voltage across a constant resistance circuit doubles the power wasted by that circuit fourfold (Option B). Sorry, but I need more information about the network to solve for the ultimate potential difference across capacitor X in the second question.

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A satellite that orbits the Earth spends half of its time crossing the northern hemisphere and half of its time crossing the southern hemisphere.

A satellite in this type of orbit is said to have a "drift orbit." This type of orbit is useful for satellites that need to cover a large portion of the Earth's surface for applications such as remote sensing, weather observation, and communication.

The orbit of the satellite is carefully designed such that it crosses the equator at a specific angle, which allows it to spend equal amounts of time over both hemispheres. The altitude of the orbit, the speed of the satellite, and the inclination angle are all important factors that determine the exact shape of the satellite's path around the Earth.

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The laplace transform of u(t) for cos3wt, then [tex]y(t) = (1/6) [e^(3it) + e^(-3it)]u(t).[/tex]

Let Y(s) represent y's Laplace transform (t).

Since [tex]y(t) = u(t)cos3wt[/tex], we can write:

[tex]Y(s) = U(s) * [s/(s^2 + 9)][/tex]

Using the magnitude and phase formula discussed in class, we can express y(t) as:

[tex]y(t) = (1/6) [e^(3it) + e^(-3it)]u(t)[/tex]

The Laplace transform is a mathematical transformation used to solve differential equations. It takes a function of time, f(t), and transforms it into a function of a complex variable, F(s), which is known as the Laplace transform of f(t). This transform is useful for analyzing linear, time-invariant systems, and is used in many engineering fields to solve differential equations, such as in electrical, mechanical and control engineering.

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The efficiency of the pulley system is 60%. This means that 60% of the input energy was transformed into useful work, while the remaining 40% was lost as heat or in other forms of energy transfer.

The efficiency of a system is a measure of how effectively it transforms energy from one form to another and is an important consideration in many engineering applications.

The efficiency of a pulley system can be calculated by dividing the amount of useful work done by the total energy input. In this case, the useful work done is 3000 joules, and the total energy input is 5000 joules. The efficiency is calculated as follows:

Efficiency = (Work done) / (Total energy)

= 3000 Joules / 5000 Joules

= 0.6

= 60%

Therefore, efficiency of a pulley is 60%

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Answer:

Impulse = Δp = 2.45 kg m/s

Explanation:

Impulse = change in momentum = final momentum - initial momentum

The initial momentum of the ball before hitting the ground is given by:

m * v_i = 0.14 kg * -9 m/s = -1.26 kg m/s

The final momentum of the ball after bouncing back is given by:

m * v_f = 0.14 kg * 8.5 m/s = 1.19 kg m/s

So the change in momentum is:

Δp = v_f - v_i = 1.19 kg m/s - (-1.26 kg m/s) = 2.45 kg m/s

Impulse = Δp = 2.45 kg m/s