a hiker walks with an average speed of 1.5 m/s. what distance in kilometers does the hiker travel in a time of 1.7 hours?

Answer:

i) The focal length of the lens is 11.1 cm. ii) The radius of curvature of the lens surface is 55.6 cm.

Explanation:

Given: refractive index of glass = 1.5, object distance u = -10 cm, image distance v = 100 cm (since the image is virtual and ten times the size of the object), and the thickness of the lens t is small.

i) To find the focal length f, we can use the lens formula:

1/f = 1/v - 1/u

Substituting the given values, we get:

1/f = 1/100 - 1/-101/f = 0.01 + 0.11/f = 0.11f = 1/0.11f = 9.09 cm

However, this is the focal length of the lens surface. Since the lens is thin, we can assume that the thickness is negligible compared to the focal length.

Therefore, the focal length of the lens is approximately equal to the focal length of the lens surface, which is 9.09 cm.

The focal length of the thin plano-convex lens is -11.1 cm and the radius of curvature of the lens surface is 55.6 cm. These values are obtained by applying the lens-maker formula and considering the given conditions.

In this question, a thin plano-convex lens made of glass with a refractive index of 1.5 is described. An object is placed 10 cm from this lens and a virtual image ten times the size of the object is formed. We are required to find the focal length of the lens and the radius of curvature of the lens surface.

Using the lens-maker formula, 1/f = (n-1)(1/R1 - 1/R2 ), and considering the object distance (u) as -10 cm (the negative sign is due to the convention for virtual images), and the image distance (v) as -100 cm (ten times the object size), we find that the focal length (f) of the lens is -11.1 cm.

Next, applying the lens-maker formula again, but this time for the radius of curvature (R) of the lens surface. Since one surface of the lens is plane (R1 = ∞), the radius of curvature is that of the convex side (R2), we obtain R = 55.6 cm.

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The ball's maximum height during its trajectory is 22.05 meters.

Maximum range (dx) is obtained at an angle of 45°. The most horizontal distance is covered at an angle of 45 degrees or nearly there. The greatest possible height will be attained and the longest duration spent in the air when the angle is 90 degrees or higher.

The formula for determining the greatest height, ymax, is: vy 2 = vy(0)2 + 2 ay (y - y(0)). To get ymax = vy(0)2/ 2g, substitute into y(t) = vy(0) t - 12 g t2. The beginning velocity in the y-direction and the maximum height are used to calculate the maximum height.

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Actress Cindy williams stars in Shirley Feeney on the television sitcom Laverne & Shirley.

Cynthia Jane Williams (August 22, 1947 - January 25, 2023) was an American entertainer and maker, referred to for her job as Shirley Feeney on the TV sitcoms Cheerful Days (1975-1979), and Laverne and Shirley (1976-1982). She likewise showed up in American Spray painting (1973) and The Discussion (1974).

After school, Williams started her expert vocation via landing public ads, which included Encourage Award shades and TWA. Her most memorable jobs in TV, among others, were on Room 222 Babysitter and the Teacher, and Love, American Style.

Williams went with an entertainer companion from Los Angeles City School who required a scene accomplice for the tryout and was likewise acknowledged at The Entertainers Studio West, yet seldom went to because of acting commitments. Williams got significant film jobs right off the bat in her vocation: George Cukor's Movements with My Auntie (1972); as Laurie Henderson, Ron Howard's personality's secondary school darling in George Lucas' American Spray painting (1973) for which she procured a BAFTA designation as Best Supporting Actress; and Francis Portage Coppola's The Discussion (1974). She tried out alongside large number of others, for Lucas' Star Battles for the job of Princess Leia, yet Leia was eventually played via Carrie Fisher since Lucas wished to project questions, as in American Graffiti.

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The horizontal velocity of the drone while it was falling was approximately 19.8 m/s.

Assuming no air resistance or drag, the horizontal velocity of the drone remains constant during the fall. The time it takes for the drone to fall 80 m vertically can be calculated using the formula:

[tex]h = (1/2) * g * t^2[/tex]

where h is the height, g is the acceleration due to gravity, and t is the time. Solving for t, we get:

[tex]t = sqrt(2h/g) = sqrt(2*80/9.8) = 4.04 seconds (approximately)[/tex]

During this time, the horizontal distance traveled by the drone is 80 m.

Therefore, the horizontal velocity of the drone while falling can be calculated as follows:

[tex]v = d/t = 80/4.04 = 19.8 m/s (approximately)[/tex]

So, the horizontal velocity of the drone while it was falling was approximately 19.8 m/s.

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The electrical capability strength of a 1.zero-C price at factor (zero, 4.zero m) is 7.sixty five x 10^6 J. 

To locate the electrical capability strength of a 1.zero-C price at factor (zero, 4.zero m), we will use the formulation: U = k * q1 * q2 / r

First, we want to locate the electrical capability at factor (zero, 4.zero m) because of the 2 expenses. The electric powered capability at a factor because of a factor price is given by: V = k * q / r

The electric powered capability at factor (zero, 4.zero m) because of the 5.zero-nC price is: V1 = k * q1 / r1

=[tex](nine x 10^nine Nm^2/C^2) * (5.zero x 10^-nine C) / (4.zero m)[/tex]

= 1.a hundred twenty five x 10^7 V

The distance among the 5.zero-nC price and the factor (zero, 4.zero m) is: r1 = [tex]\sqrt{(zero^2 + 4.zero^2) = 4.zero m}[/tex]

The electric powered capability at factor (zero, 4.zero m) because of the -2.zero-nC price is: V2 = k * q2 / r2

= [tex](9 x 10^9 Nm^2/C^2) * (-2.zero x 10^-9 C) / (5.zero m)[/tex]

= -3.6 x 10^6 V

The distance among the -2.zero-nC price and the factor (zero, 4.zero m) is: r2 = sqrt((3.zero m - zero)^2 + 4.zero^2) = 5.zero m

The overall electric powered capability at factor (zero, 4.zero m) is:

V = V1 + V2

= 1.a hundred twenty five x 10^7 V - 3.6 x 10^6 V

= 7.sixty five x 10^6 V

Now we will use the formulation for electric powered capability strength to locate the strength of a 1.zero-C price at factor (zero, 4.zero m) because of the 2 expenses: U = q * V

= (1.zero C) * (7.sixty five x 10^6 V)

= 7.sixty five x 10^6 J

Therefore, the electrical capability strength of a 1.zero-C price at factor (zero, 4.zero m) is 7.sixty five x 10^6 J. 

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The voltage across the wire is 1332 V.

Voltage is a measure of electrical potential difference between two points in a circuit. It is a measure of the amount of electrical energy available to do work. Voltage is measured in volts (V). The voltage between two points is the difference in electrical potential between those two points. Voltage is the force pushing electrons through a circuit and is responsible for the current that flows in a circuit. The higher the voltage, the greater the current. Voltage is created when charge is stored in a capacitor or a battery.

The voltage across the wire is determined by Ohm's law, In this case, the resistance of the wire is given by R = L/A, where L is the length of the wire (20 cm) and A is the cross-sectional area of the wire (0.6 mm^2). Therefore, the resistance of the wire is 33.3 Ω.

The current is given by I = Q/t, where Q is the charge (4 cells) and t is the time (0.1 s). Therefore, the current is 40 A.

Using Ohm's law, we can calculate the voltage across the wire: V = IR = (40 A)(33.3 Ω) = 1332 V.

Therefore, the voltage across the wire is 1332 V.

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The vehicle accelerates steadily around 3 m/s2 for 15 sec while moving at 20 m/s. This indicates that when the car accelerates, it will cover a total length of 75 metres.

An item that follows a circular course while maintaining a constant speed is still moving forward because the source of its motion is shifting.

Additionally, it is either the first variant of velocity in relation to time or the second derivative for position in relation to time.

The time frame that can be measured or quantified.

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Cadence braking is employed in automobiles without ABS to stop them on slick surfaces.  The ABS is working to keep the car from locking up and keeping you from skidding when you feel feedback.

Remove your foot from the brake pedal to allow your wheels to maybe gain enough traction to momentarily unlock. Afterward, if necessary, apply brake pressure once more.

Without ABS, sudden, harsh braking could result in wheel lockup and loss of steering control if the driver didn't pump the brakes properly or kept the force of the brake pedal under control. When driving on an icy or wet road, it entails rhythmically applying and releasing the brakes gently to avoid the wheels from locking up while still allowing you to manoeuvre.

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Correct Question:

Why Do My Brakes Lock Up When Trying to Stop?

The repulsive electrical force  between protons is: [tex]F = 9.279 \times 10^{-8} \,{\rm{N}}[/tex]

The repulsive electrical force between two protons 3.5 * 10-15 m apart from each other in an atomic nucleus is calculated by Coulomb's law, which states that the force between two charged particles is directly proportional to the product of the charges and inversely proportional to the square of the distance between them.

So, the repulsive force between two protons 3.5 * 10-15 m apart is given by:

[tex]F = (1.602 \times 10^{-19})^2 / (3.5 \times 10^{-15})^2[/tex]

[tex]F = 9.279 \times 10^{-8} \,{\rm{N}}[/tex]

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P.E  -1.57 × 10¹¹J is the gravitational potential energy.

Give the definition of gravitational potential energy

The energy that an object acquires as a result of its height or vertical position is known as gravitational potential energy. When we elevate items against Earth's gravity, the energy is held back by the gravitational force.

The energy that an item has or acquires when its location changes as a result of being in a gravitational field is known as gravitational potential energy. Gravitational potential energy can be defined as an energy that has a connection to gravitational force or gravity.

P.E  = -GMm/r

m  = 5000kg

r   =  9.9 × 10⁶ m

G  = 6.67 × 10⁻¹¹

M  = 5.18 × 10²⁴

P.E  = -(6.67 × 10⁻¹¹ *5.18 × 10²⁴ × 5000) / ( 9.9 × 10⁶ + 6.38 × 10⁶)

P.E  = -1.57 × 10¹¹J

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A wave is a disturbance in a medium. The speed of a wave can be calculated by the formula: V = λf.

A wave is a propagating dynamic disturbance of one or more quantities such as sound and light. Waves can be periodic, in which case those quantities oscillate repeatedly about an equilibrium value at some frequency.

V = λf

where, V is the velocity of wave,

λ is the wavelength,

f is the frequency.

1. Time period = 0.25 second

Frequency of a wave = 1/T

F = 1/ 0.25

F = 4 sec⁻¹

2. Speed of the wave with frequency 5.0 Hz and wavelength 10cm

v = λf

v = 10 × 5.0

v = 50 cm/s

3. Frequency of a wave with speed 20cm/s and wavelength 10cm

v =  λf

f =  λ/v

f = 10/20

f = 1/2 or 0.5 Hz

4. Wavelength of a wave when frequency is 5.0 Hz and speed 30 cm/s

v = λf

λ = v/f

λ = 30/5

λ = 6cm

5. Speed of a wave when the period is 3 sec and wavelength is 20m

Period = 1/f

3 = 1/f

f = 1/3

v = λf

v = 20 × 1/3

v = 6.66m/s

6. Wavelength of the wave when frequency is 75 Hz and speed is 300m/s

v = λf

λ = v/f

λ = 300/ 75

λ = 4m

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The value of constant acceleration (a2) is 3.6m/s2 when a particle moves at constant acceleration a through displacement d2 = 300 m from point B to point C.

Given the constant acceleration of a particle (a1) = 2.2m/s2

The displacement of particle from point A to B on x axis is (d) = 500m

The next displacement of particle from point B to C (d2) = 300m

The total time taken (t) =60s

Let the acceleration from point B to C = a2

Initially the particle is at rest so u = 0m/s

The time to travel from point A to B = t1

We know that from Newtons laws of motion s = ut + 1/2at2 such that:

d1 = ut1 + 1/2a1t12

500 = 0 + 1/2 x 2.2 x t^2

t = √1000/2.2 = 21.31s

The final velocity at point B = v

v = u + a1t1

v = 2.2 x 21.31 = 46.88m/s

The final velocity at point B becomes initial velocity to travel from B to C.

The remaining time (t2) = 60 - 21.31 = 38.69s

The final velocity at point C = 0m/s

so, v^2 = u^2 + 2xa2xd2

-46.88 x 46.88 = 2 x a2 x 300

a2 = -3.6m/s^2

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If the universe initially contains equal amounts of all four elements, and the elements are then allowed to perform natural motions according to the principles discovered above, the final structure of the universe will be determined by the relative strengths of the forces acting on each element.

The stronger forces will cause the elements to move in certain directions and create patterns in the universe. For example, the forces of gravity, electrostatic forces, and magnetic forces will cause the Earth and Water elements to form planets, while the Air and Fire elements will form galaxies and stars. The final structure of the universe will depend on the balance of these forces and the motion of the elements.

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A 5 cm focal length converging lens is 30 cm away from the item being observed. The image is real but it is inverted.

Light is directed to a location at the focal spot or axis of a convergent lens. a lens that creates a true image by converting parallel light beams to convergent light rays. The image is actual and inverted as longer as the thing is not within the focal point.

Since the rays concentrate after passing through the convex lens, convex lenses are indeed known as converging lenses. Since the rays disperse after striking the concave lens, curvy lenses are also known as converging lenses.

u = Object distance

= 30 cm

v = Image distance

f = Focal length

= 5 cm

Lens Equation,

1/f = 1/u + 1/v

1/f - 1/u = 1/v

1/v = 1/5 - 1/30

1/v = 1/6

v = 6cm

m = -v/u

m = -6/30

m = -0.2

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Answer:

Explanation:

cap

The work done is 43200 joules.

Work is defined as the distance traveled in the direction of the force in the product of the forces. In physics, work is energy transferred to or from an object by applying a force along a displacement. In its simplest form, work done with a constant force in the direction of motion is equal to the product of the force and the distance traveled. Work is the product of the displacement and the force component in the direction of displacement. When you do work, the kinetic energy of an object changes. In this task the force is given as 180 N to move the car he 240 m.

Work = 180 N x 240 m = 43200 J

In this case, the 1260 kg mass of the car is not needed. 

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Answer:

Yes, I agree with the statement that gas particles do not respond to heat the same way people do. The reason for this is that gas particles do not have the same sensory mechanisms that people have to perceive heat.

When a person is exposed to heat, their sensory nerves respond by sending signals to the brain, which then triggers a response such as sweating, increased heart rate, or a feeling of discomfort. However, gas particles do not have nerves or brains, so they cannot respond to heat in the same way.

Instead, gas particles respond to heat by increasing their kinetic energy and moving faster. This causes the gas to expand and occupy more space. For example, if a gas is heated in a container with a fixed volume, the pressure inside the container will increase as the gas particles collide more frequently with the container walls.

Additionally, unlike people, gas particles do not have a specific temperature range in which they are comfortable or safe. They will continue to gain kinetic energy and expand as long as they are exposed to heat, without any limit to their response.

In summary, gas particles and people respond to heat in fundamentally different ways due to differences in their physical and biological properties.

Cellular respiration is an example of an energy-releasing process, which releases the energy in sugars. Photosynthesis is an example of an energy-requiring reaction, which consumes energy from the sun to make sugars.

Sunlight, carbon dioxide, and water are necessary as the first reactants in photosynthesis. When photosynthesis is finished, it releases oxygen and creates molecules of carbohydrates, most frequently glucose. The energy required for survival is contained in these sugar molecules.

Energy is needed for every chemical reaction in which tiny molecules are converted into larger ones. The molecules must be connected using ATP energy. Examples include converting amino acids into protein and carbohydrates into glycogen.

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By adding a dielectric, the capacitance rises and the energy in the capacitor decreases.

The strength of the electric field is reduced as a result of the presence of dielectric. If the overall charge on the capacitor plates is kept constant, the potential difference across the plates will decrease. The dielectric increases the capacitor's capacitance as a result. When a capacitor is given a dielectric, the electric field is diminished, the voltage is lowered, and the capacitance is increased.

You must perform negative work in order to decrease the potential energy stored in the capacitor since adding a dielectric will increase capacitance C and reduce that potential energy.

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If the thermal bulb assembly develops a leak, The bulb pressure will reduce and the valve will close.

A thermostatic expansion valve (TXV) is a refrigeration and air conditioning throttling device which controls the amount of refrigerant liquid injected into a system's evaporator. It based on the evaporator outlet temperature and pressure which being called the superheat.

When a thermostatic expansion valve’s thermal bulb assembly develops a leak, the bulb pressure will decrease, and the valve will close. The pin or valve port piston of the electronic step-motor expansion valve could move a linear motion of 0.0783 inches/step.

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Charge q at a distance of 2.7 m away from the point charge is approximately [tex]-9.9 * 10^(-7) C[/tex]. We calculated this using Coulomb's law.

The electric potential (voltage) at a point a distance r away from a point charge q is given by the Coulomb's law:

[tex]V = k * q / r[/tex],

where k : Coulomb's constant ([tex]9 * 10^9 N*m^{2} /C^{2}[/tex]). In this case, we know that the voltage V is [tex]-3.5 * 10^3 V[/tex] and the distance r is 2.7 m. Therefore, we can write:

-[tex]3.5 * 10^3 V = (9 * 10^9 N*m^{2} /C^{2} ) * q / 2.7 m[/tex]

Solving for q:

q = [tex](-3.5 * 10^3 V) * (2.7 m) / (9 * 10^9 N*m^{2} /C^{2} ) = -9.9 * 10^(-7) C[/tex]

The negative sign indicates that the charge is negative, which means that it has an excess of electrons. This result shows that electric potential is directly proportional to the magnitude of the charge and inversely proportional to the distance from the charge.

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The resistance of a cylindrical conductor is determined by the equation R = (ρL)/A, where ρ is the resistivity of the material, L is the length, and A is the area of the cylindrical conductor.

When the length is quadrupled and the radius is cut in half, the resistance of the cylindrical conductor is 4 ohms.

The resistance of a cylindrical conductor can also be affected by the resistivity of the material it is made of. The resistivity of a material is a measure of how easily electricity can flow through it, and is determined by its chemical structure.

Generally, materials with higher resistivity will have a higher resistance, so the resistance of a cylindrical conductor may be increased if it is made from a material with a higher resistivity.

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The final temperature of the system is  63.33° C.

A body or thermodynamic system can release or absorb latent heat during a constant-temperature process, often a first-order phase transition.

Latent heat is energy that is provided or removed in a concealed form to alter the state of a substance without altering its temperature.

The applied heat = 6.0 × 10⁵ Joule

Mass of the ice = 1 kg

Latent heat of ice fusion = 334 kJ/kg

Hence,

334000 × 1 + 1 × 4200× (t - 0) =  6.0 × 10⁵

4200 × t = 266000

t = 63.33° C

Hence, the final temperature of the system is  63.33° C.

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Wave speed - the distance the wave travels in a given amount of time

Frequency - number of events per unit of time

Period - time it takes to complete one oscillation

For Transverse Waves:

For longitudinal Waves:

The required capacitance when voltage and charge of a capacitor are specified is calculated to be 0.2 F.

The expression for potential, charge and capacitance is known as,

Q = C V

where,

Q is charge

C is capacitance

V is voltage

The value of initial voltage is given as, V = 30 v

The value of initial charge is given as, Q = 6 c

Entering the values into the above equation, we have,

Q = C V

Making 'C' as subject, we have,

C = Q/V = 6/30 = 0.2 F

Thus, the required capacitance is calculated to be 0.2 F.

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Answer:

the answer is 200seconds(s)

Places, where particles of the medium spread farther apart, are called compressions.

Mechanical waves are classified as longitudinal waves and transverse waves. Some examples of longitudinal waves are sound waves, seismic P-waves, and ultrasound waves. Transverse waves examples include electromagnetic waves and ocean waves. In this article, we will learn what is a longitudinal wave and its characteristics. Longitudinal waves are waves where the displacement of the medium is in the same direction as the direction of the traveling wave. The distance between the centers of two consecutive regions of compression or the rarefaction is defined by wavelength, λ. When the compression and rarefaction regions of two waves coincide with each other, it is known as constructive interference and if the regions of compression and rarefaction do not coincide, it is known as destructive interference.

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The speed of the objects after collision, given that they stocked together is 5.4 m/s

We'll beging by listing out the given parameters from the question. This is given below:

The speed after the collision can be obtained as shown below:

Momentum before = momentum after

m₁u₁ + m₂u₂ = v(m₁ + m₂)

(2 × 4) + (5 × 6) = v(2 + 5)

8 + 30 = v × 7

38 = v × 7

Divide both sides by 7

v = 38 / 7

v = 5.4 m/s

Thus, the speed after collision is 5.4 m/s

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The tangential velocity of the sun at the equator is, 2370.25π km/hr.

Tangential velocity is the linear component of the speed of any object which is moving along a circular path. A point on the outside edge of a turntable moves a greater distance in one complete rotation than a point near to the center.

The equation for velocity is v = ΔxΔt. Using the circumference of the circle as the distance and the time as the period, we can rewrite the equation for velocity: v = 2πr/T.

Plug in the given values and solve for the velocity.

v = 2π (696,000km)/587.28 hr

v = π × 1392000km/587.28 hr

v = 2370.25π km/hr

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