suppose electric current is going through a 960 ohm resistor and you use a voltmeter to measure a potential difference of 4.98 volts across the two terminals of the resistor. what must be the current in amperes going through this resistor?

The magnitude of the electric field at (a) 0 cm, (b) 10.0 cm, (c) 40.0 cm, and (d) 60.0 cm from the center of the sphere will be respectively, (a) Infinite, (b) 2.26 × 10^5 N/C, (c) 6.52 × 10³ N/C, and (d) 2.26 × 10³ N/C.

If an electric field is r distance from the center of a uniformly charged sphere which has the radius R and if the charge total is Q the equation of charge equal to,

E = k × Q / r²     ( k is the coulomb-constant )

If the distance is 0 cm the magnitude of the charge will be infinite.

If the distance is 10 cm, the magnitude will be,  

8.99 × 10^9 Nm²/C² × 26 × 10^-6 C / (10² cm)² = 2.26 × 10^5 N/C

If the distance from the sphere is 40 cm, the magnitude of the electric field will be,

8.99 × 10^9 Nm²/C² × 26 × 10^-6 C / (40² cm)² = 6.52 × 10³ N/C.

If it is 60 cm then,

8.99 × 10^9 Nm²/C² × 26 × 10^-6 C / (60² cm)² = 2.26 × 10³ N/C.

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The wavelength of the light is  939.7 × 10⁻⁹ meter or 939.7 nm.

A diffraction grating is a periodic optical element used in optics that splits light into many beams that move in various directions. A type of structural coloring is the coloration that is emerging.

The  spacing of the slits in the grating is 1.00×10⁻⁶ m.

The angle between the first order diffraction maxima is 70.0°

Let the  wavelength of the light = λ

Hence,

1.00×10⁻⁶ × sin70.0° = 1 ×  λ

λ = 939.7 × 10⁻⁹

Hence, the wavelength of the light is  939.7 × 10⁻⁹ meter or 939.7 nm.

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The workdone by the gravitational force is 7271.6 J.

Work is said to be done when a force moves a body through a certain distance.

To calculate the workdone by gravitational force, we use the formula below

Formula:

Where:

Substitute these values into equation 1

Hence the workdone is 7271.6 J.

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The rotational inertia of the meter stick about the given axis is 0.023 kg m².

What is the rotational  motion?

Rotational motion is a type of motion in which an object or particle rotates around an axis. This type of motion is commonly seen in spinning tops, wheels, and other objects that have a rotating portion.

The rotational inertia of an object depends on its mass distribution and the distance of that mass from the axis of rotation. For a thin rod rotating about an axis perpendicular to its length, the rotational inertia is given by the formula:

[tex]\mathrm{I = (1/12) \times m \times L^2}[/tex]

where I is the rotational inertia, m is the mass of the rod, and L is the length of the rod.

In this case, the length of the meter stick is 1 meter, or 100 cm. The mass of the stick is 0.62 kg. We are interested in the rotational inertia about an axis perpendicular to the stick and located at the 25 cm mark. To find the rotational inertia, we need to consider the mass distribution of the stick relative to this axis.

The stick can be divided into two parts: a 25 cm section from one end, and a 75 cm section from the other end. The 25 cm section has a mass of:

m₁ = (25/100) × 0.62 kg

= 0.155 kg

The center of mass of this section is located at its midpoint, or 12.5 cm from the axis.

The 75 cm section has a mass of:

m₂ = (75/100) × 0.62 kg

= 0.465 kg

The center of mass of this section is located at its midpoint, or 50 cm from the axis.

To find the rotational inertia of the meter stick about the axis at the 25 cm mark, we need to add together the contributions from each section:

[tex]\mathrm{I = I_1 + I_2}[/tex]

where I_1 is the rotational inertia of the 25 cm section and I_2 is the rotational inertia of the 75 cm section.

For the 25 cm section, the distance of its center of mass from the axis is 12.5 cm. Using the formula for the rotational inertia of a thin rod, we get:

[tex]\mathrm{I_1 = (1/12) \times m_1 \times (L_1)^2 }[/tex]

= (1/12) × 0.155 kg × (0.25 m)²

= 0.00114 kg m²

For the 75 cm section, the distance of its center of mass from the axis is 50 cm. Using the formula for the rotational inertia of a thin rod, we get:

[tex]\mathrm{I_2 = (1/12) \times m_2 \times (L_2)^2 }[/tex]

= (1/12) × 0.465 kg × (0.75 m)²

= 0.022 kg m²

Therefore, the total rotational inertia of the meter stick about the axis at the 25 cm mark is:

I = [tex]\mathrm{I_1 + I_2 }[/tex]

= 0.00114 kg m² + 0.022 kg m²

= 0.023 kg m²

So the rotational inertia of the meter stick about the given axis is 0.023 kg m².

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Julio's planned rate of speed would be 90 km/h (kilometers per hour).

This is calculated by taking the total distance (200 km) divided by the total time (2 hours minus 40 minutes, or 1 hour and 20 minutes). So, 200 km divided by 1.33 hours (1 hour and 20 minutes) is equal to 90 km/h.

Speed is a scalar quantity that measures how quickly an object is moving in a given direction. It is usually measured in units of distance per unit of time, such as miles per hour or meters per second. Speed is calculated by dividing the distance an object travels by the time it takes to travel that distance.

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You are stationary and you observe a frisbee being thrown out of a car. the car is going 40 m/s to the right. the frisbee is thrown at a speed of 15 m/s (relative to the car) to the right. The frisbee will fly by you at a speed of 55 m/s.

When you observe a frisbee being thrown out of a car that is traveling at 40 m/s to the right and the frisbee is thrown at a speed of 15 m/s to the right relative to the car, the speed of the frisbee relative to you is the sum of the speed of the car and the speed of the frisbee relative to the car.

So, the speed at which you see the frisbee fly by is:

speed = 40 m/s + 15 m/s = 55 m/s

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No, the student has not done any work on the wall. Work is defined by physics as the transfer of energy from one object to another.

In this case, the student is exerting a force on the wall, but since the wall is not moving, no energy is being transferred and thus no work has been done.

Work is a fundamental concept in physics, and it can help us better understand how objects interact with each other and the environment around them. In a general sense, work is defined as the transfer of energy from one object to another, usually through the application of a force. This means that when a force is applied to an object, work is done on it and the object moves in the direction of the applied force.

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The slope is a straight line when the rate constant (lnk) is plotted against the inverse energy of the temperature (kelvin). Where R is a constant equal to 8.314 J/mol-K, the slope's value (m) is equal to -Ea/R.

The bare minimum additional energy needed by a reactive molecule to transform into a product is known as activation energy. The minimal quantity of energy required to activate or energize can also be used to characterize it.

What do threshold energy and activation energy mean?

Threshold energy is the bare minimum of energy required for an effective collision between reactant molecules and product formation. The additional energy needed by the reactants to undergo activation is known as activation energy.

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The maximum value of resistance is 1500kΩ while the minimum value of resistance is 100kΩ.

Given the capacitance of capacitor (C) = 10μF

Let the resistance be = R

Le the time take be = t

We know that the relation between resistance, capacitance and time taken are identified as: T = RC

When capacitance increases, the time it takes for the resistance to be reduced increases. This is because capacitance is the ability of a device to store electrical energy, and as capacitance increases, the amount of energy stored increases, and so it takes longer for the resistance to be reduced.

Given t = 15s, then R = 15/10μF = 1500kΩ

For t = 8s, then R = 8/10μF = 800kΩ

For t = 4s, then R = 4/10μF = 400kΩ

For t = 2s, then R = 2/10μF  = 200kΩ

For t = 1s, then R = 1/10μF  = 100kΩ

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The average force required to stop a car, we need to calculate the change in momentum of the car. The formula for the change in momentum is given by: Δp = m * vf - vi is 32 kN.

where Δp is the change in momentum, m is the mass of the car,

vf is the final velocity, and

vi is the initial velocity.

Since the car is stopping,

the final velocity is zero.

Next, we can use the equation for force,

which is:

Force = Δp / Δt

where Δt is the time taken to stop the car.

So, we can substitute the change in momentum equation into the force equation to get:

Force = (m * vi) / Δt

Now, we can substitute the known values into this equation:

Force = (990 kg * 83 km/h) / 7.2 s

First, we need to convert the initial velocity from km/h to m/s:

83 km/h = 83 * 1000 / 3600 m/s

= 23.06 m/s

So, the equation becomes:

Force = (990 kg * 23.06 m/s) / 7.2 s

Force = 32,400 N

So, the average force required to stop a 990 kg car traveling at 83 km/h in 7.2 seconds is approximately 32,400 N. To two significant figures, this is 32 kN.

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A metal rod with a diameter of 8.2 centimeters or less could float in water under the given conditions.

The maximum weight that can be supported by surface tension,

W = 2πσcosθd

where, σ is the surface tension between the water and steel (72.8 mn/m)

θ is the contact angle between the steel and water (30 degrees or π/6 radians)

d is the diameter of the rod

Weight of the rod is given by,

W_rod = Vρg

where, V is the volume of the rod

ρ is the density of the steel (8,000 kg/m^3)

The volume is given by:

V = π/4 * d^2 * L

where L is the length of the rod.

Setting W = W_rod,

2πσcosθd = π/4 * d^2 * L * ρ * g

d = √(4σcosθ/ρgL)

d = √(4 * 72.8 × 10^-3 N/m * cos(π/6) / (8,000 kg/m^3 * 9.81 m/s^2 * L))

d = √(6.79 × 10^-6 / L)

Therefore, the diameter of the metal rod that can be made to float depends on the length of the rod. For example, if the length of the rod is 1 meter, then:

d = √(6.79 × 10^-6 / 1) ≈ 0.082 meters or 8.2 centimeters

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The horizontal force that the seat exerts on the driver is 72.1 times the acceleration of the car, expressed in Newtons (N), the unit of force.

What is the force ?

Force is a type of physical phenomenon that can cause an object to move, stop, accelerate, deform, or otherwise change its state of motion. A force is a vector, which means it has both magnitude and direction.  Force is one of the fundamental building blocks of physics, and is an important concept to understand when studying the behavior of physical systems

The horizontal force that the seat exerts on the driver depends on the acceleration of the car. If the car is not accelerating, then the seat exerts no horizontal force on the driver (only a vertical force due to the weight of the driver).

However, if the car is accelerating, then the seat will exert a horizontal force on the driver to accelerate the driver along with the car. The magnitude of this force can be calculated using Newton's second law of motion, which states that the net force acting on an object is equal to the product of its mass and acceleration.

Let's assume that the car is accelerating with an acceleration of a m/s^2, and that the driver has a mass of 72.1 kg.

The horizontal force that the seat exerts on the driver can be calculated as follows:

Net force = mass x acceleration

F_seat - friction_force = m_driver x a

where F_seat is the force that the seat exerts on the driver, and friction_force is the force of friction between the driver and the seat.

If we assume that the friction force is negligible (for example, if the driver is wearing a seatbelt that prevents them from sliding on the seat), then we can simplify the equation to:

F_seat = m_driver x a

Substituting the values, we get:

F_seat = 72.1 kg x a

So the horizontal force that the seat exerts on the driver is 72.1 times the acceleration of the car, expressed in Newtons (N), the unit of force.

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The average acceleration magnitude from 3 to 8 seconds is -4 m/s²

Average acceleration is defined as the rate of change in velocity or change in velocity per unit time. The units of acceleration are the square of distance and time. A symbol with a bar above it is read as an average. So the bar is the average acceleration. Average acceleration is displacement change divided by elapsed time. Instantaneous acceleration is the acceleration at a point in time.

Average acceleration = (v2 - v1) / (t2 - t1) = (0 m/s - 20 m/s) / (8 s - 3 s)

= -20m/s / 5s = -4m/s^2

The average acceleration magnitude from 3 to 8 seconds is -4 m/s²  

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The magnitude of its acceleration when it is at point a. is 0.763 [tex]m/s^2[/tex]

Acceleration is the rate at which the speed and direction of a moving object change over time.Something is said to be accelerating when it starts to move faster or slower.Motion on a circle accelerates even while the speed is constant because the direction is always changing.These collisions lead to an acceleration of all other motion types.Another vector quantity is velocity. The change in velocity vector over a time interval divided by the time interval is the definition of acceleration.

[tex]y=\sqrt2 x^{\frac{1}{2} }[/tex]

[tex]\frac{dy}{dx} =\frac{1}{2} \sqrt2x^{\frac{-1}{2} }[/tex]

[tex]\frac{d^2y}{dx^2} =\frac{-1}{4} \sqrt2x^{\frac{-3}{2} }[/tex]

[tex]p=\frac{[1+\frac{dy}{dx}^2]^{\frac{3}{2} } }{\frac{d^2y}{dx^2}} =\frac{[1+\frac{1}{2} \sqrt2x^{\frac{-1}{2} }]^{\frac{3}{2} } }{\frac{-1}{4} \sqrt2x^{\frac{-3}{2} }} \\:[/tex] at x= 25m

p=364.21 m

acceleration: the speed of motorcycle at a is

v = [tex](60) \frac{km}{h}(\frac{1000 m}{1Km})(\frac{1h}{3600s})[/tex]= 16.67 m/s

[tex]a_n=\frac{v^2}{p}=\frac{16.67^2}{364.21}=0.7627 \: m/s^2[/tex]

since the motorcycle travels with the constant speed a=0 the magnitude of acceleration of motorcycle at a is

a=[tex]\sqrt{a_r^2+a_n^2}=\sqrt{0^2+0.7627^2}=0.763\: m/s^2[/tex]

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If an airplane is consuming 95 pounds of fuel per hour at a cruising altitude of 6,500 feet and the ground speed is 173 knots, the amount of fuel required to travel 450 NM is 248 pounds.

Velocity is the speed of an object in motion in a particular direction as its rate of change in position from a particular frame of reference as observed by an observer and is measured by a particular standard of time. Velocity is a physical vector quantity. It has both magnitude and direction. The scalar absolute value (magnitude) of velocity is called speed. The amount of fuel consumed by the airplane is 95 pounds of fuel per hour. The height of the altitude, h= 6500 feet. The ground speed of the airplane, v= 173 knots. The distance for the airplane to travel, d= 450NM. The amount of fuel required = is 248 pounds.

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In physics, a photon is a particle of light or electromagnetic radiation. The energy of a photon is the amount of energy that the photon carries. This energy is directly proportional to the frequency of the radiation, and inversely proportional to the wavelength.

The energy of a photon can be calculated using the formula:

E = h * c / λ

where E is the energy of the photon, h is Planck's constant (6.626 x 10^-34 J*s), c is the speed of light (2.998 x 10^8 m/s), and λ is the wavelength of the light in meters.

Converting the wavelength of the laser from nanometers to meters, we get:

λ = 520.0 nm = 520.0 x 10^-9 m

Plugging in the values, we get:

E = (6.626 x [tex]10^{-34}[/tex] J*s) * (2.998 x [tex]10^8[/tex] m/s) / (520.0 x [tex]10^{-9[/tex] m)

E = 3.815 x [tex]10^{-19[/tex] J

Therefore, the energy of each photon of the laser beam is 3.815 x [tex]10^{-19[/tex] J.

To calculate the number of photons emitted per second, we can use the formula:

P = E * f

where P is the power output of the laser in watts, E is the energy of each photon in joules, and f is the frequency of the light in hertz (Hz).

The frequency of the light can be calculated using the formula:

f = c / λ

where c is the speed of light and λ is the wavelength of the light.

Plugging in the values, we get:

f = (2.998 x [tex]10^8[/tex] m/s) / (520.0 x [tex]10^{-9[/tex] m)

f = 5.764 x [tex]10^{14[/tex] Hz

Now we can calculate the number of photons emitted per second:

P = (24.00 W) / (3.815 x [tex]10^{-19[/tex] J/photon) * (5.764 x [tex]10^{14[/tex] Hz)

P = 8.81 x [tex]10^{19[/tex] photons/s

Therefore, the 24.00 watt laser produces a beam of green light with a wavelength of 520.0 nm that contains approximately 8.81 x [tex]10^{19[/tex] photons per second, and each photon has an energy of 3.815 x [tex]10^{-19[/tex] J.

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The speed of the water balloon when it hits the ground is approximately equal to 16.4 m/s.

The speed of a freely falling object can be calculated using the equation:

v = √(2 × g × h),

where g is the acceleration due to gravity (9.8 m/s²), and h is the height from which the object is dropped.

In this case, h = 14 m, so substituting the values into the equation, we get:

v = √(2 × 9.8 × 14) = √(2 × 136.4) = √273.2 = 16.4 m/s.

So the speed of the water balloon when it hits the ground is approximately equal to 16.4 m/s.

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You can implement this logic in Unity using a script that checks the object's slope angle and adjusts its speed accordingly.

To change an object's speed in Unity based on the slope of the surface it's moving on, you can calculate the angle of the slope using the normal vector of the surface. Then, you can adjust the speed of the object by applying a speed multiplier based on the slope angle.

If the angle is less than 90 degrees, the speed multiplier will be greater than 1, making the object move faster downhill. If the angle is greater than 90 degrees, the speed multiplier will be less than 1, making the object move slower uphill.

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Answer:

It might be because the chasing creature wanted a prey or to play

The rate of consumption of coal is approximately 0.102 tons per day.

The heating value of coal, which is the amount of heat released when 1 kilogram of coal is burned, is 30 megajoules per kilogram. If 100% of this heat is used in a cycle, the rate of consumption of coal in tons per day can be determined by multiplying the heating value by the number of kilograms of coal burned in a day and converting the result to tons. To convert megajoules to tons, you can divide the result by the energy equivalent of 1 ton of coal, which is approximately 29.3 gigajoules. The calculation would be as follows: (30 MJ/kg) × (kg of coal burned in a day) / (29.3 GJ/ton) = tons of coal burned per day.

Let's assume that the rate of consumption of coal is 10,000 kilograms per day.

The calculation to determine the rate of consumption in tons per day would be as follows:

(30 MJ/kg) × (10,000 kg/day) / (29.3 GJ/ton) = (30 × [tex]10^{6}[/tex] J/kg) × (10,000 kg/day) / (29.3 × [tex]10^{9}[/tex] J/ton) = 0.102 tons/day.

So, the rate of consumption of coal is approximately 0.102 tons per day when 10,000 kilograms of coal are burned per day and 100% of the heat is used in the cycle.

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Heat absorbed = Q,Work done on system = -Q,From first law of thermodynamics,Q= W+U,So Q = -Q +U Or U = Q + Q = 2Q.

The change in the internal energy of a system is the sum of the heat transferred and the work done. The heat flow is equal to the change in the internal energy of the system plus the PV work done.

When a system absorbs heat,the molecules start moving faster because kinetic energy increases,hence disorder increases. For the same amount of heat absorbed at lower temperature,the disorder is more than at higher temperature.

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The zonular fibers, a group of minuscule fibrous strands, hold the ciliary body to the lens. This add-on is essential

What exactly minuscule  is tiny?

The definition of tiny. (Page 1 of 2) lowercase letter 1 2a: one of a number of cursive writing types that emerged in the ancient and medieval periods and included small, simpler forms. B: This kind of a letter.

Is our understanding of the effects of any occurrence minimal?

Or possibly tiny, like the daydreams we think and pray will keep us safe. It should be clear that compared to the full range of repercussions leading till the of history, our understanding of the impact of any given event is extremely limited.

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The force acts in same direction for a further 2.0 m before decreasing to 15 N. the body's total kinetic energy is given by bodya = Fnet / m.

An object's amount of kinetic energy it has as a result of motion. Applying force is necessary if we wish to accelerate an object. We have to put in work to apply a force.

Energy, according to scientists, is the capacity for work. The ability to transform converted one object to another and use it to perform tasks is what makes modern civilization possible.

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When the motor m winds the wire in at a speed of 1 m/s, the point p on the cable moves at a speed of 4 m>s.

Quickness of motion or activity is known as velocity. Speed is a shorter term and a synonym for celerity. The term "velocity" in physics especially refers to the measurement of an object's rate and direction of positional change. It is a vector quantity that describes a body's motion in terms of both speed and direction.

(La - Lp) + La + 2(La - C) = L

La - Lp + La + 2La - 2C = L

4La - Lp -2C = L

4Va - Vp = 0

4Va = Vp

4Va = 4

Va = 1m/s

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Power and time are multiplied to produce the energy transfer. The 378 kJ of energy produced by the 1.4 kW teapot with boiled water. Describe energy. The quantitative property is energy.

What does the word "energy" mean?

The capacity to perform work is energy. Energy is referred to by scientists as the capacity for work. People have figured out how to transform energy from one type to the other and use it to accomplish tasks, making modern civilization possible. Walking, bicycling, driving, rowing, and using stoves all require the usage of energy from people.

Why is energy necessary, and what is it?

Energy is the capacity to carry out work. Energy is referred to by scientists as the capacity for work. People have figured out how to transform energy from one kind to the other and utilize it to accomplish tasks, making modern civilization possible.

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The sphere located at the opposite end of the aluminum rod does not acquire an electric charge.

The presence of a comb, held near one end of the rod, causes electrons from the rod to flow towards the comb due to its negatively charged electrons. This leads to a rearrangement of electrons within the rod, but not to the generation of an electric charge at the other end, which is too distant to be impacted by the comb.

Since both the comb and the rod are made of non-conductive materials, the flow of electrons is restricted and the rearrangement of electrons is limited, thus the sphere remains uncharged.

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The correct option is E. The time it takes to make 10 revolutions is 5.6 s.

The angular acceleration, alpha = 4 rad/s^2

the number of revolutions, N = 10 rev

the angle covered , theta = N * 2pi = 10 * 2pi rad

theta = 62.8 rad

using the second equation of motion

theta = 0 + 0.5 * 4 * t^2

62.8 = 0 + 0.5 * 4 * t^2

solving for t

t = 5.6 s

the time taken is (e) 5.6 s

A revolution is a fundamental and comparatively surprising alternate in political strength and political organization which occurs when the population revolts against the authorities, typically due to perceived oppression (political, social, monetary) or political incompetence.

Revolutions have taken place during human records and vary extensively in phrases of strategies, length, and motivating ideology. Their effects encompass main changes in culture, economy, and socio-political establishments, normally in reaction to perceived overwhelming autocracy or plutocracy.

Scholarly debates about what does and does not represent a revolution middle on numerous issues. Early research of revolutions on the whole analyzed activities in ecu records from a mental attitude, but more modern examinations encompass global activities and incorporate perspectives from several social sciences, together with sociology and political technological know-how.

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A wheel starts from rest and has an angular acceleration of 4.0 rad/s2. the time it takes to make 10 revolutions is:

group of answer choices

A). 0.50 s

B). 0.71 s

C). 2.2 s

D). 2.8 s

E). 5.6 s

We can presume that all of the heat from the metal was transmitted to the water because the walls of the coffee-cup calorimeter are thought to be entirely adiabatic.

An instrument called a calorimeter measures the amount of heat produced during a chemical or physical process. For instance, when an exothermic reaction takes place in solution in a calorimeter, the solution absorbs the heat created by the process, raising its temperature.

Coffee calorimeters are isolated (but only if they have a lid that prevents gas from leaving) - they maintain constant pressure and, in a perfect world, allow no heat exchange (adiabatic); but, depending on the setup, gases (or matter) can exchange.

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0.69 J work is required to stretch it from 16 cm to 22 cm

Define work done.

Work is the energy that is transferred when a force is applied to a moving object. The amount of force multiplied by the amount of displacement multiplied by the cosine of the angle between them results in the work that a force produces on an object.

An elastic device known as a spring is used to store mechanical energy and release it in response to the removal of an opposing force. A spring-like object's displacement and spring constant both directly affect how much force is needed to modify the object's length.

F = k Δx

23 N = k (0.28 m − 0.16 m)

k =  191 N/m

W = PE

W = ½ k (Δx)²

W = ½ 191* (0.22 m − 0.16 m)²

W = 0.69 Nm

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Yes, you can see a source of light through a bent tube, but it may appear distorted or refracted due to the bending of the tube.

When light passes through a bent tube, it is refracted or bent due to the change in the refractive index of the medium. As a result, the light rays are redirected and follow a curved path, allowing us to see the source of light through the tube.

The amount of bend or refraction depends on the angle of bend, the type of material the tube is made of, and the wavelength of light. The phenomenon is described by the law of refraction, also known as Snell's law.

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