a block of mas \( m \) = 4.8 kg slides head on into a spring of spring constant \( k \) = 430 N/m. When the block stops, it has compressed the spring by 5.8 cm. The coefficient of kinetic friction between block and floor is 0.28. \( (g =9.8m/s^2) \)

Answer:

They have each lost the same amount of potential energy. (The lost potential energy is converted to kinetic energy.)

The 10/90 principle can be a powerful tool for taking control of your situation and improving your life. By taking responsibility for what you can change and focusing on your reaction to the situation, you can make positive changes in your life and become the master of your own destiny.

The 10/90 principle refers to the idea that life is made up of 10% of what happens to you and 90% of how you respond to it. In other words, you may not be able to control what happens to you, but you can control your reaction to it. By taking responsibility for what you can change rather than being a victim of what you cannot change, you can take control of your situation and improve your life.One example of a situation where the 10/90 principle could be applied is losing a job. Losing a job can be a devastating experience, and it can be easy to feel like a victim in this situation. However, by applying the 10/90 principle, you can take control of your situation and make positive changes in your life.The first step in applying the 10/90 principle in this situation would be to take responsibility for what you can change. This could mean updating your resume, networking with others in your field, and applying for new jobs. By taking action and doing what you can to find a new job, you are taking control of your situation and improving your chances of finding a new job.
The second step would be to focus on your reaction to the situation. Instead of dwelling on the negative aspects of losing your job, try to focus on the positive aspects. This could mean using the extra time to pursue a new hobby or spend more time with family and friends. By focusing on the positive aspects of the situation, you are taking control of your reaction and improving your overall well-being.
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Answer:

\(V_2=3.3m/s\)

Explanation:

From the question we are told that:

Distance \(d_1=1.4m\)

Tangential speed \(V=2.2m/s\)

Distance 2 \(d_2=2.1m\)

Generally the equation for Angular velocity is mathematically given by

 \(w=\frac{v}{r}\)

Therefore

 \(\frac{v_1}{r_1}=\frac{v_2}{r_2}\)

 \(V_2=\frac{2.2*2.1}{1.4}\)

 \(V_2=3.3m/s\)

When the mass of the cart changes, the time to travel at 4.6 m/s is 28.11 s.

The acceleration of mule is calculated as follows;

a = v/t

a = 5/10

a = 0.5 m/s²

F1 = F2

m₁v₁/t₁ = m₂v₂/t₂

(180 x 5) / 10 = (550 x 4.6)/t

90 = 2530/t

t = 2530/90

t = 28.11 s

Thus, when the mass of the cart changes, the time to travel at 4.6 m/s is 28.11 s.

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The strength of a force can be measured by using a force sensor or a spring scale. These instruments measure force in units of newtons (N) or pounds (lbs). The amount of deflection or extension of the spring is directly proportional to the force applied. The force can also be measured indirectly by measuring its effect on an object, such as the acceleration of an object under the influence of the force, using Newton's second law of motion.

Answer:

A)  two voltages are equal, B) the two voltages are different

C) voltage is the same V = 0, D)  V_{battery} = V_{Lamp} > V_{wire}

Explanation:

For this exercise, it is asked to build a circuit with the plug, the lamp and the battery, the circuit must be a series circuit

Before connecting the battery voltage is Vo as they indicate that it is ideal there are no losses, the voltages of the other elements are zero.

A) Voltages battery

a) single battery Vo

b) the battery is connected to the lamp this takes something current, but the electromotive force does not change therefore the voltage is Vo; This is because the battery's energy comes from a chemical reaction of the elements inside it.

in summary the two voltages are equal

B) voltage Lamp

a) when the bulb is single, its voltage is zero V = 0

since it has no energy

b) when in the circuit V = V₀ - V_r

where V_r is the voltage across the wire, due to its resistance, the energy for these voltages is given by the battery

in this case the two voltages are different

C) the voltage across the wire

a) unconnected V = 0

b) connected V = V₀ - V_L

where V_L is the voltage across the lamp due to its resistance

we can write the wire voltage

                V_r = i R

as they indicate that the wire is ideal, its resistance is zero R = 0, consequently

               V_r = 0

the voltage is the same V = 0

D) circuit voltage

 For this part we must write Ohm's law for this circuit

            V₀ = V_L + V_r

where V₀ is the battery voltage, V_L and V_r are the voltage of the lamp and the wire, respectively.

The voltage of each element is

                   V_L = i R_L

                   V_r = i R

This is a series circuit so the current is also constant

                 V₀ = i (R_L + R)

therefore the voltage in the battery is the highest V₀

the voltage across the wire if it is ideal is zero V_r = 0, if it is ideal its resistance is zero

therefore the voltage on the lamp is equal to the voltage of the battery

          V_{battery} = V_{Lamp} > V_{wire}

The collector area required to meet the household requirements from solar energy is 15.5m².

Solar energy, one of the renewable sources of energy, is defined as the transformation of solar energy. Most of the sunlight is converted to visible light and infrared radiation once it has passed through the atmosphere of the earth.

Average solar irradiance per meter square of earth's surface = 1380 W/m²

Let 'A' be the area to receive power

Total power received = A * 1380 W/m²

Energy converted into electric energy per second is = 15/100*A*1380W/m²

Household energy requirement = 3.2 kW

So by solving, we get

15/100 * A * 1380 W/m² =  3.2 kW

A = 3.2 * 10⁶ / 15 * 1380

A = 15.459 m²

By rounding off the collector area required is 15.5m².

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From the given list of items, examples of matter include, heat, air, water, gasoline, and bacteria.

Matter is a substance made up of various types of particles that occupies physical space and has inertia.

A matter must have mass and occupy space.

Examples of matter include the following;

Thus, from the given list of items, examples of matter include, heat, air, water, gasoline, and bacteria.

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If you only know its speed, that's not enough information to catch it. You could even chase it at DOUBLE that speed, and you'd never catch it if you were chasing in the wrong direction.

You also have to know the DIRECTION the runaway car is going, so that you can chase in the same direction.

Now that you know its speed AND direction, you know its velocity. You need that information to have any chance of catching it.

Answer:

Compared to the first student, the second student did twice as much work as the first student.

Explanation:

The work done by the first student will be equal to the Force exerted by the backpack on the student carrying it multiplied by one mile (Distance).  The work done by the second student will be equal to the Force exerted by the backpack on the student carrying it multiplied by two miles (Distance).

Answer

NB:

- speed, U is measure in m/s

- acceleration, a is measured in m/s²

-time t in seconds , s

Therefore conversation must be made

Speed U = 20km/hrs

=20km÷1hr

But 20km= 20×1000=20000m

1hr= 1×60min×60sec=3600s

U=20000÷3600=5.56m/s

a=30km/hrs

=30km÷1hr

But 30km=30×1000=30000

1hr=3600s

a=30000÷3600=8.33m/s²

From the equation of motion

S=Ut + ½ at².

Where s= distance

S = 5.56m/s × 20s + ½(8.33m/s²)(20s)²

S = 1777.3m

The correct answer is "A compass".

The compass does not use any electromagnet to work it uses the magnetic field around the Earth to show the direction.

The school bell, speaker, and doorbell use an electromagnet to work as these devices are based on the principal of electromagnet.

Thus, option D is correct.

Answer:

\(2.48*10^{10}\)

Explanation:

Given the expression  (3.96 x 10^2)/(1.6 x 10^-8), we are to express in scientific notation. Applying one of the laws of indices which says;

\(\frac{a^m}{a^n} = a^{m-n}\)

The expression becomes;

\(= \dfrac{3.96}{1.6}*\dfrac{10^2}{10^{-8}}\\ \\= \dfrac{3.96}{1.6}*10^{2-(-8)}\\\\= \dfrac{3.96}{1.6}*10^{2+8}\\\\= \dfrac{3.96}{1.6}*10^{10}\\\\= 2.475*10^{10}\\\\= 2.48*10^{10} (to \ 2dp)\)

The metal with the highest heat capacity between metals A.25 B.35 C.10 and D.15 is metal A.

Heat capacity is the amount of heat required to raise the temperature of a substance by one degree Celsius. Metal A has a heat capacity of 400 J/kg°C, which means that it takes 400 joules of heat to raise the temperature of one kilogram of metal A by one degree Celsius.

Metal B has a heat capacity of 285.7 J/kg°C, metal C has a heat capacity of 1000 J/kg°C, and metal D has a heat capacity of 666.7 J/kg°C. Therefore, metal A has the highest heat capacity of the four metals.

Metal A's high heat capacity means that it can absorb a lot of heat without its temperature changing very much. This makes metal A a good material for things like heat sinks and thermal insulation.

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Answer: When a disrupted part of the ecosystem is left alone so that nature can help restore itself what people are counting on happening is secondary succession

Explanation:

The easiest approach would be to send a flyby mission.

A flyby mission is a spacecraft that passes by a planet or moon, gathering data and images as it goes. This type of mission is the simplest and least expensive, as it requires the least amount of fuel and time to complete.

In the case of measuring temperature, the spacecraft could use a combination of infrared and visible light sensors to measure the temperature of the surface at different points. The spacecraft could then transmit the data back to Earth for analysis.

This type of mission is ideal for quickly gathering data about a planet or moon, without having to send a spacecraft into orbit or land on the surface.

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The work required to move the crate vertically at a constant speed of 5.0 m is approximately 7000 Joules (J).

To determine the work required to move the crate vertically, we need to calculate the gravitational potential energy change. The work done is equal to the change in potential energy.

The formula for gravitational potential energy is given by:

Potential energy = mass * acceleration due to gravity * height

In this case, the mass of the crate is not provided, but we can use the given weight of the crate to find the mass. Weight is equal to mass multiplied by the acceleration due to gravity (W = mg).

Given:

Weight of crate (W) = 1400 N

Acceleration due to gravity (g) = 9.8 m/s^2

Vertical distance (height) = 5.0 m

First, calculate the mass of the crate:

1400 N = m * 9.8 m/s^2

m = 1400 N / 9.8 m/s^2 ≈ 143 kg

Now we can calculate the work:

Work = Potential energy = mass * g * height

Work = 143 kg * 9.8 m/s^2 * 5.0 m ≈ 7000 J

Therefore, the work required to move the crate vertically at a constant speed of 5.0 m is approximately 7000 Joules (J).

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Answer:

1.40 m/s

Explanation:

The potential energy of a compressed spring can be expressed as:

\(E_{ps}=\dfrac{1}{2}kx^2\)

From above;

k = spring constant

x = distance of the spring (compressed)

From the barrel, the kinetic energy (i.e. the final K.E) of the ball is calculated using the relation:

\(E_{kf}= \dfrac{1}{2}mv^2\)

where;

m = the ball mass

v = ball's speed

Equating both equations above, we have:

\(E_{ps}- F_fd=E_{kf\)

This can be re-written as:

\(\dfrac{1}{2}kx^2 - F_fd=\dfrac{1}{2}mv^2}\)

\(v^2 = (\dfrac{k}{m})x^2-\dfrac{2F_fd}{m}\)

\(v =\sqrt{ (\dfrac{k}{m})x^2-\dfrac{2F_fd}{m}}\)

replacing the values from the given information:

\(v =\sqrt{ (\dfrac{8.00\ N/m}{5.30\times10^{-3} \ kg})(5.00 \ cm \times \dfrac{10^{-2} \ m}{1 \ cm})^2-(\dfrac{2(0.032 \ N)(0.150 \ m)}{5.30\times \dfrac{10^{-3} \ kg}{1 \ g}})}\)

\(v = \sqrt{1.962264151}\)

v ≅ 1.40 m/s

The speed at which the projectile leaves the barrel of the cannon will be given as \(v=1.40\ \frac{m}{s}\)

Speed is defined as the movement of any object with respect to time. It is the ratio of distance and time.

Now it is given in the question:

Mass of ball m = 5.30 g

The deflection of spring = 5 cm

The force constant of spring  \(k= 8 \ \frac{N}{m^2}\)

The length of the barrel = is 15 cm

The frictional force of the barrel = 0.032 N

Now from the conservation of energy, we can write as

\(E_{spring}-E_{friction}=E_{ball}\)

\(\dfrac{1}{2} kx^2-F_fd=\dfrac{1}{2} mv^2\)

\(v=\sqrt{\dfrac{k}{m}(x^2) -\dfrac{2F_fd}{m} }\)

Now putting the values in the above formula:

\(v=\sqrt{\dfrac{8}{5.30\times 10^{-3}}(15\times10^{-2}) -\dfrac{2\times(0.0032)\times (0.015)}{5.30\times 10^{-3}} }\)

\(v=1.40\ \frac{m}{s}\)

Thus the speed at which the projectile leaves the barrel of the cannon will be given as \(v=1.40\ \frac{m}{s}\)

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a.  output voltage is 110 V, the RMS output voltage is approximately 155.56 V, the output (load) current is 15.56 A, the ripple factor is 0.866, and the form factor is 0.866. b. the input active power is 2640 W, the input apparent power is 2640 VA, and the power factor is 1 (or unity).

a. For a single-phase full-bridge uncontrolled (diode) rectifier with a pure resistive load of R = 10 Ohms and neglecting diode volt-drops, we can calculate the following values:

Average Output Voltage:

The average output voltage of a full-bridge rectifier can be calculated as half of the peak input voltage. Since the input voltage is 220 V, the average output voltage will be:

Average Output Voltage = (220 V) / 2 = 110 V

RMS Output Voltage:

The RMS output voltage of a full-bridge rectifier can be calculated as the peak input voltage divided by the square root of 2. In this case, the RMS output voltage will be:

RMS Output Voltage = (220 V) / √2 ≈ 155.56 V

Output (Load) Current:

Since the load is pure resistive, the output (load) current will be the same as the RMS output voltage divided by the load resistance. Therefore:

Output (Load) Current = RMS Output Voltage / R = 155.56 V / 10 Ω = 15.56 A

Ripple Factor:

The ripple factor for a full-bridge rectifier can be calculated as the ratio of the RMS value of the ripple voltage to the average output voltage. In this case, since we are neglecting diode volt-drops, the ripple factor is:

Ripple Factor = √(3/4) ≈ 0.866

Form Factor:

The form factor is the ratio of the RMS value of the output current to its average value. Since the load is purely resistive, the form factor is the same as the ripple factor:

Form Factor = 0.866

b. Now, assuming the load has an inductive nature with L >> R and a load current of 12 Amperes:

Input Active Power:

The input active power can be calculated as the product of the RMS input voltage, RMS input current, and the power factor. In this case, since the load current is flat and equal to 12 Amperes, and we neglect diode losses, the input active power will be:

Input Active Power = (220 V) * (12 A) = 2640 W

Input Apparent Power:

The input apparent power can be calculated as the product of the RMS input voltage and RMS input current. Therefore:

Input Apparent Power = (220 V) * (12 A) = 2640 VA

Power Factor:

The power factor is the ratio of the input active power to the input apparent power. In this case, the power factor will be:

Power Factor = Input Active Power / Input Apparent Power = 2640 W / 2640 VA = 1 (or unity)

Note: Neglecting diode losses implies that we assume the diodes are ideal, without any voltage drops or losses during the rectification process. In practical scenarios, there will be some voltage drops across the diodes, and losses should be taken into account for more accurate calculations.

Therefore, a. For a single-phase full-bridge uncontrolled (diode) rectifier with a pure resistive load of 10 Ohms, neglecting diode volt-drops, the average output voltage is 110 V, the RMS output voltage is approximately 155.56 V, the output (load) current is 15.56 A, the ripple factor is 0.866, and the form factor is 0.866. b. Assuming a load with an inductive nature, L >> R, and a flat load current of 12 A, the input active power is 2640 W, the input apparent power is 2640 VA, and the power factor is 1 (or unity).

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Answer: work and energy

Explanation: If a force is applied but the object doesn't move, no work is done; if a force is applied and the object moves a distance d in a direction other than the direction of the force, less work is done than if the object moves a distance d in the direction of the applied force.

Given data

*The given velocity of the car is v(t)= 10 + 3t + 512

The acceleration of the car is calculated as

Thus, the acceleration of the car at t = 2 s is 3 m/s^2

We have that the balanced chemical equation   is mathematically given as.

2Ti_3N + 3MgO → Mg_3N_2 +3Ti_2O

From the question we are told

Ti3N + MgO → Mg3N2 +Ti2O balance chemical equation.

Generally the way to balance an equation is by making all elements present on the Left hand side(LHS) same with the right hand side RHS.

Therefore

The equation is mathematically given as.

We consider the Left hand side(LHS) first.

Then we consider the right hand side RHS.

Therefore the balanced chemical equation   is mathematically given as.

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Answer:

An ohmic conductor is defined as one which obeys ohm's law that is V ∝ I where is the voltage and is the current. There must be a linear graph. Silver is an example of an ohmic conductor as the graph for silver is a linear graph. Silver and copper are some examples of ohmic conductor

Answer:

Δx = -1.27 m

the boat moves away from the shore

Explanation:

Let's analyze the exercise a little, to know when the boat has moved, we can fixate on a point, let's use the point of the center of mass, before and after the movement of people.

The center of mass is defined by.

           \(x_{cm}\)= 1 /M ∑ m_i  x_i

where M is the total mass of the object, x_i and m_i are the positions and masses of each part of the system.

let's find the total mass  

         M = m_boat + m_Juliet + m_Romeo

         M = 100 + 50 + 70

         M = 220 kg

now let's look for the center-mass position

initial. Before the movement of people

       x_{cm1} = 1/M (x_boat m_boat + x_juliet  m_juliet + x_romeo m_romeo)

Let's find the position of each object, let's fix our reference system on the front of the boat

The boat its center of mass coincides with its geometric center

       x_boat = 2 m

Julliet is sitting in the front of the boat

       x_juliet = 0 m

Romeo is sitting in the back of the boat

       x_romeo = 4 m

we substitute

      x_{cm1} = 1/220 (2 100 + 50 0 + 70 4)

      x_{cm1} = 2.1818 m

final. After the movement of people

positions

boat

     x_boat = 2 m

Juliet

     x_juliet = 0 m

Romeo

     x_romeo = 0 m

we substitute

     x_{cm2} = 1/220 (2 100 + 50 0 + 500 0)

     x_{cm2} = 0.9090 m

the movement of the boat is

    Δx = x_cm2 - xcm1

    Δx = 0.9090 - 2.1818

    Δx = -1.27 m

The negative sign indicates that the boat moves in the opposite direction to the movement of people, therefore the boat moves away from the shore

Answer:

The velocity of any point on a rigid body is ___Always perpendicular______ to the relative position vector extending from the IC to the point

Explanation:

This is because The instantaneous center (IC) of zero velocity for the rigid body is at the point in contact with ground. The velocity direction at any point on the body is always perpendicular to the line connecting the point to the IC.

The velocity of any point on a rigid body is : Perpendicular   to the relative position vector extending from the IC to the point.

The IC ( instantaneous center ) is the point of the rigid body in contact with the ground when the rigid body is at zero velocity.

The velocity direction from any point of the rigid body will always be perpendicular to the ( IC ) since the IC is the reference point of the rigid body when the body is at rest ( zero velocity ).

Hence we can conclude that the velocity of any point on a rigid body will be  perpendicular.

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Although the options related to your question is missing an accurate answer is provided within the scope of your question

Answer:

  D.  The current is the same across all resistors in the circuit.

Explanation:

In a series circuit, all circuit elements are connected so that there is exactly one current path. That path goes through each of the elements of the circuit.

The current is the same through all resistors in a series circuit.

1) The similarity is that in both the cases the light is deviated from its original path i.e. their angles change (even for a short while in a refraction) and the difference is in reflection the angle of incidence is equal to the angle of reflection whereas in refraction the angle of incidence is not equal to the angle of reflection.

2) A white t-shirt would feel cooler on a sunny day.

A black surface attracts heat and wearing a black t-shirt would attract the heat from the sun making us feel hotter.

3) There are three measurable properties

of wave motion: amplitude, wavelength,

and frequency. A definitive experiment was

Young's double slit experiment, which

demonstrated that light shined at two slits

in a screen show an interference pattern

characteristic of waves of light, rather than

particles.

Answer:

They each have one single proton (Z = 1), but differ in the number of their neutrons. Hydrogen has no neutron, deuterium has one, and tritium has two neutrons. The isotopes of hydrogen have, respectively, mass numbers of one, two, and three.

Explanation: