A student investigates the motion of a trolley. The trolley travels from 2ms-1 to 14ms-1 in a time of 5s. Find the average speed of the trolley after 5s.

COPPER

Because, copper

is just one of the more popular materials that is used for conductors

Answer:

*The same balloon put into the freezer would be smaller and shriveled.

* The volume decreases as the temperature decreases.

* using a hypothetical starting volume of 2 liters in the balloon at 42 degrees Celsius, we can use the equation V1/T1 =V2/T2

V2= 1.54 liters which proves when temperature decreases , volume decreases as well.

Explanation:

The volume increases as the temperature increases, and volume decreases as the temperature decreases.

using a hypothetical starting volume of 2 liters in the balloon at 42 degrees Celsius, we can use the equation V1/T1 =V2/T2

Change Celsius to kelvin by adding 273.

2 liters/ 315 K = V2/243 K

Cross multiply and then divide by 315 to find V2

2 liters x 243 K / 315 K = V2

The Kelvin cancels itself out.

486 liters /315=V2

V2= 1.54 liters.

This proves that when the temperature decreases , so does the volume.

In order to calculate the capacitance of this capacitor, we can use the formula below:

Where C is the capacitance (in Farad), e0 is the dielectric constant (equal to 8.9 * 10^-12) A is the plate area (in m²) and d is the plate separation (in m).

So, for A = 4 * 10^-2 m² and d = 0.04 (equal to 4 * 10^-2) m, we have:

Therefore the correct option is the first one.

Rock will reach the ground with the velocity of 48.29m/s.

Velocity is defined as the vector expression of displacement an object or particle undergoes with respect to time. The standard unit of velocity for expressing velocity magnitude is meter per second (m/s) or centimeter per second (cm/s). It is a vector quantity because it has both magnitude and direction.

Velocity can be expressed by the formula:

Velocity= Displacement/ Time taken

v= d/t

In terms of acceleration and initial and final velocity, it is expressed as:

\(v^2= u^2+ 2as\) (We can use 'g' in place of 'a' in the presence of the gravity)

Where, v= final velocity

u= initial velocity

s= Displacement

a= Acceleration or g= Acceleration due to gravity which is expressed as 9.8\(m/s^2\)

For above given information,

u= 0m/s

a=g= 9.8\(m/s^2\)

Δs= ( Final displacement - Initial displacement)= (0-119)= -119m

\(v=\sqrt{0+2*9.8*-119} \\v= \sqrt{-2332.4}\)

\(v= -48.29m/s\)

When an object is in free fall, we assume its velocity to be negative due to the downward direction.

Thus, rock will reach the ground with the velocity of 48.29m/s.

Learn more about Velocity, here:

https://brainly.com/question/18084516

#SPJ2

The difference between the momentum before and after the bounce was 1.407 kg/s.

initial energy = mg(3) J = 29.4J

After bouncing ,energy = mg(2) =19.6J

Ball's change in energy = 29.4J - 19.6J = 9.8J

This energy is dissipated in the form of heat energy or sound energy.

work done during the bounce = 9.8J

change in momentum = mvf-mvi

29.4 = 1/2m\(vi^{2}\)

vf =7.668m/s

19.6J =1/2m\(vf^{2}\)

vf=6.261m/s

Change in momentum = m(vf-vi) = 1kg x (-1.407m/s) = -1.407

Learn more about momentum here:

https://brainly.com/question/24030570

#SPJ4

It swings back and forth. The given information includes the mass of the sphere \((1.5×10^−2 kg)\) and its radius \((4.5×10^−2 m).\)

When the holiday ornament is displaced from its equilibrium position and released, it behaves as a physical pendulum. The motion of a physical pendulum depends on its mass distribution and moment of inertia. In this case, the mass is concentrated on the surface of the hollow sphere.

The moment of inertia of a hollow sphere can be calculated as I = \(2/3 * m * r^2\), where m is the mass of the sphere and r is its radius. Plugging in the given values, we have I = \(2/3 * (1.5×10^−2 kg) * (4.5×10^−2 m)^2.\)

Once the moment of inertia is determined, the period of oscillation for a physical pendulum can be calculated using the formula T = 2π * √(I/mgd), where T is the period, g is the acceleration due to gravity, and d is the distance from the point of suspension to the center of mass.

By substituting the values into the formula, the period of oscillation for the holiday ornament can be determined.

Learn more about inertia here:

https://brainly.com/question/3268780

#SPJ11

The maximum acceleration of the platform is 10.8 m/s².

To calculate the maximum acceleration of the platform, we need to use the equation:

a_max = 4π²f²A

where a_max is the maximum acceleration, f is the frequency, and A is the amplitude.

Substituting the given values, we get:

a_max = 4π² × (9.30 Hz)² × 0.0300 m

a_max = 10.8 m/s²

Therefore, the maximum acceleration of the platform is 10.8 m/s².

This result tells us how quickly the platform is changing direction as it oscillates back and forth. It also indicates the force that a person standing on the platform would experience during the oscillations. This information is important in fields such as engineering and physics, where the behavior of oscillating systems is of interest. It can also be useful in designing and evaluating amusement park rides, which often involve oscillating platforms.

Learn more about oscillations

brainly.com/question/30111348

#SPJ11

If you are driving a vehicle at night, dim your lights by switching to low-beams before you are 500 ft from a vehicle coming toward you.

Dimming your lights when a vehicle is approaching is important to prevent blinding the other driver and ensuring both drivers have clear visibility. When driving at night, it is recommended to switch to low-beams when you are approximately 500 ft away from an oncoming vehicle. This allows the oncoming driver to see the road clearly without being dazzled by your high-beam lights.

It is important to practice proper lighting etiquette to promote safe driving conditions for everyone on the road. Dimming your lights in a timely manner helps to avoid accidents and maintain a courteous and considerate approach towards fellow drivers. If you are driving a vehicle at night, dim your lights by switching to low-beams before you are 500 ft from a vehicle coming toward you.

To know more about lights visit:

https://brainly.com/question/31064438

#SPJ11

11 MW. The portion of the medium frequency (MF) radio spectrum known as medium wave (MW) is utilized mostly for AM radio broadcasting. There are around 120 channels available on the spectrum.

The term "shortwave" dates back to the early days of radio, when the radio spectrum was split into long wave (LW), medium wave (MW), and short wave (SW) bands according to the wave length.

Short wave (SW) has subbands with frequencies ranging from 1.5 to 33 MHz and wavelengths of 10 to 200 m. Medium wave (MW): Frequencies between 300 kHz and 1.5 MHz, with wavelengths between 200 and 1000 m. Long wave (LW): Frequencies below 300 kHz due to wavelengths greater than 1000 meters.

Learn more about frequency here:

https://brainly.com/question/14316711

#SPJ4

Answer:

Answer: Creating more wind farms results in a reduction of fossil fuel use

Explanation:

Economical improvement is to make earth a superior spot for everybody, without wrecking the opportunities for the following ages. There are numerous Eco frameworks that should be in equilibrium for us to live here, the atmosphere framework is one of them. This framework guarantees that the atmosphere is right and the air transmits the perfect measure of sunlight based energy. With the destructive nurseries gases, (for example, Carbon dioxide) we stop up the air, this progressions the temperature of the earth that can influence our turn of events  

How we use energy is extraordinarily significant. Oil and coal are tests of energy that we may run out of, utilizing energy that restore themselves (wind ranches) is useful for the planet. Wind, water and sun are maintainable.

Hope this Helps (✿◡‿◡)

Answer:

Answer: D.Creating more wind farms results in a reduction of fossil fuel use

Explanation:

At 0.9 cm from the toroid's center, there is a 0.053 T magnetic field present.

the details provided;

The toroid's inner radius is 1.3 cm (0.013 m) and

its outer radius is 2.6 cm (0.026 m).

There are 1080 revolutions in the toroid.

carries a current of 2.1.

The following formula is used to compute the magnetic field at a distance of 1.95 cm from the toroid's center:

B= (μNI)/2\(\pi\)R

B=(4\(\pi\)*\(10^{-7}\))*(1080)*(2.1)/2\(\pi\)*0.0195

B=0.023 T.

The magnetic field is the area in which a magnet produces its magnetic effects. To describe how the magnetic force is dispersed in the area around and inside something magnetic in nature, we utilize the magnetic field as a tool.

To know more about magnetic field visit:-

https://brainly.com/question/14848188

#SPJ4

Answer:

The power used by the light powered by a 16.4 V battery when the current is 5.84 Amps is 95.456 Watts.

The amount of energy required to raise 1,000 liters of water to a temperature of 18°C is approximately 74.48 kW.

To calculate the energy required to raise the temperature of water, we can use the specific heat capacity of water, which is 4.18 J/g°C. However, we need to convert the volume of water from liters to grams and the temperature change from degrees Celsius to Kelvin.

Given that 1 liter of water has a mass of 1,000 grams, the mass of 1,000 liters of water is 1,000,000 grams.

Next, we need to calculate the temperature change in Kelvin. Since 18°C is equivalent to 18 + 273.15 = 291.15 K.

The formula to calculate the energy (E) is:

E = m * c * ΔT

where m is the mass of water, c is the specific heat capacity of water, and ΔT is the temperature change.

Substituting the given values into the formula, we have:

E = 1,000,000 g * 4.18 J/g°C * 291.15 K

Converting the units, we find that the energy required is approximately 74,480,000 J.

To express the result in kilowatts (kW), we divide the energy value by 1,000 to get:

E = 74,480,000 J / 1,000 = 74,480 kW.

Therefore, the energy required to raise 1,000 liters of water to a temperature of 18°C is approximately 74.48 kW.

To know more about temperature, refer here:

https://brainly.com/question/7510619#

#SPJ4

Complete question here:

How much kW energy is required to raise 1,000 liters of water to a temperature of 18 degrees?

Answer:

Nuclear fusion

Explanation:

The reaction shown in the diagram depicts a nuclear fusion.

 The reaction expression is given as:

        ²₁H   +   ³₁H     →     ⁴₂He   +   ¹₀n  + energy

This reaction is a nuclear fusion expression. Here two small lighter nuclide to form a product with an attendant emission of a neutron and energy.

The combination of lighter nuclides to form a heavier one is nuclear fusion.

Fusion is different from nuclear fission in which a heavier nuclide splits up.

Answer:

Explanation:

The density of gold is 19.3 g/cm³. Thus, you can determine the density of the unknown cube by doing the following. Get a measuring cylinder (marked in cm³) that contains a certain volume of water (preferably above average but not close to been filled up). Get a weighing balance (that can read in grams) also.

Measure the mass of the unknown stone (using the weighing balance) and record. Take the initial volume of the water in the measuring cylinder and record (in cm³) and then drop the unknown stone inside the measuring cylinder gently (avoid splashes). Record the final volume of the cylinder after the unknown stone was dropped.

Then calculate the density of the stone by using the formula; mass ÷ change in volume

The change in volume can be determined by; Final volume - initial volume

If the answer obtained from the calculation (of the density of the stone) is not around 19.3 g/cm³ (say 19.3 ± 0.2), then the stone is not gold but if it is around 19.3 g/cm³, then the stone is gold.

Answer:

V = 6720 [Lt]

Explanation:

The volume of a paralepiped can be found by means of the following expression:

V = L*W*H

where:

L = length = 14 [m]

W = width = 80 [cm] = 0.8 [m]

H = heigth = 60 [cm] = 0.6 [m]

V = volume [m³]

V = 14*0.8*0.6

V = 6.72 [m³]

Now we must apply the conversion factor of cubic meters to liters, this factor tells us that 1000 liters is equal to one cubic meter.

\(6.72[m^{3}]*1000\frac{lt}{1m^{3} } \\\)

V = 6720 [Lt]

Answer:

(i) It will take longer (75/22 times) the time to boil a given quantity of water compared to when the current is working at its rated capacity

(ii) The reasons are;

(1) For economy; most of the appliances in the home only require low power circuitry with thinner wire while a separate high power circuitry is created directly from the main supply for the high electric power rated appliances

(2) For safety; to prevent the over heating of the electric circuits when an high electric power appliance needs to be connected an high power electric power outlet has to be specified

Explanation:

(i) The power rating of the kettle = 3 kW

The voltage rating of the circuit, V = 220 V

The current rating, I = 4 A

The formula for electric power = I² × R = I × V

Therefore, we have;

Power produced = 220 V × 4 A = 880 V·A = 800 W

Hence, since the power produced is below the power rating of the electric kettle, it will take a longer time to boil a given amount of water than specified by the kettle manufacturer

The energy supplied H = V×I×t

Where:

t = Time in seconds

Therefore, we have;

3 kW = 3000 W;

3000 × t₁ = 880 × t₂

t₂/t₁ =3000/880 = 75/22

Hence the kettle will take 75/22 multiplied by the time it takes when working at rating capacity to boil a given quantity of water

(ii) This is so because the power consumption already factored in the electrical installation as well as the type of appliances utilized in the home allow for several low power rating consumption and few high power rating consumption

Therefore, for both economy and safety the electrical circuit are split to allow for the use of very thick copper or aluminium electric cables in the high power rating electric circuits to which can be plugged high electric power consuming devices such as the water heater and electric cooker

The low electric power consuming devices, such as the electric bulb and fans are connected to the low or "regular" power rating electric circuit outlets

The current required for high power and low power appliances is different and also the fuse rating required for both the appliances different, so two separate circuits are used for high power and low power appliances.

if available power is 208v three phase, and the control voltage is wired phase to ground, the control voltage, when wired phase to ground, would be approximately 120 volts.

In a three-phase electrical system with a line-to-line voltage of 208 volts, the control voltage is typically derived from the available three-phase power supply. For control circuits, the control voltage is often chosen as a lower voltage level for safety and compatibility with control devices. When the control voltage is wired phase to ground, it means that the control voltage is obtained by connecting one phase of the three-phase power supply to ground. In such a configuration, the control voltage is the line-to-ground voltage of a single phase.

In a three-phase system, the line-to-line voltage (208 volts) is higher than the line-to-ground voltage. The line-to-ground voltage is equal to the line-to-line voltage divided by the square root of 3 (approximately 1.732). Therefore, in this case, the control voltage, when wired phase to ground, would be approximately 120 volts.

Learn more about control voltage  here:

https://brainly.com/question/32241697

#SPJ11

The kinematics and Newton's second law allow us to find the height from which the block system descends is:

             y = 6.54 m

Given parameters

To find

Newton's second law gives a relationship between the net force, the mass, and the acceleration of the body.

      ∑ F = m a

Where the bold letters indicate vectors, F is the force, m the mass and the acceleration of the body.

Kinematics studies the movement of bodies, looking for relationships between position, velocity and acceleration

              y = v₀ t + ½ a t²

In the attached we have a free body diagram of the system, let's write Newton's second law.

          T - W₁ = m₁ a

         -T + W₂ = m₂ a

Let's solve the system of equations.

          W₂ - W₁ = (m₁ + m₂) a

          a = \(\frac{m_2-m_1}{m_2+m_1} \ g\)

Let's calculate

          a = \(\frac{2 -4}{ 2 +4} \ 9.8\)  

          a = -3.27 m / s²

The negative sign indicates that the heaviest body is descending.

Now we can use kinematics to find the height, as the system comes out of rest the initial velocity is zero, when he reaches the ground his height is zero.

             y = y₀ + v₀ t + ½ a t²

             0= y₀ + 0  +½ a t²          

Let's calculate

             y₀ = ½ 3.27 2²

             y = 6.54 m

In conclusion, using kinematics and Newton's second law we can find the height from which the block system descends is:

             y = 6.54 m

Learn more here:  brainly.com/question/19818185

If you change the source of wavelength to a longer wavelength (e.g. 600 nm), the distance between the zero order maximum and the third order maximum will decrease, since the numerator (λ) has increased.

The distance between the zero order maximum and the third order maximum in a diffraction pattern depends on the wavelength of the light and the size of the diffraction grating.

If you change the source wavelength from a shorter wavelength to a longer wavelength, the distance between the zero order maximum and the third order maximum will decrease. This is because the distance between the maxima in a diffraction pattern is inversely proportional to the wavelength of the light.

In mathematical terms, if 'd' is the distance between the maxima, 'λ' is the wavelength, and 'n' is the order of the maximum, then the relationship between these quantities is given by:

d = λ / (n × sinθ)

To know more about wavelength here

https://brainly.com/question/4112024

#SPJ4

The velocity of the car before the brakes were pressed was approximately 17.995 m/s. This velocity is obtained by subtracting the product of the acceleration and time from the final velocity using the kinematic equation.

To determine the velocity of the car before the brakes were pressed, we can use the kinematic equation that relates initial velocity (Vi), final velocity (Vf), acceleration (a), and time (t):

Vf = Vi + at

In this case, the final velocity (Vf) is given as 3.5 m/s, the acceleration (a) is -6.5 m/s² (negative sign indicates deceleration), and the time (t) is 2.23 seconds. We need to find the initial velocity (Vi).

Rearranging the equation, we have:

Vi = Vf - at

Substituting the given values, we get:

Vi = 3.5 m/s - (-6.5 m/s² * 2.23 s)

  = 3.5 m/s + 14.495 m/s

  = 17.995 m/s

Therefore, the velocity of the car before the brakes were pressed was approximately 17.995 m/s.

It's important to note that the direction of the velocity would be west since the car was initially driving west along Steeles Avenue and experienced acceleration in the east direction. However, since the problem does not explicitly mention the direction, we focus on the magnitude of the velocity.

The negative sign of the acceleration indicates deceleration, and the direction of the velocity is west based on the initial direction of the car.

For more such information on: velocity

https://brainly.com/question/80295

#SPJ8

Magnitude of the gravitational force of the earth on the student is  635.05 N

Mass of the Earth M = \(6 * 10^{24} kg\).

Mass of the Object m = 65 kg

Radius of the earth R = \(6.4*10^6 m\)

Force of gravitation between them, F = \(\frac{GMm}{R^2}\).

F = \(\frac{6.67 * 10^{-11} * 6*10^{24}* 65}{(6.4* 10^6)^2}\) = 635.05 N

To learn more about Gravitational force refer,

https://brainly.com/question/24783651

#SPJ1

Answer:

B

Explanation:

Gravity is also called gravitation, in mechanics, the universal force of attraction acting between all things. Gravitation is the weakest forces of all the forces.

We now know that gravity is not actually a force, but due to what?

Gravity is more accurately can be defined by the theory of relativity which is composed by Albert Einstein in 1915. This theory tells us that gravity is not a force  but as the curvature of spacetime, caused by the uneven distribution of mass, and causing masses to move along geodesic lines. In general relativity gravity is not define as force between two forces. Gravity is a force of attraction between two bodies.

So we can conclude that: Gravity is also called gravitation, in mechanics, the universal force of attraction acting between all things. Gravitation is the weakest forces of all the forces.

Learn more about Gravity:https://brainly.com/question/557206

#SPJ1

The reading on the scale is closest to 708.6 N. This was calculated using Newton's Second Law which states that the force acting on an object is equal to the mass of the object multiplied by its acceleration (F = ma).

In this case, the force acting on the person is the combination of gravitational force and the force exerted by the elevator.

1. Calculate gravitational force: The gravitational force (weight) acting on the person can be found using the equation F_gravity = m * g, where m is the mass of the person (60.0 kg), and g is the acceleration due to gravity (approximately 9.81 m/s²).

F_gravity = 60.0 kg * 9.81 m/s² = 588.6 N (Newtons)

2. Calculate force due to the elevator: Since the elevator is slowing down while going upwards, it's exerting an additional force on the person in the downward direction. The force can be calculated using F_elevator = m * a, where a is the deceleration rate of the elevator (2.00 m/s²).

F_elevator = 60.0 kg * 2.00 m/s² = 120 N (Newtons)

3. Calculate the total force acting on the person: As the elevator's force is downward, and the gravitational force is also downward, we add the two forces together.

F_total = F_gravity + F_elevator = 588.6 N + 120 N = 708.6 N (Newtons)

4. Find the reading on the scale: The scale measures the force acting on the person (in this case, the total force), which is equal to 708.6 N.

Know more about force here:

https://brainly.com/question/13191643

#SPJ11

Answer:

smaller and further from

Explanation:

Pass light through something clear and light, you'll most likely be able to see all of it's rays spread out, the "normal." Now, pass it through something dense, the amount of light will shrink, therefore be further from the "normal."

The two most used temperature scales are the Fahrenheit and Celsius (Centigrade) systems. The Rankin and Kelvin scales, two other scales, are known as the absolute scales since all molecular action ceases at their zero values.

In addition to developing the mercurial thermometer, Fahrenheit. The Fahrenheit scale was developed with the idea that the human body temperature is 100 degrees Fahrenheit, while 0 degrees Fahrenheit is the lowest temperature that could be reached by a scientist using a certain mixture.

The freezing and boiling points of water, which are given the numbers 0oC and 100oC, respectively, serve as the basis for the Celsius scale. One of the most common chemicals on earth is water. The experiment to create a freezing solution (0oF) and Mrs. Fahrenheit's average body temperature served as the foundation for the Fahrenheit scale ( 100oF )

To know more about thermometers , click on the link below:

https://brainly.com/question/29888879

#SPJ1

Answer:

jogger:  6 km

boat:  5 km

Explanation:

1/2 hr = 0.5 hr

distance = rate x time

jogger:  d = rt = (12 km/hr)(0.50 hr) = 6 km

boat:  d = (10 km/hr)(0.50 hr) = 5 km