a 100 kg football player is running toward another player at 15 m/s. how much average force (in n) needs to be applied over 2.0 seconds to bring him to a stop?

The correct answer is: D.) 22 degrees CelsiusThe formula for converting Fahrenheit to Celsius is (°F - 32) x 5/9.

At night, the temperature is 35°F, which is (35-32) x 5/9 = 1.67°C.

During the day, the temperature is 75°F, which is (75-32) x 5/9 = 23.89°C.

The temperature change on the Celsius scale is the difference between the two, which is 23.89°C - 1.67°C = 22.22°C.

So the answer is D.) 22 degrees Celsius.
To find the temperature change on the Celsius scale, first convert the initial and final temperatures from Fahrenheit to Celsius using the formula: Celsius = (Fahrenheit - 32) * 5/9.

Initial temperature in Celsius: (35°F - 32) * 5/9 = 1.67°C
Final temperature in Celsius: (75°F - 32) * 5/9 = 23.89°C

Now, find the temperature change by subtracting the initial temperature from the final temperature:

Temperature change = 23.89°C - 1.67°C = 22.22°C

Rounded to the nearest whole number, the temperature change on the Celsius scale is approximately 22 degrees Celsius. Therefore, the correct answer is:

D.) 22 degrees CelsiusThe formula for converting Fahrenheit to Celsius is (°F - 32) x 5/9.

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The force needed to raise an object without a ramp and the force needed to push it up a ramp can be used to calculate the mechanical advantage of a ramp. In this instance, 2,800 N of force is required to elevate the desk without the ramp. But when using the ramp, it can be pushed up with just 1,400 N of effort.

To determine mechanical advantage, divide the input force by the output force. In this case, the input force is 2,800 N without the ramp, while the output force is 1,400 N with the ramp. In light of this, the mechanical benefit of the ramp can be calculated as follows:

Input force minus output force is the mechanical advantage.

1,400 N x 2,800 N = mechanical advantage

Advantage mechanical = 0.5

As a result, the ramp in this situation has a mechanical advantage of 0.5. In other words, the ramp cuts down the force needed to elevate the desk by a factor of 0.5 or 1:2.

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If the air temperature remains constant, evaporating water into the air will increase the dew point and decrease the relative humidity. The dew point is the temperature at which the air becomes saturated with water vapor and condensation begins to form.

Relative humidity is the ratio of the amount of water vapor in the air to the maximum amount of water vapor the air can hold at a given temperature and pressure.

When water evaporates into the air, it increases the amount of water vapor in the air. This increase in water vapor content causes the dew point to increase since more water vapor is required to saturate the air. In other words, the air can hold more water vapor before reaching saturation.

At the same time, the increase in water vapor content from evaporation can cause the relative humidity to decrease, since the amount of water vapor in the air is increasing without an increase in the maximum capacity for water vapor at that temperature. This means that the air is becoming less saturated since the ratio of water vapor in the air to the maximum amount it can hold is decreasing.

Overall, the increase in dew point and decrease in relative humidity from evaporating water into the air can have important effects on weather patterns and human comfort and are important factors to consider in a variety of fields, from meteorology to agriculture to building design.

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The direction of the force can be determined by using the right-hand rule, where the thumb represents the direction of motion, the fingers represent the direction of the magnetic field, and the palm represents the direction of the force.

Since the direction of the induced current is opposite to the current in the wire, the net magnetic force on the frame is attractive, pulling the frame towards the wire.

Based on your question, when a metal frame is moving near a current-carrying wire, the direction of the induced current in the frame and the net magnetic force on the frame can be determined using the right-hand rule.
If the current in the wire flows upward, point your right thumb in that direction. Then, curl your fingers in the direction of the metal frame's movement. Your palm faces the direction of the induced magnetic field.
The induced current in the frame will flow in a direction that opposes the change in the magnetic field, as per Lenz's Law. To find the direction of the induced current, use the right-hand rule again with your thumb pointing in the direction of the induced magnetic field. Your fingers will curl in the direction of the induced current.
The net magnetic force on the frame depends on the direction of the induced current. If the frame moves towards the current-carrying wire, the induced current will create a magnetic force opposing the movement. If the frame moves away from the wire, the induced current will create a magnetic force attracting the frame. The exact direction of the net magnetic force depends on the specific configuration and the relative motion of the frame and wire.

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The initial moments after the Big Bang and the current universe have a few things in common like Expansion; Radiation; Structure formation; etc.

Expansion: The universe has been expanding since the Big Bang, and this expansion is still happening. The initial moments after the Big Bang were characterized by a period of rapid inflation, and this expansion has continued to shape the structure of the universe we see today.

Radiation: The universe was filled with intense radiation in the initial moments after the Big Bang, and this radiation still exists in the form of the cosmic microwave background (CMB) radiation.

This radiation is thought to have been produced about 380,000 years after the Big Bang and has been traveling through space ever since, providing us with valuable information about the early universe.

Formation of structure: The initial moments after the Big Bang set the stage for the formation of the large-scale structure of the universe we observe today, such as galaxies, stars, and planets. The tiny fluctuations in the density of matter in the early universe were amplified by gravitational attraction over time, leading to the formation of these structures.

However, there are also many differences between the early universe and the universe as it exists now. For example, the universe was much hotter and denser in the early moments after the Big Bang, and there were no stars or galaxies yet.

The universe has also undergone many complex physical processes over billions of years, such as the formation of black holes and the evolution of stars, that were not present in the early universe.

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A total of 70 joules of work is done when a 35-newton force lifts a crate to a loading dock 2 meters high.

The amount of work done can be calculated using the formula:

work = force x distance x cos(theta)

where force is the applied force, distance is the distance moved in the direction of the force, and theta is the angle between the force vector and the displacement vector.

In this scenario, the force is 35 newtons, the distance is 2 meters (the height the crate is lifted), and the angle between the force vector and the displacement vector is 0 degrees (because  the force is directly upwards and the displacement is also upwards).

Therefore, cos(Ф) = 1.

Substituting  in these values, we get:

work = 35 newtons x 2 meters x 1

work = 70 joules

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True. According to the Terminal Rating (110-14(C)(1)) in the National Electrical Code (NEC), terminals for equipment rated over 100 ampere and pressure connector terminals for conductors larger than No. 1

It must have the conductor sized according to the 75 degree C temperature rating as listed in Table 310-15(a)(16). This is to ensure that the terminals and connectors are properly sized and can handle the electrical load without overheating. The statement "Terminal Rating (110-14(C)(1)): Terminals for equipment rated over 100 ampere and pressure connector terminals for conductors larger than No. 1 shall have the conductor sized according to 75 degree C temperature rating as listed in Table 310-15(a)(16)" is True.

According to the National Electrical Code (NEC), terminals for equipment rated over 100 ampere and pressure connector terminals for conductors larger than No. 1 are required to have their conductors sized based on the 75 degree C temperature rating listed in Table 310-15(a)(16). This ensures proper conductor sizing and safe operation under the specified temperature and pressure conditions.

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Answer:

2.56 N/m

Explanation:

The force exerted by a spring is given by the equation:

[tex]F_s = kx[/tex]

where [tex]k[/tex] is the spring constant, and [tex]x[/tex] is the distance that the spring is stretched or compressed from its equilibrium.

To find [tex]x[/tex], we will simply subtract the spring's initial position from its final position:

[tex]x = 1.50 m - 0.25 m\\x = 1.25 m[/tex]

It is given in the problem that the force exerted by the spring is 3.20 Newtons. So, we can solve the equation for [tex]k[/tex] and calculate the spring constant.

[tex]k = \frac{F_s}{x} \\k = \frac{3.20N}{1.25m} \\k = 2.56 N/m[/tex]

To find the correction factor for a situation where four or more current carrying conductors are bundled together, consult Table 310.15(B)(3)(a) in the National Electrical Code (NEC).

This table provides adjustment factors for ambient temperature, conductor size, and number of conductors in a raceway or cable. The correction factor is used to adjust the ampacity of the conductors to account for the increased heat generated by the bundled conductors.

 To find the correction factor for a situation where four or more current-carrying conductors are bundled together, consult Table 310.15(B)(3)(a).

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The density of the unknown liquid is 1.52 times the density of glycerin.

The pressure at the surface of the glycerin in the left arm of the u-shaped tube is equal to the pressure at the surface of the unknown liquid in the right arm. Since both arms are open to the air, the pressure at the surface of the glycerin is atmospheric pressure. Therefore, the pressure at the surface of the unknown liquid is also atmospheric pressure.
Using the formula P = ρgh, where P is pressure, ρ is density, g is acceleration due to gravity, and h is height, we can set up two equations:
P = ρ₁gh₁ (for the unknown liquid in the right arm)
P = ρ₂gh₂ (for the glycerin in the left arm)
Since the pressure is the same in both arms and g is the same for both liquids, we can set the two equations equal to each other:
ρ₁gh₁ = ρ₂gh₂
We are given that h₂ - h₁ = 12.0 cm. Substituting h₂ - h₁ for h₁ in the equation above, we get:
ρ₁g(h₂ - 12.0) = ρ₂gh₂
Simplifying, we get:
ρ₁ = (ρ₂gh₂) / (g(h₂ - 12.0))
We are given that the height of the unknown liquid in the right arm is 35.0 cm. Substituting the given values, we get:
ρ₁ = (ρ₂ x 9.81 x 35.0) / (9.81 x (35.0 - 12.0))
Simplifying, we get:
ρ₁ = (35.0/23.0)ρ₂
So, the density of the unknown liquid is 1.52 times the density of glycerin.

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Since the two charges are symmetrically positioned with regard to the origin and have equal magnitudes but opposite signs, the location where the electric field is zero is at the origin.

Using the formula for the electric field produced by a point charge, we can determine the location on the x-axis where the electric field is zero:

[tex]E = k*q/r^2[/tex]

where r is the distance between the point charge and the location where the electric field is being measured, q is the charge of the point charge, E is the electric field, k is Coulomb's constant, and so on. The total electric field for the two charges in this issue may be determined at any location along the x-axis using the principle of superposition. The electric field vectors produced by the two charges will cancel out at some point along the x-axis because they are symmetrically positioned with respect to the origin and have opposite signs. We may determine the electric field vectors produced by each charge at various locations along the x-axis using the formula for the electric field produced by a point charge. We can determine the overall electric field at each place by combining these vectors together. We may determine the location where the electric field is zero by charting the total electric field as a function of the x-axis position. We discover that in this instance, the two charges produce identical, opposing electric fields that cancel one another out at the origin. Because of this, the origin is where the electric field is zero.

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There is no friction or very little friction between the box and the floor, the coefficient of friction between them is 0.

The equation of motion with constant acceleration to get the coefficient of friction between the box and the floor:

v = u + at

where:

v = final velocity (0 m/s, since the box stops)

u = initial velocity

a = acceleration

t = time taken to stop (2.2 s)

To solve for acceleration, we can rearrange the equation as follows:

a = (v - u) / t

The final velocity (v), resulting from the box coming to a standstill, is 0 m/s. When we enter the values, obtain:

0 = (u - 0) / 2.2

Solving for u:

u = 0 m/s

This implies that the box was not given any starting velocity and was thrown without any initial speed because the initial velocity of the box is 0 m/s. Now, we can compute the frictional force using the equation shown below:

frictional force = μ * normal force

where μ is the coefficient of friction and normal force is the force exerted by the floor on the box, which is equal to the weight of the box, given by:

weight of box = mass * acceleration due to gravity

mass of box = 10 kg (given)

acceleration due to gravity = 9.8 m/s²

So, the normal force is:

normal force = 10 kg × 9.8 m/s² = 98 N

The force that stops the box because it is sliding on a flat surface is the frictional force, often known as the force of kinetic friction. The sources of the frictional force are:

frictional force = mass of box ×acceleration × coefficient of friction

Substituting the known values, we get:

frictional force = 10 kg × a × μ

We already found that the acceleration (a) is 0 m/s², since the box comes to a stop. Therefore, the frictional force is also 0 N.

Now, can equate the frictional force to the normal force and solve for the coefficient of friction (μ):

0 N = μ × 98 N

μ = 0 N / 98 N = 0

Since, if the floor is particularly smooth or if there is another lubricant present between the box and the floor, this may occur.

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A simple test to determine the overall amount of particles of extremely small size in a water sample is the turbidity test.

The simple test to determine the overall amount of particles of extremely small size in a water sample is known as a turbidity test.

Turbidity is a measure of the cloudiness or haziness of a fluid caused by the presence of suspended particles, such as sediment, algae, or other microscopic matter.

The test involves shining a light through a water sample and measuring the amount of light that is scattered or absorbed by the particles in the water.

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The time rate of change of the electric field between the plates of the parallel-plate capacitor in air is 8.20 x 10^7 N/C/s.

A parallel-plate capacitor with circular plates of radius 2.9 cm and a separation of 1.1 mm has charge flowing onto the upper plate and off the lower plate at a rate of 6 A.

To find the time rate of change of the electric field between the plates, we can use the formula:

dE/dt = (dQ/dt) / (ε₀ * A)

Where dE/dt is the time rate of change of the electric field, dQ/dt is the rate of charge flow (6 A), ε₀ is the vacuum permittivity (8.85 × 10⁻¹² F/m), and A is the area of the circular plates.

First, calculate the area of the circular plates:

To find the time rate of change of the electric field between the plates of the parallel-plate capacitor in air, we can use the formula:

dE/dt = (I/Aε0)

Where dE/dt is the time rate of change of the electric field, I is the current flowing onto the upper plate and off the lower plate (which is given as 6 A), A is the area of the plates (which is πr^2, where r is the radius of the plates), and ε0 is the permittivity of free space (which is a constant value of 8.85 x 10^-12 C^2/Nm^2).

Substituting the given values, we get:

dE/dt = (6/(π(0.029)^2)(8.85 x 10^-12)

Simplifying this expression, we get:

dE/dt = 8.20 x 10^7 N/C/s

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D) the combined effect of spiral density waves can cause a galactic fountain.

Galactic fountains are a phenomenon where gas is ejected from the disk of a galaxy into the halo and then falls back onto the disk. The gas is heated and ionized by various processes, including winds and jets from newly-formed protostars and supernovae occurring in the halo. However, the primary mechanism that drives the gas out of the disk is the combined effect of spiral density waves, which can create areas of higher pressure and density that cause the gas to move outward. Once in the halo, the gas can cool and fall back onto the disk, contributing to the formation of new stars.

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The answer is C.) (10/9)Ï.

To convert degrees to radians, we use the formula: radians = (pi/180) * degrees

Plugging in 200 degrees, we get: radians = (pi/180) * 200

Simplifying, we get: radians = (10/9) * pi

Therefore, the answer is C.) (10/9)Ï.
To convert 200 degrees to radians, use the formula:

Radians = (Degrees × π) / 180

So, for 200 degrees:

Radians = (200 × π) / 180
Radians = (20 × π) / 18
Radians = (10/9)π

Your answer: C.) (10/9)π

Radians are a unit of measurement used to measure angles in the context of mathematics and physics. One radian is defined as the angle subtended at the center of a circle by an arc that is equal in length to the radius of the circle.

More specifically, if we have a circle with radius r, and we draw an arc that is the same length as r, then the angle formed by the two radii extending to the endpoints of the arc is 1 radian. This angle is equivalent to approximately 57.3 degrees.

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When single conductor cables comprising each phase or neutral of a circuit are connected in parallel in a cable tray, the conductors shall be installed in a parallel configuration to prevent current unbalance in the paralleled conductors due to inductive reactance.

This is important because when conductors are installed in parallel, they share the same voltage potential and therefore any inductive reactance in one conductor will affect the others. To avoid this, the conductors should be arranged so that they are equidistant from each other and run parallel to each other to minimize any inductive coupling effects. when single conductor cables comprising each phase or neutral of a circuit are connected in parallel in a cable tray, the conductors shall be installed equally spaced to prevent current unbalance in the paralleled conductors due to inductive reactance. This equal spacing ensures a balanced distribution of current and minimizes potential issues arising from inductive reactance.

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a. Venturi meter. A Venturi meter is a pressure-differential type of water meter that measures the flow rate of a fluid by creating a pressure difference through a constriction in the flow path.

It consists of a converging section followed by a throat and then a diverging section. The diameter of the throat is smaller than the diameter of the pipe, which causes the velocity of the fluid to increase as it passes through the throat.

As the fluid passes through the throat, its velocity increases while the pressure decreases due to Bernoulli's principle. This pressure difference can be measured using pressure taps located before and after the throat. By measuring the pressure difference, the flow rate of the fluid can be calculated using Bernoulli's equation.Venturi meters are widely used in various industries such as chemical, oil and gas, and

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Therefore, the ampacity of four current-carrying No. 8 THHN conductors installed in an ambient temperature of 100 degrees F is approximately 45.5 amps per conductor. The ampacity of four current-carrying No. 8 THHN conductors installed in an ambient temperature of 100 degrees F is determined by referring to the National Electrical Code (NEC) table 310.15(B)(16). For No. 8

THHN conductors, the base ampacity is 50 amps at 30°C (86°F). However, since the ambient temperature is 100°F, we need to apply a temperature correction factor.

For THHN insulation with a 90°C rating, the temperature correction factor at 100°F (38°C) is approximately 0.91. To calculate the adjusted ampacity, multiply the base ampacity by the temperature correction factor:

Adjusted Ampacity = Base Ampacity × Temperature Correction Factor
Adjusted Ampacity = 50 amps × 0.91
Adjusted Ampacity ≈ 45.5 amps

Therefore, the ampacity of four current-carrying No. 8 THHN conductors installed in an ambient temperature of 100 degrees F is approximately 45.5 amps per conductor.

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The transportation mode typically carries bulk food, mining, and chemicals is (e). rail is the correct option.

Rail ranks highest in the capacity/capability category for its ability to move the widest range of commodities and materials in significant numbers. It frequently transports bulk food, mining materials, and chemicals. The enormous carrying capacity of rail transportation makes it ideal for moving vast quantities of goods, including bulk food, mining supplies, and chemicals. Rail transportation frequently makes use of specialized railcars made for particular types of cargo, making it possible to move these commodities in huge quantities across great distances efficiently and affordably.

Additionally, due to its lower carbon emissions compared to other modes of transportation, rail transportation is often regarded as being environmentally friendly, making it a favored choice for the transportation of large and bulky products.

Therefore, the correct option is (e).

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Since the red ball attains twice the speed of the blue ball, we know that it also travels twice the distance in the same amount of time.

Since both balls have the same mass, we can use the equation:
work = force x distance
to compare the work done on each ball.
Let's call the force applied to the red ball F1 and the force applied to the blue ball F2.
We know that the red ball attains twice the speed of the blue ball, so we can write:
v1 = 2v2
Using the equation for acceleration:
a = F/m
we can rearrange to solve for the net force on each ball:
F1 = m*a1
F2 = m*a2

We can then substitute the equation for acceleration:

F1 = m*(v1/t)

F2 = m*(v2/t)

where t is the time it takes for each ball to reach its final speed.
We can then compare the work done on each ball:
work1 = F1*d
work2 = F2*d

where d is the distance each ball travels during the time it takes to reach its final speed.

d1 = 2d2
Substituting this into the equations for work:
work1 = F1*2d2
work2 = F2*d2

Dividing these two equations:
work1/work2 = (F1*2d2)/(F2*d2)
Simplifying:
work1/work2 = F1/F2

Since we know that the red ball attains twice the speed of the blue ball, we can also conclude that the net force applied to the red ball is twice that of the blue ball:

F1 = 2F2
Substituting this into the equation for work ratio:
work1/work2 = 2F2/F2
work1/work2 = 2

Therefore, the work done on the red ball is twice that of the blue ball.
When comparing the work done on the red ball to the blue ball, the work done on the red ball is four times greater than the work done on the blue ball. Since both balls have the same mass and the red ball attains twice the speed of the blue ball, the kinetic energy (which is proportional to the work done) is greater for the red ball by a factor of 2^2, as kinetic energy is calculated as (1/2)mv^2.

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The solve this problem, we need to use the formula ω² = ω₀² + 2αθ where ω is the final angular speed, ω₀ is the original angular speed, α is the angular deceleration use a negative value since it's deceleration, and θ is the angle through which the wheel has turned.

To solve this problem, we can use the following angular motion equationω² = ω₀² + 2αθ where ω is the final angular speed, ω₀ is the original angular speed, α is the angular deceleration use a negative value since it's deceleration, and θ is the angle through which the wheel has turned.ω₀ = 126 rad/s originally α = -5.00 rad/s² (angular deceleration)θ = 628 rad angle Now, plug in the values into the equation ω² = 126 rad/s² + 2-5.00 rad/s² 628 radω² = 15876 - 6280ω² = 9596To find ω, take the square root of 9596:ω = √9596 ≈ 98 rad/s So, the final angular speed after turning through an angle of 628 radians is approximately 98 rad/s. The correct answer is C 98 rad/s.

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When the accumulated count exceeds the preset count in a counter system, the correct response is that the D. counter done bit becomes true.

In this situation, the accumulated value represents the total count that has been recorded, while the preset count serves as a threshold or target value. Once the accumulated count surpasses this threshold, the counter's done bit is set to true, signaling that the desired count has been reached. This done bit is typically used to trigger other actions within a control system or to provide feedback to the operator.

It is important to note that the accumulated value is not reset to zero (A) and the preset value is not set to zero (B) when the accumulated count exceeds the preset count. These values remain unchanged unless the system is manually reset or a specific reset command is given. Furthermore, the reset state itself does not change (C) solely due to the accumulated count surpassing the preset count.

In summary, when the accumulated count exceeds the preset count, the counter done bit becomes true, providing an indication that the desired counting threshold has been reached. This signal can then be used to initiate further actions within the system or provide feedback to the operator. Therefore the correct option is D

The Question was Incomplete, Find the full content below :

When the accumulated count exceeds the preset count,the:

A)accumulated value is set to zero.

B)preset is set to zero.

C)reset changes state.

D)counter done bit is true.

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the contact lens prescribed for the patient should have a focal length of 24.0 cm, in order for the patient to clearly see objects that are just 24.0 cm away.

To calculate the focal length of the contact lens needed for the patient to clearly see objects 24.0 cm away, we can use the thin lens equation:
1/f = 1/di + 1/do
where f is the focal length of the lens, di is the distance of the object from the lens (24.0 cm in this case), and do is the distance of the image from the lens (which we want to be at infinity, since the patient needs to clearly see distant objects).
Thus, we can simplify the equation to:
1/f = 1/24.0 + 1/∞
Since 1/∞ is approximately 0, we can ignore it and solve for f:
1/f = 1/24.0
f = 24.0 cm
Therefore, the contact lens prescribed for the patient should have a focal length of 24.0 cm, in order for the patient to clearly see objects that are just 24.0 cm away.

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The weightlifter has done 900 Joules of work to move the weight over her head. Work is a measure of the energy transferred when a force is applied over a distance. In this case, the weightlifter has transferred 900 Joules of energy to the weight.

The work done by the weightlifter to move the weight over her head can be calculated by multiplying the force applied to the weight by the distance it is moved. In this case, the force applied is 500N and the distance moved is 1.8m.

So, the work done is:

Work = Force x Distance

Work = 500N x 1.8m

Work = 900 Joules

It's important to note that the weightlifter's own weight and the force of gravity also played a role in the overall work done to move the weight. The weightlifter had to overcome the force of gravity to lift the weight off the ground, and her own weight contributed to the force required to lift the weight. However, for the purpose of this calculation, we have assumed that the weight was lifted in a smooth and controlled motion without any effort or sudden movements.

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The frequency of light in a vacuum that has a wavelength of 71200 m is 4.213 kHz.

The frequency of light is obtained from the ratio of the speed of light and wavelength of light. The frequency,ν = c / λ, where c is the speed of the light in vacuum and is equal to 3×10⁸ m/s and λ is the wavelength of light.

From the given,

the wavelength of light = 71200 m

speed of light = 3×10⁸ m/s

Frequency =?

ν = c / λ

=  3×10⁸ / 71200

= 4.213 kHz.

The frequency of light in a vacuum is 4.213 kHz.

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Using everyday objects like a paperclip or a cent, monitoring the development of droplets, or using a soap bubble, one can illustrate surface tension at home or in the lab.

With a force tensiometer and a Du Noüy ring or Wilhelmy plate, surface tension can be detected. Or you might use an optical tensiometer and the pendant drop technique.

A stalagmometer is a device used to calculate surface tension using the stalagmometric method. . A stactometer or stalogometer is another name for it. A hygrometer is a type of weather instrument used to gauge the humidity level in the air.

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When the moon first formed, it was only 14,000 miles above the Earth's surface outside the Roche limit.

The distance between two celestial bodies which are held together with the force of gravity between them, is called the Roche limit or Roche radius.

The order for our moon is that,

When the moon first formed, it was only 14,000 miles above the Earth's surface outside the Roche limit.

It took only to 100 years to form.

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Two notes are sounding, one of which is 440 Hz. If a beat frequency of 5 Hz is heard, the other notes frequency is 435 Hz and 445 Hz.

The difference in frequency between the two original waves is referred to as the beat frequency. Accordingly, the smaller the beat frequency (i.e., fewer beats per second) is, the easier it is for the human ear to discern between the two frequencies. Contrarily, the faster the beat frequency and the more difficult it is to discern, the farther apart the two sine waves are in frequency, to the point where the amplitude modulation brought on by very fast beat frequencies can't truly be distinguished by the human ear. Beat frequencies that result in subjective tones and the effects they can have on the listener include multiphonics and the missing fundamental effect.

The other notes frequency is 435 Hz and 445 Hz.

This can be calculated by subtracting 5 Hz from 440 Hz. 440 Hz - 5 Hz = 435 Hz and by adding 5 Hz to 440 Hz.

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The wheel has been in motion for 8.0 s at the start of the 4.0 s interval.

To solve this problem, we can use the equations of angular motion. Since the wheel started from rest, we have:
θ = ω₀t + 0.5αt²
where θ is the angle turned, ω₀ is the initial angular velocity, α is the angular acceleration, and t is the time. Given that the wheel turns through an angle of 120 rad during a 4.0 s interval and has a constant angular acceleration of 3.0 rad/s², we can write the equation as:
120 = 0 + 0.5 × 3.0 × t²
Solve for t:
120 = 1.5t²
t² = 80
t = sqrt(80) ≈ 8.94 s
Now, this is the total time taken for the wheel to turn 120 rad from rest. Since we want to find the time at the start of the 4.0 s interval, we can subtract the interval time from the total time:
8.94 s - 4.0 s = 4.94 s
So, the wheel has been in motion for approximately 4.94 s at the start of the 4.0 s interval.

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