a cart weighing 190 pounds rests on an incline at an angle of 32°. what is the required force to keep the cart at rest? round to the thousandths place.

Answer:

U could measure it in area and in operations.

Answer:

meters, millimeters, kilometers, centimeters, inches, feet, yards, miles

Answer:

Some of the disadvantages are: The normal design of a belt conveyor is opened. If your product needs to be contained, covers and or drip pans can become expensive and cumbersome. If the material is sticky, belt cleaning can be difficult and generally not very successful.

Explanation:

The graph shown in the first option nicely plots the lion's and gazelle's velocities as a function of time, so option A is the correct answer.

Velocity is the rate of change of displacement over time.

As mentioned in the problem of running at a constant speed towards a gazelle with a standing lion as shown above.

So option A is correct.

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Answer:

a = 1.32 [m/s²]

Explanation:

To calculate this problem we can use the following equation of kinematics.

\(v_{f}=v_{o}+a*t\)

where:

Vf = final velocity = 7.2 [m/s]

Vo = initial velocity = 3.5 [m/s]

t = time = 2.8 [s]

a = acceleration [m/s²]

\(7.2=3.5+a*2.8\\2.8*a=3.7\\a=1.32[m/s^{2} ]\)

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The expression for ∑fy, representing the sum of the y-components of forces, with upward as the positive y direction, can be written as: ∑fy = F1y + F2y + F3y + ...

In this expression, F1y, F2y, F3y, and so on represent the y-components of individual forces acting on an object. The summation symbol (∑) indicates that we are adding up all the y-components of forces acting on the object. By considering the direction of each force and assigning a positive or negative sign based on whether it acts in the positive y direction (upward) or negative y direction (downward), we can determine the net y-component of the forces (∑fy). The resulting value will indicate the overall effect of the forces on the object in the y-direction.

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Answer:

Explanation:

Given parameters:

Time for speed walking  = 10min

Speed  = 13.63?

Unknown:

Distance you can speed walk  = ?

Solution:

To solve this problem, we simply apply the velocity - time equation;

 Speed  = \(\frac{distance}{time}\)  

 Distance  = speed x time

make sure you speed and time are in the same unit

 Insert the parameters and solve

The potential energy of the cat is 17.76 joules.

The kinetic energy of the cat just before hitting the ground is 84.59 joules.

Part 1:

The potential energy of the cat can be found using the formula:

potential energy = mass x gravity x height

where the mass of the cat is 3.63 kg, gravity is 9.81 m/s², and height is 0.5 meters.

Substituting these values in the formula, we get:

potential energy = 3.63 kg x 9.81 m/s² x 0.5 m

potential energy = 17.76 joules

Therefore, the potential energy of the cat is 17.76 joules.

Part 2:

The kinetic energy of the cat just before hitting the ground can be found using the formula:

kinetic energy = 0.5 x mass x velocity²

To find the velocity of the cat just before hitting the ground, we can use the equation of motion:

height = (1/2) x acceleration x time² + initial velocity x time

where height is 0.5 meters, acceleration is gravity (9.81 m/s²), time is 2 seconds, and initial velocity is 0 m/s (since the cat starts from rest).

Rearranging this equation to solve for velocity, we get:

velocity = (height - (1/2) x acceleration x time²) / time

velocity = (0.5 - (1/2) x 9.81 x 2²) / 2

velocity = -4.905 m/s (the negative sign indicates that the velocity is downward)

Substituting the mass of the cat (3.63 kg) and the velocity (-4.905 m/s) in the formula for kinetic energy, we get:

kinetic energy = 0.5 x 3.63 kg x (-4.905 m/s)²

kinetic energy = 84.59 joules

Therefore, the kinetic energy of the cat just before hitting the ground is 84.59 joules.

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Answer: 28.1

Explanation:

The total energy of the ball is the sum of its kinetic and potential energy. It is equal to 792 J. Then, the final velocity of ball when its strikes the ground is 28.1 m/s.

Kinetic energy of an object is the energy gained by its motion whereas, potential energy is stored on the object when the object is at rest.

The total mechanical energy of the ball = Ke + Pe

given, mass of the ball = 2 Kg

height h= 20 m

initial velocity = 20 m/s

Then total energy = 1/2 mv² + mgh =  2 kg  [(1/2(20 m/s)² + 9.8 m/s² ×20 m ] = 792 J.

The final velocity Vf = √(2E/m) =√(2×792 J/m)/2 Kg = 28.1 m/s

Therefore, the final velocity of the ball will be 28.1 m/s.

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Answer:

The box with a mass of 10 kilograms would have a greater amount of potential energy than the box with a mass of 4 kilograms.

Explanation:

Potential energy can be defined as an energy possessed by an object or body due to its position.

Mathematically, potential energy is given by the formula;

\( P.E = mgh\)

Where,

P.E represents potential energy measured in Joules.

m represents the mass of an object.

g represents acceleration due to gravity measured in meters per seconds square.

h represents the height measured in meters.

Let's assume the height is 5 meters.

Acceleration due to gravity, g = 10 m/s²

For box with mass of 10 kg

\( P.E = 10*10*5\)

P.E = 500 Joules.

For box with mass of 4 kg;

\( P.E = 4*10*5\)

P.E = 200 Joules.

Hence, the box with a mass of 10 kilograms would have a greater amount of potential energy than the box with a mass of 4 kilograms.

Answer:10

Explanation:acellus

Answer:

mass is something that takes up space and weight is how much mass something has

Both stars A and B will have the same brightness to the earth because luminosity is dependent on the temperature and size where A is hotter but smaller and B is bigger but colder.

There are several factors that determine the luminosity of a star namely, the size, temperature, distance and magnitude. The two main factors that determine luminosity of a star when the distance is the same are temperature and size.

When the temperature of a Star is higher than the other with equal distance from the earth the star is brighter than that with lower temperature. Also, when the size of a star is bigger, it possesses a higher surface area to absorb light and energy. This makes A and B as bright as the other.

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The best description of the bottleneck resource for a process is: It is the resource that takes the longest time.

In process management, a bottleneck refers to a point in the process where the flow of work is limited or constrained, causing a delay in the overall process. The bottleneck resource is the specific resource (such as a machine, equipment, or person) that has the longest processing time compared to other resources in the process.

The presence of a bottleneck resource can significantly impact the efficiency and throughput of the entire process. Since the bottleneck resource takes the longest time to complete its tasks, it creates a bottleneck effect by limiting the overall capacity of the process. The output of the process cannot exceed the capacity of the bottleneck resource, which can lead to waiting times, delays, and inefficiencies in the process.

Identifying and managing the bottleneck resource is crucial for optimizing process performance. Strategies such as increasing the capacity of the bottleneck resource, balancing workloads, improving efficiency, or redesigning the process flow can help alleviate the bottleneck and improve the overall productivity of the process.

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Answer:

67.5

Explanation:

d = (Vo+ v/2)t

d = (150/2)(0.9)

d = 67.5

Answer:

a

Explanation:

Taking into account factors like wind, actual airspeed, and magnetic variation, the time it takes to fly from Denton Muni to Addison is approximately 1.05 hours, which is equivalent to 63 minutes.

Wind, real airspeed, and magnetic variation can estimate flying duration from Denton Muni (area 1) to Addison (area 2).

Groundspeed determines the travel time. Wind affects the aircraft's ground speed.

Calculate the headwind or tailwind to obtain ground speed.

First, calculate the wind correction angle (WCA). The WCA is the aircraft's heading and ground track angle.

Subtracting magnetic variation from wind direction yields the WCA. 7° east magnetic variation. Therefore, the WCA is 193°.

Multiplying the wind speed (20 knots) by the sine of the WCA gives us the headwind or tailwind component.

The headwind component is 20 knots multiplied by the sine of 193°, while the tailwind component is 20 knots multiplied by 13° (180° - 193°).

Add or remove the headwind or tailwind component from the true airspeed to get groundspeed.

Assume a 15-knot headwind. Groundspeed is 110 knots minus 15 knots of headwind or 95 knots.

We divide the Denton Muni-Addison distance by the groundspeed to estimate travel time. Assume 100 nautical miles.

100 nautical miles divided by 95 knots yields 1.05 hours, or 63 minutes, of travel time.

Given a wind of 200° at 20 knots, real airspeed of 110 knots, and magnetic variation of 7° east, the predicted flight duration from Denton Muni to Addison is 1.05 hours or 63 minutes.

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Answer:

I would say the net force acting on the car is in the opposite direction of the car's motion  is correct

Explanation:

Constant speed => Zero acceleration

Since Fnet = ma, when a = 0, Fnet = 0.

The best answer here is:

"The net force acing on the car from all directions is zero."

The primary reason the moon lacks an atmosphere is due to the fact that it does not have sufficient gravity to hold onto the gas molecules that make up an atmosphere.

In order to keep an atmosphere around a planet, it is required that the planet have a sufficient amount of gravity to hold the gases in place. A planet's gravity depends on its mass. The more massive an object is, the stronger its gravitational force will be.

As a result, the gravity of a planet, which is determined by its mass and size, is what allows it to hold onto its atmosphere. The moon, on the other hand, has a much lower mass than Earth, so it has a weaker gravitational force. As a result, the moon cannot hold on to gas molecules, such as oxygen and nitrogen, which can simply drift away into space.

So, the main reason why the moon lacks an atmosphere is that it doesn't have sufficient gravity to hold onto the gas molecules that make up an atmosphere.

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Answer:

Below

Explanation:

Your mass is irrelevant....here is why:

All of your POTENTIAL energy (mgh)

           will be converted to KINETIC energy  ( 1/2 m v^2)

so

mgh = 1/2 m v^2     divide both sides by 'm' <====then 'm' is gone !

gh = 1/2 v^2            now multiply by 2

2 gh  = v^2              sqrt both sides

v = sqrt (2gh)     = sqrt  [ 2 ( 9.81)(3.4)]   = 8.2 m/s

Answer:

its c

Explanation:

The ball would curve down more sharply on Earth than on the moon.

The motion of the ball thrown forward is influenced by force of gravity. The force of gravity pulls the ball towards the center of the planet.

The motion of the ball on earth will be curved downwards due to the effect of gravity.

The motion of the ball on moon will be curved downward but less sharply due to lesser influence of gravity.

Thus, the ball would curve down more sharply on Earth than on the moon.

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The element that has 1 valence electron in its outer shell and will react with a group 17 element (also known as a halogen) in a 1:1 ratio is Potassium (K).

The correct answer is option B.

Potassium belongs to Group 1 of the periodic table, also known as the alkali metals. The alkali metals have one valence electron in their outermost shell, making them highly reactive. In the case of Potassium, it has an electron configuration of 2-8-8-1, with the valence electron being in the outermost shell.

Group 17 elements, on the other hand, are known as halogens and have seven valence electrons. They are highly reactive and tend to gain one electron to achieve a stable electron configuration of a noble gas. When reacting with alkali metals, halogens achieve a stable configuration by accepting the alkali metal's single valence electron, forming an ionic compound.

In the case of Potassium, it will react with a group 17 element in a 1:1 ratio. For example, it can react with Chlorine (Cl) to form Potassium Chloride (KCl). Potassium will lose its single valence electron to chlorine, which will gain the electron to form a stable chloride ion.

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Answer:

v=m/s m=v.s -1*3= -3 meter/second

The velocity of the elevator after 3 seconds will be equal to 3 m/s.

We have three equations of motion that can be used to calculate components such as displacement(s), initial (u) and final velocity (v), time(t), and acceleration(a). The expressions for the three equations of motion are as follows:

First Equation of Motion :

v = u + at

Second Equation of Motion :

S = ut + (1/2) at²

The third equation of motion is:

v² - u² =2aS

Given, the initial velocity (u) of the elevator is zero as the elevator is at rest initially.

The acceleration of the elevator, a = -1 m/s² moving downward.

The  final velocity of the elevator after 3 seconds will be:

v = u + at

v = (0) + (-1 m/s²) (3 s)

v = - 3 m/s

Therefore, the velocity of the elevator after 3 seconds will be equal to 3 m/s in the downward direction.

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When a basketball rolls without slipping, it possesses both translational kinetic energy and rotational kinetic energy.

Translational kinetic energy is associated with the linear motion of an object and is given by the formula:

Translational Kinetic Energy = (1/2) × mass × velocity^2

Rotational kinetic energy, on the other hand, is associated with the rotation of an object around its axis of rotation and is given by the formula:

Rotational Kinetic Energy = (1/2) × moment of inertia × angular velocity^2

In the case of a basketball rolling without slipping, its translational and rotational motion are related. When the basketball rolls, the linear velocity of its center of mass is directly related to its angular velocity.

For a basketball rolling without slipping, the relationship between the linear velocity (v) and the angular velocity (ω) is given by:

v = ω × radius

where the radius is the radius of the basketball.

Since the linear velocity and angular velocity are connected, we can rewrite the formulas for translational and rotational kinetic energy using this relationship.

Translational Kinetic Energy = (1/2) × mass × (v^2)

= (1/2) × mass × [(ω × radius)^2]

= (1/2) × mass × ω^2 × radius^2

Rotational Kinetic Energy = (1/2) × moment of inertia × (ω^2)

Comparing the two expressions, we can see that the translational kinetic energy involves the mass, angular velocity squared, and radius squared, while the rotational kinetic energy only involves the moment of inertia and angular velocity squared.

In general, the translational kinetic energy tends to dominate for objects like basketballs, where the mass is relatively large compared to the moment of inertia.

This is because the translational kinetic energy depends on the mass, which is typically much larger than the moment of inertia for most objects.

Therefore, for a basketball rolling without slipping, the translational kinetic energy is typically larger than the rotational kinetic energy.

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F2<F1, indicating that the futures contract with a longer time to maturity has a lower futures price than the contract with a shorter time to maturity when there are no storage costs and assuming a constant interest rate.

To prove that F2<F1, we can consider the present value of the futures contracts. The present value of a futures contract is given by the formula PV = F * e^(-r*t), where PV is the present value, F is the futures price, r is the interest rate, and t is the time to maturity.

Since t2 > t1, the exponent in the formula for F2 is smaller than that for F1. Assuming the interest rate r is positive, this means that

e^(-rt2) < e^(-rt1).

Since the present value is calculated by multiplying the futures price by the exponential term, we have

PV2 = F2 * e^(-rt2) and

PV1 = F1 * e^(-rt1).

Given that

e^(-rt2) < e^(-rt1),

we can conclude that PV2 < PV1, which implies F2 < F1.

Therefore, we have proven that F2<F1, indicating that the futures contract with a longer time to maturity has a lower futures price than the contract with a shorter time to maturity when there are no storage costs and assuming constant interest rates.

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The sea breezes occur during the day when land surfaces heats up faster than water surfaces.

The cooler air above the water is moving across the surface of the land to replace the rising heated air as it rises over the land is called sea breezes.

Sea breezes mostly occur during hot days i.e., summer time as there is unequal heating of land and water surfaces. The land surface get heat up first and during the day the land get heat up faster than water surfaces due to which there is high temperature and low pressure.

The winds always blows from the high pressure to low pressure or low temperature to high temperature i.e., from water to land surfaces durning day time and in night time it happens opposite the wind flows from land surfaces to water surfaces

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The sea breeze occurs during the daytime as the land masses heat up faster than water.

The breeze blowing towards the land from the sea is known as sea breeze.

Due to the differences in pressure, the air flows from high pressure areas over the sea to the low pressure areas on the land. In summer there is unequal heating of land and water masses. This results in the formation of sea breeze.

The winds always blows from the high pressure to low pressure or low temperature to high temperature i.e., from water to land surfaces durning day time and in night time it happens opposite the wind flows from land surfaces to water surfaces.

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Answer:

Energy transfer is the movement of energy from one location to another. Energy transformation is when energy changes from one type to another. While energy can be transferred or transformed, the total energy always remains the same.

Explanation:

The question addresses the stability of the atmosphere and the factors that determine convective stability or instability. It also explains the difference between the adiabatic lapse rate of dry air and wet saturated air.

a) The stability of the atmosphere is determined by the temperature profile and relative densities of the air cell and atmosphere. If the temperature of the surrounding atmosphere decreases with altitude at a rate greater than the adiabatic lapse rate of the air cell, the atmosphere is considered convectively stable.

In this case, the air cell will return to its original position. Conversely, if the temperature of the surrounding atmosphere decreases slower than the adiabatic lapse rate of the air cell, the atmosphere is convectively unstable. The air cell will continue moving in the same direction.

b) The adiabatic lapse rate refers to the rate at which temperature decreases with altitude for a parcel of air lifted or descending adiabatically (without exchanging heat with its surroundings). The adiabatic lapse rate of dry air is higher (around \(9.8^0C\) per kilometer) compared to the adiabatic lapse rate of wet saturated air (around 5°C per kilometer).

This difference arises because when water vapor condenses during the ascent of saturated air, latent heat is released, reducing the rate of temperature decrease. A diagram can illustrate the difference between the two lapse rates, showcasing their respective slopes.

c) When wet unsaturated air rises from the ocean surface, its temperature decreases at a rate equal to the dry adiabatic lapse rate. However, if the ambient lapse rate (temperature decrease with altitude) is higher than the adiabatic lapse rate for dry air, a temperature inversion layer forms at higher altitudes.

In this inversion layer, the temperature increases with altitude instead of decreasing. A schematic diagram can depict the temperature changes of the wet air in comparison to the ambient temperature, showing the inversion layer.

Cumulus clouds form at the altitude where the rising moist air reaches the level of the temperature inversion layer. These clouds are formed due to the condensation of water vapor as the air parcel cools to its dew point temperature.

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The solar constant at Jupiter is approximately 33 W/m². Given this solar constant, additional calculations are required to determine the surface temperature of Jupiter, including consideration of emissivity, the Stefan-Boltzmann constant, and other factors.

The solar constant is the amount of solar electromagnetic radiation received at the outer atmosphere of a celestial body, typically measured in watts per square meter (W/m²). Given that the solar constant at Earth is 1,360 W/m², we can calculate the solar constant at Jupiter, which is 5.2 times as far from the Sun as Earth.

The solar constant follows the inverse square law, which states that the intensity of radiation decreases with the square of the distance from the source. Therefore, the solar constant at Jupiter can be calculated using the following equation:

Solar constant at Jupiter = Solar constant at Earth * (Distance from the Sun at Earth / Distance from the Sun at Jupiter)²

Solar constant at Earth = 1,360 W/m²

Distance from the Sun at Earth = 1 AU (approximately 149.6 million km)

Distance from the Sun at Jupiter = 5.2 AU

Substituting these values into the equation, we have:

Solar constant at Jupiter = 1,360 W/m² * (1 AU / 5.2 AU)²

= 1,360 W/m² * (1/5.2)²

≈ 1,360 W/m² * 0.035256

≈ 47.93 W/m²

Therefore, the solar constant at Jupiter is approximately 47.93 W/m². Rounded to the nearest whole number, the solar constant at Jupiter is 48 W/m².

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The amount of current passing through the point is 1 A

The amount of current passing through the point can be calculated using the formula below.

⇒ Formula:

⇒ Where:

⇒ Make "i" the subject of the equation.

From the question,

⇒ Given:

⇒ Substitute these values into equation 2

Hence, The amount of current passing through the point is 1 A.

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