The ideal mechanical advantage of an inclined plane is 3.5, and its efficiency is 0.6. What is the mechanical advantage of the inclined plane?

The ball hits the ground with a velocity of 19.6 m/s and it takes approximately 2.02 seconds for the ball to fall.

To determine the velocity the ball hits the ground at, we can use the equation v = gt, where g is the acceleration due to gravity, approximately 9.8 m/s². Since the ball falls for 2 seconds, the velocity is given by v = 9.8 m/s² * 2 s = 19.6 m/s. Therefore, the ball hits the ground with a velocity of 19.6 m/s.

To determine the time it takes for the ball to fall, we can use the equation h = (1/2)gt², where h is the height and t is the time. Rearranging the equation, we have t = √(2h/g). Substituting the given height of 20 m, the time is t = √(2 * 20 m / 9.8 m/s²) = √4.08 s ≈ 2.02 s. Therefore, the time for the ball to fall is approximately 2.02 seconds.

Answer

Friction between the wheels and the ground, normal force, and friction force in the brakes.

Explanation

A truck moves on the surface simply because the driving force is greater than frictional force. The is always the normal force acting perpendicularly on the ground. The frictional force will be applying in two areas that is in the brakes and between the road and the wheels.

So, the forces exerted on the object are; friction and the normal force.

Final answer:

The pram starts moving when the applied force reaches 75 N due to static friction, and then it can be kept moving with a force of 37.5 N due to kinetic friction. The coefficients of static and kinetic friction are 0.75 and 0.375, respectively.

Explanation:

When the pram's brakes are locked, it requires a certain amount of force to overcome the static friction and get it moving. According to the question, the pram starts moving when the applied force is three-quarters of the normal force, which is 100 N.

Therefore, the force required to start moving the pram is (3/4) × 100 N = 75 N. Static friction is what prevents the pram from starting to move until this force is applied.

Once the pram starts moving, the force required to keep it moving drops to half of the force required to start moving it, which is (1/2) × 75 N = 37.5 N, indicating the kinetic friction between the pram and the surface is now in effect.

The coefficient of static friction (μs) is calculated using the formula μs = (force of static friction)/(normal force) = 75 N / 100 N = 0.75. Similarly, the coefficient of kinetic friction (μk) = (force of kinetic friction)/(normal force) = 37.5 N / 100 N = 0.375.

If the acceleration of an object is negative, the object must be slowing down, which is true, as acceleration is the rate at which an object changes its velocity, if the acceleration is negative, it means that the velocity is decreasing over time.

Acceleration is a vector quantity that describes the rate at which an object's velocity changes and is the derivative of velocity with respect to time, so if the acceleration is negative, it means that the velocity is decreasing with respect to time. and can happen if the object is moving in the opposite direction from its initial velocity. This can be described by taking an example: if a car is moving forward with a velocity of 30 meters per second and its acceleration is -5 meters per second squared, it means that its velocity is decreasing at a rate of 5 meters per second.

Hence, if the acceleration of an object is negative, the object must be slowing down, which is true.

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Approximately 0.0305 wine bottles can be purged with the argon in the canister.

Let's go through the calculations step by step:

Given:
- Pressure (\(P\)) = 1.26 atm
- Volume (\(V\)) = 0.75 L (converted from 750.0 ml)
- Temperature (\(T\)) = 283 K
- Ideal Gas Constant (\(R\)) = 0.0821 L·atm/(mol·K)

Now, use the ideal gas law to find the number of moles [tex](\(n\)):\[ n = \frac{PV}{RT} \][/tex]

[tex]\[ n = \frac{(1.26 \, \text{atm}) \times (0.75 \, \text{L})}{(0.0821 \, \text{L·atm/(mol·K)}) \times (283 \, \text{K})} \]\[ n = \frac{0.945}{23.2263} \]\[ n \approx 0.0408 \, \text{mol} \][/tex]

Now, let's assume that the argon canister contains pure argon, and we need to find out how many moles of argon are in a wine bottle. Argon's molar mass is approximately 39.95 g/mol.

[tex]\[ \text{Moles of argon in a wine bottle} = \frac{\text{Molar mass of argon} \times \text{Volume of the bottle}}{\text{Molar volume at STP}} \]\[ \text{Moles of argon in a wine bottle} = \frac{(39.95 \, \text{g/mol}) \times (0.75 \, \text{L})}{22.4 \, \text{L/mol}} \]\[ \text{Moles of argon in a wine bottle} \approx 1.34 \, \text{mol} \][/tex]

Finally, to find the number of wine bottles that can be purged with the argon in the canister:

[tex]\[ \text{Number of bottles} = \frac{\text{Total moles in canister}}{\text{Moles in one bottle}} \]\[ \text{Number of bottles} = \frac{0.0408 \, \text{mol}}{1.34 \, \text{mol/bottle}} \]\[ \text{Number of bottles} \approx 0.0305 \][/tex]

Therefore, approximately 0.0305 wine bottles can be purged with the argon in the canister.

The wavelength of light emitted when an electron in a hydrogen atom transitions from n = 5 to n = 2 is 434 nm, which falls within the blue spectrum.

When the electron in a hydrogen atom moves from n = 5 to n = 2, light with a specific wavelength is emitted. This transition falls under the Balmer series, which includes the transitions of electrons from higher energy levels to n = 2. The specific wavelengths of the Balmer series for n = 3 to n = 2 is 656 nm (red), for n = 4 to n = 2 is 486 nm (green), for n = 5 to n = 2 is 434 nm (blue), and for n = 6 to n = 2 is 410 nm (violet). Therefore, the wavelength of light emitted when an electron transitions from n = 5 to n = 2 is 434 nm.

This problem can be answered using the equation below:

c = frequency x wavelength

where: c is the speed of light, which is equal to 3.00 x 10^8 m / s 

frequency = c / wavelength 
= (3.00 x 10^8m /s) / (2.40 x 10^-5 cm x 1 m /100cm)

= (3.00 x 10^8 m/s) / 2.40 x 10^-7m 

= 1.25 x 10^15/s 1 / s = 1Hz 

Frequency = 1.25 x 10^15Hz

An insulated lunch bag uses materials that slow down heat transfer.

Importance of Features in Insulated Containers

An insulated lunch bag keeps food warm by utilizing materials that slow down heat transfer, complying with the principles of thermodynamics. To understand which features are most important in minimizing the rate of a hot beverage cooling, we need to consider the mechanisms of heat transfer: conduction, convection, and radiation. A metal lining might conduct heat, leading to quicker heat loss, unless it's part of a vacuum layer such as in a thermos. Insulating cup material, on the other hand, is crucial as materials like polystyrene or foam are poor conductors of heat and therefore reduce heat loss through conduction. The importance of a lid can't be overstated because it traps hot air and reduces heat loss through convection.

Answer:

The correct answer is A)practicing dentist

Explanation:

Hello!

Let's solve this!

The American Dental Association (ADA) is an association of practicing dentists. They are dedicated to promoting dental health and giving assistance to those who need it.

They also give recommendations and talks about oral health.

The correct answer is A)practicing dentist

Friction is a force that exists between two surfaces in contact. Some of the applications of friction in our everyday lives include;

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The problem involves the principles of projectile motion. The ball thrown upward reaches its peak in 2.5 seconds. The ball dropped from the building cover 15 meters in about 1.75 seconds. Therefore, after the peak, the first ball will take an additional 0.75 second to descend to the point where both balls are at the same height, about 3.25 seconds from the start.

This physics problem involves applying the principles of projectile motion. We start by calculating the time it takes for the ball thrown upward to reach its peak. Since acceleration acting against the motion of the first ball is gravity (9.8 m/s²), using the formula final velocity = initial velocity - (acceleration* time), and since the final upward velocity at the top is 0, we calculate the time it takes the throw up ball to peak as 2.5 seconds (0 = 25m/s - 9.8m/s² * t).

Next, we calculate the time it takes for a ball to fall 15m from rest (assume the drop from the building begins from rest). We use the formula h = 0.5*g*t² which we rearrange to solve for time, yielding t=√(2h/g). Using this formula with h = 15m, we get t ≈ 1.75 seconds.

Therefore, the ball thrown upwards must start to descend after reaching peak so that both balls meet at the same height. Subtracting the two times, we get 2.5 seconds - 1.75 seconds = 0.75 second. Ball 1 will take 0.75 seconds to descend so that both balls reach the same height at the same instance. So, after approximately 3.25 seconds from the start of projectile motion, the two balls will be at the same height.

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Final answer:

Scenario C correctly describes resonance, where a pipe open at both ends has a length equal to half the wavelength of the sound from the tuning fork, allowing for a standing wave and resonant sound.

Explanation:

The scenario that accurately describes a condition in which resonance can occur is scenario C: A pipe's length is equal to 1 ⁄ 2 of the wavelength of the sound waves produced by a tuning fork vibrating over one end of the pipe that's open at both ends. In this case, the half-wavelength of the sound matches the length of the pipe, allowing a standing wave to be set up with antinodes at both ends and a node in the middle. This results in constructive interference and a resonant amplification of the sound.

Streets and highways implement speed limits, not velocity limits, as speed is concerned with only how fast an object is moving, while velocity includes both speed and direction. Imposing velocity limits is impractical as the direction of a moving vehicle continuously varies. Speed limits are enforced to regulate the speed of vehicles, thereby ensuring road safety.

Streets and highways have speed limits instead of velocity limits because speed concerns only the magnitude of movement while velocity includes both speed and direction. Speed is a scalar quantity, meaning it involves only magnitude. On the other hand, velocity is a vector quantity, taking into account both the speed of an object and its direction of motion.

For instance, when a vehicle runs through an intersection without regard to the speed limit, a traffic signal can make the vehicle slow down. This highlights the need for enforcing speed limits.

The final velocity of a vehicle depends on both the magnitude of acceleration and the distance it covers. A vehicle going twice its speed doesn't stop exactly at twice the distance but goes much further before stopping, as exemplified by reduced speed zones near schools. This concept reinforces the necessity of speed limits to ensure public safety and reduce road accidents.

In conclusion, while speed refers to the rate at which an object moves, velocity refers to both the rate and direction of an object's movement. It's impractical to impose velocity limits because direction varies continuously for a car in motion, hence, speed limits are established to regulate the rapidness of vehicles, ensuring road safety.

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Answer:

D.  the density of the surrounding air and the density of water.

The buoyancy depends on D. the density of the surrounding air and the density of water.

be aware of how the buoyant pressure most effective depends on the density of the fluid ρ in which the object is submerged, the acceleration due to gravity g, and the quantity of the displaced fluid V f V_f Vf​V, start subscript, f, quit subscript. fairly the buoyant force doesn't rely upon the general depth of the item submerged.

the tendency of a frame to glide or to upward push whilst submerged in a fluid trying out an item's buoyancy.  chemistry: the electricity of a fluid to exert upward pressure on a frame positioned in it the buoyancy of water also : the upward force exerted.

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Answer:

Acceleration is given by the formula :

a = (v - u)/t

a is the acceleration , u is the initial velocity , v is the final velocity , t is the time in seconds

It measures 7,926 miles (ca. 12,756 km) in diameter (the distance from one side to the other via the centre of the Earth) (about 12,756 kilometres). When the diameter of Earth is calculated between the North and South Poles, it is somewhat smaller at 7,907 miles (ca. 12,725 km).

Joseph Louis Lagrange, a mathematician, developed the so-called Lagrangian points, one of which is L2. Lagrangian's points are places in space where the interaction between a body's orbital motion and gravity forces is balanced. As a result, spaceships can use them to “hover.”

Therefore, The gravity at the equator would be zero if the earth were roughly 36,000 km in circumference, the same mass, and the same length of day. This is where geostationary orbits are located.

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Final answer:

To find the point where the Earth's gravitational acceleration is 1/40 of the surface value, we use Newton's law of gravitation and solve for r', yielding a distance of approximately 40225 km from the Earth's center.

Explanation:

To determine the distance from the Earth's center to a point where the gravitational acceleration is 1/40 of its value at the Earth's surface, we can use the law of universal gravitation. The force of gravity according to Newton's law of gravitation is given by F = GMm/r², where G is the gravitational constant, M is the mass of the Earth, m is the mass of the object, and r is the distance from the center of the Earth.

The gravitational acceleration g at the surface of the Earth is g = GM/r². If we want to find the point where this acceleration is 1/40 of its surface value g0, we set g = g0/40, which leads to GM/(r')² = GM/(R² * 40), where R is the radius of the Earth and r' is the new distance from the Earth's center. Solving for r', we get r' = R * √40. Using the mean radius of the Earth R ≈ 6371 km, we find:

r' ≈ 6371 * √40 km ≈ 6371 * 6.32 km ≈ 40225 km.

This means the distance from the Earth's center to the point where gravitational acceleration is 1/40 of its surface value is approximately 40225 km.