Explain the advantages and disadvantages of having a racecar with a large mass in reference to Newton’s 1st law of motion. Use the term inertia in your answer.

The speed is 33.43 m/s and it traveled 189.06 meters in this time.

We can use the equation of motion for an object moving at constant acceleration to determine the speed after 7.50 seconds.

"v = v0 + at" 

where "v" stands for "final speed," "v0" for "starting speed," "a" for "acceleration," and "t" for "time."

The mass and net force can be used to compute the acceleration:

a = F/m = 4.30 x 105 N/3.5 x 10⁵ kg = 1.23 m/s²

Inputting the values into the previous equation results in:

v = 27 m/s + 1.23 m/s² x 7.50 s = 33.43 m/s

After 7.50 seconds, the speed is 33.43 m/s.

b. The following formula can be used to calculate the distance covered during this period of time: d = v0t + (1/2)². 

Thus, in 7.50 seconds, the 747 covered 189.06 meters.

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Answer: They will fall at the same time

Explanation:I had a google doc about this

When air resistance is considered, the effect of the air resistance will cause the rock to fall faster than the pebble which will be delayed due to its lesser weight. In the absence of air resistance, both rock and pebble will fall down at the same time.

Free fall is a motion of an object in which the force of gravity is the only force acting upon it. A body moving upwards would not be considered to be falling. But if the body falls under the effect of the force of gravity, it is said to be in free fall.

Free fall is a type of motion in which no air resistance is considered and the force acting upon an object is only gravity. All bodies under such conditions fall with an equal rate of acceleration, regardless of their masses.

As a body falls through the air, have suffered some degree of air resistance. Air resistance is the collisions of the surface of an object with molecules present in the air. The factors that have a direct effect on the amount of air resistance are the cross-sectional area and the speed of the object.

As the rock had greater weight than the pebble in the absence of air resistance it will fall faster than the pebble.

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The astronaut's final speed with respect to the shuttle after the tank is thrown would be 2.67 m/s.

Let's first find the initial momentum of the system, which is zero because the astronaut is at rest with respect to the shuttle and the tank is thrown in the opposite direction with a speed of 12 m/s:

p_initial = m_astronaut * v_astronaut_initial + m_tank * v_tank_initial

where m_astronaut = 63 kg is the mass of the astronaut, v_astronaut_initial = 0 m/s is the initial velocity of the astronaut, m_tank = 10 kg is the mass of the oxygen tank, and v_tank_initial = -12 m/s is the initial velocity of the tank (negative because it is thrown in the opposite direction).

p_initial = 63 kg * 0 m/s + 10 kg * (-12 m/s) = -120 kg m/s

After the tank is thrown, the system experiences no external forces, so its total momentum remains constant:

p_final = m_astronaut * v_astronaut_final + m_tank * v_tank_final

Since the tank is thrown away from the astronaut with a certain momentum, the astronaut gains an equal and opposite momentum, so we can write:

p_final = -p_initial

Substituting the values of p_final and p_initial, we get:

m_astronaut * v_astronaut_final + m_tank * v_tank_final = -120 kg m/s

We also know that the tank is thrown away at a certain speed, so we can write:

v_tank_final = -12 m/s

Thus:

m_astronaut * v_astronaut_final + 10 kg * (-12 m/s) = -120 kg m/s

v_astronaut_final = (120 kg m/s - 10 kg * (-12 m/s)) / 63 kg

v_astronaut_final = 2.67 m/s

Therefore, the astronaut's final speed with respect to the shuttle after the tank is thrown is 2.67 m/s.

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The error in the estimate of acceleration due to gravity (g) is approximately -0.02π(T√(Lg)).

The formula for the period of a simple pendulum is given by:

T = 2π√(L/g)

Where:

T is the time period of the pendulum

L is the length of the pendulum

g is the acceleration due to gravity

Taking the derivative of the equation with respect to g:

d(T)/d(g) = -πL/(T√(L/g))

Using the concept of error propagation, the relative error in g (Δg/g) can be calculated as:

(Δg/g) = (ΔT/T) / (d(T)/d(g))

Substituting the given values into the equation:

(Δg/g) = (0.02) / (-πL/(T√(L/g)))

(Δg/g) = -0.02π(T/g)(√(L/g))

To obtain the absolute error in g, we can multiply the relative error by the estimated value of g:

Error in g (Δg) = (Δg/g) * g

Error in g (Δg) = (-0.02π(T/g)(√(L/g))) * g

Error in g (Δg) = -0.02π(T√(Lg))

Note that the negative sign indicates a decrease in the estimate of g due to the errors in length and time period.

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Answer:

The magnetic field.

Explanation:

The magnetic field is the area around a magnet that has magnetic force. All magnets have north and south poles.

Answer:

In 1945, the United Nations created the Universal Declaration of Human Rights (UDHR), which is a milestone document that outlines the fundamental human rights to be universally protected. The UDHR includes 30 articles that cover a wide range of rights, such as the right to life, liberty and security, freedom of speech and religion, and the right to education and work. The UDHR has been translated into over 500 languages and has served as the basis for the development of many national and international human rights laws and conventions.

Answer:

From 0 -4 seconds the acceleration is positive. (The graph is going upwards.)

From 6-10 seconds the acceleration is negative. (The graph is going downwards.)

Aluminum has a greater coefficient of thermal expansion than copper due to differences in the atomic structure and bonding characteristics of the two materials.

The coefficient of thermal expansion (CTE) is a measure of how much a material expands or contracts in response to changes in temperature. It represents the fractional change in length or volume per degree Celsius (or Kelvin) of temperature change.

Aluminum and copper have different atomic structures and bonding characteristics, which contribute to their different coefficients of thermal expansion.

Atomic structure:

Aluminum has a larger atomic radius compared to copper. The larger atomic radius means that aluminum atoms are more loosely packed and have weaker interatomic bonds compared to copper. As a result, aluminum can undergo more significant atomic movement and rearrangement when subjected to temperature changes, leading to a larger expansion coefficient.

Bonding characteristics:

Copper has a more rigid and tightly bonded crystal lattice structure compared to aluminum. Copper has a face-centered cubic (FCC) crystal structure, whereas aluminum has a face-centered cubic or hexagonal close-packed (HCP) crystal structure, depending on temperature and pressure. The more rigid bonding in copper restricts the movement of atoms, resulting in a lower coefficient of thermal expansion compared to aluminum.

Overall, the atomic structure and bonding characteristics of aluminum contribute to its greater coefficient of thermal expansion compared to copper.

The greater coefficient of thermal expansion in aluminum compared to copper is primarily attributed to differences in atomic structure and bonding characteristics. Aluminum's larger atomic radius and weaker interatomic bonds allow for more significant atomic movement and rearrangement in response to temperature changes, leading to a higher coefficient of thermal expansion.

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Answer:

The more mass an object has, the greater its gravitational field and gravity force will be.

Explanation:

gravity force = mass × gravitational field strength (g)

The more mass, the more g-force.

A net forward force as well as gravitational force pulls the marble downwards whereas frictional force slows it down.

A force is an agent which causes a change in the motion or state of an object.

Forces are of two types:

Andrew applies force on the marble causing it to move.

When Andrew pokes the marble, he gives it net forward force. As the marble rolls down the ramp, gravitational force pulls it down.

The movement of the marble is slowed down by frictional force from the ramp.

Therefore, a combination of applied force and gravitational force moves the marble forward, while frictional force slows it down.

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Answer:

Applied, Gravitational, and Frictional.

Explanation

hope it helps :)

Given,

Mass of basketball is 2 kg.

Mass of kickball is 1.32 kg

The initial velocity of the basket ball is 2.37m/s.

The final velocity of the kickball is 1.5 m/s

By conservation of momentum,

The velocity of the basketball is 1.38 m/s

The lateral area of the prism is 98 square inches and the surface area is 122 square inches.

To find the lateral area and surface area of a right rectangular prism with height 7 inches, length 3 inches, and width 4 inches, we can use the following formulas:

Lateral area = 2h(l + w)

Surface area = 2lw + 2lh + 2wh

Plugging in the given values, we get:

Lateral area = 2(7)(3 + 4) = 2(7)(7) = 98 square inches

Surface area = 2(3)(4) + 2(3)(7) + 2(4)(7) = 24 + 42 + 56 = 122 square inches

Therefore, the lateral area of the prism is 98 square inches and the surface area is 122 square inches.

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His final velocity at the end of the 2.6 seconds will be  25.48 m/s

given

time = 2.6 seconds

initial velocity = u = 0

acceleration = acceleration due to gravity = 9.8 \(m/s^{2}\)  (since , it is a free fall )

final velocity = ?

using kinematics equation

v = u + at

v = u - g*t

v = - 9.8 * 2.6 = - 25.48 m/s

His final velocity at the end of the 2.6 seconds will be  25.48 m/s in downward direction

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The trip takes a total of 1.5 hours and has an average speed of 40 mph.

To calculate the time taken for each leg of the trip, we can use the formula time = distance/speed.

For the first leg of the trip, the car travels 15 miles at a speed of 45 mph. Using the formula, we find that the time taken for this leg is 15/45 = 0.33 hours.

For the second leg of the trip, the car travels another 15 miles but at a speed of 30 mph. Using the formula, we find that the time taken for this leg is 15/30 = 0.5 hours.

To find the total time for the trip, we add the times for each leg: 0.33 hours + 0.5 hours = 0.83 hours.

To calculate the average speed for the entire trip, we use the formula average speed = total distance/total time. The total distance traveled is 15 miles + 15 miles = 30 miles. The total time taken is 0.83 hours. Plugging these values into the formula, we find that the average speed for the trip is 30/0.83 = 36.14 mph.

Therefore, the trip takes a total of 1.5 hours and has an average speed of 40 mph.

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The sun's intensity for an outer planet located at a distance 6r from the sun is 5.55 W/m². The result is obtained by using the inverse square law formula.

The Inverse Square Law formula describes the intensity of light is inversely proportional to the square of the distance. It can be expressed as

\(\frac{I_{1} }{I_{2} } = \frac{d_{2}^{2} }{d_{1}^{2}}\)

Where

Given the case the sun's intensity is 200 W/m² for an inner planet at the distance r. If an outer planet is at a distance 6r, what is the sun's intensity?

By using the inverse square law formula, the sun's intensity for an outer planet is

\(\frac{I_{1} }{I_{2} } = \frac{d_{2}^{2} }{d_{1}^{2}}\)

\(\frac{200 }{I_{2} } = \frac{(6r)^{2} }{r^{2}}\)

\(\frac{200 }{I_{2} } = \frac{36r^{2} }{r^{2}}\)

\(I_{2} = \frac{200} {36}\)

I₂ = 5.55 W/m²

Hence, the sun's intensity for a planet at a distance 6r from the sun is 5.55 W/m².

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Answer:

The speed of light is a constant, but it can accelerate by changing direction. For instance, light accelerates under the influence of gravity like every other falling object. Reflection is not a very meaningful form of acceleration since the Δt≈0, but it certainly a change in velocity.

Answer:

ok?

Explanation:

A freely falling observer  is equivalent to an inertial observer who experiences no acceleration according to the equivalence principle (option B)

The equivalence principle establishes that the gravitational force encountered in a localized region is indistinguishable from the pseudo-force perceived by an observer situated within a non-inertial (accelerated) frame of reference.

Consequently, an observer in free fall within a gravitational field undergoes no discernible acceleration, mirroring the experience of an inertial observer.

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Answer:

First, write the velocities in component f…

Explanation:

As per as calculations

Answer:

wouldn't it be 17km?

Explanation:

Since its 10km and 7km it would make 17km in total. sorry if this didnt help i suck at this stuff :/

Answer:That only applies to highly polished surfaces, eg mirrors.

If you take a high quality laser (ie with low divergence) and aim it at a wall, you can see the spot where the laser beam reaches the wall from anywhere with a direct line-of-sight to the spot where the laser beam reaches the wall. This due to micro imperfections on the surface of the wall. At a microscopic level, the wall surface is very rough and pointing in all directions.

As to why, a beam of light bounces of a highly polished surface, I can only surmise that it is essentially due to kinematics, ie the only force opposing the light beam is normal to the surface, hence there no forces along the reflective surface. Since there are no forces along the reflective surface, the speed component of light along the reflective surface remains unchanged. However, on the plane perpendicular to the reflective surface the, the light photons bounce off at the same speed at which the hit the reflective surface because the mass of the reflective surface is much much much larger than the mass of the photons, which means that the reflective surface won’t move at all. Since conservation of momentum requires that momentum after the collision be the same as the momentum before the collision then the only way for that to happen is if the velocity of the photon perpendicular to the reflective surface is of exactly the same magnitude but in the opposite direction. Vector resolution of the speed component of the reflected beam means that the angle of reflection must be the same as the angle of incidence.

Explanation:

Answer:

500 Newton itself

Explanation:

Newton's third law of motion

Answer:

the angle of the vector, using the inverse tangent function, is approximately 14.04 degrees.

Explanation:

To find the angle of a vector with given x and y components, we can use the inverse tangent (arctan) function. The formula is as follows:

Angle = arctan(y-component / x-component)

Given:

x-component = 8

y-component = 2

Using these values, we can calculate the angle as:

Angle = arctan(2 / 8)

Calculating this expression, we find:

Angle ≈ arctan(0.25) ≈ 14.04 degrees

Answer: Some elements like potassium, uranium, and thorium are naturally radioactive and give off gamma rays as they decay, but all elements can be excited by collisions with cosmic rays to produce gamma rays. The HEND and Neutron Spectrometers on GRS directly detect scattered neutrons, and the Gamma Sensor detects the gamma rays.

Explanation: searching

answer:

b. when objects attract they pull each other together and when they repel the push each other apart.

explanation:

The tip of the turbine fan blade is moving at approximately 540 meters per second.

The tip of the turbine fan blade in a turbojet engine is moving at a considerable speed. To determine its velocity, we need to consider both the linear and rotational aspects of its motion.

First, let's calculate the linear velocity. The diameter of the turbine fan blade is given as 1.8 meters, which means the radius is half of that, or 0.9 meters. The linear velocity can be determined by multiplying the radius by the rotational velocity.

In this case, the blade rotates at 300 revolutions per second, so the linear velocity is 0.9 meters (radius) multiplied by 300 revolutions per second, resulting in 270 meters per second.

Next, to find the velocity of the blade tip, we need to consider the circumference of the circle traced by the blade tip during each revolution.

The circumference is given by 2π times the radius, which in this case is 2π multiplied by 0.9 meters, equal to approximately 5.65 meters. Multiplying this value by the rotational velocity of 300 revolutions per second gives us a tip velocity of approximately 1695 meters per second.

Therefore, the tip of the turbine fan blade in a turbojet engine is moving at approximately 540 meters per second, considering both its linear and rotational velocities.

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If half of the sun's mass were to suddenly disappear, the gravitational force exerted by the sun on the planets, including Earth, would decrease.

This would cause the Earth's orbit to change, as it would no longer be held in its current position by the same gravitational force. The exact nature of this change would depend on a variety of factors, including the velocity and direction of the Earth at the time of the mass loss, and the gravitational influences of other bodies in the solar system.

However, it is likely that the Earth's orbit would become more elliptical, meaning that it would be less circular and more stretched out. This could potentially have significant implications for the Earth's climate and seasons, as well as for the stability of the entire solar system.

If half of the Sun's mass were to suddenly disappear, Earth's orbit would be affected significantly. The gravitational force between the Earth and the Sun, which keeps Earth in its orbit, would be reduced. As a result, Earth's orbital path would likely become more elliptical, causing increased variations in temperature and climate. Additionally, the Earth could potentially move further away from the Sun, leading to a colder average temperature on the planet.

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Answer:

In the lab activity, I used a virtual watershed to demonstrate how pollutants enter and flow through the watershed. I constructed food chains to show how biotic factors are related. I also predicted and modeled how human activity affected the biotic factors in an ecosystem. Based on my observations, I can conclude that biotic and abiotic factors are closely linked and that human activity that changes the environment, like pollution, can affect all the other parts of an ecosystem in a negative way.

Explanation:

When the plane is about to land the volume of the pillow after landing will be 4.26 L.

At a cruising altitude of 10 km, the atmospheric pressure is less than 0.3 atm, but the cabin pressure is maintained at 0.75 atm.

Since the travel pillow is inflatable, we can assume that its initial volume at sea level is negligible. Therefore, we can use the ideal gas law to determine the volume of the pillow after landing.

PV = nRT

where P is the pressure, V is the volume, n is the number of moles, R is the gas constant, and T is the temperature.

Initially, the pressure inside the pillow is 0.75 atm, and the temperature is the same as the cabin temperature.

When the pillow is inflated at cruising altitude, the pressure inside the pillow is also 0.3 atm, and the temperature is lower than the cabin temperature due to the adiabatic expansion of the air inside the pillow.

However, since we are ignoring the elasticity of the pillow's material, we can assume that the number of moles of air inside the pillow remains constant.

Therefore, using the ideal gas law for both initial and final conditions, we have:

P1V1 = nRT1 and P2V2 = nRT2

where subscripts 1 and 2 denote initial and final conditions, respectively.

Solving for V2, we get:

V2 = (P1V1T2)/(P2T1)

Substituting the values, we get:

V2 = (0.75 atm)(1.7 L)(216.65 K)/(0.3 atm)(288.15 K) = 4.26 L

Therefore, the volume of the travel pillow after landing is 4.26 L.

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