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The total lift capacity of a balloon is determined by the amount of lift generated by the hot air or other lighter-than-air gas inside it.

The buoyancy force of a spherical balloon filled with helium is equal to the weight of the helium (Fb = mhg), where mh is the mass of helium, and g is the acceleration due to gravity. The total lifting force (Ft) of the balloon is equal to the buoyancy force of the helium plus the weight of the balloon structure (Ft = Fb + mb g), where mb is the mass of the balloon structure. Therefore, the total lifting force of the balloon is:

\(Ft = mhg + mb g\)

The maximum cargo mass (mc) that can be lifted by the balloon is equal to the total lifting force divided by the acceleration due to gravity:

\(mc = \frac{Ft}{g} =\frac{ (mhg + mb g)}{g} \\ = mh + mb\)

For a balloon with a radius of 7.15 m, filled with helium and a structure mass of 950 kg, the maximum cargo mass that can be lifted is:

\(mc = mh + mb = 0 + 950 kg = 950 kg\)

Threrefore, the total lifting force of the balloon is:950kg

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complete question:A spherical balloon has a radius of 7.15 m and is filled with helium. How large a cargo can it lift, assuming that the skin and structure of the balloon have a mass of 950 kg? Neglect the buoyant force on the cargo volume itself.

Speed of the proton = v = 3 x \(10^{6}\) m/s

Angle between the velocity and magnetic field = 37°

magnitude of magnetic field = B = 0.3T

⇒ The magnitude of the magnetic field of the proton:-

    Using the relation F = q ( V x B) we can find the force

     F = q ( V x B ) can also be written as :-

     F = q x V x B x sin∅ , substituting B and V in this equation ,

     F = q x ( 3 x \(10^{6}\) m/s) x ( 0.3T) sin(37°)

     We know the charge of the proton (q)  = 1.6 x \(10^{-19}\)c

      F =  (1.6 x \(10^{-19}\))  x ( 3 x \(10^{6}\) m/s) x ( 0.3T)  x sin(37°)

         = 1.44 x \(10^{-13}\) x sin(37°)

         = 8.899 x \(10^{-14}\) N

⇒ To find the acceleration of the proton :-

  Now we know the value of the Force . So, we can use the relation

      \(f = m x a\)   to get the acceleration

     \(a = \frac{f}{m}\) = \(\frac{8.899 x 10^{-19}N }{1.6 x 10^{-27}kg }\) = 5.561 x \(10^8\) m /s

 ∴   the acceleration of proton  = 5.561 x \(10^8\) m /s

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Answer:

The total momentum of a system is conserved only when the system is closed.

Explanation:

Answer:

59F

Explanation:

Given parameters:

Temperature in °C  = 15°C

Unknown:

Temperature in Fahrenheit scale  = ?

Solution:

To solve this, we use the conversion equation below;

       F  = (C x 1.8)  + 32

C is the temperature in celcius;

    F = (15 x 1.8) + 32  = 59F

The wavelength of visible light with a frequency of 7.6 x 10^14 Hz is approximately 394 nm.

To find the wavelength, we can use the formula: speed of light (c) = wavelength (λ) x frequency (f). The speed of light is approximately 3 x 10^8 m/s. Rearrange the formula to solve for wavelength: λ = c / f.
Plugging in the values, we get: λ = (3 x 10^8 m/s) / (7.6 x 10^14 Hz).

This gives us a wavelength of 3.95 x 10^-7 m.

To convert it to nanometers, we use the conversion factor: 1 nm = 10^-9 m. So, λ = (3.95 x 10^-7 m) / (10^-9 m/nm) = 394 nm (rounded to the nearest integer).

Summary: The wavelength of visible light with a frequency of 7.6 x 10^14 Hz is approximately 394 nm.

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Answer:

the answer is 4m/ s²

hope this helps love!! <3

Answer:

Remember the equation:

F = m*a

where F is force, m is mass and a is acceleration.

If we have F constant. and we want that increases, then we can have the case where m decreases.

The mass can decrease in cases like a rocket, where as the fuel of the rocket consumes, the mass of the rocket decreases and the acceleration increases.

b) The cases where a constant force results in a constant acceleration of zero, is when the force is canceled, an example of this is the constant force of the gravity in all the objects. The objects that are in the ground are being affected by this force, but the gravitational force is canceled with the normal force of the ground. Then we have a constant force that does not cause any acceleration.

Answer:

The thermal energy of the system is the average kinetic energy of the system's constituent particles due to their motion. The total internal energy of the system is the sum of the kinetic energies and the potential energies of its constituent particles.

The mass of ball 1 is 0.43 kg.

The mass of ball 1 is calculated by applying the principle of conservation of linear momentum as shown below.

m₁u₁  +  m₂u₂ = m₁v₁  + m₂v₂

where;

99m₁ + 0.55 (0) = m₁(0) + 0.55 (78 )

99m₁  = 42.9

m₁  = 42.9 / 99

m₁  = 0.43 kg

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Answer:

A

Explanation:

potential energy is usually at rest at the highest point in comparason to the ground

Molly's experiment involved kicking a soccer ball with varying amounts of force and observing the resulting change in the ball's motion.

Newton's three laws of motion can help explain how the force of Molly's kicks affected the ball's movement.

Newton's first law of motion states that an object at rest will stay at rest and an object in motion will stay in motion with a constant velocity unless acted upon by an unbalanced force. In this experiment, the soccer ball was at rest before each kick, so the force of Molly's kicks acted as an unbalanced force, causing the ball to accelerate and move. The greater the force of her kick, the greater the acceleration and resulting distance the ball traveled.

Newton's second law of motion states that the acceleration of an object is directly proportional to the force applied and inversely proportional to its mass. In this case, the mass of the soccer ball remained constant, but the force of Molly's kicks varied. As a result, the acceleration of the ball was directly proportional to the force of her kick.

Finally, Newton's third law of motion states that for every action, there is an equal and opposite reaction. When Molly kicked the soccer ball, the ball exerted an equal and opposite force back on her foot, which is why she felt the impact of the kick.

Energy transfer also played a role in this experiment. When Molly kicked the ball, she transferred energy from her foot to the ball. The greater the force of her kick, the more energy was transferred to the ball, resulting in a greater distance traveled.

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Answer:

the angular acceleration of the gate is approximately 1.61  \(\frac{rad}{s^2}\)

Explanation:

Recall the formula that connects the net torque with the moment of inertia of a rotating object about its axis of rotation, and the angular acceleration (similar to Newton's second law with net force, mass, and linear acceleration):

\(\sum \tau_1=I\,\alpha\)

In our case, both forces contribute to the same direction of torque, so we can add their torques up and get the net torque on the gate:

\(\tau_{net}=(20*2+30*3.5) \,N\,m=145\,\,N\,m\)

Now we use this value to obtain the angular acceleration by using the given moment of inertia of the rotating gate:

\(\sum \tau_1=I\,\alpha\\145\,\,N\.m=(90\,\,kg\,m^2)\,\alpha\\\alpha= \frac{145}{90} \frac{rad}{s^2} = 1.61\, \frac{rad}{s^2}\)

Answer:

Explanation:

like charges repel each other if one group of electrons has more mass it will push the other smaller mass of electrons away

As stronger winds cause waves to grow larger, the amount of energy lost to friction increases as the wind moves over the ocean

Friction is a force that prevents two solid objects from rolling or sliding over one another. Although frictional forces, such as the traction required to walk without slipping, might be advantageous, they also provide a significant amount of resistance to motion.

Friction is defined as the resistance that results when surfaces rub together or the tension or disquiet that is caused when two persons of different opinions or ideas come together. When Republicans and Democrats meet to talk politics, it can cause conflict.

The imperfections on the two surfaces in contact are what produce friction. Even the smoothest surfaces include tiny abnormalities, and when two surfaces interact with one another, these irregularities cause friction. The friction increases as the imperfections get bigger.

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Answer:

UR ANSWER IS WAVELENGTH

The velocity of the two objects velocity after colliding is B 1.0 m/s to the right.

To determine the velocity of the two objects after colliding, we need to consider the conservation of momentum. Since the masses of objects X and Y are the same, let's call their mass "m."

Before collision, the momentum of object X is m(5.0 m/s) and the momentum of object Y is m(-3.0 m/s), as it moves to the left. The total initial momentum is m(5.0 m/s) + m(-3.0 m/s) = m(2.0 m/s).

After collision, the objects stick together, so their combined mass is 2m. To find their final velocity, we'll divide the total initial momentum by their combined mass: (m(2.0 m/s))/(2m).

The mass "m" cancels out, and we're left with a final velocity of 1.0 m/s to the right. Therefore, the correct answer is B 1.0 m/s to the right.

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Two positive points charges repel each other with force 0.36 N when their separation is 1.5 meter . Then the force exerted by two charges when the distance is 1.0 meter is 0.8 N.

Calculation:

R1 = 1.5 meter

R2 = 1 meter

F1 = 0.36 N

F1/F2 = R2^2/R1^2

F2 = R1^2/R2^2 × F1

F2 = 2.25 / 1 × 0.36

F2 = 0.81

Electrostatic force is type of force which act between two charges it is  repulsive or attractive in nature.  If both charge in same type then it will be repulsive and when both are in opposite nature then it will be attractive in nature.

Mathematically,

F = k× Q1× Q2/r^2

So,

In above problems

R1 = 1.5 meter

R2 = 1 meter

F1 = 0.36 N

F1/F2 = R2^2/R1^2

F2 = R1^2/R2^2 × F1

F2 = 2.25 / 1 × 0.36

F2 = 0.81

Therefore, Two positive points charges repel each other with force 0.36 N when their separation is 1.5 meter . Then the force exerted by two charges when the distance is 1.0 meter is 0.8 N.

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Using the concepts of motion, we got that 0.816m is the maximum vertical height the box will reach if its initial velocity at the bottom of the ramp is 4.0 m/s.

We use Newton`s third equation of motion,

v² -u²=2aS---------(eq1)

where

v is the final velocity, and u is the initial velocity and a is the acceleration of the object and S is the displacement of the object.

We know, that at the maximum height, final velocity will be =0

Acceleration will be acceleration due to gravity(g)=9.8m/sec² .

Putting the values in (eq1)

=>0-(4)² = 2×(-9.8)×S

=>2×9.8×S = 16

=>S = [(16)/(2×9.8)]

=>S = 8/9.8

=>S =0.816m

Hence, the the maximum vertical height the box will reach if its initial velocity at the bottom of the ramp is 4.0 m/s is 0.816m

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Answer:

yes it is true

Explanation:

Answer:

5m/s²

Explanation:

Initial Velocity= 40m/s

Final Velocity=60m/s

Time = 4s

a=(v-u)/t

a=60-40/4

a=20/4

a=5m/s²

Galileo's observation of the phases of Venus provided evidence that the Ptolemaic model of the solar system was incorrect. In the Ptolemaic model, Venus was supposed to orbit the Earth in a circular path.

However, Galileo observed that Venus went through a full set of phases, similar to the phases of the Moon, indicating that Venus must be orbiting the Sun and not the Earth. This observation was consistent with the heliocentric model of the solar system proposed by Copernicus, in which the planets orbit the Sun.

Galileo's observations of the moons of Jupiter and the sunspots also supported the heliocentric model and challenged the Ptolemaic model of the universe.

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Galileo's observation of Venus' changing phases proved that the Ptolemaic model, which suggested that Venus orbited Earth, was incorrect.

Galileo's observations of the phases of Venus played a significant role in proving that the Ptolemaic model of the solar system was incorrect.

According to the Ptolemaic model, Venus should always appear either in a crescent or gibbous phase, similar to the phases of the moon. However, Galileo observed that Venus went through a full set of phases, ranging from a crescent to a full disk and back to a crescent again, just like the moon.

This observation was only possible if Venus orbits the Sun and not the Earth, as the Ptolemaic model suggested. The phases of Venus provided strong evidence that the Sun, not the Earth, was at the center of the solar system. This observation supported the heliocentric model of the solar system proposed by Copernicus and challenged the geocentric model proposed by Ptolemy.

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The Earth moves 948,000,000 km in one year. The result is obtained by multiplying the average speed by the time. It is also written by the significant figure rules.

Average speed is the overall speed of a moving object during a given amount of time. It can be expressed as

Avg speed = Total distance covered / Total time taken

The Earth orbits around the sun with the linear speed of 30 m/s. If it moves for 3.16 × 10⁷ seconds, find the total distance sing correct number of significant figures!

Using the formula above, the total distance is

= Avg speed × total time taken

= 30 × 3.16 × 10⁷

= 94.8 × 10⁷ km

= 948,000,000 km

In multiplication of significant figures, the result is the least number of significant figures.

The result should have only 2 significant figures.

It is 948,000,000 km.

The underlined number is the last significant number.

Hence, in one year, the Earth moves 948,000,000 km.

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Answer: 24.37 m/s/s [forward] = a

Explanation:

First, find mass with the Fgrav formula.

Fgrav=mg

6996=m(9.8)

713.88 kg

Then, plug the answer into Newton's second law formula.

Fnet = ma

1.74e4 = (713.88)a

(1.74e4)/(713.88) = a

24.37 m/s^2 = a

Through brain imaging, we have observed that men process emotions differently.

Brain imaging studies have revealed that there are some differences in how men and women process emotions. While it is important to note that these differences are not absolute and there is significant individual variation, research suggests that certain brain regions involved in emotional processing may show variations between genders. For example, studies have found that men may rely more on the amygdala, a brain structure associated with the processing of emotional stimuli, while women may exhibit greater involvement of the prefrontal cortex, which is involved in emotional regulation and decision-making.

It's essential to approach these findings with caution, as emotions are complex and influenced by various factors including social and cultural contexts. The observed differences in brain processing of emotions between men and women should be seen as part of a broader understanding of emotional experiences rather than definitive conclusions.

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Explanation:

For your experiment, you will use a tin cup, a paper cup, and a polystyrene foam cup to hold the ice.  If you put the same amount of ice at the same temperature in each container, which material do you think will allow the ice to melt the fastest?

Answer:

\( \huge \boxed{ \boxed{2 + \sqrt{3}}} \)

Explanation:

The mass of an object indicate the amount of matter it contains, and the weight is a force that results from the action of gravity on the mass of the object.

When we are referring to the amount of matter that a body or an object contain we should use the magnitude of the mass and not the weight that is because the weight is a force.

It is the physical magnitude that expresses the force exerted by gravity on the mass of a body, this is expressed in units of the international system in Newton.

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