Select the gas with the highest average kinetic energy per mole at 298 K.
a. carbon dioxide
b. all have the same kinetic energy
c. hydrogen
d. water
e. oxygen

The capacitor is used to store charge.

We have to know that the capacitor is the kind of device that can be used to store the electrical charges. As such, the capacitor can be able to be charged from a battery.

This question is incomplete and the mathematical details of the problem are missing. However, we should know that the efficiency of the charging would depend on the kind of battery that has been used and the nature of the capacitor as we have in the question above here.

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If the mass of the object is halved, its new GPE would be 5 J. The gravitational potential energy (GPE) of an object near the surface of the Earth is given by the formula:

GPE = mgh

where:

m is the mass of the object

g is the acceleration due to gravity (9.81 m/s² near the surface of the Earth)

h is the height of the object above some reference level (usually taken to be the ground level)

The given information of the object having 10 J of gravitational potential energy (GPE) is insufficient to calculate its mass or height. As a result, we cannot use the above formula to calculate the object's GPE if its mass is halved.

However, we can take advantage of the fact that an object's GPE is directly proportional to its mass. That is, if we cut the object's mass in half, its GPE will be cut in half as well. This is mathematically expressed as:

GPE2 = (1/2) GPE1

where:

GPE1 is the object's first GPE.

GPE2 is the object's new GPE after its mass has been halved.

As a result, if the object's GPR is considered its initial GPE and its mass is halved, its new GPE is:

GPE2 = (1/2) GPR

Substituting the given value of GPR = 10 J, we get:

GPE2 = (1/2) x 10 J = 5 J

So, if the mass of the object is halved, its new GPE would be 5 J.

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A circuit in which two light bulbs with equal resistance values are connected in parallel. if one of the light bulbs burns out, By factor (2) is the brightness of the other bulb multiplied.

When two identical light bulbs are connected in parallel, the total resistance of the circuit is half of the resistance of each individual bulb. If one of the bulbs burns out, the total resistance of the circuit doubles, which means that the current through the remaining bulb is halved. The brightness of a light bulb is directly proportional to the current passing through it, so the brightness of the remaining bulb will be reduced by a factor of 2.

I = V/R

If both bulbs have the same resistance R and the same voltage V is applied to each, then the current passing through each bulb is:

I = V/R

When both bulbs are connected in parallel, the total current in the circuit is the sum of the currents through each bulb:

[tex]I_t_o_t_a_l = I_1 + I_2[/tex]

here,

[tex]I_1[/tex] & [tex]I_2[/tex] are currents passing by each bulb.

Reserving Ohm's law:-

[tex]I_t_o_t_a_l = V/R + V/R[/tex]

Simplifying:-

[tex]I_t_o_t_a_l = 2V/R[/tex]

The power P dissipated by each bulb is given by:

[tex]P = IV = V^2/R[/tex]

So the brightness of each bulb is proportional to [tex]V^2[/tex]. If one bulb burns out, the voltage across the remaining bulb remains the same, but the resistance of the circuit doubles, so the current passing through the remaining bulb is halved. This means that the power dissipated by the remaining bulb is reduced by a factor of 2, which corresponds to a reduction in brightness by the same factor. Therefore, the brightness of the remaining bulb is reduced by a factor of 2.

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The required tension in the rope if he climbs at constant speed is said to be 583.7 N.

The mass of the gymnast is given as 59.5 kg.

It is said that he climbs a rope at constant speed. This speed is to be calculated.

An object is said to be moving at a constant pace when it covers the same distance in the same amount of time. When moving at a constant pace, an object covers a fixed distance in a fixed amount of time.

The action-reaction pair of forces operating at either end of the aforementioned elements can also be thought of as tension. A string, rope, chain, or other similar object, or both ends of a rod, truss member, or other equivalent three-dimensional object, transmits tension when they pull in the same direction.

Drawing a free-body diagram has allowed us to:

T - m g = 0

T = m g = 59.5(9.81) = 583.7 N

Thus, the tension in the rope if he climbs at constant speed is said to be 583.7 N.

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The correct statement is B.

A higher mode number means a shorter wavelength.

What is Wavelength?

Wavelength is an important characteristic of all types of waves, including electromagnetic waves (such as light and radio waves) and mechanical waves (such as sound waves and water waves). In general, the wavelength of a wave is determined by the source of the wave, the medium through which it travels, and the frequency of the wave.

The correct statement is B. A higher mode number means a shorter wavelength.

In both cases, the mode number refers to the number of segments, or nodes, into which the wave can be divided. The wavelength, on the other hand, refers to the distance between two adjacent peaks or troughs of the wave.

When the mode number increases, the number of segments or nodes in the wave increases, which means that the wavelength must decrease in order to maintain the same frequency of the wave. This is because the total length of the string or tube remains the same, and so the length of each segment must decrease as the number of segments increases. Therefore, a higher mode number corresponds to a shorter wavelength.

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Answer:

Work is defined as the product of force and distance in the direction of force because it represents the amount of energy that is transferred from one object to another as a result of a force being applied over a certain distance.

The definition of work as the product of force and distance (W = Fd) is based on the concept of energy transfer. Energy is defined as the ability to do work, and work is defined as the transfer of energy from one object to another. When a force is applied to an object over a certain distance, the energy that is transferred is equal to the amount of work done.

Answer:

17.8 x 10^29 J

Explanation:

The kinetic energy (KE) of an object can be calculated using the formula:

KE = 0.5 * m * v^2

where m is the mass of the object and v is its velocity.

In this case, the mass of the asteroid is 2.6 x 10^21 kg, and its velocity is 14900 m/s. Plugging these values into the formula:

KE = 0.5 * 2.6 x 10^21 kg * (14900 m/s)^2

KE = 0.5 * 2.6 x 10^21 kg * 22.11 x 10^7 m^2/s^2

KE = 0.5 * 2.6 x 10^21 kg * 22.11 x 10^7 m^2/s^2

KE = 17.8 x 10^29 J

The asteroid possesses 17.8 x 10^29 J of kinetic energy.

Aɳʂɯҽɾҽԃ Ⴆყ ɠσԃKEY ꦿ

The distance between two pool balls are separated by 0.0424 m.

The gravitational pull draws any two mass-containing things together. It mentions the gravitational force. The force will always be applied along the line joining the two masses in the direction of the other mass, according to the formula F=Gm1m2r2.

The following formula can be used to determine the gravitational force between two objects:

F = G * (m1 * m2) / r²

where F is the gravitational force's strength, G is the gravitational constant (6.67 x 10-11 N×m2/kg), m1 and m2 are the objects' masses, and r is the separation between them.

To determine the separation between the two pool cues To account for r, we can rearrange this expression as follows:

Represents the objects' masses, while r denotes the separation between their mass centres.

Rearranging this formula to solve for r will allow us to get the distance between the two pool balls:

r = √(G × m1 × m2 / F)

Substituting the given values, we get:

r = √(6.67 x 10⁻¹¹ N*m²/kg² × 0.300 kg × 0.400 kg / 8.92 x 10⁻¹¹ N)

r = 0.0424 m

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A temperature difference (T) is the result of subtracting two independent isolated temperature measurements or measuring the amount of temperature rise or decline.

The two layers are the same thickness, but the materials are not. A's thermal conductivity is double that of B's. The temperature difference between the two ends of the wall in thermal equilibrium is 36o C. Determine the beginning and end temperatures, as well as the sample mass and energy provided. Subtract the end and starting temperatures to get the temperature change (T). Multiply the temperature difference by the mass of the sample. Distribute the heat/energy supplied by the product.

To calculate the temperature difference, just subtract the smaller figure from the bigger one, in this example 19 degrees Celsius from 25 degrees Celsius. This results in a six-degree Celsius temperature differential.

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Answer:

51 km/hr

Explanation:

car:  KE = 1/2mv² = 1/2(1000 kg)(15 km/hr)² = 112500

truck:  KE = 23(112500) = 2587500

KE = 1/2mv²  →   v² = 2(KE)/m  →   v = √2(KE)/m

v = √2(2587500)/(2000 kg) = 50.9 ≈ 51 km/hr

By the help of potential energy of the spring, so option A) 0.21 m/s is the correct answer.

There is no energy in the spring in its normal state, which is when it is not stretched. However, the spring can store energy when it is in a position that is different from its normal position because of the position. Potential energy is the name for this accumulated energy. The accumulated potential energy as a result of a specific elastic item, such as a spring, deforming is known as the potential energy of the spring. It reflects the labor involved in stretching the spring and is dependent on both the length of the stretch and the spring constant, k.

the energy of the spring = [tex]\frac{1}{2} kx^2[/tex]

so it depends on spring's constant

and change  in length

so it is independent of mass

so, A) remains the same is the correct answer

B) total energy =[tex]0.5mv^2= 0.5\times0.2\times0.3^2[/tex]

total energy =  [tex]9\times10^-3 J[/tex]

v = 0.21 m/s

so 0.21 m/s is the correct answer

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The period of wave is 2.2924s and the wavelength of the wave 0.436Hz.

A wavelength's worth of space separates the equilibrium and the crest.

As a result, the amount of time needed to get there would be

t=T/4

0.5731=T/4

T= 2.2924s,

where T is the time period.

The frequency is now determined by f=1/T

f=1/2.2924

f =0.436Hz.

The distance covered by a wave during one revolution is referred to as its wavelength. To put it another way, we can say that the wavelength is the distance between two consecutive crests and troughs.

The following formulas, f = v, make it simple to determine the frequency if we are aware of the wave's velocity and wavelength beforehand. After calculating the frequency, we can use T = 2 = 1 f to calculate the time period.

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Both caesium-137 and iodine-131 emit ionizing radiation, which can damage living tissue and increase the risk of cancer.

Isotopes are members of the same element's family but have variable numbers of neutrons despite having the same number of protons.

Iodine-131 and caesium-137 both produce ionizing radiation, which can harm living things and raise the risk of cancer.

Due to their varied half-lives and processes of decay, each isotope's danger has changed between 1986 and 2018 despite this.

Caesium-137 degrades gradually over time since it has a longer half-life of roughly 30 years. Iodine-131, on the other hand, degrades swiftly because of its significantly lower half-life of only around 8 days.

Thus, the risk has diminished over time as a result of radioactive decay.

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The magnitude of the acceleration experienced by an electron in an electric field of 750 N/C is approximately 1.318 × 10¹⁴ m/s².  

If the electric field is in the direction of positive x-axis, the electron will be accelerated in the negative x-axis direction. If the electric field is in the direction of positive y-axis, the electron will be accelerated in the negative y-axis direction, and so on.

The magnitude of the acceleration experienced by an electron in an electric field can be calculated using the formula:

a = F/m

where F is the force experienced by the electron in the electric field, and m is the mass of the electron.

The force experienced by an electron in an electric field is given by:

F = qE

where q is the charge of the electron, and E is the electric field strength.

The mass of an electron is approximately 9.11 × 10⁻³¹ kg, and the charge of an electron is -1.602 × 10⁻¹⁹ C.

Substituting these values, we get:

F = (-1.602 × 10⁻¹⁹ C) × (750 N/C) = -1.2015 × 10⁻¹⁶ N

a = F/m = (-1.2015 × 10⁻¹⁶ N) / (9.11 × 10⁻³¹ kg) ≈ -1.318 × 10¹⁴ m/s²

Therefore, the magnitude of the acceleration experienced by an electron in an electric field of 750 N/C is approximately 1.318 × 10¹⁴m/s².

The direction of the acceleration of the electron depends on the direction of the electric field at that point. By convention, the direction of the electric field is the direction in which a positive charge would experience a force. Since the charge of an electron is negative, the force experienced by an electron in an electric field is opposite in direction to the electric field.

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θ = 49.3° at this angle she hit the ball.

The initial velocity of the ball can be broken down into its x and y components:

Vₓ = 50 * cos(θ)

Vy = 50 * sin(θ)

The ball's position can be found using the kinematic equations for constant acceleration due to gravity:

[tex]X = V_{x} * t\\Y = V_{y}* t - (\frac{1}{2}) * 9.81 * t^{2}[/tex]

Since we know the ball's final position is 100 m, we can set these equations equal to 100 and solve for t:

[tex]100 = V_{x} * t\\100 = V_{y} * t - (\frac{1}{2}) * 9.81 * t^{2}[/tex]

From here, we can solve for the angle θ. Rearranging the initial velocity equation:

Vy = 50 * sin(θ)

We can substitute this into the equation for Y, and solve for θ:

θ = [tex]arcsin\frac{(2*(100 + (\frac{1}{2})*9.81*t^{2}))}{(50*t)}[/tex]

After solving the equations for t, we can plug that value into this equation for θ and get the angle at which the ball was hit.

The answer is θ = 49.3°

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The value of the point charge is zero.

What do you mean by charge?

Charge, also known as electric charge, electrical charge, or electrostatic charge and denoted by the symbol q, is a property of a unit of matter that indicates how many more or fewer electrons than protons it contains.

When a subatomic particle is exposed to an electric and magnetic field, its electric charge causes it to feel a force. There are two sorts of electric charges: positive and negative. The electric field outside the sphere is the same as the field from a point charge with a net charge of Q, according to Gauss' law, whereas the electric field inside the sphere is zero. For a solid or hollow sphere, this conclusion holds valid.

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The electric field follows vector superposition while the voltage follows scalar superposition, which is the difference between the two superpositions (i.e., The net electric field at any point is the vector sum of the electric field due to the individual charges).

What is Electric field?

The term "electric field" refers to the physical field that surrounds electrically charged particles and acts to either attract or repel all other charged particles in the field (or E-field). One of the four fundamental interactions, or forces, of nature is the electromagnetic field, which manifests in both electric and magnetic fields. Electric fields, which are significant in many parts of physics, are used in electrical technology.

For instance, in atomic physics and chemistry, the electric field serves as the attractive force that holds the atomic nucleus and electrons of an atom together.

Moreover, it is the force that causes molecules to form when atoms bind chemically.

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Answer:

Advantages of being firstborn:

Disadvantages of being firstborn:

Explanation:

Answer:

Advantages and disadvantages of being firstborn

Explanation:

Advantages of being a firstborn include having higher self-esteem and academic achievements, being seen as more responsible, and receiving extra attention from parents.

Disadvantages of being a firstborn include the pressure to live up to high expectations and the possibility of feeling resentful that their younger siblings get more freedom.

The Momentum is the product of mass and velocity.

Momentum is a measure of an object's motion. It is defined as the product of an object's mass and its velocity. In physics, momentum is a conserved quantity, which means that the total momentum of a closed system remains constant unless acted upon by an external force.

Final momentum of Ax = 1 * 2 * cos 30 = 1.73 Kgm/s

Final momentum of Ay =  1 * 2 * sin 30 =1 Kg m/s

Final momentum of Bx = 1 * Vs * cos 30

Final momentum of By = 1 * Vy * sin 30

The velocity is then;

1 * 5 + 0 = (1 * 2) + (1 * vs)

5 = 2 + vs

Vs = 3 m/s

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Addition work required to move spring by extra 10cm is 12J.

Define sprint constant.

A restoring force that is proportional to the spring's displacement is stored in a spring when it is compressed or relaxed. The force needed to extend or compress a spring by a unit length is specified by the spring constant. The stiffness constant is another name for it.

According to Hooke's Law, the force required to compress or lengthen a spring is inversely related to the length of the spring. By deducting the initial work from the overall job or the completed work, additional work can be computed.

Work done = 1/2 kx^2

x1 = 10cm = 0.1m

x2 = 10+10 = 20cm = 0.2m

W1 = 4J

W1 = 4 = 1/2 k *0.1*0.1

k = 4*2 /0.01 = 800N/m

W2 = 1/2 *800*0.2*'0.2

W2 = 400*0.04 = 16J

So required work is W = W2-W1

W 16-4 = 12J

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(a) For graph A the object is moving at a zero constant speed.

(b) For graph B the object is moving at a constant speed greater than zero.

(c) For graph C the object is moving a uniform speed.

Constant velocity refers to a situation in which an object moves at a constant speed in a straight line. This means that the magnitude of the velocity (i.e. the speed) of the object remains the same over time, while its direction may or may not change.

Uniform velocity refers to a situation in which an object moves with a constant speed, but also changes its direction. In other words, the object has a constant magnitude of velocity (i.e. speed), but its direction is constantly changing. An object moving in a circular path at a constant speed is an example of an object with uniform velocity.

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Force applied by a chain passing over a) is 854 N and force is required if the chain shifts to a 8.38 cm is 869N.

A) The expression for force is product of force and distance of force from the axis of rotation,

τ = r x F

Here sum of clock wise moments are negative and sum of anticlockwise moments are positive,

τ = r x Fa

τnet = r x Fa - R x F

Torque is product of inertia and angular acceleration,

I∝ = r x Fa - R x F

[tex]F_a = \frac{I\alpha + R*F_r_e_s}{r}[/tex]

Moment of inertia of wheel is,

I = MR²

= (0.758)(0.746)

= 0.565 kg.m³

Fa = 854 N

B) using the equation,

[tex]F_a = \frac{I\alpha + R*F_r_e_s}{r}[/tex]

= [tex]\frac{(0.565) (2.6) + (95.7)(0.746) }{0.0838}[/tex]

= 869N

Newton's alternate law establishes that the net necklace acting on a body equals the product of the body's moment of indolence and its angular acceleration,

The moment of indolence serves as a measure of the body's resistance to a change in its rotational state of stir.

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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:

[tex]Ft = mhg + mb g[/tex]

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:

[tex]mc = \frac{Ft}{g} =\frac{ (mhg + mb g)}{g} \\ = mh + mb[/tex]

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:

[tex]mc = mh + mb = 0 + 950 kg = 950 kg[/tex]

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.

The change in gravitational potential energy of the spacecraft as it moves from point B to point A is 8.3x10^9 J.

The change in gravitational potential energy of the spacecraft as it moves from point B to point A can be calculated using the formula:

                    [tex]ΔPE = -GMm(1/rA - 1/rB)[/tex] , where

ΔPE is the change in gravitational potential energy,

G is the gravitational constant,

M is the mass of the planet,

m is the mass of the spacecraft,

rA is the distance from the planet's center at point A, and

rB is the distance from the planet's center at point B.

Using the given values, we have:

[tex]ΔPE = -(6.67x10^-11 Nm^2/kg^2)(1.50x10^24 kg)(650 kg)(1/5.00x10^7 m - 1/0)[/tex][tex]ΔPE = -(6.67x10^-11 Nm^2/kg^2)(1.50x10^24 kg)(650 kg)(1/5.00x10^7 m - 1/0)[/tex]

Simplifying the expression, we get:

[tex]ΔPE = -8.3x10^9 J[/tex]

Therefore, the change in gravitational potential energy of the spacecraft as it moves from point B to point A is [tex]8.3x10^9[/tex]J, which is a negative value because the spacecraft is moving closer to the planet and its gravitational potential energy is decreasing.

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The range of distance before and behind the main focus distance is referred to as the depth of field.

The depth of field is determined by several factors, including aperture size, focal length, and distance to the subject. Generally, the depth of field is greater behind the main focus distance than in front of it. The distance before the main focus distance is referred to as the near focus limit, and the distance behind it is referred to as the far focus limit. The depth of field is an important consideration in photography and videography as it affects the sharpness and clarity of the final image or video. It can be adjusted by changing the aperture size, focal length, or distance to the subject. The range of distance before and behind the main focus distance is referred to as the depth of field.

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Answer:

 Kinetic energy plus potential energy equals total mechanical energy. The equation for this is KE + PE = Total Mechanical Energy, where KE is kinetic energy, PE is potential energy, and Total Mechanical Energy is the total amount of energy present.

The post-collision velocity of the first billiard ball is 272 cm/s.

Velocity is a vector quantity that describes an object's speed and direction of motion.

We can solve this problem by using the law of conservation of momentum, which states that the total momentum of an isolated system remains constant.

The momentum of an object is defined as the product of its mass and velocity:

p = m * v

The total initial momentum of the system is the sum of the momenta of the two billiard balls before the collision:

p_initial = m * v1 + m * v2

where m is the mass of each billiard ball, v1 is the initial velocity of the first billiard ball, and v2 is the initial velocity of the second billiard ball.

After the collision, the first billiard ball will rebound with a velocity v1', and the second billiard ball will rebound with a velocity v2'. The total final momentum of the system is the sum of the momenta of the two billiard balls after the collision: p_final = m * v1' + m * v2'

Since the law of conservation of momentum applies, we can set the initial momentum equal to the final momentum

p_initial = p_final

Substituting the given values, we get:

m * v1 + m * v2 = m * v1' + m * v2'

Simplifying, we get:

v1' = (m * v1 + m * v2 - m * v2') / m

v1' = v1 + (v2' - v2)

Plugging in the given values, we get:

v1' = 154 cm/s + (72 cm/s - (-46 cm/s))

v1' = 272 cm/s

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The acceleration of the car is [tex]11.63 m/s^2.[/tex] The force produced by the car is 4,876.4 Newtons.

To find the acceleration of the car, we can use the formula:

acceleration = (final velocity - initial velocity) / time

In this case, the initial velocity is 0 m/s, the final velocity is 50 m/s, and the time is 4.3 s. Substituting these values into the formula, we get:

acceleration = (50 m/s - 0 m/s) / 4.3 s =[tex]11.63 m/s^2[/tex]

Therefore, the acceleration of the car is[tex]11.63 m/s^2.[/tex]

To find the force produced by the car, we can use Newton's second law of motion, which states that force is equal to mass times acceleration:

force = mass x acceleration

In this case, the mass of the car is 420 kg, and the acceleration is 11.63 m/s^2. Substituting these values into the formula, we get:

[tex]force = 420 kg \times 11.63 m/s^2 = 4,876.4 N[/tex]

Therefore, the force produced by the car is 4,876.4 Newtons.

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The largest object in the asteroid belt is ceres with a radius of 470 km and a mass of [tex]9.384*10^2^0 kg[/tex]. The weight of a 160. kg astronaut standing on ceres is 43.2 N.

The weight of the astronaut on Ceres can be calculated using the formula:

w = m * g

here,

w is weight of the astronaut,

m is mass of the astronaut, and

g is gravitational acceleration on Ceres.

The gravitational acceleration on Ceres:-

[tex]F = G * (m1 * m2) / r^2[/tex]

here,

F is gravitational force between two objects,

G is gravitational constant,

m₁ & m₂ are masses of the two objects, and

r is distance between them.

For an object of mass m near the surface of a spherical object of mass M and radius R, the distance r can be approximated as (R + h).

For Ceres, the gravitational acceleration:-

[tex]g = G * M / R^2[/tex]

here,

G is gravitational constant,

M is mass of Ceres, and

R is radius of Ceres.

Reserving values given:-

[tex]g = (6.67430 × 10^-^1^1^ ^m^3/(kg s^2)) * (9.384 × 10^20 kg) / (470000 m)^2[/tex]

[tex]g = 0.27 m/s^2[/tex]

Now, weight of the astronaut as:

w = m * g

[tex]w = 160 kg * 0.27 m/s^2[/tex]

w = 43.2 N

Therefore, the weight of a 160 kg astronaut standing on Ceres is approximately 43.2 newtons.

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Answer:

12 Kilometers

Explanation:

To find the distance Sarah travels in a given time, we can use the formula:

distance = speed * time

In this case, the speed of the horse is 8 km/h and the time Sarah travels is 1 1/2 hours.

distance = 8 km/h * 1 1/2 hours = 12 km

So, Sarah can travel 12 kilometers in 1 1/2 hours.