According to the conservation of momentum, the momentum before a collision should be _______ the momentum after the collision.
A.greater than
B.less than
C.double
D.equal to​

The instantaneous velocity of the car at t = 5.0s is 4.5 m/s.

Take the derivative of its position function x(t) with respect to time,

[tex]v(t) = \dfrac{dx(t)}{dt}[/tex]

v(t) represents the velocity of the car at any given time t.

Given x(t) = bt^2 - ct^3,

Find the derivative as follows,

v(t) = {d/dt} (bt^2 - ct^3)

= 2bt - 3ct^2

Substitute the given values of b and c, and evaluate the velocity at t = 5.0s,

v(5.0s) = 2b(5.0s) - 3c(5.0s)^2

= 2(2.40 m/s^2)(5.0 s) - 3(0.120 m/s^3)(5.0 s)^2

= 12.0 m/s - 7.5 m/s

= 4.5 m/s

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Answer:

There are four main forces involved in the flight of an airplane: lift, weight, thrust, and drag.

Explanation:

1. Lift: Lift is the force that opposes the weight of an aircraft and keeps it in the air. It is generated by the wings as they move through the air and is affected by factors such as the shape of the wings, the angle of attack, and the speed of the aircraft.

2. Weight: Weight is the force of gravity acting on an aircraft and pulling it downward. It is proportional to the mass of the aircraft and the acceleration due to gravity.

3. Thrust: Thrust is the forward force generated by the engines of an aircraft. It must be greater than the drag force in order to maintain forward flight.

4. Drag: Drag is the aerodynamic force that opposes the forward motion of an aircraft. It is caused by the friction of the air moving past the surface of the aircraft and is affected by factors such as the speed of the aircraft, its shape, and the altitude.

These four forces are in a constant state of balance during flight, with the pilot adjusting the thrust and angle of attack to maintain a stable flight.

If the car continues to decelerate at this rate then the total distance of car is 324.91 meters.

When an object slows down, it undergoes deceleration, which is the opposite of acceleration. There are usually two ways that acceleration slows down. The first occurs when an object slows down by itself. Gravity, friction, or momentum loss could be to blame. The second is when the object is subjected to an external force, such as when a car driver applies the brakes or a pilot deploys the air brakes in an airplane. A journey that is both safe and successful requires deceleration, which is an essential component of movement.

                       d₁ = R × θ

                        = 0.42×73×2× π

                               = 192.6 m

Using 2nd kinematic equation for distance traveled in next 16 sec:

                              θ₁ = wi × t + (1/2)× α ×t²

             θ₁ = 39.69 × 16 + (1/2) × (-2.5) × 16²

                                 = 315.04 rad

                 d₂ = R× θ₁

                        = 0.42× 315.04

                               = 132.31 m

So total stopping distance = 192.6 + 132.31

                                            = 324.91 m

Therefore, the total distance is 324.91 m.

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Answer:  4182 J/kg°C

Explanation: molar heat capacity is J/mole C not J/gC. 4.18 J/gC x (18.0 g / mole) = 75.2 J/moleC

If the given compound has a molar mass of 123.22 g/mol then, SrS is the molecular formula of a substance that has this molar mass. Therefore, option c is the correct answer according to the given information.

The molecular formula is defined as the number of atoms present in the molecules of a chemical compound when the two molecules of different substances are combined together. The molecular mass is the mass of a given molecule measured in daltons.

The molar mass of Strontium = 87.22g/mol

The molar mass of Sulfur = 32 g/mol.

The total molecular mass of these two combined compounds

= Strontium + Sulfur = SrS

SrS = 87.22 + 32 = 123.22g/mol.

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The complete question is-

A compound has a molar mass of 123.22 g/mol. what is the molecular formula of a substance that has this molar mass?

A. CoH4

B. PSF3

C. SrS

D. ZrO2

Taking into account the definition of density, the mass of 500.0 mL of propylene glycol, which has a density of 1.036 g/mL, is 518 g.

Density is the amount of matter in a given space and is defined as the amount of mass of a substance per unit volume.

In other words, density is defined as the amount of mass in a certain volume of a substance.

The expression for the calculation of density is the quotient between the mass of a body and the volume it occupies:

density= mass÷ volume

In this case, you know that:

Replacing in the definition of density:

1.036 g/mL= mass÷ 500 mL

Solving:

mass= 1.036 g/mL×500 mL

mass= 518 g

Finally, the mass is 518 g.

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The energy of a wave is proportional to the square of its amplitude. Doubling the amplitude of a wave quadruples its energy.

Therefore, if the original wave on the small lake had an amplitude of 0.1 meters and a certain amount of energy, doubling its amplitude to 0.2 meters would increase its energy by a factor of 4. In other words, the energy of the wave would become 4 times greater than its original value.

The largest deviation a wave can make from its equilibrium position is referred to as its amplitude. In plainer terms, it refers to the height of a wave, or the distance between the highest point (the wave's crest) and the lowest point (its trough).

A wave's energy, or the entire amount of work that the wave may exert on its surroundings, is measured by the amplitude of the wave. The wave carries more energy the larger its amplitude.

The term "amplitude" is frequently used to describe a variety of waves, such as sound, light, and water waves. It is typically expressed as a "A" sign and is measured in units of measurement like meters or feet.

To calculate the energy of the wave by doubling its height:

(Energy after / Energy before) = (Amplitude after)^2 / (Amplitude before)^2

Substituting the given values, we get:

(Energy after / Energy before) = (0.2)^2 / (0.1)^2 = 4

This means that the energy of the wave after doubling its amplitude would be four times the energy of the original wave.

So, if the original wave had an energy of E, the energy of the wave after doubling its amplitude would be 4E.

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Answer:

neon and argon

Explanation:

because they are inert gas

The expression for the person's acceleration after they touch the ground in terms of g, h and d is a = 2gh / (2h/g + sqrt(2gh + 2gd).

An acceleration refers to the change in velocity with respect to time in terms of speed and direction. In the case given here, assuming no air resistance, the potential energy of the person at the top of the ledge is converted into kinetic energy just before they hit the ground.

Let's consider the motion of the person after they touch the ground. We assume that the person's acceleration is constant during the time they move a distance d. Let a be the acceleration of the person after they touch the ground, and let t be the time it takes for them to come to a complete stop. Then:

⇒ d = 1/2 × a t²........... (1)

⇒ v = at........(2)

⇒ h + d = 1/2 gt² + vt......... (3)

where, v is the velocity of the person just before they touch the ground, and g is the acceleration due to gravity.

Therefore,

t = (sqrt(2gh + 2gd + v²) – v) / g

a = 2(d + h) / t² – g

Substituting v = sqrt(2gh):

a = 2gh / (2h/g + sqrt(2gh + 2gd))

Therefore, the acceleration of the person after they touch the ground is:

a = 2gh / (2h/g + sqrt(2gh + 2gd))

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Avogadro's number, which is equal to [tex]6.02214076 \times 10^23[/tex] Is the quantity of units in one mole of any material (defined as its molecular weight in grams).

Avogadro made the right assumption that equivalent quantities of gases at the same pressure and temperature contain an equal number of molecules. Avogadro proposed a theory in 1811 that his contemporaries disregarded for many years.

In order to determine how many particles there are in a cubic centimetre of gas under ideal conditions, Loschmidt employed the kinetic molecular theory in 1865. The acknowledged value of this quantity—now known as the Loschmidt constant is [tex]2.6867773 \times 10^25 m-3.[/tex]

Therefore, equal volumes of gases at the same temperature and pressure should contain equal numbers of molecules, as Avogadro rightly theorized. It is [tex]6.02214076 \times 10^23[/tex] Or Avogadro's number.

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(b) Wha type of waves are produced in the string

Transverse wave is produced by the string. longitudinal wave is formed by the voice of both of them in plastic cup

The power of x is the exponent of x in an equation. The power of x (x^n) is the result of multiplying a number (x) by itself (n) times. For example, in an equation of the form x^a, the power of x is a.

For example, if x = 2 and n = 3, then x^n = 8 (2 x 2 x 2).

The Excel equation is similar to the equation V=kQ/d in that they both contain variables (x, k, Q, and d) and the goal is to calculate a result (x^n, V). However, the Excel equation is specific to the power of x and is used to calculate the result of multiplying a number by itself a certain number of times. The equation V=kQ/d is used to calculate velocity based on a constant (k), a quantity (Q), and a distance (d). However, the equation V=kQ/d does not involve x, and it is used to calculate the voltage, V, in a circuit. The power of x is simply a mathematical notation used to indicate the number of times a variable is multiplied by itself, while the equation V=kQ/d is used to calculate the voltage in a specific circuit.

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The momentum of the driver is  1,750 kgm/s.

Momentum refers to an object's tendency to maintain its velocity (or speed) in a straight line unless acted upon by an external force.

The magnitude of momentum is determined from the product of mass and velocity of the object.

The momentum of the driver is calculated as follows;

P = mv

where;

P = 70 kg x 25 m/s

P = 1,750 kgm/s

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Newton's third law of motion states that "for every action, there is an equal and opposite reaction." In the case of a hose pipe, this law applies to the forces involved in the flow of water through the hose.

When water is flowing through the hose, it is being accelerated by the pressure difference between the inlet and outlet of the hose. As the water moves through the hose, it exerts a force on the walls of the hose, pushing them outwards. This is the "action" described in Newton's third law.

According to the law, there must be an equal and opposite "reaction" force. In this case, the reaction force is the force that the hose exerts on the water. The force of the hose pushing outwards is equal and opposite to the force of the water pushing inwards.

This reaction force is what allows the water to flow through the hose. Without it, the water would not be able to move through the hose and would instead remain stationary.

So, in summary, in the case of a hose pipe, Newton's third law of motion applies to the forces involved in the flow of water through the hose. The force that the water exerts on the hose is equal and opposite to the force that the hose exerts on the water, and this allows the water to flow through the hose.

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The final kinetic energy of the supply spacecraft is [tex]6.4 *10^{11} J[/tex] and final kinetic energy of the supply spacecraft can be found using the work-energy principle.

The work done by the tractor beam force can be found by integrating the force with respect to distance. Since the force is a function of x, we need to express the distance traveled by the spacecraft as a function of x. We know that the spacecraft starts from rest at x = 0 and moves a distance of [tex]4.0 * 10^5 m[/tex], so we have:

[tex]x = 0 + (1/2)ax^2 + 8x[/tex]

We can simplify this expression to:

[tex]x = (1/2)ax^2 + 8x[/tex]

Now we can express the work done by the tractor beam force as an integral:

W = ∫ F(x) dx from [tex]x = 0[/tex] to [tex]x = 4.0 * 10^5 m[/tex]

W = ∫ (ax + 8) dx from [tex]x = 0[/tex] to [tex]x = 4.0 * 10^5 m[/tex]

[tex]W = (1/2) a (4.0 * 10^5)^2 + 8 (4.0 *10^5)[/tex]

[tex]W = 6.4 * 10^{11} J[/tex]

The work done by the tractor beam force is [tex]6.4 * 10^{11} J[/tex].

Since the work done on the spacecraft is equal to the change in kinetic energy of the spacecraft, we have:

W = KE2 - KE

where KE is the initial kinetic energy of the spacecraft, which is zero.

Therefore, the final kinetic energy of the spacecraft is:

[tex]KE2 = W = 6.4 *10^{11} J[/tex]

So the final kinetic energy of the supply spacecraft is [tex]6.4 * 10^{11} J[/tex].

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The cylinder rolls on the plane without slipping, and the string is parallel to the plane. Assume the cylinder has a radius of R and an inertia moment about its center of mass of I.

Tension in the string (T), the gravitational force on mass m (mg), and the frictional force on the cylinder from the plane are the forces acting on the system (f).

The tension in the string (T) is balanced by the gravitational force on mass m because the string is parallel to the plane (mg). As a result, we can write:

T = mg

To find the acceleration of mass m, we can use Newton's second law for the vertical motion of mass m:

mg - T = ma

Substituting T with mg, we get:

a = g - g(M/m)

where M/m is the ratio of the masses of the cylinder and the mass, respectively.

To find the condition on the ratio M/m for which the cylinder accelerates down the plane, we need to apply Newton's second law for the rotational motion of the cylinder. The torque acting on the cylinder is due to the frictional force f, which is given by:

f = μN

where μ is the coefficient of static friction, and N is the normal force on the cylinder from the plane. Since the cylinder rolls without slipping, the frictional force f is equal to the force due to the tension in the string, which is mg.

Therefore, we can write:

mg = f = μN

The normal force N is equal to the weight of the cylinder, which is Mg. Therefore, we can write:

mg = μMg

Simplifying, we get:

μ = m/M

For the cylinder to accelerate down the plane, the frictional force must be less than or equal to the maximum static frictional force, which is given by:

f_max = μ_s N

where μ_s is the coefficient of static friction. Therefore, we need to have:

f <= f_max

Substituting f and f_max, we get:

mg <= μ_s Mg

Substituting μ = m/M, we get:

mg <= μ_s Mg

Simplifying, we get:

m/M <= μ_s

Therefore, the condition on the ratio M/m for which the cylinder accelerates down the plane is:

M/m > μ_s

where μ_s is the coefficient of static friction between the cylinder and the plane.

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An ultraviolet telescope in space.

What is a telescope?

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The given vectors E and F are in Cartesian form. To find their magnitudes, we can use the formula:

|v| = √(vx² + vy²)

where vx and vy are the x and y components of the vector.

Cartesian algebra, also known as coordinate algebra or analytic geometry, is a branch of mathematics that deals with the use of algebraic equations to describe geometric shapes and their properties. It is named after the French philosopher and mathematician René Descartes, who developed the Cartesian coordinate system, which provides a way to describe the position of points in space using numbers.

A. Magnitude of E:

|E| = √((3i)² + (1j)²)

= √(9i² + 1j²)

= √(9 + 1)

= √(10)

Therefore, the magnitude of E is √(10).

B. Magnitude of F:

|F| = √((1i)² + (-3j)²)

= √(1 + 9)

=√(10)

Therefore, the magnitude of F is √(10).

C. Magnitude of G = E + F:

G = E + F = (3i + 1i) + (1j - 3j)

= 4i - 2j

|G| = √((4i)² + (-2j)²)

=√(16 + 4)

= √(20)

= 2√(5)

Therefore, the magnitude of G is 2√(5).

D. Magnitude of H = -E - 2F:

H = -E - 2F = (-3i - 2i) + (-1j + 6j)

= -5i + 5j

|H| = √(-5i)² + (5j)²)

= √(25 + 25)

= √(50)

= 5√(2)

Therefore, the magnitude of H is 5√(2).

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The impulse is  force × time. Option D

In physics, impulse is a quantity that describes the change in momentum of an object that results from a force acting on it for a period of time. Mathematically, impulse is defined as the product of force and the time interval over which it acts:

Impulse = force × time

The unit of impulse is the newton-second (N·s) in the SI system of units.

Impulse is closely related to the concept of momentum, which is the product of an object's mass and velocity. When a force acts on an object, it causes a change in the object's momentum. The magnitude of this change is equal to the impulse that the force imparts on the object.

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The correct answer is c. The exponential decay constant's value is [tex]2.6*10^{-55 }s^{-1}[/tex].

To find the value of the exponential decay constant, we need to calculate Ks, the thermal conductivity of the sample. We employ the equation to arrive at this. [tex]Ks = mc + mow[/tex],

where m is the mass of Polly, c is the specific heat of the human tissues, and mow is the mass of the water. Plugging in the values for Polly's mass (60 kg), the specific heat of the human tissues (3500 J/(kg°C)) and

the mass of the water (300 kg),

and the specific heat of the water (4186 J/(kg°C)),

we get Ks = 0.5 W/(m°C).

Now, we can plug in the values for Ks, A, I, and Ax into the equation for[tex]Tdif = (constant) e^{-t}[/tex]

to calculate the exponential decay constant. By entering the values, we obtain the equation.

[tex]Tdif = (constant) e^{-t} = (0.5 W/(mC) * 2nrl * 1.5 m * 0.5 m) e^{-t}.[/tex]

Simplifying, we get  [tex]Tdif = 2.6*10^{-55} e^{-t}.[/tex].

Therefore, the value of the exponential decay constant is  [tex]2.6*10^{-55 }s^{-1}[/tex].

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The heaviest box you can push up the ramp at constant speed with a maximum force F is: ω = F / (μ sin(β))

Let F be the maximum force applied to the box, and let N be the normal force between the box and the ramp.

We can use the following equation to solve for the maximum weight of the box on the ramp:

F + μN = ω sin(β)

Where ω is the weight of the box, and β is the angle of the ramp.

hence, the heaviest box you can push up the ramp at constant speed with a maximum force F is:

ω = F / (μ sin(β))

What is speed?

Speed is the rate of change of an object's position over time, or the rate at which an object moves. Speed is a scalar quantity and is measured in metres per second (m/s).

Therefore, The heaviest box you can push up the ramp at constant speed with a maximum force F is: ω = F / (μ sin(β))

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(a) The potential energy of the tank of water with respect to the floor is 294,000 J.

(b) The potential energy of the tank of water with respect to the basement is 392,000 J.

The potential energy of the tank of water with respect to the floor can be calculated as follows:

Potential energy = mgh

where;

We can first find the mass of the water using the density of water, which is approximately 1000 kg/m³:

Mass of water = density x volume

Mass of water = 1000 kg/m³ x 2500 L

Mass of water = 2500 kg

Now we can calculate the potential energy:

Potential energy = 2500 kg x 9.8 m/s² x 12.0 m

Potential energy = 294,000 J

The potential energy of the tank of water with respect to the basement can be calculated in a similar way. We can first calculate the height of the tank with respect to the basement:

Height of tank with respect to basement = 12.0 m + 4.0 m

Height of tank with respect to basement = 16.0 m

Now we can calculate the potential energy using the same formula as before:

Potential energy = 2500 kg x 9.8 m/s² x 16.0 m

Potential energy = 392,000 J

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Answer:

Explanation:

1. Mendeleev predicted that there would be more chemical elements to come

2. by looking at the chemical properties

3. i think if all of them came together it would probably still look about the same tho ik it has changed over the years soo

The Lower frequency & longer wavelength is the correct option (a).

What is frequency ?

The frequency is expressed in Hertz. A sound wave's frequency is determined by how many vibrations it produces ( f ). Another way to think of frequency is as the quantity of waves that pass a specific spot in a second.

What is wavelength ?

The distance between identical points (adjacent crests) in adjacent cycles determines how far a waveform signal has travelled in space or over a wire. In wireless systems, this length is often expressed in metres (m), centimetres (cm), or millimetres (mm).

Therefore, The Lower frequency & longer wavelength is the correct option (a).

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The net resistance of 113 strands placed side by side is 1/113th of the resistance of a single strand.

Assuming that each strand has the same resistance, the net resistance of 113 strands placed side by side can be found by calculating the equivalent resistance of a parallel combination of 113 resistors. The formula for calculating the equivalent resistance of a parallel combination of resistors is:

1/R = 1/R1 + 1/R2 + ... + 1/Rn

where R is the equivalent resistance, and R1, R2, ..., Rn are the resistances of the individual components.

In this case, we have 113 strands, so n = 113. Since the strands are placed side by side, they are in parallel, so we can use the above formula to find the equivalent resistance:

1/R = 1/R1 + 1/R2 + ... + 1/R113

R = 1 / (1/R1 + 1/R2 + ... + 1/R113)

Since we don't know the resistance of a single strand, we cannot calculate the exact value of the net resistance. However, if we assume that each strand has the same resistance, we can use the formula for the equivalent resistance of n equal resistors in parallel:

1/R = n / R1

R = R1 / n

Substituting n = 113, we get:

R = R1 / 113

This means that the net resistance of 113 strands placed side by side is 1/113th of the resistance of a single strand.Assuming that each strand has the same resistance, the net resistance of 113 strands placed side by side can be found by calculating the equivalent resistance of a parallel combination of 113 resistors. The formula for calculating the equivalent resistance of a parallel combination of resistors is:

1/R = 1/R1 + 1/R2 + ... + 1/Rn

where R is the equivalent resistance, and R1, R2, ..., Rn are the resistances of the individual components.

In this case, we have 113 strands, so n = 113. Since the strands are placed side by side, they are in parallel, so we can use the above formula to find the equivalent resistance:

1/R = 1/R1 + 1/R2 + ... + 1/R1₁₃

R = 1 / (1/R₁ + 1/R₂ + ... + 1/R1₁₃)

Since we don't know the resistance of a single strand, we cannot calculate the exact value of the net resistance. However, if we assume that each strand has the same resistance, we can use the formula for the equivalent resistance of n equal resistors in parallel:

1/R = n / R₁

R = R1 / n

Substituting n = 113, we get:

R = R₁ / 113

This means that the net resistance of 113 strands placed side by side is 1/113th of the resistance of a single strand.

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Answer:

Explanation:

Displacement, velocity, and acceleration are fundamental concepts in physics that describe the motion of objects.

Velocity is a vector quantity that describes the rate of change of an object's position in a particular direction. It is defined as the displacement (the change in position) divided by the time it took to cover that displacement.

Acceleration is the rate of change of velocity, or the rate at which an object changes its speed or direction of motion. It is a vector quantity that is defined as the change in velocity divided by the time it took to achieve that change.

The change in velocity, also known as the delta velocity, is the difference between the initial velocity (v₁) and the final velocity (v₂). In this case, the change in velocity can be calculated as follows:

Δv = v₂ - v₁ = 1.2 mm/s - 1.0 mm/s = 0.2 mm/s

So, the turtle's velocity changes by 0.2 mm/s from 1.0 mm/s to 1.2 mm/s at 0=20°.

In summary, velocity describes the rate of change of an object's position, acceleration describes the rate of change of velocity, and the change in velocity is the difference between the final and initial velocities.

In this case, the force is 23 N, and the distance is 4.2 m. Therefore, the work required is 97.6 joules (J).

Joules is a unit of energy. It is a derived unit of the International System of Units (SI) and is used to measure energy, work, or the amount of heat generated or absorbed. It is typically used to measure energy in various forms, such as the kinetic energy of a moving object, the energy of a wave, or the energy stored in an electric field or a magnetic field. In the SI, one joule is equal to the energy expended by a force of one newton when its point of application moves one meter in the direction of the force. The joule is also a unit of energy in many other systems of measurement, including the British thermal unit (BTU), the calorie, and the watt hour.

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The potential difference across the battery is 4.2 volts.

What is  potential difference?

Potential difference is described as the amount of work energy required to move an electric charge from one point to another.

The unit of potential difference is the volt.

The potential difference across the battery is  calculated using the equation:

V = W / Q

Workdone  = Q * Vbattery = 2.3 C * 4.2 J/C = 9.66 J

Therefore, the voltage across the battery can be calculated as:

V = W / Q = 9.66 J / 2.3 C = 4.2 V

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These come closest to the mass of Jupiter as (a) 0.000951; (b) 0.000955.

Kepler's laws describe the motion of planets in their orbits around the sun.

This question involves using Newton's version of Kepler's Third Law to calculate the mass of Jupiter. Kepler's Third Law states that the square of the period of revolution of a planet/moon around a central object is proportional to the cube of the semimajor axis of the orbit. Newton's version of the law introduces the masses of the two objects in the equation, allowing us to solve for the mass of the central object (in this case, Jupiter) if we know the period and semimajor axis of a moon's orbit around it.

For part (a), we are given the period and semimajor axis of Ganymede's orbit and asked to select the closest answer for the mass of Jupiter when using this data. By plugging the values into Newton's version of Kepler's Third Law and solving for Jupiter's mass, we get an answer of 0.000951 solar masses.

For part (b), we are given the period and semimajor axis of Europa's orbit and asked to select the closest answer for the mass of Jupiter when using this data. Again, by plugging the values into the equation and solving for Jupiter's mass, we get an answer of 0.000989 solar masses.

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