Confidence Interval is : (78.74,95.26)
To construct a 95% confidence interval for the true mean, u, we use the formula:
CI = x ± (tα/2)(s/√n)
where x is the sample mean, s is the sample standard deviation, n is the sample size, and tα/2 is the critical value from the t-distribution with n-1 degrees of freedom and a significance level of α/2 (0.025 for a 95% confidence interval).
A confidence interval is a range of values that is likely to contain the true value of a population parameter with a specified level of confidence. In statistics, it is common to use a sample of data to estimate the value of a population parameter, such as the mean or the proportion
Plugging in the values from the problem, we get:
CI = 87 ± (2.064)(20/√25)
= 87 ± 8.256
= (78.744, 95.256)
Therefore, the answer is :
B) (78.74, 95.26).
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A Car of mass 100kg accelerates from 5mls to 10m/s over 2 seconds find the net force acting on it ?
please helppppppppp me
Answer:
250 Newtons
Explanation:
To find the net force acting on the car, we can use the equation:
F = ma
Where F is the net force, m is the mass of the car and a is the acceleration.
We know that the mass of the car is 100 kg and the acceleration is (10m/s - 5m/s) / 2 seconds = 2.5 m/s²
So, the net force acting on the car is:
F = (100 kg) x (2.5 m/s²) = 250 N
Therefore, the net force acting on the car is 250 N
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(YOU WILL BE MARKED AS BRAINLIST IF YOU ANSWERED WITH COMPLETE STEPS)
Determine how much it would cost to heat a home's water for an hour every day for 60 days using a 2kW immersed rod at a rate of Rs. 1.50 per unit.
Why do you use the word "immersion"?
The act of totally coating something with a substance by dipping it into is called immersion. It could be literal—like diving headfirst into water—or metaphorical—like entirely giving yourself over to a task.
Why do we use immersion?
Answer and justification The resolution of a microscope is improved with immersion oil. It lessens the loss in light brought on by the specimen's refraction (light bending). When light passes through a different material, like a piece of glass
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1. write if true or false
Centrifuge works on centripetal force
b. separating funnel is used to separate blood cells from blood samples
c. Rotors are used in physical separation of a solid and a liquid.
d. Centrifuge is used to separate suspended particles from suspension
e. Milk and water are separated by using separating funnel
f. The role of condenser is connected to hot water supply
Answer:
a: True centrifuge works on centripetal force.
b: False separating funnel can't be used to separate blood cells from samples.
e: False separating funnel cannot separate milk and water.
f: Condenser receives high pressure gas from the compressor and convert this gas to a liquid.
When reggie stepped up to the plate and hit a 0. 150-kg fast ball traveling at 36. 0 m/s, the impact caused the ball to leave his bat with a velocity of 45. 0 m/s in the opposite direction. If the impact lasted for 0. 002 s, what force did reggie exert on the baseball?.
When reggie stepped up to the plate and hit a 0. 150-kg fast ball traveling at 36. 0 m/s, the impact caused the ball to leave his bat with a velocity of 45. 0 m/s in the opposite direction. If the impact lasted for 0. 002 s, the force did reggie exert on the baseball is 6075 N.
The force can be calculate as follows:
assuming that the ultimate direction of motion is positive and the starting direction of motion before to impact is negative.
m = 0.15 kg, or the mass of the ball being struck
v0 is the ball's pre-impact initial velocity and is equal to 36 m/s.
45 m/s is the ball's final speed after impact, or v.
Time of Impact: 0.0020 seconds
Reggie's force on the ball was F.
Incorporating impulse-change into the momentum equation
F t = m (v - v₀)
F (0.0020) = (0.15) (45 - (- 36))
F = 6075 N
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to move a figure in any direction without rotation
Translation is one of geometry transformation which is used to move a figure in any direction without rotation.
Definition of Geometry TransformationTransformation means changing a structure to increase, decrease or rearrange its elements. Meanwhile, geometry means a branch of mathematics that explains the nature of lines, angles, planes, and space.
Based on these two definitions, geometric transformations can be concluded as changes in the shape of a line, angle, space, and plane.
In everyday life, this geometric transformation is usually used to create works of art and architectural designs.
About Translation (Shift)Translation or shift is a type of geometric transformation where there is a displacement or shift from a point to a certain direction in a straight line plane. As a result, every plane in the straight line will also be shifted in a certain direction and distance.
Translation basically only changes the position, not the shape and size of the field.
A simple example of translation is an event that occurs on a slide. Where the same person with a field changes positions from the starting point (start of the slide) and the ending point (end of the slide). Another example is a vehicle traveling on a straight road, from this incident it can be seen that the vehicle which is an object does not change size but only changes places.
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After 5 days, what is the expected frequency of the wrinkly-spreader morphotype in the static (not shaken) microcosm
After 5 days, the expected frequency of the wrinkly-spreader morphotype in the static (not shaken) microcosm will depend on the initial frequency of the morphotype in the microcosm.
What is initial frequency?The frequency of a repeated event is its number of instances per unit of time. Another name for it is temporal frequency, emphasizing how it differs from spatial frequency & angular frequency. The period is indeed the reciprocal of a frequency since it is the length of time for one cycle inside a repeating occurrence. For example: if a newborn baby's heart beats at a frequency of 120 times a minute, its period —the time interval between beats— is half a second. Frequency is an important parameter used in science and engineering to specify the rate of oscillatory and vibra tory phenomenon.
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Man pushes a shopping cart to the right with 93 N of force and travel 23 m to tge right how much work is done on shopping cart ?
A 50kg student is climbing a rock face with a constant speed. Neglect any friction and drag impeding her motion. How much force is the student generating up the hill?
Answer:
Below
Explanation:
50 * 9.81 = 490.5 N since there is no acceleration, climber must only overcome the accel of gravity
A projectile with mass m is fired with initial horizontal velocity vx from height.
The change that will would have resulted in a greater time for a projectile of mass m fired with an initial horizontal velocity vx from a height h above the ground is increase the height traveled by the projectile to 2h (option D)
The projectile's flight time is determined using the formulas below;
h = v₀t + ½ gt²
Where:
h = height (m)
v₀ = the starting velocity (m/s)
t = time (s)
g = the acceleration due to gravity (9.8m/s²)
v₀ (initial vertical velocity of the projectile) = 0
Hence,
2h = gt²
t = [tex]\sqrt{\frac{2h}{g} }[/tex]
The projectile's mass has no impact on how long it takes to travel if friction caused by air resistance is disregarded.
In the vertical direction, the initial horizontal velocity is not taken into account.
Therefore, increasing the projectile's height to 2h is the only method to lengthen its flight time.
The question is incomplete, it should be:
A projectile with mass m is fired with initial horizontal velocity vx from height h above level ground. Which change would have resulted in a greater time of flight for the projectile? [Neglect friction.]
A. decreasing the mass to m/2
B. decreasing the height to h/2
C. increasing the initial horizontal velocity to 2vx
D. increasing the height to 2h
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Patti is driving her son, Jacob, to college at Prairie View. Patti is driving the legal posted speed limit of sixty-five miles per hour. Steve is on his way to PV, as well, but he is late and is driving a brisk 104 mi/h. Relative to Steve, Patti’s velocity is
Answer:
-39 mph
Explanation:
65 - 104 = -39 mph
A body moves in a perfectly circular path at constant speed. Are there forces acting on the system?.
A body moves in a perfectly circular path at constant speed. There must be a force pulling toward the center of the circle. According to Newton's first law, there must a force present to keep the object moving in a circle rather than a straight line.
About Newton's First lawNewton's 1st law is to show the resultant force acting on an object with a composition equal to zero, so that an object that is initially at rest will always remain at rest. While an object initially moves in a straight line, it will forever continue to move in a straight line at a constant speed. So it can be concluded that in Newton's Law 1 the acceleration of an object is directly proportional to the force acting on the object and inversely proportional to the mass or weight of the object itself.
The properties of objects in Newton's 1st law tend to maintain their original state with the same inertia or degree of inertia. That is why Newton's 1st Law is also known as the Law of Inertia. The shape of the moment of inertia in Newton's 1st Law occurs in various forms, for example linear moments of inertia, mass moments of inertia, and polar or polar moments of inertia.
The magnitude of the stresses also differ according to the material used, such as bending stress and torsional stress, so the calculation can be based on the moment of inertia
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Which phrase describes an activated complex? a. It is the potential energy required for a reaction to occur. B. High-potential energy and stable c. Low-potential energy and stable d. Low-potential energy and unstable.
The phrase describes an activation of complex is (a) It is the potential energy required for a reaction to occur.
What is activated complex?Activated complex is a process when reactant is interacted each other to form the product. Activated complex produce the highest energy in the chemical reaction because of its unstable atom activity and molecule reaction. To activated the activated complex, we need to a kinetic energy that is higher or equal to potential energy required for a reaction to occur. In short, activated complex is a process to change potential energy into kinetic energy in the reaction to create a product.
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Dipole-dipole forces are considered the most important forces in polar substances because the London dispersion forces
They are attractive forces between two permanent dipoles, or two induced dipoles.
What is dipoles?A dipole is a type of electrical charge consisting of two equal and oppositely charged poles, or points of charge. The two poles are usually represented by a positive and negative sign. Dipoles are commonly found in molecules, atoms, and other types of particles, and are responsible for many of the physical and chemical interactions we observe in nature. Dipoles can also be created artificially with electrical equipment, such as in the case of an electric dipole antenna, which is used to transmit or receive radio signals. In a dipole, the two charges attract each other, which creates a field of force between them. The strength of this field depends on the distance between the two charges. Dipoles also exist in a magnetic form, in which the two poles have opposite magnetic poles and create a magnetic field.
This type of intermolecular force is a type of Van der Waals force and is much stronger than the London dispersion forces. They are responsible for most of the physical properties of polar substances, such as boiling points, melting points, and solubility.
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summary of a article“flexible benefits”
For G60 Galvanized tubing, i temperature of the urface important to apply a clear coat?
Yes it is important that the temperature of the surface important to apply a clear coat for G60 Galvanized tubing.
The end of a steel sheet (either hot- or cold-rolled) is sheared and welded to the preceding coil to form one continuous coil.A high-performance tension leveler is used to straighten the strip, resulting in excellent flatness.
The strip is dipped in an alkali bath and brushed for preliminary degreasing, and then undergoes alkaline electrolytic degreasing. This removes impurities on the material surface that could harm the zinc coating. The strip is then dipped in a acidic bath to activate the surface.
The zinc-coated strip is given various chemical treatments according to intended use, including phosphate treatment for excellent paintability, and chromate free special treatment for good corrosion resistance.
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A 1000 kg car is moving at 30. m/s and comes to a rest after 6.0 seconds. What is the force on the car?
The force of the car would be = 5000m/s²
What is force?Force is defined as the external push or pull that makes an object to move from one position to another.
Mathematically, force is defined as the product of mass and acceleration of a moving object.
That is, F = mass × acceleration
But acceleration= velocity/time
F = mass × velocity/time
mass = 1000kg
velocity = 30 m/s
time = 6 second
Force = 1000× 30/6
= 30000/6
= 5000 m/s²
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What is the relationship between current and voltage across a circuit?
O inversely proportional
O no relationship
O joint variation
O directly proportional
The relationship between current and voltage across a circuit is directly proportional. It is given as per the Ohm's law. Thus, the correct option is D.
What is Ohm's law?Ohm's law states that the current in an electric circuit through a conductor between the two points is directly proportional to the voltage across the two points of the conductor. Introducing the constant of proportionality, the resistance (R), where one arrives at the usual mathematical equation which describes this relationship:
I = V/ R
V = IR
where, I is the electric current flowing through the circuit,
V is the voltage of the electric circuit,
R is the resistance across the electric circuit
More specifically, the Ohm's law states that the R in this relation is a constant, which is independent of the electric current in the circuit.
Therefore, the correct option is D.
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What type of energy is a bicycle going uphill?
When going up a hill, the type of energy which a bicycle has is potential energy.
What is potential energy?A potential energy is a stored energy which depends upon the relative position of various parts of a system. When it is compressed or stretched, a spring has more potential energy. Any object which is lifted from its resting position has stored energy because it has a potential to do work when released.
When going up a hill, a bicycle has potential energy. As we climb to get up the hill, we gain potential energy.
Potential energy is the stored energy in any object by virtue of its position or arrangement of parts. However, it is not affected by the environment outside of the object, such as air or height. On the other side, kinetic energy is the energy of an object's particles in motion.
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According to the NEC, a Class 1 power limited circuit
must be supplied from a source having a rated output of
not more than _____ volts and 1000 volt-amperes.
According to the NEC, a class 1 power limited circuit must be supplied from a source having a rated output of not more than 30 volts and 1000 volt-amperes.
NEC stands for National Electrical Code. It is a part of National Fire Protection Association (NFPA) of united states. NEC provides the standard and code for the safe installation of electrical wiring and equipment.
Class 1 power limited has a device that controls or regulates the current from the power source. This device prevents the overflow of the current in the circuit and thereby also prevents the short circuiting, overload, ground fall, etc.
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How can we relate Force and Weight? What are their differences?
Force and weight are related in that weight is a type of force. Specifically, weight is the force exerted on an object due to gravity. It is measured in units of force, such as newtons (N) or pounds (lb).
Weight is a scalar quantity, which means it has magnitude but no direction. It is determined by the mass of an object and the acceleration due to gravity.
The formula for weight is:
Weight = mass x gravity (W=mg)
On the other hand, Force is a vector quantity, which means it has both magnitude and direction. Force can be described as the push or pull on an object. It can be due to a variety of causes, such as friction, tension, or pressure. It is also measured in units of force, such as newtons (N) or pounds (lb).
So, to relate force and weight, weight is a force that acts on an object due to gravity, whereas force can be any kind of push or pull on an object, and weight is one of them.
To conclude, weight is a force that is exerted on an object due to gravity, while force is a more general term that can refer to any type of push or pull on an object. The key difference between the two is that weight is a scalar quantity while force is a vector quantity.
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Across the northern part of our continent, many bodies of water are covered by a thick layer of ice for many months of the year. Which properties of water make it possible for life to continue to exist in those lakes? Water has a high specific heat in comparison to other substances. Water has a high solvent capacity for a variety of substances. Old water is denser than ice, so the ice floats to the top. a I only b I and II only c I and III only d I, II, and III
Answer:
Bbbbbbbbbbbbbb. bbbbbbbbbbbbbbb
The properties of water that makes it possible for life to continue to exist in lakes covered by a thick layer of ice for many months of the year are:
Water has a high specific heat in comparison to other substancesCold water is denser than ice, so the ice floats to the top.The correct option is C.
How does the water in frozen lakes support life?The water in frozen lakes supports life because of the following properties f water;
Water has a high specific heat in comparison to other substancesCold water is denser than ice, so the ice floats to the top.As soon as the water turns to ice, the ice loses a lot of its water-like density and continues to float on the lake's surface. Water loses density when it grows colder below 4° Celsius, forcing water that is about to freeze to float to the top.
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a mechanical wave transmits energy through a vacuum. true or false?
The given statement “A mechanical wave transmits energy through a vacuum” is false, because mechanical waves cannot move through areas of space where there are no particles because their energy transmission depends on particle contact.
Waves that are classified as mechanical waves require the presence of a medium in order for their energy to be transmitted from one place to another. This makes mechanical waves incapable of transmitting their energy through a vacuum. There are three distinct categories of mechanical waves: transverse waves, longitudinal waves, and surface waves. Mechanical waves have many interesting characteristics, but one of the most noteworthy is their measurement, which is given by displacement divided by wavelength.
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The force of gravity between these pairs of objects:a 1-kg mass and 2-kg mass that are 1 m apart;
The force of gravity between the two objects is 1.33 x 10⁻¹⁰ N.
What is the force of gravity between the two objects?
The force of gravity between the two objects is calculated by applying Newton's law of universal gravitation.
Fg = Gm₁m₂ / r²
where;
G is universal gravitation constantm₁ is mass of first objectm₂ is mass of second objectr is the distance between themFg = ( 6.67 x 10⁻¹¹ x 1 kg x 2 kg ) / ( 1 m )²
Fg = 1.33 x 10⁻¹⁰ N
Thus, the force of gravity is proportional to the product of the masses and inversely proportional to the square of the distance between them.
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Convert 1.5 days to s
Convert 5.2 ft to m
Convert 3600 s to hr
Convert 10.2 m to ft
Convert 305 g to kg
Convert 180 pm to m
Convert 73 kg to g
Convert 1,366 s to min
Convert 86,000 m to km
Please answer these and SHOW ALL WORK, please please please show ALL WORK. Need this done right now please help! Thank you so much!
According to the question, the answer of the given convert will be: 1.5 days = 36 hours, 5.2 ft = 1.58 m, 3600 s = 1 hr,10.2 m = 33.46 ft, 305 g = 0.305 kg, 180 pm = 0.18 m, 73 kg = 73000 g, 1,366 s = 22.77 min, 86,000 m = 86 km.
What is convert?
Convert is a term used to describe the process of changing one type of data into another. This could include changing a file format, changing a text document into a spreadsheet, or converting a physical document into a digital file. It is a useful tool in many industries and is often used to make sure that data is stored in a standard format, making it easy to access and use. Convert is used in a variety of settings, including media, accounting, and business. It is also used to help ensure data security and accuracy.
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A transformer is opperating at a power of 508 w. The primary coil has 17 A of current 88 turns, the secondary coil has 42 turns. What is the voltage in the
secondary transformer? Round to 2 decimal places.
The voltage in the secondary transformer will be 14.26V.
How can you tell the difference between a transformer's primary and secondary windings?Primarily wound is always on the input side. The side connected to the voltage source is always on this side. Secondary windings are always the output side. Always connected to the load is this side.
Given, Power = 508 W
current in primary coil, i = 17A
number of turns in primary coil, N1 = 88
number of turns in secondary coil, N2 = 42
by using power formula, P = Vi voltage of primary coil can be calculated,
P = V1×i
508 = V1 × 17
V1 = 508/17
V1 = 29.88 V
now voltage of secondary coil, V2 = (N2/N1) × V1
V2 = (42/88)×29.88
V2 = 1254.96/88
V2 = 14.26 V
The voltage in the secondary transformer will be 14.26V.
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Heat is absorbed during which of the following activities
Endothermic chemical reactions occur when the reactants take in heat energy from their environment to create products. A cooling effect is produced by these reactions because they cause their surroundings to become cooler.
The definition of endothermic reactionsThe term "endothermic" refers to chemical reactions that either completely absorb or use energy. When bonds inside the reactants are broken, more energy is taken in than is released when fresh bonds form in the product lines. This is known as an endothermic reaction.
five endothermic reactions what are they ?Examples of endothermic processes include photosynthesis, the evaporation of liquids, the melting of ice and dry ice, the cracking of alkanes, thermal decomposition, the oxidation of ammonium chloride in water, and many others.
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if something being dropped has a mass of 0.4 kg, and the height from the floor to the top is 15 m, what would have been the change of PE
If something being dropped has a mass of 0.4 kg, and the height from the floor to the top is 15 m then 20J would be the change in PE.
What is PE's formula?The force acting on the two objects affects the potential energy formula. The formula for gravitational force is P.E. = mgh, where g is the acceleration caused by gravity (9.8 m/s2 at the earth's surface) and h is the height in meters.
How much potential energy is there?Potential energy is a form of stored energy that is dependent on the relationship between different system components. When a spring is compressed or stretched, its potential energy increases. If a steel ball is raised above the ground as opposed to falling to the ground, it has more potential energy.
Given :
Mass of the object M=0.4 kg
Height up to which it is raised h=5 m
Potential energy P.E=Mgh
g = 10 m/s^2
P.E= 0.4×10×5=20J
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20J would be the change in PE for a drop with a mass of 0.4 kg and a height of 15 m from the ground to the top.
What is the PE equation?The potential energy formula is impacted by the force operating on the two objects.
P.E. = mgh, where g is the acceleration brought on by gravity, h is the height in metres, is the formula for gravitational force.
What is the amount of potential energy?Potential energy is a type of stored energy that depends on how various system elements interact with one another. A spring's potential energy rises when it is crushed or stretched. A steel ball has higher potential energy if it is lifted above the ground as opposed to falling to the ground.
Given:
M=0.4 kg, the object's mass
It is raised to a height of h=5 m.
Powerful potential P.E=Mgh
g = 10 m/s^2
P.E= 0.4×10×5=20J.
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The driver of a car traveling at 27.5 m/s applies the brakes and undergoes a constant
deceleration of 1.09 m/s^2.
How many revolutions does each tire make
before the car comes to a stop, assuming that
the car does not skid and that the tires have
radii of 0.15 m?
Answer in units of rev.
A 0. 500 kilogram cart traveling to the right on a horizontal frictionless surface.
After the collision, the two-cart system's total momentum was 0.22 kg m/s in magnitude. The correct answer is A.
To find the magnitude of the total momentum of the two-cart system after the collision, we can use the principle of conservation of momentum. This principle says that the total momentum of a closed system, like the two carts in this case, stays the same unless an outside force changes it.
First, calculate the initial momentum of the first cart:
momentum = mass x velocity p1 momentum = 0.500 kg x 2.20 m/s momentum = 1.10 kg m/sThen, calculate the initial momentum of the second cart:
p2 = 0.800 kg x -1.10 m/s p2 = -0.88 kg m/s (negative sign indicates that the cart is moving in the opposite direction).After that, we need to calculate the total initial momentum:
p_initial = p1 + p2 p_initial = 1.10 kg m/s + (-0.88 kg m/s) p_initial = 0.22 kg m/sUse the principle of conservation of momentum to calculate the final momentum:
p_initial = p_final 0.22 kg m/s = p_finalSo the magnitude of the total momentum of the two-cart system after the collision is 0.22 kg m/s.
This question isn't complete. Here's how it should be written and how answer choices should be given:
A 0.500-kilogram cart traveling to the right on a horizontal, frictionless surface at 2.20 meters per second collides head on with a 0.800-kilogram cart moving to the left at 1.10 meters per second. What is the magnitude of the total momentum of the two-cart system after the collision?
A. 0.22 kg m/sB. 0.39 kg m/sC. 1.98 kg m/sD. 4.29 kg m/sThe correct answer is A.
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The gravitational acceleration on the surface
of planet Zeb is the same as on the surface of
the earth, but planet Zeb has twice the radius
of the earth. What must be the ratio of the mass of
planet Zeb to the mass of earth?
1) 1/8
2)2
3)8
4) 1/4
5) 1 (the same since g is the same)
6) 1/10
7)4
8)10
9)6
Answer:
The ratio of the mass of planet Zeb to the mass of Earth must be 8.
Explanation:
The gravitational acceleration on the surface of a planet is determined by the mass of the planet and its radius. The equation is g = GM/r^2, where G is the gravitational constant, M is the mass of the planet, and r is the radius of the planet.
If we assume that the gravitational acceleration on the surface of both planets is the same, we can set the equation for Earth equal to the equation for planet Zeb and solve for the ratio of the mass of planet Zeb to the mass of Earth.
g(earth) = GM(earth)/r(earth)^2 = GM(zeb)/r(zeb)^2
We know that r(zeb) = 2 * r(earth)
so,
GM(earth)/r(earth)^2 = GM(zeb)/(2*r(earth))^2
GM(zeb)/GM(earth) = (2*r(earth))^2 /r(earth)^2
GM(zeb)/GM(earth) = 4*4
GM(zeb)/GM(earth) = 16
So the ratio of the mass of planet Zeb to the mass of Earth is 16/1 = 8