surface gravity formula
\(g=\frac{GM}{r^{2} }\)
\(g\) is the surface gravity in m/s²
\(G\) is the gravitational constant 6.67408x10⁻¹¹ m³/kgs²
\(M\) is the mass of the object in kg
\(r\) is the radius of the object in m
The Earth’s mass is 5.972x10²⁴kg,
Jupiter’s mass is 1.898x10²⁷ kg,
the Earth’s radius is 6371 km,
Jupiter’s radius is 69911 km
Calculation for earth's surface gravity\(g=\frac{6.67408X10^{-11}X5.972X10^{24} }{(6.371X10^{6} )^{2} }\)
\(g=9.82 m/s^{2}\)
Calculation for Jupiter's surface gravity\(g=\frac{6.67408X10^{-11}X1.898X10^{27} }{(6.9911X10^{7} )^{2} }\)
\(g=25.92 m/s^{2}\)
conclusion
\(\frac{25.92}{9.82} = 2.63\)
the surface gravity of Jupiter is 2.63 times that of Earth.
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Which phrase describes a risk associated with producing energy in a nuclear power plant?
Answer:
Production of wastes needing long-term storage
Explanation:
Which of the following present-day organisms is most closely related to this early species?
A. Fish
B. Squirrel
C. Bird
D . Rabbit
Answer:
D.
Explanation:
How long will it take a runner to complete a marathon race of 42. 2 km if that runner can maintain an average speed of 4. 1 m/s?
It would take the runner approximately 10,268.29 seconds (or about 2 hours, 51 minutes, and 8 seconds) to complete a marathon race of 42.2 km, maintaining an average speed of 4.1 m/s.
We can use the formula:
time = distance ÷ speed
to calculate the time it would take the runner to complete a marathon race of 42.2 km, given an average speed of 4.1 m/s.
First, we need to convert the distance to meters, as the speed is given in meters per second:
42.2 km = 42,200 m
Now, we can substitute the values into the formula:
time = distance ÷ speed
time = 42,200 m ÷ 4.1 m/s
time ≈ 10,268.29 s
Thus the time that the runner would take is 10,268.29 seconds to complete a marathon race.
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The field between two charged parallel plates is kept constant. If the two plates are brought closer together, the potential difference between the two plates.
Since the electric field between the plates is constant, If the two plates are brought closer together, the potential difference between the two plates decreases
The relation between potential difference and the electric field is given by
ΔV = E.d
Since the electric field is maintained constant, the potential difference is directly inversely proportional to the distance between the plates.
The potential difference between the plates will therefore likewise decrease if the distance between the plates is reduced, we will state in this case.
The energy required to move a unit charge, or one coulomb, from one point to the other in a circuit is measured as the potential difference between the two points. Potential difference is measured in volts or joules per coulomb.
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why should the estimated vmax always be higher than your highest measured velocity?
The estimated Vmax is always higher than the highest measured velocity, as the estimated Vmax represents the theoretical maximum velocity that the enzyme can achieve.
In enzyme kinetics, Vmax refers to the maximum velocity or rate of an enzyme-catalyzed reaction. It represents the theoretical maximum rate at which the enzyme can convert substrate into product when the enzyme is fully saturated with substrate.
When measuring the velocity of an enzyme-catalyzed reaction, it is possible that the reaction does not reach the maximum velocity due to various factors such as limitations in substrate concentration or other experimental conditions. Therefore, the measured velocity will always be lower than the theoretical maximum velocity or Vmax.
In other words, Vmax represents an asymptotic value that can never be exceeded in practice. It is the maximum velocity that the enzyme can reach under ideal conditions, where the enzyme is fully saturated with substrate. Therefore, it makes sense that the estimated Vmax is always higher than the highest measured velocity, as the estimated Vmax represents the theoretical maximum velocity that the enzyme can achieve.
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How can you levitate i the air? CORRECT ANSWERS PLEASE
Answer:
Impossible
Explanation:
You cant levitate in the air
Answer:
The trick is performed by standing on the front of one foot, while raising the one foot and the visible part of the other foot, blocking the view of the front of the supporting foot with the other foot and rear part of the supporting foot. This illusion was first described by Ed Balducci in 1974.
Explanation:
the mean of a dataset is 10 and the standard deviation is 2. what is the z-score of the data value 4
The z-score of the data value 4 is -3.
To calculate the z-score of a data value,
we use the formula z = (x - μ) / σ,
where
x is the data value,
μ is the mean of the dataset, and
σ is the standard deviation of the dataset.
In this case, the mean of the dataset is 10 and the standard deviation is 2. Therefore, when finding the z-score of the data value 4, we calculate (4 - 10) / 2 = -3.
Therefore, the z-score of the data value 4 is -3.
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liquid water at temperatures below freezing is termed ________.
Liquid water at temperatures below freezing is termed "supercooled water."
Supercooled water refers to liquid water that exists in a liquid state below its freezing point of 0 degrees Celsius (32 degrees Fahrenheit) without undergoing solidification. This phenomenon occurs when water is in a pure and exceptionally pure state, free from impurities and nucleation sites that can initiate the formation of ice crystals.
Under normal conditions, water freezes into ice when its temperature reaches or falls below 0 degrees Celsius. However, if the water is pure and lacks nucleation sites, such as dust particles or imperfections on container surfaces, it can remain in a liquid state even at temperatures below freezing.
Hence, Liquid water at temperatures below freezing is termed supercooled water.
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Which of the following was not a main idea of Dalton's atomic theory?
1. Compounds contain atoms of more than one element.
2. There are four elements that make up matter: air, water, fire, and earth.
3. All atoms of the same element have the same mass, while atoms of different elements have different masses.
4. All matter is composed of atoms.
Answer:
1 IS CORRECT
Explanation:
An isolated system can exchange ______ with its surroundings
a. both matter and energy
b. matter but not energy
c. energy but not matter
d. neither matter nor energy
Explanation:
An isolated system cannot exchange any heat, work, or matter with the surroundings, while an open system can exchange energy and matter.
a spider is crawling at 630 ft/hr. the room is 15 ft wide. How long does it take the spider to travel
The time taken for the spider crawling at 630 ft/hr to travel through the 15 ft wide room is 42 hours
How do I determine the time taken for the spider to travel?From the formula of speed, we can obtain a formula for calculating time as illustrated below:
Speed = Distance / time
Cross multiply
Speed × time = Distance
Divide both sides by speed
Time = Distance / speed
Using the above formula, we can obtain the time taken from the spider to travel through the room. Details as follow:
Speed of spider = 630 ft/hrDistance travel = 15 ftTime taken to travel =?Time = Distance / speed
Time = 630 / 15
Time = 42 hours
From the calculation made above, we can conclude that the time taken is 42 hours
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If a beam of light travels through a piece of glass at 90,000 miles per second, the refractive index of the glass is
When an object slides,there is less friction than when it rolls
Answer:
False
Explanation:
Rolling friction takes place when an object rolls on the surface. Sliding friction takes place when two surfaces are rubbed against each other. Rolling friction is much less than sliding friction for same pair of bodies. When one body rolls upon another, there is theoretically no sliding or slip between them.
when white light strikes this object, the light is completely absorbed, with none of it transmitted or reflected. which type of object could this be?(1 point)
The object which completely absorbed the white light can be a Black Body.
An object that completely absorbs all of the light that strikes it, with none transmitted or reflected, is referred to as a black body.
A black body is a theoretical concept in physics, and is characterized by its ability to absorb all wavelengths of electromagnetic radiation that fall upon it.
In reality, there are no perfect black bodies, but materials that are dark and have a high absorption coefficient, such as carbon black, can approach this ideal.
Black bodies play an important role in thermal radiation and the study of thermodynamics, as their absorption and emission of electromagnetic radiation is well understood and can be used to study other physical systems.
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7. Sally's mass on Earth is 50 kg. What is her weight on the moon?
The acceleration due to gravity she experiences on the moon is 1.652
a. 490 N
b. 8.3 kg
c. 50 kg
d. 82.6 N
Answer:
82.6
Explanation:
Race Car A accelerates on a straight track from 0 to 100 kilometers/second in 6 seconds. Race Car B accelerates on a straight track from 0 to 100 kilometers/second in 5 seconds. Compare the velocities and accelerations of the cars during the race.
(Hints: Talk about starting and ending velocity of each car. Talk about the acceleration of each car.)
From the calculation, we can conclude that both race car A and B have the same magnitude of velocity but accelerate at different magnitude
VELOCITY AND ACCELERATION
The rate of change of displacement is called Velocity. While acceleration is the rate of change of velocity.
Given that a race Car A accelerates on a straight track from 0 to 100 kilometers/second in 6 seconds.
Since acceleration = \(\frac{Change in velocity}{time taken} \)
a = 1000(100 - 0)/6
a = 100000/6
a = 16666.67 m/\(s^{2} \)
And race Car B accelerates on a straight track from 0 to 100 kilometers/second in 5 seconds.
acceleration = \(\frac{Change in velocity}{time taken} \)
a = 1000(100 - 0)/5
a = 100000/5
a = 20000 m/\(s^{2} \)
From the calculation above, we can conclude that both race car A and B have the same magnitude of velocity but accelerate at different magnitude.
Race car A accelerates at 16666.67 m/\(s^{2} \), while race car B accelerates at 20000 m/\(s^{2} \)
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a 35g ball is lifted up from 1.0m to 3.0m. How much work is done?
\(\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}\)
Actually Welcome to the Concept of the Work And Energy.
So we here use the formula as,
W= Mgh
so after solving we get as,
W = 0.686 Joules
What things about the resistors in this circuit are the same for all three? A. Current I B. Potential difference Δ V C. Resistance R D. A and B E. B and C
The potential difference across all three resistors in a series circuit is the same, as the voltage from the battery is divided across the resistors in proportion to their resistance values. Therefore, option B (potential difference ΔV) is the same for all three resistors.
The resistance of each resistor is different, so option C is not the same for all three resistors.
The current through each resistor is the same, as there is only one path for the current to flow in a series circuit. Therefore, option A (current I) is the same for all three resistors.
So the correct answer is D, "A and B".
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TRUE/FALSE. when air masses of different densities collide, the less dense air mass is forced to rise through frontal lifting.
TRUE. When air masses of different densities collide, the less dense air mass is forced to rise through frontal lifting.
In meteorology, a front is a transition area between two air masses of different densities. The atmosphere's temperature, moisture content, and wind direction are all influenced by these air masses. The types of fronts are warm, cold, stationary, and occluded fronts. The front types are determined by the characteristics of the air masses and the direction of their movement. The types of the front are Warm front: When a warm air mass replaces a cold air mass, it is called a warm front. Warm fronts typically move more slowly than cold fronts. Cold front: A cold front happens when a cold air mass replaces a warm air mass. They have steeper pressure gradients than warm fronts, and they travel faster. Rain, thunderstorms, and cold temperatures are all common with this type of front. Stationary front: This occurs when two air masses meet and neither advances. There is a lot of rain along the stationary front. Occluded front: This is a type of front that develops when a cold front overtakes a warm front. When the cool air catches up to the warm air, an occluded front forms. The fronts can cause precipitation to fall.
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Suppose you push harder so that P increases to 220 N and the box just begins to move. Based on this result, what is the STATIC coefficient of friction for the box & tabletop? (Show your work)
The static coefficient of friction between the box and the tabletop is 220/mg.
The maximum static frictional force that the tabletop can exert on the box is given by:
\(F_{f_{max}} = \mu_s \times F_{normal}\)
where \(\mu_s\) is the static coefficient of friction between the box and the tabletop, and F_normal is the
Assume the mass of the box is m kg.
normal force exerted by the tabletop on the box, which is equal to the weight of the box, i.e., \(F_{normal} = m \times g\), where g is the acceleration due to gravity.
When you push the box with a force of 220 N, the box just begins to move, which means that the static frictional force is equal to the applied force:
\(F_{f_{max}} = 220 \ N\)
Therefore, the static coefficient of friction is:
\(\mu_s = F_{f_{max}} / F_{normal}\)
Substituting the expression for \(F_{normal}\) and solving for \(\mu_s\), we get:
\(\mu_s = (220 \ N) / (m \times g)\)
Therefore the coefficient of friction is 220/mg.
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Q. What is the acceleration of this object? What is its initial velocity?
For acceleration, can we do the second derivative? I don't know how to do initial velocity.
Answer:
(1) - v(t) = 9.18t - 1.12
(2) - a(t) = 9.18 m/s²
Explanation:
We are given the position function, y(t) = 4.59t² - 1.12t + 0.03. We are asked to determine the following:
The velocity functionThe acceleration function\(\hrulefill\)
To find the velocity function simply take the derivative of the position function.
y'(t) = v(t) = 9.18t - 1.12
Using the graph we can find the object's initial velocity by pugging in t=0.220 s.
=> v(0.220) = 9.18(0.220) - 1.12
=> v(0.220) = 0.8996 m/s \(\hrulefill\)
To find the acceleration function either take two derivatives of the position function or one of the velocity function.
y''(t) = v'(t) = a(t) = 9.18 m/s²
Thus, the object is speeding up with constant acceleration.
a 600-w tv receiver is turned on for 4 hours with nobody watching it. if electricity costs 10 cents/kwh, how much money is wasted? the wasted money is cents.
A 600-w TV receiver is turned on for 4 hours with nobody watching it. If electricity costs 10 cents/kWh, the amount of money wasted is cents. Therefore, the amount of money wasted in this case is 24 cents.
There are different steps to calculate the money wasted in this case. Here is the step-by-step solution to this problem:
First, we need to calculate the energy consumed in kWh:
Energy consumed = Power × Time Power = 600 W Time = 4 hours
Energy consumed = Power × Time Energy consumed = 600 W × 4 hours
Energy consumed = 2400 Wh.
To convert Wh into kWh, we need to divide the energy consumed by 1000:
Energy consumed = 2400 Wh = 2.4 kWh.
Now, we can calculate the amount of money wasted:
Cost of 1 kWh = 10 cents Cost of 2.4 kWh = 2.4 kWh × 10 cents/kWh
Cost of 2.4 kWh = 24 cents.
A 600-w TV receiver is turned on for 4 hours with nobody watching it. If electricity costs 10 cents/kWh, the amount of money wasted is cents. The energy consumed by the TV receiver can be calculated by multiplying the power rating by the time it is used. In this case, the power rating is 600 W, and the time is 4 hours.
Therefore, the energy consumed is 600 W × 4 hours = 2400 Wh.
To convert the energy consumed into kWh, we need to divide it by 1000. So, 2400 Wh = 2.4 kWh. The cost of electricity is 10 cents per kWh.
Therefore, the cost of 2.4 kWh is 2.4 kWh × 10 cents/kWh = 24 cents.
This is the amount of money wasted by keeping the TV receiver turned on for 4 hours without anyone watching it. It is important to turn off electrical appliances when they are not in use to save electricity and reduce the electricity bill.
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Calculate the reading on voltmeter v²
The reading of the voltmeter can be determined by finding the potential difference across the 2Ω resistance by using the value of current in the circuit. V=IR, here V is the potential difference across a resistance R through which a current I is flowing.
" When the apple falls,does the apple also attract the earth?
Answer:
yes
Explanation:
masses attract each other
with a teeny-tiny force
Assume air resistance is negligible and gravitational acceleration is 32.2 ft/s^2, a projectile is launched at 52 degrees above the horizontal with an initial velocity of 30 ft/s. The launch and landing sites are at the same elevation. What is the projectile's range?
A. 22.0 ft
B. 72.7 ft
C. 27.1 ft
D. 42.0 ft
Answer:
The range of the projectile can be calculated using the formula:
R = (v^2/g) * sin(2θ)
where v is the initial velocity, g is the gravitational acceleration, θ is the launch angle.
Substituting the given values:
R = (30^2/32.2) * sin(2*52)
R = 72.7 ft
Therefore, the answer is B. 72.7 ft.
A ray of light exits from a material with a refractive index of 1.75, traveling into air. The angle of refraction is 25°. What was the original angle of incidence?
Answer:
θi = 47.7°
Explanation:
The formula for the refractive index is as follows:
\(n = \frac{Sin\theta_i}{Sin\theta_r}\)
where,
n = refractive index = 1.75
θi = angle of incidence = ?
θr = angle of refraction = 25°
Therefore,
\(1.75 = \frac{Sin\ \theta_i}{Sin\ 25^o} \\\\(1.75)(Sin\ \ 25^o) = Sin\ \theta_i\\\\\theta_i = Sin^{-1}(0.739)\)
θi = 47.7°
often a vector is specified by a magnitude and a direction; for example, a rope with tension t⃗ exerts a force of magnitude t
To study vectors it is best to select a coordinate system and manipulate it in that coordinate system and the component of A in x is 0.9396 while in y it is 0.342.
What is a vector?An item with both magnitude and direction is referred to be a vector.
A vector can be visualized geometrically as a straight spline, with a pointing in the orientation and a length equal to the value of the vector.
A vector has magnitude and direction so we can form a vector coordinate system and manipulate each vector in that such that it will be clear to study all vectors.
Given the vector A,
Magnitude |A| = 1 units
The angle of inclination from the x-axis is 20°.
Component of A in the x-axis ⇒
|A|cos20° = 1(0.9396) = 0.9396
Component of A in the y-axis ⇒
|A|sin20° =1(0.342) = 0.342
Hence "The component of A in x is 0.9396 while in y it is 0.342".
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Given question is incomplete with the missing image attached below;
calculate the drift velocity of electrons in a 12-gauge copper wire (which has a diameter of 2.053 mm) carrying a 20.0-a current, given that there is one free electron per copper atom. (household wiring often contains 12-gauge copper wire, and the maximum current allowed in such wire is usually 20 a.)
The drift velocity of electron is 4.54 * 10⁻⁴ m/s.
Given that, Density of copper is 8.8* 10³ kg/m³
Charge of an electron is 1.6* 10⁻¹⁹ C
For the density of copper, the number of free electrons n can be calculated by
n = number of electrons per kg * ρ
⇒ (9.4776* 10²⁴ ) (8.8 * 10³ kg/ 1 m³) = 8.314 * 10²⁸ electrons per m³
Diameter of the wire is given as 2.053 mm
Let us calculate A for the provided diameter of wire
A = π * (d/2)² = π * (2.053 /2)² = 3.310* 10⁻⁶ m²
Given, I = 20 A
We know the expression for drift velocity as
Vd = I /(n* A* e) = 20 / (8.314 * 10²⁸ * 3.310* 10⁻⁶ * 1.6* 10⁻¹⁹) = 20 / (4.403 * 10⁴) = 4.54 * 10⁻⁴ m/s
Thus, the drift velocity of electron is 4.54 * 10⁻⁴ m/s.
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What is the distance to school if it took bob 1 hour to get to it going at the speed of 1 km/h.
Answer:
1 km
Explanation:
Bob travels at one km/h and it takes him one hour to get there.
1. What is the sum of 5m and 60 cm ?
2. A boy ran 3m and stopped because he was tired, he had 55cm leave to complete the race. What is the totañ distance of the race in m and cm?
3. A drank 600 ml og milk. How much milk did she drink in litre?
4. Convert 7OA of current into KA
5. What us the product of 2mm and 0.5m
6. Convert 6km to cm
Answer:
1) 560 cm
2) 355cm, 3.55 m
3) .6 liters
4) 0.07 ka
5) 502mm
6) 600,000