fill in the blank. A moving cue ball strikes another ball of equal mass that is initially at rest. If the collision is elastic, the velocity of the cue ball after the collision will be __________ to the velocity of the other ball.
Answers
The velocity of the cue ball after the collision will be equal and opposite to the velocity of the other ball.
This is because in an elastic collision, both momentum and kinetic energy are conserved. Therefore, the total momentum before the collision must be equal to the total momentum after the collision. Since the second ball is initially at rest, its initial momentum is zero. This means that the total momentum before the collision is equal to the momentum of the cue ball.
After the collision, the momentum of the cue ball is transferred to the second ball, causing it to move in the opposite direction with the same velocity as the cue ball had before the collision. Thus, the cue ball will have an equal and opposite velocity to the other ball after the collision. This can be represented mathematically as:
m1v1i = m1v1f + m2v2f
where m1 and m2 are the masses of the cue ball and second ball, respectively, v1i is the initial velocity of the cue ball, v1f is the final velocity of the cue ball, and v2f is the final velocity of the second ball. Since v2f is zero (it comes to rest), we can solve for v1f and get:
v1f = (m1 - m2)/(m1 + m2) * v1i
This shows that the final velocity of the cue ball is opposite in direction to the initial velocity of the second ball and has a magnitude proportional to the difference in mass between the two balls.
To know more about velocity click on below link :
https://brainly.com/question/27793815#
#SPJ11
Related Questions
The escape speed from Planet X is 14000 m/s. Planet Y has the sameradius as Planet X but is twice as dense.
What is the escape speed from Planet Y?
Answers
The escape speed from Planet X is 14000 m/s. Planet Y has the sameradius as Planet X but is twice as dense. The escape speed from Planet Y is also 14000 m/s.
The escape speed of a planet is the minimum speed an object needs to escape the gravitational pull of that planet and move away indefinitely. It depends on the mass and radius of the planet.
In this scenario, Planet Y has the same radius as Planet X but is twice as dense.
Density is defined as mass divided by volume, so if Planet Y is twice as dense as Planet X, it means it has twice the mass within the same volume.
The escape speed is determined solely by the mass and radius of the planet, not its density.
Planet Y has the same radius as Planet X, the gravitational pull at the surface of both planets is the same.
The escape speed from Planet Y would also be the same as that of Planet X, which is 14000 m/s.
Therefore, the escape speed from Planet Y is also 14000 m/s, regardless of its increased density compared to Planet X.
To know more about escape speed, refer here:
https://brainly.com/question/14551132#
#SPJ11
a firefighter is helping the woman shown in the figure below. the woman's weight is 120 lb. what's the tension (in lb) in the rope connecting the woman to the firefighter?
Answers
The tension in the rope is equal to the weight of the woman, which is 120 lb. Since the woman is not accelerating, the forces acting on her must be balanced, meaning the tension in the rope must equal her weight. Therefore, the tension in the rope is 120 lb.
What is tension?
Tension is a state of mental or emotional strain, resulting from opposing forces or influences. It is a feeling of inner strain caused by a clash of emotions, ideas, or beliefs. It can also result from physical causes such as a lack of sleep, worry, physical exertion, and even hunger.
Tension can manifest itself in physical symptoms such as headaches, neck pain, muscle tightness, and fatigue. It can also lead to emotional problems such as anxiety, irritability, and depression. It is important to recognize and address tension in order to maintain good mental and physical health.
To learn more about tension
brainly.com/question/2008782
#SPJ4
What is the pattern for mass, speed, and energy.
Please answer this asap.
thanks.
Answers
Answer:
The kinetic energy of a moving object is directly proportional to its mass and directly proportional to the square of its velocity. This means that an object with twice the mass and equal speed will have twice the kinetic energy while an object with equal mass and twice the speed will have quadruple the kinetic energy.
Explanation:
What are the wavelengths of x-rays and gamma rays?
a.
x-rays - 3 pm to 20 nm
gamma rays- less than 3 pm
c.
x-rays - 3 mm
gamma rays- 20 to 50nm
b.
x-rays - 400nm
gamma rays- 700nm
d.
None of the above
Answers
Answer:
1. less. 2 greater. 3. the same. 8. An FM radio station broadcasts its signal at a fre- ... wave 3. | 3x108 = 269.15x107). = 3.20m. 2. An electromagnetic AM-band radio wave could have Base your answers to questions 9 and 10 on the informa- ... X rays. -Microwaves. -Long
#2. If we have a 9V battery connected to a 100 resistor , what is the current ?
Answers
Answer:
90 mAmps
Explanation:
V=IR
V/R = I
9 v / 100 ohm = .09 amps = 90 mAmps
What is the importance of physics in food science and technology?
Answers
Food science and technology generally consists of the production, preservation and consumption of food.
Physics, as a scientific subject, helps to explain and understand the underlying physical and chemical processes that occur during the aforementioned processes. Without physics, we as food scientists/engineers wouldn't understand concepts such as heat transfer, rheology (study of food deformation), thermodynamics, transport phenomena and food spectroscopy.
In summary, physics plays an important role in food science and technology by helping to understand and control the physical and chemical processes that occur during food production, preservation, and consumption, which allows food scientists to make better quality and safe food products.
Residence time for water in Lake Tahoe, Nevada/California is 600 years which means thatSelected A. A water molecule entering the lake will remain in the lake for 600 years.
B. The total volume of water in Lake Tahoe remains constant for 600 years.
C. The water in Lake Tahoe will sustain aquatic life for 600 years.
D. Outflow from Lake Tahoe occurs once every 600 years.
Answers
The correct answer is A. A water molecule entering the lake will remain in the lake for 600 years.
What is residence time?Residence time refers to the average amount of time that a water molecule spends in a particular body of water, such as a lake. In the case of Lake Tahoe, the residence time is approximately 600 years. This means that, on average, a water molecule that enters the lake will remain in the lake for 600 years before leaving through the outlet.
Option B is incorrect because the total volume of water in Lake Tahoe can vary due to precipitation, evaporation, and other factors.
Option C is also incorrect because the residence time of water in Lake Tahoe does not necessarily relate to the ability of the lake to sustain aquatic life.
Option D is incorrect because outflow from Lake Tahoe occurs regularly and is not limited to once every 600 years.
Learn more about residence time
brainly.com/question/13103571
#SPJ11
A solenoid with a length of 6.5 cm and 200 loops is carrying 5 A of current. What is the
strength of the magnetic field at the center of the solenoid? Label the north and south pole of
the solenoid.
Answers
The strength of the magnetic field at the center of the solenoid is 0.006 T
Magnetic field calculation.
The strength of the magnetic field at the center of a solenoid is given by:
B = μ₀ * n * I
where B is the magnetic field strength, μ₀ is the permeability of free space, n is the number of turns per unit length of the solenoid, and I is the current flowing through the solenoid.
In this case, the length of the solenoid is not given, but we can assume that it is much greater than the diameter of the solenoid, so we can treat it as a long solenoid. The number of turns per unit length is given as 200 loops divided by the length of 6.5 cm, or:
n = 200 / 0.065 m = 3076.92 turns/m
The current flowing through the solenoid is 5 A.
The permeability of free space, μ₀, is a constant with a value of 4π x 10^-7 T m/A.
Therefore, the magnetic field strength at the center of the solenoid is:
B = μ₀ * n * I
= 4π x 10^-7 T m/A * 3076.92 turns/m * 5 A
= 0.006 T
So the strength of the magnetic field at the center of the solenoid is 0.006 T. The north pole of the solenoid is the end from which the magnetic field emerges, and the south pole is the end where it enters.
Learn more about magnetic field below.
https://brainly.com/question/14411049
#SPJ1
Explain how electricity is transmitted from the main source in relation to step up and step down transformers
Answers
Answer:
The electricity produced from the main source which is an electrical generator which is usually close a remote abundant source of natural energy or at a distant location away from the residential areas where the electricity is used
The step up transformer is the device used to raise the voltage and therefore lower the current of the of incoming generated electricity before it is transmitted through high tension cables so that the energy loss from source to destination is reduced and the electricity generated can applied where needed
However, the high voltage transmitted along power lines to reduce energy loss cannot be used as it is by the consumer, partly because it is very harmful in the event of an electric shock and can easily damage household electrical devices, therefore, the high voltage in the power lines is reversed back or lowered into voltages which can be used to power electrical devices in buildings with the use of a step-down transformer
Explanation:
Darth Vader uses his powers to accelerate a 650.00 kg spaceship from rest to 100.00 m/s in 7.0 s. What is the net force on the spaceship?
Answers
Answer:
This Means Nothing to ME
Explanation:
I HAVE A tradition of doing a little analysis on one of my favorite movie franchises to celebrate Star Wars Day (May the Fourth Be With You). Given that Rogue One: A Star Wars Story recently appeared on DVD and various streaming services, I think its OK to look at that film without worrying about spoilers. In this case, I will calculate Darth Vader's power output as he uses the Force.
To calculate the power needed to lift this poor fellow, I can estimate how high Vader lifts him and at what speed. If I guess that the rebel is 1.75 meters tall (the average height of a man here on Earth, so I'll assume the same holds true on whatever planet the rebel calls home) then I can get an approximate scale for the scene. With that, I can use video analysis to plot the vertical position of the rebel as a function of time
A point charge q1=5. 00μC is held fixed in space. From a horizontal distance of 8. 00 cm, a small sphere with mass 4. 00×10−3kg and charge q2=+2. 00μC is fired toward the fixed charge with an initial speed of 35. 0 m/s. Gravity can be neglected.
What is the acceleration of the sphere at the instant when its speed is 27. 0 m/s
Answers
According to the given statement , the acceleration of the sphere at the instant when its speed is 27.0 m/s.
We can use the principles of electrostatics and kinematics. a = [(9.00 x 10⁹ N * m² / C²) * |5.00 μC * 2.00 μC| / (0.08 m)²] / (4.00 x 10⁻³ kg).
1. Determine the electric force between the two charges:
- The electric force between two charges can be calculated using Coulomb's Law:
F = k * |q1 * q2| / r².
- In this case, q1 = 5.00 μC and q2 = +2.00 μC. The distance between them, r, is the horizontal distance of 8.00 cm (which is 0.08 m).
- The constant k is 9.00 x 10⁹ N * m^2 / C².
- Plugging in the values, we get F = (9.00 x 10^9 N * m² / C²) * |5.00 μC * 2.00 μC| / (0.08 m)².
2. Calculate the net force acting on the sphere:
- At any instant, the net force acting on the sphere is the sum of the electric force and the force due to gravity.
- However, in this case, gravity can be neglected, as stated in the question.
- Therefore, the net force acting on the sphere is equal to the electric force between the two charges.
3. Calculate the mass of the sphere:
- The mass of the sphere is given as 4.00 x 10⁻³ kg.
4. Apply Newton's second law:
- Newton's second law states that the net force acting on an object is equal to the product of its mass and acceleration: Fnet = m * a.
- In this case, the net force acting on the sphere is the electric force between the charges.
- Plugging in the values, we get (9.00 x 10⁹ N * m^2 / C²) * |5.00 μC * 2.00 μC| / (0.08 m)² = (4.00 x 10⁻³ kg) * a.
5. Solve for the acceleration:
- Rearranging the equation, we have a = [(9.00 x 10⁹ N * m² / C²) * |5.00 μC * 2.00 μC| / (0.08 m)²] / (4.00 x 10⁻³ kg).
- Evaluating the expression, we find the value of acceleration.
By following these steps, you can find the acceleration of the sphere at the instant when its speed is 27.0 m/s.
To more about electrostatics visit:
https://brainly.com/question/14889552
#SPJ11
A boy standing throws a penny horizontally at 7.25 m/s out of the window of his apparent buliding. If the window is 10.0 m above the ground, how far from the base of the building does the penny land?
Answers
Answer:
Explanation:
This is a 2D problem (parabolic) so we have to think that way. We have to split up the problem into its 2 dimensions to solve it. Think "y-stuff" and "x-stuff".
In the y-stuff category:
v₀ = 0 (initial upwards velocity is 0 since we are told the penny is thrown horizontally)
Δx = -10.0 m (this displacement is negative because the penny lands 10.0 m below the point from which it was thrown)
a = -9.8 m/s/s
t = ? (we need to find the time in this dimension so we can use it in the x dimension to find the displacement, our unknown)
In the "x-stuff" category:
v₀ = 7.25 m/s (this is given)
Δx = ???
a = 0 (acceleration in this dimension is ALWAYS 0)
t = (we will solve for this in the y-dimension and plug it in here).
In the y dimension:
Δx = v₀t + \(\frac{1}{2}at^2\) and plugging in from the y-dimension info:
\(-10.0=0t+\frac{1}{2}(-9.8)t^2\) which simplifies to
\(-10.0=-4.9t^2\) so
\(t=\sqrt{\frac{-10.0}{-4.9} }\) which, to 2 significant digits is
t = 1.4 seconds
Now we will do the same in the x-dimension, using t = 1.4:
Δx = v₀t + \(\frac{1}{2}at^2\) and filling in the x-stuff:
Δx = \(7.25(1.4)+\frac{1}{2}(0)(1.4)^2\) Notice that the stuff after the + sign goes to 0 cuz of the multiplication of 0, so what we are left with is another form of the d = rt equation:
Δx = 7.25(1.4) + 0 so
Δx = 1.0 × 10¹ m (That's rounded correctly to 2 sig dig's: 10 m from the base of the building).
Answer:
30.2
Explanation:
What happens when a proton is placed directly in the path of the proton cannon?
Answers
Answer:
Proton is positively charged and is thus, attracted to the negative plate. Hence, it will take the path D after leaving the region between the charged plates.When a proton is placed directly in the path of the proton cannon, it will experience a strong electromagnetic force. The proton cannon emits a beam of protons at high energy and velocity. When the proton in the path of the cannon interacts with the beam, there will be a collision between the two protons.
During the collision, the protons may undergo a process called scattering, where they change direction and momentum. The exact outcome of the collision depends on the energy and angle of the incoming proton, as well as the properties of the target proton. It is possible that the protons may scatter off each other, transferring energy and momentum in the process.
In some cases, the collision may result in the absorption of the incoming proton by the target proton. This can lead to the formation of a more massive particle or the emission of other particles. The specifics of the interaction will depend on the energy and conditions of the proton cannon and the characteristics of the protons involved.
Overall, placing a proton directly in the path of a proton cannon will result in a collision and potential scattering or absorption of the protons, causing changes in their momentum and possibly leading to the creation of other particles.
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
what is the speed of a wave a wavelength of 2.3 meters and a frequency of 5 Hz
Answers
Explanation:
The speed of a wave can be calculated using wavelength, Frequency.speed = wavelength x frequency.The wavelength of the wave is 2.3 meters.The frequency of the wave is 5 Hz.So,
speed = wavelength x frequency
speed = 2.3 meters x 5 Hz => 11.5 meters per second
Therefore, the speed of the wave is 11.5 meters per second.
To know more about speed,
brainly.com/question/22610586
brainly.com/question/20498128
does putting batteries in the freezer recharge them?
Answers
Simply put, no. Try not to be hard on you if this is the first time you've heard it; in some cases, a belief was once accurate. A bulk of energy storage units kept in fridge are basic AA, AAA, C, & D batteries.
What three types of batteries are there?There are three main battery kinds that may be used by consumers. They are lithium ion, nickel metal hydride, and alkaline. Each kind has benefits and drawbacks. Each of them has a unique position in the history of technology.
What kind of battery is ideal?With the greatest energy density of just about any battery cell, lithium batteries are made of this very light metal. As a result, they have a higher energy capacity than battery systems or any other separate bat of a similar size. Additionally, they work admirably in the both cold and warm environments.
To know more about Batteries visit:
https://brainly.com/question/30078831
#SPJ4
A piano has a mass of 99 kg. What is the weight of the piano?
A. 1030 N
B. 842 N
C. 1129 N
D. 970 N
Help!!
Answers
Answer:
\(D.\ 970\ N\)
Explanation:
Given:
Mass of Piano: 99kg
Required:
Calculate its weight
The weight of an object is calculate as thus;
\(Weight = Mass\ (m) * Acceleration\ due\ to\ gravity\ (g)\)
\(m = 99kg\) and \(g = 9.8m/s^2\)
The formula becomes
\(Weight = 99kg * 9.8m/s^2\)
\(Weight = 970.2\ kgm/s^2\)
\(Weight = 970.2\ N\)
\(Weight = 970\ N\) Approximated
Hence, the weight of the piano is 970N
A dog runs after a ball that is 45 meters away. It takes him 9 seconds to reach the ball. How fast is the dog running?
Answers
Answer:
The answer in 5m/s
Explanation:
You use the formula s=d devided by t, so in other words, you devide 45 meters by 9seconds and the answer is 5m/s
How many grams of potassium may be formed by the passage of 5.92 amps for 1.94 hours through an electrolytic cell that contains a molten potassium salt.
Answers
mass of the potassium formed by the passage of 5.92 amps for 1.94 hours through an electrolytic cell that contains a molten potassium salt is 16.41g
Total amount of current in amps = 5.92 Columbus/ sec(I)
total time period = 1.94 h = 1.94 X 3600 sec = 6984 sec(t)
initially electric charge Q is calculated Q =I X t =41,345.28 Columbus
now molar mass of K is 39.09g/mol and faradays constant = 96485 so by the formula , n=Q/F = 41,345.28/96485 =0.4285mol now, m = nM where n is number of mol and M is molar mass of K so 0.42 X 39.09=16.41g
To learn more about mass:
https://brainly.com/question/19694949
#SPJ4
An object moving with uniform acceleration has a velocity of 11.0 cm/s in the positive x-direction when its x-coordinate is 2.76 cm. If its x-coordinate 2.25 s later is −5.00 cm, what is its acceleration?
Answers
Given:
The initial velocity is
\(v_i=\text{ 11 cm/s}\)The initial position is x1 = 2.76 cm
The final position is x2 = - 5 cm
The time will be t = 2.25 s
To find the acceleration.
Explanation:
The acceleration can be calculated by the formula
\(\begin{gathered} \Delta x=v_it+\frac{1}{2}at^2 \\ \frac{1}{2}at^2=\Delta x-v_it \\ a=\frac{2(\Delta x-v_it)}{t^2} \end{gathered}\)Here, the displacement is
\(\begin{gathered} \Delta x=x2-x1 \\ =-5-2.76 \\ =-7.76\text{ cm} \end{gathered}\)On substituting the values, the acceleration will be
\(\begin{gathered} a=\frac{2(-7.76-11\times2.25)}{(2.25)^2} \\ =\text{ -12.84 cm/s}^2 \end{gathered}\)Final Answer: The acceleration is -12.84 cm/s^2
if your mass is 72kg your textbooks in Madison has 3.7 kg and you and your textbook are separated by a distance of 0.33 M what is the gravitational force between you and your textbook
Answers
Answer:
1.63 X 10^-7N
Explanation:
what seems to control the assembly and disassembly of intermediate filaments?
Answers
The assembly and disassembly of IFs are regulated by a variety of factors, including phosphorylation, subunit availability, pH, and ionic strength.
Intermediate filaments (IFs) are components of the cytoskeleton that control a variety of biological processes. IFs are typically less dynamic than microtubules and actin filaments, and they appear to be more stable. The assembly and disassembly of intermediate filaments are regulated by phosphorylation-dephosphorylation mechanisms.
The assembly and disassembly of intermediate filaments are controlled by a variety of factors. One of the primary determinants of IF dynamics is phosphorylation. Phosphorylation of specific residues on the IF proteins affects both the ability of the protein to form filaments and its stability once it has formed a filament.
In some cases, the presence of free subunits can promote filament formation, while in others, the formation of complexes between subunits can inhibit filament assembly. Changes in pH or ionic strength can also affect the assembly and disassembly of IFs.Intermediate filaments (IFs) are cytoskeletal structures that are typically more stable than microtubules or actin filaments.
To know more about filaments visit :
https://brainly.com/question/31953314
#SPJ11
why? the rotational inertia decreases, while the angular moment is conserved. the angular momentum decreases, while the rotational moment of inertia is conserved. the angular momentum increases, while the rotational moment of inertia is conserved. the rotational inertia increases, while the angular moment is conserved.
Answers
The correct answer is D, "The rotational inertia increases, while the angular momentum is conserved."
Inertia is a fundamental concept in physics that describes an object's resistance to changes in its motion. Specifically, it refers to an object's tendency to maintain its current state of motion, whether at rest or in motion at a constant velocity, unless acted upon by an external force.
The concept of inertia was first introduced by Sir Isaac Newton in his first law of motion, also known as the law of inertia. According to this law, an object will remain at rest or in uniform motion in a straight line unless acted upon by a net external force. The amount of inertia an object has depends on its mass - the greater the mass, the greater the inertia.
To learn more about Inertia visit here:
brainly.com/question/3268780
#SPJ4
dimensional formula of accelaration due to gravity
Answers
Answer:
Acceleration due to gravity is the acceleration gained by an object due to gravitational force. Its SI unit is m/s2.
...
Acceleration Due to Gravity (g)
Symbol g
Dimensional Formula M0L1T-2
SI Unit ms-2
Formula g = GM/r2
MARK BRAINLIEST!!!!!
Answer:
[LT-2]
Explanation:
An object starts from rest at point F and speeds up continuously as it moves around an oval. a. Choose a point about 1/8 th of the way around the oval from point F, and label it point G. Draw a vector to represent the velocity of the object at point G. b. Determine the change in velocity vector between points F and G.
Answers
Answer:
a) Check the file attached below for the diagram
b) Change in velocity vector between F and G, \(\overrightarrow{\triangle V} = \overrightarrow{V_G}\)
Explanation:
a) The diagram that represents the description is contained in the file attached to this solution. A vector, \(V_G\) that represents the velocity of the object at point G is also indicated.
A very good point to note is that the direction of the velocity is always acting tangent to the path
b) The change in velocity vector between F and G
The change in velocity vector is \(\overrightarrow{\triangle V} = \overrightarrow{V_G} - \overrightarrow{V_F}\)
Since the object starts from rest at point F, \(\overrightarrow{V_F} = 0\)
Therefore, Change in velocity vector between F and G, \(\overrightarrow{\triangle V} = \overrightarrow{V_G}\)
name the device of measurement and write its used or its function?
Answers
Answer:
There is a lot of instruments used for measurement, may I ask which one are you referring to?
A Carnot engine whose heat sink is at 27degree has an efficiency of 40% by how many degree should the temperature of source be change to increase the efficiency by 10% of the original efficiency
Answers
To increase the efficiency of the Carnot engine by 10% of the original efficiency, the temperature of the heat source should be increased by 0.067 times its original value
To solve this problem
The efficiency of a Carnot engine is given by:
Efficiency = 1 - (Tc/Th)
Where
Tc is the temperature of the heat sink Th is the temperature of the heat sourceIn this case, the efficiency of the engine is 40%, which can be expressed as 0.4 in decimal form. Therefore:
0.4 = 1 - (Tc/Th)
Rearranging this equation, we get:
Tc/Th = 0.6
We want to increase the efficiency by 10% of the original efficiency. This means that the new efficiency will be :
0.4 + 0.1(0.4) = 0.44
We can use this new efficiency to find the new ratio of Tc/Th:
0.44 = 1 - (Tc_new/Th_new)
Tc_new/Th_new = 0.56
Now we need to find by how many degrees the temperature of the heat source should change to achieve this new ratio of temperatures. We can set up an equation using the two ratios of temperatures:
(Tc/Th) / (Tc_new/Th_new) = 0.6 / 0.56
Substituting the first ratio we found earlier and simplifying, we get:
0.6 / (Th_new/Th) = 0.6 / 0.56
Th_new/Th = 0.56/0.6
Th_new/Th = 0.933
Multiplying both sides by Th, we get:
Th_new = 0.933 Th
So the temperature of the heat source should be increased by:
ΔT = Th_new - Th = 0.933 Th - Th = 0.067 Th
Where ΔT is the change in temperature and Th is the original temperature of the heat source.
Therefore, to increase the efficiency of the Carnot engine by 10% of the original efficiency, the temperature of the heat source should be increased by 0.067 times its original value.
Learn more about efficiency here : brainly.com/question/7113859
#SPJ1
Calculate earth's mass given the acceleration due to gravity at the north pole is 9. 830 m/s^2 and the mean radius of the earth at the north pole is 6,371 km.
Answers
To calculate the Earth's mass given the acceleration due to gravity at the North Pole and the mean radius of the Earth at the North Pole, we can use the formula: F = (G * m * M) / r^2
F is the force of gravity G is the gravitational constant (6.67430 × 10^-11 N(m/kg)^2) m is the mass of the object (in this case, the mass of the Earth) M is the mass of the smaller object (in this case, the mass of the object experiencing the force of gravity, which is negligible compared to the Earth's mass) r is the distance between the centers of the two objects (in this case, the mean radius of the Earth)
We can rearrange the formula to solve for the Earth's mass:
M = (F * r^2) / (G * m)
Given that the acceleration due to gravity at the North Pole is 9.830 m/s^2 and the mean radius of the Earth at the North Pole is 6,371 km (which can be converted to 6,371,000 m), we can substitute these values into the formula:
M = (9.830 * (6,371,000)^2) / (6.67430 × 10^-11)
Now, we can calculate the Earth's mass using a calculator or math software.
To know more about force visit:
https://brainly.com/question/33905686
#SPJ11
What is the difference between saturated and unsaturated fat? Why are partially hydrogenated fats useful for making potato chips but not particularly healthy for humans to eat?
Answers
Saturated fats have the maximum number of hydrogens possible, while unsaturated fats consists of a double bond between two of the carbon atom.
The partially hydrogenated fats useful for making potato chips but not particularly healthy for humans to eat because of presence of trans fat.
What is partially hydrogenated fats?Partially hydrogenated fats have trans fat that can raises cholesterol level in heart and result in severe health complications like heart attack.
Each carbon have four bonds to react with. In saturated fats, each carbon has four hydrogens bonded and a straight structure is formed They are solid at room temperature. So, they are remain solid in arteries of heart and block it.
Unsaturated fats have a carbon, double bonded with another carbon and gives the molecule a bent structure. They remain liquid at room temperature and are healthier fats.
The potato chips are not healthy for humans to eat. The partially hydrogenated fats raise bad cholesterol and lowers good cholesterol. The trans fats increases the risk of heart disease and can lead to death of adults. The more trans fats eaten, the greater is the risk of heart attack.
Thus, partially hydrogenated fats useful for making potato chips but not particularly healthy for humans to eat because of presence of trans fat.
Learn more about partially hydrogenated fats.
https://brainly.com/question/14318480
#SPJ1
Background information on thermal energy transfer and conservation of energy
Answers
Answer:
Generally, when thermal energy is transferred to a material, the motion of its particles speeds up and its temperature increases. There are three methods of thermal energy transfer: conduction, convection, and radiation. ... Convection transfers thermal energy through the movement of fluids or gases in circulation cells.Convection. When a fluid, such as air or a liquid, is heated and then travels away from the source, it carries the thermal energy along. This type of heat transfer is called convection. The fluid above a hot surface expands, becomes less dense, and rises.
The half-life of iodine-131 is 8.07 days. If 0.25 g are left after 40.35 days, how many gramswere in the original sample?
Answers
Given data
*The half-life of iodine-131 is t = 8.07 days
*The amount of quantity left is N = 0.25 g
*The number of days is T = 40.35 days
The expression for the radioactivity decay is given as
\(N=N_0(\frac{1}{2})^{\frac{T}{t}}\)Substitute the values in the above expression as
\(\begin{gathered} \text{0}.25=N_0(\frac{1}{2})^{\frac{40.35}{8.07}} \\ N_0=8\text{ g} \end{gathered}\)Answer:
See below
Explanation:
40.35 days / (8.07 day per half life) = 5 half lives
.25 = x ( 1/2)^5
.25 / ( 1/2)^5 = x = 8 gm originally