Using Newton's second law, F = ma, and the known mass of a proton, 1.673 x \(10^{27}\) kg, the initial acceleration of the protons would be approximately 1.38 x \(10^{1}\) \(m/s^{2}\).
If the protons were not held together by the strong nuclear force, they would experience an electric force due to their positive charges.
According to Coulomb's law, the electric force between two charges is proportional to the product of the charges and inversely proportional to the square of the distance between them.
Therefore, the initial acceleration of the protons would depend on their separation distance and the magnitude of their charges.
Assuming a separation distance of 1 angstrom (\(10^{-10}\) m), the electric force between two protons with charges of 1.602 x \(10^{-19}\) C would be approximately 2.31 x \(10^{-28}\) N.
Using Newton's second law, F = ma, and the known mass of a proton, 1.673 x \(10^{-27}\) kg, the initial acceleration of the protons would be approximately 1.38 x \(10^{1}\) \(m/s^{2}\).
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6. A right triangle has legs that are 18.6 cm and 11.0 cm. What is the length 8
of the hypotenuse? *
Answer:
hypotenuse = 21.6cm
Explanation:
I have attached photo with working.
Contrast the image formed by a convex lens when an object is located more than twice the focal length from the lens with the image formed when the object is between the lens and the focal point
Answer:
\(\begin{array}{lll}&\underline{Object \ at \ more \ than \ 2\times Focus} & \underline{Object \ at \ less \ than \ Focus}\\\\1. \ Location \ of \ image &Same \ side \ as \ object&Opposite \ side \ of \ lens\\\\2. \ Orientation \ of \ image &Inverted&Upright\\\\3. \ Type \ of \ image&Real&Virtual\\\\4. \ Size\ of \ image&Smaller \ than \ object& Larger \ than \ object\end{array}\)
Explanation:
The location, orientation, size, and type of image formed by a convex lens are related to the position of the image location in front of the lens
Object >2·F = The image formed by a convex lens when the object is located more than twice the focal length from the lens
Object < F = The image formed by the convex lens when the object is located between the lens and the focal length
\(\begin{array}{lll}&\underline{Object \ > \ 2\cdot F} & \underline{Object < F}\\\\1. \ Location \ of \ image &Same \ side \ as \ object&Opposite \ side \ of \ lens\\\\2. \ Orientation \ of \ image &Inverted&Upright\\\\3. \ Type \ of \ image&Real&Virtual\\\\4. \ Size\ of \ image&Smaller \ than \ object& Larger \ than \ object\end{array}\)
what do you mean by average velocity
Answer:
Here is the answer. Hope this helps you!
Explanation:
Average velocity is the sum of initial and final velocity divided by 2. I t is the same as total Displacement divided by total time. Average velocity is calculated when the body is in non-uniform motion (also when total displacement and time is not given). The formula is as follows:
u + v/2 = \(v_{av}\)
Average velocity = Average speed
during motion in a straight line. therefore, the above mentioned formula can be used for calculating average speed as well, when the direction is one and only the same, that is, during motion in a straight line. The S.I unit remains the same-
m/s.
Since velocity is vector, average VELOCITY is also vector. However, Average SPEED is scalar as speed is scalar. both can be equal only when the distance = displacement and when they are following the same direction of motion.
A boat that can travel with a velocity of 12 m/s in still water is moving at maximum speed against the current of a stream that flows with a velocity of 5 m/s relative to the Earth. What is the velocity of the boat relative to the bank of the stream
The velocity of the boat relative to the bank of the stream is 7 m/s.
What is the boat's velocity relative to the bank of the stream?To determine the velocity of the boat relative to the bank of the stream, we need to subtract the velocity of the stream from the velocity of the boat. In this case, the boat can travel at a velocity of 12 m/s in still water, but it is moving against a stream that flows with a velocity of 5 m/s relative to the Earth. Since the stream's velocity is in the opposite direction of the boat's motion, we subtract 5 m/s from 12 m/s to find that the boat's velocity relative to the bank of the stream is 7 m/s.
When we calculate the boat's velocity relative to the bank, we are considering the boat's motion with respect to a fixed point on the bank of the stream. This calculation accounts for the effect of both the boat's own velocity and the velocity of the stream. The result, in this case, is a velocity of 7 m/s, indicating the speed at which the boat is moving relative to the stationary bank of the stream.
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A 20 kg mass is flung at a velocity of 12 m/s. What is the kinetic energy of the object?
Answer:
\(\boxed {\boxed {\sf 1440 \ Joules}}\)
Explanation:
Kinetic energy can be found using this formula:
\(E_k= \frac{1}{2} mv^2\)
The mass is 20 kilograms and the velocity is 12 meters per second.
\(m= 20 \ kg \\v= 12 \ m/s\)
Substitute the values into the formula.
\(E_k= \frac{1}{2} (20 \ kg)(12 \ m/s)^2\)
Solve the exponent first.
(12 m/s)²= 12 m/s * 12 m/s = 144 m²/s²\(E_k= \frac{1}{2} (20 \ kg)(144 \ m^2/s^2)\)
Multiply the numbers in parentheses.
\(E_k= \frac{1}{2} (2880 \ kg*m^2/s^2)\)
Multiply by 1/2 or divide by 2.
\(E_k=1440 \ kg*m^2/s^2\)
1 kilogram square meter per square second is equal to 1 Joule. Our answer of 1440 kg*m²/s² is equal to 1440 J\(E_k= 1440 \ J\)
The object's kinetic energy is 1440 Joules.
1. What is the mass of an object moving at 13 m/s and having 3042 J of kinetic energy?
Answer: 36 Kg
Explanation:
Ke= 1/2MV^2
Plug in the kinectic energy (3042 J) and solve for M.
3042= 1/2 (M) (13^2)
M= 36 Kg
consider the ring-shaped body of the figure. a particle with mass m is placed a distance x from the center of the ring, along the line through the center of the ring and perpendicular to its plane.
The ring-shaped body represents an interesting physical system with rotational symmetry that exhibits the circular motion of a particle placed at a certain distance from its center.
The ring-shaped body in the figure represents a physical system that exhibits rotational symmetry. If a particle with mass m is placed at a distance x from the center of the ring along the line perpendicular to its plane, the particle experiences a gravitational force due to the mass of the ring.
The magnitude of the gravitational force is given by the formula F = GmM/x^2, where G is the gravitational constant, M is the mass of the ring, and x is the distance from the center of the ring to the particle. Since the ring has rotational symmetry, the gravitational force on the particle is directed toward the center of the ring.
Due to the symmetry of the system, the net force on the particle is always directed toward the center of the ring. As a result, the particle undergoes circular motion around the center of the ring. The acceleration of the particle is given by a = F/m, which in this case reduces to a = G*M/x^2.
The period of the circular motion is given by T = 2pisqrt(x^3/G*M), where pi is the mathematical constant and sqrt denotes the square root function. The period of the circular motion depends only on the distance x and the mass of the ring M. The larger the distance x, the longer the period of the circular motion.
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Two point charges of 9μC and 4μC are placed a distance of 4 m apart.
1) Calculate the magnitude of the force, in Newtons, on a positive 5μC charge at the midpoint between the two charges.
2) Find the point, measured in meters from the 9μC charge, between the two charges where the force on the 5μC charge is 0?
Hi there!
1)
Since the charge placed in the middle is positive, we know that the particle is being repelled.
The particle experiences a greater repelling force by the 9μC charge. We can use the equation for electric force:
\(F_E = \frac{kq_1q_2}{r^2}\)
k = Coulomb's Constant
q₁, q₂: Charges (C)
r = distance between charges (m)
This is a VECTOR quantity, so we must subtract the forces since they point in opposite directions.
Force from 9μC particle:
\(F_E = \frac{k(.000005)(.000009)}{2^2} = .101\\\\\)
Force from 4μC particle:
\(F_E = \frac{k(0.000005)(0.000004)}{2^2} = 0.0450\)
Subtract:
\(.101 - 0.0450 = \boxed{0.561 N}\)
2)
We can find a position by setting the two equations equal to one another. (Both repelling forces must be EQUAL for the force = 0 N)
Let the distance between the 9μC and 5μC charge equal 'x', and the distance between the 4μC and 5μC charge equal '4 - x'.
\(\frac{k(0.000009)(0.000005)}{x^2} = \frac{k(0.000004)(0.000005)}{(4 - x)^2}\)
Cancel out 'k' and the 5μC value.
\(\frac{0.000009}{x^2} = \frac{0.000004}{(4 - x)^2}\)
Solve for 'x' using a graphing utility.
\(\boxed{x = 2.4 m}\)
How can you return a negatively or positively charged object back to its neutral state?
\(\huge\fbox\orange{A} \huge\fbox\red{N}\huge\fbox\blue{S}\huge\fbox\green{W}\huge\fbox\gray{E}\huge\fbox\purple{R}\)
\(\huge\underline\mathtt\colorbox{cyan}{For Positively Charged:}\)
By gaining electrons from the ground, the object will have a balance of charge and therefore be neutral. Grounding is the grounding of a positively charged object and involves the transfer of electrons from the ground into the object.
\(\huge\underline\mathtt\colorbox{red}{For Negatively Charged:}\)
If it is to have its charge removed, then it will have to lose its excess electrons. Once the excess electrons are removed from the object, there will be equal numbers of protons and electrons within the object and it will have a balance of charge.
1. the average commute times for employees of a large company is 27 minutes. the commute time of 12 employees are 31, 10, 13, 42, 20, 23, 23, 27, 25, 31, 18, and 13. a) determine the sample mean and the population means. b) what is the estimated margin of error of the sample population, using standard deviation? can you explain each answer please
a) The sample mean of the commute times for the 12 employees is 24.25 minutes. The population mean of the commute times for all employees of the large company is unknown.
b) The estimated margin of error of the sample population, using standard deviation, is approximately 6.542 minutes.
Determine the sample mean?a) To find the sample mean, we sum up all the commute times of the 12 employees and divide by the sample size: (31 + 10 + 13 + 42 + 20 + 23 + 23 + 27 + 25 + 31 + 18 + 13) / 12 = 291 / 12 = 24.25 minutes.
As for the population mean, it is not provided in the question. The population mean represents the average commute time for all employees in the large company but is unknown in this case.
b) To estimate the margin of error using standard deviation, we first need to calculate the standard deviation of the sample. The standard deviation measures the dispersion of data points around the mean.
Using the sample data, we find the standard deviation to be approximately 7.161 minutes.
Next, we divide the standard deviation by the square root of the sample size to calculate the standard error: 7.161 / √12 ≈ 2.073 minutes.
The estimated margin of error is then obtained by multiplying the standard error by the appropriate critical value.
Assuming a 95% confidence level, which corresponds to a critical value of approximately 1.96 for a large sample size, we multiply 2.073 by 1.96 to obtain the estimated margin of error: 2.073 × 1.96 ≈ 4.06 minutes.
Therefore, the estimated margin of error for the sample population, using standard deviation, is approximately 6.542 minutes (24.25 ± 4.06).
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Why does a small piece of steel rod sinks while a large steel oil tanker floats?
Plss help thanks! pls include EXPLANATION and EXAMPLES that I can proof to people that has no knowledge
Answer:
Too what i know its because of the air
Explanation:
The steel rod is more dense and doesnt have air whil'st the oil tanker is less dense with lots of air
an engine on each cycle takes in 40. joules, does 10. joules of work, and expels 30. j of heat. what is its efficiency?
The engine's efficiency is 25%.
An engine's efficiency refers to the ratio of useful work done to the total energy input. In this case, the engine takes in 40 joules of energy, does 10 joules of work, and expels 30 joules of heat. To calculate the efficiency, you can use the following formula: Efficiency = (Work done / Energy input) x 100%.
For this engine, the efficiency would be (10 joules / 40 joules) x 100%, which equals 25%. This means that 25% of the energy input is converted into useful work, while the remaining 75% is lost as heat. An ideal engine would have a higher efficiency, meaning more of the input energy is converted into useful work. However, in reality, all engines lose some energy as heat due to factors such as friction and other inefficiencies.
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thermal energy is transferred between objects only when they have different ______.
Thermal energy is transferred between objects only when they have different temperatures.
The movement of atoms and molecules within a substance is a form of energy known as thermal energy.
When two objects are in contact, or even in proximity, the atoms and molecules in the hotter object collide with those in the colder object.
Because of these effects, a portion of the kinetic energy from the more sizzling object is moved to the colder object, raising the temperature of the previous and bringing down the temperature of the last option.
A material's thermal conductivity — an estimation of how well it moves heat — decides how rapidly heat is moved between various sorts of materials.
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heal
Why is Mercury usedcommonly
as Thermometric substance?
Answer:
Mercury is the only one in liquid state at room temperature. It's used in thermometers because it has high coefficient of expansion.
Explanation:
Hence, the slightest change in temperature is notable when it's used in a thermometer. It also has a high boiling point which makes it very suitable to measure higher temperatures.
Hope this helps :)
A high fountain of water is located at the center of a circular pool. Not wishing to get his feet wet, a student walks around the pool and measures its circumference to be 15m. Next, the student stands at the edge of the pool and uses a protractor to gauge the angle of elevation at the bottom of the fountain to be 55°. How high is the fountain?
Answer:
The fountain is 3.43 m high.
Explanation:
Circumference of the pool = 15 m.
C = 2\(\pi\)r
where C is the circumference and r its radius.
r = \(\frac{C}{2\pi }\)
= \(\frac{15}{2(\frac{22}{7}) }\)
r = 2.3864
radius of the pool = 2.40 m
So that the height of the fountain, h, can be determined by applying trigonometric function.
Tan θ = \(\frac{opposite}{adjacent}\)
Tan 55 = \(\frac{h}{2.4}\)
h = Tan 55 x 2.4
= 1.4282 x 2.4
= 3.4277
h = 3.43 m
The height of the fountain is 3.43 m.
Write the Atomic Structure for the following elements : K , Cs, Zn, F, At and Rb
Potassium, with atomic number 19 and mass 39.0983, is element 19 in the periodic table. Potassium, denoted by the letter K, is a body-centered cubic element with a silver hue. Cesium has an atomic number of 55, or the quantity of positively charged protons, per atom.
What exactly does atomic structure mean?The atom is the smallest unit of matter that may be divided into smaller bits without producing electrically charged particles. Look at several electron configurations in the electron shells that encircle the nucleus of an atom.
Moreover, it is the smallest substance with characteristics similar to chemical elements. Hence, the atom serves as the fundamental unit of chemistry.
Look at several electron configurations in the electron shells that encircle the nucleus of an atom.
any and all videos connected to this article.
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Two loud speakers are 1.60 m apart. A person stands 3.00 m from one speaker and 3.50 m from other speaker.
What is the lowest frequency at which destructive interference will occur at this point if the speakers are in phase?
A ball is thrown straight up 25 m/s, if it lands 10 seconds later, how high is the building?
Answer:
Explanation:
To determine the height of the building, we can use the kinematic equation for vertical motion:
h = v₀t + (1/2)gt²
Where:
h is the height of the building
v₀ is the initial velocity of the ball (25 m/s)
t is the time taken for the ball to reach the ground (10 seconds)
g is the acceleration due to gravity (approximately 9.8 m/s²)
Plugging in the values:
h = (25 m/s)(10 s) + (1/2)(9.8 m/s²)(10 s)²
h = 250 m + (1/2)(9.8 m/s²)(100 s²)
h = 250 m + 490 m
h = 740 m
Therefore, the height of the building is approximately 740 meters.
Hope it helps!! :))
The most striking "cloudmark" in Jupiter's atmosphere is the Select one: O a Great Red Spot. b. Brown Dwarf. c. Black Hole d Cassini Division. e Great Dark Spot s age
The most striking "cloudmark" in Jupiter's atmosphere is the Great Red Spot. The Great Red Spot is the most striking "cloudmark" in Jupiter's atmosphere. It is a persistent high-pressure region in the planet's atmosphere, characterized by a long-lived anticyclonic storm.
The spot is located in the southern hemisphere of Jupiter and is about 22 degrees south of the planet's equator. It is so large that it could easily engulf the Earth. The storm has been observed for more than 300 years, and its exact cause is still unknown. The spot is thought to be associated with the planet's powerful jet streams, which are responsible for carrying clouds of ammonia and water vapor around the planet. While other cloudmarks have been observed on Jupiter, such as the Great Dark Spot, they are not as prominent or long-lasting as the Great Red Spot. Therefore, the most correct answer to this question is option (a) Great Red Spot.
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The most striking "Cloudmark" in Jupiter's atmosphere is option a. Great Red Spot.
This massive storm has been raging for centuries and is much larger than the size of the Earth. It is believed that the Great Red Spot is a high-pressure region, caused by the rotation of Jupiter's atmosphere. It is made up of various gases, including ammonia, methane, and water vapor.
The Great Red Spot was first observed by astronomers in the 1600s, and since then, it has become an iconic feature of Jupiter's atmosphere. Despite its name, the Great Red Spot has been known to change color and even shrink in size over the years. However, it remains a fascinating area of study for scientists who hope to learn more about the dynamics of Jupiter's atmosphere.
In addition to the Great Red Spot, Jupiter is also known for its many other cloud features, including the Great Dark Spot, which was observed by the Voyager 2 spacecraft in 1989. This storm was similar in size to the Great Red Spot but disappeared within a few years.
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64 ounces a day. 29200 days. how many ounces
Answer:
1868800
Explanation:
Twenty (20.0) mL of argon gas (Ar) is stored at STP. If the temperature and pressure are both doubled, what is the new volume?
PLZZ ANSWER ASAP!!
Answer:
The new volume is the same as the initial volume, i.e. 20 mL.
Explanation:
To find the new volume we can use the Ideal gas law:
\( PV = nRT \)
Where:
P: is the pressure
V: is the volume
R: is the gas constant
n: is the number of moles
T: is the temperature
Initially, we have:
\( \frac{P_{i}V_{i}}{T_{i}} = nR \) (1)
In the final state:
\( \frac{P_{f}V_{f}}{T_{f}} = nR \) (2)
By equating equation (1) and (2) we have:
\( \frac{P_{i}V_{i}}{T_{i}} = \frac{P_{f}V_{f}}{T_{f}} \)
\( \frac{P_{i}V_{i}}{T_{i}} = \frac{2P_{i}V_{f}}{2T_{i}} \)
\(V_{f} = \frac{2T_{i}*P_{i}*V_{i}}{T_{i}*2P_{i}}\)
\( V_{f} = V_{i} \)
\( V_{f} = 20.0 mL \)
Therefore, the new volume is the same as the initial volume, i.e. 20 mL.
I hope it helps you!
What force is needed to give a 0.25 kg arrow an acceleration of 196 m/s² question 10 options: 0.25n 49n 196n 748n
The force that is needed to accelerate the arrow is 49 Newtons.
To determine magnitude of the force needed to give a 0.25 kg arrow an acceleration of 196 m/s², we can use the equation of force:
F = ma
where F is the force, m is the mass, and a is the acceleration.
Given that m = 0.25 kg and a = 196 m/s², we can substitute these values into the equation and solve for F:
F = (0.25 kg)(196 m/s²)
F = 49 N
So the force needed to give a 0.25 kg arrow an acceleration of 196 m/s² is 49 N. This is the correct answer out of the options given.
To arrive at this answer we used Newton's second law of motion, which states that the force acting on an object is equal to the mass of the object multiplied by its acceleration. Thus, we were able to use the equation "F = ma" (where F is force, m is mass and a is acceleration) to solve for the force required to accelerate the arrow at 196 m/s².
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Which is NOT something that all green plants have in common?
1.They make their own food.
2. They reproduce.
3 .They grow.
4 .They produce flowers.
Answer:
4
Explanation:
Not all plants can grow flowers. Only the ones thay have buds can.
Not all plants produce flowers. Hence, this is the characteristic which is not common in all plants.Therefore, the correct option is 4.
What are flowers?Flowers are the structures of plants. They are responsible for producing seeds that will grow into new plants. Flowers typically consist of a colorful or ornamental part called the corolla, which attracts pollinators such as bees and butterflies, and a reproductive part called the stamen and pistil, which contain the plant's male and female organs.
Not all green plants produce flowers. Flowering plants are a type of plant that belong to the group Angiosperms, but there are also non-flowering plants like ferns and mosses that do not produce flowers. Therefore, the correct option is 4.
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A 2.0 cm tall object is placed 25 cm in front of a converging lens. The image is found 64 cm on the other side of the lens.
The focal length of the lens is ________.
Group of answer choices
0.011 cm
18 cm
0.056 cm
15 cm
0.024 cm
41 cm
The focal length of the converging lens is approximately 41 cm (Option F).
To find the focal length of the lens in this problem, we can use the thin lens equation:
1/f = 1/do + 1/di
where f is the focal length of the lens, do is the object distance (25 cm), and di is the image distance (-64 cm, since the image is on the opposite side of the lens from the object).
Plugging in the given values, we get:
1/f = 1/25 + 1/-64
Simplifying, we get:
1/f = (64-25)/25*(-64)
1/f = 39/-1600
Multiplying both sides by -1600, we get:
f = -1600/39
f ≈ -41 cm
However, since the focal length is a physical quantity, it cannot be negative. We therefore take the absolute value of our answer to get:
f ≈ 41 cm
Therefore, the focal length of the converging lens is approximately 41 cm.
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An object has a mass of 10 kg and it is accelerating at a rate of 12 m/s2. What is the net force causing this acceleration?
100 N
O 120 N
0 140 N
O 160 N
Answer:
net force causing acceleration is 120N
Explanation:
Given parameters:
Mass of the object = 10kg
Acceleration = 12m/s²
Unknown:
Net force of this acceleration = ?
Solution:
According to newtons second law of motion;
Force = mass x acceleration
Sine the unknown is the net force, input the parameters and solve for it;
Force = 10 x 12 = 120N
The net force causing acceleration is 120N
A piston-cylinder device initially contains a mixture of saturated water and saturated steam at 200kPa. The total mass is 0.5 kg and the volume is 0.3 m
∧
3. Now the fluid is heated up under the same pressure, until the volume doubles. Find (a) the initial temperature (b) the final temperature (c) the total internal energy change of the fluid during this process. (d) Also sketch the process on the P-v and I-v diagrams. including the initial state, the final state, and the path.
(a) The initial temperature is 373.95 K.
(b) The final temperature is 546.15 K.
(c) The total internal energy change of the fluid during this process is 515.4 kJ.
(d) The process can be represented as an isochoric heating process on the P-v diagram and as an isobaric expansion process on the T-v diagram.
(a) To find the initial temperature, we can use the saturated steam tables. At a pressure of 200 kPa, the corresponding saturation temperature is 373.95 K.
(b) Since the volume doubles, the process is an isochoric (constant volume) heating process. Using the ideal gas law, we can determine the final temperature. The initial and final volumes are related by the equation V_final = 2V_initial. Since the mass remains constant, the specific volume (v) is inversely proportional to the density (ρ). Therefore, ρ_final = ρ_initial/2. Using the ideal gas law, we can calculate the final temperature to be 546.15 K.
(c) The total internal energy change can be calculated using the equation ΔU = mC_vΔT, where m is the mass of the fluid and C_v is the specific heat at constant volume. Given the mass as 0.5 kg, the specific heat of water at constant volume, and the temperature change, we can find that the total internal energy change is 515.4 kJ.
(d) On the P-v diagram, the process is represented as a vertical line at 200 kPa, indicating constant pressure. On the T-v diagram, the process is shown as an upward-sloping line, indicating an isobaric expansion process. The initial state is represented as a point on the left, and the final state is represented as a point on the right. The path between the initial and final states is a straight line connecting these two points.
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step by step process please
I know the ans but not the process
pic attached
Answer:
\(\huge\boxed{\sf F= 350 \ N}\)
Explanation:
Considering pivot as the central point,
Key:
Torque = Force F × radius rAnticlockwise torque = Clockwise torque\(F_1r_1=F_2r_2\)
Here,
Anticlockwise force is FClockwise force is 600 N\(r_1=70+50= 120 \ cm = 1.2 \ m\)\(r_2=70 \ cm = 0.7 \ m\)Solution:Substitute the givens in the above formula.
\(F(1.2)=600(0.7)\\\\F(1.2)=420\\\\Divide \ 1.2 \ to \ both \ sides\\\\F=420/1.2\\\\F= 350 \ N\\\\\rule[225]{225}{2}\)
How is temperature related to the motions of molecules?
Answer:
As the temperature increases, the kinetic energy of the molecules of the liquid increases.
Explanation:
You use a rope and pulley system with an ideal mechanical advantage of 2.00. How big of an output load can you lift with an input
force of 200 N?
When two rope segments pull up on the load in the single movable pulley, the optimal mechanical advantage is 2. This sort of pulley does not change the direction of the applied force, but it does increase it by a factor of two.
What is the ideal mechanical advantage?There are two methods for calculating a pulley system's mechanical advantage.
The mechanical advantage may be calculated simply by counting the number of falls (or active lifting ropes) that are really attached to the load. You may also split the effort distance by the load distance.
Assuming an ideal rope and pulley system with a mechanical advantage of \(2.00\) , the output load that can be lifted with an input force of \(200 N\) can be calculated using the formula:
Output force = Input force x Mechanical advantage
Where the mechanical advantage is given as \(2.00\) .
Thus, the output force is:
Output force \(= 200 N \times 2.00 = 400 N\)
Therefore, with an input force of \(200 N\) , the rope and pulley system can lift an output load of up to \(400 N\) .
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a unicorn is running 3 meters/second.how long will it take to get at the end of a 120 meter rainbow.
pls show work
Answer:
40 seconds
Explanation:
A unicorn is running at rate of 3 meters/second. To find how long it'll take to get at the end of a 120 meter rainbow, we'll have to find the "time".
The distance is given to be 120 meters and speed is given as 3 meters/second.
Our formula for speed is:
\(\displaystyle{v = \dfrac{s}{t}}\)
where v is speed, s is distance and t is time:
\(\displaystyle{3 = \dfrac{120}{t}}\)
Solve for t, multiply both sides by t:
\(\displaystyle{3 \cdot t= \dfrac{120}{t}\cdot t}\\\\\displaystyle{3t= 120}\)
Divide both sides by 3:
\(\displaystyle{\dfrac{3t}{3} = \dfrac{120}{3}}\\\\\displaystyle{t= 40 \ \, \sf{seconds}}\)
Therefore, it will take 40 seconds for a unicorn to reach at the end of rainbow.