the current flowing in t = 0.4 s is 63 mA (Approximately)
The charge entering the positive terminal of an element isq = 5 sin 4πt mC
We know that, I = dq/dt
Therefore, the current flowing in t = 0.4 s is:q = 5 sin 4πt mCq
= 5 sin 4π(0.4)Cq = 5 sin 1.6πCq
= 5 sin 3.14Cq = 0.07877 C
Now, we will differentiate with respect to time to find the current flowing in t = 0.4 s.I
= dq/dtI = d/dt (5 sin 4πt)I
= 20π cos 4πt mA
At t = 0.4sI
= 20π cos 4π(0.4) mA
= 20π cos 1.6π mA
= 20π(−1) mA= -62.83 mA
≈ -63 mA
Therefore, the current flowing in t = 0.4 s is 63 mA (Approximately)
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The amount of energy needed to apply a force of 1 newton over a distance of 1 meter is also called a.
Answer:
Explanation:
The amount of energy needed to apply a force of 1 newton over a distance of 1 meter is also called a joule. The joule (symbol: J) is the SI derived unit of energy. It is the energy transferred to an object when a force of one newton acts on that object in the direction of its motion through a distance of one meter. It is also the amount of energy required to heat 1 gram of water by 1 degree Celsius.
A canister and the hydrogen gas it contains are at 100°C. The canister is placed in a vacuum, and the temperature of the canister and gas begins to decrease. Which of the following statements of reasoning best explains how the canister-gas system loses energy?
High-energy hydrogen molecules collide with lower-energy molecules and the walls inside the canister, losing energy during the collisions.
High-energy hydrogen molecules collide with lower-energy molecules and the walls inside the canister, losing energy during the collisions.
The molecules collide with the walls of the canister, causing the canister molecules to vibrate and carry energy from the canister to the canister’s surroundings.
The molecules collide with the walls of the canister, causing the canister molecules to vibrate and carry energy from the canister to the canister’s surroundings.
Energy is released from the canister as infrared radiation that can travel through the vacuum, causing a decrease in the average energy of the canister and the molecules.
Energy is released from the canister as infrared radiation that can travel through the vacuum, causing a decrease in the average energy of the canister and the molecules.
Energy is released from the canister and travels through the vacuum by convection, causing a decrease in the average energy of the canister and the molecules.
The statement that best explains why the system looses energy is; the Collison of the molecules of hydrogen with the wall of the can carries off energy to the environment.
How does the cannister loose energy?We know that energy is defined as the rate of doing work. Now the temperature of a gas is measure of the kinetic energy of the molecules of the body. In this case, the temperature of the hydrogen in the cannister has to do with how fast the molecules of the hydrogen are moving.
The higher the temperature, the faster the molecules of the hydrogen move. The lower the temperature, the slower the molecules of the hydrogen moves.
As such, the molecules collide with the walls of the canister, causing the canister molecules to vibrate and carry energy from the canister to the canister’s surroundings.
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Three equal charge 1.8*10^-8 each are located at the corner of an equilateral triangle ABC side 10cm.calculate the electric potential due to these charge at the mid point of AB
Answer:
If all these three charges are positive with a magnitude of \(1.8 \times 10^{-8}\; \rm C\) each, the electric potential at the midpoint of segment \(\rm AB\) would be approximately \(8.3 \times 10^{3}\; \rm V\).
Explanation:
Convert the unit of the length of each side of this triangle to meters: \(10\; \rm cm = 0.10\; \rm m\).
Distance between the midpoint of \(\rm AB\) and each of the three charges:
\(d({\rm A}) = 0.050\; \rm m\).\(d({\rm B}) = 0.050\; \rm m\).\(d({\rm C}) = \sqrt{3} \times (0.050\; \rm m)\).Let \(k\) denote Coulomb's constant (\(k \approx 8.99 \times 10^{9}\; \rm N \cdot m^{2} \cdot C^{-2}\).)
Electric potential due to the charge at \(\rm A\): \(\displaystyle \frac{k\, q}{d({\rm A})}\).
Electric potential due to the charge at \(\rm B\): \(\displaystyle \frac{k\, q}{d({\rm B})}\).
Electric potential due to the charge at \(\rm A\): \(\displaystyle \frac{k\, q}{d({\rm C})}\).
While forces are vectors, electric potentials are scalars. When more than one electric fields are superposed over one another, the resultant electric potential at some point would be the scalar sum of the electric potential at that position due to each of these fields.
Hence, the electric field at the midpoint of \(\rm AB\) due to all these three charges would be:
\(\begin{aligned}& \frac{k\, q}{d({\rm A})} + \frac{k\, q}{d({\rm B})} + \frac{k\, q}{d({\rm C})} \\ &= k\, \left(\frac{q}{d({\rm A})} + \frac{q}{d({\rm B})} + \frac{q}{d({\rm C})}\right) \\ &\approx 8.99 \times 10^{9}\; \rm N \cdot m^{2} \cdot C^{-2} \\ & \quad \quad \times \left(\frac{1.8 \times 10^{-8} \; \rm C}{0.050\; \rm m} + \frac{1.8 \times 10^{-8} \; \rm C}{0.050\; \rm m} + \frac{1.8 \times 10^{-8} \; \rm C}{\sqrt{3} \times (0.050\; \rm m)}\right) \\ &\approx 8.3 \times 10^{3}\; \rm V\end{aligned}\).
4. A dry cleaner throws a 22 kg bag of laundry onto a stationary 9.0 kg cart. The cart and the laundry bag
begin moving at 3.0 m/s to the right. Find the velocity of the laundry bag before the collision.
The velocity of the laundry bag before collision is 4.22 m/s. The collision of two objects in the absence of an external force does not affect the momentum of the two bodies.
What is Collision?Collision is the sudden, forceful coming together of two objects in direct contact with each other, such as, two billiard balls, a golf club and a ball, a hammer and a nail head, two cars when being coupled together.
In order to solve this problem, the principle of conservation of momentum can be applied. This tells us that the momentum of a system is preserved before and after a collision.
Both the movements i.e., bag and cart are positive, since they both move in the same direction. Now, the momentum of objects before the collision is equal to the momentum of objects after the collision.
This can be represented as:
m₁ × v₁ = m₂ × v₂
Here, m₁ = mass of the laundry bag = 22kg
v₁ = velocity of the laundry bag
m₂ = sum of the mass of laundry bag and cart = 9kg
v₂ = velocity of the moving cart = 3m/s
m₁ × v₁ = m₂ × v₂
22kg × v₁ = (22+9)kg × 3m/s
v₁ = (31kg × 3m/s)/ 22kg
v₁ = 93/22
v₁ = 4.22m/s.
Therefore, the velocity of the laundry bag before collision is 4.22m/s.
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what was the experimentally determined value of knag from the study described in the passage? 0.02 m-1 0.01 m-1 20 m-1 50 m-1
The experimentally determined value of knag from the study described in the passage is 50 as a slope.
Since, according to Equation 1, the slope of the graph in Figure 2 is the value of KNAG. The slope is \(\frac{\Delta y}{\Delta x}\) =\(\frac{2 - 1}{0.020 - 0.00}\) = \(\frac{1}{0.020}\) = 50.
Slope is calculated by dividing the "vertical change" by the "horizontal change" between any two distinct points on a line. The ratio can alternatively be expressed as a quotient, which yields the same result for any two separate locations on the same line ("rise over run"). A negative "rise" indicates a falling line. A road surveyor may judge that the line is useful, or it may show up in a diagram of a road or a roof as a description or a design. A line is said to be expanding if it climbs from left to right.
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Exercise 9.32 : You are a project manager for a manufacturing company. One of the machine parts on the assembly line is a thin, uniform rod that is 60.0 cmlong and has mass 0.350 kg
(A) What is the moment of inertia of this rod for an axis at its center, perpendicular to the rod? Express your answer with the appropriate units.
The moment of inertia (I) of a thin, uniform rod with an axis at its center and perpendicular to the rod can be calculated using the formula:
I = (1/12) * M * L^2
Where M is the mass of the rod (0.350 kg) and L is the length of the rod (0.60 m, converted from 60.0 cm).
I = (1/12) * 0.350 kg * (0.60 m)^2
I = 0.035 kg * 0.36 m^2
I = 0.0126 kg * m^2
The moment of inertia of the rod is 0.0126 kg*m^2.
The moment of inertia of the given rod can be calculated using the formula:I = (1/12) * m * l^2 where, I = moment of inertia of the rod m = mass of the rodl = length of the rodFor the given rod, m = 0.350 kg and l = 60.0 cm = 0.6 m Substituting the values in the formula:I = (1/12) * m * l^2= (1/12) * 0.350 kg * (0.6 m)^2= 0.007 kg m²Therefore, the moment of inertia of the rod for an axis at its center, perpendicular to the rod is 0.007 kg m².
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A football player kicked a ball at an angle of 37° above the horizontal with an initial velocity of 20 m/s, what is the maximum height reached by the ball?
A. 62 m
b. 26 m
c. 7.4 m
d. 5.1 m
c. 7.4 m is the correct answer
see the attachment for explanation
HOPE THIS HELPS :)
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If the satellite weighs 1000g, orbits the Earth at an energy of 9.8 × 10 ^ 9j, what is the speed of the satellite?
Answer:
1.4×10⁵ m/s
Explanation:
Applying,
K = mv²/2............. Equation 1
Where K = Energy of the satellite, m = mass of the satellite, v = speed of the satellite.
make v the subject of the equation
v = √(2K/m)............ Equation 2
From the question,
Given: K = 9.8×10⁹ J, m = 1000 g = 1 kg
Substitute these values into equation 2
v = √(2×9.8×10⁹/1)
v = √(1.96×10¹⁰)
v = 1.4×10⁵ m/s
Question 1 of 14 Which of the following statements describes a perfectly inelastic collision? O A. An ice hockey player picks up a trophy as he slides past it. O B. A baseball bat hits a baseball into the outfield. O C. A surfer falls off of his surfboard when a wave hits him. D. Two birds collide in midair and fly off in different directions.
Answer: A. An ice hockey player picks up a trophy as he slides past it
Explanation:
A PE X
The statement that best describes a perfectly inelastic collision is
C. A surfer falls off of his surfboard when a wave hits him.
What is collision?A collision is the interaction between two bodies in such a way that the momentum and velocity of one body gets changed due to the presence of other body. There are three types of collision-
1. Elastic collision
2. Inelastic collision
3. Perfectly inelastic collision.
In all types of collision , the momentum of the system before collision and after collision always remains same or we can say that momentum is conserved in collisions
What is elastic collisionAn elastic collision is the one in which kinetic energy is also conserved and coefficient of restitution is one. Both the bodies move separately with different velocities after elastic collision.
What is inelastic collision ?In inelastic collision there is a loss of kinetic energy and coefficient of restitution is less than one.
What is perfectly inelastic collision?In perfectly inelastic collision there is maximum loss of kinetic energy and coefficient of restitution is zero. Both the bodies stick together after collision and move with same velocity
What is coefficient of restitution ?Coefficient of restitution is the ratio of relative velocity of separation after collision to relative velocity of approach before collision.
A surfer falls of his surfboard when a wave hits him is an example of perfectly inelastic collision because in this when water hits the surfers he falls of and sticks to the water , and will also now move with the velocity of water .
So when the surfer falls off his surfboard when a wave hits him is perfectly inelastic collision.
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8.) If a car moving at 50km/h skids 15m with locked brakes, how far does the same car moving at 100km/h
skid with locked brakes?
a. 15m
b. 30m
d. 120m
c. 60m
9.) A lever is used to lift a heavy load. When a 50N force pushes one end of the lever down 1.2m, the load
rises 0.12m. What is the approximate mass (not weight) of the load?
a. 50kg
c. 100kg
d. 500kg
b. 5kg
10.) A block and tackle is used to lift a tractor that weights 210,000N a distance of 10m above the ground. The
maximum force you are able to supply is about 700N. Assuming that you must use every bit of your maximum
force in lifting the tractor (i.e. the tractor begins to rise when you pull with 700N), what length of rope will you
have to pull?
(8) A car starting with a speed v skids to a stop over a distance d, which means the brakes apply an acceleration a such that
0² - v² = 2 a d → a = - v² / (2d)
Then the car comes to rest over a distance of
d = - v² / (2a)
Doubling the starting speed gives
- (2v)² / (2a) = - 4v² / (2a) = 4d
so the distance traveled is quadrupled, and it would move a distance of 4 • 15 m = 60 m.
Alternatively, you can explicitly solve for the acceleration, then for the distance:
A car starting at 50 km/h ≈ 13.9 m/s skids to a stop in 15 m, so locked brakes apply an acceleration a such that
0² - (13.9 m/s)² = 2 a (15 m) → a ≈ -6.43 m/s²
So the same car starting at 100 km/h ≈ 27.8 m/s skids to stop over a distance d such that
0² - (27.8 m/s)² = 2 (-6.43 m/s²) d → d ≈ 60 m
(9) Pushing the lever down 1.2 m with a force of 50 N amounts to doing (1.2 m) (50 N) = 60 J of work. So the load on the other end receives 60 J of potential energy. If the acceleration due to gravity is taken to be approximately 10 m/s², then the load has a mass m such that
60 J = m g h
where g = 10 m/s² and h is the height it is lifted, 1.2 m. Solving for m gives
m = (60 J) / ((10 m/s²) (1.2 m)) = 5 kg
(10) Is this also multiple choice? I'm not completely sure, but something about the weight of the tractor seems excessive. It would help to see what the options might be.
I need help asap it’s due today
For this experiment on a solar collector, the variables include the following:
Time TemperaturePlastic wrapBlack plasticWhat are the variables?In Science, a variable can be defined as a measurable attribute or physical quantity that changes or varies across an experiment and as such can take on different numerical values.
For this experiment on a solar collector, there are different variables and these include the following:
Time TemperaturePlastic wrapBlack plasticFurthermore, you should determine both the greatest and smallest rate of temperature change for each of the trials by subtracting the initial temperature from the final temperature based on the numerical values obtained from this experiment.
In conclusion, the trial with the greatest numerical value has the greatest rate of temperature change while the trial with the smallest numerical value has the smallest rate of temperature change
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Complete Question:
1. What are the variables in this investigation?
2. Which trial had the greatest rate of temperature change?
3. Which trial had the smallest rate of temperature change?
Express all answers in scientific notation and state their units clearly Given D = M/V Find D When M = 2.5kg V =50m³
Answer:
In scientific notation, the density would be 5 x 10^-2 kg/m³ or 5 x 10^-2 g/cm³.
Explanation:
To find D, we just need to divide M by V.
M = 2.5 kg
V = 50 m³
D = M/V = 2.5 kg / 50 m³ = 0.05 kg/m³
The unit of density (D) is kg/m³, which can also be expressed as g/cm³.
In scientific notation, the density would be 5 x 10^-2 kg/m³ or 5 x 10^-2 g/cm³.
What do the arrows in this photograph represent
A. Balanced forces
B. Friction and air resistance
C. Non contacts forces
D. An action-reaction force pair
Answer: D. An action-reaction force pair
Explanation: When you sit in your chair, your body exerts a downward force on the chair and the chair exerts an upward force on your body. There are two forces resulting from this interaction - a force on the chair and a force on your body. Another example would be a person pushing against a wall (action force), and the wall exerts an equal and opposite force against the person.
Answer: D. An action-reaction force pair
Explanation: I took the quiz
When balancing a chemical equation, can a coefficient within a chemical equation be adjusted to
balance the chemical equation?
what would be the importance of a topographic map in a rescue situation?
Answer:
Topographic maps give the user the ability to view a three-dimensional landscape on a two-dimensional map. One who is able to read a topo map can identify the elevation and location of valleys, peaks, ridges, and other land features.
Explanation:hope this helps
Please I want example about scientific Method from real life.
The steps are:-
State a problem
Gather information
Form a hypothesis
Test the hypothesis
Analyze data
Draw conclusion
Answer:
watch mark robers videos videos on yt
Explanation:
a yound double slit has a slit separation 2.50 on which a monochormatic
Answer:Assuming that the question is about a Young's double-slit experiment and there was an error in the question, I will provide a complete answer based on my assumption.
A Young's double-slit experiment has a slit separation of 2.50 micrometers. When illuminated with a monochromatic light of wavelength 600 nanometers, an interference pattern is observed on the screen. The distance between the screen and the slits is 1.20 meters.
The interference pattern consists of bright fringes (maxima) and dark fringes (minima) that are evenly spaced and parallel to each other. The spacing between the fringes depends on the wavelength of light and the slit separation. In this case, the distance between adjacent bright fringes (or dark fringes) can be calculated using the equation d sinθ = mλ, where d is the slit separation, θ is the angle between the line perpendicular to the slits and the line from the slits to the fringe, m is an integer representing the order of the fringe, and λ is the wavelength of light.
Assuming that the screen is placed far enough from the slits, the angle θ can be approximated as tanθ = y/L, where y is the distance from the center of the pattern to the fringe, and L is the distance from the slits to the screen. Using these equations and plugging in the values, the distance between adjacent bright fringes can be calculated as 0.000015 meters or 15 micrometers.
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plzzzzzz helppp out with thiss
Answer:
sorry, I do not know :(
Explanation:
Do not be angry!!!
Tyrell is holding a cup of hot cholate in his hands which cause his hand to feel
warmer. What is happening to the particles in his hands?
Answer:
When Tyrell's hands get warm the particles in his hands are moving faster or more rapidly.
Explanation:
which scenario best demonstrates an example of newton's first law of motion? a a car passenger moves forward when a car suddenly stops. b a shopping cart accelerates when it is pushed. c a rocket lifts off from a launch pad. d a man pushes a canoe off the shore and into the water.
A car passenger moving forward when a car suddenly stops due to inertia best demonstrates newton's first law of motion. Therefore, option (A) is correct.
What Is Newton’s First Law of Motion?Newton’s first law of motion can be described as the object remaining in the state of rest or uniform motion in a straight line unless and until an external force applies to it.
Once the body is set in motion, it won't stop or change its velocity until and unless some external force acts upon it once more. The first law of motion is also called as the law of inertia.
There are two conditions for the first law of motion. If an object is at rest, velocity and acceleration are equal to zero. Therefore, the object continues to be at rest state.
When a body is in motion, velocity is non-zero (v ≠ 0), while acceleration (a = 0) is zero. Therefore, the body continues to be in motion with the same velocity and in the same direction.
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(a) what is the maximum allowed weight of the unit? vectors on the roof
The maximum allowed weight of the unit vectors on the roof is determined by the strength of the roof and the materials used to construct it.
In general, the maximum allowed weight is calculated by taking into account the size and shape of the roof, the type of materials used, and the load-bearing capacity of the structure.
To determine the maximum allowed weight, it is important to consult with a structural engineer or a roofing contractor who can assess the roof and provide a recommendation based on the specific characteristics of the structure.
Additionally, it is important to consider the weight of any additional equipment or materials that may be placed on the roof, such as HVAC units or solar panels, and ensure that the total weight does not exceed the maximum allowed weight.
By following these guidelines, you can ensure that the roof is able to safely support the weight of the unit vectors and any additional loads.
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You push a 10 n object 10 meters. How much work was done on the object
A coconut at rest suddenly explodes into two pieces. no net external force is applied to it.One piece with mass 2m lands a distance d to the right of the starting point. The second piece has mass m. We can ignore air resistance. where dow stew swcond piece land?
Answer:
To the Left
Explanation:
Find the volume of the parallelepiped with adjacent edges p q, p r, and p s: p(−2, 1, 0), q(2, 3, 2), r(1, 4, −1), s(3, 6, 1).
Volume of the parallelepiped with adjacent edges p q, p r, and p s is 14 cubic units.
To find the volume of a parallelepiped with adjacent edges p q, p r, and p s, we can use the scalar triple product.
The scalar triple product is given by the formula: V = |p · (q x r)|, where "·" represents the dot product and "x" represents the cross product.
Step 1: Find the vectors p q, p r, and p s.
p q = q - p = (2, 3, 2) - (-2, 1, 0) = (4, 2, 2)
p r = r - p = (1, 4, -1) - (-2, 1, 0) = (3, 3, -1)
p s = s - p = (3, 6, 1) - (-2, 1, 0) = (5, 5, 1)
Step 2: Find the cross product of vectors p q and p r.
q x r = (4, 2, 2) x (3, 3, -1) = ((2 * -1) - (2 * 3), (4 * -1) - (2 * -1), (4 * 3) - (2 * 3)) = (-8, -2, 6)
Step 3: Find the dot product of vector p and the cross product (q x r).
p · (q x r) = (-2, 1, 0) · (-8, -2, 6) = (-2 * -8) + (1 * -2) + (0 * 6) = 16 - 2 + 0 = 14
Step 4: Find the absolute value of the dot product to get the volume.
V = |p · (q x r)| = |14| = 14 cubic units
Therefore, the volume of the parallelepiped with adjacent edges p q, p r, and p s is 14 cubic units.
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if a bullet is horizontally shot at the same moment another bullet is dropped from the same height, which will hit the ground first?
Both of the bullets will hit the ground at the same time.
If we ignore any kind of air resistance and assume the surface of earth to be completely flat.
Let us first analyze the motion of the dropped bullet,
The initial velocity U is zero, if the height is h, and the acceleration is only because of gravity so it is g, then the time t is,
We can write,
H = ut + 1/2gt²
H = 1/2at²
t = √(2H/g)
Now, let us assume that the bullet is fired with some initial velocity u,
We have to notice that the velocity here is completely in the horizontal direction, so, analyzing the vertical motion,
We can write,
H = ut+1/2gt²
There is no initial velocity in vertical direction,
t = √(2H/g)
So, the time to hit the ground is same in both the cases.
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A girl delivering newspapers covers her route by traveling 3.00 blocks west, 4.00 blocks north, and then 6.00 blocks east. What is the total distance she travels?
Answer:
13 blocks
Explanation:
The total distance the student travels is 13 blocks.
Distance is the length of path covered during the motion of a body.
To find distance:
Total distance = Number of blocks to the west + number of blocks to the north + number of blocks to the east
Total distance = 3blocks + 4blocks + 6blocks = 13blocks
A rollercoaster car has 2500 J of potential energy and 160 J of
kinetic energy at the top of the first hill.
How much energy and what kind of energy will there be at the
bottom of the first hill?
Answer:
xaubUajnaai ajn AJ au aun a
Explanation:
ahayba uabah an aj
Leah is grabbing something out of her desk when she bumps her elbow on the table how does Newton’s third law explain why her elbow now hurts
Answer:
Newtons third law explains ...........
Explanation:
Newton's third law explains why her elbow hurts because Newton's law says that " for every action (force) in nature there is an equal and opposite reaction. In other words, if object A exerts a force on object B, then object B also exerts an equal and opposite force on object A. ", and her elbow's force while moving was equally matched by the table so if her elbow released 30N as her force then the table also released 30 N.
According to Newton's third law, when Lean bumps her elbow on the table it exerts a force on the table, and in reaction, the table exerts an equal magnitude of the force on her elbow and her elbow will hurt.
What is Newton's third law?According to Newton's 3rd law of motion, if an object exerts a force on another, then it also experiences a force, and such forces are called action and reaction pairs.
When the first object exerts a force on the 2nd object, the first object will also experience a force equal in magnitude but in the opposite direction of the applied force.
For example, when a person is swimming, he pushes the pool water backward direction. In return, the water pushes him in a forward direction, which makes him proceed.
Therefore, when Lean bumps her elbow on the table, the table exerts an equal force on her elbow therefore, her elbow hurts.
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2. Why is transmission fluid red?
A) O Viscosity modifiers turn the fluid red.
B) O Oxidation preventers turn the fluid red.
QO To distinguish it from other fluids and prevent confusion for the user
D) O Red fluids are more slippery.
Transmission fluid red is made to be red in color in order
C: To distinguish it from other fluids and prevent confusion for the user.
Transmission fluid are fluids that are used in in various types of transmissions, these could be used with CVT as well as dual clutch models.Transmission fluid could be an automatic transmission fluid or manual transmission fluid. Traditional transmission fluid is been produced from crude oil as well as the reshaping of hydrocarbons . Synthetic transmission fluid is produced by various chemical reactions, at high temperature, it can breakdown and oxidize.Uses of Transmission fluid are;lubrication of the transmission moving part.Conditions seals to prevent leakingThe color of Transmission fluid red is red, as a result of the added dye, and this will help to make it unique from other fluids and to be able to be identified easily by the user.It does not has anything to do with it's viscousity or any other chemical properties.Therefore, option C is correct because transmission fluid doesn't have any chemical properties associated with it's red color.
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If the same pressure is exerted over a greater area will more of less force result?
more force
less force
the same amount of force
Answer:
less force
Explanation:
less force because they is increase in area and not enough energy to balance the whole equation
Answer:
the same
Explanation: