To determine the diameter of the piston rod for a cylinder with a diameter of 1.8 m and a steam pressure difference of 0.3 N/mm², given a rod length of 2.5 m, a modulus of elasticity of 210 kN/mm², and a factor of safety of 6.
In this scenario, we can use the formula for stress to calculate the diameter of the piston rod. The stress (σ) is equal to the force (F) divided by the area (A). The force is given by the pressure difference (ΔP) multiplied by the cross-sectional area (A) of the piston.
The area can be calculated using the formula for the area of a circle, which is πr², where r is the radius of the piston. By substituting the given values, we can solve for the radius (r) and subsequently the diameter (2r) of the piston rod.
To ensure the safety of the rod, a factor of safety is applied. The factor of safety determines the margin by which the rod can withstand the applied stress without failure. In this case, the factor of safety is given as 6. Therefore, the calculated diameter of the piston rod needs to be multiplied by the factor of safety to provide the desired level of safety.
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Jack and Jill are pushing a 3 kg object on a rough surface; the object accelerates at a rate of 5 m/s2. Calculate the force applied by the Jack knowing that Jill is pushing 4 N and the rough surface applies 2 N force on the box as friction force.
Answer:
13 N
Explanation:
From the question,
(F₁+F₂)-F' = ma................ Equation 1
Where F₁= Jack's force, F₂ = Jill's force, F' = Friction force, m = mass of the object, a = acceleration of the object.
Given: F₂ = 4 N, F' = 2 N, m = 3 kg, a = 5 m/s²
Substitute these values into equation 1 and solve for F₁
(F₁+4)-2 = 3×5
(F₁+4)-2 = 15
F₁+4 = 15+2
F₁+4 = 17
F₁ = 17-4
F₁ = 13 N
Hence the force applied by Jack is 13 N
Newer aircraft jet catapult systems use magnets instead of steam. The launch still takes 1.19 seconds, but the acceleration is a about 47.41 m/s2. Determine the length of the runway on the carrier, assume the aircraft starts from REST
Answer:
33.6 m
Explanation:
Given:
v₀ = 0 m/s
a = 47.41 m/s²
t = 1.19 s
Find: Δx
Δx = v₀ t + ½ at²
Δx = (0 m/s) (1.19 s) + ½ (47.41 m/s²) (1.19 s)²
Δx = 33.6 m
Explain why it takes much more effort to
stop a freight train compared with a car.
Include the terms force, mass and
acceleration in your description
Answer:
Mass Kinetic Energy and Jules
Explanation:
The train in question is big and heavy and a car is decently heavy but say a train moving at 55 mph can plow through a car and a car driving at 55mph driving at a train will be stopped dead in its tracks. This is because newtons laws of motion specifically an object in motion will stay in motion unless its opposed. The train also has a payload behind it meaning it hurts with force while a car doesn't have to much mass behind it. The train takes loner to stop for as it's acceleration as well as it's deceleration are very slow because its huge and takes a lot of force to stop it while a car is very centralized and compact when it comes to weight and its brakes are usually effective at stopping at 55 mph in about 2 to 6 seconds while a train might stay moving for a good 35 seconds. The force behind the train is immense for as even if the wheels don't spin at all the train will still move since the force behind it is great and a cars tires have a lot of grip and not a lot mass which plays into the force the car has so it can stop simply.
A 101 Kg racer moves around a flat circular track with a radius of 55 m with a constant speed. The car makes one revolution around the track every 13 seconds. Find the speed of the car.
Answer:
26.6 m/s
Explanation:
\(v = r \alpha \\ v = r( \frac{2\pi}{t} ) \\ v = (55)( \frac{2\pi}{13} ) \\ v = 26.6 \: m {s}^{ - 1} \)
Pls help. Due in 20 minutes!
Answer:
Explanation:
Remark
Let's start with the second question first. If the two forces aren't balanced, the truck will move in some direction. So the downward force of the truck must equal the upward force provided by the pavement pushing up.
Mass of truck = 9500 kg. Remember mass is directionless and it is not a force or weight. That truck would have a mass of 9500 kg anywhere in the universe.
Givens
m = 9500
a = 9.8
Force or weight = ?
Formula and Solution
F = m * a
F = 9500 * 9.8
F = 93100 N
Comment
That force does have a direction. It is down.
The balancing force (you call it the reaction force) going upward is 93100 N
Which of the following feedbacks are definitely positive (that is, there is no uncertainty that they are positive)? [select all that apply] Laspe rate feedback Water vapor feedback Ice albedo feedback Cloud feedback Question 4 1 pts Which of these feedbacks affect the terrestrial radiation budget? [select all that apply] Lapse rate feedback Ice-albedo feedback Water vapor feedback Cloud feedback
The positive feedbacks without uncertainty are water vapor feedback. The feedbacks that affect the terrestrial radiation budget are lapse rate feedback, ice-albedo feedback, water vapor feedback, and cloud feedback.
Among the feedbacks listed, the ones that are definitely positive (without uncertainty) are: 1. Water vapor feedback: An increase in temperature leads to an increase in atmospheric water vapor content, which amplifies the greenhouse effect and further enhances warming. This feedback is positive. The feedbacks that affect the terrestrial radiation budget (the balance of incoming and outgoing radiation at the Earth's surface) are: 1. Lapse rate feedback: This feedback is related to the vertical temperature profile of the atmosphere. If the lapse rate (the rate at which temperature changes with altitude) decreases with warming, it can amplify the warming or cooling effects. It affects the radiation budget indirectly by influencing the atmospheric temperature structure. 2. Ice-albedo feedback: When temperatures rise, ice and snow cover decrease, exposing darker surfaces (such as land or ocean) that absorb more solar radiation. This leads to further warming, creating a positive feedback loop that affects the radiation budget. 3. Water vapor feedback: As mentioned earlier, an increase in temperature leads to increased atmospheric water vapor content. Water vapor is a potent greenhouse gas that affects the radiation budget by trapping outgoing longwave radiation and amplifying the greenhouse effect.b4. Cloud feedback: Changes in temperature and atmospheric moisture content can affect cloud formation and properties. Clouds can either trap heat (positive feedback) or reflect sunlight back to space (negative feedback), depending on their type, altitude, and coverage. The net effect of cloud feedback on the terrestrial radiation budget depends on the specific cloud changes in response to warming.
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A 4.0 kg cube is placed in a container of water. A student observes that the cube floats while performing simple harmonic motion. The net force exerted on the cube F represents the sum of the force due to gravity and the force exerted on the cube by the water. A force probe is used to measure F as a function of the cube's distance y from the bottom of the container. The graph shows F as a function of y, where the positive direction is upward. Which of the following statements is correct about the motion of the cube if it is released from rest at a vertical position of y = 0.05 m?
The graph showing F as a function of y shows that D, the cube will oscillate between y=0.05 m and y=0.09 m.
How to determine oscillation?From the graph, the force exerted on the cube increases linearly as the cube is displaced upwards from its equilibrium position at y = 0.07 m. When the cube is displaced to y = 0.05 m, the net force is upward and greater than the weight of the cube. This causes the cube to accelerate upward.
As the cube moves upward, the force exerted by the water decreases until it is equal to the weight of the cube at y = 0.07 m. At this point, the net force on the cube is zero and the cube momentarily comes to rest. The cube then continues to move upward, but the force exerted by the water is now downward, causing the cube to slow down and eventually come to a stop at y = 0.09 m.
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The complete question is:
A 4.0 kg cube is placed in a container of water. A student observes that the cube floats while performing simple harmonic motion. The net force exerted on the cube F represents the sum of the force due to gravity and the force exerted on the cube by the water. A force probe is used to measure F as a function of the cube's distance y from the bottom of the container. The graph shows F as a function of y, where the positive direction is upward. Which of the following statements is correct about the motion of the cube if it is released from rest at a vertical position of y = 0.05 m?
A) The cube will have a constant upward acceleration of 2.0 m/s².
B) The cube will have a constant downward acceleration of 2.0 m/s²
C) The cube will travel upward with a changing. c acceleration until it comes to rest at a position of y= 0.07 m.
C) The cube will oscillate between y = 0.05 m and y = 0.09 m.
an earthquake sends seismic waves outward from the epicenter. the waves travel through different media in different directions. what will be true for all people who feel the earth shaking?(1 point) responses the seismic waves will travel outward at the same speed in all directions. the seismic waves will travel outward at the same speed in all directions. the amplitude of the shaking will be the same for all observers. the amplitude of the shaking will be the same for all observers. the earth will rise and fall with the same frequency. the earth will rise and fall with the same frequency. the seismic waves will be equally far apart for all observers.
Seismic waves are sent from the AP center in an earthquake. Waves move through various materials in a variety of orientations. The seismic waves would go forth at the same pace in all directions, which would be true for everyone who felt the ground trembling. Here option A is the correct answer.
When an earthquake occurs, it generates seismic waves that travel through the Earth's layers and cause the ground to shake. These waves propagate in different directions and interact with the media they encounter, including rock, soil, and water. As a result, the shaking experienced by people who feel the earthquake may vary depending on their location and the type of surface they are standing on.
Out of the given options, only option A can be considered true for all people who feel earth-shaking. This is because seismic waves travel outward from the epicenter in all directions at the same speed, regardless of the type of surface they encounter. However, the other options are not necessarily true for all observers.
Option B, which suggests that the amplitude of the shaking will be the same for all observers, is not accurate because the intensity of the shaking can vary depending on factors such as the distance from the epicenter, the direction of propagation, and the type of soil or rock that the seismic waves encounter.
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Complete question:
An earthquake sends seismic waves outward from the epicenter. the waves travel through different media in different directions. what will be true for all people who feel the earth shaking?(1 point)
A - the seismic waves will travel outward at the same speed in all directions.
B - the amplitude of the shaking will be the same for all observers.
C - the earth will rise and fall with the same frequency.
D - the seismic waves will be equally far apart for all observers.
Which is an example of the law of multiple proportions?
A. CO and CO2
B. CO and H2O
C. CO and CH4
D. CO and C2 H4
Answer:
the answer is letter b i think
Pls change it if you think my answer is not right ^^
an aquarium 2 m long, 1 m wide, and 1 m deep is full of water. find the work (in j) needed to pump half of the water out of the aquarium. use the fact that the density of water is 1000kg/m3. work done
The total work done is 2450 J .
How to estimate total work done ?The product of a force's component acting in the displacement's direction and its magnitude is known as the work done by the force. Formula. The following formula can be used to calculate work by multiplying force and distance in the direction of the force. Unit: W = F d.
In order to complete this exercise, we must determine the height of the tank using our working knowledge.
Allow the aquarium's top to rise to a height of 0.
Allow the aquarium's bottom to be 1 inches high.
The force is therefore equivalent to:
F= mg = 2px ×g
F = 2000x × 9 .8
F = 19600x
The total work done will be:
\(W=\int_0^{0.5} 19600 x d x=2450 \text { Joules }\)
Therefore the value of the total work done is 2450 J
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what are two ways that machines make work easier?
Answer:
1. Machines can increase the speed of a task, allowing more work to be done in a shorter amount of time.
2. Machines can reduce the amount of physical effort required to complete a task, allowing for more efficient use of energy.
When you run and jump onto a stationary skateboard to ride forward, what impulse do you receive from the skateboard at the moment you land on it? Down, up, forward, and/or backward. Please explain
For an isolated system, the magnitude of the total momentum can change. True or False. Please explain
When you run and jump onto a stationary skateboard to ride forward, you receive an impulse from the skateboard in the forward direction. The statement "For an isolated system, the magnitude of the total momentum can change" is false because total momentum of an isolated system remains constant.
This is because the impulse is the change in momentum of an object, and momentum is a vector quantity. When you land on the skateboard, it applies a force on you in the forward direction over a short period of time, which causes a change in your momentum. As a result, you gain forward momentum, allowing you to move forward on the skateboard.
For the second question, in an isolated system, the magnitude of the total momentum remains constant. This statement is false. According to the law of conservation of momentum, the total momentum of an isolated system remains constant if there are no external forces acting on the system.
However, this does not mean that the magnitude of the total momentum cannot change. The direction and distribution of momentum within the system can change, but the total momentum remains constant. In other words, the vector sum of all momenta within the system is conserved, but the individual magnitudes of those momenta can change.
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what is a magnet and hows does it work?
Answer:
All magnets have north and south poles. Opposite poles are attracted to each other, while the same poles repel each other. When you rub a piece of iron along a magnet, the north-seeking poles of the atoms in the iron line up in the same direction. The force generated by the aligned atoms creates a magnetic field.
Explanation:
Answer:
Magnets are objects that produce magnetic fields and attract metals like iron, nickel and cobalt. The magnetic field's lines of force exit the magnet from its north pole and enter its south pole. Permanent or hard magnets create their own magnetic field all the time.
A boy pushed horizontally a 3.5 kg plastic chair across the slippery floor. If
the acceleration of the plastic chair is 2.2 m/s2 to the left, what is the net force
exerted on the plastic chair?
Answer:
7.7 N to left or -7.7 N
Explanation:
slippery floor means no frictional force
Equation for force
F = m * a , where F is force, m is mass in kg, and a is acceleration in m/s²
F = 3.5 * -2.2 m/s² = -7.7 N
PLZ SOMEONEE HELPP I’LL MARK BRANLIESTTTT
Answer:
I'm pretty sure it's 37.5 joules of energy
Explanation:
hope this helps!
dmv if you lose control of your vehicle and collide with a fixed object, such as a tree, at 60 m.p.h., the force of impact is the same as driving your vehicle off a:
If you lose control of your vehicle and collide with a fixed object, such as a tree, at 60 m.p.h., the force of impact is the same as driving your vehicle off a cliff and falling 127 feet.
When a vehicle collides with a fixed object at high speed, the kinetic energy of the vehicle is transferred into other forms of energy such as deformation of the car, sound, heat, and kinetic energy of the object struck. This transfer of energy can cause a significant amount of damage to the vehicle and the passengers.
According to the National Highway Traffic Safety Administration (NHTSA), a 60 mph collision with a fixed object is equivalent to a fall from a height of 127 feet. This is because the force of impact is the same as that produced by a free fall from a height of 127 feet, which is about 39 meters. This emphasizes the importance of safe driving practices and adhering to traffic regulations to prevent such accidents from occurring.
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The complete question is-
If you lose control of your vehicle and collide with a fixed object, such as a tree, at 60 m.p.h., the force of impact is the same as driving your vehicle off a: _________.
In a partially-filled array, the capacity may be less than the array's size.
When inserting a value into a partially-filled array, in ascending order, the insertion position may be the same as capacity.
When inserting elements into a partially-filled array, the array should be declared const.
When comparing two partially-filled arrays for equality, both arrays should not be declared const.
When deleting an element from a partially-filled array, it is an error if the index of the element to be removed is < size.
When inserting a value into a partially-filled array, elements following the insertion position are shifted to the left.
In a partially-filled array, the size represents the allocated size of the array.
In a partially-filled array, the capacity represents the effective size of the array.
In a partially-filled array, all of the elements are not required to contain meaningful values
When inserting an element into a partially-filled array, it is an error if size < capacity.
In a partially-filled array, all of the elements contain meaningful values
When deleting elements from a partially-filled array, the array should be declared const.
In a partially-filled array capacity represents the number of elements that are in use.
When searching for the index of a particular value in a partially-filled array, the array should not be declared const.
When inserting a value into a partially-filled array, in ascending order, the insertion position is the index of the first value smaller than the value.
True or False :
The statement "When inserting an element into a partially-filled array, it is an error if size < capacity" is true. When inserting an element into a partially-filled array, it is an error if size < capacity.How to insert a value into a partially-filled array?
The array should be traversed starting from the right end, where the last value has been placed, until the position of the insertion value is found. If the value is less than or equal to the value at the current position, move one space to the left. Insert the value in the position to the right of the current position when it is greater than the value at the current position. If the insertion position is the same as the array capacity, the value can be inserted at that location.The insertion of the element into the partially filled array shifts all the elements that come after the insertion position to the right. If the element is to be inserted at index k, and the current elements at positions k to size-1, they will be moved to k+1 to size.If the deletion of an element is to be performed in a partially filled array, it is an error if the index of the element to be removed is greater than or equal to the size of the array. The elements will be shifted to the right to fill the vacant position when an element is deleted.The following are true for a partially-filled array:In a partially-filled array, the capacity represents the effective size of the array.In a partially-filled array, all of the elements are not required to contain meaningful values.In a partially-filled array, the size represents the allocated size of the array.The number of elements that are in use is represented by the capacity in a partially-filled array.
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Find the gravitational force between the
Sun and the Earth.
Given Mass of the Sun = 1.99x10³0 kg
Mass of the Earth = 5.98x10²4kg
The average distance between the Earth
and the Sun = 1.5x10¹¹ m.
Answer:
The process is given in the pic.
I have taken the average masses so u substitute the values and solve hope it will help :)❤
The mass of an object is 50 kg. If its weight is 600N on a certain planet. Calculate the
gravitational field strength of the planet.,
Answer: The answer is 700kg
Explanation:
if an electron's position can be measured to a precision of 12 nm , what is the uncertainty in its speed?
The uncertainty in the electron's speed is approximately 3.87 × \(10^4}\) m/s.
According to the Heisenberg uncertainty principle, there is a fundamental limit to the precision with which certain pairs of physical properties, such as position and momentum, can be known simultaneously. The uncertainty principle states that the product of the uncertainties in the measurements of position (Δx) and momentum (Δp) must be greater than or equal to Planck's constant divided by 4π.
Mathematically, the uncertainty principle is expressed as
Δx * Δp \(\geq\) h / (4π)
Here, Δx represents the uncertainty in position, and Δp represents the uncertainty in momentum. However, momentum can be calculated using the equation
momentum (p) = mass (m) * velocity (v)
Rearranging the equation, we have
velocity (v) = momentum (p) / mass (m)
To determine the uncertainty in speed, we need to calculate the uncertainty in velocity. Assuming we are dealing with an electron, we can use the known mass of an electron (m) and the uncertainty principle.
The mass of an electron (m) is approximately 9.10938356 × \(10^{-31}\) kg, and Planck's constant (h) is approximately 6.62607015 × \(10^{-34}\) J·s.
Given the uncertainty in position (Δx) of 12 nm (converted to meters)
Δx = 12 nm = 12 × \(10^{-9}\) m
Using the uncertainty principle equation, we can solve for Δp
Δx * Δp \(\geq\) h / (4π)
(12 × \(10^{-9}\)) * Δp \(\geq\) (6.62607015 × \(10^{-34}\)) / (4π)
Δp \(\geq\) (6.62607015 × \(10^{-34}\)) / (4π * 12 × \(10^{-9}\))
Δp \(\geq\) 3.527 × \(10^{-26}\) kg·m/s
Now, we can calculate the uncertainty in velocity (Δv) by dividing the uncertainty in momentum (Δp) by the mass of the electron (m):
Δv = Δp / m
Δv = (3.527 × \(10^{-26}\) ) / (9.10938356 × \(10^{-31}\))
Δv = 3.87 × \(10^4}\) m/s
Therefore, the uncertainty in the electron's speed is approximately 3.87 × \(10^4}\) m/s.
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A mass of 0.1kg oscillates in simple harmonic
motion with an amplitude of 0.2m and a period
of 10 second. Calculate the maximum kinetic energy.
The maximum kinetic energy of the mass performing simple harmonic motion is 7.88 joules.
What is Kinetic energy of any general body?The kinetic energy of any body is the energy possessed by the body due to virtue of its motion is called Kinetic energy.
Given in the question is a mass of 0.1 kg oscillating in simple harmonic
motion. From the question, we can write -
Mass [M] = 0.1 kg
Amplitude [A] = 0.2 m
Time period [T] = 10 s
The Kinetic energy of a Simple harmonic motion is given by -
K.E = 1/2 mω²a²cos²(ωt + Φ)
For maximum kinetic energy -
ωt + Φ = 0
Therefore -
K.E [max] = 1/2 mω²a²
Now -
Angular frequency = ω = 2πT = ω = 2 x 3.14 x 10 = 62.8 s
The maximum kinetic energy will be -
K.E [max] = 1/2 mω²a² = 1/2 x 0.1 x 62.8 x 62.8 x 0.2 x 0.2 = 7.88 Joules
Therefore, the maximum kinetic energy of the mass performing simple harmonic motion is 7.88 joules.
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What is produced by AC and DC generators?
A. mechanical energy
B. chemical energy
C. electrical energy
Answer:
I'm positive the Answer to this would be C :)
Help me with this please anyone
Answer:
The 1st reaction is synthesis and the 2nd reaction is a double displacement.
If there is a closed path for the flow of current, then:A.an electrical circuit exists.B.charge can accumulate in the path.C.at least one switch in the circuit is open.D.there will be no resistance at all to the current.
Given:
There is a closed path for the flow of current.
Answer and explanation:
A correct option is an option (A). Since the path is closed, the current will flow through the circuit.
An option (B) is incorrect because the charge does not accumulate in a closed path.
Option (C) is also incorrect because the path is closed, and the circuit cannot be open.
Option (D) is also an incorrect option because there is always a resistance provided by the metal wire.
What is the term used to describe the energy of a system that is available to do work?.
The term used to describe the energy of a system that is available to do work is free energy.
What is free energy?Free energy is the energy that is available in a particular chemical system to do useful work.
The Gibbs free energy denoted by G is the enthalpy of a system minus the product of its entropy and absolute temperature.
It is referred to as free because the energy is readily available anytime. Free energy is measured in kilojoules per mole (KJ/mol).
Therefore, it can be said that the term used to describe the energy of a system that is available to do work is free energy.
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A car is traveling at 15. 5 m/s, and the driver sees a traffic light turn red. After 0. 321 s (the reaction time), the driver applies the brakes, and the car decelerates at 6. 2 m/s2. What is the stopping distance of the car, as measured from the point where the driver first sees the red light?
Stopping distance of the car, as measured from the point where the driver first sees the red light, is 43.95 meters We can use distance-time formula.
To calculate the stopping distance of the car, we need to determine the distance traveled during the driver's reaction time and the distance traveled while the car is decelerating.
During the driver's reaction time, the car will continue to move forward at its initial speed of 15.5 m/s. The distance traveled during this time is:
\(d_reaction = v_initial * t_reaction = 15.5 m/s * 0.321 s = 4.98 m\)
After the driver reacts, the car begins to decelerate at a rate of \(6.2 m/s^2\). Use equation:
d =\(v_initial * t + (1/2) * a * t^2\)
where d: distance traveled, v_initial: initial velocity, t: time, a: acceleration, and final velocity = 0 (since car stops).
We need to find the distance traveled during the deceleration period, so we can rearrange the equation to solve for d:
d = \((v_initial^2) / (2a)\)
Put values:
\(d_deceleration = (15.5 m/s)^2 / (2 * -6.2 m/s^2) = 38.97 m\)
Note that we used a negative value for acceleration, since the car is decelerating (slowing down) rather than accelerating (speeding up).
The total stopping distance is the sum of the distance traveled during the driver's reaction time and the distance traveled while decelerating:
\(d_total = d_reaction + d_deceleration = 4.98 m + 38.97 m = 43.95 m\)
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A cosmic catastrophic event occurred that caused the tilt of the Earth's axis relative to its plane of orbit to increase from 23.5 degrees to 90 degrees. The most obvious effect of this change would be
Answer: The elimination of seasonal variations
Explanation:
Since the cosmic catastrophic event which occurred led to the tilt of the Earth's axis relative to the plane of orbit to increase from 23.5° to 90°, the most obvious effect of this change would be the elimination of seasonal variations.
It should be noted that seasonal variation refers to the variation in a time series that's within a year which is repeated. The cause of seasonal variation can include rainfall, temperature, etc.
Ill mark the brainliest pls lmk what answer ty
2800 m
Further explanationGiven
time = 80 s
average velocity = 35 m/s
Required
total distance before it broke down
Solution
Average velocity : total displacement : total time
Can be formulated
avg velocity = Δx : Δt
Input the value :
Δx=avg velocity x Δt
Δx = 35 m/s x 80 s
Δx = 2800 m
In addition, if we are asking for velocity, we must know the starting and ending points (displacement)
But if we calculate the total distance, what is written is the average speed
avg speed = total distance : total time
How would increasing the pressure of this reaction affect the equilibrium? 3H2 + N2 + 2NH3
Answer: (C) H2 and N2 would react to produce more Nh3
Explanation:
A p e x
Find the area enclosed by a rectangle that is 1300 m wide and 1630 m long. Write your answer so that it has the correct number of significant figures.
Answer:
2120000m^2
Explanation:
1300* 1660 and there is 3 significant figures, so the 9 would make the round to a 2.