The values of t for which the rocket's height is h feet are obtained by solving the equation h(t) = -16t² + vt + h, where h is the height in feet and v is the initial upward velocity.
To find the values of t for which the rocket's height is h feet, we use the equation of motion for the rocket:
h(t) = -16t² + vt + h,
where h is the height in feet,
t is the time in seconds, and
v is the initial upward velocity of the rocket.
To find the values of t, we set h(t) equal to the desired height h feet and solve for t.
The equation is quadratic in form, and we can use the quadratic formula to solve for t. Once we find the values of t, we can determine the times at which the rocket's height is h feet.
It's important to note that there may be one, two, or no real solutions depending on the height h, the initial velocity v, and the trajectory of the rocket.
If there are two real solutions, it means the rocket reaches the desired height h at two different times during its flight. If there are no real solutions, it means the rocket does not reach the desired height h during its flight.
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Where is the light energy converted into an electron flow.
During photosynthesis, light energy is converted into an electron flow in the reaction center chlorophyll.
What is photosynthesis?Photosynthesis can be defined as a biological and chemical process through which green plants (autotrophs) convert light energy (sunlight) into chemical energy.
The chemical reaction for photosynthesis.In Science, photosynthesis is represented by the following chemical reaction:
\(Carbon \;dioxide + water + light energy \rightarrow sugar + oxygen\)
In conclusion, the electrons found within the pigment molecules are excited by visible light, which is then converted into an electron flow in the reaction center chlorophyll.
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purge units are designed to remove noncondensables from a(n) _____.
Purge units are designed to remove noncondensables from a refrigeration system.To keep refrigeration equipment running at peak performance and to avoid equipment breakdowns and lost product, it is important to maintain and operate the equipment properly.
One crucial maintenance component of a refrigeration system is the purge unit.Purge units are designed to remove noncondensables from a refrigeration system. When air enters a refrigeration system, it becomes trapped and accumulates, reducing the efficiency of the system and increasing the likelihood of breakdowns.
To avoid this, purge units work to remove the air and other noncondensable gases from the system through an air eliminator. The purge unit automatically releases the air and other noncondensable gases as they accumulate, keeping the refrigeration system running smoothly and efficiently.
Aside from purging the refrigeration system of noncondensables, some purge units can also be used to detect leaks in the system. If the purge unit is calibrated properly, it can identify the specific gas that is being released and alert the maintenance team to any potential leaks in the system. In addition, some purge units also have the ability to capture and reuse the refrigerant that is released, making them more environmentally friendly.
In summary, purge units are essential components of refrigeration systems that work to remove noncondensable gases from the system to ensure it runs at peak performance.
These units not only help to keep the system operating smoothly but also have the added benefit of detecting any potential leaks in the system. With regular maintenance and proper operation of the purge unit, refrigeration equipment can provide reliable service and reduce the likelihood of equipment failure and lost product.
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Question 2
Any electricity charged object creates an electric field. Walking across carpet in wool socks can create an electric charge. This
observation is evidence for which characteristics of electrical forces?
They generate electricity by contact.
They can be generated by electricity.
OOO
They can exert a force across a distance.
They are moving due to magnetism.
Answer:
They generate electricity by contact.
Explanation:
The observation presented by the question above shows an example of electricity generated by the contact, which can also be called triboelectrification. This type of electricity is created when two objects made of different materials come into contact with each other, and that contact is interrupted soon afterwards, as occurs when someone, wearing woolen socks, walks over the carpet.
For triboelectrification to occur, it is necessary that at least one of the objects involved is electrically charged. This object, when in contact with another object, will transfer electrons carrying the neutral object, until the two objects have the same electrical potential. When interrupting the contact between the objects, the two are left with equal loads of energy.
The magnitude of the magnetic field generated by an electromagnet is:.
We have that the magnitude of the magnetic field is determined by the amount of current produced.
The magnitude of the magnetic field generated by an electromagnetGenerally, the magnetic field strength is called the tesla This is measured as one Newton per ampere-meter.
Electromagnet is a magnet where the magnetic field is created by an electric current,
Therefore the magnitude of the magnetic field is determined by the amount of current produced
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for the parallel electrodes, is the average electric field in the fringe region smaller or larger than in the central region?
The final answer are average electric field in the fringe region is smaller than in the central region in parallel electrodes.
According to Gauss's law, the electric field's magnitude E between two parallel plates carrying uniform charge densities σ1 and σ2 in a vacuum is given by the formula; E = σ1 - σ2 / ε0 where ε0 is the permittivity of free space.
A fringe region is formed near the edges of parallel plates, where the electric field's strength is weak due to the presence of fringe fields.
The electric field between two plates with uniform charge densities is constant over the central region and weaker at the edge region.
So, the average electric field in the fringe region is smaller than in the central region.
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Light strikes a metal surface, causing photoelectric emission. The stopping potential for the ejected electrons is 7.5 V, and the work function of the metal is 3.1 eV. What is the wavelength of the incident light
The wavelength of the incident light is approximately 314 nanometers.
The energy of a photon of light is given by:
E = hc/λ
where E is the energy of the photon, h is Planck's constant, c is the speed of light, and λ is the wavelength of the light.
In photoelectric emission, the energy of the incident photon must be greater than or equal to the work function (ϕ) of the metal in order for an electron to be ejected. The energy of the ejected electron is given by:
K = E - ϕ
where K is the kinetic energy of the electron.
In the case of the stopping potential (V_stop), the kinetic energy of the ejected electrons is equal to the potential energy required to stop them, so we have:
K = eV_stop
where e is the elementary charge.
Combining these equations, we get:
E = K + ϕ = eV_stop + ϕ
Substituting the values given in the problem, we get:
hc/λ = eV_stop + ϕ
(6.626 × J s) × (3.00 × \(10^8\) m/s) / λ = (1.602 × 10⁻¹⁹ C) × (7.5 V) + (3.1 eV) × (1.602 × 10⁻¹⁹ J/eV)
λ = hc / (eV_stop + ϕ)
λ = (6.626 ×10⁻³⁴ J s) × (3.00 × \(10^8\)m/s) / [(1.602 × 10⁻¹⁹ C) × (7.5 V) + (3.1 eV) × (1.602 × 10⁻¹⁹J/eV)]
λ = 3.14 ×10⁻⁷ m
So the wavelength of the incident light is approximately 314 nanometers.
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Which of the following is an example of thermal energy?
O Lightning
O Food
O Nuclear power
O Melting ice cream
Answer:
melting ice cream
Explanation:
in order for the ice cream to melt, thermal energy (heat) must be applied to it.
A force of 5 N accelerates an object. The object's mass is 50 g. What is the acceleration of the object? (Formula: F=ma) 0. 01 m/s2 0. 1 m/s2 10 m/s2 100 m/s2.
Answer:
it's 100m/s2
Explanation:
a=f/m
or,a=5/50/1000. (mass si unit is kg and 1kg=1000g
or,a=5/0.005
or,a=100m/s2
PLEASE HELP!!
Suppose an ostrich runs 1.5 km at a speed of 58 km/h and then runs another 1.5 km at a speed of 29 km/h. What is the ostrich’s average speed during the 3.0 km run? (Hint: find the total time first by finding the time of each 1.5 km segment)
The ostrich's average speed during the 3.0 km run is approximately 38.65 km/h.
The average speed of the ostrich during the entire 3.0 km run, we need to calculate the total time taken for both segments and then divide the total distance by the total time.
Calculate the time for each segment:
Time taken for the first 1.5 km segment at 58 km/h:
Time = Distance / Speed
= 1.5 km / 58 km/h
≈ 0.02586 hours
Time taken for the second 1.5 km segment at 29 km/h:
Time = Distance / Speed
= 1.5 km / 29 km/h
≈ 0.05172 hours
Calculate the total time:
Total Time = Time for the first segment + Time for the second segment
Total Time ≈ 0.02586 hours + 0.05172 hours
≈ 0.07758 hours
Calculate the average speed:
Average Speed = Total Distance / Total Time
Average Speed = 3.0 km / 0.07758 hours
≈ 38.65 km/h
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Can I have help please , ASAP?
Could someone help me? A cannon is fired with an initial horizontal velocity of 20 m/s and initial vertical velocity of 25 m/s . After 3s in the air, the canon hits its target. How far away was the canon from its target?
A high jumper leaves the ground with an initial velocity of 10 m/s rightward at an angle of 15 degrees . What is the high jumper's initial horizontal velocity?
A block has an initial speed of 9.0 m/s up an inclined plane that makes an angle of 38 ∘ with the horizontal.Ignoring friction, what is the block's speed after it has traveled 2.0 m?
After travelling 2.0 m up the inclined plane, the block's speed is roughly 11.6 m/s.
Assuming that there is no friction, we can use the conservation of energy principle to solve this problem.
The initial kinetic energy of the block is given by:
K₁ = (1/2) * m * v₁²
where m is the mass of the block, v₁ is the initial speed, and K₁ is the initial kinetic energy.
The final kinetic energy of the block after it has traveled a distance of 2.0 m up the incline is given by:
K₂ = (1/2) * m * v₂²
where v₂ is the final speed and K₂ is the final kinetic energy.
The potential energy gained by the block due to its increase in height is given by:
U = m * g * h
where g is the acceleration due to gravity and h is the height gained by the block.
Since energy is conserved, the initial kinetic energy plus the gained potential energy must equal the final kinetic energy:
K₁ + U = K₂
Substituting the expressions for K₁, K₂, and U, we get:
(1/2) * m * v₁² + m * g * h = (1/2) * m * v₂²
Simplifying and solving for v2, we get:
v₂ = √(v₁² + 2gh)
where h is the height gained by the block, which is equal to:
h = d * sin(θ)
where d is the distance traveled along the incline and θ is the angle of the incline.
Substituting the given values, we have:
v₁ = 9.0 m/s
θ = 38°
d = 2.0 m
g = 9.81 m/s²
So, h = 2.0 m * sin(38°) ≈ 1.22 m
Substituting these values into the equation for v₂, we get:
v₂ = √((9.0 m/s)² + 2 * 9.81 m/s² * 1.22 m) ≈ 11.6 m/s
Therefore, the block's speed after it has traveled 2.0 m up the inclined plane is approximately 11.6 m/s.
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The total initial momentum of a bat and ball is +80 kg•m/s before they collide. If the ball’s final momentum after the collision is +72 kg•m/s, determine the bat’s change in momentum. Express answer to 2 significant figures.
Answer: --------- kg m/s
The momentum of the van after the collision will be -9600 kg m/s.
What is momentum?Momentum is a concept in physics that is used to describe an object's resistance to changes in motion. It is based on the principle of inertia, which states that an object will remain in a state of rest or constant motion unless acted upon by an outside force. Momentum is calculated by multiplying the mass of an object by its velocity. Momentum is a vector quantity, meaning that it has both magnitude and direction. Momentum is also conserved, meaning that the total momentum of any closed system remains constant.
Momentum is a measure of an object's mass multiplied by its velocity. Before the collision, the momentum of the van was 9600 kg m/s (80kg x 72m/s). After the collision, both vehicles will be travelling in the opposite direction, meaning that the momentum of the van will be the same as before, but in the opposite direction. Therefore, the momentum of the van after the collision will be -9600 kg m/s. The change in momentum, or delta momentum, of the van after the collision is the difference between the before and after momentum, or 9600 kg m/s.
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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.
\(F(1.2)=600(0.7)\\\\F(1.2)=420\\\\Divide \ 1.2 \ to \ both \ sides\\\\F=420/1.2\\\\F= 350 \ N\\\\\rule[225]{225}{2}\)
Would you expect the two species to compete for food on this island? Support your answer with an explanation.
Explanation:
show me the paper so that way i can answer your question
Answer: the answer is 4
Explanation:
A uniform aluminum beam 9.00 m long, weighing 300 N, rests symmetrically on two supports 5.00 m apart (Fig. 11.25). A boy weighing 600 N starts at point A and walks toward the right. (a) In the same diagram construct two graphs showing the upward forces FA and FB exerted on the beam at points A and B, as functions of the coordinate x of the boy. Let 1 cm = 100 N vertically, and 1 cm = 1.00 m horizontally. (b) From your diagram, how far beyond point B can the boy walk before the beam tips? (c) How far from the right end of the beam should support B be placed so that the boy can walk just to the end of the beam without causing it to tip?
a) The uniform aluminum beam 9.00 m long, weighing 300 N, rests symmetrically on two supports 5.00 m apart. The boy weighing 600 N starts at point A and walks towards the right.
The beam will experience the weight of the boy in two places: at A and somewhere between A and B, depending on how far the boy walks.The upward forces FA and FB exerted on the beam at points A and B, respectively, as functions of the coordinate x of the boy are given in the following two graphs.b) The total force exerted by the boy when he reaches point B is FB + 600 N. The beam will start to tip if the total force's vertical line passes the left support, which carries 900 N vertically. Thus, we want the left and right vertical forces to be equal to avoid any tipping.900 N = FB + 600 N => FB = 300 N300 N = w = mg => m = 30.6 kg.Since the boy weighs 600 N, the load the beam carries is 900 N plus some variable force F(x). Therefore, to maintain equilibrium, the following force balance equation must be satisfied:F(x) = w + FA = 900 N + 600 N = 1500 NWhere FA is the upward force at A for a boy at position x. Since the beam is uniform, the following moment balance equation must be satisfied:900N/2 * 5m + (5m - x) * FA + (9m - 5m - x) * 1500N = (5m - x) * FB + 900N/2 * 5mSolving the above equation for FA and FB, we getFA = 3000 N - 300 N/x and FB = 900 N + 600 N - 300 N/x.(c) The boy will walk just to the end of the beam without tipping it if the vertical forces on the left and right sides of the beam are balanced. Thus, to maintain equilibrium, we have:FB + w = FA900 N + 600 N = FAFor the beam to remain balanced, FA must act at the beam's right end, as shown in the diagram below:We may now use moments to determine the distance between support B and the beam's right end. For the beam to remain balanced, the sum of moments about support A must be equal to zero:FB * 5m + w * (5m + x) = FA * 9mFB * 5m + 300 N * (5m + x) = 900 N + 600 N (from part b) * 9mFB = 300 N (1 + 2x/9)Thus, the distance between support B and the beam's right end is given by:5m + 9m - x - 5m = 9m - x = (5/3) m = 1.67 m.
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suppose that you wanted to reduce the resonant frequency of a mass and spring harmonic motion system, what could you do?
To reduce the resonant frequency of a mass, I would b)increase the mass .So, correct option is b.
A thunderous recurrence is the normal vibrating recurrence of an item and indicated as 'f' with an addendum zero (f 0). At the point when an item is in balance with acting powers and could continue to vibrate for quite a while under wonderful circumstances, this peculiarity is reverberation.
We know very well that resonant frequency of simple harmonic motion system is given by 2π√k/m where k is spring constant and m is the mass of the body,
Now, we can see that frequency is inversely proportional to mass and directly proportional to spring constant.
Now, on increasing the spring constant we can see that resonant frequency will also rise.
On increasing the mass of the body resonant frequency will decrease since resonant frequency is inversly proportional to mass.
Increasing the damping will not effect the resonant frequency since frequency does not depend on the material of the body.
Hence, option b is correct.
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(Complete question) is:
Suppose that you wanted to reduce the resonant frequency of a mass and spring harmonic motion system, what could you do?
a)increase the spring constant
b)increase the mass
c)decrease the spring constant
d)increase the damping.
PLZ HELP, GIVING BRAINLIEST!!
A student uses a 320 Hz tuning fork during a lab investigation into the speed of sound. If the air temperature in the classroom is 20 degrees Celsius, what is the wavelength of the sound waves produced by the tuning fork?
A. 1.07 m
B. 3.43 m
C. 0.933 m
D. 343 m
E. 343 m
Answer:343m
Explanation:
Rising and falling like a gentle waltz, the dandelion seeds _______.
Which phrase is most appropriate for the diction and style of the sentence?
A.
dropped heavily onto the wet ground
B.
fell and scattered across the lawn
C.
danced lightly on the cool breeze
D.
blew like a hurricane across the yard
B
Explanation:
yeah but I don't know what
arun gets a lift to school in his mothers car the traffic is heavy so the average speed for the journey is 40km/h how many minutes does it take arun to get to school
Answer:
Explanation:
Distance = speed *time
as per the question, THE average speed is 40Km/h
time1 = S/40,time2 = S/40
now , time1 +time2
s/40+s/40
The time taken for Arun's journey can be calculated by dividing the distance to his school by the average speed. Assuming the school is 20km away, at an average speed of 40km/h, it would take Arun 30 minutes to reach school.
Explanation:The question involves applying the concept of speed as being the distance traveled divided by the time it takes to get to the destination. To determine how long Arun's journey takes taking into account the average speed of 40km/h, we need to know the distance to school. However, if we assume the distance as 'd' kilometers, the time taken can be found by the formula: time = distance/speed
Let's say, for example, Arun’s school is 20 kilometers away. Using the formula time = distance/speed, we substitute the distance and speed into the formula: time = 20km / 40km/h = 0.5 hours. To convert this time into minutes, we multiply by 60 (since there are 60 minutes in an hour), which gives us 30 minutes. Therefore, if Arun’s school was 20 kilometers away, his journey would take him 30 minutes.
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4. A trolley of mass 2kg rests next to a trolley of mass 3 kg on a flat
bench as shown in the diagram. When the spring is released
between the trolley's, they pushed apart. The 2kg travels to left at a
velocity of 6m/s.
a. What is the total momentum of the trolleys before
separation?
b. What is the total momentum of the trolleys after
separation?
c. What is the momentum of of 2kg trolley after
separation
d. What is the momentum of 3kg trolley after separation?
e. What is the velocity of the 3kg trolley?
Answer:
a. The total momentum of the trolleys which are at rest before the separation is zero
b. The total momentum of the trolleys after separation is zero
c. The momentum of the 2 kg trolley after separation is 12 kg·m/s
d. The momentum of the 3 kg trolley is -12 kg·m/s
e. The velocity of the 3 kg trolley = -4 m/s
Explanation:
a. The total momentum of the trolleys which are at rest before the separation is zero
b. By the principle of the conservation of linear momentum, the total momentum of the trolleys after separation = The total momentum of the trolleys before separation = 0
c. The momentum of the 2 kg trolley after separation = Mass × Velocity = 2 kg × 6 m/s = 12 kg·m/s
d. Given that the total momentum of the trolleys after separation is zero, the momentum of the 3 kg trolley is equal and opposite to the momentum of the 2 kg trolley = -12 kg·m/s
e. The momentum of the 3 kg trolley = Mass of the 3 kg Trolley × Velocity of the 3 kg trolley
∴ The momentum of the 3 kg trolley = 3 kg × Velocity of the 3 kg trolley = -12 kg·m/s
The velocity of the 3 kg trolley = -12 kg·m/s/(3 kg) = -4 m/s
a-The total momentum of the trolleys before separation=0
b.The total momentum of the trolleys after separation=0
c. The momentum of 2kg trolley after separation=12kg-m/sec
d. The momentum of 3kg trolley after separation=-12kg-m/sec
e. The velocity of the 3kg trolley=4kg-m/sec
Given-
Trolley A with mass= 2kg
Trolly B with mass= 3kg
Velocity of trolly A =6m/sec
A- Total momentum of the trolleys before separation-
Here, in this problem both the trolleys are in the rest position hence the momentum of both trolleys = 0
B- Total momentum of the trolleys after separation-
We know that motion never changes in an isolated collection of objects,
hence the momentum of the trolleys before and after the separation=0
C- Momentum of the Trolley A (2kg)-
It is known that momentum= Mass x Velocity
\(P=m\times v\)
\(P=2\times 6\)
\(P=12\)
Hence, the momentum of the 2kg trolley is 12 kg-m/sec
D- Momentum of the Trolley B (3kg)-
As we know that motion never changes in an isolated collection of an object hence the total moment of after saparation = 0
hance the momentum of the trolley B will be equal and opposite to the momentum of trolley A=
\(P= -12\)
Momentum of trolley B (3kg) is -12kg-m/sec
E- The velocity of the 3kg trolley-
The momentum of trolley A= Momentum of trolley B
\(m_{b} v_{a} =m_{b} v_{a}\)
\(-2\times 6=3\times v_{a}\)
\(v_{a}=-4\)
The value of the velocity of the 3kg trolley is -4m/sec
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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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Freud believed that. Felt inferior to. And that they were more vulnerable to psychological disorders
Answer:
women... men
Explanation:
Answer:
c. women... men
Explanation:
edge 2021
energy loss happen when a filament bulb glow. Write a situation where this energy is used properly.
The use of energy for the purpose to boil water and warming the environment are the proper use of this lost energy.
How energy is properly utilized?The energy which is lost from the bulb is in the form of thermal energy. This thermal energy can be used to boil water or heating the surrounding environment so in this way the lost energy can be used properly.
So we can conclude that use of energy for the purpose to boil water and warming the environment are the proper use of this lost energy.
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29.In which of the following pictures is the average kinetic energy of molecules the highest?Select one:a. Ab. Bc. Cd. D
We will have that the picture that shows the highest average kinetic energy is image B.
You are preparing to attach wires in a 110 block. You want to connect the wires and trim off the excess at the same time
To connect the wires in a 110 block and trim off the excess at the same time, use a punch down tool with a notched blade and point the cut side of the tool towards the wire end.
A 110 block is used to terminate wiring in a cabling system. It is a type of punch down block. This block has a plastic base and have 50 slots for individual wires, meaning it can terminate 25 pairs.
A punch down tool is used insert wire into insulation displacement connectors present in punch down blocks such as 110 block and also in other electrical panels and modules.
Therefore, to connect the wires in a 110 block and trim off the excess at the same time, use a punch down tool with a notched blade and point the cut side of the tool towards the wire end.
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During an all-night cram session, a student heats up a 0.858 liter (0.858 x10 −3
m 3
) glass (Pyrex) beaker of cold coffee. Initially, the temperature is 18.2 ∘
C, and the beaker is filled to the brim. A short time later when the student returns, the temperature has risen to 90.6 ∘
C. The coefficient of volume expansion of coffee is the same as that of water. How much coffee (in cubic meters) has spilled out of the beaker?
approximately 2.093 x 10^(-6) cubic meters (or 2.093 milliliters) of coffee has spilled out of the beaker.To calculate the volume of coffee that has spilled out of the beaker, we can use the concept of thermal expansion. The change in volume is given by the formula ΔV = βVΔT, where β is the coefficient of volume expansion, V is the initial volume, and ΔT is the change in temperature.
First, let's convert the initial volume to cubic meters: V = 0.858 x 10^(-3) m^3.
Next, we calculate the change in temperature: ΔT = 90.6 - 18.2 = 72.4 °C.
The coefficient of volume expansion for water (and coffee) is approximately β = 3.4 x 10^(-4) °C^(-1).
Plugging in these values into the formula, we get:
ΔV = (3.4 x 10^(-4) °C^(-1)) * (0.858 x 10^(-3) m^3) * (72.4 °C) = 2.093 x 10^(-6) m^3.
Therefore, approximately 2.093 x 10^(-6) cubic meters (or 2.093 milliliters) of coffee has spilled out of the beaker.
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A student late to class goes 35 mph past a school, where the speed limit is 25 mph. (The rest of the trip is legal at 35 mph; the student was only speeding while passing the school.) The 25-mph zone is 150 yards long. How much time did the student save (in seconds) by speeding past the school, endangering pedestrians and risking an expensive fine and poor insurance rating?
The time that is saved by speeding past the school, endangering pedestrians and risking an expensive fine and poor insurance rating is 0.061 mins.
How much time did he save?We define the speed as the ratio of the distance to the time. We know that when a body is in motion, the distance of the object would change with time. The first thing that we need to do is to convert the distance to miles.
Given that
1 yard = 5.7 * 10^-4 miles
150 yards = 150 yards * 5.7 * 10^-4 miles/ 1 yard
= 0.0855 miles
Thus;
Speed = distance/time
If he drives at the 35 mph speed;
Time taken = 0.0855 miles/35 mph
= 0.0024 hours or 0.144 mins
If he drives at the 25 mph speed
Time taken = 0.0855 miles/25 mph
= 0.00342 hours or 0.205 mins
Time saved = 0.205 mins - 0.144 mins = 0.061 mins
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What is the acceleration of a vehicle that changes its velocity from 100 km/h to a dead stop in 30 s ? Answer in units of m/s 2 .
Answer:
a = \(-\frac{25}{27}\) m/s²
Explanation:
Acceleration (a) = (final velocity - initial velocity) ÷ (final time - initial time) = \(\frac{v_{f} - v_{i} }{t_{f} - t_{i} }\)
Converting the speed from km/h to m/s;
100 km = 100000m
1hr = 3600s
∴ 100km/hr ⇄ \(\frac{100000 m}{3600 s}\) = \(\frac{250}{9} m/s\)
Acceleration = \(\frac{0 - 250/9}{30}\) = \(-\frac{250}{9 * 30} = -\frac{25}{27}\) m/s²
i.e deceleration = \(\frac{25}{27}\) m/s²
how was mugabe able to build power and what type of power base
is he
Mugabe gained power by using political strategies, forming alliances, and exploiting his status as a liberation hero within ZANU-PF.
Robert Mugabe, the former president of Zimbabwe, was able to build power through a combination of political strategies and alliances. One key factor was his involvement in the liberation struggle against white minority rule in Rhodesia (now Zimbabwe).
Mugabe emerged as a prominent figure within the Zimbabwe African National Union (ZANU) party, which later merged with the Zimbabwe African People's Union (ZAPU) to form the Zimbabwe African National Union - Patriotic Front (ZANU-PF). Mugabe's role as a liberation hero and his ability to mobilize support among the majority black population of Zimbabwe gave him a strong power base.
Within ZANU-PF, Mugabe strategically positioned himself and gained influence by forming alliances and outmaneuvering rivals. He rose to become the party's leader and played a key role in negotiating the Lancaster House Agreement in 1979, which paved the way for Zimbabwe's independence in 1980. Mugabe became the country's first prime minister and later transformed the position into an executive presidency, consolidating his authority.
Mugabe maintained power through various means, including controlling key institutions such as the military, intelligence agencies, and the ruling party. He also utilized patronage networks, distributing resources and positions to loyal supporters within the party and government. Mugabe's policies, such as the controversial land reform program, further solidified his power base by appealing to nationalist sentiments and redistributing land from white farmers to black Zimbabweans.
However, Mugabe's consolidation of power was also marked by authoritarianism, human rights abuses, and a declining economy. His grip on power faced challenges over the years, including opposition movements, internal party factions, and economic crises. Ultimately, his rule came to an end in 2017 when he was ousted from power following a military intervention.
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A person is standing on a raft; their
combined mass is 233 kg. What is the
volume of water displaced by the raft?
[?] m3
Pwater = 1,000 kg/m3
Answer:
The volume of water displaced by the raft is 0.233 m³
Explanation:
The question relates to Archimedes' principle which states that the buoyant force experienced by an object immersed in a fluid is equal to the weight of (the force of gravity on) the displaced fluid
The given parameters are;
The combined mass of the person and the raft, m = 233 kg
The liquid on which the raft is located = Water
The density of water, \(\rho _{water}\) = 1000 kg/m³
Weight = Mass, m × g
Where;
m = The mass of the object
g = The acceleration due to gravity = 9.8 m/s²
Given that the raft is on the surface of the water (floating), the buoyant force is equal to the combined weight of the person and the raft = 233 kg
The combined weight of the person and the raft, \(W_{combined}\) = 233 kg × 9.8 m/s² = 2,283.4 N
Therefore;
The buoyant force = 2,283.4 N = The weight of the water displaced
The mass of the water displaced, \(m_{water}\), = 2,283.4 N/(9.8 m/s²) = 233 kg
Density = Mass/Volume
The volume of water displaced by the raft = The mass of the water displaced/(The density of the water) = 233 kg/(1,000 kg/m³) = 0.233 m³.
Answer:
the volume displaced by the raft = 0.233 m3
Explanation:
correct for Acellus