The equation is a nonlinear equation with a mix of t and v terms.
To find how long the rocket must fire before the sled travels 2000 meters, we need to solve the given equation of motion: 6v˙ = 2700 - 24v. Since the sled starts from rest, its initial velocity (v0) is 0.
First, we need to find the velocity as a function of time. Divide both sides of the equation by 6:
v˙ = (2700 - 24v) / 6
Integrate both sides with respect to time (t):
∫v˙ dt = ∫(450 - 4v) dt
v(t) = 450t - 2v^2 + C
Since the sled starts from rest, when t = 0, v(0) = 0. This allows us to find the constant C:
0 = 450(0) - 2(0)^2 + C
C = 0
So, the velocity equation becomes:
v(t) = 450t - 2v^2
Now, we need to find the position equation by integrating the velocity equation:
∫(450t - 2v^2) dt = ∫(450t - 2(450t - 2v^2)^2) dt
s(t) = 225t^2 - (2/3)v^3 + D
Since the sled starts from rest and has not yet moved, when t = 0, s(0) = 0, which allows us to find the constant D:
0 = 225(0)^2 - (2/3)(0)^3 + D
D = 0
So, the position equation becomes:
s(t) = 225t^2 - (2/3)v^3
We need to find the time t when s(t) = 2000:
2000 = 225t^2 - (2/3)v^3
This equation is a nonlinear equation with a mix of t and v terms. Unfortunately, it does not have an analytical solution, so it would need to be solved using numerical methods such as the Newton-Raphson method or by using a software or calculator with numerical equation-solving capabilities.
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Write one use of magnetic force and frictional force
Answer:
1.Magnetic Force - Used in cranes to separate metal junk from junkyards.
2.Frictional Force- Helps us to walk.
Choose the appropriate descriptor for the term square centimeter .
A. mass
B. length
C. volume
D. area
2. Write five honest ways of earning money.?
Answer:
Get Hired
Start a business
rent out your house
Sell online
Take surveys
Explanation:
Answer:
1 can be working with a family member and helping them with their work and earning money from that.
2 getting a job that fits your age limit.
3 doing chores around your home.
4 babysitting your siblings or family member and charging a decent fair price.
5 helping with pets or helping around outside
Explanation:
an object is placed at dist 25cm in front of concave mirror and image has magnification of -2 .find focal length
Answer:
Given,
Object distance, u=25cm
Focal length, f=20cm
From mirror formula
f
1
=
v
1
+
u
1
−20
1
=
v
1
−
25
1
⇒
v
1
=−
20
1
+
25
1
v=100cm
The image will be real, inverted magnified
Explanation:
Given,
Object distance, u=25cm
Focal length, f=20cm
From mirror formula
f
1
=
v
1
+
u
1
−20
1
=
v
1
−
25
1
⇒
v
1
=−
20
1
+
25
1
v=100cm
The image will be real, inverted magnified
A small rock passes a massive star, following the path shown in red on the diagram above. When the rock is a distance 2.5e+13 m (indicated as d1 on the diagram) from the center of the star, the magnitude of its momentum p1 is 1.15e+17 kg · m/s, and the angle α is 122 degrees. At a later time, when the rock is a distance d2 = 7.5e+12 m from the center of the star, it is heading in the -y direction. There are no other massive objects nearby. What is the momentum of the small rock at distance 2?
The momentum of the small rock at distance 2 is 1.08e+17 kg · m/s, in the -y direction.
What is momentum?
To solve this problem, we need to use the conservation of momentum. Since there are no other massive objects nearby, the total momentum of the system (rock + star) must be conserved.
At the first distance d1, the momentum of the rock can be split into two components: one in the x direction and one in the y direction. Using the angle α = 122 degrees, we can calculate the x and y components of the momentum:
p1x = p1 * cos(α) = 1.15e+17 kg · m/s * cos(122°) = -3.97e+16 kg · m/s
p1y = p1 * sin(α) = 1.15e+17 kg · m/s * sin(122°) = 1.08e+17 kg · m/s
Since there are no external forces acting on the system, the momentum in the x direction and the momentum in the y direction must be conserved separately. However, since the path of the rock is not given, we cannot assume that the momentum in the x direction is conserved. Therefore, we need to calculate the new momentum of the rock in the y direction at distance d2.
To do this, we can use the conservation of momentum in the y direction:
p1y = p2y
where p2y is the momentum of the rock in the y direction at distance d2.
We can rearrange this equation to solve for p2y:
p2y = p1y = 1.08e+17 kg · m/s
Therefore, the momentum of the small rock at distance 2 is 1.08e+17 kg · m/s, in the -y direction.
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Two masses, 3.00 kg and 5.00 kg are connected by a string of negligible mass that passes over a frictionless, massless pulley. (The masses hang on opposite sides of the pulley.) Calculate the tension in the string. Calculate the acceleration of each mass. Calculate the distance each mass will move in the first second of motion.
The tension in the string is 25 N. The acceleration of each mass is 5 m/s².The distance each mass will move in the first second of motion is 2.5 m.
we can use Newton's second law of motion, solve the problem.
First, let's calculate the tension in the string. Since the pulley is frictionless and massless, the tension in the string will be the same on both sides.
Let's assume that the 3.00 kg mass is on the left side and the 5.00 kg mass is on the right side.
For the 3.00 kg mass:
The weight of the mass is given by the formula:
Weight = mass * acceleration
Weight = 3.00 kg * 9.8 m/s² (acceleration due to gravity)
Weight = 29.4 N
Since the mass is in equilibrium, the tension T is equal to the weight:
T = 29.4 N
For the 5.00 kg mass:
The weight of the mass is:
Weight = 5.00 kg * 9.8 m/s²
Weight = 49 N
Again, since the mass is in equilibrium, the tension T is equal to the weight:
T = 49 N
The tension in the string is 25 N on both sides.
To calculate the acceleration of each mass, we can use the concept of the net force. The net force is the difference between the two tensions.
Net force = T(left) - T(right)
Net force = 25 N - 25 N
Net force = 0 N
Since the net force is zero, the acceleration of each mass is also zero. This means that the masses will not accelerate and will remain stationary.
As the masses are not accelerating, they will not move in the first second of motion. Therefore, the distance each mass will move in the first second is 0 meters.
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4. A 20 N force pushes a cart. That cart accelerates at a rate of 10 m/s/s. What will the acceleration of the
cart be if the FORCE is doubled?
a) 40 m/s/s
I
b) 20 m/s/s
c) 10 m/s/s
d) 5 m/s/s
A grapefruit has a weight on Earth of 4.9 newtons. What is the grapefruit’s mass?
Answer:
0.5 kg
Explanation:
W = mg
4.9 = m(9.8)
4.9 = 9.8m
4.9/9.8 = m
m = 0.5 kg
Show how to balance 3 masses hanging from a force table. (There is not a fourth mass to add). The masses are 3 kg, 4 kg, and 6 kg. You need to indicate the angles between the strings that will cause all of the masses to be all be in equilibrium.
Assuming the force table is set up so that the masses are placed at the vertices of an equilateral triangle, the angles between the strings should be 60 degrees.
How to balance 3 masses hanging from a force table?This will cause all of the masses to be in equilibrium.The angles between the strings can be calculated using the following formula:Angle = arccos ((m1*m2) / (m3*(m1+m2))) For this problem, the angles between the strings will be:Angle 1 = arccos ((3*4) / (6*(3+4))) = arccos (0.8) = 61.93° Angle 2 = arccos ((3*6) / (4*(3+6))) = arccos (0.75) = 56.31°Angle 3 = 180° - (Angle 1 + Angle 2) = 180° - (61.93° + 56.31°) = 61.76°Assuming the force table has four support points, the three masses can be balanced by adjusting the angles between the strings. To do this, the three masses must be arranged as far as possible from one another, with the 3 kg mass in the center and the other two masses, 4 kg and 6 kg, on the outside. To begin, the 4 kg mass should be suspended to the left of the 3 kg mass, and the 6 kg mass should be suspended to the right. The angle between the strings should be adjusted so that the 4 kg mass is suspended at an angle of 25 degrees, and the 6 kg mass is suspended at an angle of 155 degrees. This will ensure that the three masses are balanced, with the force exerted by the 4 kg mass equal to the force exerted by the 6 kg mass. To achieve equilibrium, the 3 kg mass should be suspended at an angle of 90 degrees from the 4 kg mass, and the 6 kg mass should be suspended at an angle of 90 degrees from the 3 kg mass. This will ensure that the forces acting on the 3 kg mass are equal, and the forces acting on the 4 kg and 6 kg masses are equal. This will result in a balanced system.To learn more about the force table refer to:
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A 1 kg block sliding to the right on a level, frictionless surface with a speed
of 2 m/s collides and sticks to a second 1 kg block sliding to the left. after
the collision, the blocks are motionless. what was the speed of the second
1 kg block before the collision?
Answer:
2m.s¹ left
Explanation:
( Mblock1 x V initial ) + (Mblock2 x V initial) = ( M1 +M2)×0
(1×2) + (1× V initial) = 0
V initial = -2
* I consider right as positive(+)*
Question 8
2 pts
The brain stem is the part of the brain that maintains balance and motor coordination.
O True
False
Answer:
Its true
Explanation:
i don't know what to put
Which choice below explains what is happening in a liquid as it turns into a gas?
a. The particles speed up and spread apart
b. The particles speed up and come closer together
c. The particles slow down and spread apart
d. The particles slow down and come closer together
Answer:
a
Explanation:
As you add thermal energy the particles spread apart and are moving faster ..... a certain volume of water produces a much larger volume of steam as energy is added.....that is how steam engines work !
A 0.045-kg golf ball is dropped from rest. Is dropped from a height of 1.3m and comes back up at a height of .7m
The time to drop from 1.3m and velocity after height at 0.7 mis mathematically given as
t1 = 0.515 sec
v0 = 3.7m/s
What is the time to drop from 1.3m and velocity after height at 0.7?Question Parameters:
A 0.045-kg golf ball is dropped from rest.
Is dropped from a height of 1.3m and comes back up at a height of .7m
Generally, the equation for the time to drop from 1.3m is mathematically given as
yf - yi = vi t + a t^2/ 2
Therefore
0 - 1.3 = 0 - 9.8 t^2 /2
t1 = 0.515 sec
Hence, after its max height is 0.7 m,
vf^2 - vi^2 = 2 a (yf - yi)
0^2 - (v0)^2 = 2(-9.8)(0.7 - 0)
v0 = 3.7m/s
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help plsss
can someone explain me what l means? in this pic?
tysm
Answer:
pie
Explanation:
pie
why isn't the sun shrinking or expanding at present
Answer:
The sun is not shrinking or expanding at present because it is in a state of equilibrium, meaning that the forces that govern its size and temperature are balanced. The sun's immense gravity pulls inwards, while the heat generated by nuclear fusion pushes outwards, and these forces are perfectly balanced, maintaining the sun's current size and temperature. Although the sun is constantly losing mass through its solar wind, this loss is minimal and does not significantly affect the sun's size or stability. Therefore, the sun will remain in this equilibrium state for millions of years until it exhausts its nuclear fuel and enters the next phase of its life cycle.
Hope it helps! : )Examine the Porter's 5 forces and explain how the forces are interconnected? Use examples to explain your answers. No less than 100 words
Porter's Five Forces is a framework used to analyze the competitive intensity and attractiveness of an industry. The five forces are: Threat of New Entrants, Bargaining Power of Suppliers, Bargaining Power of Buyers, Threat of Substitute Products or Services and Intensity of Competitive Rivalry.
Threat of New Entrants: This force considers the ease or difficulty for new competitors to enter an industry. It includes barriers to entry such as high capital requirements, economies of scale, brand loyalty, and government regulations.
Example: The airline industry is known for its high barriers to entry due to the significant capital required to purchase aircraft, establish routes, and secure necessary licenses and permits. Additionally, established airlines often have loyal customer bases and strong brand recognition, making it challenging for new entrants to compete effectively.
Bargaining Power of Suppliers: This force assesses the power suppliers have over the industry in terms of pricing, quality, and availability of inputs. It considers factors such as the concentration of suppliers, uniqueness of their products, and their ability to forward integrate.
Example: In the smartphone industry, major suppliers of components like microchips and display screens hold significant bargaining power. These suppliers provide essential inputs, and their products may have limited alternatives or require specialized manufacturing processes. As a result, smartphone manufacturers must negotiate favorable terms with these suppliers to ensure a reliable supply chain and competitive pricing.
Bargaining Power of Buyers: This force examines the power customers have in influencing prices, demanding better quality or service, and potentially switching to alternative products or suppliers. It considers factors such as buyer concentration, product differentiation, and switching costs.
Example: The retail industry experiences strong buyer power, particularly in highly competitive markets. Customers have access to various options, and their ability to compare prices and products easily through online platforms empowers them to demand competitive pricing, promotions, and high-quality products and services.
Threat of Substitute Products or Services: This force looks at the availability of alternative products or services that can satisfy customer needs. It considers factors such as price-performance trade-offs, switching costs, and customer loyalty.
Example: The rise of streaming services such as Netflix, Amazon Prime Video, and Hulu posed a significant threat to traditional cable and satellite TV providers. These streaming platforms offer a wide range of content at competitive prices, allowing customers to switch from traditional TV services to streaming options, resulting in a decline in subscriber numbers for traditional providers.
Intensity of Competitive Rivalry: This force evaluates the level of competition among existing firms in the industry. It considers factors such as the number and size of competitors, industry growth rate, product differentiation, and exit barriers.
Example: The soft drink industry, dominated by major players like Coca-Cola and PepsiCo, experiences intense competitive rivalry. These companies fiercely compete for market share through advertising campaigns, new product launches, pricing strategies, and distribution channels. The rivalry is further intensified by the high market saturation and the limited scope for differentiation among similar products.
The interconnection of these forces lies in their collective influence on the competitive dynamics and profitability of an industry. Changes in one force can trigger a chain reaction that impacts the others. For instance, a high threat of new entrants may lead to increased competitive rivalry as existing firms strive to defend their market share. Similarly, a strong bargaining power of buyers can limit the pricing power of suppliers and impact their profitability. Understanding these interconnections helps businesses assess the overall attractiveness and competitive landscape of an industry and develop appropriate strategies to thrive within it.
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A faulty model rocket moves in the xy-plane (the positive y-direction is vertically upward). The rocket's acceleration has components ax(t)=αt2
and ay(t)=β−γt
, where α
= 2. 50 m/s4
, β
= 9. 00 m/s2
, and γ
= 1. 40 m/s3. At t=0
the rocket is at the origin and has velocity v⃗ 0=v0xi^+v0yj^
with v0x
= 1. 00 m/s
and v0y
= 7. 00 m/s
A bar of gold has a temperature of 22°C, and a bar of aluminum has a
temperature of 27°C. Which statement explains why the bar of aluminum ha
a higher temperature?
A. The particles that make up the aluminum bar are moving more
slowly.
B. The particles that make up the aluminum bar are moving faster.
C. The aluminum bar has a lower density than that of the gold bar.
O D. The aluminum bar has less thermal energy.
The bar of aluminum has a higher temperature than gold bar as the particles that make up the aluminum bar are moving faster.
What is temperature?Temperature is a physical quantity that expresses hot and cold or a measure of the average kinetic energy of the atoms or molecules in the system.
What is thermal conductivity?Thermal conductivity is the rate at which heat is transferred by conduction through a unit cross-section area of a material, when a temperature gradient exits perpendicular to the area.
What are properties of aluminum?Aluminum has low density. It has high thermal conductivity, has excellent resistance for corrosion and can be easily cast, machined and formed.
What are properties of Gold?Gold has high corrosion resistance. It is good conductor of electricity.
Aluminum has high thermal conductivity than gold. So, the particles in the aluminum bar moves faster as compared to gold. Therefore, the temperature of aluminum bar is higher than gold bar.
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Answer: 3 years ago thats crazy
Explanation:
The hall voltage is the potential created across a current-carrying metal-strip when the strip is placed in a magnetic field perpendicular to the current flow in the strip. it is used as a research tool to probe the movement of charges in materials, as well as determining the blood flow rate. one fundamental use of the hall effect is the determination of the charge of the charge carriers. what of the following statements is true concerning the strips with a positive versus a negative hall voltage?
a) the top strip has positive charge carriers, and the electric field points in the same direction as the electric force.
b) the bottom strip has positive charge carriers, and the electric field and electric force point in the same direction.
c) the top strip has negative charge carriers, which get deflected to the top of the plate.
d) the bottom strip has negative charge carriers, and the magnetic force points upward along the plate.
The statements true concerning the strips with a positive versus a negative hall voltage are a and d.
What is hall voltage?
The hall voltage is the potential created across a current-carrying metal-strip when the strip is placed in a magnetic field perpendicular to the current flow in the strip. it is used as a research tool to probe the movement of charges in materials, as well as determining the blood flow rate.
The top strip possess positive charge carriers, and the electric field points are in the same direction as the electric force.
The bottom strip has negative charge carriers, and the magnetic force points upward along the plate.
This will create an equilibrium of the magnetic force and electrostatic force.
Thus, the correct option are a and d.
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A reaction has a standard free‑energy change of −12.50 kJ mol−1(−2.988 kcal mol−1). Calculate the equilibrium constant for the reaction at 25 °C.
Keeq=
The equilibrium constant (Keeq) for a reaction at 25 °C can be calculated using the equation Keeq = e^(−ΔG°/RT)
How can the equilibrium constant (Keeq) be calculated from the standard free-energy change (ΔG°)?The equilibrium constant (Keeq) for a chemical reaction can be calculated using the equation Keeq = e^(−ΔG°/RT), where ΔG° represents the standard free-energy change, R is the gas constant, and T is the temperature in Kelvin.
In this case, the given standard free-energy change is −12.50 kJ mol−1 (−2.988 kcal mol−1). To calculate the equilibrium constant at 25 °C, we need to convert the temperature to Kelvin by adding 273.15 (25 °C + 273.15 = 298.15 K). Then, we substitute the values into the equation to find the equilibrium constant.
Keeq = e^(−12.50 kJ mol−1 / (8.314 J K−1 mol−1 × 298.15 K))
By evaluating the expression, we can determine the equilibrium constant (Keeq) for the given reaction at 25 °C.
The relationship between standard free-energy change and equilibrium constant in chemical reactions to understand the thermodynamic aspects of chemical equilibria
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Guys I'm in kind of PICKLE!!!!!! I know people say it a lot but I will give Brainiest to the best explained answer. Determine the net force charge acting at q1 (+ 2.0 × 10-5C), caused by q2 (-4.0 × 10-5 C) and q3 (-4.0 × 10-5 Determine the net electric field acting at q1
Answer:
a) Fnet = 176.78N
b) Enet = 88.39 × 10⁵N/C
Explanation:
Figure 5 shows a ray of light in an optical fibre.
Figure 5
Inside of optical fibre
What is the name given to the dotted line on Figure 5?
[1 mark]
The technology that sends information as light pulses via a glass or plastic fiber is known as fiber optics, or optical fiber. These glass fibers can range in quantity from a few to several hundred in a fiber optic cable. The glass fiber core is encircled by yet another glass layer known as cladding.
What fiber optics does and how it works?In fiber optics, data is sent as pulses of light, or photons, that travel over a fiber optic cable. Incoming light is bent at a specific angle due to the differing refractive indices of the glass fiber core and cladding.
Total internal reflection is the method by which light signals traveling through fiber optic cable bounce off the core and cladding in a series of zigzag motions. Due to the thick glass layers, the light signals move around 30% slower than the speed of light instead of at the speed of light.
Fiber optic transmission sometimes needs repeaters at a distance to renew, or amplify, the signal throughout its path. By converting the optical signal to an electrical signal, processing that electrical signal, and then retransmitting the optical signal, these repeaters regenerate the optical signal.
Up to 10 Gbps transmissions can currently be supported by fiber optic connections. A fiber optic cable often gets more expensive as its bandwidth capacity increases.
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Why would it be difficult to experimentally calculate the speed of sound in the classroom with a stopwatch and meter stick?
Answer:
Sound travels quite fast and sound wave must pass through a medium, such as air.
To measure a sound in classroom you will require to measure the time it takes a sound to travel a measured distance using stopwatch and meter stick but it would be difficult because walls of classroom will create echos echos.
Echos are reflections of sounds which causes timing errors and make difficult to meausre the speed of sound.
about conserving and protecting our coral reefs. 3. Punch a hole and put ribbon or string on it. Rubrics will serve as your guide in creating your bookmark. (SAMPLE BELOW) Protect Keep it our clean! Corals! de Questions: 1. What was your awareness message all about in your bookmark? 5. Do you believe there is a need to protect our coral reefs after doing this activity? Why? The Tubbataha Reef in Palawan is our country's pride. It is one of UNESCO World Heritage Sites. What would you suggest our government do to protect this?
The above question requires a personal answer about your perception of corals, environmental conservation, and the activity you did in the classroom. In that case, I can't answer your question, but I'll show you how to answer it.
Please consider the following information to answer your questions:
The awareness message about corals refers to their preservation, due to their environmental and economic importance.After doing your activity you should be able to understand the importance of preserving corals. That's because they are important for fish spawning and habitat, blocking wave erosion, and protecting coastal communities.To protect coral reefs, the government must map reef areas, reduce marine pollution, monitor fish exploitation, protect coral areas and encourage environmental education and awareness of nature conservation.In summary, coral reefs must be protected so that the natural marine balance is maintained.
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A person takes a ride to the top of a building in an elevator. If the elevator starts with
electrical energy, what types of energy does the electrical energy transform into during
this process? Put at least four answers.
Answer:
mechanical energy
Explanation:
As a strong hurricane moves ashore, which of the following causes the most devastatingddamage in the coastal zone?
A) storm surge
B) strong winds
C) torrential rains
D) lightning
A) Storm surge causes the most devastating damage in the coastal zone during a strong hurricane.
Storm surge refers to the abnormal rise of water levels along the coast caused by a combination of low atmospheric pressure and strong onshore winds associated with a hurricane. It results in the flooding of coastal areas, including low-lying regions and inland waterways. The surge of water can cause widespread destruction to infrastructure, homes, and natural habitats, leading to loss of life and severe property damage. The force and volume of water carried by the storm surge can overwhelm coastal defenses, erode beaches, and inundate inland areas.
While strong winds, torrential rains, and lightning are all significant factors during a hurricane, storm surge is typically the most destructive element in the coastal zone due to its ability to cause widespread and severe flooding.
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A little green moon person stands by the rim of a crater on the Moon, where
the freefall acceleration is 1.62 m/s2 and there is no air resistance. The crater
has vertical walls. To determine the depth of the crater, she drops a rock and
measures the time it takes for it to hit the bottom. If the depth of the crater is
120 m, after what time interval will the rock hit the floor of the crater?
Answer:
Time:
t = 12 s
Explanation:
Given:
g = 1.62 m/s
H = 120 m
V₀ =0 m/s
__________
t - ?
From the formula:
H = V₀·t + g·t² / 2
H = g·t² / 2
we find the time:
t = √ (2·H / g)
t = √ (2·120 / 1.62) ≈ 12 c
formula for load distance
What happens to the volume of a fixed amount of gas if both the pressure and the absolute temperature are doubled
Answer: no change in volume
Explanation:
Which family in the periodic table has elements that are silvery and lustrous?
Alkali metals
Halogens
Noble gases
Nonmetals
Answer:
the answer is Transitional metals
Explanation:
they are hard and have a high density
The answer is;
(A) Akali Metals
Hope this helped.