When it reaches a velocity of 32 m/s, it is 571.2m high above the ground.
What does velocity refer to?
Velocity is the direction speed of an item in motion as a measure of the rate at which its location is changing as seen from a certain point of view and as measured by a specific unit of time.
The movement of an object that has been launched into the air is known as projectile motion. Only gravity is felt by the item after the initial force that launches it. Projectile and trajectory both refer to the same thing: an object.
Given
Initial velocity ,u = 84m/s
Final velocity, v = 32m/s
Gravity ,g = -10m/s (upward motion, against gravity )
We know, v = u + gt
32 = 84 -10t
10t = 84-32
t = 5.2 s
Now using, s = ut +1/2 gt^2
s = [84*5.2] +1/2[10*5.2^2]
s = 436 + 135.2
s = 571.2m
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A student constructs four electric circuits.
Each circuit includes two bulbs and an ammeter.
All the bulbs, all the cells and all the ammeters are identical.
The ammeter readings for the first two circuits are shown.
Use values from the box to complete the ammeter readings for the other two circuits.
Answer:
Part A
The ammeter reading for the current flowing through the second bulb, in the third circuit is 0.43 A
Part B
The ammeter reading for the total current coming from the cell is 0.86 A
Explanation:
The given electric circuit schematics includes;
The number of bulbs in each circuit = 2 bulbs
The number of ammeter in each circuit = 1 ammeter
The number of cells in each circuit = 1
Each circuit have identical bulbs, cells and ammeters
Part A
Ammeter reading for the third circuit
The given reading for the total current going to the cell, [tex]I_T[/tex] = 0.86 A
The reading for the current flowing through one of the bulbs, I₁ = 0.43 A
Therefore, given that the bulbs are arranged in parallel, and the bulbs have identical resistance, 'R', the current flowing in the second bulb, I₂, is given by the current divider rule as follows;
[tex]I_2 = \dfrac{R}{R + R} \times I_T = \dfrac{R}{2 \cdot R} \times I_T = \dfrac{1}{2} \times I_T[/tex]
∴ The ammeter reading for the current flowing through the second bulb, in the third circuit I₂ = (1/2) × (0.86 A) = 0.43 A
Part B
Ammeter reading for the third circuit
The total current coming from the cell = The current passing through the bulbs = I₁ + I₂
The ammeter reading for the total current coming from the cell = 0.43 A + 0.43 A = 0.86 A = [tex]I_T[/tex]
A horizontal platform in the shape of a circular disk rotates on a frictionless bearing about a vertical axle through the center of the disk. The platform has a mass of 150 kg, a radius of 2.0 m, and a rotational inertia of 300 kg·m2 about the axis of rotation. A 60 kg student walks slowly from the rim of the platform toward the center. If the angular speed of the system is 1.4 rad/s when the student starts at the rim, what is the angular speed when she is 0.70 m from the center?
Answer: [tex]2.29\ rad/s[/tex]
Explanation:
Given
Mass of Platform M=150 kg
the radius of Platform R=2 m
Moment of inertia of Platform [tex]I=300\ kg.m^2[/tex]
Mass of student [tex]m=60\ kg[/tex]
The initial angular speed of the student is [tex]\omega _1=1.4\ rad/s[/tex]
Initially, the moment of inertia of platform and student is
[tex]I_1=\dfrac{1}{2}MR^2+mR^2\\\\I_1=300+60\times 4=540\ kg.m^2[/tex]
The final moment of inertia
[tex]I_2=\dfrac{1}{2}MR^2+mr^2\\\\I_2=300+60\times 0.7^2=329.4\ kg.m^2[/tex]
Conserving angular momentum
[tex]I_1\omega_1=I_2\omega _2\\\\540\times 1.4=329.4\times \omega_2\\\\\omega_2=\dfrac{756}{329.4}=2.29\ rad/s[/tex]
What is the velocity of a 65 kg runner with 90 kg m/s of momentum.
Answer:
[tex]\boxed {\boxed {\sf v \approx 1.46 \ m/s}}[/tex]
Explanation:
Momentum is the product of mass and velocity.
[tex]p=mv[/tex]
We know the mass is 65 kilograms and the momentum is 90 kilograms meters per second.
[tex]m= 65 \ kg \\p= 95 \ kg \ m/s[/tex]
Substitute the values into the formula.
[tex]95 \ kg \ m/s= 65 \ kg *v[/tex]
Since we are solving for velocity, we must isolate the variable (v). It is being multiplied by 65 kg. The inverse of multiplication is division, so we divide.
[tex]\frac {95 \ kg \ m/s}{65 \ kg }= \frac {65 \ kg *v}{65 \ kg}[/tex]
[tex]\frac {95 \ kg \ m/s}{65 \ kg }=v[/tex]
The kilograms cancel when divided.
[tex]1.46153846 \ m/s=v[/tex]
Let's round to the nearest hundredth. The 1 (in the thousandth place) tells us to leave the 6.
[tex]1.46 \ m/s \approx v[/tex]
The velocity is approximately 1.46 meters per second.
!Necesito ayuda:Un movil parte del reposo y en 5seg adquiere una rapidez de 12m/seg.Calcular la distancia recorrida.
Answer:
Distancia = 60 metros
Explanation:
Dados los siguientes datos;
Velocidad inicial = 0 m/s (ya que comienza desde el reposo)
Velocidad final = 12 m/s
Por lo tanto, velocidad total = velocidad inicial + velocidad final
Velocidad total = 0 + 12 = 12 m/s
Tiempo = 5 segundos
Para encontrar la distancia recorrida;
Distancia = velocidad total * tiempo
Sustituyendo en la fórmula, tenemos;
Distancia = 12 * 5
Distancia = 60 metros
Two coins lie 1.5 meters apart on a table. They carry identical electric charges. Approximately how
large is the charge on each coin if each coin experiences a force of 2.0 N
The charge on each coin is equal to [tex]2.50 \times 10^{-10}\;Coulomb[/tex]
Given the following data:
Force = 2.0 NewtonRadius = 1.5 metersTo determine the charge on each coin, we would apply the law of electrostatic forces:
Mathematically, the law of electrostatic forces is given by the formula:
[tex]F = \frac{kq_1q_2}{r^2}[/tex]
Note: [tex]q_1 = q_2[/tex] (since the coin carry identical electric charges).
Therefore, the formula becomes:
[tex]F = \frac{k(2q)}{r^2}[/tex]
Making q the subject of formula, we have:
[tex]q=\frac{Fr^2}{2k}[/tex]
Substituting the given parameters into the formula, we have;
[tex]q=\frac{2 \times 1.5^2}{2 \times 8.99 \times 10^9}\\\\q=\frac{2 \times 2.25}{2 \times 8.99 \times 10^9}\\\\q=\frac{4.5}{17.98 \times 10^9}\\\\q=2.50 \times 10^{-10}\;Coulomb[/tex]
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A uniform plank of mass 10kg and length 10m rests on two supports, A and B as shown. A boy of weight 500N stands at a distance of 2m from A. Find the reaction forces U¹ and U² at the supports A and B respectively
Answer:
U² = 142.86 N
U¹ = 357.14 N
Explanation:
Taking summation of the moment about point A, we get the following equilibrium equation: (taking clockwise direction as positive)
[tex]W(2\ m) - U^2(7\ m) = 0[/tex]
where,
W = weight of boy = 500 N
U² = reaction ay B = ?
Therefore,
[tex](500\ N)(2\ m)-(U^2)(7\ m)=0\\U^2=\frac{1000\ Nm}{7\ m}\\[/tex]
U² = 142.86 N
Now, taking summation of forces on the plank. Taking upward direction as positive, for equilibrium position:
[tex]W-U^1-U^2=0\\500\ N - 142.86\ N = U^1\\[/tex]
U¹ = 357.14 N
State the relationship between the mass of trolley and acceleration of the trolley?
Answer: The complementary relationship indicated by the Newton's second law...
For a given applied force the acceleration of the trolley is inversely proportional to it's mass.
How tightly packed molecules (particles) are packed in a solid, liquid or gas is the
weight
volume
density
Answer:
I believe it's the weight
Explanation:
A car increases from 15 km/s to 45 km/s in 5 seconds. Calculate the average acceleration of the car during these 5 seconds. (2 points) A. 6 km/s2 B. 12 km/s2 C. 30 km/s2 D. 60 km/s2
A 100-watt lightbulb uses 1 kilowatt-hour of electrical
energy when it is on for ten hours. How much energy does
a 25-watt lightbulb use when it is on for ten hours?
Answer:
Energy = 0.25 kilowatt-hour
Explanation:
Given the following data;
Power = 25 Watts
Time = 10 hours
Power can be defined as the energy required to do work per unit time.
Mathematically, it is given by the formula;
[tex] Power = \frac {Energy}{time} [/tex]
To find the energy consumed;
Energy = power * time
Substituting into the formula, we have;
Energy = 25 * 10
Energy = 250 Watt-hour
To convert to kilowatt-hour, we would divide by 1000;
Energy = 250/1000
Energy = 0.25 kilowatt-hour
help please:))))))))))))))))))))
Answer:
a and c
Explanation:
An unnamed professor is walking to class when an office chair (travelling in the same direction) collides with them. The professor fails into the chair and remains in the chair after collision. The professor, with a mass of 113kg, is travelling at 1.56 m/s. The chair has a velocity of 6.5 m/s, and a mass of 10kg. After the collision, and ignoring any effects of professor falling, what would be the speed of the chair professor system
Answer: 1.96 m/s
Explanation:
Given
Mass of Professor [tex]m_1=113\ kg[/tex]
Velocity of professor [tex]u_1=1.56\ m/s[/tex]
mass of chair [tex]m_2=10\ kg[/tex]
velocity of chair [tex]u_2=6.5\ m/s[/tex]
Suppose after the collision, v is the common velocity
Conserving momentum
[tex]\Rightarrow m_1u_1+m_2u_2=(m_1+m_2)v\\\\\Rightarrow v=\dfrac{113\times 1.56+10\times 6.5}{113+10}=\dfrac{241.28}{123}\\\\\Rightarrow v=1.96\ m/s[/tex]
Explain why "selectively permeable" is a good way to describe a cel
membrane.
[tex] \huge \mathsf \blue{Question}[/tex]
Explain why "selectively permeable" is a good way to describe a cell membrane.
[tex] \huge \mathsf \blue {Answer}[/tex]
The plasma membrane is called a selectively permeable membrane as it permits the movement of only certain molecules in and out of the cells. Not all molecules are free to diffuse. If plasma membrane ruptures or breaks down then molecules of some substances will freely move in and out of the cells.
As the plasma membrane acts as a mechanical barrier, the exchange of material from its surroundings through osmosis or diffusion in a cell won’t take place. Consequently, the cell would die due to the disappearance of the protoplasmic material. It allows hydrophobic molecules and small polar molecules diffuse through the lipid layer, but does not allow ions and large polar molecules cannot diffuse through the membrane.
Select the correct answer. The Cretaceous-Paleogene was a mass extinction event in which nearly every single large, land-dwelling dinosaur went extinct. Which of the following did not result from this extinction event? A. Diverse species of animals began to evolve. B. Meteorites struck the region that Mexico now occupies. C. Clouds of dust and gas billowed into Earth’s atmosphere. D. Ecological niches were left empty but with the potential to be filled.
Answer:
d
Explanation:
because
Answer:
the answer is B. Meteorites struck the region that Mexico now occupies.
Explanation:
i got it right on plato
When 525 J of heat is added to 7.6 g of metal at 26°C, the temperature increases to 80°C. What is the specific heat of the metal?
Ans the answer is 0.25J
Explanation
i guess
Why is the magnetic force considered to be an action datance force
A Magnets in de bo exert a force
B. Magnets do not have to touch each other to experience a force.
C. Magnets push each other apan to increase the distance between them.
D Magnets mast be large in sire in onder to eden a force that is strong enough to notice
Which colour of light in a prism has the
shortest wavelength? Explain
your answer.( 38 points )
☁️ Answer ☁️
Violet
Explanation:
1. As the full spectrum of visible light travels through a prism, the wavelengths separate into the colors of the rainbow because each color is a different wavelength. Violet has the shortest wavelength, at around 380 nanometers, and red has the longest wavelength, at around 700 nanometers.
2. Isaac Newton's experiment in 1665 showed that a prism bends visible light andthat each color refracts at a slightly different angle depending on the wavelength of the color.
Here's the link if you want to know more:
https://science.nasa.gov/ems/09_visiblelight#:~:text=As%20the%20full%20spectrum%20of%20visible%20light%20travels,has%20the%20longest%20wavelength%2C%20at%20around%20700%20nanometers.
Hope it helps.
Have a nice day noona/hyung.
Answer:
Violet
Explanation:
As the full spectrum of visible light travels through a prism, the wavelengths separate into the colors of the rainbow because each color is a different wavelength. Violet has the shortest wavelength, at around 380 nanometers, and red has the longest wavelength, at around 700 nanometers.
What are examples of changes in people, animals, or objects that would help you make a claim about their age? NO LINKS OR YOURE GETTING REPORTED. Thanks
It’s Earth Science
Answer:
An example of changes in people based on their age, are mood changes,playfulness and as of objects you can say old or broken, animals can use the same reference as humans, the more mature you are can suggest your older, such as the more worn down your are based on a object
PLEASE HELP ASAP!!!!!!!1
Age of dino: Mesozoic era
End of earth a dessert: End of the Mesozoic
a layer: Paleozoic
will give you brainliest pls help
1. All the relevant resistors are in series, so the total (or equivalent) resistance is the sum of the resistances of the resistors: 20 Ω + 80 Ω + 50 Ω = 150 Ω [choice A].
2. The ammeter will read the current flowing through this circuit. We can find the ammeter reading using Ohm's law in terms of the electromotive force provided by the battery: I = ℰ/R = (30 V)(150 Ω) = 0.20 A [choice C].
3. The voltmeter will measure the potential drop across the 50 Ω resistor, i.e., the voltage at that resistor. We know from question 2 that the current flowing through the resistor is 0.20 A. So, from Ohm's law, V = IR = (0.20 A)(50 Ω) = 10. V, which will be the voltmeter reading [choice F].
4. Trick question? If the circuit becomes open, then no current will flow. Moreover, even if the voltmeter were kept as element of the circuit, voltmeters generally have a very high resistance (an ideal voltmeter has infinite resistance), so the current moving through the circuit will be negligible if not nil. In any case, the ammeter reading would be 0 A [choice B].
Which one of these Target games uses the underhand throw?
A: Golf
B: KanJam
C: Corn-Hole
D: None Of The Above
HELP!!
Answer:
Cornhole
Explanation:
A projectile only accelerates in which direction?
Answer:
the projectile travels with a constant horizontal velocity and a downward vertical acceleration.
What does this list of words mean 1 Collect 2 Badge 3 Shine 4 Trace 5 Pear 6 Window 7 Taken 8 Divide 9 Repeat 10 Entire 11 Tail 12 Harvest
Answer:
See explanation below
Explanation:
• Collect: Collect is verb that means to gather or bring something from someone or some place. It also means to extract or obtain an item from a place or person.
• Badge: A badge is a symbol of representation. It is either in a metallic or plastic form and it indicates that the bearer belongs to a certain school, organization or movement.
• Shine: Shine is a verb that means to illuminate or give out light. It also means to emit bright light from a source.
•Trace: Trace is verb that means to carefully track or find out something or an information by asking questions and doing research.
•Pear: Pear is an edible fruit that belongs to the rose family. It is usually green and rounded at the bottom while being narrow near its stalk.
• Window: A window is an opening, typically in a house or a vehicle and usually on the wall or roof. It admits air and light and lets people see through.
•Taken : Taken is the past participle of the verb “take” and it means to get a hold of something.
• Divide: Divide is a verb that means to share into differ parts.
• Repeat: Repeat means to do or say something more than once.
• Entire: Entire means “all” or “everything”. It also means “whole and complete” leaving no part out.
• Tail: Tail means the bottom or extreme end of a thing. It also means the hind part of an animal that sticks out close to the anus.
• Harvest: Harvest means to gather crops after they are grown and mature. It is the period of gathering crops in agriculture.
potential energy question
Answer:
closer together
Explanation:
hope i hv answered ur question
PLEASE ANSWER THIS ASAP I WILL MARK YOU THE BRAINLIEST The actual subject is Science but they dont have that as a option in pick a subject
PLEASE ANSWER THIS ASAP I WILL MARK YOU THE BRAINLIEST The actual subject is Science but they dont have that as a option in pick a subject
Answer:
I believe it is D.
Explanation:
I say this because it is position vs. seconds and it makes the most sense based on the markings. Sorry if I am wrong, hope it is right!
Answer: D. 40/15 = 2.67m/s
Explanation:
I hope it is correct
Juan is studying a group of cells under a microscope. His teacher tells him that the cells either came from the leaf of a tomato plant or the scale of a lizard. Juan could conclude that the cells came from the tomato plant if they contained?
Answer:
chloroplasts
Explanation:
What are examples of convection currents?
The movement of warm air into cooler air and cooler air into warm air.
The movement of cool water into warmer water and warmer water into the cool water.
The displacement of air/water molecules by other air/water molecules due to varying temperatures.
All of the above.
Answer:
I would say all of the above.
Explanation:
Look below for more examples
Figure 3.50 shows a wooden cube floating in water.
When a stone is placed on the wood, it sinks a further 0.2m.
Find the weight of the
(a) wood
(b) stone
(Density of water = 1000kgm^-3]
Answer:
(a) The weight of the wood is approximately 5,886 N
(b) The weight of the stone is approximately 1,962 N
Explanation:
The given parameters are;
The base area of the wood, A = 1 m × 1 m = 1 m²
The depth to which the wood is submerged below the water, d = 0.6 m
The depth further the wood sinks when a stone is placed on the wood, Δd = 0.2 m
The density of water, ρ = 1,000 kg/m³
(a) Archimedes' principle states that the up-thrust, or upward force acting on an object submerged in a fluid, is equal to the weight of the displaced fluid.
For a floating object such as the wood, the up-thrust is equal to the weight of the object
The weight of the water displaced, W = The volume of the displaced water, V × The density of the water, ρ × The acceleration due to gravity, g
W = V × ρ × g
'V' is the same as the volume of the submerged wood, therefore;
V = A × d = 1 m × 1 m × 0.6 m = 0.6 m³
g ≈ 9.81 m/s²
Therefore;
W = 0.6 m³ × 1,000 kg/m³ × 9.81 m/s² ≈ 5,886 Newtons
The weight of the water displaced, W ≈ 5,886 N = The up-thrust = The weight of the wood
∴ The weight of the wood, W ≈ 5,886 N
(b) Similarly, the weight of the stone, [tex]W_{stone}[/tex] is equal to the weight of the additional volume of water displaced
∴ [tex]W_{stone}[/tex] = A × Δd × ρ × g
By plugging in the values, we get
[tex]W_{stone}[/tex] ≈ 1 m² × 0.2 m × 1,000 kg/m³ × 9.81 m/s² = 1,962 N
The weight of the stone, [tex]W_{stone}[/tex] ≈ 1,962 Newtons
Which of the following is NOT true about noon in the Northern Hemisphere, on January 1?
A. The sun has reached its highest altitude for that day.
B. Your shadow is the shortest it will be that day.
C. Your shadow points due north.
D. The Sun is directly overhead.
Answer:
The answer is D
Explanation: