The speed of the dart when it hits the floor is approximately: 7.98 m/s.
The dart gun uses the potential energy stored in the compressed spring to shoot the dart.
This energy is converted into kinetic energy of the dart. The potential energy stored in the spring is given by the formula
U = 1/2 kx^2,
where k is the spring constant, and
|x is the distance the spring is compressed.
The potential energy stored in the spring is equal to the kinetic energy of the dart when it leaves the gun. Therefore, we can write:
1/2 kx^2 = 1/2 mv^2
where m is the mass of the dart, and
v is the velocity of the dart when it leaves the gun.
Solving for m, we get:
m = kx^2 / v^2
Now, we can use conservation of energy to determine the velocity of the dart when it hits the ground. The total mechanical energy of the dart-spring system is conserved, so:
PE + KE = PE' + KE'
where PE is the potential energy of the dart-spring system when the spring is compressed,
KE is the kinetic energy of the dart when it leaves the gun,
PE' is the potential energy of the dart when it hits the ground, and
KE' is the kinetic energy of the dart when it hits the ground.
The potential energy of the dart when it hits the ground is zero, and the only force acting on the dart is gravity. Therefore, we can write:
PE + KE = KE' + mgh
where h is the initial height of the dart.
Substituting the expressions for PE and m, we get:
1/2 kx^2 + 1/2 mv^2 = 1/2 mvf^2 + mgh
where vf is the final velocity of the dart when it hits the ground.
Solving for vf, we get:
vf = sqrt(v^2 + 2gh - (kx^2/m))
Substituting the given values, we get:
vf = sqrt(5.5^2 + 2*9.81*2 - (11*0.01^2/0.005))
vf ≈ 7.98 m/s
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How many straight edges does a cube have
Answer:
12
Explanation:
The acceleration of an object is ____________________ related to the net force exerted upon it and _____________________ related to the mass of the object.
A concrete dam holds back a large reservoir of water
potential or kinetic energy
Answer:
The water in a reservoir behind a hydropower dam is another example of potential energy. The stored energy in the reservoir is converted into kinetic energy as the water flows down a large pipe called a penstock and spins a turbine.
Explanation:
Hope this helps :))
A concrete dam holds back a large reservoir of water potential energy, the stored potential energy is converted into the kinetic energy which is converted into mechanical energy and then further converted into electrical energy.
What is hydropower?A dam or other construction that alters the natural flow of a river or other body of water is used to generate hydropower, often known as hydroelectric power.
In order to generate energy, hydropower uses the perpetual, never-ending water cycle, which uses water as a fuel and leaves no waste products behind. Although there are many different kinds of hydropower plants, they are always propelled by the kinetic energy of water moving downstream.
Thus, a concrete dam holds back a large reservoir of water potential energy.
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Guys please help me I am dead confused
Answer:
A
Explanation
The diagram in A. contain a variable resistor which can be use to vary the pd from the 6v battery
If Jay pushes on a box with a force of 20 N to the right and Bradley pushes on a box with a force of 15 N to the left, what is the net force on the box?
Answer:
Net force = 5N
Explanation:
Jay = 20N to the right
Bradley = 15N to the left
To find the net force;
Since the forces are being applied to the box in opposite direction i.e acting in opposite direction, we would subtract them.
Net force = 20 - 15
Net force = 5N
Therefore, the net force on the box is 5 Newton.
The temperature in deep space is thought to be about 3K.what is 3K in degrees Celsius and in degrees Fahrenheit?
Answer:
c
Explanation:
bnbbbn nbnbnb bbbb bnbb
In a bar magnet the magnetic force seems to come from each end. The ends of a bar magnet are
called the___
What one word completes the sentence?
What is the velocity of a 0.8kg ball that has a momentum of 3 kg*m/s?
What is a Sport car transformation
Answer:
when a car transforms...
Explanation:
Explanation:
Vivimos en un puente en lo que el diseño de coches se refiere, consecuencia de la gran disrupción de la automación que ocurriría en los próximos años.
A ray diagram shows an object placed between 2F and F of a convex lens.
The image produced is
smaller than the object.
upright.
larger than the object.
virtual
Answer:
larger than object
Explanation:
the image formed will be on the opposite side of lens and magnified
Answer:
C
Explanation:
Two charged spheres 10 cm apart attract each other with a force of 3.0 x 10^-6 N. What electrostatic force will result if both charges are doubled and the distance remains the same?
Answer:
The electrostatic force that will result if both charges are doubled and the distance remains the same is 6.0 * 10⁻⁶ N
Explanation:
Coulomb's law of electricity states that the magnitude of the force of attraction or repulsion between two charges is directly proportional to the product of their charges and inversely proportional to the square of the distance of of separation between them.
In formula; F = KQ₁Q₂/d²
Using the formula for electrostatic force of attraction above to determine the force of between the two charged spheres
Let the charges be Q₁ and Q₂; distance of separation be d, K is a constant
Initially, F₁ = KQ₁Q₂/d² ---- (1)
F₁ = 3.0 * 10⁻⁶ N
when the charges are doubled, Q₁ = 2Q₁; Q₂ = 2Q₂; K and d remains constant
F₂ = 2KQ₁Q₂/d² ----(2)
Dividing equation (2) by (1) to find the ratio of their forces
F₂/F₁ = (2KQ₁Q₂/d²) / KQ₁Q₂/d²
F₂/F₁ = 2
Thus, F₂ is twice F₁.
Since F₁ = 3.0 * 10⁻⁶ N; F₂ = 2 * 3.0 * 10⁻⁶ N
F₂ = 6.0 * 10⁻⁶ N
Therefore, the electrostatic force that will result if both charges are doubled and the distance remains the same is 6.0 * 10⁻⁶ N
Electrostatic force is a force imposed by one charge on another as a result of the field.Electrostatic force will be 12.0 x 10⁻⁶ N if both charges are doubled and the distance remains the same.
What is the electrostatic force?It is a force imposed by one charge on another as a result of the field.
The electrostatic force produced by one line charge on another line charge separated by distance d is determined by the charge potency of each charge as well as the separation distance between them.
Hence the electrostatic force is given by
[tex]\rm F=\frac{Kq_1q_2}{d^2}[/tex]
The given data in the question ,
d is the distance between the charge
F₁ is the electric force for case 1= 3.0 x 10⁻⁶ N
F₂ is the electric force for case 2= ?
Conditions for case 2;
(q₁=2q₁),(q₂=2q₂),d₂=d₁
For case 1,
[tex]\rm F_1=\frac{Kq_1q_2}{d_1^2}[/tex]
For case 2,
[tex]\rm F_2=\frac{K(2q_1)(2q_2)}{d_1^2}[/tex]
[tex]\rm F_2=4\times\frac{Kq_1q_2}{d_1^2}\\\\\rm F_2=4F_1[/tex]
[tex]\rm F_2=4\times\frac{Kq_1q_2}{d_1^2}\\\\\rm F_2=4\times3.0\times 10^{-6}\\\\\rm F_2=12.0\times10^{-6}[/tex]
Hence electrostatic force will be 12.0 x 10⁻⁶ N. if both charges are doubled and the distance remains the same.
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If the mass of a 1.8 g paperclip was able to be completely converted to energy, how much energy would you obtain?
Answer:
[tex]E=1.62\times 10^{14}\ J[/tex]
Explanation:
Given that,
The mass of the paperclip, m = 1.8 g = 0.0018 kg
We need to find the energy obtained. The relation between mass and energy is given by :
[tex]E=mc^2[/tex]
Where
c is the speed of light
So,
[tex]E=0.0018\times (3\times 10^8)^2\\\\E=1.62\times 10^{14}\ J[/tex]
So, the energy obtained is [tex]1.62\times 10^{14}\ J[/tex].
Can someone help me find which one is a sedimentary rock
All types of electromagnetic radiation travel at the speed of light. True or False?
Answer:
True
Explanation:
Generally speaking, we say that light travels in waves, and all electromagnetic radiation travels at the same speed which is about 3.0 * 108 meters per second through a vacuum.
Answer:
absolutely true
Explanation:
as it travels in a speed of 30×108 m per second
Which one illustrates it?
A) III
B) II
C) I
D) IV
Circuit diagram number II
I) R=(4*8)/(4+8)=8/3 Ω
II) R=4+((4*4)/(4+4))= 6 Ω
III) R= 4/3 Ω
IV) the same as I: 8/3 Ω
An object with a mass 4.0 kg has a momentum of 64 kgm/s . How fast is the object traveling ?
Answer:
The object will travel at the speed of 16 m/s.
Explanation:
Given
Mass m = 4.0 kg Momentum p = 64 kgm/sTo determine
How fast is the object traveling?
Important Tip:
The product of the mass and velocity of an object — momentum.
Using the formula
[tex]p = mv[/tex]
where
m = massv = velcityp = momentumThus, in order to determine the speed of the object, all we need to do is to substitute p = 64 and m = 4 in the formula
[tex]p = mv[/tex]
[tex]64\:=\:4\times v[/tex]
switch the equation
[tex]\:4\times \:v\:=64[/tex]
divide both sides by 4
[tex]\frac{4v}{4}=\frac{64}{4}[/tex]
simplify
[tex]v=16[/tex] m/s
Therefore, the object will travel at the speed of 16 m/s.
What is the speed of a person travels 1 meters in 4 seconds
Answer:
4 m/s
Explanation:
multiply m ang s para makuha yung speed ng isng object ....
How can you use the period of a wave to find the frequency?
Explanation:
Frequency is the number of occurrences of a repeating event per unit of time.
It is also referred to as temporal frequency, which emphasizes the contrast to spatial frequency and angular frequency.
The period is the duration of time of one cycle in a repeating event, so the period is the reciprocal of the frequency.
Relationship between Period and frequency is as under :
The frequency of a wave describes the number of complete cycles which are completed during a given period of time.
As such, frequency is a rate quantity which describes the rate of oscillations or vibrations or cycles or waves on a per second basis.
A common unit of frequency is the Hertz, abbreviated as Hz.
Frequency
=
1
Period
f = c / λ = wave speed c (m/s) / wavelength λ (m).
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A cat pushes a 0.25-kg toy with a net force of 8n. According to Newton's second law of motion, what is the acceleration of the ball?
Answer:
a = 32 m/s sq
Explanation:
An electromagnetic wave Group of answer choices a.Never moves b.Can travel through empty space or matter. c. Can travel only through empty space. d. Cannot travel through matter
Answer:
b
Explanation:
because electromagnetic waves can travel in vacuum as they don't require particles to transfer energy from one point to another. they can also travel through mediums such as the wall or air, if not how do radio waves transfer energy in this hyper advanced world? through the air
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A hockey puck, with an initial velocity of 65 km/h [W], ricochets off the boards. After 0.76 s in contact with the boards, its final velocity is 47 km/h [E]. Determine the acceleration of the puck.
Answer:
a = 40.937 m / s²
Explanation:
For this exercise let's use the relationship between momentum and momentum variation
I = Δp
F t = m v_f - mv₀
F = m (v_f -v₀) / t
let's reduce the magnitudes to the SI system
v_f = 47 km / h (1000m / 1 km) (1h / 3600 s) = 13.056 m / s
v₀ = - 65 km / h = -18.056 m / s
the negative sign is bearing the speed is west
let's calculate
F = m (13.056 + 18.056) / 0.76
F = m 40.937
now we can use Newton's second law
F = m a
m 40.937 = m a
a = 40.937 m / s²
An object moving in the air at a constant speed is considered to be in a balanced state. Explain Why
Answer:
and there is no friction
Explanation:
An object at rest has zero velocity - and (in the absence of an unbalanced force) will remain with a zero velocity. Such an object will not change its state of motion (i.e., velocity) unless acted upon by an unbalanced force. An object in motion with a velocity of 2 m/s, East will (in the absence of an unbalanced force) remain in motion with a velocity of 2 m/s, East. Such an object will not change its state of motion (i.e., velocity) unless acted upon by an unbalanced force. Objects resist changes in their velocity.
A 100-newton object is lifted 100 meters in 100 seconds. What is the
power generated in this situation?
As wavelength decreases, frequency and energy _________________;
a) increase b) decreases c) remain the same
Answer:
Increase
Explanation:
The best way for me to visualize the relation between wavelength, frequency, and energy is to think about actual ocean waves. Wavelength is a measure of the distance between two equivalent points on consecutive waves (think wave peak to wave peak). Lets say you are building a sand castle and want to see how many waves hit your castle over a period of 10 seconds. If the distance between each wave is 10 ft and the wave is traveling at 1 foot per second then you will only have one wave hit your castle. If the wavelength is 1/2 that (5 ft) then you will have 2 waves hit your castle in the same amount of time. This is the same concept behind waves in physics. The smaller the distance between each wave, the more waves and therefore more energy that will be delivered.
An airliner flys 950 miles from S.B. to Denver at 500 mph. How long does it take to fly to
Denver? time = distance / speed
Answer:
114 minutes
Explanation:
hope this helps. I just divided 950 by 500 that is 1.9 and 1.9 in minutes is 114. gl
HELP ME PLS
when your sence becomes sharper what is that
a.respitory system
b.circulatery system
c.nervouse system
d.muskeler and skeletal system
Answer:
it will option C ,hope it helps
Answer:
nervous system is your answer
Oscillations of electricity and magnetism create ________________________ waves, which include visible light waves.
Explanation:
radio waves, which include visible light waves.
15. Which of the following is the correct electron configuration for neon (10Ne)?
A. 1s 2s22p
C. 184 2s2 3s2 2p?
B. 1s 2s2 3s2 2p4
D. 152 282 3s2p5
Answer:
1s2,2s2,2p6 or (He) 2s2 2p6
A piece of gym equipment states that the maximum load it can hold is 300 kg. Why do you think it is important not to go over this limit?
Answer:
The weight limit of 300kg is the maximum amount the machine can handle so it can be dangerous to exceed the maximum load.
How does energy in the form of light photon travel through the many layers of the Sun?
Answer:Particles of light form from atoms undergoing nuclear fusion in the sun's innermost layer known as the core. The light then flows through the sun's interior for millennia, slowly bubbling up like water in a boiling pot. ... The view starts in the core of the sun where atoms fuse together to create light and energy.
Explanation: hope i helped
Light travels through the layers of the sun as particles called photons.
The sun is the principal source of energy in the universe. Energy from the sun is trapped by green plants and used in the process of photosynthesis.
Light travels through the layers of the sun as particles. These particles of light are called photons and they pass through the various layers of the sun.
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