The distance in which the spring is compressed is 1.065 m.
The given parameters;
mass of the block, m = 4.2 kgvelocity of the block, v = 3.5 m/sspring constant, k = 26 N/mcoefficient of friction, μ = 0.25Apply the principle of conservation of energy to determine the distance in which the spring is compressed.
[tex]K.E = W + U\\\\\frac{1}{2} mv^2 = \mu Fx \ + \ \frac{1}{2} kx^2\\\\\frac{1}{2}(4.2)(3.5)^2 = 0.25(4.2 \times 9.8)(x) \ + \frac{1}{2} (26)(x^2)\\\\25.725 = 10.29x \ + \ 13x^2\\\\13x^2 + 10.29x - 25.725 = 0\\\\[/tex]
solve the quadratic equation using formula method;
a = 13, b = 10.29, c = -25.725
[tex]x = \frac{-b \ \ +/- \ \sqrt{b^2 - 4ac} }{2a} \\\\x = \frac{-(10.29) \ \ +/- \ \sqrt{(10.29)^2 \ - \ 4(13\times 25.725)} }{2(13)} \\\\x = 1.065 \ m, \ \ or \ -1.86 \ m[/tex]
choose positive distance, x = 1.065 m.
Thus, the distance in which the spring is compressed is 1.065 m.
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How do motors use energy? Do they convert electrical energy into mechanical energy OR mechanical energy into electrical energy?
Plz help asap!
Answer:
Motors convert electrical energy into mechanical energy
Explanation:
A motor uses electrical energy to create mechanical energy by creating magnetic fields causing the motor to spin. A generator is the opposite and converts mechanical into electrical by spinning a motor in a magnetic field.
An electric motor can transforms electrical energy into mechanical energy. Therefore, option (1) is correct.
How do motors convert energy?Energy can be described as the ability of an object to do work. Energy can also be transformed to work and the work done on an object can be stored in the form of energy.
The energy contained by the object because of its motion is called kinetic energy. The energy contained by an object due to its position is called its potential energy. Mechanical energy can be defined as the sum between the kinetic energy and potential energy of a body according to the law of conservation of energy.
An electric motor is a machine that receives energy from electricity as electrical energy and transforms it into mechanical energy. Therefore, when electric energy is supplied to an electric motor it converts electrical energy into mechanical energy.
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A balance and a graduated cylinder are used to determine the density of a mineral sample. The sample has a mass of 14. 7 g and a volume of 2. 2 cm3. What is the density of the mineral sample?.
a car is moving due south for 4hr and covered a distance of 144km what is the velocity of the car?
Answer:
velocity ,V=?,T=4hr,Distance ,144km,
V=distance divide by time
=144/4=36km/hr
Give an example of when a conscientious objector might exercise their right:
Which of toby's answers is a correct description of what happens when a 1-kg cart traveling at 1 m/s collides inelastically with another 1-kg cart at rest?.
Answer:
hi I don't know sorry sorry forgive me
Explanation:
sorry
The angular quantities L, omega, and alpha are vectors. The vectors point along the axis of rotation with a direction determined by __________.
The vectors point along the axis of rotation with a direction determined by an arrow.
What is a vector?There are two types of physical quantity one is a scaler and another one is a vector.
The quantity that requires only megnitude to define is known as the scalar quantity. While the vector quantities need both megnitude and the direction to define.
The vector quantity is represented by an arrow. The vectors point along the axis of rotation with a direction determined by an arrow.
The angular quantities L, omega, and alpha are vector quantities.
Hence arrow is the correct answer for the blank.
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The direction of the vectors of angular momentum and L, angular velocity omega and the mass alpha is determined using the right hand rule.
What is right hand rule?Righthand rule in physics states that, when we curl our right hand fingers, the direction of the angular momentum and velocity will be in the direction of thumb and curl of fingers determine the axis of rotation.
Angular momentum is a vector quantity defined as the product of moment of inertia and angular velocity where, the angular velocity ω is the rotational analogue of linear velocity i.e.. product of the linear velocity and radius of rotational path.
Therefore, the angular quantities L, angular velocity ω along the axis of rotation can be determined using the right hand rule. Where direction of thump represents the direction of vector components.
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Fill out the material order form with the Quantity (number of each item) and total cost for
that item (Cost Quantity). Add the totals to ensure you do not exceed $100.
YOU HAVE $100 TO SPEND. NO BONUS POINTS FOR SAVING S.
Use the materials carefully, as they will not be replaced if you damage
them.
Material
Cost ($) Quantity
Cost x Quantity
Straw
2
Paperclip (large)
2.
String (12")
3
Tooth pick
3
Cup
5
Rubber band
5
7
Tape (0.5 m)
7
Paper (8.5" x 11")
Tissue Paper
10
Duct Tape
(.25m)
).
10
Cotton ball
12
Balloon
15
Paper plate
15
Total Cost =
Answer:
Explanation:
Material: Cost ($): Quantity: Cost x Quantity:
Straw 2$ 2x 2$ x 2
Paperclip 2$ 2x 2$ x 2
String 3$ 1x 3$ x 1
Toothpick 3$ 1x 3$ x 1
Cup 5$ 1x 5$ x 1
Rubber band 5$ 1x 5$ x 1
Tape 7$ 1x 7$ x 1
Paper 7$ 1x 7$ x 1
Tissue Paper 10$ 1x 10$ x 1
Duct Tape 10$ 1x 10$ x 1
Cotton ball 12$ 1x 12$ x 1
Balloon 15$ 1x 15$ x 1
Paper Plate 15$ 1x 15$ x 1
total: 100$
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Describe at least two similarities between untraviolet rays and microwaves
Scientists are experimenting with a kind of gun that may eventually be used to fire payloads directly into orbit. In one test, this gun accelerates a 5.6-kg projectile from rest to a speed of 3.5 × 103 m/s. The net force accelerating the projectile is 2.5 × 105 N. How much time is required for the projectile to come up to speed?
Answer:
7.84 s
Explanation:
Ok, one step at a time. We know the mass of the projectile, we know the force. Acceleration is easily obtained from Newton second law:
[tex]\vec F = m\vec a[/tex][tex]2.5\times 10^5 = 5.6a \rightarrow a = (2.5/5.6) \times 10^5 = 4.46 \times 10^4 ms^-^2[/tex].
At this point, we know the acceleration, we know initial and final velocity, we can time the ammount of time it took to get there.
[tex]v= v_0 +at \rightarrow 3.5\times10^3 = 0 + 4.46\times10^4 t\\t= \frac{3.5\times10^3}{4.46\times10^4} = 7.84 s[/tex]
How much force is required to move a tractor 60m, when using 250J of work?
Answer:
Work done,W= 250J
Displacement , s = 60
We know that, Work done = Force x displacement
i.e , W = Fxs
250 J = F x 60m
F = 250/60
=4.16 N
Hence , 4.16 N of Force is applied on the body.
Please find attached photograph for your answer.
Hope it helps.
Do comment if you have any query.
2. If Joe rides his bicycle in a straight line for 15 min with an average velocity of 12.5 km/h south, how far has he ridden?
Answer:
3.125 Kilometers
Explanation:
To answer this you just multiply 12.5 by .25 (since 15 minutes is a quarter of an hour) to get 3.125 kilometers ridden.
which type of telescope is best used to detect quasars?
Answer:Gamma-Ray Telescopes
Explanation:
Gamma-Ray Telescopes are used for detecting the gamma-ray part of the Electromagnetic Spectrum. These can detect very high-energy gamma-rays from radio galaxies, gamma-ray bursts from stars, supernovae events, and Quasars.
Radio Waves Telescope
Name any three things that cause soil pollution
Answer:
garbage , polluted water dam, unexpected dust particle
The wavelength is 1. 87 x 10-7 m. What is the frequency?.
Answer:
11.7 im pretty sure. i did the work so it should be correct
The amount of heat that is needed to raise the temperature of 1
kg of some material by 1°C is called the of the material.
a. specific heat
b. state
c. temperature
d. charge
Answer:
a. specific heat
Explanation:
a. specific heat
Global warming means that
Answer:
The earth is heating up.
Explanation:
This is due to human activities, primarily fossil fuel burning, which increases heat-trapping greenhouse gas levels in Earth's atmosphere.
State a hypothesis about your estimated daily water use.
Answer
Estimates vary, but, on average, each person uses about 80-100 gallons of water per day, for indoor home uses.
Explanation:
Explain why the 4th state of matter would and would NOT make an acceptable force field.
The 4th state of matter would make an acceptable force field.
The 4th state of matter which is plasma would make an acceptable force field because this fourth state of matter is present in ionized form which has two charges on it i.e. cation which is a positive charge and anion which is a negative charge.
We know that charges attract as well repel other objects if they are strong enough. Positive charge repel positive charge but attract negative charge so we can conclude that 4th state of matter would make an acceptable force field.
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In an exothermic reaction, energy is
the surroundings.
In an endothermic reaction, energy is
the surroundings.
Trick to identify:-
Exothermic reaction has +∆H sign on product sideEndothermic reaction has -∆H sign on product side or +∆H sign on reactant sideAnswer:
In an exothermic reaction, energy is
✔ released to
the surroundings.
In an endothermic reaction, energy is
✔ absorbed from
the surroundings.
Explanation:
Describe the steps in solving the problem below.
A red cart of mass 4 kg slides to the right on a frictionless track with a velocity of +4 m/s. It collides with the stationary blue cart of mass 1 kg. After the collision, the blue cart has a velocity of +8 m/s. Calculate the velocity of the red cart after the collision. ;)
The velocity of the red cart after the collision is 2 m/s
From the law of conservation of momentum, initial momentum of system = final momentum of system.
m₁v₁ + m₂v₂ = m₁v₃ + m₂v₄ where m₁ = mass of red cart = 4 kg, v₁ = velocity of red cart before collision = + 4 m/s, v₃ = velocity of red cart after collision, m₂ = mass of blue cart = 1 kg, v₂ = velocity of blue cart before collision = 0 m/s (since it is initially at rest) and v₄ = velocity of blue cart after collision = + 8 m/s.
Substituting the values of the variables into the equation, we have,
m₁v₁ + m₂v₂ = m₁v₃ + m₂v₄
4 kg × 4 m/s + 1 kg × 0 m/s = 4v₃ + 1 kg × 8 m/s
16 kgm/s + 0 kgm/s = 4v₃ + 8 kgm/s
16 kgm/s = 4v₃ + 8 kgm/s
16 kgm/s - 8 kgm/s = (4 kg)v₃
(4 kg)v₃ = 8 kgm/s
Divide both sides by 4 kg, we have
v₃ = 8 kgm/s ÷ 4 kg
v₃ = 2 m/s
The velocity of the red cart after the collision is 2 m/s.
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Tiny mass of 67kg and tubby mass of 83 kg are now on the opposite ends of a see saw and are both 1.4m from the balance point where should their sister teeny whose mass is 32 kg sit so the see saw balances
Answer:
0.7 m between the balance point and Tiny
Explanation:
It's intuitive to say she sould be on the side the smaller mass is placed. How far from the balance point?
Let's call x that distance. and assume that the contraption is "oriented" so that being on the side with tiny (and teeny) gives you a positive distance from the balance point, and negative on the other side.
At equilibrium, the sum of all momentums (momenta?) will be zero:
[tex]67\times 1.4 +32\times x + 83 \times (-1.4) = 0\\32x -16(1.4) = 0 \rightarrow 2x=1.4 x= 0.7[/tex]
In layman's term, she has to be halfway between the balance point and Tiny.
PLEASE ANSWER NEED HELP!!!!!!!! PLEASE THE CORRECT ANSWER!!!!!!
Jose’s doctor recommends that he add more cardio to his exercise routine. Which exercise would be the BEST choice?
A.
ballet
B.
jogging
C.
bowling
D.
volleyball
PLEASE NO LINKS OR I WILL REPORT YOU
Answer:
jogging
Explanation:
Jogging is often defined as running at a pace less than 6 miles per hour (mph), and it has some significant benefits for people who want to improve their health without overdoing it.
What is the relationship between momentum and kinetic energy.
Answer:
constant object, momentum increases directly with speed
Explanation:
whereas kinetic energy increases the square of the velocity due to energy momentum
What kind of force could cause this ball to not be at rest anymore, or cause it to move?
Answer:
friction
Explanation
Answer:
Friction
Explanation:
What force prevents an object at rest?
Sliding Friction While static friction keeps an object at rest, sliding friction slows down an object that slides. If you push an object across a room, you notice the sliding friction between the bottom of the object and the floor. You have to keep pushing to overcome the force of sliding friction.
Wire coils spinning between two magnets will produce …?
A: cold
B : electricity
C: chemicals
D: Steam
Answer:
B
Explanation:
I don't know but its b
given. force of 88N and an acceleration of 4 m/s 2 what is the mass?
Prove that the two equations shown below are equivalent.
F = ma and F = p/t
Newton’s Second Law of Motion is defined as Force is equal to the rate of change of momentum. For a constant mass, force equals mass times acceleration.
[tex]\Delta p = mv - mu \\\\\implies \Delta p = m(v-u) \\\\F = \dfrac{\Delta p}{\Delta t} = \dfrac{m(v-u)}{\Delta t} = ma[/tex]
F = ma is the formula of Newton’s Second Law of Motion.
To prove Newton's second law of motion,
Given Force F = Δp/Δt
What is relation between F = ma and F = Δp/Δt?Newton’s Second Law of Motion is defined as Force is equal to the rate of change of momentum. The second law of Newton can be described as the acceleration of an object which produces a net force is directly proportional to the magnitude of the net force, in the same path i.e., direction as the net force, and inversely proportional to the mass of the object.As the acceleration has its magnitude and direction it is a vector quantity.Proof for F=ma
Let us consider an object of mass m, moving along a straight line with an initial velocity u, final velocity v and it has some particular time t and thus Momentum can be related as,
For initial velocity u, p1 = m × u
The final velocity v, p2 = m × v
The change in momentum can be expressed as
p2 – p1 = (m × v) – (m × u)
p2 – p1 = m (v – u)
Here, we know that the rate of change of momentum with respect to time is proportional to the applied force.
The applied force F,
F ∝ [m (v – u)]/t
F ∝ m × a
As acceleration (a) is the rate of change of velocity with respect to time.
F = k × m × a
F = ma
where k can be the constant.
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A container on the highway with a round hemispherical end is considered a(n) _________ pressure container.
Answer:
high pressure container
A container on the highway with a round hemispherical end is considered a(n) High-pressure container.
What is pressure ?Pressure (symbol: p or P) stands the force involved perpendicular to the surface of an object per unit area over which that force exists distributed. 445 Gauge pressure (even spelled Gage pressure) exists the pressure comparable to the ambient pressure.
Various units exist utilized to represent pressure. Some of these derive from a unit of force separated by a unit of area; the SI unit of pressure, the pascal (Pa), Pressure may also be represented in terms of standard atmospheric pressure; the atmosphere (atm) stands equivalent to this pressure, and the tore exists described as 1⁄760 of this.
Hence, A container on the highway with a round hemispherical end is considered a(n) High-pressure container.
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150 J of work is done on a closed system, and 270 J of heat is added to the system. Does the internal energy of the system increase, decrease, or stay the same? If the internal energy changes, state the change in energy.
The change in the internal energy of the system will increase.
The given parameters;
work on the system, w = 150 Jheat added to the system, Q = 270 JThe change in the internal energy of the system is calculated by applying first law of thermodynamics as follows;
ΔU = Q + w
where;
ΔU is the change in the internal energyΔU = 150 J + 270 J
ΔU = 420 J
Thus, the change in the internal energy of the system increases.
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Da 6.0 kg wooden crate slides across a wooden floor
at a speed of 2.4 m/s, it it takes an applica force
of 25 N to keep it going at a steady speed. What is the
coe of kinetic friction between the floor and crate?
Answer:coe?
Explanation: