Answer:
The positions are 0.0194 m and - 0.0194 m.
Explanation:
Given;
amplitude of the simple harmonic motion, A = 2.0 cm = 0.02 m
speed of simple harmonic motion is given as;
[tex]v = \omega \sqrt{A^2-x^2}[/tex]
the maximum speed of the simple harmonic motion is given as;
[tex]v_{max} = \omega A[/tex]
when the speed equal one fourth of its maximum speed
[tex]v =\frac{v_{max}}{4}[/tex]
[tex]\omega\sqrt{A^2-x^2} = \frac{\omega A}{4} \\\\\sqrt{A^2-x^2}= \frac{A}{4}\\\\A^2-x^2 = \frac{A^2}{16} \\\\x^2 = A^2 - \frac{A^2}{16} \\\\x^2 = \frac{16A^2 - A^2}{16} \\\\x^2 = \frac{15A^2}{16} \\\\x= \sqrt{\frac{15A^2}{16} } \\\\x = \sqrt{\frac{15(0.02)^2}{16} }\\\\x = 0.0194 \ m \ \ or\ - 0.0194 \ m[/tex]
Thus, the positions are 0.0194 m and - 0.0194 m.
The positions where the speed equals 1/4 of its maximum speed is mathematically given as
[tex]x \pm 0.0194[/tex]
What positions does its speed equal one-fourth of its maximum speed?Question Parameters:
an amplitude of 2.00 cm.
Generally, the equation for the speed of simple harmonic motion is mathematically given as
[tex]v = w \sqrt{A^2-x^2}\\\\v=\frac{wA}{4}[/tex]
Therefore
[tex]w \sqrt{A^2-x^2}=\frac{wA}{4}\\\\x^2=A^2-A^2/16\\\\x=\sqrt{\frac{15A^2}{16}}[/tex]
[tex]x \pm 0.0194[/tex]
In conclusion, the positions are
[tex]x \pm 0.0194[/tex]
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Suppose your mass is 72.5 kg and you climb 40 stairs of height 18 cm in 17.0 s. What is your power output as you climb the stairs?
Answer:
Your power output as you climb the stairs is 300.92 Watts.
Explanation:
Power is the amount of work per unit of time that some object or system produces. Power is calculated by:
[tex]P=\frac{W}{t}[/tex]
Power is measured in watts (W), equivalent to one joule (J) of work done per second (s).
Work is defined in physics as the force that is applied to a body to move it from one point to another. The work is calculated as the multiplication of the force by the distance:
Work = F*d
Newton's second law says that the acceleration of a body is proportional to the resultant of forces on the acting and inversely proportional to its mass. This is expressed by the equation:
F=m*a
In this case,
considering that the force of gravity acting on you, the force is:
F=m*a= 72.5 kg * 9.8 [tex]\frac{m}{s^{2} }[/tex] =710.5 N
The distance is the multiplication between the number of stairs and the height of the stairs in meters (18 cm= 0.18 m, being 100 cm= 1 m):
d = 40 * 0.18 m= 7.2 m
Then:
Work= 710.5 N* 7.2 m
Work= 5,115.6 J
So finally the power can be calculated as:
[tex]P=\frac{5,115.6 J}{17s}[/tex]
P= 300.92 Watts
Your power output as you climb the stairs is 300.92 Watts.
How much more efficient is organic farming than "regular" farming?
Answer:
Organic systems used 45% less energy overall than conventional systems. Production efficiency was 28% higher in the organic systems, with the conventional no-till system being the least efficient in terms of energy usage.
Answer: 65%
Explanation: i took the quiz
A 20 kg wagon is rolling to the right across a floor. A person attempts to catch and stop the crate and applies a force of 70 N, 180.0 on it. If the coefficient of friction is 0.18, calculate the deceleration rate of the wagon as it is caught.
Answer:
1.736m/s²
Explanation:
According to Newton's second law;
[tex]\sum F_x = ma_x\\[/tex]
[tex]Fm - Ff = ma_x\\[/tex] where;
Fm is the moving force = 70.0N
Ff is the frictional force acting on the body
[tex]Ff = \mu R\\Ff = \mu mg\\[/tex]
[tex]\mu[/tex] is the coefficient of friction
m is the mass of the object
g is the acceleration due to gravity
a is the acceleration/deceleration
The equation becomes;
[tex]Fm - Ff = ma_x\\Fm - \mu mg = ma\\[/tex]
Substitute the given parameters
[tex]Fm - \mu mg = ma\\70 - 0.18(20)(9.8) = 20a\\70-35.28 = 20a\\34.72 = 20a\\a = \frac{34.72}{20}\\a = 1.736m/s^2\\[/tex]
Hence the deceleration rate of the wagon as it is caught is 1.736m/s²
A golf ball flies through the air after being struck with a golf club. Which of the following statements describes the force on the ball as momentum is transferred between the club and ball?
A. The ball does not experience any force.
B. The force experienced by the ball is greater than the force experienced by the club.
C. The force experienced by the ball equals the force experienced by the club.
D. The force experienced by the ball is weaker than the force experienced by the club.
Answer:
C) The force experienced by the ball equals the force experienced by the club.
Explanation:
When the golfer strikes the ball with his club, the club exerts a force on the ball. Due to Newton's Third Law Of Motion [Every Action has an equal and opposite reaction], the ball also exerts an equal force on the club. However,
As the mass of the club is usually greater than the mass of the ball, it accelerates slower; While the ball way faster, following the equation : F=ma
An ideal heat engine absorbs 97.2 kJ of heat and exhausts 83.8 kJ of heat in each cycle. What is the efficiency of the engine?
Answer:
13.7%
Explanation:
Given that,
Heat absorbed by the engine = 97.2 kJ
Heat exhausted by the engine in each cycle = 83.8 kJ
We need to find the efficiency of the engine. It is calculated by the formula.
[tex]\eta=1-\dfrac{Q_e}{Q_a}\\\\=1-\dfrac{83.8}{97.2}\\\\=0.137\\\\=13.7\%[/tex]
so, the efficiency of heat engine is 13.7%.
An athlete stretches a spring an extra 40.0 cm beyond its initial length. How much energy has he transferred to the spring, if the spring constant is 52.9 N/cm?
a) 4230 kJ
b) 4230 J
c) 423 kJ
d) 423 J
Answer:
b) 4230 JExplanation:
Step one:
given data
extension= 40cm
Spring constant K= 52.9N/cm
Step two:
Required
the Kinetic Energy KE
the expression to find the kinetic energy is
KE= 1/2ke^2
substituting our data we have
KE= 1/2*52.9*40^2
KE=0.5*52.9*1600
KE= 42320Joules
The answer is b) 4230 J
1. The mass of the Earth is 81 times the mass of the Moon. Using Newton's Law of Gravity, what would the effect of gravitation be if the mass of the Moon were increased by four times and the distance between Earth and
the Moon were cut in half?
Answer:
effects of gravity on the Moon and Earth
Explanation: Newton found the Moon's inward acceleration in its orbit to be 0.0027 metre per second per second, the same as (1/60)2 of the acceleration of a falling object at the surface of Earth.
What is the algebraic sign (+ or -) for designating the distance and velocity vectors for an object in free fall?
Answer:
positive- downward
negative- upward
Explanation:
A vector is a quantity described by a magnitude and a direction.
The algebraic sign, positive (+) and negative (-) are used to designate the distance and velocity vectors for an object in free fall where positive represents downward and negative represents an upward movement of the object.
Hence, the correct answer is "positive- downward and negative- upward".
Determine the distance between a newly discovered planet and its single moon if the orbital period of the moon is 1.2 Earth days and the mass of the planet it orbits is 9.38E24 kg.You may assume the orbit to be circular.
Answer:
The distance is [tex]r = 55430496 \ m[/tex]
Explanation:
From the question we are told that
The period of the moon [tex]T = 1.2 days = 1.2 * 24 * 3600 = 103680 \ s[/tex]
The mass of the planet is [tex]m_p = 9.38*10^{24} kg[/tex]
Generally the period of the moon is mathematically represented as
[tex]T = 2 * \pi * \sqrt{ \frac{r^3 }{ G * m_p } }[/tex]
Here G is the gravitational constant with value
[tex]G = 6.67 *10^{-11} \ N \cdot m^2/kg^2[/tex]
=> [tex]T = 2 * \pi * \sqrt{ \frac{r^3 }{ G * m_p } }[/tex]
=> [tex]103680 = 2 * 3.142 * \sqrt{ \frac{r^3 }{ 6.67*10^{-11} * 9.38*10^{24} } }[/tex]
=> [tex]272218492.31 = \frac{r^3}{ 6.67 *10^{-11} * 9.38*10^{24}}[/tex]
=> [tex]r = \sqrt[3]{ 1.7031241*10^{23}}[/tex]j
=> [tex]r = 55430496 \ m[/tex]
what do scientists compare to make sure they classify an organism correctly?
A: Other organisms
B:Taxonomic charts
C: DNA strands
D:Skeletons
Answer:
Explanation:
I think is B
Ther are several differences between chemical and physical changes. Which process is an example of a chemical change?
Answer:
A physical change is the change of the shape or color.
Explanation:
Answer: Fire
Explanation: There are lots of different types of chemical changes but fire is the best example and almost always used in text books and tests. Fire, or "combustion" completely changes the fuel. It is a chemical reaction that produces heat and light energy in exchange for fuel and O2.
which energy resource is renewable
Explanation:
solar energy is the answer
A circuit can only light up a lightbulb if there is a ______ path for electricity to travel from one end of the energy source to the other end.
Answer:
Continuous
Explanation:
A circuit can only light up a lightbulb if there is a continuous path for electricity to travel from one end of the energy source to the other end.
Answer:
continuios
Explanation:
Psychologists often talk of the nature-nurture controversy. Which of these
concepts supports the "nurture" over the "nature" part?
O A. Freudian concepts
O B. James-Lange
OC. Tabula rasa
OD. Biological origins
Answer:
O A. Freudian concepts
Freud (1905) stated that events in our childhood have a great influence on our adult lives, shaping our personality. He thought that parenting is of primary importance to a child's development, and the family as the most important feature of nurture was a common theme throughout twentieth-century psychology (which was dominated by environmentalists theories).
Explanation:
Hope this helped!
O A. Freudian concepts. Freud (1905) stated that events in our childhood have a great influence on our adult lives, shaping our personality.
Who is O.A. Freudian?He thought that parenting is of primary importance to a child's development, and the family as the most important feature of nurture was a common theme throughout twentieth-century psychology (which was dominated by environmentalists theories).
One of the case studies most closely linked with the Austrian psychotherapist Sigmund Freud is the hysterics and treatment of Anna O.
Despite the fact that Freud is intimately identified with Anna O, it is thought that he never actually treated her; instead, Breuer saw the patient.
Therefore, O A. Freudian concepts. Freud (1905) stated that events in our childhood have a great influence on our adult lives, shaping our personality.
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If a ball that is freely falling has attained a velocity of 19.6 m/s after 2 seconds,
what is its velocity 5 seconds later?
Answer:
68.6 m/s
Explanation:
Recall that the velocity formula to use for accelerated motion due to gravity (g) is:
vf =vi + g * t
so if 19.6 m/s is the initial velocity for the free falling object, then, 5 seconds later under the acceleration of gravity (g) :
vf = 19.6 + 9.8 * (5) = 68.6 m/s
Jadeen says that you can increase the resistance of a copper wire by hammering the wire to make it narrower and longer. Arnell says that you can increase its resistance by heating the wire. Which one, if either, is correct, and why?
1) Arnell, because the conductivity of the wire increases when it is heated.
2) Arnell, because the conductivity of the wire decreases when it is heated.
3) Jadeen, because the conductivity of a wire is directly proportional to its area and inversely proportional to its length.
4) Jadeen, because the conductivity of a copper wire does not increase and might decrease when it is hammered.
5) Both are correct because (b) and (d) are both correct.
Answer:
The answer is "Option 5".
Explanation:
Jadeen claims that only by hitting the wire to make it thinner and wider, it can improve a copper wire's strength, which is why a copper wire's permeability doesn't quite improve and can reduce once it is pounded. Arnell says so by heating its wire, it can improve its strength, and when it is heated, the wire's permeability reduces.
what color of visable light has a longer wavelenth than yellow
Answer:
orange and red
Explanation: hope this helps lemme know if its correct
Which property of matter depends on the amount of a substance that is present?
boiling point
density
solubility
mass
Answer:
the answer is 4
Explanation:
just answer the question
The rise of a line on a distance-versus-time graph is 400 km and the run is 50 hours. What is the speed of the object represented by this graph? help 5 mins remaining
Answer:
400km/50h = 90m/s..
Explanation:
..
Given the distance covered and time elapsed, the speed of the object represented by the graph is 8km/hr.
What is Speed?Speed is simply referred to as distance traveled per unit time.
Mathematically, Speed = Distance ÷ time.
Given the data in the question;
Distance it must cover d = 400kmTime elapsed t = 50hrsSpeed S = ?Speed = Distance ÷ time
Speed = 400km ÷ 50hrs
Speed = 8km/hr
Given the distance covered and time elapsed, the speed of the object represented by the graph is 8km/hr
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The scientific term describing the ball changing position as it goes from
Steph Curry's hand, into the air, and through the hoop.
A= velocity
B= speed
C= vector
D= motion
Answer:
Vector
Explanation:
Vector is a quantity that shows the direction or path through which a body travels with as it changes position.
As body travels, the direction sometimes changes and this is described by the vector of the body.
Velocity is a vector quantity that describes the displacement per unit of time of a body.
Speed is a scalar that deals with the distance covered per time
So, a vector specifies the magnitude of a physical quantity and also the direction through which it travels.
How long would it take a train traveling at 18 m/s to travel 7,500 m? Answer in minutes.
Please I need help !!
Answer:
6.94446 min
Explanation:
t=s/v
A 500 kg motorcycle accelerates at a rate of 2 m/s .how much force was applied to the motorcycle?
Answer:
A force of 1000 N was applied on the motorcycle.
Explanation:
What is force ?The rate of change of momentum is called force.It is defined by the product of mass and velocity'Force = Mass x Acceleration.F = m aGiven data,
[tex]m = 500 Kg\\a = 2m/s^{2} \\putting in the formula\\F = m.a\\[/tex]
F = 500x 2
F = 1000N
Hence the force applied is 1000 N
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The practice of science can answer only scientific questions. And scientific
questions guide the design of investigations. What must be true of the possible answers to a scientific question?
A. They can be supported by evidence.
B. They agree with all prior experiments.
C. They are popular with a majority of scientists.
D. They lead to increased funding of scientific research.
Correct answer is A! Ap3x approved
Answer:
a
Explanation:
As the scientific questions guide the design of investigation, They must be supported by They can be supported by evidence.
The correct option is A.
what is the scientific investigation?Scientific investigation is the process of looking for answers by doing extensive research and finding the answers through experimental results.
The scientific investigation very much relies on true experimental results that can be supported by evidence.
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advantage of compound pendulum
What is the function of a switch in an electrical circuit?
A. It interrupts the low of electrons when it is open.
B. It resists the flow of electrons when it is open.
C. It interrupts the flow of electrons when it is closed.
D. It resists the flow of electrons when it is closed.
Correct answer is A!! Ap3x approved
Answer:
A. It interrupts the low of electrons when it is open.
Explanation:
The switch in an electrical circuit interrupts the flow of electrons when it is open. Therefore, option (A) is correct.
What is an electrical circuit?The electric circuits can be described as closed-loop or paths, forming a network of electrical components where electrons flow. The path is generally made using electrical wires. The start-off point from where the electrons start flowing is known as the source, whereas the point where electrons leave the electrical circuit is known as the return.
The switch can be described as a small gap in the circuit. There are many types of switches. A switch is used to open or close an electrical circuit. A switch can be described as an electrical component that can be used to turn on and turn off any equipment.
When the switch of an electrical circuit is off, the circuit is open, and there is no flow of current or electrons. The current flow when the circuit is closed, therefore the switch should be on.
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why do we consider market demand as indicator of harvesting raised animal/fish?
Answer:
Following are the solution to this question:
Explanation:
In the given question, the substantial growth throughout stocks and also in agricultural productivity, combined with a growing public understanding of both the important importance of seafood as a food item in a healthy, diversified diet, has led to the upward rise in fish consumption in the last fifty years.
HELP!!!!This question is typical on some driver's
license exams: A car moving at 49 km/h skids
12 m with locked brakes.
How far will the car skid with locked brakes
at 122.5 km/h? Assume that energy loss is
due only to sliding friction.
Answer in units of m.
Answer:
d=75 m
Explanation:
Before Skidding
[tex]v^2-v_o^2=2ad[/tex]
[tex]0^2-49^2=2a(12)[/tex]
After Skidding
[tex]v^2-v_o^2=2ad[/tex]
[tex]0^2-122.5^2=2ad[/tex]
[tex]\frac{49^2}{122.5^2}=\frac{12}{d}[/tex]
[tex]d=75 m[/tex]
Hope it helps
The change in motion (acceleration) of an object depends on
The size of the force
The mass of the object
BOTH the size of the force AND the mass of the object
Answer:
BOTH the size of the force AND the mass of the object
Explanation:
Acceleration of an object is the rate of change of its velocity.
The relation between force, mass and acceleration is given by the formula as follows :
F = ma
m is mass
a is acceleration
It would mean that the change in motion or the acceleration of an object depends on both the size of the force and the mass of the object. Hence, the correct option is (c).
To suck lemonade of density 1000 kg/m3 up a straw to a maximum height of 3.47 cm, what minimum gauge pressure (in atmospheres) must you produce in your lungs?
Answer:
The minimum gauge pressure you must produce in your lung is -3.356 x 10⁻³ atm
Explanation:
Given;
density of the lemonade, ρ = 1000 kg/m³
maximum height of the lemonade, h₂ = 3.47 cm = 0.0347 m
The minimum gauge pressure you must produce in your lung is given by Bernoulli’s equation;
P₂ + ρgh₂ = P₁ + ρgh₁
P₂ = P₁ + ρgh₁ - ρgh₂
P₂ = P₁ + ρg(h₁ - h₂)
P₂ = P₁ + ρg(0 - h₂)
P₂ = P₁ - ρgh₂
P₂ = 0 - ρgh₂
P₂ = - ρgh₂
P₁ = -(1000)(9.8)(0.0347)
P = -340.06 N/m²
The gauge pressure (in atmospheres) is given as;
P = -340.06 / 101325
P = -0.003356 atm
P = -3.356 x 10⁻³ atm
Therefore, the minimum gauge pressure you must produce in your lung is -3.356 x 10⁻³ atm
This diagram shows a baseball’s motion.
A baseball is shown at 5 positions along an arc from left to right. A is far left and C is center, with B halfway between A and C. E is far right with D halfway between C and E.
Which statement is best supported by the diagram?
Kinetic energy becomes potential energy between points R and S.
Maximum potential energy is at point P.
Maximum potential energy is at point R.
Potential energy becomes kinetic energy between points P and Q.
Answer:
c
Explanation:
Maximum potential energy is at point R is best supported by the diagram. Therefore, the correct option is option C among all the given options.
What is motion?In physics, motion is a function of a body's position or orientation over time. Translation is defined as movement across a line or even a curve. Rotation is a motion that modifies a body's orientation. In all scenarios, the acceleration and directed speed of every point on the body are equal (time rate of change of velocity).
Every movement has a frame of reference to which it is related. A body isn't in motion when it is said to be at rest; rather, it is being characterized in relation to a reference frame that's also moving with the body. Maximum potential energy is at point R is best supported by the diagram.
Therefore, the correct option is option C.
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