The change in the spring potential energy is calculated to be 0.05 Joules if the spring has a constant of 125 N/m.
The formula for the change in the spring potential energy can be given as;
String potential energy = distance of displacement × force
As the distance of displacement is 2 cm we convert it into meters as follows;
1 m = 100 cm
2 cm = 2 ÷ 100 m
2 cm = 0.02 m
The force can be determined by using the following formula;
force = spring constant × displacement
force = 125 N/m × 0.02 m
force = 2.5 N
Now substituting the values of force and displacement in the equation for potential energy as follows;
String potential energy = 0.02 × 2.5
String potential energy = 0.05 Joules
Hence 0.05 Joules is determined to be the change in the spring potential energy.
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Find A mass of 10 kg is moving in a circular path of radius 2 m with a uniform speed of 50 ms the centripetal acceleration and the corresponding centripetal force
Answer:
Centripetal acceleration: [tex]1250\; {\rm m\cdot s^{-2}}[/tex].
Resultant force on the object should be [tex]12500\; {\rm N}[/tex].
(Assuming that the speed of the object is [tex]50\; {\rm m\cdot s^{-1}}[/tex].)
Explanation:
For an object that travels along a circle path of radius [tex]r[/tex] at a speed of [tex]v[/tex], (centripetal) acceleration will be [tex]a = (v^{2} / r)[/tex].
In this example, speed is [tex]v = 50\; {\rm m\cdot s^{-1}}[/tex] while the radius of the circular path is [tex]r = 2\; {\rm m}[/tex]. The (centripetal) acceleration of this object will be:
[tex]\begin{aligned}a &= \frac{v^{2}}{r} \\ &= \frac{(50\; {\rm m\cdot s^{-1}})^{2}}{(2\; {\rm m})} \\ &= 1250\; {\rm m\cdot s^{-2}}\end{aligned}[/tex].
For an object of mass [tex]m[/tex], the resultant force to achieve acceleration [tex]a[/tex] is [tex]F(\text{net}) = m\, a[/tex]. In this example, [tex]m = 10\; {\rm kg}[/tex] while [tex]a = 1250\; {\rm m\cdot s^{-2}}[/tex]. The required resultant force will be:
[tex]\begin{aligned}F(\text{net}) &= m\, a \\ &= (10\; {\rm kg})\, (1250\; {\rm m\cdot s^{-2}}) \\ &= 12500\; {\rm kg \cdot m\cdot s^{-2}} \\ &= 12500\; {\rm N} \end{aligned}[/tex].
According to ___ in the nec®, unused knockouts and other openings in electrical boxes and cabinets are required to be closed.
According to sect 110.12 (A) in the NEC, unused knockouts and other openings in electrical boxes and cabinets are required to be closed.
What do you understand by national electrical code?
A United States standard for the secure installation of electrical wiring and equipment is the National Electrical Code (NEC), also known as NFPA 70. It is a component of the National Fire Protection Association's National Fire Codes series (NFPA). While the NEC does not represents a U.S. law, NEC use is typically mandated by state or municipal legislation, as well as in many jurisdictions outside of the United States. The NEC standardizes and codifies the specifications for secure electrical installations. The "authority having jurisdiction" checks to see if these minimum requirements have been met.
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A 14 kg box is being pushed across a floor with an applied force of 12 N at a constant velocity of 6 m/s. The surface then becomes very rough, and with the same applied force, the box comes to rest in 2 seconds. What is the acceleration of the box while at constant velocity?
*
acceleration during the constant speed is the friction acceleration which is 3 ms^-2.
What is accelaration?Accelaration is the eate of the change of the velocity of an object with respect by time.
Accelaration (a) id the reason that change in velocity over to the change in time.
Represented by the equation to a= ∆v/∆t. This is allowa you to measure how fast velocity by the changes in meters per second squars (m/s^2).
Here mass is 14 KG box
Here friction force applied by the because of rough place so that it stopped in 2 seconds
So acceleration by friction is negative sense and 6/2 or 3 ms^-2
So static frictional force is = 14×3 or 54 which is greater than the applied force
So the acceleration during the constant speed is the friction acceleration which is 3 ms^-2.
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to study problems concerned with the motion of matter under the influence of forces, i.e., dynamics, it is necessary to locate a point called
The center of mass must be found in order to analyze issues involving the flow of matter when subjected to forces, or dynamics.
Motion: A Simple DefinitionMotion is the alteration of a skin's position or orientation over time. The movements of people and animals is just one illustration of how everything in the cosmos is always moving. In addition, the fundamental building block of matter, the atom, is likewise constantly in motion.
Describe a motion example.Motion is the free flow of a body in relation to time. For instance, the fan, the carpet's dust blowing off of it, the water running from the faucet, a ball rolling about, a moving car, etc. Even just the universe is always changing.
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What is the kinetic energy of a 1,854.50 kg car that travels at 8.61 m/s?
Answer:
[tex] \huge{\boxed{68,738.99 \: J}} [/tex]
Explanation:
The kinetic energy of the car can be found by using the formula
[tex] \bold{k = \frac{1}{2} \times m \times {v}^{2} \\ }[/tex]
m is the mass in kg
v is the velocity in m/s
From the question
m = 1854.5 kg
v = 8.61 m/s
[tex]k = \frac{1}{2} \times 1854.5 \times {8.61}^{2} \\ k = 927.25 \times 74.1321 \\ \\ k = 68738.989[/tex]
We have the final answer as
68,738.99 Jhat is the width of a single slit thatproduces its first minimum atfor 600-nmlight? (b) find the wavelength of light that hasits first minimum at.
The width of the slit would be approximately 690 nm. The width of a slit refers to the size of the opening in the barrier that is used to produce the slit.
How to find width of slit ?The width of a single slit that produces its first minimum at 60 degrees for 600-nm light can be calculated using the formula for the width of a single slit, which is:
w = λ / (sin θ)
where w is the width of the slit, λ is the wavelength of the light, and θ is the angle at which the first minimum occurs. Plugging in the values for λ and θ, we get:
w = 600 nm / (sin 60°)
= 600 nm / (0.866)
= 690 nm
So the width of the slit would be approximately 690 nm.
It's important to note that this is just an approximate value, as the exact width of the slit will depend on the precise conditions of the experiment, such as the distance between the slit and the screen, the size and shape of the slit, and other factors.
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scouts at a camp shake the rope bridge they have just crossed and observe the wave crests to be 5.45 m apart. if they shake the bridge three times per second, what is the propagation speed of the waves (in m/s)?
The propagation speed of the waves is v = 1.1009 m/s
What is propagation of wave ?Waves' progression and transformation through space and time. The article will examine several definitions in addition to the usual one for wave propagation.
There are numerous crests and troughs that sound waves travel over. II Sound waves need a physical medium to travel through. III The movement of particles is thought to be responsible for the propagation of sound waves.
Transverse waves include electromagnetic waves like X-rays, radio waves, and visible light. Electric and magnetic fields moving in a perpendicular direction make up these waves. The best examples of longitudinal waves, which vibrate parallel to the direction of the wave, are sound waves.
The formula is
v = fλ
given distance is 5.45 m
and the number of times the bridge is shaken is 3 times
this implies
v = 3 / 5.45 × 2
v = 1.1009 m/s
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The galactic distances used to measure the acceleration of the universe are determined by observations of.
Answer:
Exploding white dwarfs
Explanation:
The galactic distances used to measure the acceleration of the universe are determined by observations of exploding white dwarfs. Some observations has shown the evidence that the universe is accelerating. This accelerating expansion result from observations of the brightness of distant supernovae.
Answer:
trigonometric parallax.
Explanation:
2 The speed-time graph shows the movement of a car.
speed
0
0
T
time
Which feature of the graph represents the distance travelled by the object whilst
moving at a constant speed?
A
area S
B
area S+ area T
C
area T
D the gradient at point X
Area T represents the distance travelled by the object whilst moving at a constant speed. Option (C) is correct.
What is speed?The distance an object travels in a unit of time is its speed. Speed is a scalar quantity since it has simply magnitude and no direction. SI unit of speed is meter per second.
Hence, mathematically:
Speed = distance travelled/time interval.
Distance travelled = speed × time interval.
In the given graph, area T represents constant speed × time interval. Hence, area T is equal to the distance travelled by the object moving at a constant speed.
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Calculate the gravitational force between two objects when they are 0.750m
apart. Each object has a mass of 5.00kg.
A- 2.23x10^-8N
B- 3.00x10^-6N
C- 2.22x10^9N
D- 2.96x10^-9N
The gravitational force of attraction between two objects is 2.964 x 10⁻9 N. So, the correct option is D.
What is meant by gravitational force ?Gravitational force is defined as the force of attraction experienced by a body due to the gravity of earth.
Here,
Mass of each body,
m₁ = m₂ = 5 kg
Distance between the masses, r = 0.75 m
The equation for gravitational force is given by,
F = Gm₁m₂/r²
where G is the gravitational constant.
Therefore,
F = (6.67 x 10⁻¹¹x 5 x 5)/(0.75)²
F = 166.75 x 10⁻¹¹/0.5625
F = 2.964 x 10⁻9 N
Hence,
The gravitational force of attraction between two objects is 2.964 x 10⁻9 N.
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Which questions would help determine whether an article is scientifically accurate? Group of answer choices Is the author stating an opinion or a fact? Does the author have evidence for the given facts? Does the author like music? How many articles has the author written before? Does the author have a balanced diet?
0.08 gram mass of magnesium oxide will be formed.
What is mass?Mass is an intrinsic property in the mass of a body. It was the traditionally believed to the be related to the quantity of matters in the physical body, until it is discovery of the atom and particle in physics.
Mass is quantitative measure of inertia a fundamental quantity of all matters.
2Mg + O 2→2MgO
Molar mass of Mg =24 g
Molar mass of MgO =40 g
No. of moles of O2=6.022×10^20/6.022×10^23
=0.001 mole of O2
No. of moles of Mg=0.486/24
=0.02 moles of Mg
As moles of O 2
are less than 0.01, O 2
is limiting reagent and it is 0.002 moles of MgO is formed.
⇒0.002×40=0.08 g of MgO
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In some situations the actual force of friction for an object at rest is less than the calculated force of friction. Explain why
There are several reasons why the actual force of friction for an object at rest may be less than the calculated force of friction. One possible reason is that the object may be on a surface that is not completely smooth, and the roughness of the surface may reduce the amount of friction between the object and the surface. Another reason is that the object may be moving slightly even when it is at rest due to factors such as air currents or vibrations, which can also reduce the amount of friction. Finally, the force of friction is also affected by the materials that the object and the surface are made of and the temperature and humidity of the environment. All of these factors can affect the actual amount of friction that is present and may cause it to be less than the calculated force of friction.
Fill in the blanks using the appropriate letters from the bottom.
A mass m is attached to an ideal spring with a spring constant k.
It has a period of [tex]T_{A}[/tex]=1.00 seconds measured in Boston, where g=9.80 [tex]m/s^{2}[/tex].
A simple pendulum of mass m and L has the exact same period [tex]T_{B}[/tex] =1.00s right there.
What will happen to the period of (A) the spring-mass system and (B) the pendulum,
A. when they are both moved to the moon; [tex]T_{A}[/tex]___, [tex]T_{B}[/tex]___
B. when they are both moved to the north pole where g = 9.83 m/s2; [tex]T_{A}[/tex]___
,[tex]T_{B}[/tex] ___
C. or when they are both moved to the equator where g = 9.78 m/s2? [tex]T_{A}[/tex]___
, [tex]T_{B}[/tex] ___
Select from below:
A. Stay the same.
B. Reduce by a factor of 6.
C. Increase by a factor of 6.
D. Reduce by a factor of 2.45.
E. Increase by a factor of 2.45.
F. Reduce by roughly 0.1%
G. Increase by roughly 0.1%
The force required to extend or compress a spring, divided by the lengthening or shortening of the spring, is known as the spring constant.
If a vertical is coupled to a mass M, when?A vertical spring with mass M that is attached steadily lowers to its equilibrium position. This causes the spring x to lengthen. Suppose the same thing was still tied to the same vertical spring, but it was allowed to fall suddenly instead.
How can you determine a spring's top speed?The maximum velocity is equal to the amplitude times the angular frequency, or v max=A v max = A, since the sine function oscillates between -1 and +1. The mass is travelling toward x=+A when the maximum velocity occurs at the equilibrium location (x=0).
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Which of the following is not a benefit of stressing
a. Poor circulation
b. Increase speed and power
c.Increased flexibility
d. Minimized change injuries
Poor circulation is not a benefit of stretching.
How many minutes of stretching should a person perform before participating in physical activities?
Stretching for 5 to 10 minutes is probably enough for most activities. It's important, however, to adequately stretch all the muscles you'll be using. Three benefits of stretching before a workout include increased blood flow.
What are the 5 benefits of stretching?
Improve your performance in physical activities.Decrease your risk of injuries.Help your joints move through their full range of motion.Increase muscle blood flow.Enable your muscles to work most effectively.Improve your ability to do daily activities.Which benefit comes with flexibility?
Activities that lengthen and stretch muscles can help you prevent injuries, back pain, and balance problems. A well-stretched muscle more easily achieves its full range of motion.
Thus, poor circulation is the correct option.
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disregarding air drag, how fast must you toss a ball straight up in order for it to take 2 seconds to return to the level from which you tossed it?
The ball should be tossed with speed 10 m/s in order for it to take 2 second to return to the level from which it was tossed.
The Time of flight of projectile motion is defined as the total time taken during ascent and fall to the ground.
Here, time of flight is given 2 seconds. So, Time of ascent is 1 second. Time of ascent is time taken to reach the highest height.
We have to apply the formula
v= u +at
At the maximum height, v =0 m/s.
0 = u - 10×1
So, u = 10 m/s
So, our answer depends on the value of g. If we take the value of g as 9.8, then speed required will be 9.8 m/s
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A tow truck pulls a 1225 kg car and accelerates at a rate of 3 m/s^2. What
is the force of the tow truck?
F = ma
Answer:
[tex] \huge{\boxed{3675 \: N}} [/tex]
Explanation:
The force acting on the tow truck can be found by using the formula
[tex] \bold{F = mass × acceleration} [/tex]
From the question
mass = 1225 kg
acceleration= 3 m/s²
F = 1225 × 3 = 3675
We have the final answer as
3675 N
a. If there is to be no relative motion between the train and the edge of the platform, how fast must
the train move compared to the rim speed of the rotating platform?
b. Why is the stairway located at the center of the platform?
2. The design below shows a train that makes round trips from Station A to Station B in a
continuous loop.
a. How is the size of the round platform and train speed related to the amount of time that
passengers have for boarding?
b. Why would this rotating platform be impractical for high-speed trains?
CONCEPTUAL PHYSICS
Train must move with equal speed as of platform in opposite direction i order to maintain zero relative velocity.
What is velocity?Velocity is the speed in which something move in a paticular Direction.
From the question it is given that
relative velocity between platform and train = 0
since relative velocity of train with respect to platform is given by
where, is the velocity of train and is the velocity of platform
⇒ vt = vp
since platform is always at stationary i.e.,
thus train velocity = 0
Therefore, train does not move
If, Platform is moving then train must move with equal speed as of platform in opposite direction.
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the total magnification achieved using a 10× objective lens with a 10× eyepiece lens is 20×.
The given statement that 'The total magnification achieved using a 10x objective lens with a 10x eyepiece lens is 20x' is false.
A stereomicroscope is a good option for viewing large and opaque specimens.
The magnification of eyepiece is either 10x or 15x.
The magnification of objective lens can be 10x, 40x or 100x.
The total magnification is nothing but the multiplication of the magnification of eyepiece and the magnification of objective lens.
Given that, magnification of objective lens is 10x
Magnification of eyepiece lens is 10x
So, the total magnification is,
⇒ 10x × 10x = 100x
But the total magnification is given as 20x.
Thus, the given statement is false.
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when a wave pulse on a string reflects from a boundary, how is the reflected pulse related to the incident pulse
The reflected pulse will be equal to or less than incident pulse when wave pulse on a string reflects from a boundary.
A rigid wall causes an object, like a ball, to bounce back when it is thrown against it. In terms of momentum and energy conservation, the object's "reflection" can be examined. The ball will bounce back at the same speed if the collision between the ball and the wall is perfectly elastic and all incident energy and momentum is reflected. The ball does not bounce back with the same speed if the collision is inelastic because the wall (or ball) absorbs some of the incident energy and momentum.Additionally carrying energy and momentum, waves are reflected by obstacles whenever they come into contact with them. Echoes, radar detectors, and standing waves—which are crucial for musical instrument sound production—are all caused by waves that have been reflected.To learn more about momentum -
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An object is rolled horizontally off a table. It lands on the floor 1 meter away from the base of the table. The height of the table is 2.5m. What is the initial vertical velocity of the object?
The initial vertical velocity of the object is 2.5 m/s .
How to calculate intial velocity?Initial Velocity, denoted as u, is the velocity at time period t = 0. It is the speed at which motion first occurs. There are four equations for starting velocity: (1) The starting velocity is expressed as u = v - at if time, acceleration, and final velocity are given.
Keep in mind that the INITIAL VERTICAL VELOCITY of the projectile is equal to ZERO because it is launched horizontally.
Given,
base =1m
height = 2.5
vertical velocity =2.5/1
The initial vertical velocity of the object is 2.5 m/s .
A projectile's initial velocity has both a horizontal component and a vertical component if it is thrown at an angle to the horizontal. The projectile's displacement horizontally as a result of velocity is shown by the horizontal velocity component (vx).
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a floating leaf oscillates up and down three complete cycles in one second as a water wave passes by. the wave's wavelength is 10 meters. what is the wave's speed?
This water wave passes past while a floating leaf cycles down and up three times in a second. The wave's velocity will be 2 hertz.
What does that mean 2 hertz?Use this illustration The amount of waves that travel through a fixed location in a specific amount of time is known as frequency. The duration of a wave passing is therefore half a second. If so, the rate is 2 Hertz per second. Four Hertz is the frequency if 240 waves per hour are sent.
What does one Hz represent?One cycle per second, or hertz, is the SI unit for frequency (Hz). Cycles per second are represented as a hertz.
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a projective with a mass of 100g and another with a mass of 200g are fired from the same height with identical velocities, which will land first?
The velocity of the object would be 100m/s.
The pace is the directional velocity of an object in movement as an indication of its price of the trade-in role as determined from a specific body of reference and as measured through a selected fashionable of the time.
Speed defines the path of the movement of the body or the object. speed is mainly a scalar quantity. speed is basically a vector amount. it is the rate of alternate distance. it's miles the charge of trade of displacement.
The consistent pace is the rate at which an object travels equal displacements in equal instances. Variable pace it's far the velocity at which an object cuts one-of-a-kind displacements at different instances.
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Please help me!
A motorcycle traveling on the highway at a speed of 80.0 mi/hr passes a car traveling at a speed of 60.0 mi/hr. From the point of view (or frame of reference) of a passenger in the car, what is the velocity of the motorcycle? Write the equation in the form that I have gone over, with subscripts of: m = motorcycle rider, c = car passenger, e = earth, and assume the forward direction is positive.
The velocity of the motorcycle with respect to the passenger in the car is determined as 20 mi/hr.
What is the velocity of the motorcycle?The velocity of the motorcycle is determined by applying the principle of relative velocity.
The relative velocity is defined as the velocity of an object with respect to another observer.
A frame of reference is defined as the reference point or chosen base point in which a measurement is taken.
The relative velocity of the motorcycle is calculated by choosing an observer in the car as the frame of reference.
Mathematically, this formula is given as;
Vr = Vm - Vc
where;
Vm is the velocity of the motorcycleVc is the velocity of the carVr = 80 mi/hr - 60 mi/hr
Vr = 20 mi/hr
Thus, the relative speed of the motorcycle is a function of the speed of the car and the speed of the motorcycle.
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Explain how a convection current can enable a hawk or eagle to soar upward without flapping its wings.
Answer:hope this helps
pleasee i need the brainliest
Explanation: Warm air rises and is replaced by cooler air from the surrounding area. The warm air eventually cools off, falling down and replacing more warm air. This causes a constant upward flow sometimes called a thermal that allows large birds to soar without effort.
what is expansion and contraction of matter?
Answer:
Thermal Expansion and Contraction. THERMAL EXPANSION AND CONTRACTION. Materials expand or contract when subjected to changes in temperature
Explanation:
how does the speed of the water in the constriction compare to the speed of the water in the rest of the pipe?
The speed of water in the constriction is faster when compared to the rest of the pipe.
The venturi effect consists of a physical phenomenon applied in fluid dynamics in which the pressure of flow decreases when there is a constraint in the conduct, accompanied by an increase in velocity of the fluid due to a decrease in cross-sectional area of the conduct.
The constriction is said to have a lower radius when compared to the rest of the pipe.
Applying the equation of continuity, A₁ v₁ = A₂ v₂
where, A is the area
v is the velocity
It is said from the above equation that, if area decreases velocity increases and if area increases velocity decreases, as velocity and area are inversely proportional to each other.
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need urgent help with this!!!! please provide working
Answer:
Heat Loss = Heat Gain
(60 - T) K1 M1 = (T - 10) K2 M2
M1 = metal M2 = liquid
K1 = metal K2 = liquid
(60 - T) K1 * 1 = (T - 60) K2 * 5
60 K1 - T K1 = 5 T K2 - 300 K2
T (5 K2 + K1) = 300 K2 + 60 K1
T = (300 K2 + 60 K1) / (5 K2 + K1)
Need to find largest T
(probably ethanol and iron - you will need to check)
If only 10% of the energy gets passed to the next tropic level, what happens to the rest of the energy?.
Answer:
As little as 10 percent of the energy at any trophic level is transferred to the next level; the rest is lost largely through metabolic processes as heat.
Explanation:
A 5kg block of iron with a specific heat capacity of 450 J/kg °C recieves 0.03 MJ of energy. What is the temperature rise of the iron?
The temperature rise of the iron is 13.33°C
How to calculate temperature in calorimetry?Calorimetry is the science of measuring the heat absorbed or evolved during the course of a chemical reaction or change of state.
The heat gained or released during a calorimetry procedure can be calculated as follows:
Q = mc∆T
Where;
Q = quantity of heat (J)m = massc = specific heat capacity∆T = change in temperatureAccording to this question, a 5kg block of iron with a specific heat capacity of 450 J/kg °C recieves 0.03 MJ of energy. The change in temperature can be calculated as follows:
30,000J = 5 × 450 × ∆T
30000 = 2250∆T
∆T = 30000 ÷ 2250
∆T = 13.33°C
Therefore, 13.33°C is the temperature rise.
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A figure skater is spinning slowly with arms outstretched. Shebrings her arms in close to her body and her moment of inertiadecreases by 1/2. Her angular speed increases by a factor of
A. 2
B. 1
C. 4
D. square root of 2
E. 1/2
The angular speed increase by a factor of 2 i.e. option (a). 2 is correct
The rate of change of angular displacement is referred to as angular speed. Radian per second is used to measure angular speed. Both angular velocity and angular speed are represented using the same formula.
Utilizing the angular momentum conservation law,
Li = Lf
Thus ,Li is the initial angular momentum and Lf the final angular momentum are, respectively.
L = IW, where I is the inertia momentum and W is the angular velocity, can also be used to determine angular momentum.
so, [tex]IiWi = IfWf[/tex]
[tex]L_{f} =\frac{1}{2} L_{i}[/tex]
According to the given condition, then from above two equation,
[tex]L_{i}W_{f} = \frac{1}{2}L_{i}W_{f}[/tex]
[tex]2W_{i} = W_{f}[/tex]
Thus the angular speed of the skater is factor of 2.
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