The energy can neither be created nor destroyed. It can be transformed from one form to another.
The law of conservation of energy states that, the total energy of an isolated system remains constant and it is said to be conserved over time. This means that the system always has the same amount of energy unless added from outside.
In the above question, it is asked if law of conservation of energy can be applied on a roller coaster. The answer is yes. On a roller coaster, energy changes from potential to kinetic and back again repeatedly over and over the course of the ride.
The two forms of energy which are important on a roller coaster are gravitational potential energy and kinetic energy. The roller coaster has the greatest amount of potential energy at the top of the first hill as it is the highest point of the roller coaster.
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4. You take a running leap from a diving board at 1.5 m/s and hit the water 1.5 seconds later. How far (horizontally) from the diving board did you land?
Answer:
[tex]\huge\boxed{\sf S = 2.25\ m}[/tex]
Explanation:
Given data:Speed = v = 1.5 m/s
Time = 1.5 s
Required:Distance = S = ?
Formula:S = vt
Solution:S = (1.5)(1.5)
S = 2.25 m[tex]\rule[225]{225}{2}[/tex]
when two sources of waves with the same frequency are active, what must the path length difference be at some point in space for the waves to interfere destructively?
The path difference for destructive interference is 2n/x.
When waves from two different sources collide, two-point source interference occurs. If the wave source generates circular waves, the wavefronts will collide within the medium and create a pattern. The nodal and antinodal lines, also known as antinodal lines and nodal lines, are what give the pattern its distinctive appearance. The exact center of the pattern will have an antinodal line, with nodal and antinodes alternating to the left and right of it, if the wave sources have identical frequencies.[tex]I=iA+iB+iC+iD+.............[/tex]where I is the net interference.To study about antinodes -
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Why is the milky way galaxy not expanding together with the rest of the universe?.
Answer:
The reason why the Milky Way is not expanding together with the rest of the universe is because local gravity dominates over the expansion of the universe. (The expansion of the universe is a relatively weak force acting throughout the universe).
Explanation:
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An accelerator laboratory is considering using a solid-state detector as part of a high-energy experiment. What would be an advantage of using a solid-state detector?.
An accelerator laboratory is considering using a solid-state detector as part of a high-energy experiment, it converts part of the particles energy directly into electric current this would be an advantage of using a solid-state detector.
What is solid-state detector?Radiation detectors that use a semiconductor material as the detecting medium are known as solid-state semiconductor detectors. When these detectors come into contact with ionising radiation, they generate a pulse of electric current using pairs of charge carriers, electrons and holes.
It converts part of the particles energy directly into electric current, this would be an advantage of using a solid-state detector.
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Two students are running across country race. One has a mass of 60 kg, while the other has a mass of 68 kg if they are both running with a speed of 7 m/s which has more momentum? Why?
Answer:
The second student with mass 70kg has more momentum
Explanation:
Using the formula:
p = m × v
Where;
p = momentum (kgm/s)
m = mass (kg)
v = velocity (m/s)
According to this question, two students are running in a cross country race.
Student 1 has the following; m = 60kg, v = 7m/s
Student 2 has the following; m = 70kg, v = 7m/s
Using p = mv
Student 1, p = 60 × 7 = 420 kgm/s
Student 2, p = 70 × 7 = 490 kgm/s
From the result of the above calculations, student 2 with mass 70kg has more momentum.
2. A force of 20N stretches a spring by 0.5m. The spring obeys Hooke’s law.
a. Calculate the spring constant including a suitable unit. 1
b. How much force must a man use to stretch it by 1.5m?
a. The spring constant of the spring be 40 N/m.
b. To stretch it by 1.5 m, required force be 60 N.
What is Hooke's law?In accordance with Hooke's law, a principle of elasticity, for relatively minor deformations of an object, the displacement or size of the deformation is directly proportional to the deforming force or load When the load is removed under these circumstances, the object resumes its original size and shape.
According to Hooke's rule, solids behave elastically when their constituent molecules, atoms, or ions move slightly from their normal places. This movement is proportional to the force that caused it.
a. The spring constant of the spring be: k = 20 N/0.5m = 40 N/m.
b. To stretch it by 1.5 m, required force = 40×1.5 N = 60 N.
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a book is being pushed to the right across a desk at a constant speed. name the force depicted by the leftward arrow.
The force depicted by the leftward arrow will be the force of friction.
What is friction?Friction is a force that opposes relative motion between surfaces in contact.
Types of frictionIf two surfaces are in contact and moving relative to one another, then the friction between them is called kinetic friction. When objects are stationary, static friction can act between them; the static friction is usually greater than the kinetic friction between the surfaces.
When a book is pushed to the right across a desk at constant speed, the force of friction will act in the opposite direction to try and stop the opposition of the motion of the book.
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joe and bill are playing tug-of-war. joe is pulling with a force of 200 n. bill is simply hanging on to the rope. neither person is moving. what is the tension of the rope?
The solution indicates that the rope's tension is 200 N this is because of the static equilibrium.
What exactly is static equilibrium?Dynamic equilibrium is a state in which bodies are moving at a constant speed, as opposed to static equilibrium, which is a state in which bodies are at rest (rectilinear motion). The total amount of forces acting on them is 0 in both situations.
What is the static equilibrium equation?the total of all external forces that affect the body, where m is its mass and is the linear acceleration of its centre of mass The constant acceleration is zero when everything is in balance.
According to the given information:F is the force with which Joe pulls (200 N)
F′ is the force with which Bill holds on to the rope
T is the tension of the rope to the right
T′ is the tension of the rope to the left
The system created by Joe, the rope, as well as Bill is said to be in static equilibrium if it does not move, in which case both velocity of the object are zero.
Let's say we cut the rope in an idealized manner to demonstrate the tensions and internal forces.
Applying the idea of the horizontal forces' sum being equal to zero, which is the first requirement of static equilibrium with respect to the X-axis.
∑Fx = 0
T - F = 0
T = F
= 200 N
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If a wheel tart from ret what i the angular velocity after 4. 20 ha elaped, auming the force i acting during that time?
For finding angular velocity, we need angular displacement Ф or angular acceleration α. In this question, the information provided is only time elapsed. So, with a given input, angular velocity can't be calculated.
Angular velocity is a measure of rotational rate. This gives how fast an object is moving about an axis. It is represented by the symbol ω (omega). It is a measure of angular displacement per unit of time.
Angular velocity = Angular displacement/time
ω = Ф /t
Angular displacement is the angle made during rotation per unit of time. Angle is measured in radians.
There is a relation between angular velocity and linear velocity.
v = r. ω
means. linear velocity = radius × angular velocity
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A book at rest on the table has a weight of 8N. At what rate the book is accelerating?
Answer:
.8163 kg
Explanation: W=mg
The newtons = weight
Force due to gravity= 9.8m/s ^2
8N=m(9.8m/s^2)
M= .8163 kg
What term is used to describe how things behave and is usually expressed in mathematical terms
Answer:
a 'Law'
Explanation:
Newton's laws of motion
Charles' Law etc
The term "law" is used to describe how things behave and is usually expressed in mathematical terms.
What are scientific laws?Scientific laws or laws of science are propositions that describe or forecast a variety of natural occurrences and are based on repeated tests or observations.
All branches of natural science use the word "law" in a variety of contexts (approximate, accurate, broad, or narrow) (physics, chemistry, astronomy, geoscience, biology). All laws are directly or indirectly dependent on empirical facts, and they are developed from data and can be further developed through mathematics.
It is generally accepted that they are discovered rather than invented and implicitly represent causal links that are fundamental to reality even though they do not expressly declare them.
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suppose you have two negative point charges. as you move them farther and farther apart, the potential energy of this system relative to infinity:____.
Take the case where you have additional opposite unit charges. The potential energy of such a system with respect to infinity decreases as they are moved apart further and further.
What is potential energy defined as?Potential energy is a type of stored energy that depends on the relative locations of various system components. A spring's potential energy increases when it is stretched or compressed. When a steel ball is lifted above the earth's surface as opposed to being brought to it, it has far higher potential energy.
Which of these three forms of energy has potential?Stones poised on an edge of the cliff contain potential energy. If the stones fall, the stored energy will become kinetic energy. Branches high on the tree have had the potential to fall, which provides them life. The food we consume contains chemical potential energy.
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A block is pushed across a 10 m rough surface quickly by a boy. Which of the
following would not increase the power needed by the boy to move the block?
A)Decrease the time of the block slid
B)Increase the mass of the block
C)Increase the time of the block was slid
D)Increase the roughness of the surface
Answer:A
Explanation:i got it right
4. How (about) far from San Francisco is the epicenter that you found? What would the
difference in arrival times of the P waves and S waves be for a recording station in San
Francisco?
To calculate the distance from the earthquake to the station, divide the arrival times of the P and S waves. Calculate the separation between the initial P and initial S waves. The first P and S waves in this instance are separated by 24 seconds.
Where is the earthquake's hypothetical epicenter, Grade 10?The beginning of the earthquake's rupture is where the epicenter of a hypothetical earthquake is situated. The epicenter is the location that is directly above the Earth's surface.
Where exactly is the epicenter?The focal point is the location where an earthquake begins within the crust of the Earth. The epicenter is a location on the surface of the Earth that is directly above the focus.
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An electric appliance is connected by wires to a 240-volt source of voltage. If the combined resistance of the appliance and wires is 12 ohms, how much current is flowing through the circuit?
Answer:
Below
Explanation:
Basic equation
V = IR
solve for I
V / R = I
240 / 12 = 20 amps
what is the maximum kinetic energy of the photoelectrons when light of wavelength 300 nm falls on the same surface?
The Maximum Kinetic energy of the photoelectrons is 3.84 x 10⁻¹⁹J.
In response to light, the photoelectric effect produces photo electrons. By absorbing electromagnetic radiation, the photoelectric effect causes free electrons to be released from the surface of metals photons. Photo electrons are the emitted electrons in question. With the aid of Einstein's photoelectric equation, the query can be answered.When the incident frequency exceeds or is equal to the threshold frequency, photo electrons are only released. The kinetic energy of the light will be negative, which is not possible, if the threshold frequency is higher than the incident frequency. Work function value is always positive.[tex]E=hv[/tex]energy for one electron is 3.84 x 10⁻¹⁹J[tex]x=\frac{hC}{E}[/tex]After substituting all values i.e h= 6.6 x 10⁻³⁴, C=3 x 10⁸, E=3.84 x 10⁻¹⁹J , we get x=518nm.So , E=3.84 x 10⁻¹⁹JTo learn about Work function -
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16. when the pressure at the hose valve outlet exceeds a predetermined pressure, how are fire fighters in most jurisdictions alerted of the high pressure?
Warning signs are fire fighters in most jurisdictions alerted of the high pressure.
How is a fire suppression system designed to operate?By taking away heat or oxygen or by interfering with chemical reactions, suppression agents put out fires. When the system is turned on, the agent moves from the cylinder to the safe area either directly through the detection tube or via hoses and nozzles that are connected to it.
The Most Popular Styles of Fire Suppression Equipment
Systems for putting out fires that use water. Chemical Foam Suppression Systems, Pneumatic Heat Detection Tubes, Pressurized Gas Systems, Foam Deluge Systems, and Water Extinguishing Systems are some of the most popular fire protection systems.
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What does the amplitude of sound refer to?
the sound’s volume
the sound’s frequency
the sound’s duration
the sound’s pitch
The amplitude of sound refers to the sound’s volume or loudness.
What is amplitude of sound?A sound wave's amplitude measures the height of the wave. When a sound is made, the maximum displacement of the medium's vibrating particles from their mean position determines the amplitude of the sound wave. It is the separation between the wave's crest or trough and its mean location.
The relationship between loudness and sound amplitude is straightforward. A sound wave's amplitude determines how loud it will be; the larger the amplitude, the louder the sound. The sound will be weak if the amplitude is minimal.
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consider a conductor at rest in a static electric field. which statement is true about how the conductor interacts with the electric field?
Option (a) is Correct. Take a look at a static electric field around a conductor at rest. then the conductor's internal electric field is exactly zero.
Electrons are free to move in a conductor. If they are subjected to a force, they will move faster in that direction. A force F = -eE acts on each free electron when a conductor is exposed to an external electric field. Electrons gain speed and accelerate in the direction that is the opposite of the field. There are no closed loops formed by electric field lines.
Because electric field lines begin with positive charge and conclude with negative charge, the assertion is accurate. A loop can never be closed since the starting and ending points of the electric field lines are different. Charges that are free to move are present in conductors. Charges in a conductor react swiftly to attain a constant state known as electrostatic equilibrium when an excess of charge is applied to the conductor or the conductor is placed in a static electric field.
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Correct Question:
Consider a conductor at rest in a static electric field. Which statement is true about how the conductor interacts with the electric field?
A. The electric field inside the conductor is exactly zero.
B. Any net charge on the conductor is distributed evenly throughout the volume of the conductor.
C. The electric field is parallel to the surface of the conductor at all points along its surface.
D. The electric field lines pass through the conductor unaffected by its presence.
A ball of mass 0.440 kg moving with a speed of 3.70 [m / s] collides head-on with a 0.220 [kg] ball at rest. If the 0.440 [kg] ball moves at 1.23 [m / s] in its original direction, what is the speed of the 0.220 [kg] ball after the collision?
Answer: 3.0 m/s
Explanation:
Conservation of momentum: total momentum before collision = total momentum after collision
momentum = p = mv
(0.440 kg)(3.70 m/s) + (0.220 kg)(0.0 m/s) = (0.440 kg)(1.23 m/s) + (0.220 kg)(x)
Solve for x, speed of the 0.220 kg ball after the collision:
1.628 + 0 = 0.54x
x = 1.628/.54 = 3.0 m/s
2. suppose that a 1000 kg car is traveling at 25 m/s (55 mph). its brakes can apply a force of 5000 n. what is the minimum distance required for the car to stop?
The minimum distance required by the car to stop a 62.5 m.
The mass of the car is given to be 1000 kg and it is travelling at a speed of 20 the brakes are applied by the car that is producing force of 5000 Newton.
Firstly the negative acceleration produced in the car will be,
F = Ma
M is the mass of the car,
F is the force appoint by the brakes and,
a is the negative acceleration.
Putting values,
5000 = 1000(a)
a = 5m/s².
So, the negative acceleration produced by the brakes is 5m/s².
The minimum distance required by the car to stop will be given by other relation,
D = U²/2a
Where, U is the initial speed of the car,
Putting values,
D = 25×25/2×5
D = 62.5m.
So, the stopping distance of the car will be 62.5 m.
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light from a helium-neon laser is shined on a slid of width .02 nm. describe qualitatively the pattern of light seen on a screen 1 meter away
A series of smaller spots are spaced out on either side of the pattern's central, larger spot.
What is a helium-neon laser used for?When compared to other gas lasers, helium xenon lasers are inexpensive and straightforward to operate. They have a long history of employment in numerous industries, including holography, biomedical engineering, metrology, spectrometry, optical disc reading, barcode scanning, and microscopy.
How does the helium-neon laser operate?By energizing Neon molecules in the atmosphere, a He-Ne laser produces light. The Neon particles decay from a higher energy state to that of an ordinary state, producing the 632.8 nm optic light that the laser emits. For the given basic research, a comprehensive determination of quantum (state) is not necessary.
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a girl helps her younger brother swing at a playground. initially, the swing is 0.34 m from the ground. the girl pulls back on the swing until it reaches a height of 1.08 m from the ground, then she lets go. what is the maximum speed of her brother as he swings? (her brother sits passively in the swing.)
The maximum speed of her brother as he swings is 5.04777 m/s.
Calculation:
conservation of energy
ΔPE = ΔKE
= mg (h₁-h₂) = 1/2= mv²
= v = √2g (h₁-h₂)
= V = √2x9·8 (0.34 - 1.08)
Vmax = 5.04777 m/s
Forces are influences that can change the movement of an object. A force can cause a mass to accelerate, thus changing its velocity. Forces can also be described intuitively by pushing or pulling. The word "force" has a precise meaning.
At this level, it is appropriate to describe the force as pushing or pulling. A force does not contain or have within an object. A force is applied from one object to another. The idea of force is not limited to animate or inanimate objects.
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The maximum speed of her brother as he swings (her brother sits passively in the swing.) is 1.14 m/s
The gravitational potential energy of the brother increases as he is lifted to a higher height. This increase in gravitational potential energy is converted to kinetic energy (the energy of motion) as the brother swings back down and gains speed. The maximum speed will be reached when all of the gravitational potential energy has been converted to kinetic energy.
The change in gravitational potential energy can be calculated using the formula:
ΔE = mgh
where m is the mass of the brother, g is the acceleration due to gravity (9.8 m/s^2), and h is the change in height.
Plugging in the values, we get:
ΔE = mgh = (50 kg)(9.8 m/s^2)(1.08 m - 0.34 m) = 330.8 kg*m^2/s^2
The maximum kinetic energy of the brother can be calculated using the formula:
E = 1/2 * m * v^2
where m is the mass of the brother, and v is the velocity (speed).
To find the maximum speed, we set the kinetic energy equal to the change in gravitational potential energy and solve for v:
E = 330.8 kgm^2/s^2 = 1/2 * (50 kg) * v^2
v = √(2E/m)
= √(2(330.8 kgm^2/s^2)/(50 kg))
= √(66.16/50)
= √(1.3232)
= 1.14 m/s
Thus, the maximum speed of the brother as he swings is approximately 1.14 m/s.
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what’s the moment if there’s a force of 50n and 0.75cm
The moment of the force of 50 N is 0.375 Nm.
What is moment of a force?Moment of a force is the product of force and the perpendicular distance.
To caluclate the moment of the force, we use the formula below.
Formula:
M = Fd.............. Equation 1Where:
M = Moment of the forceF = Force d = DistanceFrom the question,
Given:
F = 50 Nd = 0.75 cm = 0.0075 mSubstitute these values into equation 1
M = 50×0.0075M = 0.375 NmHence, the moment of the force is 0.375 Nm.
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find the potential energy of a 2 kg ball 15 m in the air
Answer:
294 Joules
Explanation:
Use the Potential Energy Formula and plug in the numbers to be 2kg(mass)*15 meters (height above ground)* 9.8(gravitational acceleration of the earth) = 294 Joules
you add information on the x-axis to represent a scale of values for the total electric vehicle sales and on the y-axis to represent the time periods (2015 and 2020). 1 point true false
You add information on the x-axis to represent a scale of values for the total electric vehicle sales and on the y-axis to represent the time periods (2015 and 2020). (False)
What does data analytics "spotlighting" mean?
A technique for displaying discrete thresholds based on the values of a metric is spotlighting. Consider color-coding sales so that those over 10,000 appear in green and those below 10,000 appear in red. A spotlighting calculation is merely another word for a computation that produces a discrete measure.
Keep in mind that the x-axis is one of the axes of a two- or three-dimensional graph. In a graph using a cartesian coordinate system, the x-axis is the horizontal plane that gives each point along the x-axis and y-axis a numerical value.
As a result, using spotlighting, you can quickly identify the most important insights by skimming over the data in light of the aforementioned query. Data analysts can recognize broad, general concepts and messages by using spotlighting.
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the total mass of the hydrogen gas in the hindenburg zeppelin was 18,000 kg. what volume did the hydrogen occupy
Volume occupied by hydrogen gas is ≅ 2.0 × 10⁵ m³.
What is an ideal gas law?
An equation of state that characterizes perfect gases is called the ideal gas law. When explaining how gases will behave under ideal circumstances, this equation of state, which links a gas's pressure, volume, temperature, and mass, is highly helpful. For gases, this is the most typical equation of state.
Given,
Mass of hydrogen, m = 18000 kg
Pressure, P = 1 atm
Temperature, T = 0°c.
Using Ideal gas law, PV = mRT
Where, R = gas constant (R= 4124.4 J/kg-K)
Putting values in the equation
PV = mRT
V = [tex]\frac{mRT}{P}[/tex]
= [tex]\frac{18000kg X 4124.4 J/Kg - K X(0+273) K}{1 atm X 101325 Pa/atm}[/tex]
= [tex]\frac{18000 kg X 4124.4 \frac{N.m}{kg.K}X (0+273) K }{101325 \frac{N}{m^{2} } }[/tex]
= 200022.715 m²
≅ 2.0 × 10⁵ m³.
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jupiter moon lo orbits the plantet at a distance of 421,700 km. what is the way to write the distance
Answer: 4.217 x 10^5 km
What does a distance-time graph represent?
A sloped line on a distance-time graph denotes motion of the item. In a graph of a distance versus time, the line's gradient or slope equals the object's speed. The steeper the line, the faster the thing moves (and the greater the gradient).
How does the acceleration line on a distance-time graph look?If an object's speed changes, it will either be accelerating or decelerating. On a distance-time graph, this can be represented as a curved line. if an object is speeding up or slowing down.
How would a distance-time graph appear?The distance-time graph is a straight line when a body's motion is uniform. The speed of the body is equal to the slope of the distance-time graph.
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how much force is required to accelerate a 15 passenger van weighing 1955kg at a rate of 26.82 m/s^2
Answer:
51,834.1 Newtons.
Explanation:
To find the force required to accelerate an object, you can use the formula force = mass x acceleration. In this case, the force required to accelerate a 15 passenger van weighing 1955 kg at a rate of 26.82 m/s^2 would be 51,834.1 Newtons.