When a ball is thrown horizontally at 25 m/s, it will travel a horizontal distance of 50 m before hitting the ground.
What is distance?Distance is a measurement of the length between two points. It is measured in a variety of units, such as feet, meters, kilometers, and miles. Distance can also be measured in terms of time, such as hours, minutes, and seconds. Distance can also be measured in terms of speed, such as miles per hour or kilometers per hour.
The time it takes the ball to travel this distance can be determined by dividing the distance (50 m) by the velocity (25 m/s). This would give us a time of 2 seconds. The ball will reach a maximum height at the midpoint of its path, which in this case is 25 m. The ball will reach the ground after 2 seconds and will have no remaining horizontal velocity. The ball's vertical velocity will be zero when it hits the ground.
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When a ball is thrown horizontally we can conclude that the distance from where the ball should be thrown is 19.6m.
What is distance?Distance is a measurement of the length between two points. It is measured in a variety of units, such as feet, meters, kilometers, and miles. Distance can also be measured in terms of time, such as hours, minutes, and seconds. Distance can also be measured in terms of speed, such as miles per hour or kilometers per hour.
The time it takes the ball to travel this distance can be determined by dividing the distance (50 m) by the velocity (25 m/s). This would give us a time of 2 seconds. The ball will reach a maximum height at the midpoint of its path, which in this case is 25 m. The ball will reach the ground after 2 seconds and will have no remaining horizontal velocity. The ball's vertical velocity will be zero when it hits the ground.
Due to that,
At 25 m/s, the ball is thrown horizontally.
50 meters are also the horizontal distance.
Considering the information above,
The hour is
= 50 ÷ 25
= 2 sec
Now
h = 0.5gt²
= 4.9(2)²
= 19.6 m
Therefore, we can infer that 19.6m is the height at which the ball should be hurled.
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Complete question -
A ball thrown horizontally at 25 m/s travels a horizontal distance of 50 m before hitting the ground. From what height was the ball thrown?
We call a molecule that binds up excess hydrogen ions in a solution a(n) ________.
We call a molecule that binds up excess hydrogen ions in a solution a "buffer."
What is buffer ?A chemical or a combination of compounds known as a buffer can withstand pH changes in a solution when modest amounts of acid or base are introduced. The solution's excess hydrogen ions (H+) or hydroxide ions (OH-) can be bound up by buffers in order to maintain a pH that is reasonably constant.Since many biological processes are sensitive to pH variations, buffers are crucial in biological systems. For instance, proteins called enzymes, which catalyse biological activities, frequently have a limited optimum pH range in which they perform at their best. Without buffers, even slight pH changes could cause enzymes to denature or becoming inactive, which could harm or interfere with crucial cellular functions.
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why the conduction system is disrupted, and electrical signals move erratically around the atria.?
Any condition that affects conduction system of the heart can cause disruptions in the electrical signals and result in erratic movements around the atria, which can lead to an irregular heartbeat.
The conduction system of the heart generates and coordinates the electrical signals that cause the heart muscle to contract, producing a normal heartbeat. Disruptions to this system can cause the electrical signals to move erratically around atria, leading to an irregular heartbeat.
These disruptions can occur due to several factors, including aging, heart disease, medications, electrolyte imbalances, and genetic factors. Any condition that interferes with normal functioning of conduction system can cause arrhythmias, as electrical signals are no longer coordinated and may move in a disorganized manner around the atria.
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(1) A perfectly fitting pot and its lid often stick after cooking, and it becomes very difficult to open the lid when the pot cools down. Explain why this happens and what you would do to open the lid. (2) If the pressure of a substance is increased during a boiling process, will the temperature also increase, or will it remain constant? Why? (3) A housewife is cooking beef stew for her family in a pan that is (a) uncovered, (b) covered with a light lid, and (c) covered with a heavy lid. For which case will the cooking time be the shortest? Why?
I came across a query asking why a perfectly fitting pot's cover frequently sticks after cooking when it cools down. The solution manual responded that pressure drops off as the temperature rises.
The sole factor influencing the pot before it is heated during cooking is the atmospheric pressure and the food within the pot likewise depends on that pressure. Therefore, the pressure inside the pot is currently at its starting state. The pressure inside the pot rises as it becomes warmer. Temperature rises along with pressure when pressure rises. Boiling is not an isothermal process. Therefore, during the boiling process, if a substance's pressure increases, the temperature will likewise change. As a result, pressure and body temperature are directly related.
In third case, when the pan is covered with a heavy lid, the cooking time will be the shortest. The pressure in the pan is higher when lid is heavier. When pressure is high, the saturation temperature at which water begins to boil will also be high. Additionally, faster cooking results from greater boiling temperatures.
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_______ is an electric current that changes direction in a regular pattern
Answer:
Alternating Current is the current that reverses its direction at regular intervals.
What is the equation for pendulum motion?
The equation for pendulum motion is T = 2π√(l/g), where T represents the period of oscillation, l represents the length of the pendulum, and g represents the acceleration due to gravity.
A pendulum is a simple device consisting of a mass (known as the bob) suspended from a fixed point by a string or rod. When the bob is displaced from its resting position, it swings back and forth in a repetitive motion known as oscillation.
The period of oscillation (T) of a pendulum depends on its length (l) and the acceleration due to gravity (g). The longer the pendulum, the longer the period, and the greater the acceleration due to gravity, the shorter the period.
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Which one of the following properties most fundamentally distinguishes mechanical waves from electromagnetic waves?A. Mechanical waves have crests and troughs. B. Mechanical waves require a medium for propagation. C. Mechanical waves have well-defined wavelengths. D. Mechanical waves move at a finite speed.
All waves have a wavelength, frequency, speed, and amplitude, and they all share the same fundamental features of reflection, refraction, diffraction, and interference. Thus, option B is correct.
What are the properties of different waves?The height (amplitude), frequency, and length of a wave can all be used to characterize it. Any wave can be thought of as an energy-transferring disturbance.
Compared to mechanical waves, electromagnetic waves are different. The electromagnetic waves can move in vacuums since they have the ability, but sound waves and water cannot, so they require a medium to spread.
Electric and magnetic fields oscillate along with electromagnetic waves in a manner that is perpendicular to the direction of propagation.
therefore, Mechanical waves require a medium for propagation.
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What charge will a dust particle have if it loses electrons as it passes through a positively charged grid?
When a substance lose an electron, it becomes positively charged. The dust particle will acquire positive charge when it losses electrons when it passes through the positively charged grid.
What are charged particles ?An atom contains equal number of electrons and protons. Hence, it possess no net charge and being neutral. When the atom lose or gain electrons it becomes ions.
When the atom lose one electron its number of protons dominates over that of electrons and it acquires a positive charge. When the atom gain an electron the reverse happen and it acquires a negative charge.
Here, the dust particle loses its electron to the positive grid thus it will gain a positive charge.
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10.0 Ω
10.0 Ω
9.0 V
9.0 V
What is the voltage in each branch of the
parallel circuit?
The voltage in each branch of the parallel circuit is 9.0 V.
What is a parallel circuit?
A parallel circuit is a type of electrical circuit in which the components are arranged in such a way that they are connected to the same voltage source by separate branches.
In a parallel circuit, each component has its own individual path for electric current to flow, and the total current is equal to the sum of the currents flowing through each branch.
In a parallel circuit, the voltage across each component is the same, but the current through each component can be different.
V1 = V2 = V = 9.0 V
where;
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A 4.0-L balloon at 300 K is placed in a cooler at 245 K. What is the volume of the balloon after it has been in the cooler?Write the
name of the Formula. Write the formula. Show all of your work.
A 4.0-L balloon at 300 K is placed in a cooler at 245 K; the volume of the balloon after it has been in the cooler is 3.27 L, and the formulas are PV = nRT, which is an ideal gas law formula, and then by using V1/T1 = V2/T2, the answer is derived.
What is the calculation for volume?PV = nRT
(P = pressure, V = volume, n = number of moles of gas, R = ideal gas constant, T = temperature)
Suppose, the number of moles and pressure remain constant,
V1/T1 = V2/T2
(V1 = initial volume, T1 = initial temperature, V2 = final volume, T2 = final temperature)
After putting values,
V2 = (V1 x T2) / T1
V2 = (4.0 L x 245 K) / 300 K
V2 = 3.27 L
Hence, the volume of the balloon after it has been in the cooler is 3.27 L, and the formulas are PV = nRT, which is an ideal gas law formula.
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Each different signal in a 1H NMR spectrum represents a different__________of hydrogen atom. Hydrogen atoms that are_______________give the same signal.------------------------------------
Each different signal in a 1H NMR spectrum represents a different type of hydrogen atom. Hydrogen atoms that are equivalent give the same signal.
What is spectrum?In physics, the term "spectrum" refers to the variation in light intensity with wavelength or frequency. A spectroscope is a device created for visual spectral observation, while a spectrograph is a device that captures or maps spectra. Spectra can be categorized based on their types of origin, such as emission or absorption. All the radiations that are emitted by atoms or molecules make up an emission spectrum, whereas, in an absorption spectrum, some wavelengths of a continuous spectrum (light that contains all wavelengths) are absent because they have been absorbed by the medium through which the light has passed; these absent wavelengths are visible as dark lines or gaps.
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A 3. 0-m rod is pivoted about its left end. A force of 10 n is applied perpendicular to the rod at a distance of 1. 2 m from the pivot causing a ccw torque, and a force of 5. 2 n is applied at the end of the rod 3. 0 m from the pivot. The 5. 2-n force is at an angle of 30o to the rod and causes a cw torque. What is the net torque about the pivot? (take ccw as positive. ).
The net torque about the pivot is -0.6Nm
Torque is defined as the perpendicular component of force \times distance from pivot point.
#Tnet = £Ti where £Ti is the torques from different applied forces.
T1 = 6N × 1.2 = 7.2N (+ve, counterclockwise)
T2= -5.2N sin 30° 3m (-ve, clockwise)
= -7.8Nm
Tnet = T1+ T2
= 7.2-7.8
= - 0.6Nm
Hence, the total torque is -0.6Nm
What is torque?
Torque is the spinning counterpart of force.Another name for it is the moment of force (also abbreviated to moment).It serves as an example of how a force can alter a body's rotational motion.Archimedes, who investigated the use of levers, is credited with creating the saying, "Give me a lever and a place to stand, and I shall move the Earth."Similar to how a linear force is either a push or a pull, a torque may be thought of as a twisting of an object about a specific axis.To know more about torque, click the link given below:
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The 800 kg physics dragster is traveling at 35 km/h east when it hits the gas and accelerates at 12.5 m/s^2 for 3.25 s. what is its change in momentum during the time
The change in momentum during the 3.25s acceleration is 28,280 kg m/s.
What is the change in momentum?The change in momentum of an object is given by the product of its mass and its change in velocity, which can be calculated using the equation:
Δp = m * Δv
Where Δp is the change in momentum, m is the mass of the object, and Δv is the change in velocity.
To find the change in velocity, we can use the equation:
v = v0 + at
Where v is the final velocity, v0 is the initial velocity, a is the acceleration, and t is the time interval.
Since the dragster is initially traveling at 35 km/h = 35 * 1000 / 3600 m/s = 9.72 m/s, we can plug in the values to find the final velocity:
v = 9.72 + (12.5)(3.25) = 45.07 m/s
Δv = v - v0 = 45.07 - 9.72 = 35.35 m/s
Now that we have the change in velocity, we can find the change in momentum:
Δp = m * Δv = 800 kg * 35.35 m/s = 28,280 kg m/s
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what property of a telescope influences its resolving power?
The diameter (or aperture) of an optical telescope's objective—the main lens or mirror that gathers and concentrates light—determines its capacity to resolve fine details, while the area of the objective determines its capacity to gather light.
photo of What aspect of a telescope's construction affects its resolving power?A telescope's resolving power can be determined using the following formula: Resolving power is calculated as 11.25 seconds of arc/d, where d is the centimeter-based diameter of the objective.
Which characteristic does resolution depend on while utilising telescopes?The shortest angle at which two near objects may be clearly distinguished as separate is the telescope's angular resolving power (also known as resolution). Due to the wave nature of, resolution is reduced.
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What is the weight of an object with a mass of 20 kilograms on a planet that has an acceleration of gravity of 9. 8 m/s2? (be sure to sure your work. ).
The weight of an object with a mass of 20 kilograms on a planet is 196N
The weight of an object can be calculated as the product of its mass and the acceleration due to gravity. On a planet with an acceleration of gravity of 9.8 m/s^2, the weight of an object with a mass of 20 kilograms can be calculated as follows:
Weight (W) = Mass (m) * Acceleration of gravity (g)
W = 20 kg * 9.8 m/s^2
W= 196 N
So, the weight of an object with a mass of 20 kilograms on a planet that has an acceleration of gravity of 9.8 m/s^2 is 196 N.
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How could you increase the planes drag?
To increase drag force, the plane can have many flaps it can lift vertically, which will help it increase the drag on the airplane, which is useful to help the plane decelerate or roll
What is a drag force?A drag force is a force acting opposite to the relative motion of any object moving with respect to a surrounding fluid. This can exist between two fluid layers (or surfaces) or between a fluid and a solid surface.
To increase drag force, the plane can have many flaps it can lift vertically, which will help it increase the drag on the airplane, which is useful to help the plane decelerate or roll. However, to decrease drag force, the plane needs to be streamlined, in a tear drop shape, but not so much so as to create too much friction drag.
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The 200 kg lift rose to a height of 2 metres in 0.2 minutes. What work did the lift motor do? What is its power?
The power of the lift motor is 330 Watts.
How to determined the work done by the lift motor?The work done by the lift motor can be calculated using the formula for work which is Work = Force x Distance,
where
Force is the lifting force Distance is the vertical distance movedIn this case, the lifting force can be calculated as the gravitational force acting on the lift, which is given by the formula Force = mass x acceleration due to gravity. The acceleration due to gravity is 9.8 m/s^2
So the work done by the lift motor is:
Work = (200 kg) x (9.8 m/s^2) x (2 m) = 3960 Joules
The power of the lift motor can be calculated as the work done per unit time. In this case, the time taken was 0.2 minutes, which is equivalent to 0.2 x 60 = 12 seconds.
So the power of the lift motor is:
Power = Work / Time = 3960 Joules / 12 seconds = 330 Watts.
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what is the wavelength in nanometers of light with a frequency of 7.8 × 1015 hz?
Determine the visible light's wavelength at a frequency of health care - associated x 10 14 Hz. Answer: Given that light has a frequency of 6.24 x 10 14 Khz. We are aware that the speed of light is 3 x 10.
What is a wave's wavelength?
A description of the wave in space that is systematically equivalent to its frequency and governed by the physics of the phenomenon is the wavelength (also known as the wavenumber or wave vector). The lowest traveling wave solutions are sinusoids, and superposition can be used to create more complicated ones.
What distinguishes a wavelength from a comparable point?
Submitted by: Distance between the equivalent positions of two successive waves is known as the wavelength. Two things or particles that are in the same step., points that have performed identical fractions in their periodic motion—are referred to as "corresponding points."
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Waves propagate at 8. 6 m/s along a stretched string. The end of the string is vibrated up and down once every 1. 5 s. What is the wavelength of the waves that travel along the string?.
The speed of the waves on the string is 8.6 m/s, and the frequency of the vibrations that create the waves is 1/1.5 Hz (one vibration every 1.5 seconds).
What are the speed of waves ?We can use the formula for the speed of a wave, v = λf, where v is the wave speed, λ is the wavelength, and f is the frequency.Rearranging the formula to solve for wavelength, we get:λ = v/f
Substituting the given values, we get:λ = 8.6 m/s / (1/1.5 Hz) = 8.6 m/s × 1.5 s = 12.9 meters
Therefore, the wavelength of the waves that travel along the string is 12.9 meters.
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A.
B.
C.
D.
E.
F.
G.
H.
Direction of magnetic field of the conductor is towards left side of the page. Hence option D is correct.
What is Fleming's left hand rule ?Fleming's left hand rule in magnetism states that, hold the fore finger, middle finger and the thumb of the left hand in a mutually perpendicular position. The forefinger represents the direction of the magnetic field, middle finger represents the direction of the current and the thumb indicates the direction of magnetic force on the conductor.
Here,
The figure of a current carrying wire which is placed in a uniform magnetic field is given.
From the figure,
The direction of force and that of current of the conductor are given.
So,
The direction of force is given by the arrow pointing upwards to the page.
The direction of current is represented by the cross sign. The cross sign indicates that it is perpendicularly inwards to the plane of the page.
It is clear that the force and the current are in a mutually perpendicular direction in the figure.
Applying Fleming's Left Hand Rule,
Holding the fingers such that the thumb pointing upwards of the page and middle finger towards inside of the page. So now the forefinger is directed towards left side of the page.
Therefore, the direction of magnetic field is towards the left of the page.
Hence,
Direction of magnetic field of the conductor is towards left side of the page.
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which of the gases has the fastest‑moving molecules, on average, at a given temperature?
Answer:
Explanation:
where is the pic
what is gram to mole?
To convert grams to moles, you need to divide the mass of the substance in grams by its molar mass, which is the mass of one mole of the substance.
The molar mass of a substance is calculated by adding up the atomic masses of all the atoms in its chemical formula.
The formula for converting grams to moles is:
moles = grams / molar mass
The molar mass of a substance is calculated by adding up the atomic masses of all the atoms in a molecule. The atomic masses are found on the periodic table of elements.
For example, the molar mass of water (H2O) is calculated as follows:
2 x the atomic mass of hydrogen (1.008) + 1 x the atomic mass of oxygen (15.999) = 18.015 g/mol
Molar mass is important in chemistry because it allows for the conversion of mass to moles and vice versa. This is useful in determining the amount of a substance needed for a chemical reaction, as well as calculating the concentration of a solution. Additionally, the molar mass can be used to determine the empirical and molecular formulas of a substance.
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what is the wavelength in nanometers of light with a frequency of 3.80 × 1014 hz?
The wavelength in nanometers of light is 789 nm. The result is obtained by dividing the speed of light by the frequency.
How to find the wavelength of a light?Wavelength is the distance between the two successive crests or troughs of a wave. The wavelength of a light can be expressed as
λ = c/f
Where
λ = wavelengthc = speed of light f = frequencyThe scientific data shows that the speed of light is 3 × 10⁸ m/s.
So, we get the wavelength by the formula above.
λ = c/f
λ = 3 × 10⁸/3.80 × 10¹⁴
λ = 0.789 × 10⁸⁻¹⁴
λ = 0.789 × 10⁻⁶ m
In nanometers (10⁻⁹), the wavelength is
λ = 789 × 10⁻³ × 10⁻⁶ m
λ = 789 × 10⁻⁹ m
λ = 789 nm
Hence, the wavelength of the light is 789 nanometers.
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A closed cylindrical tank filled with water has an hemispherical dome and is connected to an inverted piping system as shown in the figure. The liquid on the top part of the piping system has a specific gravity of .8 and the remaining parts of the system are filled with water. If the pressure gage reading at A is 60kPa determine.
- The pressure in pipe B
- The pressure head at the top of the dome (Point C)
The proposed fluid mechanics problem requires more information to compute the pressure in pipe B and the pressure head at Point C.
We must use the hydrostatic equation, the continuity equation, and the information about the specific gravity and pressure gauge reading provided in order to calculate for the pressure in pipe B and the pressure head at the top of the dome (Point C).
It is impossible to offer a conclusive solution to this issue without more details. The size of the tank and piping system, the height difference between various places, and the precise location and orientation of the pressure gauge are all details that would be necessary for a thorough estimate.
For this reason, further information is needed in order to solve the issue and determine the values for the pressure in pipe B and the pressure head at Point C.
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full question
A closed cylindrical tank filled with water has an hemispherical dome and is connected to an inverted piping system as shown in the figure. The liquid on the top part of the piping system has a specific gravity of .8 and the remaining parts of the system are filled with water. If the pressure gage reading at A is 60kPa determine.
- The pressure in pipe B
- The pressure head at the top of the dome (Point C)
Ocean waves can be used to generate energy. Ocean waves are considered which type of resource?A. capitalB. nonrenewableC. perpetualD. renewable
Ocean waves are considered a renewable resource.
What are renewable resources?Renewable resources are natural resources that can be replenished in a relatively short period of time. Unlike nonrenewable resources, such as fossil fuels, renewable resources are not depleted when used and can be replenished naturally. Ocean waves are generated by the wind and can be used to generate energy through wave energy converters, which convert the energy from the ocean waves into electricity. The use of ocean waves for energy generation is considered a renewable energy source because the wind that generates the waves is an endless resource.
Ocean waves are created by the wind blowing over the surface of the ocean, causing the water to move in a repeating pattern known as wave motion. The energy from the wind is transferred to the water, causing it to move up and down in a wave pattern. Ocean waves can vary in size and frequency, with larger waves having more energy and a greater potential for energy generation.
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A student from Sidney, Australia compares the distance he obtained from the 1-st spark mark to the 25-th spark mark, with the similar result of a student who did the experiment in Gaithersburg, Maryland. Both students operated identical setups powered with 60 Hz AC, reported no missing spark marks, and achieved precision of their measurements in four significant figures. What difference in the results was found? Data for the gravity acceleration on the two locations is provided in the text.
The difference in the results is -0.002 m. This means that the distance between the spark marks in Gaithersburg is slightly smaller than in Sidney.
To solve this problem,
d = (n/2) * c * (1/f)
where d is the distance between consecutive spark marks, n is the number of spark marks, c is the speed of light, and f is the frequency of the AC power source.
number of spark marks is the same, which is 25 - 1 = 24.
The only difference between the two experiments is the location, which affects the value of the gravitational acceleration g. The acceleration due to gravity is different in Sidney and Gaithersburg,
According to the data, the acceleration due to gravity in Sidney is 9.81 m/s^2, and in Gaithersburg it is 9.79 m/s^2.
Using these values,
d(Sidney) = (24/2) * 3.00E+8 m/s * (1/60 Hz) * (1/9.81 m/s^2) = 0.606 m
d(Gaithersburg) = (24/2) * 3.00E+8 m/s * (1/60 Hz) * (1/9.79 m/s^2) = 0.604 m
The difference between these distances is,
d(Gaithersburg) - d(Sidney) = 0.604 m - 0.606 m = -0.002 m
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SCIENCE CLASS. answer the following prompt(s):
What do you know about energy and Newton's laws? (5 pts)
What do you wonder about energy and Newton's laws? (5 pts)
The law of conservation of energy and Newton's laws are proved
What are Newton's laws of motion?First Law : Unless a force acts upon a body, it stays at rest or in continual straight-line motion.
Second Law : The rate of change of motion of an object is proportional to the force applied and the object will move in the direction of the straight line in which the force is applied.
Third Law : When two bodies exert force on one another, the direction and amount of the force are opposed.
Given data ,
The law of conservation of energy states that it can neither be created nor be destroyed.
Energy, which is observable in the execution of labor as well as in the form of heat and light, is the quantitative quality that is transmitted to a body or to a physical system in physics. Energy is a preserved resource; according to the rule of conservation of energy, energy can only be transformed from one form to another and cannot be generated or destroyed.
Newton's laws of motion are
First Law : Unless a force acts upon a body, it stays at rest or in continual straight-line motion.
Second Law : The rate of change of motion of an object is proportional to the force applied and the object will move in the direction of the straight line in which the force is applied.
Third Law : When two bodies exert force on one another, the direction and amount of the force are opposed.
Hence , the newton's laws are proved
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The ________ of the microscope carries three or four objective lenses.
The nosepiece of the microscope carries three or four objective lenses.
What does the nosepiece do in a microscope?The component of a microscope that houses the objective lenses is called a turret or rotating nosepiece (can be two or many). The rotation of the objective lenses and assistance in adjusting the magnification power is the crucial function of the nosepiece.
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A skateboarder starts up a 1.0 m high, 30 degree ramp at a speed of 7.0 m/s. The skateboard wheels roll without friction. How far from the end of the ramp does the skateboarder touch down?
The skateboarder touches down 3.8 meters from the end of the ramp while wheels roll out without friction.
What does friction mean?Friction is the force that opposes motion between two surfaces that are in contact with each other. It arises because the microscopic roughness of the surfaces that are in contact, and the interlocking of their asperities causes a resistance to sliding or rolling motion.
Friction can be categorized into two types:
Static friction: This type of friction occurs when two surfaces are at rest relative to each other and a force is applied to start the motion. It opposes the motion until the force applied overcomes the resistance and the motion begins.Kinetic friction: This type of friction occurs when two surfaces are in motion relative to each other. Kinetic friction opposes the motion and reduces the speed of the object until it comes to rest.For example, it allows us to walk, run, and grip objects. However, friction can also cause problems, such as wearing down machinery and causing heat build-up.
Conservation of energy to be used to solve this problem.
At the top of the ramp, all the skateboarder's initial energy is in the form of kinetic energy, and at the bottom, all the energy is in the form of potential energy. Therefore:
[tex]1/2 * m * v^2 = m * g * h[/tex]
where m is the mass of the skateboarder, v is the initial velocity, g is the acceleration due to gravity[tex](9.81 m/s^2)[/tex], and h is the height of the ramp.
Solve this equation for the mass of the skateboarder:
[tex]m = (2 * h) / (g * sin^2(theta))[/tex]
where theta is the angle of the ramp (30 degrees).
Plugging in the given values,
[tex]m = (2 * 1.0 m) / (9.81 m/s^2 * sin^2(30 degrees)) = 2.2 kg[/tex]
Now that the mass of the skateboarder is known, use the kinematic equations to find the distance the skateboarder travels before touching down:
[tex]d = v^2 * sin(2*theta) / g[/tex]
Plugging in the given values
[tex]d = 7.0 m/s * sin(2 * 30 degrees) / (9.81 m/s^2) = 3.8 m[/tex]
Therefore, the skateboarder touches down 3.8 meters from the end of the ramp.
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A 0. 20 kg mass on a horizontal spring is pulled back 2. 0 cm and released. If, instead, a 0. 40 kg mass were used in this same experiment, the total energy of the system would.
The total energy of the system would be the same regardless of the mass of the object. This is because the energy stored in a spring is a function of the displacement of the spring, and not the mass of the object.
What is the energy ?Energy is the capacity to do work. It is the ability to cause change and can take many forms, such as kinetic, potential, thermal, chemical, electrical, nuclear, and gravitational energy. It is essential for life and is found in all parts of nature. Energy is used to power machines, create materials, and to generate electricity. It is also used to heat and cool buildings, to light homes, and to power vehicles. As energy is used, it is converted into another form, such as heat, light, or sound. While energy can be used up, it is never destroyed. It is always transferred or transformed.
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When braking with ABS What is the proper technique?
Braking with ABS, the proper technique are press and hold the brake pedal firmly, allow the ABS to do its job, steer the vehicle, and keep a safe following distance.
When braking with ABS (Anti-lock Braking System), the proper technique is as follows:
1. Press and hold the brake pedal firmly: Keep your foot firmly pressed down on the brake pedal without releasing it.
2. Allow the ABS to do its job: Let the ABS system do its job of pulsing the brakes to prevent the wheels from locking up. You may feel pulsations or vibrations in the brake pedal, but this is normal and indicates that the ABS is working properly. Don't pump the brake pedal, as this can interfere with the ABS system and reduce its effectiveness.
3. Steer the vehicle: Keep the steering wheel steady and avoid any sudden or aggressive movements while braking with ABS. The ABS system helps to maintain steering control by preventing the wheels from locking up, but you still need to steer the vehicle in the desired direction.
4. Keep a safe following distance: Maintain a safe following distance from the vehicle in front of you, especially in slippery or wet road conditions. ABS can help you to slow down safely, but it cannot increase the traction between your tires and the road. So, it's important to adjust your speed and following distance according to the road conditions and traffic around you.
By following these techniques, you can help to ensure maximum safety when braking with ABS. Remember, ABS is a valuable safety feature, but it's not a substitute for safe and responsible driving practices.
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