Answer:
Both particles are subjected to the same electrical force,
The acceleration of the electron will be much greater than that of the proton: F = m a and Mproton / Melectron = 1840
The electron and proton will be accelerated in opposite directions.
what would its landing speed have been in the absence of air resistance? express your answer using two significant figures.
The landing speed of the ball in the absence of air resistance would be 14 m/s.
The landing speed of an object in the absence of air resistance can be calculated by considering the conservation of energy.
The initial energy of the object will be equal to the final energy of the object when it reaches the ground.
A ball falling from a height h with an initial velocity u.
The gravitational potential energy of the ball is given by mgh, where m is the mass of the ball, g is the acceleration due to gravity, and h is the height of the ball.
The kinetic energy of the ball is given by 1/2 mu², where u is the initial velocity of the ball.
At the ground level, the gravitational potential energy of the ball will be zero, and the kinetic energy of the ball will be given by 1/2 mv², where v is the velocity of the ball when it reaches the ground.
mgh + 1/2 mu² = 1/2 mv²
Solving for v, we get:
v = sqrt(2gh + u²)
In the absence of air resistance, the ball will continue to fall with an acceleration of g. Therefore, we can assume that the initial velocity u is equal to zero. Thus, the equation reduces to:
v = sqrt(2gh)
g = 9.8 m/s², we can calculate the landing speed of the ball for a given height h. For example, if the ball is dropped from a height of 10 meters, then the landing speed of the ball will be:
v = sqrt(2gh) = sqrt(2*9.8*10) = 14 m/s
Therefore, the landing speed of the ball in the absence of air resistance would be 14 m/s.
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skateboarder begins down a ramp at a speed of 1.0 m/s. after 3 seconds, her speed has increased to 4.0 m/s. calculate her acceleration
The acceleration of the skateboarder while going down the ramp is found to be 1m/s².
The skateboarder began to go down the ramp and that at a speed of 1.0m/s. After 3 seconds it is found that the speed of the skater is increased to 4.0m/s.
We can use the equation,
V = U+at, where, V is final speed, a is acceleration, t is time and U is initial speed.
Putting all the values,
4 = 1 +a(3)
a = 3/3
a = 1m/s²
The acceleration of the skateboarder is 1m/s².
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a double-slit with slit a width of 0.15 mm is placed 2.3 m from a viewing screen. how far is the first dark fringe from the middle screen when a light of wavelength 450 nm falls on the double-slit?
The first dark fringe is located approximately 7.35 mm from the central maximum on the screen.
The location of the first dark fringe can be found using the formula:
y = (mλD) / d
where y is the distance from the central maximum to the first dark fringe, m is the order of the fringe (m = 1 for the first dark fringe), λ is the wavelength of light, D is the distance from the double-slit to the screen, and d is the slit spacing (which is the sum of the slit width and the distance between the centers of the two slits).
The slit width is given as 0.15 mm = 0.00015 m, and the wavelength of light is 450 nm = 0.00045 m. The distance from the double-slit to the screen is 2.3 m.
To find the slit spacing, we need to know the distance between the centers of the two slits. If the double-slit is a single piece with two slits, the distance between the centers of the slits is usually given as the width of the slits plus the distance between them. If this information is not provided, we can assume that the distance between the centers of the slits is approximately equal to the width of each slit. Therefore, we can estimate the slit spacing as:
d ≈ 2 × 0.00015 m = 0.0003 m
Substituting the values into the formula, we get:
[tex]y = (1 × 0.00045 m × 2.3 m) / 0.0003 m[/tex]
y ≈ 7.35 m
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describe an experiment you could perform to determine if the mass of a cart has any effect on the amount of energy needed to overcome friction
Answer:
You can perform an experiment to determine if the mass of a cart has any effect on the amount of energy needed to overcome friction. To do this, you will need a cart, something to put on the cart to increase its mass, a surface with a known coefficient of friction, a ruler or measuring tape, and a scale.
First, measure the distance the cart needs to travel over the surface. Then, measure the mass of the cart without any additional weight. Place the cart at the starting point of the measured distance and release it, timing how long it takes to travel the measured distance. Record this time and repeat this step three times.
Next, add a known mass to the cart and repeat the experiment, measuring how long it takes for the cart to travel the measured distance. Record this time and repeat this step three times. Finally, compare the times for the cart with and without the additional weight and note any differences.
This experiment can be used to determine if the mass of a cart has any effect on the amount of energy needed to overcome friction.
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(a) which draws more current, a 100-w light bulb or a 75-w bulb? (b) which has the higher resistance, a 100-w light bulb or a 75-w bulb?
The final answer are resistance of a circuit is directly proportional to the power rating of the bulb. As a result, a 75-watt light bulb has a higher resistance than a 100-watt light bulb.
(a) A 100-watt light bulb draws more current than a 75-watt light bulb.
(b) A 75-watt light bulb has a higher resistance than a 100-watt light bulb. The current drawn by a circuit is directly proportional to the applied voltage and inversely proportional to the resistance of the circuit, as per Ohm's law.
As a result, the resistance of the light bulb can be determined by measuring the current flowing through it and the voltage across it. The resistance of a circuit is defined as the ratio of the voltage applied to the circuit to the current flowing through it.
Therefore, if we look at the above question, since the power of the bulb is proportional to the product of voltage and current, we can say that a 100-watt bulb would draw more current than a 75-watt bulb. This is due to the fact that the current drawn by the bulb is proportional to the power that the bulb can handle.
However, the resistance of a circuit is directly proportional to the power rating of the bulb. As a result, a 75-watt light bulb has a higher resistance than a 100-watt light bulb.
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two 1.5 v batteries are connected in series with a 132.5 ohm resistor. what is the current in the circuit in ma units?
The given circuit has two 1.5 V batteries connected in series with a 132.5-ohm resistor. The task is to calculate the current in the circuit in milliamps (mA). Let's solve this problem step by step.
Step 1: Find the equivalent voltage of the batteries connected in series.
Voltage of one battery is 1.5 V
Total voltage = Voltage of Battery 1 + Voltage of Battery 2
Total voltage = 1.5 V + 1.5 V = 3 V
Step 2: Calculate the current in the circuit using Ohm's law, V = IR.
I = V/R
I = 3 V/132.5 Ω
I = 0.0226 A
Since the current is in Amperes (A), we have to convert it into milliamperes (mA).
1 A = 1000 mA0.0226 A = 22.6 mA
So, the current in the circuit is 22.6 mA.
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measurements show a certain star has a very high luminosity (100,000 x the sun's) while its temperature is quite cool (3500 k). how can this be?
The star might be quite large in size, with a much larger surface area than the sun. This would increase its luminosity despite its cooler temperature.
The star has a high luminosity (100,000 x the sun's) and a cool temperature (3500 K) because of its size.
A star's luminosity is proportional to its size, so if a star is very large, it can have a high luminosity even if it is relatively cool.
Another possibility is that the star is in a phase of its life cycle where it has expanded and cooled, such as a red giant or supergiant, but still retains a high luminosity due to its large size.
These stars have relatively low surface temperatures, but their large sizes give them very high luminosities.
Therefore, this star is likely very large and thus has a very high luminosity despite its low temperature.
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Valdez notices that a wooden door in his house is difficult to open in the summer, but not in the winter. Valdez explains to Tony that the temperature of the door changes throughout the year. Tony says there is no way to measure the temperature of a solid because solids do not have a lot of thermal expansion. Valdez disagrees. Develop an argument supporting or opposing Tony's claim.
Explanation:
Tony's claim that solids do not have a lot of thermal expansion is partially true, but it is not entirely accurate. All materials, including solids, do undergo some degree of thermal expansion or contraction when their temperature changes. However, the amount of expansion or contraction varies depending on the material's coefficient of thermal expansion (CTE), which measures the material's response to temperature changes.
Some materials, like metals, have a high CTE and undergo significant expansion or contraction when their temperature changes. On the other hand, materials like ceramics and glasses have a low CTE and undergo relatively little expansion or contraction. Wood, which is the material used to make the door in Valdez's house, has a moderate CTE, meaning it undergoes some degree of expansion or contraction with changes in temperature.
Therefore, Valdez's argument is valid. The wooden door in his house experiences thermal expansion in the summer due to the higher temperatures. As the temperature increases, the particles in the wood gain kinetic energy, move faster, and create more space between each other, which results in the door expanding. Conversely, in the winter, the lower temperatures cause the particles in the wood to lose energy, move slower, and become closer to each other, which results in the door contracting.
In conclusion, while Tony's statement is correct in that solids do not have a lot of thermal expansion compared to liquids or gases, all solids, including wood, do experience some degree of thermal expansion or contraction due to changes in temperature.
how large must the coefficient of static friction be between the tires and the road if a car is to round a level curve of radius 150 m m at a speed of 121 km/h k m / h ?
The coefficient of static friction, μs, between the tires and the road needs to be greater than the centripetal acceleration divided by the gravitational acceleration.
In this case, the centripetal acceleration can be calculated as ac = [tex](v^2)/r[/tex], where v is the speed and r is the radius of the curve. Therefore, the required coefficient of static friction μs = ac/g, where g is the gravitational acceleration, should be greater than μs = [tex](121 km/h)^2[/tex] / (150m) / [tex]9.81m/s^2[/tex] ≈ 0.93.
This means that the coefficient of static friction should be greater than 0.93 in order for the car to be able to round a level curve of radius 150 m at a speed of 121 km/h. This coefficient of static friction is necessary to counteract the centripetal force, allowing the car to round the curve without slipping.
If the coefficient of static friction is not large enough, the car will not be able to round the curve at the speed specified.
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Questions are in photo. Need actual answers and worked out. Pls and thank you.
Based on the above, 3.75 x 10¹² electrons have been added to the glass rod.
What is the electrons about?To determine the number of electrons added to the glass rod, we need to know the charge of a single electron. One electron has a charge of -1.6 x 10⁻¹⁹ C.
Charge added to the glass rod = -0.6 μC = -0.6 x 10-⁶ C
Number of electrons added to the glass rod = (charge added to the rod) / (charge of a single electron)
Number of electrons added to the glass rod = (-0.6 x 10⁻⁶ C) / (-1.6 x 10⁻¹⁹C) = 3.75 x 10¹² electrons
Therefore, 3.75 x 10¹² electrons have been added to the glass rod.
For the second question, we can use Coulomb's law to determine whether the pith ball and metal plate are attracted or repulsed. Coulomb's law states that the force between two point charges is proportional to the product of their charges and inversely proportional to the square of the distance between them where
The force between the pith ball and the metal plate is:
F = k x q1 x q2 / r²
Pugging the value in the formula, the answer will be: F = -0.135 N.
The negative sign indicates that the force is attractive, so the pith ball and metal plate are attracted to each other.
For the third question, the force on the negatively charged object from problem 2 is 0.135 N, in the direction towards the positively charged pith ball.
For the fourth question, the force on the positively charged object from problem 2 is also 0.135 N, in the direction towards the negatively charged metal plate.
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See text below
You rub a glass rod with a piece of fur. If the rod now has a charge of -0.6 μC, how many electrons have been added to the rod?
A suspended pith ball possessing +10 μC of charge is placed 0.02 m away from a metal 'plate possessing -6 μC of charge. Are these objects attracted or repulsed?
What is the force on the negatively charged object from problem 2?
• What is the force on the positively charged object from problem 2?
a new block of mass m is used. this block is made of a material that makes an elastic collision with the rod when the block and rod collide. will the hiehgt h increase, decrease, or stay the same?
The height h will stay the same when a new block of mass m is used and makes an elastic collision.
Thus, the correct answer is to stay the same.
What is an elastic collision?An elastic collision is a type of collision in which the total kinetic energy of two or more bodies involved in the collision is conserved. In this collision, the colliding bodies return to their initial state before the collision. That is, the total momentum and kinetic energy are conserved.
As a result, the initial and final energies of the system remain the same, implying that the height of the rod will stay the same as before. So, the height h will stay the same.
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if a 2000-kg car traveling at 30 m/s hits a wall and comes to a complete stop in 0.03 seconds, how much force was applied to the car?
If a 2000-kg car traveling at 30 m/s hits a wall and comes to a complete stop in 0.03 seconds the force that was applied to the car is 6,000,000 N
The force applied to the car can be calculated using the formula:
Force = (mass x change in velocity) / time
Here, the mass of the car is 2000 kg, the initial velocity is 30 m/s, the final velocity is 0 m/s (since the car comes to a complete stop), and the time taken is 0.03 seconds.
Substituting these values, we get:
Force = (2000 kg x (0 m/s - 30 m/s)) / 0.03 s
Force = -6,000,000 N
The negative sign indicates that the force is acting in the opposite direction to the motion of the car. So, the force applied to the car by the wall is 6,000,000 N.
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4. if the electric field of an electromagnetic wave is oscillating along the z-axis and the magnetic field is oscillating along the x-axis, in what possible direction is the wave traveling?
The possible direction in which an electromagnetic wave is traveling if the electric field is oscillating along the z-axis and the magnetic field is oscillating along the x-axis is the y-axis.
An electromagnetic wave is composed of two mutually perpendicular fields that oscillate perpendicular to the direction of the wave's propagation. They are the electric field and the magnetic field. An electromagnetic wave is created when a charged particle is accelerated. These waves can travel through a vacuum or any medium, including air and water, at the speed of light.
In this scenario, the electric field of the wave oscillates along the z-axis, while the magnetic field oscillates along the x-axis. As a result, the wave's propagation direction must be perpendicular to both fields. As a result, the wave must be propagating along the y-axis.This is why it's critical to comprehend the interplay between electric and magnetic fields in the context of electromagnetic waves.
It's also critical to recognize that an electromagnetic wave's direction of propagation is always perpendicular to the oscillation directions of the two fields, which are mutually perpendicular to each other.
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two balls are connected to 60-cm-long light strings and the other ends of the strings are fixed together as shown in the figure. one of the balls has a mass of 2.0 kg and is raised up and to the right until it is 12.0 cm higher than the other ball, which has a mass of 3.0 kg. the upper ball is released from rest and sticks to the lower ball when they collide. for the subsequent motion find the:
According to the question the speed of the balls just before they collide is 1.81 m/s.
What is collide?Collide is a term used to describe the process of two objects or particles coming into contact with each other, often resulting in a collision. In physics, the term is used to refer to the force of two objects impacting one another. In everyday language, the term is used to describe two things, such as people or ideas, coming together in a way that produces a powerful impact.
The initial energy of the system can be calculated as:
[tex]E_{initial[/tex] = m₁*g*h + 0
where m_1 is the mass of the upper ball (2.0 kg), g is the acceleration due to gravity (9.8 m/s²), and h is the vertical distance between the two balls (12.0 cm).
The final energy of the system can be calculated as:
[tex]E_{final} = (m_1 + m_2)\times v^2[/tex]
where m_1 and m_2 are the masses of the two balls (2.0 kg and 3.0 kg, respectively), and v is the velocity of the lower ball when the two balls stick together.
From these equations, we can solve for v:
[tex]v = sqrt[(m_1\timesg\timesh)/(m_1 + m_2)] = sqrt[(2.0 kg\times9.8 m/s^2\times12.0 cm)/(2.0 kg + 3.0 kg)] = 1.81 m/s[/tex]
Therefore, the velocity of the lower ball when the two balls stick together is 1.81 m/s.
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you compress a piston full of gas and do 8.4 joules of work on it. if the internal energy (u) of the system increases by 3.3 joules, how much heat (in joules) left the system (give your answer as a positive number)?
The amount of heat that left the system is 11.7 joules (given as a positive number).
When a piston is compressed fully with gas and 8.4 joules of work is done on it, and the internal energy (u) of the system is increased by 3.3 joules, we need to determine the amount of heat that left the system.
To determine the amount of heat that left the system, we need to use the First Law of Thermodynamics, which states that the change in internal energy (u) of a system is the sum of the heat (q) added to it and the work (w) done on it, which can be represented as:
u = q + w
Where, u = Change in internal energy of the system
q = Heat added to the system
w = Work done on the system
From the given information, w = -8.4 J (since work was done on the system), and u = 3.3 J.
Therefore, substituting these values in the above equation, we get:
3.3 J = q + (-8.4 J)3.3 J + 8.4 J
q = 11.7 J
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a star simultaneously emits red light, blue light, x-rays, and radio waves in the direction of the earth. which will arrive first?
The answer is that the radio waves will arrive first at the Earth when a star emits red light, blue light, x-rays, and radio waves.
This is due to the fact that radio waves are long-wavelength electromagnetic radiation. As a result, they are less likely to be impeded or absorbed by the intervening space medium, and they can propagate without being affected by any other disturbances in the cosmos.
Furthermore, radio waves are not influenced by the earth's atmosphere, which is responsible for interfering with the passage of light rays to the surface of the earth. In other words, radio waves can traverse enormous distances in space without being obstructed or attenuated by any physical barrier.
Light rays, on the other hand, propagate via a straight line, which is known as the line of sight. Light rays may be deflected or absorbed by cosmic dust, gas clouds, or other materials found in interstellar space. This may cause them to travel in different directions, which might cause them to be redirected from their initial path. As a result, light rays must contend with these obstacles before reaching the earth, which may cause them to be weakened or distorted by the time they arrive.
Similarly, X-rays are also electromagnetic radiation but they are absorbed by interstellar matter. They are also affected by magnetic fields, and they might be redirected from their path as a result of the interstellar medium. This might cause them to be slowed down and travel a longer distance, making their journey longer.
Thus, radio waves will arrive first because of their long wavelength and low interaction with cosmic matter.
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TRUE or FALSE – Energy can be transferred from Kinetic Energy (KE) to Potential Energy (PE) and vice versa.
True, energy can be transferred from kinetic energy (KE) to potential energy (PE) and vice versa
Can energy be transferred from Kinetic Energy (KE) to Potential Energy (PE) and vice versa?The principle of the conservation of energy states that energy cannot be created or destroyed but can only transferred or transformed from one form to another.
When an object is in motion, it has kinetic energy, and when it is at rest, it has potential energy.
When the object moves from a stationary position to a position in motion, some of its potential energy is converted into kinetic energy.
Conversely, when the object moves from a position in motion to a stationary position, some of its kinetic energy is converted into potential energy.
Hence, the statement is TRUE.
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as the dyes get longer, two effects compete. equation (5) indicates that as n; increases, the absorption wavelength should decrease, but as l increases, the absorption wave length should increase which one wins? can you figure out why?
The effect of increasing the length of the dye molecules on their absorption wavelength can be complex, as two competing effects are at play. Equation (5) would suggest that as the number of repeating units in the dye molecule, n, increases, the absorption wavelength should decrease.
However, as the length of the dye molecule, l, increases, the absorption wavelength should increase. Which effect will win out depends on the relative magnitude of the increase in l compared to the increase in n. If the increase in l is greater than the increase in n, then the absorption wavelength will increase, and vice versa.
Ultimately, the effect of increasing the length of the dye molecule on the absorption wavelength will depend on the specifics of the dye molecule, such as its composition and the size of the repeating units.
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a stone is thrown down off a bridge with a velocity of 5.6 m/s. what is its velocity after 3 seconds have passed?
The velocity of the stone after 3 seconds have passed can be calculated using the formula v=u + at, where v is the velocity, u is the initial velocity, a is the acceleration (in this case the acceleration due to gravity, which is 9.8 m/s2), and t is the time. Therefore, the velocity of the stone after 3 seconds have passed will be 5.6 + (9.8*3) = 23.4 m/s.
The acceleration due to gravity causes any object to accelerate as it moves. This acceleration is always constant and acts downwards. Therefore, an object thrown with an initial velocity of 5.6 m/s will continue to accelerate and its velocity will increase. After 3 seconds have passed, the object will have an increased velocity of 23.4 m/s. In addition, when the stone is thrown off the bridge, it is subject to air resistance, which works against the stone and causes it to slow down. The magnitude of air resistance is dependent on a number of factors, such as the shape and size of the object. As such, the stone's velocity after 3 seconds might be slightly lower than the calculated value of 23.4 m/s.
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a 500g pot of water at room temperature (20c) is placed on a stove. how much heat is required to change this water to steam at 100c
To change 500g of water at room temperature (20°C) to steam at 100°C, you will need to add 1128.500 kJ of heat. This is because water requires a certain amount of heat energy, called the 'latent heat of vaporization', to turn from a liquid to a gas.
Mass of water (m) = 500g
Initial temperature ([tex]T_i[/tex]) = 20°C
Final temperature ([tex]T_f[/tex]) = 100°C
The heat of vaporization ([tex]H_{vap}[/tex]) = 2260 J/g.
To calculate the amount of heat required to convert 500 g of water at room temperature to steam at 100°C, we will use the formula:
[tex]Q = m \times H_{vap}\\Q = 500 g \times 2260 J/g\\Q = 1128500 J[/tex]
Therefore, it would take 1130000 J of heat to change this water to steam at 100°C.
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how many kwh k w h of energy does a 600- w w toaster use in the morning if it is in operation for a total of 6.0 min m i n ?
The answer are energy used by the 600-watt toaster for 6.0 min is 0.06 kWh (kilowatt-hours).
To solve the problem, we must first calculate the power of the toaster and the time it is in use. The toaster's power is given to be 600 watts, and the time it's in use is 6 minutes.
The formula for calculating energy is given below. Energy = Power x Time Energy = 600 x 6 Joules
Using the conversion factor, we can convert joules to kilowatt-hours (kWh).1 kWh = 3.6 x 10^6 J
Now, we can find out the energy used in kilowatt-hours.
Energy = 600 x 6 / (3.6 x 10^6) kWh Energy = 0.06 kWh
Hence, the energy used by the 600-watt toaster for 6.0 min is 0.06 kWh (kilowatt-hours).
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a microwave oven sets up a standing wave of wavelength 12.2 cm c m between two parallel conducting walls 48.8 cm c m apart. find the wave frequency.
The frequency of the standing wave set up by the microwave is 8 GHz (or 8 × 10^9 Hz).
What is Wavelength?
The wavelength of the microwave is 12.2 cm, and the distance between the two parallel walls is 48.8 cm.
frequency is:
f = v/λ
where `v` is the velocity of the wave and `λ` is the wavelength of the wave.
to calculate the velocity of the microwave:
`v = 2dƒ`
where `d` is the distance between the two walls and `ƒ` is the frequency.
Substituting the given values,`
v = 2(0.488)ƒ`.
Rearranging the equation for `ƒ`,
'ƒ = v/2d`.
Substituting `v` and `d` with the values given in the question:
`ƒ = (2 × 0.488) / (2 × 0.122)`.
Simplifying the expression,
`ƒ = 8`.
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how do extrusive igneous rocks form
Answer:
igneous rock is produced when magma exits and cools above (or very near) the Earth's surface. These are the rocks that form at erupting volcanoes and oozing fissures.
what must the charge (sign and magnitude) of a particle of mass 1.45 g be for it to remain stationary when placed in a downward-directed electric field of magnitude 700 n/c ?
The charge (sign and magnitude) of a particle of mass 1.45 g must be for it to remain stationary when placed in a downward-directed electric field of magnitude 700 n/c is -1.029x10⁻⁴ C.
The magnitude of the charge must be equal to the magnitude of the electric field (700 n/c).
Therefore, we can write:-mg = qE
where, m = 1.45g = 1.45 x 10⁻³ kg
E = 700 N/cm = 1.45 x 10⁻³ kg x 9.81 m/s²
= 0.01419 N (Weight of the particle)
q = -1.029 x 10⁻⁴ C
To remain stationary when placed in a downward-directed electric field of magnitude 700 n/c, the charge (sign and magnitude) of a particle of mass 1.45 g must be negative.
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a gun fires a bullet vertically into a 1.40-kg block of wood at rest on a thin horizontal sheet.if the bullet has a mass of 26.8 g and a speed of 230 m/s , how high will the block rise into the air after the bullet becomes embedded in it?
The block will rise to a height of approximately 4.36 cm after the bullet becomes embedded in it.
We can use the principle of conservation of momentum to solve this problem. The total momentum of the system (bullet + block) before the collision is,
p_before = m_bullet * v_bullet
where m_bullet is the mass of the bullet and v_bullet is its speed.
After the collision, the bullet becomes embedded in the block, so the total mass of the system is,
m_total = m_bullet + m_block
The velocity of the combined bullet-block system after the collision can be calculated using the conservation of momentum,
p_before = p_after
m_bullet * v_bullet = (m_bullet + m_block) * v_after
where v_after is the velocity of the combined bullet-block system after the collision.
Solving for v_after,
v_after = (m_bullet * v_bullet) / (m_bullet + m_block)
Now, we can calculate the kinetic energy of the bullet-block system just after the collision,
KE_after = (1/2) * (m_bullet + m_block) * v_after^2
The initial kinetic energy of the bullet is,
KE_before = (1/2) * m_bullet * v_bullet^2
The difference between these two energies represents the energy that has been transferred to the block,
delta_KE = KE_before - KE_after
This energy is used to raise the block to a certain height h. If we assume that all of this energy is converted into potential energy, then we can write,
delta_KE = m_block * g * h
where g is the acceleration due to gravity.
Solving for h,
h = delta_KE / (m_block * g)
Substituting the expressions for delta_KE, m_block, v_bullet, and v_after,
h = [(1/2) * m_bullet * v_bullet^2] / [(m_bullet + m_block) * g]
Substituting the given values,
h = [(1/2) * 0.0268 kg * (230 m/s)^2] / [(0.0268 kg + 1.40 kg) * 9.81 m/s^2] = 0.0436 m
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g a cat with mass 4.50 kg is running at a speed of 6.70 m/s. what is the kinetic energy of the cat?
The kinetic energy of the cat is 177.15 Joules.
The kinetic energy of the cat can be calculated using the formula K = 0.5mv2, where m is the mass and v is the velocity.
The cat has a mass of 4.50 kg and is running at a velocity of 6.70 m/s, so we can substitute these values into the formula to find the kinetic energy:
K = 0.5 * 4.50 kg * (6.70 m/s)2
K = 177.15 Joules
Kinetic energy is the energy possessed by an object due to its motion. It is calculated by multiplying half of the object's mass by its velocity squared.
The cat has a mass of 4.50 kg and is running at a velocity of 6.70 m/s, so its kinetic energy is 177.15 Joules.
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at time an object is traveling to the right along the axis at a speed of with acceleration which statement is true? (a) the object will slow down, eventually coming to a complete stop. (b) the object cannot have a negative acceleration and be moving to the right. (c) the object will continue to move to the right, slowing down but never coming to a complete stop. (d) the object will slow down, moment
The statement that is true for an object traveling to the right along the axis at a speed of with acceleration is "the object will slow down, eventually coming to a complete stop. So, Option A is correct.
Kinetic Friction is the resistive force that opposes the movement or motion of two interacting surfaces in relative motion. It is due to the interactions between surfaces when there is some movement between the two. The frictional force opposes the motion of the object and tends to bring it to a halt or slow it down.
Let us now consider the given options:
(a) The object will slow down, eventually coming to a complete stop. This statement is true. The object will slow down and come to a complete stop.
(b) The object cannot have a negative acceleration and be moving to the right. Thus, this statement is not true. The object can have a negative acceleration and still be moving to the right.
(c) The object will continue to move to the right, slowing down but never coming to a complete stop. Thus, this statement is not true. The object will come to a complete stop.
(d) The object will slow down, moment. Thus, this statement is not complete. It does not explain what will happen after slowing down.
Therefore, option (a) is the correct option.
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Hodan carried a box of (5,4)m. The box had a mass of 5kg. Hodan said that over 300J of work was done on the box. Is she correct, explain your answer
Answer:
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calculate the force required to stop a car of mass 1400 kg in 2 seconds if it is moving with a velocity of 10 m/s.
The force required to stop a car of mass 1400 kg in 2 seconds if it is moving with a velocity of 10 m/s is 7000 N in the opposite direction to the car's motion.
Calculate the force required to stop a car of mass 1400 kg in 2 seconds if it is moving with a velocity of 10 m/s.
To solve the given problem, we can use the equation:
F = (m * Δv) / Δt
where F = force
required to stop the carm = mass of the car Δv = change in velocity = final velocity - initial velocityΔt = time taken to stop the car.
Given, mass of the car, m = 1400 kg Initial velocity, u = 10 m/s Final velocity, v = 0 m/s Time taken to stop, t = 2 seconds Therefore, Δv = v - u = 0 - 10 = -10 m/s
Substituting the given values in the above equation, we get:
F = (m * Δv) / Δt = (1400 kg * (-10 m/s)) / (2 s) = -7000 N
Here, the negative sign indicates that the force required to stop the car is acting in the opposite direction to the car's motion.
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what principle states that the buoyant force experienced by an object is exactly equal to the weight of the fluid displaced?
The principle that states that the buoyant force experienced by an object is exactly equal to the weight of the fluid displaced is known as Archimedes' Principle. What is Archimedes' Principle? Archimedes' Principle is a scientific law that explains how objects behave in fluids (liquids and gases).
The buoyant force of an object in a fluid is equal to the weight of the fluid displaced by the object according to this principle. This principle is valid for any fluid and any object as long as the buoyancy and weight of the object and fluid are calculated correctly.
The force that causes objects to float or sink in fluids is known as buoyancy. The buoyant force on an object is the net upward force exerted by the fluid in which the object is submerged.
When an object is immersed in a fluid, the fluid exerts an upward force on the object. This buoyant force opposes the weight of the object and causes it to float if the buoyant force is greater than the weight of the object.
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