A 3.00-kg object traveling 20.0 m/s west collides with a 5.00-kg mass object traveling 12.0 m/s west. the collision is perfectly elastic, what is the velocity of the 3.00-kg object after the collision?
Answers
The velocity of the 3.00-kg object after the perfectly elastic collision is approximately -53.3 m/s (westward direction).
To determine the velocity of the 3.00-kg object after the perfectly elastic collision, we can apply the principle of conservation of momentum.
According to the conservation of momentum, the total momentum before the collision is equal to the total momentum after the collision.
Let's denote the velocity of the 3.00-kg object after the collision as v1' and the velocity of the 5.00-kg object after the collision as v2'.
The initial momentum before the collision can be calculated as follows:
Initial momentum = (Mass 1 * Velocity 1) + (Mass 2 * Velocity 2)
= (3.00 kg * (-20.0 m/s)) + (5.00 kg * (-12.0 m/s))
= -60.0 kg·m/s - 60.0 kg·m/s
= -120.0 kg·m/s
Since the collision is perfectly elastic, the total momentum after the collision is also equal to -120.0 kg·m/s.
Applying the conservation of momentum:
Total momentum after collision = (Mass 1 * Velocity 1') + (Mass 2 * Velocity 2')
-120.0 kg·m/s = (3.00 kg * v1') + (5.00 kg * v2')
Now we need to solve this equation for v1'.
We also know that the relative velocity of the two objects before the collision is given by:
Relative velocity = Velocity 1 - Velocity 2
= -20.0 m/s - (-12.0 m/s)
= -8.0 m/s
Since the collision is perfectly elastic, the relative velocity after the collision will be reversed:
Relative velocity after collision = -(Relative velocity before collision)
= -(-8.0 m/s)
= 8.0 m/s
Now, we have the equation:
-120.0 kg·m/s = (3.00 kg * v1') + (5.00 kg * 8.0 m/s)
Simplifying the equation, we find:
-120.0 kg·m/s = 3.00 kg * v1' + 40.00 kg·m/s
Rearranging the equation to solve for v1':
3.00 kg * v1' = -120.0 kg·m/s - 40.00 kg·m/s
v1' = (-160.0 kg·m/s) / 3.00 kg
v1' ≈ -53.3 m/s
Therefore, the velocity of the 3.00-kg object after the perfectly elastic collision is approximately -53.3 m/s (westward direction).
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Related Questions
A blimp is travelling above the surface of Jupiter at a height of 3.9km. Assuming g on Jupiter is 24.5N/kg, find the mass of the blimp if its gravitational potential energy store is 2.8MJ.
Answers
Explanation:
what does kinetic theory of matter state
The new PopsiCo Machine #4138 works this way: When 4 containers of Secret Formula and 2 identical containers of water are poured into the machine, 11 cups of soda pop are produced. a. How many cups does I container of fluid hold? Explain. b. How many containers of fluid does 1 cup hold? Explain. e. What fraction of each cup is made up of Secret Formula? Explain. d. What fraction of each cup is made up of water? Explain. e. Show that the relationship between containers of Secret Formula and containers of water is a proportional one.
Answers
The PopsiCo Machine #4138 produces 11 cups of soda pop when 4 containers of Secret Formula and 2 containers of water are poured into it.
a. 1 container of fluid holds 1.83 cups.
To find out how many cups 1 container of fluid holds, we can divide the total number of cups produced by the total number of containers used:
11 cups / (4 containers of Secret Formula + 2 containers of water) = 11 cups / 6 containers = 1.83 cups per container
b. 1 cup holds 0.545 containers of fluid.
To find out how many containers of fluid 1 cup holds, we can divide the total number of containers used by the total number of cups produced:
6 containers / 11 cups = 0.545 containers per cup
c. 2/3 of each cup is the fraction made up of Secret Formula.
To find out what fraction of each cup is made up of Secret Formula, we can divide the number of containers of Secret Formula used by the total number of containers used:
4 containers of Secret Formula / 6 containers = 2/3
d. 1/3 of each cup is the fraction made up of water.
To find out what fraction of each cup is made up of water, we can divide the number of containers of water used by the total number of containers used:
2 containers of water / 6 containers = 1/3
e. For 11 cups of soda pop: 4 containers of Secret Formula / 2 containers of water = 2. For 22 cups of soda pop: 8 containers of Secret Formula / 4 containers of water = 2. For 33 cups of soda pop: 12 containers of Secret Formula / 6 containers of water = 2
To show that the relationship between containers of Secret Formula and containers of water is a proportional one, we can compare the ratios of containers of Secret Formula to containers of water for different amounts of soda pop produced.
As we can see, the ratio of containers of Secret Formula to containers of water is always 2, no matter how much soda pop is produced. This means that the relationship between containers of Secret Formula and containers of water is a proportional one.
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when you push a 1.70-kg book resting on a tabletop, it takes 2.16 n to start the book sliding. once it is sliding, however, it takes only 1.33 n to keep the book moving with constant speed. what is the coefficient of static friction between the book and the tabletop?
Answers
The coefficient of static friction between the book and the tabletop is 0.13.
The coefficient of static friction between the book and the tabletop can be calculated using the formula:
μs = Fs / N
Where μs is the coefficient of static friction, Fs is the force of static friction, and N is the normal force.
In this case, the force of static friction is the force required to start the book sliding, which is 2.16 N. The normal force is the weight of the book, which is 1.70 kg × 9.8 m/s2 = 16.66 N.
Plugging in the values into the formula, we get:
μs = 2.16 N / 16.66 N
μs = 0.13
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Describe how an adult can teach a child to become a racist or bigot using positive reinforcement and negative punishment. Make sure you define the terms and apply the term to a real world example.
Answers
Answer:
by raising them in an environment in wich it is common and giving false information about other races to install bad stereo types and distrust in the child who will grow up to not know any better do to the dumb ignorant parent raised the same way
Explanation:
?????? thats all i got im not a politician BLM
a belt is placed around a pulley 41 cm in diameter and rotating at 242 rpm, what is the linear speed in m/s of the belt
Answers
Given
d: diameter
d = 41 cm
We need radius information so we will calculate it:
r: radius
r = d/2
r = 41/2
r = 20.5 cm
Rotating speed
w = 242 rpm
Procedure
At a distance r from the center of the rotation, a point on the object has a linear speed equal to the angular speed multiplied by the distance r. The units of linear speed are meters per second, m/s.
\(v=\omega r\)But before using the formula we need to have all the units in the same system. So we need to go from rpm to rad/s and from cm to m
\(\begin{gathered} 242\cdot\frac{\text{rev}}{\min}\cdot\frac{2\text{ pi rad }}{1\text{ rev}}\cdot\frac{1\text{ min}}{60\text{ s}} \\ 25.34\text{ rad/s} \\ \\ 20.5\text{ cm}\cdot\frac{1m}{100\operatorname{cm}} \\ 0.205\text{ m} \end{gathered}\)Now we can calculate the linear velocity of the belt.
\(\begin{gathered} v=\omega r \\ v=25.34\text{ rad/s}\cdot0.205\text{ m} \\ v=5.1947\text{ m/s} \end{gathered}\)Answer
The linear velocity of the belt would be 5.2 m/s.
A football player threw a football with a velocity of (3.0 m/s x + 5.0m/s y). How far did it travel horizontally?
Answers
The horizontal distance travelled by the football is 3.1 m.
What is the angle of projection of the ball?
The angle of projection of the football is calculated as follows;
tan ( θ ) = Vy / Vx
where;
Vy is the velocity of the ball in the vertical directionVx is the velocity of the ball in the horizontal directiontan ( θ ) = 5 / 3
tan ( θ ) = 1.667
θ = arc tan (1.667)
θ = 59⁰
The resultant velocity of the ball is calculated as follows;
v = √ (Vx² + Vy²)
v = √ (3² + 5²)
v = 5.83 m/s
The horizontal distance travelled by the football is calculated as follows;
x = v² sin(2θ) /g
where;
v is the resultant velocityg is acceleration due to gravityθ is the angle of projection of the ballx = [ (5.83)² sin(2 x 59) /9.8 ]
x = 3.1 m
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understanding that while the shape of an object may change, the mass of the object stays the same is an example of multiple choice
A. object permanence.
B. a schema.
C. conservation.
D. accommodation.
Answers
Understanding that while the shape of an object may change, the mass of the object stays the same is an example of conservation. The correct answer is C.
Conservation refers to the understanding that certain properties of objects, such as their mass, volume, and number, remain constant even when their appearance or arrangement changes.In this particular example, a child who understands conservation would recognize that even if a ball of clay is flattened or stretched out, it still has the same amount of clay, and therefore the same mass, as it did before. This understanding is a key developmental milestone in children's cognitive development, and is often assessed using tasks that involve measuring, comparing, and transforming objects.Conservation is one of several cognitive processes that contribute to children's understanding of the physical world. Other important processes include object permanence (the understanding that objects continue to exist even when they are out of sight), schema (the mental structures that organize our knowledge and experiences), and accommodation (the process of modifying our existing schemas to fit new information).For more such question on law of conservation
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4. A foam cooler of negligible mass contains 1.75 kg of water Ice from a refrigerator at -15°C, is then added to the water in the cooler. When thermal equilibrium has been reached, the total mass of ice in the cooler is
0.778 kg. Assuming no heat exchange with the surroundings, what mass of ice was added? For water, Le-334 x 10 J/kg, and for ice, c-2100 J/(kg-K).
1.8 kg
O 1.1 kg
O 07
O
0.7 kg
0.9 kg
Answers
The mass of ice that was added is 1.11 kg. So the answer is 1.1 kg (option O 1.1 kg).
To solve this problem, we can use the principle of energy conservation. The heat gained by the ice will be equal to the heat lost by the water.
The heat gained by the ice can be calculated using the formula:
Q_ice = m_ice * c_ice * ΔT_ice
Where:
Q_ice = heat gained by the ice
m_ice = mass of ice added
c_ice = specific heat capacity of ice (2100 J/(kg-K))
ΔT_ice = change in temperature of the ice (from -15°C to 0°C)
The heat lost by the water can be calculated using the formula:
Q_water = m_water * L_water
Where:
Q_water = heat lost by the water
m_water = mass of water in the cooler
L_water = latent heat of fusion of water (334 x 10^3 J/kg)
Since there is no heat exchange with the surroundings, the heat gained by the ice is equal to the heat lost by the water:
Q_ice = Q_water
m_ice * c_ice * ΔT_ice = m_water * L_water
Substituting the known values:
m_ice * 2100 * (0 - (-15)) = 1.75 * 334 * 10^3
Simplifying the equation:
m_ice * 2100 * 15 = 1.75 * 334 * 10^3
m_ice = (1.75 * 334 * 10^3) / (2100 * 15)
m_ice ≈ 1.11 kg
Therefore, the mass of ice that was added is approximately 1.11 kg. So the answer is 1.1 kg (option O 1.1 kg).
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if your navigation radio was tuned to the point reyes vor (pye, about 25 nm northwest of san francisco), while you were over petaluma airport (o69, near pye), what indication would you not expect to see on
Answers
If your navigation radio is tuned to the PYE VOR while you are over Petaluma Airport, you would expect to see several indications of your position and direction relative to the VOR, but you would not expect to see a "TO" indication due to your offset position.
These would include:
- A course deviation indicator (CDI) showing the needle centered if you were flying directly towards PYE
- A heading indicator or compass indicating a magnetic heading that would take you towards PYE
- A distance measuring equipment (DME) reading showing the distance from your current location to the PYE VOR
- An indication on your map or GPS display showing your position relative to the PYE VOR
However, there is one indication that you would not expect to see in this scenario. Since the Petaluma Airport is not located directly on the PYE VOR radial, you would not expect to see a "TO" indication on your navigation instruments. The "TO" indication shows the direction in which you need to fly in order to reach the VOR station, based on your current position and the radial you have selected. If you are not directly on the radial, the "TO" indication may be inaccurate or not displayed at all.
If your navigation radio is tuned to the PYE VOR while you are over Petaluma Airport, you would expect to see several indications of your position and direction relative to the VOR, but you would not expect to see a "TO" indication due to your offset position.
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A charge of -e is situated at the origin of an x-axis, a second charge of −3 e exists 3 mm to the left of the origin, and a third charge of +5 e is situated 3μm to the right of the origin. Determine the total force on the left-most charge. F = ..... N
Answers
The total force on the left-most charge is (3 × 10^21 + 5 × 10^33) e^2 N.
Let's assume the left-most charge, located at the origin, has a charge of -e, where e is the elementary charge. The second charge, located 3 mm to the left of the origin, has a charge of -3e. The third charge, situated 3 μm to the right of the origin, has a charge of +5e.
The force between two charges can be calculated using Coulomb's law:
F = k * |q1 * q2| / r^2
where F is the force between the charges, k is the electrostatic constant (k ≈ 9 × 10^9 N m^2/C^2), q1 and q2 are the charges, and r is the distance between them.
Force between the left-most charge and the second charge:
The distance between them is 3 mm = 3 × 10^(-3) m.
The charges are -e and -3e.
F1 = k * |-e * (-3e)| / (3 × 10^(-3))^2
= 9 × 10^9 * (3e^2) / (9 × 10^(-6))
= 3e^2 × 10^15 / 10^(-6)
= 3e^2 × 10^21 N
Force between the left-most charge and the third charge:
The distance between them is 3 μm = 3 × 10^(-6) m.
The charges are -e and +5e.
F2 = k * |-e * (5e)| / (3 × 10^(-6))^2
= 9 × 10^9 * (5e^2) / (9 × 10^(-12))
= 5e^2 × 10^21 / 10^(-12)
= 5e^2 × 10^33 N
To find the total force on the left-most charge, we need to add the forces together:
F total = F1 + F2
= 3e^2 × 10^21 N + 5e^2 × 10^33 N
= (3 × 10^21 + 5 × 10^33) e^2 N
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rock layer that can be porous but must have very low to no permeability
Answers
Rock layer that can be porous but must have very low to no permeability is option A. above oil and natural gas
What is soil permeability?Soil permeability is a measure of a soil's ability to allow water to flow through it. It is determined by the size, shape, and arrangement of the soil particles, as well as by the presence of pores or fractures in the soil.
Soils with high permeability allow water to flow through them quickly, while soils with low permeability do not allow water to flow through as easily. Permeability is important for both agricultural and engineering applications, as it can affect water availability for plants, and the stability of foundations for buildings and other structures.
Therefore, the correct answer is as given above
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The complete question goes thus:
Rock layer that can be porous but must have very low to no permeability.
A. above oil and natural gas
B. Under oil and natural gas
C. Coal, oil, natural gas
D. anthracite
The chemical equation shown above represents the hydrolysis of sucrose. Under certain conditions, the rate is directly proportional to the concentration of sucrose. Which statement supports how a change in conditions can increase the rate of this reaction?
Answers
Increasing the temperature of the reaction solution can increase the rate of hydrolysis of sucrose, as higher temperatures can increase the rate of molecular motion.
What is sucrose?Sucrose is a naturally occurring carbohydrate found in plants and fruits. It is also known as table sugar, or simply sugar. It is a disaccharide composed of glucose and fructose molecules joined together by a glycosidic bond. Sucrose is the most commonly used sweetener in food and beverage production and is found in many processed foods. It is used in baking, sweetening beverages, and as a preservative in some products. Sucrose is used as an energy source for the body. It is broken down by enzymes in the small intestine, releasing glucose and fructose which are then absorbed into the bloodstream and used for energy. Sucrose has a wide variety of uses in the food industry as a preservative, flavor enhancer, and sweetener.
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Calculate the mass (in kg) of 54.3 m³ of granite. The density of granite is 2700 kg/m³. Give your answer to 2 decimal places.
Answers
Answer:
Explanation:
we know that density =m/v
for mass the equation become
m=d*v
m=2700*54.3
m=146610
m=14.6*10^4
Wat is the area of a rectangle with
sides measuring 6cm and 9cm
Answers
Answer:
Area = 54
Explanation:
6 × 9 = 54
you just need to multiple the two different sized sides
2. comparing tangential speed with centripetal force, what can you conclude about the relationship between the centripetal force and speed? what is the functional form of this relationship?
Answers
Circular motion is produced uniformly by centripetal force, which is parallel to tangential velocity. The degree of curve r decreases.
What does tangential mean in practice?A tangent in geometry is a direct line that only touches a curved once. Therefore, we refer to an individual who begins off talking about one topic and then veers off topic as going off on a tangent. The new thread is peripheral to a original one; it makes a passing reference to it before diverging.
What is meant by tangential?Adjective. being or going in the path of a tangential; being of the type of a tangent. just in contact; tenuously linked data that is unrelated. digressive or divergent.
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A 60 Kg astronaught is on a space walk when the tether line breaks. He throws a 10 Kg O2 tank away from the shuttle with a speed of 12 m/s. Propelling him back toward the shuttle. Assuming the astronaut starts from rest with respect to the shuttle, find the astronauts final speed with respect to the shuttle after the tank is thrown.
Answers
Answer:
Explanation:
Here's what you know, astronaut's m = 63.0 kg, tanks = 10.0 kg, tank's v = 12.0 m/s. Use the formula mv = mv. Plug in (10.0 kg)
(12 m/s) = (63.0 kg)(v). astronaut's v = 1.9 m/s.
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What is the relationship between the distance objects and the gravitational force between them.
Answers
Answer:
It the gravitational pull decreases as the objects distance increases
Explanation:
Sushant went on an educational trip to a village. There he found a potter making pots. He found that the soil used for making pots was different from normal soil. Name the soil and also tell its characteristics.
Answers
The soil used for making pots by potters is commonly known as "Potter's Clay" or "Potter's Soil."
Characteristics of Potter's Clay:
1. Plasticity: Potter's clay has high plasticity, which means it can be easily molded and shaped into different forms without cracking or breaking.
2. Cohesiveness: It exhibits good cohesion, allowing the clay particles to stick together when moistened, forming a workable material.
3. Fine Particle Size: Potter's clay consists of fine particles that contribute to its plasticity and workability.
4. High Water Retention: It has the ability to retain water, which helps maintain the moisture content necessary for the clay to be shaped and formed.
5. Low Shrinkage: Potter's clay exhibits low shrinkage when it dries or undergoes firing, ensuring minimal distortion or cracking during the drying and firing processes.
6. Good Bonding Properties: The clay particles have the ability to bond together, creating a strong and durable structure once fired.
7. Good Porosity: After firing, the clay retains some porosity, allowing the pot to breathe and allowing for the exchange of air and moisture.
1. The space shuttle Artemis is launched to altitude of 700,000 m above the surface of the earth. The shuttle travels at
an average rate of 750 m/s. How long will it take for Artemis to reach its orbit? t = Ad/v
Answers
According to the given statement Time taken by space shuttle = 933.33 m/s.
What is distance ?Displacement is a vector quantity with both magnitude and direction, while distance is a scalar quantity, or a value. Generally speaking, the directed distance is yet another name for the vector that represents the difference between two locations (the relative position).
Briefing:Distance cover by space shuttle = 700,000 meter
Speed of space shuttle = 750 m/s
Time taken by space shuttle
Time taken = Distance / Speed
Time taken by space shuttle = Distance cover by space shuttle / Speed of space shuttle
Time taken by space shuttle = 700,000 / 750
Time taken by space shuttle = 933.33 m/s
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if a star is twice as hot as our sun, but has the same luminosity, how large is its radius compared to the sun?
Answers
If a star is twice as hot as our sun, but has the same luminosity, its radius would be larger than our sun's. This is because the star's higher temperature means that it is producing more energy per unit area on its surface, but since its luminosity is the same as our sun's, this energy output must be spread out over a larger surface area.
To understand this, we can use the Stefan-Boltzmann law, which states that a star's luminosity is proportional to the fourth power of its temperature and radius. Since the star has the same luminosity as our sun, its radius must be larger to compensate for its higher temperature. Specifically, the radius would be approximately 1.26 times larger than our sun's.
This result can also be understood through the star's color and spectral type. A star that is twice as hot as our sun would appear bluer and would have a spectral type of B or O, whereas our sun is a G-type star. B and O-type stars are known to be larger and more luminous than G-type stars, which further supports the conclusion that the hotter star in question would have a larger radius than our sun.
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10. An object of a mass 300 KG is observed to accelerate at the rate of 4M/S2. Calculate the force required to produce this acceleration.
Answers
Answer:
1200 Newton
Explanation:
Force is equal to mass times acceleration
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Give an example of metals which is the best conductor of heat and shining non metal..
NEED HELP PLZ
Answers
Answer:
silver and copper
Explanation:
“You can’t get more energy from a machine than the amount of energy you put into it,” is one way of stating the law of conservation of _____. A. work B. friction C. energy D. power
Answers
Answer:
Energy
Explanation:
One ways of stating the law of conservation of energy is that "you cannot get more energy from a machine than the amount of energy you put into it".
The law of conservation of energy states that in a system, energy is neither created nor destroyed but transformed from one form to another.
The energy in a system does not increase based on the premise of this law.
The efficiency of a machine can reduce but the energy is always conserved. This is because energy is transformed to other forms.what three factors affect the torque created by a force relative to a specific pivot point
Answers
The three factors that affect torque are the magnitude of the force, the distance from the pivot point, and the angle between the force and the lever arm.
The three factors that affect the torque created by a force relative to a specific pivot point are:
1. Magnitude of the Force: The greater the magnitude of the applied force, the greater the torque generated. A larger force will create a larger rotational effect around the pivot point.
2. Distance from the Pivot Point: The distance between the pivot point and the point where the force is applied, known as the lever arm or moment arm, influences the torque. Increasing the lever arm increases the torque for the same applied force.
3. Angle of Application: The angle at which the force is applied relative to the lever arm also affects the torque. The torque is maximized when the force is applied perpendicular (at a 90-degree angle) to the lever arm.
These factors demonstrate how the interaction between force, distance, and angle determines the rotational effect (torque) around a specific pivot point.
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The branch of physics and technology concerned with the design of circuits using transistors and microchips, and with the behavior and movement of electrons in a semiconductor, conductor, vacuum, or gas.
Answers
The branch of physics and technology concerned with the design of circuits using transistors and microchips, and with the behavior and movement of electrons in a semiconductor, conductor, vacuum, or gas is known as electronics.
In electronics, the essential elements of the circuit include transistors, diodes, capacitors, and resistors. Furthermore, microchips are made of semiconducting materials, including silicon, germanium, and gallium arsenide, that are designed with the ability to control the flow of electrons. Circuits have a wide range of applications, including telecommunications, information processing, and control systems. Electronics has made our lives easier and more comfortable by providing us with a wide range of devices such as smartphones, computers, televisions, and other digital products.
Electrons in these devices are manipulated by microchips and transistors to perform specific functions, including communication, calculation, and display.The development of electronics has revolutionized the way we live, work, and interact with the world around us. The miniaturization of circuits has led to the creation of smaller and more portable devices, making electronics more accessible and affordable for people around the world. Overall, electronics has transformed our world and will continue to shape our future.
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14. A 75 kg BASEBALL PLAYER RUNS AT A VELOCITY OF 10 m/s TO GET TO SECOND BASE. IN
ORDER TO GET TO THIRD BASE QUICKLY SHE INCREASES HER SPEED TO 12 m/s.
DETERMINE THE WORK DONE BY THE BASEBALL PLAYER.
A. 1650 J
B. 1550 J
C. -1650 J
D. -1550 J
Answers
Answer:
-1650 J
Explanation:
When an object moves at a certain velocity v0 and changes it to v1, a change in its kinetic energy is achieved.
Plss help me
This is due today and i need to do it or else i get detention 1 hour after school
Answers
The diagram shows that there has been an increase in the speed of the car as the ramp is raised. But when we check on the 4th ramp, we would see that there was a decrease in the speed after the third bar
What is speed?Speed can be defined as the rate at which an object covers a certain distance in a given amount of time. It is a measure of how fast an object is moving relative to a reference point. The standard unit of speed in the International System of Units (SI) is meters per second (m/s), although other units such as miles per hour (mph) and kilometers per hour (km/h) are also commonly used.
In physics, speed is a scalar quantity, meaning that it only has magnitude and no direction. However, when speed is combined with a direction, it becomes velocity, which is a vector quantity. It is important to note that the speed of an object can vary depending on its direction, but its average speed over a distance is always positive.
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Observing that the bulb does not glow in circuit X , Raj changed the circuit as shown in figure Y.
a. What did he observed in circuit Y?
b. Why did the bulb not glow in figure X?
c. What will happen if the number of the cells will increase in circuit Y?
Answers
Answer:
a. He notices that when he kept the compass near the electrical wire with current flowing through it, the compass did not point north; instead, the compass needle pointed in the direction of the current's magnetic field.
b. The bulb did not glow because the current was not sufficient to make it glow.
c. Deflection in the compass will increase further.
Explanation:
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Two charges one positive and one negative both with a charge of 1.1X10-10 C. They are 10-6 m apart. A third charge which is positive is located half between the first 2 charges, and the third charge is 10-17 C. What is the magnitude of force on the third charge
Answers
The magnitude of the force on the third charge is 1.21 x \(10^-^5\) N, acting along the line between charges.
To calculate the magnitude of the force on the third charge, we can use Coulomb's Law:
F = k * (q1 * q2) / \(r^2\), where
F is the force,
k is the electrostatic constant (8.99 x \(10^9\) N \(m^2\)/\(C^2\)),
q1 and q2 are the charges, and
r is the distance between them.
The third charge is equidistant to both first and second charges.
Therefore, calculate the force between the third charge and each of the other charges separately and then add them vectorially.
The forces from each charge are equal in magnitude, 1.21 x\(10^-^5\) N, and act along the line between charges.
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Assume that a vaulter is able to carry a vaulting pole while running as fast
as Carl Lewis in his world record 100-m dash (around 12 m/s). Also assume
that all of the vaulter's kinetic energy is transformed into gravitational
potential energy. What vaulting height could that person attain?
(Hint: Use the equation 5 mu? = mgh.)
Answers
Answer:
5mu = carry a vaulting pole ( 12 m/s) Also
fast
All the vaulter's kinetic energy is transformed into gravitational potential energy. 7.35m is the that person's height.
What is kinetic energy ?Kinetic energy is the energy that an object has as a result of its movement. If we want to accelerate an object, we must apply force to it. Using force requires us to put in effort. After work is completed, energy is transferred to the object, and the object moves at a new constant speed.
The two most important factors influencing kinetic energy are mass and speed. Because an object's motion is determined by its velocity as well as its mass, though velocity is th
Given:
v = 12m/s
g = 9.8 m/s²
Kinetic energy = potential energy
K.E = P.E
1/2 mv² = mgH
H = v² /2g
H = 7.35m
Thus, 7.35m is the that person's height.
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