two arrows are fired horizontally with the same speed of 30.0 m/s. Each arrow has a mass of 0.100kg. One is fired due east and the other due south. Find the magnitude and direction of the total momentum of this two-arrow system. Specify the direction with respect to due east.
Answers
Momentum of each arrow = (0.1 kg) x (30 m/s) = 3 kg-m/s
Everything is equal for the two arrows, except their direction.
So the total momentum vector of the 2-arrow system consists of
-- a 3 kg-m/s component pointing east
plus
-- a 3 kg-m/s component pointing south.
The magnitude of the total momentum is
√ [ (3 kg-m/s)² + (3 kg-m/s)² ]
= √ [ 9 kg²-m²/s² + 9 kg²-m²/s² ]
= √ [ 18 kg²-m²/s² ]
= 3√2 kg-m/s (approx 4.243 kg-m/s)
The direction of the total momentum vector is the angle
south of east whose tangent is
(3 kg-m/s) / (3 kg-m/s)
= tan⁻¹ (1)
= 45° south of east.
That direction is southeast.
The magnitude of the total momentum is [tex]\fbox{4.24 kg m/s}[/tex] and the direction is [tex]\bf{south-east}[/tex].
Further Explanation:
The net momentum acting is the sum of all the momentum which is applying on the different bodies considering the direction of action of the momentum. In other words, the net momentum applying on a body is the sum of all the vectors of all the momentum.
The momentum is the vector quantity has some magnitude and unique direction represented in the coordinates system on the x, y and z-axis. It is the related directly to the object mass and object velocity.
Velocity is the vector quantity has some magnitude and some direction represented in the coordinates system on the x, y and z-axis.
Given:
The speed of the two arrows is [tex]30.0 m/s[/tex].
The mass of each arrow is [tex]0.1 kg[/tex].
The first arrow is fired due east and other arrow is fired due south.
Concept:
The expression for the momentum is:
[tex]P=m\vec v[/tex]
Here, [tex]p[/tex] is the momentum, [tex]m[/tex] is the mass of the object and [tex]v[/tex] is the velocity of the object.
The velocity can be represented in the vector form.
The first arrow is fired due east can be written as [tex]30.0{\text{ m/s }}\hat i[/tex] and other arrow is fired due south can be written as [tex]- 30.0{\text{ m/s }}\hat j[/tex].
The total momentum can be expressed as:
[tex]\vec P={m_1}{\vec v_1} + {m_2}{\vec v_2}[/tex]
Here, [tex]\vec P[/tex] is the total momentum, [tex]{\vec v_1}[/tex] and [tex]{\vec v_2}[/tex] are the velocities of the arrows and [tex]{m_1}[/tex], [tex]{m_2}[/tex] are the masses of the arrow.
Substitute [tex]30.0{\text{ m/s }}\hat i[/tex] for [tex]{\vec v_1}[/tex], [tex]- 30.0{\text{ m/s }}\hat j[/tex] for [tex]{\vec v_2}[/tex], [tex]0.1 kg[/tex] for [tex]{m_1}[/tex] and [tex]0.1 kg[/tex] for [tex]{m_2}[/tex] in the above equation.
[tex]\begin{aligned}\vec P&=\left( {0.1{\text{ kg}}} \right)\left[ {\left( {30.0{\text{ m/s }}\hat i} \right) + \left( { - 30.0{\text{ m/s }}\hat j} \right)} \right]\\&=\left( {0.1{\text{kg}}}\right)\left[ {30.0{\text{ m/s }}\hat i - 30.0{\text{ m/s }}\hat j} \right] \\&=\left( {3\hat i - 3\hat j} \right){\text{ kg}} \cdot {\text{m/s }} \\\end{aligned}[/tex]
Simplify further for the magnitude of the vector.
[tex]\begin{aligned}\left| P \right|&=\sqrt {{3^2} + {3^2}}\\&=\sqrt {9 + 9}\\&=\sqrt {18}\\&=4.24{\text{ kg}}\cdot {\text{m/s}}\\\end{aligned}[/tex]
The direction of the vector can be written as:
[tex]\begin{aligned}\theta&={\tan ^{ - 1}}\left( {\frac{{ - 3}}{3}} \right)\\&={\tan ^{ - 1}}\left( { - 1} \right)\\&=- 45^\circ\\\end{aligned}[/tex]
Therefore, the magnitude of the total momentum is [tex]\fbox{4.24 kg m/s}[/tex] and the negative sign show the direction is [tex]\bf{south-east}[/tex].
Learn more:
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Answer Details:
Grade: Middle school
Subject: Physics
Chapter: Kinematics
Keywords:
Two, arrow, fired, horizontally, same, speed, 30.0 m/s, , , mass, 0.100 kg. One, due, east, south, magnitude, direction, total, momentum, two-arrow system, specify, respect, 4.24 kg m/s, [tex]4.24{\text{ }}\dfrac{{{\text{kg}} \cdot {\text{m}}}}{{\text{s}}}[/tex], south-east.
Related Questions
Which process forms rivers and valleys?
A. Oceanic-oceanic convergence
B. Exposed batholiths
C. Folding, uplift, and erosion
D. Volcanoes
Answers
Valleys are formed through erosion or the gradual wearing down of the land by wind and water. There are three common types. V-shaped, U-shaped valleys,and flat floored valleys.
A roller-coaster car has a mass of 1200 kg when fully
loaded with passengers. As the car passes over the top of a circular
hill of radius 18 m, its speed is not changing. At the top of the
hill, what are the (a) magnitude FN and (b) direction (up or
down) of the normal force on the car from the track if the car’s
speed is v 11 m/s? What are (c) FN and (d) the direction if v
14 m/s?
Answers
Final answer:
At the top of the hill, the roller-coaster car experiences a normal force (FN) from the track that is equal to the gravitational force (mg). The direction of the normal force at the top of the hill is downwards. When the car's speed increases to 14 m/s, the magnitude of the normal force remains the same, but its direction stays downwards.
Explanation:
To determine the magnitude of the normal force (FN) and its direction at the top of the hill, we need to consider the forces acting on the roller-coaster car. At the top of the hill, the car's speed is not changing, meaning its acceleration is zero. This means that the net force acting on the car is zero. The only forces acting on the car at the top of the hill are the gravitational force (mg) and the normal force (FN) from the track.
(a) When the car's speed is 11 m/s, we can equate the gravitational force and the normal force:
mg = FN
Using the given mass of 1200 kg, we can calculate the magnitude of the normal force:
FN = mg = 1200 kg * 9.8 m/s^2 = 11760 N
(b) The direction of the normal force at the top of the hill is downwards (towards the center of the circular path), as it opposes the gravitational force pulling the car downwards.
(c) When the car's speed is 14 m/s, the magnitude of the normal force remains the same:
FN = mg = 1200 kg * 9.8 m/s^2 = 11760 N
(d) The direction of the normal force at the top of the hill is still downwards, as it continues to oppose the gravitational force.
(a) At a speed of [tex]\(v = 11 \ m/s\)[/tex], the magnitude of the normal force [tex](\(F_N\))[/tex] on the roller-coaster car at the top of the hill is [tex]\(9810 \ N\)[/tex] (upward).
(b) At a speed of [tex]\(v = 14 \ m/s\)[/tex], the magnitude of the normal force [tex](\(F_N\))[/tex] on the roller-coaster car at the top of the hill is [tex]\(7560 \ N\)[/tex] (downward).
Explanation:In circular motion, at the top of the hill, the centripetal force required to keep the car moving in a circular path is provided by the normal force [tex](\(F_N\)). At \(v = 11 \ m/s\)[/tex], the net force is zero as the car's speed is constant, so [tex]\(F_N\)[/tex] equals the gravitational force [tex](\(mg\))[/tex], resulting in [tex]\(F_N = 9810 \ N\)[/tex] (upward). This is because the normal force opposes the gravitational force and provides the centripetal force needed.
At [tex]\(v = 14 \ m/s\)[/tex], the normal force is directed downward. In this case, the centripetal force is greater than the gravitational force, leading to a net force directed toward the center of the circular path. The normal force now includes both the gravitational force [tex](\(mg\))[/tex] and the additional force required for centripetal acceleration. The magnitude of [tex]\(F_N\) is \(7560 \ N\)[/tex], and it is directed downward as the net force acts in the opposite direction to the gravitational force.
Understanding the dynamics involves recognizing that at different speeds, the balance between gravitational force and the force required for circular motion changes. At lower speeds, the normal force opposes gravity, while at higher speeds, it supplements gravity to provide the necessary centripetal force.
In A boat race, Dan drove his motorboat over the 1000-meter course from start to finish in 40 seconds. What was Dan's average speed during the race ?
Answers
1) 1000m/40sec = 25m/sec
2) 16km/0.25hr = 64km/hr
In a boat race, Dan drove his motorboat over the 1000-meter course from start to finish in 40 seconds, and his average speed during the race was 25 meters per second.
What is the calculation of average speed?The average speed indicated that the person maintained a linear speed during a drive because the speed is not always maintained properly due to various factors on the person's path.
Dan's average speed during the race is the distance he covered divided by the time taken to cover the distance.
Dan's average speed during the race was,
Average speed = distance covered / time taken
Average speed = 1000 meters / 40 seconds
Average speed = 25 meters per second
Hence, the average speed during the race was 25 meters per second for Dan while driving the motor boat.
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If a person weighs 500 N on Earth, what would she weigh on Jupiter, where the acceleration due to gravity is 26 m/s2?
Show all work leading to your answer.
Answers
2) person's mass on Jupiter = 50 kg * 26 m/s2 = 1300 kg
The person's weigh on Jupiter is 1326.52 N.
What is weight?Weight is a measurement of how much gravity is pulling on a body.
Weight is calculated using the formula: w = mg.
Given that weight is a force, its SI unit is also a force; hence, the SI unit of weight is the Newton (N). By examining the weight expression, we can see that it is dependent on mass and the acceleration caused by gravity.
Given that: a person weighs 500 N on Earth.
the acceleration due to gravity on Jupiter is 26 m/s^2.
Acceleration due to gravity on Earth is 9.8 m/s^2.
Hence, mass of the person
= Weight on Earth/acceleration due to gravity on Earth
=500 N/9.8 m/s^2.
= 51.02 kg.
Her weigh on Jupiter is
= mass of the person × acceleration due to gravity on Jupiter
= 51.02 kg × 26 m/s^2
= 1326.52 N.
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What is the upper block's acceleration if the coefficient of kinetic friction between the block and the table is 0.13?
Answers
Let us assume that pulley is mass less.
Let the tension produced at both ends of the pulley is T.
We are asked to calculate the acceleration of the block.
Let the masses of two bodies are denoted as [tex]m_{1} \ and\ m_{2}\ respectively[/tex]
[tex]Let\ m_{1} =1 kg\ and\ m_{2} =2 kg[/tex]
As per this diagram, the body having mass 1 kg is moving downward and the body having mass 2 kg is moving on the surface of the table.
Let the acceleration of each block is a .
For body having mass 1 kg:
The net force acting on 1 kg body will be-
[tex]m_{1} g-T=m_{1} a[/tex] [1]
Here tension in the rope will be vertically upward and weight of the body will be in vertical downward direction.
For body having mass 2 kg:
The coefficient of kinetic friction [tex][\mu]=0.13[/tex]
[tex]Hence\ the\ frictional\ force\ F=\mu N[/tex]
[tex]F=\mu m_{2} g[/tex]
Hence the net force acting on the body having mass 2 kg-
[tex]T-\mu m_{2} g=m_{2} a[/tex] [2]
Here the tension of the rope is towards right i.e along the direction of motion of the 2 kg block and frictional force is towards left.
Combining 1 and 2 we get-
[tex]m_{1} g-T=m_{1}a[/tex] [1]
[tex]T-\mu m_{2}g= m_{2} a[/tex] [2]
---------------------------------------------------
[tex][m_{1} -\mu m_{2} ]g=[m_{1} +m_{2} ]a[/tex]
[tex]a=\frac{m_{1}-\mu m_{2}} {m_{1}+ m_{2}}*g[/tex]
[tex]a=\frac{1-[2*0.13]}{1+2} *9.8\ m/s^2[/tex]
[tex]a=\frac{0.74}{3} *9.8\ m/s^2[/tex]
[tex]a=2.417 m/s[/tex] [ans]
The acceleration of a block subject to kinetic friction is determined by subtracting the force of friction from the gravitational force parallel to the surface and then dividing by the mass of the block. The force of friction is calculated by multiplying the normal force by the coefficient of kinetic friction.
Explanation:The acceleration of a block sliding on a surface with kinetic friction can be found by using Newton's second law, F = m*a, where F is the net force acting on the object, m is the mass, and a is the acceleration. Given that the coefficient of kinetic friction between the block and the table is 0.13, we first need to find the force of friction, which is the product of the coefficient of kinetic friction (μk) and the normal force (N). Assuming that the only forces acting on the block are gravity, the normal force, and friction, the force of friction can be subtracted from the component of the gravitational force along the inclined plane to get the net force. The net force is then divided by the mass of the block to obtain the acceleration.
To solve for acceleration, the following equations are generally used: Ffriction = μk * N and a = (Fgravity, parallel - Ffriction) / m. It's important to note that without the mass of the block or further details of the scenario, we cannot calculate a numeric answer.
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Which of the following statements is true about the nature of light?
A. Light behaves entirely as a particle
B. Light has properties of both particles and waves
C. Light behaves entirely as a wave
D. Light travels as a wave but does not carry energy ...?
Answers
into it, the light behaves like a stream of particles.
If you build an experiment that responds to waves and shine light
into it, the light behaves like a stream of waves.
B. Light has properties of both particles and waves
Answer: The correct answer is "Light has properties of both particles and waves".
Explanation:
Light shows dual nature. It behaves as particle as well as waves.
Photoelectric effect is the phenomenon in which there is an emission of the electrons when the light of the particular frequency is incident on the surface of the metal.
The particle nature of the light is shown by photoelectric effect.
Reflection: Reflection is the phenomenon in which the light wave gets reflected from the surface without getting transmitted. It bounces back from the surface.
The wave nature of the light is shown by reflection.
Therefore, the correct option is (B).
The mole fraction of oxygen in dry air near sea level is 0.20948. The concentration of
oxygen is __________ molecules per liter, assuming an atmospheric pressure of 739 torr and
a temperature of 29.5°C
A) 6.23
B) 0.00819
C) 4.93 × 1021
D) 3.75 × 1024
E) 5.07 × 1022
Answers
Final answer:
To calculate the concentration of oxygen in molecules per liter, we use the ideal gas law equation and substitute the given values to find the number of moles of oxygen. The concentration of oxygen is approximately 29.5 molecules per liter.
Explanation:
To calculate the concentration of oxygen in molecules per liter, we need to use the ideal gas law equation: PV = nRT. Rearranging the equation, we have n = PV/RT, where n is the number of moles of oxygen in the given volume, P is the pressure, V is the volume, R is the ideal gas constant, and T is the temperature.
Given the pressure of 739 torr, volume of 1 liter, and temperature of 29.5°C (which needs to be converted to Kelvin), we can substitute these values into the equation. The ideal gas constant R is 0.0821 L*atm/(mol*K).
Therefore, the concentration of oxygen in molecules per liter is:
n = (739 torr * 1 L) / (0.0821 L*atm/(mol*K) * (29.5+273) K)
n = 29.5
So the concentration of oxygen is approximately 29.5 molecules per liter.
how many moles are in 95 g of Na?
Answers
(Newton's Law of Motion) A person stands on a scale in an elevator. When the elevator is at rest, the scale reads 700 N. When the elevator starts to move, the scale reads 600N. (a) Is the elevator going up or down? Show your solution to support your answer. (b) What is its acceleration? ...?
Answers
The elevator is accelerating downward as the scale reads less than the person's weight. The acceleration of the elevator can be calculated using Newton's second law of motion and is approximately 1.4 m/s² downward.
Explanation:When a person stands on a scale in an elevator, the scale reading reflects the normal force, which is the force exerted by the scale on the person. If the scale reads 700 N when at rest and only 600 N when the elevator starts to move, it indicates that the elevator is accelerating downward.
This is because the normal force (and thus the scale reading) is less than the person's weight, which would only happen if the force due to acceleration opposes the force of gravity.
For part (b), to find the acceleration of the elevator, we can use Newton's second law of motion. The net force on the person can be calculated by subtracting the scale reading (the normal force) from the person's weight (gravitational force). Let m be the mass of the person and a be the acceleration. We have:
mg - FN = ma
Since mg is the weight (700 N) and FN is the scale reading (600 N):
700 N - 600 N = ma
100 N = ma
Using the given weight of 700 N and the acceleration due to gravity (9.8 m/s2), we find the mass m = 700 N / 9.8 m/s2 = approximately 71.43 kg.
Therefore, the equation becomes:
100 N = 71.43 kg * a
The acceleration a is about 1.4 m/s2 downward.
two crates, of mass 75kg and 110 kg are in contact and at rest on a horizontal surface. a 730 N force is exerted on a 75kg crate. if the coefficient of kinetic friction is 0.15, calculate (a) the acceleration of the system and (b) the force that each crate exerts on the other.
...?
Answers
To calculate the acceleration of the system, use Newton's second law of motion. The force exerted by each crate on the other is equal and opposite.
Explanation:To calculate the acceleration of the system, we need to use Newton's second law of motion, which states that the net force acting on an object is equal to the mass of the object multiplied by its acceleration. The net force acting on the system is the applied force minus the force of friction. So, the acceleration of the system can be calculated as:
Net force = Applied force - Force of friction
F_net = F_applied - F_friction
The force of friction can be calculated using the formula:
Force of friction = coefficient of friction * Normal force
Now, to calculate the force that each crate exerts on the other, we need to consider that the force exerted by one crate on another is equal in magnitude but opposite in direction. So, if we know the force exerted by one crate on the other, we can simply use Newton's third law of motion to find the force exerted by the other crate on the first crate.
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Which of the following conversion factors would you use to change 18 kilometers to meters?
A.) 1,000 m/1 km
B.) 1 km/1,000 m
C.) 100 m/1 km
D.) 1 km/100 m
Answers
from what result that 18 km = 18 000 m
hope helped
Answer:
The answer is A) 1,000 meters = 1 Kilometer.
Explanation:
To convert 18 Kilometers into meters, one would have to multiply the figure given in Kilometer by 1000.
Therefore we have 18 x 1000
= 18,000.
So 18 Kilometers is also 18,000 meters when converted.
Cheers!
What force is needed to give a 4.5 kg bowling ball an acceleration of 9 m/s^2?
Answers
F=4.5 x 9
F=40.5 Newtons
Gravitational force between two objects depends on
Answers
Answer:
SIZE AND DISTANCE BETWEEN THEM
Fine grains of beach sand are assumed to be
spheres of radius 38.9 µm. These grains are
made of silicon dioxide which has a density of
2600 kg/m3
.
What is the mass of each grain of sand?
Answer in units of kg.
...?
Answers
Which country was the first in the world to launch a mass media campaign in response to population growth?
A)India
B)China
C)Kenya
D)Australia
Answers
two campers pull a canoe. If the force of friction acting on the canoe is 84 N, then how much work does the two campers need to do to keep the canoe in the middle of the river for a displacement of 50 m?
Answers
The work done by the two campers against frictional force is 4200 Joule.
What is force?The definition of force in physics is: the push or pull on a mass-containing item changes its velocity.
An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude. The application of force is the location at which force is applied, and the direction in which the force is applied is known as the direction of the force.
A spring balance can be used to calculate the Force. The Newton is the SI unit of force.
Frictional force acting on the he canoe: F = 84 N.
Displacement of the canoe: d = 50 m.
Hence, work done by the two campers against frictional force = force × displacement
= 84 N × 50 m
= 4200 Joule.
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A force that holds atoms together is a chemical .
Answers
A force that holds atoms together is a chemical "bond".
Chemical bonds hold atoms together and make brief associations that are fundamental to life. Sorts of chemical bonds including covalent, ionic, and hydrogen bonds and London dispersion forces.
The chemical bond can be thought of as a power that holds the particles of different components together in such compounds. It opens up the likelihood of a huge number of mixes of the components, and the formation of a large number of new compounds.
Answer:
Therefore, A force that holds atoms together is a chemical bond.
Explanation:
Chemical bond : A chemical bond is a lasting attraction between atoms, ions or molecules that enables the formation of chemical compounds.
Everything in the world around us is made up of atoms, which are tiny pieces of matter. Different atoms stick together to form all kinds of things in the world. A chemical bond is formed when two or more atoms are attracted to each other and form a chemical compound.
Types of chemical bonds including:
Ionic Bonds
Covalent Bonds
What is the purpose of the universal gravitation constant in newtons law of universal gravitation?
Answers
The more appropriate reason can be to get an accurate value. Without the constant, you wont get a correct value for the gravitational force acting on an object.
Explanation : According to the law, it says that F ∝ Mm ÷ R²
Where :
F = Gravitational forceM = Mass of the first bodym = mass of the second bodyR = Distance between the 2 bodiesFor calculating the gravitational force (F), we must have an equation. According to the law, we are ain't getting any equation. Hence, we must convert it by putting a constant.
A constant is any value that is fixed, and it won't change under any circumstance. And in this case, the value of the gravitational constant (G) is 6.67 x 10⁻¹¹.
Now, here comes the final equation : F = GMm ÷ R²
Where :
F = Gravitational forceG = Gravitational constant (6.67 x 10⁻¹¹)M = Mass of the first bodym = Mass of the second bodyR = Distance between the 2 bodiesHence, the main purpose of the universal gravitational constant (G) is to have an equation, which is F = GMm ÷ R².
Concave lens cause rays to _____.
A. come together
B. reflect
C. spread apart
Answers
Surface waves move only in a back and forth motion.
True
False
Answers
As the wave interacts with a wall, which kind of wave interaction is shown?
absorption
diffraction
refraction
reflection
Answers
The kind of wave interaction shown here is reflection.
What is meant by reflection ?
Reflection is the defined as the phenomenon by which a wave bounces back when it his on a medium or a plane.
Here,
The wave is shown as incident on the wall after that it is bounced back from the surface of the wall. Since, the wave is bounced back from the surface, we can say the wave interaction happened here is reflection. The surface of the wall here acts as the reflecting surface.
The wave that incident on the surface of the wall is called the incident wave. The wave that bounced back from the surface is called reflected wave.
If we draw a perpendicular line on the reflecting surface, it can be called the normal.
According to law of reflection, the incident wave, the reflected wave and the normal, all of them lies in the same plane. Here we can see that all of them are on the same plane. So, the law of reflection is valid in this situation.
Also, here only the direction of the wave is changed, which is the property of reflection.
Hence,
The kind of wave interaction shown here is reflection.
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If Jupiter takes 9.9259 hours to rotate on its axis and has a tangential speed of 12,293 m/s what is its radius?
Answers
69,912 km !!!!!!!!!!!!!!!!!!!!!
Which of the following statements is true about solar eclipses?
There is a solar eclipse every month.
All solar eclipses are total.
Some solar eclipses are not total.
There can be 12 solar eclipses in a single year.
Answers
A basketball player, who weighs 600 newtons, jump 0.5 meters vertically off the floor. Calculate her kinetic energy just before hitting the floor.
a)300J
b)3000J
c)9.81m/s^2
d)0
Answers
Answer:
300 J
Explanation:
[tex]v = \sqrt{2gh}[/tex]
[tex]KE = \frac{1}{2}mv^{2}[/tex]
——
[tex]v = \sqrt{2(9.81 m/s^{2})(0.5 m)}\\ v = 3.13[/tex]
[tex]KE = \frac{1}{2}(61.2 kg)(3.13 m/s)^{2}\\ KE = 300 J[/tex]
Kinetic energy of an object is calculated from its mass and velocity. The mass of the player is 61.2 g and the velocity is 3.13 m/s. Then the kinetic energy of the basketball player is 300 J.
What is kinetic energy?Kinetic energy of an object is generated by virtue of its motion. Kinetic energy depends on the mass and velocity of the body by the expression:
K = 1/2 mv².
Given the weight = 600 N
mass = 600 N/9.8 m/s²= 61.2 kg
height = 0.5 m
velocity = √2gh
= √(2×9.8 m/s² × 0.5 m ) = 3.13 m/s
Then, kinetic energy of the player = 1/2 61.2 kg × 3.13 × 3.13
k = 300 J.
Therefore, the kinetic energy of the basketball player is 300 J.
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If the kinetic and potential energy in a system are equal, then the potential energy increases. What happens as a result?
Answers
If potential energy in a system increases while its total mechanical energy remains constant, kinetic energy decreases equivalently. This exchange between kinetic and potential energy is an example of the conservation of mechanical energy. Changes in internal energy may also manifest as a change in temperature or energy within the system's structure.
When the potential energy in a system increases without a change in the mechanical energy (assuming no energy is lost to friction), the kinetic energy would decrease equivalently to conserve the total mechanical energy of the system. This is in accordance with the principle of conservation of energy. If an object, for example, is at a certain height above the ground and it is raised further, its potential energy increases due to its position. Consequently, if the object is in free fall, as the potential energy decreases, the kinetic energy increases until the object reaches ground level, where potential energy is at its minimum while kinetic energy is at its maximum.
When the potential energy in a system increases with kinetic energy being equal, it means the internal energy of the system is rising. This increase can be due to an increase in internal potential energy, internal kinetic energy, or both. The work done on the system equals the increase in internal energy.
Moreover, any increase in a system's internal energy that does not result in elevation or speed gain could translate to an increase in internal potential energy or internal kinetic energy, or both. An increase in the internal kinetic energy would generally be observed as an increase in temperature, while an increase in internal potential energy might be observed as energy stored within the structural or molecular configuration of the system.
If we apply this to the scenario of a child on a swing, as the child swings downward, the potential energy (due to height) decreases while kinetic energy increases. Conversely, as the child swings upward, the kinetic energy decreases and potential energy increases.
This is a depiction of 2 forces acting on a puck (top view). Which direction would a 3rd force have to be to balance the forces? [picture below]
Answers
If element X has 99 protons, how many elctrons does it have?
Answers
so the number of electrons in this case is 99
A youngster throws a rock from a bridge into the river 50 m below. The rock has a speed of 15 m/s when it leaves the youngster’s hand. Calculate the velocity of the rock when it strikes the water if it is thrown upward.
...?
Answers
so 0.5 v^2 = 612.5so v^2 = 1225so v = 35 m/s
Which electrical protective device is designed to detect a difference in current between circuit wires and interrupt the circuit and stop the flow of electricity?
a. attach ungrounded, two-prong adapter plugs to three-prong cords and tools
b.do not operate electrical equipment when working in wet conditions
c. hold fingers on the switch while carrying a plugged-in tool
d. use gfci only when using double insulated power tools
Answers
The choices you posted seem to belong to a different question.
When a substance undergoes a phase change it still has a definite....