Answer:
Explanation: POTENTIAL ENERGY is stored energy, energy ready to go. A race car at the starting line of a race, a bicycle on top of a hill, and students waiting to go home from school are all examples of potential energy.
A moving bicycle has mechanical energy. When you apply the brakes, the bicycle's mechanical energy is not destroyed. The mechanical energy is transformed into thermal energy. Friction between the brake pad of a car and the moving wheel transforms mechanical energy into thermal energy (heat).
During braking, 60% of the kinetic energy of the bicycle and rider is converted to thermal energy in the brake blocks.
A person throws an object into the air going 12 m/s. It lands back on the ground. Calculate the time it was in the air. Use the following equation to solve for the answer. vf = vi + at (g = -10 instead of -9.8)
The time for which the ball remains in air and finally lands back on the ground will be 1.2 m/s.
What is Velocity?Velocity is the directional speed of an object which is in motion as an indication of the rate of change in position of the object as observed from a particular frame of reference and as measured by a particular standard of time.
Vf = Vi + at
where, Vf is the final velocity,
Vi is the initial velocity,
a is the acceleration,
t is the time taken
Since, the object lands back on the ground. The final velocity of the object will be zero.
Vf = 0 m/s
12 = 0 + (-10)t
12 = -10t
t = -12/ 10
t = -1.2 sec
Therefore, the time taken will be 1.2 seconds.
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According to dalton's law of partial pressures, the pressure of oxygen in dry air would be.
The pressure of oxygen in dry air at standard atmospheric pressure is approximately 22.3 kilopascals.
What is Dalton's law of partial pressure?The overall pressure of a gas mixture is equal to the sum of the partial pressures of each gas in the mixture, according to Dalton's law of partial pressures.
With a few other gases present in trace levels, nitrogen and oxygen make up roughly 78% and 21% of the atmosphere, respectively, in dry air.
As a result, using Dalton's law, the pressure of oxygen in dry air can be computed as follows:
Total pressure of dry air equals the pressure of nitrogen, oxygen, and any additional gases.
Total pressure of dry air = pressure of nitrogen + pressure of oxygen
Pressure of oxygen = Total pressure of dry air - pressure of nitrogen
= 101.3 kPa - 79 kPa
= 22.3 kPa
Thus, this is the pressure of oxygen in dry air.
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the way an object appears to move across the sky defintion
Answer:
the apparent displacement or the difference in apparent direction of an object as seen from two different points not on a straight line with the object.
T/F : when two batteries are connected as a series additive power source, they produce a voltage that is less than either of the batteries connected by itself.
This statement is False as batteries connected as a series additive power source doesn't produce a voltage that is less than either of the batteries connected by itself.
The battery is a tool for powering electrical appliances that is made up of one or more electrochemical cells with external connections. Batteries in a specific circuit are either connected in series or parallel depending on how many there are. It is essential to comprehend the differences between series and parallel connections since they affect how batteries function in various applications. Batteries can be linked in both series and parallel configurations. A battery with this configuration is known as a series-parallel battery. Occasionally the load may need more voltage and current than a single battery cell is capable of providing. The desired number of batteries are coupled in series to produce the necessary current, and these series combinations are connected in parallel to produce the necessary load voltage.
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Find a function that models the simple harmonic motion having the given properties. Assume that the displacement is at its maximum at time t = 0.
amplitude 6.45 in., frequency 30 Hz
The function for the simple harmonic motion having the given properties. Assume that the displacement is at its maximum at time t = 0 is y = 6.45 cos(60π*t).
Moving an object back and forth along a line is known as simple harmonic motion.
See a pendulum, for instance. It follows the same path when we swing it back and forth. Oppositions are what these motions are. A simple harmonic motion example is the oscillations of a pendulum.
[tex]y=Acos(Bt)[/tex]
has amplitude |A| and period 2π/B, and reaches its maximum at t=0.
So we choose A = 6.45
Period = 1/frequency
Period = 2π/B = 1/30
2π/B = 1/30
B = 60π
y = A.cos(Bt)
y = 6.45 cos(60π*t)
Therefore, The function for the simple harmonic motion is y = 6.45 cos(60π*t).
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what is kinematics?
;-;
Answer:
The branch of mechanics concerned with the motion of objects without reference to the forces which cause the motion.
If a ball rolls 35 can in 2.1 seconds, what is the velocity of the balls?
Answer:
16.67 cm/s
Explanation:
To calculate the velocity of the ball, we need to divide the distance it travels by the time it takes to travel that distance.
velocity = distance / time
So for the ball that rolls 35 cm in 2.1 seconds, the velocity can be calculated as follows:
velocity = 35 cm / 2.1 s = 16.67 cm/s
So the velocity of the ball is 16.67 cm/s. Note that the unit of velocity is distance per time, in this case cm/s.
WRITE ABOUT HOW YOU THINK PEOPLE CAN MAKE CHANGES TO IMPROVE THE
ENVIRONMENT IN THE UNITED STATES
Environmentally responsible involves more than just avoiding plastic bags; it also means making daily decisions that, quite literally, will determine whether or not we succeed as a species.
What is Enviornment?We can slow the pace of climate change by becoming more aware of how we can reduce pollution, safeguard species, conserve natural resources, and take other steps.
Everyone can make a difference, especially when wise environmental decisions become routine and perhaps even start inspiring others to follow suit.
Even immediate personal advantages can result from acting morally in favor of the future of life on Earth. It can help you express your creativity, become more involved in your community and the wider world, and lead to a healthier living.
Therefore, Environmentally responsible involves more than just avoiding plastic bags; it also means making daily decisions that, quite literally, will determine whether or not we succeed as a species.
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4. A skier with a mass of 55 kg is skiing down a snowy slope that has an incline of 30°. Find the coefficient of kinetic friction for the skier if friction is known to be 25 N.
The coefficient of kinetic friction for the skier if the magnitude of frictional force is 25N will be 0.04638.
What is Kinetic friction?Kinetic friction can be defined as a force which acts between the moving surfaces. A object moving on the surface experiences a force in the opposite direction of the movement. The magnitude of the force will also depend on the coefficient of kinetic friction between the two objects.
F = μk Fn
where, F is the frictional force,
μk is the coefficient of kinetic friction,
Fn is the normal force
Fn = mass × acceleration due to gravity
Fn = 55 × 9.8
Fn = 539N
F = μk Fn
F = 25N,
25 = μk × 539
μk = 25/ 539
μk = 0.04638
Therefore, the coefficient of kinetic friction will be 0.04638.
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A transformer has a primary coil with 400 turns of wire and a secondary coil with 1,600 turns. An AC generator connected across the primary coil has a voltage given by the function Δv = (180 V)sin(t).
What rms voltage (in V) is measured across the secondary coil?
Why was it difficult for american ground forces to clear areas of guerrillas in north vietnam? select two answers. The guerrillas hid themselves from american forces. The north vietnamese guerrillas were more capable fighters. The north vietnamese guerrillas had superior weapons. The guerrillas fled while the ground forces were in their area.
American ground forces did not conduct operations in North Vietnam during the Vietnam War. The US military mainly operated in South Vietnam, where they faced the Viet Cong, a guerrilla force that was supported by the North Vietnamese Army.
The guerrillas hid themselves from American forces: The Viet Cong employed guerrilla tactics such as hit-and-run attacks, ambushes, and blending in with the local population, which made it difficult for American forces to locate and engage them. They also built an extensive network of tunnels and underground bases, which allowed them to evade detection and launch surprise attacks.
The Viet Cong were more capable fighters: The Viet Cong were highly motivated and dedicated fighters who were willing to endure extreme hardship to achieve their objectives. They were also intimately familiar with the terrain, which gave them an advantage over the American forces, who were fighting in an unfamiliar environment. Additionally, the Viet Cong had the support of the local population, which allowed them to blend in and gather intelligence.
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A bag of cookies 6 oatmeal cookies, 5 pecan cookies and 1 peanut butter cookies. Mary selects 2 cookies at random. What is the probability that the selected 2 oatmeal cookies?.
The probability that the selection is made of 2 oatmeal cookies are 1/6.
As per given data in the question:
Oatmeal cookies - 6
Pecan Cookies - 5
Peanut butter cookies - 1
Total cookies in the jar - 12
The probability that the selection is of 2 oatmeal cookies, it is as follows:
P (oatmeal cookies) = 2/12 = 1/6
Probability deals with the likelihood of an event or phenomena occurring and is quantified as a number between 0 and 1 inclusive, where 0 indicates an impossible chance of occurrence and 1 denotes the certain probable outcome of an event.
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Four small spheres, each charged to +15 nC, form a square 2.0 cm on each
side. From far away, a proton is shot toward the square along a line perpendicular to the square and passing through its center. What minimum initial speed does the proton need to pass through the square of charges?
The minimum initial speed of the proton needed to pass through the square of charges is 5.09 x 10^6 m/s.
Describe Charge?Charge is a fundamental physical property of matter that describes the degree to which it interacts with electromagnetic fields. It is an intrinsic property of subatomic particles, such as protons and electrons, that gives rise to electric and magnetic forces.
The basic unit of charge is the Coulomb (C), named after the French physicist Charles-Augustin de Coulomb, who first quantified the electric force between charged objects. A single proton or electron has a charge of approximately 1.6 x 10^-19 Coulombs.
Electric charge is conserved, which means that the total amount of charge in a closed system remains constant over time. Charges can be positive, negative, or neutral, and like charges repel each other, while opposite charges attract each other.
Charge is an important property in many areas of physics, including electromagnetism, quantum mechanics, and particle physics. It is also a crucial concept in many practical applications, such as electronics, power generation, and communication systems.
We can solve this problem using the principle of conservation of energy. The initial kinetic energy of the proton must be equal to the work done by the electrostatic force of the charged spheres on the proton as it passes through the square.
The electrostatic force between two charges q1 and q2 separated by a distance r is given by Coulomb's law:
[tex]F = k * q1 * q2 / r^2[/tex]
where k is the Coulomb constant, which has a value of
[tex]8.99 x 10^9 N m^2 / C^2.[/tex]
Since the four spheres are identical and equally spaced, the electrostatic force on the proton due to each sphere will have the same magnitude and direction. We can calculate the force on the proton due to one sphere and multiply by 4 to get the total force:
[tex]F = 4 * k * q * q_p / r^2[/tex]
where q is the charge on each sphere (+15 nC), q_p is the charge on the proton (-1.6 x 10^-19 C), and r is the distance from the center of the square to the proton's initial position (which we will assume is the same as the distance from the center of the square to the closest sphere, which is sqrt[tex](2)/2 * 0.02 m = 0.0141 m).[/tex]
The work done by the electrostatic force as the proton passes through the square is:
W = F * d
where d is the length of the square (2 cm = 0.02 m).
Equating the initial kinetic energy of the proton to the work done by the electrostatic force, we get:
[tex](1/2) * m * v_i^2 = 4 * k * q * q_p * d / r^2[/tex]
where m is the mass of the proton (1.67 x 10^-27 kg) and v_i is the initial speed of the proton.
Solving for v_i, we get:
[tex]v_i = sqrt(8 * k * q * q_p * d / (m * r^2))[/tex]
Plugging in the values, we get:
[tex]v_i = sqrt(8 * 8.99 x 10^9 N m^2 / C^2 * 15 x 10^-9 C * 1.6 x 10^-19 C * 0.02 m / (1.67 x 10^-27 kg * (0.0141 m)^2))v_i = 5.09 x 10^6 m/s[/tex]
Therefore, the minimum initial speed of the proton needed to pass through the square of charges is [tex]5.09 x 10^6 m/s.[/tex]
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Which of the following statements concerning momentum is true?*
A.Momentum is a scalar quantity.
B.The momentum of an object is always positive.
C.Momentum is a force.
D.Momentum is a vector
E.The SI unit of momentum is the Newton.
Answer:
D. it is vector
Explanation:
Well it have both direction and magnitude
It's direction is same as the direction of velocity
Gulliver's travels which has this fantasy of the whole island of laputa, floating in air.
Could magnets be involved?
Answer:
In Gulliver's Travels, the floating island of Laputa is described as being suspended in the air without any visible means of support, and there is no explicit mention of magnets being involved in its levitation. However, it is worth noting that during the 18th century, when Jonathan Swift wrote the novel, there was a growing interest in the properties of magnets and their potential applications in various fields, including navigation, medicine, and even levitation. In fact, some scholars have suggested that Swift may have been inspired by the popular beliefs and speculations about magnets and their possible effects on gravity and motion.
It's not possible to accurately determine how many magnets would be required to make Laputa, the floating island in Gulliver's Travels, suspended in the air because the idea of a floating island is purely fictional and not based on any known physical principles or scientific laws.
Even if we assume that magnets were involved in the levitation of Laputa, it would depend on a wide range of factors, including the size and weight of the island, the strength and orientation of the magnets, the distance between the magnets and the island, and other variables that are not specified in the novel.
Furthermore, magnets by themselves do not have the power to suspend large objects in mid-air. While magnets can be used to create magnetic levitation, or maglev, for small objects like trains or toy cars, the magnetic fields required to lift an entire island would be orders of magnitude larger and more complex than anything currently feasible with our technology.
In short, the idea of Laputa as a floating island is best understood as a literary and imaginative device, rather than a scientifically plausible concept.
That being said, it's important to remember that Gulliver's Travels is a work of fiction and should be enjoyed primarily as a literary creation, rather than a scientific treatise. The idea of a floating island is a fantastical element that serves to underscore Swift's satirical commentary on various aspects of contemporary society and politics. While it is certainly possible to speculate on the mechanics of how such an island might actually levitate, this is not necessarily the most fruitful or rewarding approach to engaging with the novel's themes and meanings.
A planet of mass 6 × 10^24 kg is at location ‹ −3 × 10^11, 8 × 10^11, 0 › m. A star of mass 7 × 10^30 kg is at location ‹ 7 × 10^11, −5 × 10^11, 0 › m. What is the force exerted on the planet by the star? (It will probably be helpful to draw a diagram, including the relevant vectors.)
The force exerted on the planet by the star is 3.52 x 10²² N.
What is Newton's law of gravitation?Newton's law of gravitation is a fundamental law of physics that describes the force of gravitational attraction between two objects with mass. The law was first described by Sir Isaac Newton in 1687 and is one of the three laws that form the basis of classical mechanics.
To find the force exerted on the planet by the star, we can use Newton's law of gravitation, which states that the force between two objects with masses M1 and M2 and a distance r between their centers is given by:
F = G × M1 × M2 / r²
where G is the gravitational constant, which has a value of 6.67 x 10⁻¹¹ N*m²/kg².
We can first calculate the distance between the planet and the star by taking the difference between their positions:
r = √[(7 x 10¹¹ - (-3 x 10¹¹))² + (-5 x 10¹¹ - 8 x 10¹¹)² + 0²] = 1.38 x 10¹² m
Next, we can calculate the force exerted on the planet by the star:
F = G × M1 × M2 / r²
F = (6.67 x 10⁻¹¹ N*m²/kg²) × (6 x 10²⁴ kg) × (7 x 10³⁰kg) / (1.38 x 10¹² m²)
F = 3.52 x 10²²N.
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A piece of gold-alminium alloy weighs 49N. When suspended from a spring balance and submerged in water it weighs 39.2N. What is the weight of Gold in the alloy the specific gravity of gold is 19.3 and that if aluminium is 2.5?
Answer:
The mass of the water in 1 kg (9.8 N = m (9.8 m/s/s)),
Thus the volume of the water is 1000 ml.
5 = (Mau + Mal)/(Vau + Aal)
(Density = total mass to the total volume)
We know that:
19.2 = Mau/Vau and 2.5 = Mal/Val.
We have to find the volume. Therefore,
5Val + 5Vau = Mau + Mal
5(Mal/2.5) + 5(Mau/19.2) = Mau + Mal
Mal = 0.74 Mau
5 kg = M(au) + (1/.74)M(au)
=> M(au) = 2.13 kg
Weight of gold = 20.8 N
hence the weight of the gold is 20.8 N
A small glass bead has been charged 3 60nCA small metal ball bearing 2.60 cm above the bead feels a 1.8 * 10 2 * N downward electric force
Answer:
The electric field strength at the location of the metal ball bearing is 1.8 * 10^2 N/C.
3. Suppose the speed of light were 1000 mi/h. You are traveling on a flight from Los Angeles to Boston, a distance of 3000 mi. The plane’s speed is a constant 600 mi/h. You leave Los Angeles at 10:00 am, as indicated by your wrist watch and by a clock in the airport. (a) According to your watch, what time is it when you land in Boston? (b) In the Boston airport is a clock that is synchronized to read exactly the same time as the clock in the Los Angeles airport. What time does that clock read when you land in Boston
The clock will read 5.88 hours when you land in Boston. If the speed of light were 1000mi/h when traveling in a flight from Los Angeles to Boston.
TimeIt is assumed that,
The speed of light, c, is equal to 1000 mph.
D = 2900 mi for distance
A plane's speed is 510 miles per hour.
(A) Assume that the time on your watch is and the time on the clock in the Los Angeles airport is, respectively. Using Einstein's theory of relativity, it can be calculated as follows: t= t0/1- v2/c
t= d/v and t0 = t1 - v2/c
.............(1)
t=2900 mi/510 mi/hr t=5.68 hrs
Equation (1) is transformed to: t0= 5.681-5102/1000 t0= 4.88 hours.
(b) According to a clock at the Los Angeles airport, the time was: t= 2900 miles/510 miles per hour; t= 5.68 hours.
Therefore, this is the necessary solution.
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Explain how the state of consciousness ( focused awareness, drifting consciousness,divided consciousness, and altered consciousness) differs from each other?
Consciousness is our current awareness of ourselves and of the world around us.
Focused awareness is a state of heightened alertness we experience when completely absorbed in a task or activity.
Drifting consciousness is a state of awareness characterized by drifting thoughts or mental imagery.
Divided consciousness is a psychological state in which one's consciousness is split into distinct components, possibly during hypnosis
An altered consciousness is a change in one's normal mental state as a result of trauma or accident or induced through meditation, drugs, some foods, etc.
What is the state of consciousness?
Our level of awareness of internal events and external surroundings is known as a state of consciousness. States of consciousness can also be divided into two broad categories – normal waking consciousness and altered states of consciousness.
What are the seven states of consciousness?
The seven states of consciousness are: waking, dreaming, sleeping, transcendental consciousness, cosmic consciousness, God consciousness, and unity consciousness.
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37. Un beisbolista atrapa una bola 3. 0 s después de lanzarla verticalmente hacia arriba. ¿Con qué rapidez la lanzó y qué altura alcanzó?
A baseball player catches a ball 3. 0 s after throwing it vertically upwards. With what speed did he throw it and what height did it reached?
Por lo tanto, la pelota fue lanzada con una velocidad inicial de 14.7 m/s y alcanzó una altura máxima de 11.3 m.
¿Cuál es la velocidad?Generally, Para resolver este problema, necesitamos conocer la relación entre la velocidad inicial con la que se lanza la pelota y la altura máxima que alcanza. Podemos usar las ecuaciones de movimiento para un objeto que se mueve verticalmente con aceleración constante.
Primero, consideremos el momento en que la pelota es lanzada. En ese momento, la velocidad inicial de la pelota es v0, que es lo que estamos buscando. Usando la ecuación de posición vertical:
y = v0t - 1/2gt^2
donde y es la altura alcanzada, t es el tiempo transcurrido, y g es la aceleración debido a la gravedad (-9.8 m/s^2), podemos despejar v0 en términos de y y t:
v0 = (y + 1/2gt^2) / t
Ahora, consideremos el momento en que la pelota es atrapada, 3.0 s después de ser lanzada. Sabemos que en ese momento, la velocidad vertical de la pelota es cero, ya que está en su punto más alto. Usando la misma ecuación de posición vertical, pero estableciendo y = 0 y v = 0, podemos encontrar el tiempo que tarda la pelota en llegar a su altura máxima:
0 = v0t - 1/2gt^2
t = 2v0/g
Sustituyendo este valor de t en la ecuación anterior, podemos encontrar la altura máxima que alcanza la pelota:
y = v0(2v0/g) - 1/2g(2v0/g)^2
y = v0^2/2g
Ahora podemos calcular los valores numéricos. Si asumimos que la altura a la que el jugador atrapa la pelota es la misma que la altura máxima alcanzada por la pelota, y tomamos g = -9.8 m/s^2, entonces:
v0 = (y + 1/2gt^2) / t = (0 + 1/2(-9.8 m/s^2)(3.0 s)^2) / 3.0 s = 14.7 m/s
y = v0^2/2g = (14.7 m/s)^2 / (2(-9.8 m/s^2)) = 11.3 m
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how crumple zones and air bags can reduce the chance of death or injury using the principle of physics
The principle of physics behind crumple zones and airbags design is to dissipate the force of an impact over a larger area, reducing the maximum force experienced by the occupants of the car.
What are crumple zones and air bags?Crumple zones and airbags are two important safety features in modern cars that reduce the chance of death or injury in the event of a collision.
Crumple zones work by collapsing in a controlled manner during a collision. The energy of the impact is absorbed by the deformation of the metal, reducing the force experienced by the passengers.
Airbags work by rapidly inflating in the event of a collision, cushioning the occupants of the car and reducing the force they experience. This works by distributing the force of the impact over a larger area, reducing the maximum force experienced by the body.
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Let E-> =3i^+1j^ and F -> =1i^−3j^. (Note: the -> means it is above the letter!)
A. Find the magnitude of E -> .
B. Find the magnitude of F ->.
C. Find the magnitude of G -> = E-> +F -> .
D. Find the magnitude of H-> =−E -> −2F -> .
A. the magnitude of E -> is √10.
B. the magnitude of F -> is √10
C. the magnitude of G -> = E-> +F -> is √20
D. the magnitude of H-> =−E -> −2F -> is √50.
What is magnitude?The magnitude or size of a mathematical object is described as a property which determines whether the object is larger or smaller than other objects of the same kind.
A. The magnitude of the vector E -> is given by the formula:
|E -> | = √(3^2 + 1^2) = √(9 + 1) = √10
So, the magnitude of E -> is √10.
B. The magnitude of the vector F -> is given by the formula:
|F -> | = √(1^2 + (-3)^2) = √(1 + 9) = √10
So, the magnitude of F -> is √10.
C. The magnitude of the vector G -> is given by the formula:
G -> = E-> + F ->
|G -> | = √((3 + 1)^2 + (1 - 3)^2) = √(4^2 + (-2)^2) = √(16 + 4) = √20
So, the magnitude of G -> is √20.
D. The magnitude of the vector H -> is given by the formula:
H -> = -E-> - 2F->
|H -> | = √((-3 - 2 * 1)^2 + (-1 - 2 * -3)^2) = √((-5)^2 + 5^2) = √50
So, the magnitude of H -> is √50.
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Use Newton's Second Law Analysis combined with torque to solve the following problem.
Three masses are attached to a uniform meter stick, as shown in the figure to your right. The mass of the meter stick is 200.0 g and the masses to the left of the fulcrum are m1 = 75.0g and m2=100.0g. Don't forget the meter stick has mass.
a) What is mass m3 that balances the system when it is attached at the right end of the stick. The resulting system is balanced.
b) What is Force the fulcrum exerts on the meter stick at point S?
5.8N. is the correct answer .
What is Torque ?
In physics and engineering, "torque" is a measure of the twisting force that can cause an object to rotate around an axis or pivot point The magnitude of torque depends on both the force being applied and the distance between the axis of rotation and the point of application of the force. The direction of the torque is determined by the right-hand rule, with the thumb pointing in the direction of the applied force and the fingers curling in the direction of rotation. Torque is a key concept in the study of mechanics and is used in a wide range of applications, such as engines, motors, and machines.
τ1=+r1w1sin90=+r1m1g(counterclockwise rotation, positive sense)
τ2=+r2w2sin90°=r2m2g(counterclockwise rotation, positive sense)
τ=+rwsin90°=+rmg(gravitational torque)
τS=rSFSsinθS=0(because S=0cm)τ3=−r3w3sin90°=−r3m3g(clockwise rotation, negative sense)
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The momentum of an object is calculated by?
A.multiplying mass by acceleration.
B.dividing force by acceleration.
C.dividing mass by velocity.
D.multiplying mass by velocity.
D. Multiplying mass by velocity.
The momentum of an object is a measure of its motion and is defined as the product of its mass and velocity. It is a vector quantity, meaning it has both magnitude and direction.
The formula for momentum is given by p = mv, where p is the momentum, m is the mass of the object, and v is its velocity. So, the momentum of an object can be calculated by multiplying its mass by its velocity.
Option A is incorrect because momentum is not simply the product of mass and acceleration. Option B is incorrect because force is not directly related to momentum. Option C is incorrect because dividing mass by velocity does not give momentum, it gives the velocity of the object.
A grandfather clock pendulum reaches a maximum height of 18
cm each swing. If the mass of the pendulum bob is .85 kg,
what is the maximum potential energy for the pendulum bob?
J
The maximum potential energy for the pendulum bob is approximately 1.3817 J.
What is Potential Energy ?
Potential energy is a form of energy that an object possesses by virtue of its position, shape, or configuration. It is the energy that an object has due to the work done on it, or that it can do due to its position or state. The potential energy of an object is often associated with the force that acts on it.
The maximum potential energy for the pendulum bob can be calculated using the formula:
Potential energy = mgh
where m is the mass of the pendulum bob, g is the acceleration due to gravity, and h is the maximum height reached by the pendulum.
In this case, the mass of the pendulum bob is 0.85 kg, the maximum height reached by the pendulum is 18 cm or 0.18 m, and the acceleration due to gravity is 9.81 m/s^2. Substituting these values into the formula, we get:
Potential energy = 0.85 kg x 9.81 m/s^2 x 0.18 m
Potential energy = 1.3817 J (rounded to four decimal places)
Therefore, the maximum potential energy for the pendulum bob is approximately 1.3817 J.
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OBJECT A 24 lb. turkey on Saturn UNIVERSAL GRAVITATION CONSTANT-G 6.673x10 M₁ = mass of planet (in kg) -11 Nm² 5.683x10²6 kg kg 26 M₂= object (in kg) = mass of d = distance between the center of 2 objects (in m) (sometimes we use "r" for radius) 58,232 km SHOW WORK F, gray = force due to gravity (in N)
The force due to gravity acting on a 24 lb. turkey on Saturn is approximately 1.253 N.
What is the gravitational force?
To calculate the force due to gravity (F) acting on the 24 lb. turkey on Saturn, we need to use the formula for the gravitational force:
F = G * M₁ * M₂ / d²
where;
G is the universal gravitational constant, M₁ is the mass of Saturn, M₂ is the mass of the turkey, and d is the distance between the center of Saturn and the turkey.First, we need to convert the mass of the turkey from pounds to kilograms:
24 lb = 10.89 kg
Next, we need to convert the distance between Saturn and the turkey from kilometers to meters:
58,232 km = 5.8232 x 10⁷ m
Now we can substitute the values into the formula:
F = 6.673 x 10^-11 Nm²/kg² * 5.683 x 10²⁴ kg * 10.89 kg / (5.8232 x 10⁷ m)²
Simplifying this expression, we get:
F = 1.253 N
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Newton’s second law of motion states the relationship of mass, acceleration, and force. It says that ______
A.force equals mass divided by acceleration
B. force equals mass multiplied by acceleration
C. acceleration equals force multiplied by mass
D. every object attracts every other object in the universe
Answer:
B. force equals mass multiplied by acceleration
Explanation:
Newton's second law of motion states that the acceleration of an object equals the net force acting on the object divided by the object's mass. According to the second law, there is a direct relationship between force and acceleration and an inverse relationship between mass and acceleration.
Newton's second law of motion is F = ma, or force is equal to mass times acceleration.
ASAP PLEASE HELP!!!!
A 3.0 kg object swings back and forth as a simple pendulum with a small amplitude. The potential energy U of the object as a function of distance x from its equilibrium position is shown above. This particular object has a total energy E of 0.4 J.
b) What is the farthest the object moves along the x-axis in the positive direction? Explain your reasoning.
The farthest that particular object will move along the x-axis in the positive direction is 0.2 m. This is the amplitude of the pendulum's motion.
What is potential energy?Potential energy in physics is the energy that an item retains as a result of its position in relation to other objects, internal tensions, electric charge, or other elements.
Since the total energy of the object is given by E = U + K, where U is the potential energy and K is the kinetic energy, and the pendulum has a small amplitude, we can assume that the kinetic energy of the object is negligible.
Therefore, we have:
E = U = [tex](1/2)kx^2[/tex]
Khere k is the spring constant of the pendulum and x is the displacement from the equilibrium position.
So, the value of x can be:
x = sqrt(2E/k)
Substituting the given values, we have:
x = sqrt(2(0.4 J)/(20 N/m)) = 0.2 m
Thus, the farthest the object moves along the x-axis in the positive direction is 0.2 m.
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The
The leader of a bicycle race is traveling with a constant velocity of +11.1 m/s and is 9.60 m ahead of the second-place
second-place cyclist has a velocity of +9.80 m/s and an acceleration of +1.20 m/s². How much time elapses before he catches the
leader?
Answer:
We can use the following kinematic equation to solve the problem:
Δx = v1(t) + (1/2)a2t²
where Δx is the initial separation between the two cyclists, v1 is the velocity of the leader, a2 is the acceleration of the second-place cyclist, and t is the time taken for the second-place cyclist to catch up with the leader.
Substituting the given values, we get:
9.60 m = (11.1 m/s)t + (1/2)(1.20 m/s²)t²
Simplifying and rearranging the equation, we get a quadratic equation in t:
0.6t² + 11.1t - 9.60 = 0
We can solve for t using the quadratic formula:
t = [-11.1 ± √(11.1² - 4(0.6)(-9.60))] / (2(0.6))t = [-11.1 ± 12.7] / 1.2
t = 0.91 s or t = -18.43 s
Since time cannot be negative, we can discard the negative solution. Therefore, the time taken for the second-place cyclist to catch up with the leader is:
t = 0.91 s
Hence, it will take 0.91 s for the second-place cyclist to catch up with the leader.
Explanation:
