The dot product of the force and the displacement of the force point is used to calculate the amount of work done by force. In the case of angular motion, torque takes the place of force and angular displacement of linear displacement.
Typically, the product of r and F is used to represent torque. τ = r × F = r F sinθ
The torque's work is equivalent to the body's change in rotational kinetic energy.
As you apply a force somewhere and move a distance, there is a connection between torque and work. Torque, however, is merely a proximate indicator of force.
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A 89.3 kg man sits on the stern of a 5.8 m long boat. The prow of the boat touches the pier, but the boat isn’t tied. The man notices his mistake, stands up and walks to the boat’s prow, but by the time he reaches the prow, it’s moved 4.17 m away from the pier.
Assuming no water resistance to the boat’s motion, calculate the boat’s mass (not counting the man).
Answer in units of kg.
The mass of the boat is 124.2 kg.
What is the mass of the boat?The mass of the boat is calculated by applying the principle of conservation of linear momentum as follows;
momentum of the man = momentum of the boat
m₁v₁ = m₂v₂
where;
m₁ is the mass of the manm₂ is the mass of the boatv₁ is the speed of the manv₂ is the speed of the boatSince speed is directly proportional to distance, our new equation becomes;
m₁d₁ = m₂d₂
m₂ = ( m₁d₁ ) / ( d₂ )
m₂ = ( 89.3 x 5.8 ) / ( 4.17 )
m₂ = 124.2 kg
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An object of mass 1.2 kg is moving with a velocity of 2.0m/s when it is acted on by a force of
4.0 N. The velocity of the object increases to 5.0 m/ S.
For what period of time does the force act on the obiect?
Answer:
[tex]\huge\boxed{\sf t = 0.9 \ s}[/tex]
Explanation:
Given Data:Mass = m = 1.2 kg
Initial Velocity = [tex]V_i[/tex] = 2.0 m/s
Final Velocity = [tex]V_f[/tex] = 5.0 m/s
Force = F = 4.0 N
Required:Time = t = ?
Formula:[tex]\displaystyle F=\frac{m(V_f-V_i)}{t}[/tex]
Solution:Put the given data in the above formula
[tex]\displaystyle 4=\frac{1.2(5-2)}{t} \\\\4=\frac{1.2(3)}{t} \\\\4=\frac{3.6}{t} \\\\Multiply \ t\ to \ both \ sides\\\\4t = 3.6\\\\Divide \ both \ sides \ by \ 4\\\\t=3.6/4\\\\t = 0.9 \ s \\\\\rule[225]{225}{2}[/tex]
Answer:
0.9s
Explanation:
SolutionThis question tests on the concept of the Kinematics Equations.
Given information from the question,
we can use the equation:
v = u + at
where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time taken.
We also need the equation: F = ma,
where F is the force applied, m is the mass the object, and a is acceleration.
We first find the acceleration of the object.
F = ma,
4N = (1.2kg) × a
a = 4 ÷ 1.2 =
[tex]3 \frac{1}{3} \frac{m}{ {s}^{2} } [/tex]
Now with the acceleration, we can find the time taken for the acceleration to take effect.
v = u + at,
[tex]5 = 2 + (3 \frac{1}{3} )t \\3 \frac{1}{3} t = 3 \\ t = 3 \div 3 \frac{1}{3} = 0.9s[/tex]
Therefore time taken = 0.9s
What are used for heavy torque transmission Mcq?.
High torque transmission is possible with gear couplings. They are therefore utilized in heavy-duty applications.
Torque: What does that mean?Generally speaking, torque seems to be a twisting of turning force and tends to create rotation along an axis, which could be a fixed point or the center of mass. The capacity of a spinning object, such as a gear or perhaps a shaft, can overcome turning resistance is another way to conceptualize torque.
To know more aWhat does torque mean for beginners in cars?When an engine strains itself, torque—a twisting force that refers to the rotational force—measures the amount of that bending force that is accessible. Everyday activities like turning a door, opening a drink bottle, to use a wrench, or peddling a bicycle all involve some kind of torque.
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Two small objects, with masses m and m, are originally a distance r apart, and the magnitude of the gravitational force on each one is f. the masses are changed to 2m and 2m, and the distance is changed to 4r. what is the magnitude of the new gravitational force?
The magnitude of the new gravitational force is F' = 32 F when the masses are changed to 2m and 2m, and the distance is changed to 4r.
The universal Gravitational Force can be formulated by, F = G M₁ M₂ / d²
As per the data we know that,
M₁ = m
M₂ = m
d₁ = r
F₁ = F
M₂ = 2m
d = (r/4)
F₂ = ?
i) Original force
F₁ = G (m)(m) / r² = G m² / r² = F
ii) Modified force
F₂ = G (m)(2m) / (r/4)² = G 2m² / (r² / 16) = 32 [Gm² / r²] = 32 F
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What is the first velocity of the car with one washer at the 0. 25 m mark?.
First velocity of the car with one washer attached to a pulley is v1 = 0.25 m / t1, where t1 the average times the car took to reach the 0.25 m mark.
The velocity at time interval t = 0 is represented by the symbol u. It is the speed which shows that the motion has begun. There are four different initial velocity formulas: (1) If time, acceleration, and final velocity are given, the initial velocity is expressed as u = v - at.
The final velocity, on the other hand, is a vector quantity that determines the speed and direction of a body in motion after it has reached maximum acceleration.
The velocity of a body at any given time is known as instantaneous velocity. Average velocity is defined as total displacement divided by total time and can be calculated as v = x/t, where x is the total displacement of the body and t is the time. Because displacement can never be greater than the distance travelled, average velocity is always less than or equal to average speed.
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What are two examples of substances that move into or out of cells by diffusion?.
Examples of substances that can move into or out of the cell by diffusion are water, carbon dioxide, oxygen etc.
A substance tends to move from a high concentration area to a low concentration area during the diffusion process until its concentration is equal throughout a space.
Passive transport involves a substance diffusing down a concentration gradient across a membrane without the cell expending any energy. A concentration gradient is simply a region of space where the concentration of a substance changes, and substances will naturally move down gradients, from higher concentration to lower concentration.
Some molecules in cells can move down concentration gradients by directly crossing the lipid portion of the membrane, while others must pass through membrane proteins in a process known as facilitated diffusion.
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Please help with this problem
Mineralogically, barite is a sulfate, bornite is a sulfide, cuprite is an oxide, magnesite is a carbonate.
Which minerals fall under the main categories?Based on their chemical compositions, scientists divide minerals into groups. Nine major mineral classes were originally specified in the Dana Classification System: Native Elements, Sulfides, Sulfates, Halides, Oxides, Carbonates, Phosphates, Silicates, and Organic Minerals.There are four basic types of mineral formation: (1) igneous, or magmatic, when minerals form crystals from a melt, (2) Sedimentary, where minerals are produced by a process called sedimentation that uses fragments of other rocks that have suffered weathering or erosion as their raw material, and (3) Metamorphic.Mineralogically, barite is a sulfate, bornite is a sulfide, cuprite is an oxide, magnesite is a carbonate.To learn more about minerals refer to:
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Among the mineral groups, barite is a sulfide mineral, bornite is a sulfide mineral, cuprite is an oxide mineral, and magnesite is a carbonate mineral.
What are the different mineral groups?Scientists mainly classifies the minerals based on their chemical compositions. The Dana Classification System originally defined nine major mineral classes: Native Elements, Sulfides, Sulfates, Halides, Oxides, Carbonates, Phosphates, Silicates, and Organic Minerals.There have been mainly four basic types of mineral formation: (1) igneous, or magmatic, in which minerals form crystals from a melt, (2) sedimentary, in which minerals are produced by a process called sedimentation, which uses fragments of other rocks that have weathered or been eroded as their raw material, and (3) metamorphic.Barite is a sulfate, bornite is a sulfide, cuprite is an oxide, and magnesite is a carbonate mineral.To learn more about minerals refer to :
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What is ballistic problem?.
The movement of a projectile through a resisting medium, like as air, is referred to as a ballistic issue. The projectile's launch, flight, behaviour, and effects are all studied by the mechanics subfield known as ballistics.
The science or art of creating and speeding projectiles to create a desired performance, particularly projectiles like bullets, unguided bombs, rockets, or the like. A weapons engineer or armorer—often referred to as a "ballistician"—creates cartridges using the scientific principles of ballistics. The term "rocket" refers to any missile, spacecraft, aircraft, or other kind of vehicle that runs on rocket power. The name "ballistics" is derived from the Greek verb meaning "to throw." An object is a projectile if it is propelled into the air by the use of force.
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Please help of u can
Answer:
Explanation:
ME = GPE + KE
At the top of building all the mechanical energy is GPE because the ball isn't moving yet. Just before it hits the ground, all the mechanical energy is KE because the GPE has decreased to 0 (h = 0 at ground level).
a. Total E (top of bldg.) = mgh = (5 kg)(9.8 m/s²)(22 m) = 1078 J
b. Total E (at ground) = 1/2mv² = 1/2(5 kg)(18 m/s)² = 810 m/s
c. The energies are not the same because some of the energy is converted to thermal energy as they ball falls due to friction.
Light and sound waves both carry energy. When light strikes an object, the colors seen are reflections of the visible light spectrum. The colors not seen are absorbed into the object. How is sound absorption different than light absorption?.
Light waves can pass through matter, but sound waves cannot, depending on the characteristics of the waves, sound waves can either be absorbed or transmitted when they travel through materials.
Why do sound waves exist?One of the most essential things to understand about both light and sound is that they are both waves of energy. Light and sound waves both move as waves and are manifestations of energy, but they differ greatly in key respects.
Light waves travel in a transverse direction, whereas sound waves travel in a longitudinal direction. In a vacuum, light waves can move.
Due to the need for a physical medium, sound waves cannot propagate in a vacuum.
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PLEASE HELP!!!! An 85 kg snowboarder accidentally goes off trail and ends up in the middle of a frozen lake and comes to a stop. He remembers taking physics and learning about conservation of momentum in high school and decides to take off his 10 kg backpack
and throw it as hard as he can since he won't need it from being so smart for passing physics) at a speed of 6 m/s East. At what speed and direction will the snowboarder move after throwing the bag?
Okay, so the snowboarder weighs 85 kg and his backpack weighs 10 kg. He throws the backpack with a speed of 6 m/s to the East.According to the law of conservation of momentum, the total momentum before he throws the backpack is 85 kg * 0 m/s (since he's at rest) and the total momentum after he throws the backpack is 85 kg * x m/s + 10 kg * 6 m/s (since the backpack is moving East with a speed of 6 m/s).To find the snowboarder's new speed and direction, we have to set the total momentum before and after equal to each other and solve for x. So,85 kg * 0 m/s = 85 kg * x m/s + 10 kg * 6 m/sWe can solve for x by subtracting 10 kg * 6 m/s from both sides and dividing by 85 kg.x = -0.7143 m/sSo the snowboarder will move with a speed of -0.7143 m/s (which means he will move in the opposite direction of the backpack) and he will move west.
What is r in FG gm1m2 r2?.
Radius is considered as r in this formula. The gravitational force which try pulls two objects with masses m1 and m2 apart over a certain distance is represented by the equation F = G*m1*m2/r^2. G, which represents the universal gravitational constant.
The product of each object's individual mass determines the gravitational force between them. The square of one object's mass determines how much gravity will pull on the other. If their mass is raised by a factor of two, the gravitational force between the two objects is quadrupled.
The formula F = GMm /r^2 describes the dimensions of G as the gravitational force that pulls two objects with point masses of m1 and m2 toward one another, and r represents the distance between them.
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Does latency depend on bandwidth?.
Latency and bandwidth are both dependent on each other and have an inverse relationship
Bandwidth is the amount of data a connection can handle, and latency refers to the delay that affects how quickly data reaches your device. They are very different, but related in one important way. This means that low bandwidth can result in high latency. The difference between bandwidth and delay depends on what you are measuring. Bandwidth considers the amount of data transferred, and latency indicates how long it takes to transfer data. Collectively, these two terms are called throughput and describe the amount of data transferred over a period of time.
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A 2kg ball accelerate downward at 9. 8m/^2. How long doe it take to reach a peed of 29. 4m/?
According to the problem it takes 3 seconds to reach a speed of 29. 4m/s.
What is speed?Speed is the rate of change in the position of an object over a given period of time. It is a scalar quantity, meaning it is a magnitude with no direction. Speed is the magnitude of the velocity vector. It is measured in units such as meters per second (m/s), kilometers per hour (km/h), or miles per hour (mph). Speed is determined by the formula speed = distance/time.
The equation for calculating the time it takes for an object to reach a certain velocity given an initial velocity of zero is t = (vf - vi) / a,where an is the acceleration, vi is the starting velocity, and vf is the final velocity.
In this case, vf = 29.4 m/s, vi = 0 m/s, and a = 9.8 m/s^2.
t = (29.4 - 0) / 9.8
t = 3 seconds
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How do you convert kg to mass?.
A conductor of resistance 3 ohm is stretched uniformly till its length is doubled. The wire is now bent in the form of an equilateral triangle. The effective resistance between the ends of any side of the triangle in ohms is?
a) 9/2
b)8/3
c) 2
d)1
Answer:
the correct answer is b 8/3
A 1. 5 kg baseball is pitched at 38 m/s and is hit by the batter. It heads directly back at the pitcher at 27 m/s.
a) Find the impulse applied to the ball.
b) If the bat is in contact with the bat for 0. 45 sec, how much force was applied.
Show all your work
The answers are:
A: The impulse applied to the ball is -6.75 kg m/s.
B: The force applied to the ball is -15.0 kg m/s^2, or 15.0 N.
a) Impulse is defined as the change in momentum of an object and can be calculated as the product of force and time. Momentum is given by the equation:
p = m * v
where m is the mass of the object and v is its velocity. The impulse applied to the ball is equal to the change in its momentum:
Δp = m * (vf - vi)
where vi is the initial velocity of the ball (38 m/s) and vf is its final velocity (27 m/s).
Substituting the values, we get:
Δp = 1.5 kg * (27 m/s - 38 m/s)
Δp = -6.75 kg m/s
So, the impulse applied to the ball is -6.75 kg m/s.
b) Force is defined as the impulse per unit time and can be calculated as:
F = Δp / Δt
where Δt is the time for which the force was applied (0.45 sec).
Substituting the values, we get:
F = (-6.75 kg m/s) / (0.45 s)
F = -15.0 kg m/s^2
So, the force applied to the ball is -15.0 kg m/s^2, or 15.0 N.
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Does mass depend on energy?.
Mass and energy of an object are related to each other .
In the theory of special relativity, mass and energy are closely related through the famous equation E = [tex]mc^{2}[/tex] , where E is the energy, m is the mass, and c is the speed of light.
This equation shows that energy and mass are interchangeable and can be converted into each other. So, in that sense, mass does depend on energy and vice versa.
In everyday life, however, the effects of special relativity are not significant and the mass of an object remains constant regardless of its energy. For example, a car at rest and the same car in motion at a high speed, both have the same mass, but they have different kinetic energy.
So, in general, mass and energy are related, but the relationship is only significant when dealing with objects that are moving at velocities close to the speed of light.
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how fast is the moon traveling as it orbits the earth?
The Moon travels 2288 miles per hour as it orbits around the Earth with an orbital period of 27 days.
Orbital velocity is known as the speed needed to stay in orbit.
The Moon is an celestial body that orbits around our planet Earth and is Earth's only natural satellite.
The Moon orbits around the Earth at a speed of 2,288 miles per hour which is 3,683 kilometers per hour or can be 1.022 km/s. The orbital period is 27 days. During this time of the motion it travels a distance of 1,423,000 miles which is 2,290,000 kilometers around the Earth in a fixed orbit.
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What are the three formulas of Newton's law of motion?.
Three formulas of newton's law of motion are:- a) v = u + at, b) S = ut +0.5at² c) v² = u² + 2as
Newton's first law of motion defines the relation between final velocity(v) of an object after some time(t), if the initial velocity of the object is u and acceleration is a.
v = u + at
Newton's second law of motion is used to determine the distance(S) travelled by an object in accelerated motion for time(t), having an initial velocity u.
S = ut +0.5at²
Newton's third law gives the relationship between, final, initial velocities, acceleration(a), and the distance(s) travelled by the object.
v² = u² + 2as
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What happens when new evidence is found that contradicts part of a theory?
When a new evidence is contradicts part of a theory will cause the theory rejected or incorrect.
How to research?Theory is a condition of an estimation from the researcher that did not prove the fact about but it is estimated to be true. In research, theory is a key to the flow of a research. The research itself are done by:
Determine the problemSearch for related referenceMake a hypothesis or a theory Make a real condition of a theory to find the resultDetermine whether the theory is true or right or half right.Dispose every false condition in the theory and make a conclusion and scientific factLearn more about research here
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How many decibels dB will increase if the intensity of sound 100 times higher?.
Answer:100
Explanation:100 times is 100
what process introduced oxygen into the atmosphere?
Through photosynthesis process introduced oxygen into the atmosphere.
What is photosynthesis?Jan Ingenhousz was a Dutch-born British physician and scientist who was most famous for discovering photosynthesis, the process by which green plants in sunlight absorb carbon dioxide and release oxygen. He was born on December 8, 1730, in Breda, the Netherlands, and died on September 7, 1799, in Bowood, Wiltshire, England. The process through which plants convert carbon dioxide, water, and sunshine into oxygen and sugar-based energy is known as photosynthesis. The vast majority of life on Earth depends on photosynthesis to survive. It is how almost all of the biosphere's energy is made accessible to living beings.
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A person exerts a force on a box that is at rest on the Earth. The arrows
in the diagrams shown represent the direction of the applied force. Does
the gravitational potential energy of the box change in case A?
Gravity operates as the action force, pulling the book toward the table, and the normal force of the table, acting as the reaction force, pushing the book higher.
What is meant by gravitational potential energy?A massive object's potential energy in relation to another massive object because of gravity is known as gravitational energy or gravitational potential energy. The energy that is released when the items fall toward one another is the potential energy associated with the gravitational field.
The potential energy associated with gravitational force is known as gravitational energy because it takes effort to lift items out of the gravitational pull of the Earth. Water in an elevated reservoir or kept behind a dam is evidence of gravitational potential energy, which is the potential energy resulting from elevated locations.
The book is being pulled toward the table by gravity, which acts as the action force, and is being pushed upward by the table's normal force, which acts as the reaction force.
When an object is present in a gravitational field, it has or can acquire gravitational potential energy, which is the energy that results from a change in position. Gravitational potential energy is an energy that is connected to gravitational force or gravity, to put it simply.
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What is the rate of change with respect to time Mcq?.
The rate of change (ROC) describes how rapidly something changes over time. It is hence the pace of change (rather than the amount of individual changes) that is important.
What types of data are continuous and take continuous values?Continuous data is data that can have any value. Continuous data include height, weight, temperature, and length. Some continuous data will fluctuate over time, such as a baby's weight in its first year or the temperature in a room during the day.
A continuous variable is one that may take an uncountable or endless set of values.
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What is the potential energy of an object weighing 10 kgs at a height of 10 Mtrs?.
The potential energy of the object is 980 Joule. The result is obtained by using the formula for potential energy.
What is potential energy?Potential energy is the energy of an object due to its position.
The energy of an object in a gravitational field is called gravitational potential energy. It can be expressed as
U = mgh
Where
U = gravitational energym = massg = gravitational fieldh = heightAn object has
Mass, m = 10 kgHeight, h = 10 mFind the potential energy!
The Earth's gravitational field is g = 9.8 m/s².
Using the formula above, we get
U = mgh
U = 10 × 9.8 × 10
U = 980 Joule
Hence, the object has the potential energy of 980 Joule.
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An electron in a sodium atom moves from the third shell to the fourth shell. This change is a result of the atom.
The electron can move from the third shell to the fourth shell in a sodium atom as a result of electron transitions. These transitions are triggered by the absorption or emission of energy, such as in the form of photons.
What is the photons ?Photons are the smallest unit of electromagnetic radiation. They are a particle of light that are produced when an atom is excited, and are responsible for most of the light we see around us. Photons travel at the speed of light, and can be described in terms of frequency and wavelength. Photons have no mass and no charge, but they do have momentum and energy. They are also the primary carriers of the electromagnetic force. Photons play an important role in quantum mechanics and are the mediators of all electromagnetic interactions. Photons are also the only particles that can travel through a vacuum, and are the only way to directly measure the properties of the electromagnetic field.
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A golf ball increases its momentum by 6.75 kg m/s. The impact between the ball and club lasted for 0.0025 s. How much force acted on the ball from the club?
The force acted on the golf ball is 2,700N.
How to calculate force?Momentum in physics is the tendency of a body to maintain its inertial motion i.e. the product of its mass and velocity, or the vector sum of the products of its masses and velocities.
According to this question, a golf ball increases its momentum by 6.75 kgm/s. The impact between the ball and club lasted for 0.0025s.
Force is the rate at which momentum changes with respect to time i.e. (F = dp/dt).
Force = 6.75kgm/s ÷ 0.0025s
Force = 2,700N
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Is gravity always 9. 8 N?.
Yes, the gravity is always 9. 8 N. Every mass acts as a gravitational force or pull on every other mass. The mass of the objects in play determines how strong this pull is.
The moon orbits the Earth while the planets revolve around the sun thanks to gravity. Therefore, gravity is defined as, A body is drawn toward the center of the earth or any other mass-containing physical body by the force of gravity.
After learning what gravity is, explain how gravity is crucial to the continuation of life on Earth. The atmosphere is held in place and gives us the air we need to breathe to survive because of the gravitational attraction of the planet and the sun. Additionally, it shields us from the light.
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The tuning fork one please
The frequency of this wave is 15Hz. so, option (c) is correct. This indicates the size of the frequency is the turning fork vibrates 320 times every second.so, option (d) is correct.
What is frequency?
The number of waves that pass through a fixed location in a specific amount of time is known as frequency. As a result, if a wave travels for 1/2 second, the frequency is 2 per second.
What is wave?
A disturbance or variation that causes energy to gradually move from one point in a medium to another. It can be in the form of an elastic deformation or a change in pressure, electric or magnetic intensity, electric potential, or temperature.
Therefore, frequency of this wave is 15Hz. so, option (c) is correct. This indicates the size of the frequency is the turning fork vibrates 320 times every second.so, option (d) is correct.
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