The person's average force on the box is equal to F = 20 N.
What is average force?The force applied by an object moving over a defined period of time at a defined rate of speed is known as the average force. Here, the word "average" is used to denote that the velocity is not instantaneous or precisely measured.
Given,
I = 5kg.m/s
t = 0.25s
We are aware that force is the same as the change in momentum over time. The impulse is equal to the change in momentum.
F = dP/dt
F = I/t
F = 5/0.25
F = 20N.
The person's average force on the box is equal to F = 20 N.
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a 78 kg man is wearing sneakers size 11.5 standard, which means that the sole of his shoe is approximately 29.2 cm long and 11.7 cm wide. what average pressure does he exert on the ground if he stands on one leg?
He exert 2.65 × [tex]10^{4}[/tex] N/m2 pressure on the ground if he stands on one leg.
What is pressure ?Pressure refers to as the physical force exerted on an object. The applied force is perpendicular to the surface of the object per unit area. The standard formula for pressure is F/A (force per unit area). The unit of pressure is called Pascal (Pa). Pressure types include absolute, atmospheric, differential, and gauge.Pressure is usually measured in units of force per unit area (P = F/A). In physics, the symbol for pressure is p and the SI unit for measuring pressure is pascal. Pascal is the force of 1 Newton per square meter acting perpendicular to a surface. This is a key concept in fluid mechanics and is used in the ideal gas law to describe the energy of gases and many other situations.To learn more about pressure from the given link :
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A train begins a journey from a station and travels 60km with the speed of 50km/s what is the time taken?
1.2 second time taken when travels 60km with the speed of 50km/s
speed=distance/time
time=distance/speed
distance=60 km
speed=50 km/s
time=60 km/50 km/s
time=1.2 second
Speed (often abbreviated as "s") is a scalar variable that describes how much an object's location changes over time or how much it changes per unit of time. The average speed of an item in a period of time is the distance traveled by the object divided by the duration of the period.
Time divided by distance are the speed-related metrics.. The meter per second (m/s) is the SI unit of speed, while the kilometer per hour (kph) is the most often used unit of speed in daily life.
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a swimmer swims three laps across a 50m swimming pool. Two of the laps are in one direction and the other is in the opposite direction. What is the swimmers total displacement
Answer:
150m = total displacement
Explanation:
50*3=150m
Pamela rode her bike at a constant rate of 0. 1 kilometer per minute. Which table represents y , the number of kilometers pamela rode her bike in x minutes?.
Table G is a representation of y, or the distance Pamela rode riding bike in x minutes. Pamela's average speed is the rate at which she moves consistently. Average speed is calculated as total distance minus total
The usual speed is what?The total distance traveled must be divided by the total amount of time it took to complete that distance in order to determine average speed. Speed refers to a thing's rate of movement at a particular moment. The term Average speed describes the speed that a journey will typically go at.
What drives us to determine average speed?Understanding average speed will help you better comprehend the pace of a travel. On a travel, the speed could occasionally change. Finding the average speed then becomes crucial to getting an idea of how quickly the route will be finished.
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A string is used to pull a wooden block across the floor without accelerating the block. The string makes an angle to the horizontal as shown below
Does the force applied via the string do work on the block?
Answer: Yes
Explanation: The block moves a distance d under the influence of the force, so work is done by the force. Note that since the object is not accelerating, there is another force present, most likely friction.
b.
An object that weighs 75 N is pulled on a horizontal surface by a horizontal pull of 50 N to
the right. The friction force on this object is 30 N to the left. What is the acceleration of the
object?
Using the Newton Laws, the acceleration of the object is 2.67m/s²
Based on the problem, we can draw the diagram as below to help our understanding.
From the information provided we know that:
F = 50 N (horizontal pull)
W = 75 N
f = 30 N (friction force)
From the picture, we could focus first on the X-axis, where the horizontal force and the friction force work on the object. We would apply the second law of Newton for this axis since there is movement happening within this axis.
∑Fx = m.a
F - f = m.a
50 - 30 = m.a
m.a = 20N ... (i)
Next, we will focus on the Y-axis. In this axis neutral force and weight are working but not resulting to any movement within the axis. ence, we will be applying the first law of Newton:
∑F = 0
N - W = 0
N = W
N = 75N ... (ii)
Since we know that weight is the result of multiply between mass and gravity, we could find the mass of the object by assuming the gravity is 10m/s²
W = m.g
75 = m (10)
m = 7.5kg ... (iii)
We could subtitute the equation (iii) into equation (i) to find the acceleration of the object:
m.a = 20N
(7.5) a = 20N
a = 2.67m/s²
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a cannon fires a cannonball straight up. what is the magnitude of the cannonball's acceleration at the top of its path assuming no air resistance?
Although the forces are equal and opposite, the acceleration is greater since the cannonball's mass is much lower.
What is acceleration?Acceleration is the name we give to the process of changing velocity. Velocity is both speed and direction, so there are only two ways to forces.Change speed, change direction, or change both.Acceleration is the rate of change of velocity over a specified period of time. Calculate acceleration by dividing the change in velocity by the change in time acceleration. Velocity refers to the rate of change of displacement. Velocity is a vector quantity as it consists of both magnitude and direction. Since acceleration is the rate of change of velocity, it is also a vector quantity.To learn more about acceleration from the given link :
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Classify each planet as an inner planet or an outer planet.
Planet A has 67 moons, and
major parts of its atmosphere
are hydrogen and helium.
Planet B has rings but
not much atmosphere.
Planet C has no moons but
has high volcanic activity
Known as the red planet, planet
D has high amounts of carbon
dioxide in its atmosphere and
has two moons.
Planet E has a thin layer of
atmosphere but no moons due
to the effects of the Sun’s gravity.
Planet F has 27 moons, and its
atmosphere is mostly composed
of hydrogen, helium, and methane.
Planets A, B and F are the outer planets.
Planets C, D and E are the inner planets .
What are outer and inner planets ?
Outer planets: These are four in number which are Jupiter, Saturn, Uranus and Neptune. The atmosphere of these planets are mainly made up from hydrogen and helium. These planets have many number of moons around them and they all have ring systems.
Inner planets: These are four in number which are Mercury, Venus, Earth and Mars. The atmosphere of these planets are made up from mixture of gases. Main gases are nitrogen and carbon dioxide. These planets have maximum moons of 2 around them and they does not have ring systems.
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if the mass of the person's head is 4.8 kg , what is the magnitude of the force? express your answer using appropriate units.
The calculated magnitude of force is 47.04 N. Second Law of Motion by Newton (Force) An object's acceleration is determined by its mass and the force being applied.
All objects on Earth experience weight, or a gravitational pull that is proportionate to their mass and is imposed by the planet's mass. The acceleration that gravity gives to objects falling freely serves as a gauge of its strength. The acceleration of gravity at Earth's surface is approximately 9.8 meters (32 feet) per second every second. The magnitudes of the object's weight and the normal force are equal when the object is resting on a horizontal surface and there are no other vertically acting forces; that is, Therefore, the normal force in this case is 26 N, which is much greater than the box's weight.
F=ma
F= 4.8 * 9.8
=47.04 N
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a carnot heat engine operates between a source at 1000 k and a sink at 300 k. if the heat engine is supplied with heat at a rate of 800 kj/min, determine (a) the thermal efficiency and (b) the power output of this heat engine. answers: (a) 70 percent, (b) 9.33 kw
The heat engine thermal efficiency is 70%, at which the engine has 9.33 kW of Power output.
What is heat engine?A heat engine refers to a device that converts heat into work. It absorbs heat from a tank, performs tasks such as moving a piston or lifting a weight, and finally releases thermal energy into a sink. So a heat engine can be defined as: A machine that converts the chemical energy of fuel into thermal energy used for useful work. Heat engines are classified into two types: Internal combustion engine and internal combustion engine. A heat engine can be defined as a device that converts heat energy into work.Thermal energy comes from the temperature difference provided by hot and cold reservoirs. Heat engines exploit this difference in their thermodynamic cycles.To learn more about heat engine from the given link :
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A charming friend of yours who has been reading a little bit about astronomy accompanies you to the campus observatory and asks to see the kind of star that our sun will ultimately become, long, long after it has turned into a white dwarf. Why is the astronomer on duty going to have a bit of a problem satisfying her request?.
The astronomer on duty going to have a bit of a problem satisfying her request because after a white dwarf cools off it will become too cold and dark to emit seen light.
The enlargement and contraction of pulsating variables can be measured through the use of the Doppler impact. The lines in the spectrum shift in the direction of the blue because the floor of the celebrity moves closer to us and then shifts to the pink because the surface shrinks again.
Astronomers take a look at planets, stars, and different celestial bodies. They use ground-based devices, including optical telescopes, and area-based total gadgets, consisting of the Hubble Space Telescope. some astronomers look at distant galaxies and phenomena which include black holes and neutron stars.
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A car accelerating from 10m/s to 25m/s
in 6sec find average acceleration
Explanation:
Avrage acc= ◆velocity/ ◆Time
Av acc =25-10/6-0
Av acc = 15/6= 2.5 m/s^2
Who was awarded the highest-ever rank in the u. S. Armed forces? george patton douglas macarthur george washington dwight d. Eisenhower.
The Dwight d. Eisenhower was awarded the highest-ever rank in the u. S. Armed forces.
What is u.s. armed force?
The American military is comprised of the United States Armed Forces. There are six service branches in the military: the Army, Marine Corps, Navy, Air Force, Space Force, and Coast Guard. The Department of Defense (DoD) and Department of Homeland Security (DHS), both federal executive departments, serve as the main vehicles by which military policy is carried out.
How many army forces are present in the u.s. armed force?
The Navy, Air Force, and U.S. Army are the three services with the most active personnel. The U.S. military is vastly outnumbered by China, even though it had over 1.4 million members in 2021. In terms of military expenditure, the US truly reigns supreme. The amount per person in 2021 was 2,186 dollars.
As a cadet at the United States Military Academy at West Point, Dwight D. Eisenhower took the oath in June 1911, officially beginning his military career. He attended West Point with Omar Bradley's class and graduated in June 1915. He was then commissioned as a second lieutenant in the American Army.
Therefore we can conclude that Dwight d. Eisenhower was awarded the highest-ever rank in the u. S. Armed forces.
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Example2: A stone is pushed from the roof of a 60-m tall tower. Its
initial velocity towards the ground was 5m. What is the
S
stone's position from the ground after:
a) .5 seconds
b) 1.0 seconds
c) 1.5 seconds
d) 2.0 seconds?
stone's position from the ground after:
a) .5 seconds is 56.275 m.
b) 1.0 seconds is 50.1 m.
c) 1.5 seconds is 45.475 m.
d) 2.0 seconds is 30.4 m.
Given parameters:
Height of the tower; h₀ = 60 m.
Initial velocity, u = 5 m/s.
We know that,
acceleration due to gravity, g = 9.8 m/s².
applied formula is :
h = h₀ - ( ut + 1/2gt²)
a)So, stone's position from the ground after:
.5 seconds:
h = h₀ - ( ut + 1/2gt²)
= 60m - ( 5*0.5 + 1/2*9.8*0.5²) m
= 56.275 m.
b)So, stone's position from the ground after:
1.0 seconds:
h = h₀ - ( ut + 1/2gt²)
= 60m - ( 5*1.0 + 1/2*9.8*1.0²) m
= 50.1 m.
c)So, stone's position from the ground after:
1.5 seconds:
h = h₀ - ( ut + 1/2gt²)
= 60m - ( 5*1.5 + 1/2*9.8*1.5²) m
= 45.475 m.
d)So, stone's position from the ground after:
2.0 seconds:
h = h₀ - ( ut + 1/2gt²)
= 60m - ( 5*2.0 + 1/2*9.8*2.0²) m
= 30.4 m.
Hence, different position of the stone in different time is calculated.
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The relative ability of a bonded atom to attract shared electron pairs is called its _____. This ability _____ as the size of the atom decreases because for a smaller atom the shared electrons will be closer to the nucleus.
The relative ability of a bonded atom to attract shared electron pairs is called its electronegativity. This ability increases as the size of the atom decreases because for a smaller atom the shared electrons will be closer to the nucleus.
The electronegativity of an atom is a measure of how strongly it attracts electrons to itself. The higher the electronegativity of an atom, the more it will pull electrons away from other atoms.The electronegativity of an atom increases as the size of the atom decreases. This is because the electrons are closer to the nucleus in a smaller atom, and the nucleus has a greater pull on the electrons.
The electronegativity of an atom also depends on the number of protons in the nucleus. The more protons an atom has, the greater the electronegativity. Electronegativity is an important property in determining the chemical properties of atoms and molecules. Atoms with high electronegativities will tend to form bonds with other atoms that have low electronegativities. This is because the high electronegativity atom will pull the electrons away from the other atom, making the bond between the two atoms stronger.
The electronegativity of an atom is determined by the ability of the atom to attract electrons to itself. The higher the electronegativity of an atom, the more it will pull electrons away from other atoms.The size of an atom plays a role in its electronegativity. Smaller atoms have a higher electronegativity than larger atoms because the electrons are closer to the nucleus. This means that the smaller atom can more easily pull electrons away from the larger atom.
The trend in electronegativity is that it increases as you go from left to right across the periodic table. This is because the atoms get smaller as you go from left to right. The smaller atoms have a higher electronegativity than the larger atoms.The trend in electronegativity is also that it increases as you go from bottom to top of the periodic table. This is because the atoms get closer to the nucleus as you go from bottom to top.
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Explain the interplay between electric and magnetic forces in an electric generator.
Answer:
See explanation.
Explanation:
To start with, an electric generator uses an A.C circuit power supply which means the current alternates throughout. Firstly, the magnetic field/direction produced by the magnets (N-pole and S-pole) cause the rectangular coil between to turn (you can figure out the direction of the force and current using Fleming's Right Hand Dynamo rule). Alongside, as the coil turns, it cuts through the produced magnetic field by the magnets to induce E.M.F (electromotive force) and then the voltage/current travels to the secondary coil where it is either stepped up or down as needed hence transforming the input voltage.
a ladder leans against a frictionless wall. the coefficient of static friction between the ladder and the ground is 0.3. to avoid slipping of the ladder, find the maximum angle in degrees between the ladder and the wall.
The maximum angle in degrees between the ladder and the frictionless wall if the coefficient of static friction between the ladder and the ground is 0.3 is 59.1°
Forces in vertical direction,
Fy = m g
Forces in horizontal direction,
Fx = μ m g
Moment at bottom of the ladder,
Fx L sin θ - Fy L cos θ / 2 = 0
μ m g L sin θ - m g L cos θ / 2 = 0
tan θ = 1 / 2 μ
tan θ = 1 / ( 2 * 0.3 )
tan θ = 1 / 0.6
tan θ = 1.67
θ = 59.1°
Static friction is the frictional force of an object at rest. Once the object exceeds this force the object starts to move. The object will then have kinetic friction which resists its motion.
Therefore, the maximum angle between the ladder and the wall is 59.1°
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compare the conditions that led to the formation of the inner planets with those that led to the formation of the outer planets.
The process of formation of the inner planets, namely from a collection of solid objects, gas, and dust that are joined in a heavy mass. During the initial process of forming a gas disc, a number of dust, gas, and other surrounding material fly in the same mass line and surround the sun like a belt.
The process of forming the outer planets is from the cooling process of several clumps that also orbit, continue to spin, and pull the sky material around them in the form of gas, dust and solid objects with their own gravity then solidify and become planets.
The Solar System is a collection of celestial bodies consisting of a star called the Sun and all objects bound by its gravitational force. The Sun is the center of the solar system. The sun is a star that is closest to the earth. Like other stars, the Sun is a hot object composed of various high-pressure gases. The sun is gigantic when compared to even the largest planet.
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a disk is free to rotate about a fixed axis. a tangential force applied a distance d from the axis causes an angular acceleration at. what angular acceleration is produced if the same force is applied a distance 2d from the axis?
The calculated answer is 2α. You must (a) increase the angular acceleration in order to increase the moment of inertia of a body about an axis.
The rotational rate of the body, measured in radians per second, is used to define the angular velocity of a rotating body about a fixed axis as (rad/s). In linear kinematics, force is what drives an object's acceleration. Similar to this, an angular acceleration is brought on by torque. As a result, torque can be thought of as the rotational counterpart to force. The force that can cause an object to rotate along an axis is measured as torque. Similar to how force accelerates an object in linear kinematics, torque accelerates an object in an angular direction. A vector quantity is a torque.
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what is the most significant difference between the great dark spot of neptune and the great red spot of jupiter? view available hint(s)for part a what is the most significant difference between the great dark spot of neptune and the great red spot of jupiter? the clouds travel in opposite directions. relative to its planet's size, the great dark spot is much larger than the great red spot. the great dark spot has disappeared, whereas the great red spot has been seen for hundreds of years. the great dark spot is not a large storm system but rather a sort of hole in the atmosphere.
There are various differences that differ the Great dark spot from the Great red spot, the major difference seen is Its ability to shift to North and south over time, while the Great Red spot is held steady by global east-west winds.
Also, the Great dark spot is Disappeared, where as the great red spot is still visible. There is a possibility for this that the great dark spot must have shifted to some other location, but this is not possible for this much long period so this could be the limit of observations from the Hubble telescope.
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A wave has a wavelength of 12 meters and a frequency of 10 hz. What is its velocity.
Answer:
120 m/s
Explanation:
v = wl * f = 12 m * 10 /s = 120 m /s
Answer:
[tex] \huge{ \bold{120 \: m/s}}[/tex]
Explanation:
The velocity of the wave given it's wavelength and frequency can be found by using the formula
[tex] \bold{c = f \times \lambda}[/tex]
c is the velocity
f is the frequency
[tex] \lambda[/tex] is the wavelength
From the question
f = 10 Hz
[tex] \lambda[/tex] = 12 m
We have
[tex]c = 10 \times 12 = 120[/tex]
We have the final answer as
120 m/sHope this helps you
Blocks with masses of 2. 0 kg, 3. 0 kg, and 4. 0 kg are lined up in a row on a frictionless table. All three are pushed forward by a 14 n force applied to the 2. 0 kg block.
Force exerted on 4kg block = 6.2 N
Force exerted on 2kg block = 4.51 N
What is force?Forces are influences that can change the movement of an object. A force may change the velocity of an object of mass (m), i.e. accelerate it. Forces can also be referred by pushing or pulling. A force has both magnitude and direction and thus it is a vector quantity.
For the acceleration of all the boxes:
Fₙ = ma
a = Fₙ/m
a = 14/(2+3+4)
a = 1.55 m/s²
For 2 kg block:
Fₙ - F₁ = m₁ × a
14 - F₁ = 2 × 1.55
F₁ = 4.51 N
For 4 kg block:
F₂ = m₃ × a
F₂ = 4 × 1.55
F₂ = 6.2 N
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Complete question is as follows:
Blocks with masses of 2. 0 kg, 3. 0 kg, and 4. 0 kg are lined up in a row on a frictionless table. All three are pushed forward by a 14 n force applied to the 2. 0 kg block.
How much force does the 3kg block exerted on 4 kg block?
How much force does the 3 kg block exerted on 2 kg block?
A 40 kg ball is on a 15 m ledge. If it is pushed off
the ledge.
How much kinetic energy will it have just before
hitting the ground?
The final kinetic energy will it have just before hitting the ground is 5.8755 KJ.
Mass of the ball, M = 40 kg
Height of the ledge, S = 15 m
Initial velocity, u = 0 m/s (at rest)
Using equation of motion we get,
V² = u² + 2aS
V² = 0 + 2 × 9.8 × 15
V² = 294
v = 17.14m/s
kinetic enrgy is calculated as :
E = 1/2 × mass × v²
for initial velocity (u =0) kinetic energy is
E = 1/2 × 40 × 0²
E = 0J
for final velocity (v) kinetic energy is :
E = 1/2 × 40 × (17.14)²
E = 5,875.5 J
E = 5.8755 KJ
The final kinetic energy will it have just before hitting the ground is 5.8755 KJ.
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Determine the root-mean-square speed of co2 molecules that have an average kinetic energy of 4. 21 × 10^–21 j per molecule.
The CO2 molecules move at a root-mean-square speed of 339 m/s.
CO2 molecules have an average kinetic energy of 4.2 x 1021 J.
What does kinetic energy exactly mean?Kinetic energy is a property of motion that an object or particle can employ to move. An object accelerates and acquires kinetic energy when work is done by applying a net force, which transfers energy.
what is A brief explanation of kinetic energy is as follows?When an object is moving, it has kinetic energy. If we want to accelerate any item, a force must be applied. Applying force requires effort on our part. Once the process is complete and energy has in fact been transferred to the item, it will be travelling at a new constant speed.
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Robert pushes the box to the left at constant speed. In doing so, robert does ______ work on the box.
Robert pushes the box to the left at a constant speed. In doing so, Robert does zero work on the box.
While the speed of an item stays equal - it does not increase or lower - we say it's far shifting at a constant speed.
Regular movement is a sort of motion that takes place when both the gap traveled by means of the item is equal for every 2d or the rate of the item changes by way of the same amount every 2d. A car retains a pace of 20 meters according to second because it acts in a straight line for five seconds and is in consistent motion.
An object has a consistent speed while both the value and direction of the charge at which such an object is changing its role continue to be steady. In different words, for an object to have consistent speed, its movement has to no longer alternate guidelines through the years and the object should have steady speed as properly.
Calculation:-
we know that work done = force × displacement
and force = mass ×acceleration
here acceleration is always zero at a constant speed
So, force is also zero hence the work done is ultimately zero.
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You have two windla named X and Y. Windla X drum diameter i 50cm and windla Y drum diameter i 75cm. Both are hoiting a 50kg weght
X will lift faster and easier than Y because of X lift with maximum speed with minimum energy consumption.
First we have to find from that we get to know that which windlass will lift faster,
For windlass X,
Torque(X)=weight x radius of drum
=50x9.81x0.25=122.625 Nm
Torque (Y)=weight x radius of drum
=50x9.81x0.375=183.93 Nm
As we know that,
Equation of Power= Torque x Angular velocity
And Angular velocity (w)= 2 x pi x N/60
Therefore Torque is inversely proportional to speed. Thus, when speed of the car is increasing , decreaseing of torque will start.According to above sentence ,windlass X have maximum speed of lift and windlass Y have comparatively low speed.Also power is directly proportional to Torque, so maximum torque used maximum energy and vice versa.
Therefore X lift with maximum speed with minimum energy consumption.
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A student is subjected to a reaction force of 10 n northward from a 5 kg block while pushing the block over a smooth, level surface. Ignoring friction, what is the acceleration of the block?.
Ignoring the Friction, the Acceleration of the block would be 2 [tex]ms^{-2}[/tex].
The relation of force with mass and acceleration is given by :
Force = Mass * Acceleration
Here the Force is 10N and the mass of the block is 5 Kg so substituting the values in the formula we get
Acceleration = [tex]\frac{Force}{Mass}[/tex] = [tex]\frac{10}{5}[/tex] = 2 [tex]ms^{-2}[/tex] .
What is force-
According to physics. A force can cause an object with mass to accelerate when it changes its velocity, for as when it moves away from rest. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction. It is calculated using the newton SI unit (N). Force is denoted by the letter F. (formerly P).
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A dropped rock takes 5.2 sec to fall from a cliff. How tall is the cliff? (use kinematics,
assume no air resistance)
Answer:
below
Explanation:
d = 1/2 a t^2
= 1/2 (9.81)(5.2)^2 = 132.6 m =~ 133 m
what is the moment of inertia i of this assembly about the axis through which it is pivoted? express the moment of inertia in terms of mr , m1 , m2 , and x . keep in mind that the length of the rod is 2x , not x .
The moment of inertia of i is [tex]x^{2} (m_{1}+m_{2}+\frac{m_{r}}{3})[/tex]
To find the moment of inertia can be determined as follows:
First we need to identify the given data
[tex]m_{1}[/tex] = the mass of sphere 1
[tex]m_{2}[/tex] = the mass of sphere 2
[tex]m_{r}[/tex] = the mass of the rod
[tex]x[/tex] = the distance between sphere 1 and pivot
[tex]x[/tex] = the distance between sphere 2 and pivot
[tex]2x[/tex] = total length of the rod
Next, we need to identify the expression of moment of inertia of sphere and the expression of moment of inertia of rod
[tex]I = mr^{2}[/tex].....(1)
[tex]I = \frac{ml^{2} }{12}[/tex]......(2)
Then, we need to substitute the values in equation 1 for each moment of inertia of sphere 1 and sphere 2
[tex]I_{1} = m_{1} x^{2}[/tex]
[tex]I_{2} = m_{2} x^{2}[/tex]
Substitute the values in equation 2 for moment of inertia of the rod
[tex]I_{r} = \frac{m_{r}(2x)^{2} }{12} \\I_{r} = \frac{m_{r}4x^{2} }{12} \\I_{r} = \frac{m_{r}x^{2} }{3}[/tex]
The total moment of inertia can be determined as
[tex]I = I_{1}+I_{2}+I_{r}\\I = m_{1}x^{2} + m_{2}x^{2}+\frac{m_{r}x^{2}}{3} \\I = x^{2} ( m_{1} + m_{2}+\frac{m_{r}}{3})[/tex]
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