The impulse imparted to the ball is 0.0196 Ns.
To calculate the impulse imparted to the ball, we can use the formula:
Impulse = Force x Time
Since we don't have information about the force or the time, we need to use another formula that relates impulse, mass, and change in velocity:
Impulse = Mass x Change in Velocity
Assuming the ball has a mass of 0.2 kg (typical for a tennis ball), we can calculate the change in velocity using the fact that it goes 5.00 mm high:
Change in Velocity = 2 x g x Height
where g is the acceleration due to gravity (9.81 m/s²). Plugging in the numbers, we get:
Change in Velocity = 2 x 9.81 m/s²x 0.005 m = 0.0981 m/s
Now we can calculate the impulse:
Impulse = Mass x Change in Velocity = 0.2 kg x 0.0981 m/s = 0.0196 Ns
Therefore, the impulse imparted to the ball is 0.0196 Ns.
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Toad and Toadette just had their first little toadstool! Toad's family is known to be purebred dominant for red spots on their white cap. Everyone was shocked when Little Toad was born with a white cap with white spots instead of red. Toadette is very upset as she thinks the Mushroom Kingdom Hospital accidentally switched babies. Is this true? Did the hospital really switch babies? Choose either "yes" or "no" and defend your answer.
No, the hospital did not switch babies.
Recessive genesThe reason for Little Toad's white cap with white spots is most likely due to a recessive gene that was inherited from both parents. This means that even though Toad is purebred dominant for red spots on white cap, he could still carry a recessive gene for white spots.
Similarly, Toadette may also carry the same recessive gene. If both parents carry the recessive gene and both pass it on to their offspring, then the offspring will display the recessive trait. Therefore, it is possible for Little Toad to inherit the recessive gene from both parents and display the white spots on the white cap.
In other words, the hospital did not switch babies as the white cap with white spots on Little Toad is most likely due to the inheritance of recessive genes from both parents.
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The amount of matter in an object is called its weight true or false
Answer:
true
Explanation:
logic
Answer:
false
Explanation:
weight is the force exerted on an object by gravity
1. What is the wavelength of a radio wave broadcasted by a radio station with a frequency of 1300 kHz? 108 ms -1 20
Taking into account the definition of wavelength, frecuency and propagation speed, the wavelength of a radio wave broadcasted by a radio station with a frequency of 1300 kHz is 230.615 m.
Wavelength, frecuency and propagation speedFirst of all, wavelength is the minimum distance between two successive points on the wave that are in the same state of vibration. It is expressed in units of length (m).
On the other hand, frequency is the number of vibrations that occur in a unit of time. Its unit is s⁻¹ or hertz (Hz).
Finally, the propagation speed is the speed with which the wave propagates in the medium, that is, it is the magnitude that measures the speed at which the wave disturbance propagates along its displacement.
The propagation speed relate the wavelength (λ) and the frequency (f) inversely proportional using the following equation:
v = f×λ
All electromagnetic waves propagate in a vacuum at a constant speed of 2,998×10⁸ m/s, the speed of light.
Wavelength of a radio wave broadcastedIn this case, you know:
v=2,998×10⁸ m/sf= 1300 kHz= 1,300,000 Hz (1 kHz= 1000 Hz)λ= ?Replacing in the definition of propagation speed:
2,998×10⁸ m/s= 1,300,000 Hz× λ
Solving:
λ= 2,998×10⁸ m/s ÷ 1,300,000 Hz
λ= 230.615 m
In summary, the wavelength of a radio wave broadcasted by a radio station with a frequency of 1300 kHz is 230.615 m.
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PLEASE HELP ASAP!!
An elevator has a mass of 250.0 kg. The sign inside the elevator says the maximum load that can be hauled in the elevator is 1000.0 kg. If the elevator accelerates upward at 3.25m/s² . What is the maximum force (Ft) that can be exerted on the cable? (Fnet = Fg + Fa must be used). (sketch a force body diagram of the scenario and label all forces)
The cable can withstand a tensile stress of up to 3265 N.
What in science is a force?It is appropriate to use the terms "push" or "pull" to describe a force at this moment. A power that something "contains" or "has in it" does not exist. A force is exerted on one item by another. The definition of a force includes both living and non-living things.
Here, T is the cable's tension force, m is the elevator's mass, g is gravity's acceleration (9.81 m/s2), and an is the elevator's upward acceleration.
The elevator's net force is supplied by:
Fnet = Fg + Fa
The sources of the gravitational pull are:
Fg = m * g
= 250.0 kg * 9.81 m/s²
= 2452.5 N
The force due to the elevator's acceleration is given by:
Fa = m * a
= 250.0 kg * 3.25 m/s²
= 812.5 N
The net force on the elevator is therefore:
Fnet = Fg + Fa
= 2452.5 N + 812.5 N
= 3265 N
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A hiker walks 23.87 m, E and 12.90 m, N. What is the direction of his resultantdisplacement?
23.38 ° to the positive x-axis
Explanation
Step 1
draw the vectors
Step 2
add the vectors, ( component to component)
so
a) get the components of V1
\(\begin{gathered} 23.87\text{ at 0\degree} \\ so \\ V_{1x}=23.87\text{ cos 0=23.87} \\ V_{1y}=23.87\text{ sin 0= 0} \end{gathered}\)b) components of V2
\(\begin{gathered} 12.9\text{ at 90 \degree} \\ so \\ V_{2x}=\text{ 12.9 cos 90=0} \\ V_{2y}=12.9\text{ sen 90=12.9} \end{gathered}\)c) add
\(\begin{gathered} Vdis_x=23.87+0=23.87 \\ Vdis_y=0+12.9 \end{gathered}\)so, the magnitude of the displacement is
\(\begin{gathered} \lvert Vd\rvert=\sqrt[]{V^2_x+V^2_y} \\ replace \\ \lvert Vd\rvert=\sqrt[]{23.87^2+12.9^2} \\ \lvert Vd\rvert=27.132 \end{gathered}\)finally, the direction
as we have a rigth triangle
let
opposite side= 12.9
adjacent side=23.8
Now, use the tan function to find the angles
so
\(\begin{gathered} \tan \emptyset=\frac{opposite\text{ side }}{\text{adjancent side}} \\ \text{replace} \\ \tan x=\frac{12.9}{23.87} \\ \text{isolate x} \\ x=\tan ^{-1}(\frac{12.9}{23.87}) \\ x=28.38 \end{gathered}\)therefore, the direction of the resultant is
23.38 ° to the positive x-axis
I hope this helps you
when an unknown weight w was suspended from a spring with an unknown force constant k it reached its equilibrium position and the spring was stretched by 21.9 cm because of the weight w . then the weight w was pulled further down to a position 30 cm (8.1 cm below its equilibrium position) and released, which caused an oscillation in the spring. calculate the cyclic frequency of the resulting motion. the acceleration due to gravity is 9.8 m/s 2 . answer in units of hz.
The cyclic frequency of the resulting motion is 1.438 Hz. when the acceleration due to gravity is 9.8 m/s 2. Because the mass possesses kinetic energy at the static equilibrium displacement, which is translated into potential energy stored in the spring at the extremes of its journey, oscillations happen.
Given:
Force constant of the spring = k
Displacement from equilibrium point = 21.9 cm
Displacement from equilibrium point during oscillation = 8.1 cm
Acceleration due to gravity = 9.8 m/s²Formula used:
The frequency of oscillation is given by the formula f = 1/2π √(k/m)
where k is the force constant of the spring and m is the mass of the object.
In this case, we do not have the mass of the weight, but we can assume that the weight is the only object oscillating, and therefore its mass will be considered as m. If the weight is denoted by w, then its mass will be w/g, where g is the acceleration due to gravity.
Therefore,
m = w/g
Displacement during oscillation = 8.1 cm
= 0.081 m
The maximum extension of the spring from the equilibrium point during the oscillation will be the sum of the equilibrium position and the displacement from the equilibrium point during oscillation, i.e.
y = 21.9 cm + 8.1 cm
= 30 cm
= 0.3 m
Frequency of oscillation f
1/2π √(k/m)
Substituting m = w/g, we get
f = 1/2π √(k/(w/g))
f = 1/2π √(kg/w)
Now we will calculate k.
k = mg/y
where m is the mass of the weight, g is the acceleration due to gravity, and y is the maximum extension of the spring from the equilibrium point during the oscillation.
Substituting values, we get
k = (w/g)(9.8 m/s²)/(0.3 m)
k = 32.67w/g
Substituting this value in the equation for frequency, we get
f = 1/2π √(32.67w/gw)
f = 1/2π √(32.67/g)
f = 1.438 Hz
Therefore, the cyclic frequency of the resulting motion is 1.438 Hz.
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Help needed!
A force of 6.36 N acts on a(n) 4.9 kg object for 20.4 s. What is the objects change in momentum?
What is the change in velocity?
WU
Change in the momentum of the object with mass 4.9 kg on which force of 6.36 N acts for 20.4 s is 31.164kgm/s and change in velocity is 6.36m/s
As we know Force acting on any object is
F = m.a...........(1)
where m ⇒ mass
and a ⇒ acceleration
Also \(a=\frac{v}{t}\)..........(2)
where v ⇒ velocity
t ⇒ time
so equation (1) can be written as:
\(F=\frac{m.v}{t}\)..........(3)
Change in Momentum is equal to
p=m.v.......(4)
where m ⇒ mass
v ⇒ velocity
Now as per the question:
Force, F = 6.36 N
Mass, m = 4.9 kg
Time, t = 20.4s
putting the values in equation (3),
we get \(6.36=\frac{4.9*v}{20.4}\)
by solving this we get a value of v=6.36m/s
putting the values in equation (4)
we get, Change in momentum
\(p=4.9*6.36\\p=31.164kg m/s\)
so the change in velocity is 6.36m/s and change in momentum is 31.164kgm/s
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In a billiards game, one player hits the cue ball towards another ball. The cue ball has a mass of 0.1kg and hits the other ball with a velocity of 2m/s. If the collision is completely elastic and the cue ball travels with a velocity of 0.8m/s after the collision, what is the mass and velocity of the other ball?
Answer:
3/70 kg ≈ 0.04286 kg
2.8 m/s
Explanation:
In a perfectly elastic collision, the total momentum of the system is constant, and the difference in velocities changes sign.
We assume the other ball is at rest initially, and that the collision is "head-on." That is, final velocities are in the same direction as the initial velocity of the cue ball. We further assume no energy loss, and that the balls do not rotate.
__
initial momentumAssuming the ball being hit is initially at rest, it contributes no momentum to the system. The total momentum is ...
(0.1 kg)(2 m/s) = 0.2 kg·m/s
__
initial velocity differenceIf the cue ball has velocity v1 and the hit ball has velocity v2, the initial difference of velocities is ...
v1 -v2 = 2 m/s -0 m/s = 2 m/s
__
final velocity differenceAfter the collision, we must have ...
v1 -v2 = -2 m/s . . . . the velocity difference changes sign
v2 = v1 +2 m/s = 0.8 m/s +2 m/s
v2 = 2.8 m/s
The velocity of the other ball is 2.8 m/s after the collision.
__
mass of the other ballThe total momentum after the collision is the same as before, so we must have ...
m1·v1 +m2·v2 = initial momentum
(0.1 kg)(0.8 m/s) +(m2)(2.8 m/s) = 0.2 kg·m/s
m2 = (0.2 kg·m/s -0.08 kg·m/s)/(2.8 m/s) = (0.12/2.8) kg = 3/70 kg
The mass of the other ball is 3/70 ≈ 0.04286 kg.
I’m a freshman who doesn’t know about physics, help me out?
When you set something down on the ground what kind of work are your arms doing
Answer:
My arms are doing a negative work
Explanation:
When you set something on the ground, the displacement of the object set towards the ground is in the downward direction. which means that, in this case, there is a downward displacement.
As the object is set on the ground, the force exerted by the arms on the object acts in the upward direction.
Summarily, direction of force is upwards while the direction of displacement is downwards.
Since the force and displacement act in opposite direction, a negative work is said to be done.
About how many days must elapse between first-quarter moon and the next full moon in the same cycle?
About 29.5 days must elapse between first-quarter moon and the next full moon in the same cycle.
What do you mean by the phases of the Moon?The different ways the Moon appears to Earth over the course of about a month are known as its phases. The side of the Moon that faces the Sun will be illuminated as it revolves around the Earth. The various forms of the illuminated region of the Moon that can be observed from Earth are referred to as their phases. Every 29.5 days, a new phase begins. Due to tidal locking, the same half of the Moon always faces the Earth. The same half of the Moon's surface will therefore always be covered by the phases.
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i) Show that total energy of the body at points A, B and C during the fall is same. ii) Find the distance from A to B and final velocity of the ball just reach before C.
mass =5 kg, total height (h)= 100m
i) The total energy of the body at points A, B and C during the fall is the same because the law of conservation of energy.
ii) distance from A to B and final velocity is 44.3 m/s.
How to determine distance and velocity?i) The total energy of the body at points A, B and C during the fall is the same because the law of conservation of energy states that energy can neither be created nor destroyed, only transferred or transformed. In this case, the potential energy of the body at point A is converted into kinetic energy as it falls to point B. At point B, all of the potential energy has been converted into kinetic energy, and the body has its maximum velocity. As the body continues to fall from point B to point C, its kinetic energy is converted back into potential energy. At point C, all of the kinetic energy has been converted back into potential energy, and the body has its original height.
ii) The distance from A to B can be found using the equation d = √2gh
, where d is the distance, g is the acceleration due to gravity, and h is the height. In this case, g = 9.8 m/s² and h = 100m, so d = √(2⋅9.8⋅100) = 44.3m.
The final velocity of the ball just before it reaches point C can be found using the equation v = √2gh
, where v is the velocity, g is the acceleration due to gravity, and h is the height. In this case, g = 9.8 m/s² and h = 100m, so v = √(2⋅9.8⋅100) = 44.3 m/s
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What is the change in thermal energy E if the coefficent of kinetic friction between the box and floor is .4 , the distance the box moves is 17m and the force applied is 38 N?
This question can be solved using the concept of friction energy.
The thermal energy change is b "258.4 J".
The change in thermal energy will be equal to the friction energy produced during the motion of the box.
\(Change\ In\ Thermal\ Energy = E = Friction\ Energy\\\\E = \mu fd\)
where,
μ = coefficient of kinetic friction = 0.4
f = force applied = 38 N
d = distance traveled by the box = 17 m
Therefore,
\(E = (0.4)(38\ N)(17\ m)\)
E = 258.4 J
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True or False: A balanced force acts on different objects, and action-
eaction forces act on the same object. *
A. True
B. False
Answer:
true
Explanation:
according to the Newton's third law
two parallel metal plates are 5 cm apart and have equal surface charge densities of 9 nc/m2 of opposite signs on their inner surfaces. what is the electric field between the plates?
1.01 x 10³ C/m² is the electric field present between the two metal plates.
The electric field is defined as the region around a charged particle or charged body in which if another charge is placed experiences an electrostatic force.
The electric field inside two equal and opposite charged plates is given by
E = σ / ε ------ equation 1
here σ is the surface charge density = 9 x 10⁻⁹ C/m²
ε = Dielectric permittivity = 8.85 x 10⁻¹² C²/Nm²
Putting the values in equation 1
E = 9 x 10⁻⁹ / 8.85 x 10⁻¹²
=> 1.01 x 10³ N/C
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6. I ran 12.2 km in 1.4 hours. Then I ran another 19.3 km uphill in 2.2 hours. What was my average speed?
Answer: 8.75 km/hr
Explanation:
Concept to know
Average speed: total distance/total time
-------------------------------------------------------
total distance/total time
=(12.2+19.3)/(1.4+2.2) ⇔ add the numbers of two time running together
=31.5/3.6 ⇔ simplify
=8.75 km/hr
Hope this helps!! :)
Please let me know if you have any question
A spring extends from 2 m to 4 m when a 40 N weight is hung off it, what is the spring constant?
The spring constant of the spring given that it extends from 2 m to 4 m when a 40 N weight is hung off it is 20 N/m
How do I determine the spring constant?First, we shall determine the extension of the spring. Details below:
Original length = 2 mNew length = 4 mExtension (e) = ?Extension = New length - Original length
Extension = 4 - 2
Extension = 2 m
Finally, we shall determine the spring constant. Details below:
Extension (e) = 2 mForce (F) = 40 NSpring constant (K) =?F = Ke
40 = K × 2
Divide both sides by 2
K = 40 / 2
K = 20 N/m
Thus, we can conclude that the spring constant is 20 N/m
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A maximum strength skeletal muscle contraction can be sustained indefinitely.2 ptsTrueFalse
Answer:
Explanation:
false
Alex throws a snowball vertically downwards with a speed of 8 m/s. Upon hitting the floor, its speed is 24 m/s. How long does the snowball fall? From what height was it dropped
Answer:
1.63 seconds, 26.12 meters
Explanation:
vf = 24 m/s
vi = 8 m/s
t= (vf-vi)/g = 1.63s
h = (vf^2-vi^2)/2g = 26.12m
what do astronomers generally believe about the origin of mars's moons?
Astronomers generally believe that Mars's moons, Phobos and Deimos, were likely asteroids that were captured by Mars's gravity as they passed by the planet. This theory is supported by the irregular shapes of the moons and their composition, which is similar to that of asteroids.
Astronomers generally believe that Mars's moons, Phobos and Deimos, originated from the capture of two small asteroids from the nearby asteroid belt. This belief is based on the moons' irregular shapes and their similarity to certain types of asteroids. The gravitational pull of Mars is thought to have captured these asteroids, causing them to become its moons.
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Q.7. For a system with a transfer function of G(s)=- co² s² +2a+w² if the natural frequency is 0.5 and the damping ratio is 1.3, which of the following statements is correct regarding the unit step response of the system?
O A) Damped
O B) Undamped
O C) Underdamped
O D) Crittically Damped
O E) Overdamped
The system described by the transfer function G(s) = -co² s² + 2a + w², with a damping ratio of 1.3 and a natural frequency of 0.5, has an overdamped unit step response. So, the correct option is (E)
The transfer function of the system is given as G(s) = -co² s² + 2a + w², where co represents the damping ratio, a represents an arbitrary constant, and w represents the natural frequency of the system. We are given that the natural frequency is 0.5 and the damping ratio is 1.3.
To determine the type of unit step response, we need to analyze the damping ratio (co) in relation to the critical damping value (co_critical).
The critical damping ratio (co_critical) is defined as the value where the system is on the threshold between being overdamped and underdamped. It is given by the formula co_critical = 2 * sqrt(a * w²).
In our case, the natural frequency (w) is 0.5, so we can calculate co_critical as follows: co_critical = 2 * sqrt(a * 0.5²).
Since the damping ratio (co) is given as 1.3, we can compare it with co_critical to determine the type of unit step response.
If co > co_critical, the system is considered overdamped (Option E).
If co = co_critical, the system is considered critically damped (Option D).
If co < co_critical, the system is considered underdamped (Option C).
Based on the given values, we can determine that the system is overdamped (Option E) because the damping ratio (1.3) is greater than the critical damping ratio.
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explain what characterises a sound as noise or music
Explanation:
Noise is sound with a continuous structure. Music is composed of sounds with a fundamental frequency and overtones. Noise is composed of sounds with frequencies that range continuously in value from as low as you can hear to as high as you can hear — not necessarily at equal intensity, however.
work done in taking charge from one point of a conductor to is another point is called
Answer:
⁸
Explanation:
electric potential
I think so
need help please... thank u
Answer:
the answer from my side is both vertical and horizontal
Answer:
Entirely horizontal
Explanation:
The ball begins the movement with horizontal and vertical velocity, but it is subject to the gravity acceleration, that will break the movement. When it achieves the top of the path, is when the vertical velocity go to 0 and begin to grow in the opposite direction, so in the very top of the path, the velocity is entirely horizontal
Discuss the Australian Legal system including the courts and legal sources with drawing/diagram and examples
The Australian legal system is based on the common law tradition inherited from the British legal system. It operates under a federal system of government, which means that power is divided between the federal government and the states and territories. The legal system consists of both federal and state/territory courts, each with its own jurisdiction.
Courts in the Australian Legal System:
a) High Court of Australia: The highest court in the Australian legal system is the High Court of Australia. It has original jurisdiction in certain matters, such as disputes between states, and it hears appeals from lower courts. The decisions of the High Court are binding on all other Australian courts.
b) Federal Courts: The federal court system includes the Federal Court of Australia, which handles matters related to federal laws, such as bankruptcy, intellectual property, and trade practices. There are also specialist federal courts, such as the Family Court of Australia and the Federal Circuit Court, which deal with family law and general federal law matters, respectively.
c) State and Territory Courts: Each state and territory has its own court system. The highest court in each state or territory is usually called the Supreme Court. These courts have general jurisdiction and handle a wide range of civil and criminal matters. Below the Supreme Court, there are lower courts, such as District Courts, County Courts, Magistrates' Courts, and Local Courts, which handle less serious matters.
Legal Sources in the Australian Legal System:
a) Legislation: Laws in Australia are made by Parliament at both the federal and state/territory levels. Acts of Parliament, also known as statutes or legislation, are written laws that address various areas of law, such as criminal law, contract law, and family law. Legislation is the primary source of law and is binding on all courts.
b) Common Law: The Australian legal system is based on the common law tradition. Common law refers to the body of law derived from judicial decisions made by courts over time. When a court makes a decision on a legal issue, it establishes a precedent that becomes binding on lower courts. Common law principles help interpret legislation and fill gaps where the law is silent.
c) Constitution: The Australian Constitution is the supreme law of the land. It establishes the structure of the federal government and outlines the powers of the Commonwealth Parliament. The Constitution sets out the division of powers between the federal government and the states/territories, as well as certain fundamental rights and freedoms.
d) Case Law: Case law refers to the collection of legal principles derived from court decisions. Courts interpret legislation and apply legal principles to specific cases, creating precedents that guide future decisions. Case law plays a crucial role in the development and interpretation of the law.
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A car starts from rest with an acceleration of 5.0 m / s² and travels a distance of 1.0 km. What is the speed value of this car?
Answer:
100 m/s
Explanation:
We'll begin by converting 1 km to m. This can be obtained as follow:
1 km = 1000 m
Finally, we shall determine the final velocity of the car. This can be obtained as follow:
Initial velocity (u) = 0 m/s
Acceleration (a) = 5.0 m/s²
Distance (s) = 1000 m
Final velocity (v) =?
v² = u² + 2as
v² = 0² + (2 × 5 × 1000)
v² = 0 + 10000
v² = 10000
Take the square root of both side
v = √10000
v = 100 m/s
Therefore, the speed value of the car is 100 m/s.
If a serve hits the net, what happens?
• Re-do
• Dead Ball
• Other teams point
• Play the ball
Answer:
Depends: Is it tennis or volleyball?
Explanation:
If it's volleyball, it's C, the other teams point.
If it's tennis, it's A, you get a re-do.
What happens to the direction of an object as an unbalanced force acts on
it? Give an example
Answer:
When an unbalanced force acts on a body the side with the greater force's dircetion makes the object move along its direction
Also to find the net force acting on the bofldy you can subtract the two force acting on the body
In case of balanced force the net force will always be 0
Hello :)
Answer:
When an unbalanced force acts on an object, the side with the greater force's direction makes the object move along its direction. For example, when two cars collide on a head-on collision, both vehicles will move in the direction that the vehicle with the greater force is moving in.
how do forces work in nature?
The strong force is that force which cause the basic pieces of an atom to hold together. The weak force is radiation; this force is instrumental in things decaying. Electro-magnetism is the charged field which surrounds iron based materials or objects.
Force make objects movable and to change their state. Various kinds of forces in nature balances altogether every processes in nature. The energy we gain or lost is due to some kind of force and resultant displacement.
What is force?Force is an external agent acting on an object to change its state of motion or to deform it. Force is a vector quantity and is characterized by its magnitude and direction. There are various kinds of forces such as gravitational force, magnetic fore, frictional forces, nuclear force etc.
Its due to gravitational force by earth that we are standing on the ground. We experience a weight due to this effect. Similarly the rotating current in the earth core generates the magnetic force of earth.
Every objects need a force to change its state or rest or motion. Similarly, the work done in any fields is the result of any force applied on the system.
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What is the volume of 810 g of aluminium?
Answer:8.1g
Explanation:
Explanation:
you can find by using. volume = mass/ density of aluminium.