A.) Runway has to be 181.5 long.
B.) Plane takes 11 second for the plane to take off.
What is acceleration?Change in velocity (Δv) divided by the change in time (Δt), is called acceleration that can be represented by the equation
a = Δv/Δt.
This lets you measure how fast a velocity changes in (m/s^2). Acceleration a vector quantity, that is it has both magnitude and direction
Meter per second squared is the SI unit of acceleration.
Given, a small plane must reach a speed of 33m/s for takeoff, starting from rest and constant acceleration is 3.0m/s^2
Let the time be 't'
hence,
(33-0 )/t = 3
33 = 3t
t = 11 sec
Time taken by the plane to take off is 11sec.
Average velocity = (33 + 0)/t
= 16.5 m/sec
Distance = speed * time
= 16.5 * 11
= 181.5 m
Runway has to be at least 181.15 meters long.
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What would your weight on the moon be if you weighed 120 pounds on Earth?
(50 POINTS !!)
Answer:
Explanation:
Given:
m = 120 pounds = 120·0,454 = 54.48 kg
g = 1.625 m/s² - Acceleration of free fall on the Moon
_______________________________
F - ?
F = m·g = 54.48·1.625 ≈ 88.5 N
Answer:
about 20 pounds
If you weigh 120 pounds on Earth, you will weigh about 20 pounds on the moon.
Explanation:
Dont ask for an explanation ok buddy?
when a battery is connected to the plates of a 3.00-mf capacitor, it stores a charge of 27.0 mc. what is the voltage of the battery? (b) if the same capacitor is connected to another battery and 36.0 mc of charge is stored on the capacitor, what is the voltage of the battery
9V and 12V are the voltage of the battery respectively.
[tex]v_1=q/c=27 \mu c/3.00 \mu F=9v[/tex]
[tex]v_2=36.0 \mu c/3.00 \mu F=12V[/tex]
The electric potential difference per unit charge between two places in an electric field is referred to as voltage (also known as electric potential difference, electromotive force, electric pressure, or electric tension). The letters "V" or "E" are used to represent voltage in calculations and other mathematical contexts.
Voltage is the amount of effort needed to transport a unit of charge between two places in a static electric field. The voltage is the difference in potential energy between two places in a circuit, according to our definition. The potential of one point is higher than that of the other points. Voltage or potential difference refers to the difference in charge between higher and lower potentials.
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A ball was rolling with a velocity of 4 m/s across a 1.8 meter high table. How fast would the ball be moving when it hit the floor if it rolled off the table?
The final velocity of the ball moving initially with a velocity of 4 m/s across a 1.8 meter high table when it hits the floor is 5.94 m / s
v² = u² + 2 a s
v = Final velocity
u = Initial velocity
a = Acceleration
s = Distance
In vertical motion,
u = 0
s = 1.8 m
a = 9.8 m / s²
v² = 0 + ( 2 * 9.8 * 1.8 )
v² = 35.28
v = 5.94 m / s
The equation used above is an equation of motion. There are 5 equations of motion.
v = u + ats = ut + 1 / 2 at²s = ( u + v ) t / 2 v² = u² + 2 a ss = vt - 1 / 2 at²Therefore, the final velocity of the ball is 5.94 m / s
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A motor car having a mass of 2 tonnes is being accelerated up a gradient of 1 in 25. At an engine speed of 4 000 rimin the b. P. Is 57 kw the effective tyre radius is 330 mm, the rolling res?stance is 180 n/tonne, and the rear-axle ratio is 4. 4 to 1 assuming a transmission efficiency of 90 % and neglecting air res?stance, determine the value of the acceleration at the given speed 262 mls1.
The value of the acceleration at the given speed is 0.26333 m/s²
Acceleration is the price of the alternate speed of an object with admire to time. Accelerations are vector quantities. The orientation of an item's acceleration is given via the orientation of the net force appearing on that item.
Acceleration is the rate at which pace adjustments with time, in phrases of both velocity and path. A point or an item shifting in a direct line is extended if it accelerates or slows down. movement on a circle is extended despite the fact that the rate is constant because the route is usually changing.
Given,
mass of car = 2 tones
= 2000 kg
power transfer of wheel = efficiency × bp
P = 0.9 × 57000
P = 51300 W
Acceleration:-
Net force = mass × acceleration
2000 × a = F - ( Fr - Fg)
2000a = 1670.0418 - ( 360v+ 783.37)
Acceleration = 0.26333 m/s²
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the timing device in an automobile’s intermittent wiper system is based on rc an time constant and utilizes 0.500 μf a capacitor and a variable resistor. determine the time constant if the resistance is 30 mω.
Our resistance is four mega houses at two seconds. Simply enter 15 seconds as R times 150.50 times 10 to the negative six digits for the calculation. We therefore have 30 Mega Ohms.
It is required to wipe the screen of an automobile on a regular basis when there is a light drizzle, when it is dirty, or when any of these conditions exist. There is a switch that uses an electrical circuit to wipe the screen. A main-wiper control circuit system and a relay control circuit are components of an intermittent wiper system. The relay control circuit uses a transistor and diode combination in an RC circuit.
According to what we've been told, our RC circuit's capacitance is 0.5 micro Farads, or 0.5 times ten to the minus six Farads. The resistance times the capacitance produces the time constant. And by multiplying both sides by C, we may find R's value. And when the time constant is divided by the capacitance, which is equal to 0.5 times ten to the minus six Farads, we have the minimum resistance, which is equal to 4.00 Mega Ohms.
The maximum time constant divided by capacitance occurs when the resistance is at its maximum. As a result, when we replace tau with 15 seconds, we obtain 30.0 Mega Ohms. To modify the frequency of the wiper blades' oscillation, the resistance must be able to shift between four and thirty megaohms.
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You place a box weighing 299.7 n on an inclined plane that makes a 43.5 angle with the horizontal. compute the component of the gravitational force acting down the inclined plane. answer in units of n.
The gravitational force acting down the inclined plane is 206.19N
The force acting along the inclined plane is opposite the frictional force and the formula to express it is:
[tex]F_{m}[/tex]= F sinФ
It is given that
F = 299.7N
Ф = 43.5 degree
Putting the value we have:
[tex]F_{m}[/tex] = 299.7 sin 43.5°
= 299.7 (0.688)
= 206.19N
Therefore the gravitational force acting down the inclined plane is 206.19N.
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what is the maximum speed with which a 1100 kg rubber-tired car can take this curve without sliding? (take the static coefficient of friction of rubber on concrete to be 1.0.)
The question is incomplete, however, 39.2 velocity is the maximum speed with which a 1100 kg rubber-tired car can take this curve without sliding
Consider the net force acting horizontal component of friction [tex](\mu _sN \cos \theta)[/tex] and normal force Acting in horizontal component of friction [tex](N sin \theta)[/tex] , So the sum of force is
[tex]mv_max^2/r=N sin \theta+\mu _sN cos \theta[/tex]
Consider the net force acting vertical component of friction [tex](N cos \theta)[/tex] and normal force acting in Vertical component of friction [tex](\mu _sN sin \theta)[/tex] the wight of car is perpendicular to the force (-mg)
[tex]mg=N cos \theta-\mu _sN sin \theta[/tex]
[tex]v_max^2/rg=sin \theta+\mu _scos \theta/cos \theta-\mu _ssin \theta[/tex]
[tex]\nu_max=\sqrtrgsin \theta+\mu _scos \theta/cos \theta-\mu _ssin \theta[/tex]
[tex]" Substitute, "80" "m" for ' "r,,9.81" for ' "g" ', "18.0" for "\theta" and "1.0" for\mu_s[/tex]
after solving
[tex]v_max=39.2 m/s[/tex]
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The left hand 'hill' is 15 m high. The right hand 'hill' is 26 m high. How fast must a 525kg cart have to go (at the top of the left hill) in order to get over the right hand hill?
Answer
A 51.7-kg hiker ascends a 43.2-meter high hill at a constant speed of 1.20 m/s. ... The initial kinetic energy can be found using the work-energy theorem.
Missing: 525kg | Must include: 525kg
2- An object travels for 5.0s at 15m/s and then changes speed and travels for
100m at 8.0m/s. What was his average velocity?
The average velocity is 10m/s.
How to slove the average velocity?
It travels for 5 sec at 15m/s
distance = speed x time
= 15 x 5
= 75 m
then, travels for 100 m at 8m/s
time = distance/time
= 100/8
= 12.5 sec
Average velocity= total distance travelled/ total time taken
= 100+75/5+12.5
= 175/17.5
= 10 m/s
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When do trilobites disappear from the rock sequence?
Answer:
252 million years ago
Explanation:
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If u drop a ball from a tower 6 miles up where will it land
A- Alongside the tower
B-Fall upward into space
C-Downward into space
D- It will circle around the earth
The ball will land alongside the tower due to the gravitational pull of the earth. Therefore, option (A) is correct.
What is gravity?Gravity is a force that attracts any physical body which has mass towards the center of the earth. Everybody having mass exerts a force or gravitational pull on every other object with mass. Gravity is the reason the planets orbit the sun as well as the moon orbits the earth.
Every particle of matter in the universe attracts every other particle with a specific force, and that force is directly proportional to the product of the masses of those particles.
Mathematical expression for gravity can be written as:
[tex]F= G\frac{mM}{r^2}[/tex]
Where F is the force between objects, m and M are masses of objects interacting, the distance between the center of the masses is equal to 'r' and, G is the gravitational constant.
When you drop a ball from a tower 6 miles up it will land back on the surface of the earth alongside the tower due to the gravitational pull of the earth.
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suppose you were hired to build a dam. what features would you look for in a site? be sure to consider the impact on living things as well as the physical characteristics of the site.
The fact that the water is surrounded by sturdy rock, soil, and sand has some aspects that are highly advantageous if I were in charge of assessing a site for a hydraulic dam to generate electricity.
A hydraulic dam is a barrier constructed through a river or lake to redirect or hold back water. The Engolasters dam, for example, uses its related infrastructure to generate energy, create a vertical drop, and retain water from the rivers.At 1,616 meters above sea level, Lake Engolasters is an oblong lake located in Andorra's Encamp parish (5,302 ft). created in a depression left by a glacier.Therefore we know that, a hydraulic dam is where power is generated.
Electricity is produced at the dam and distributed throughout the entire nation. A dam is formed by six main elements.
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What is the weight of a 179 kg football player?
What is the mass of an object that has a weight of 69.3 N?
Answer:
7.06663336 kg
Explanation
to get the mass of an object divide the force of gravity(9.8) from the weight (in this case, 69.3 N) to get 7.06663336 kg. Or round it (if it's okay with your teacher) and get 7.07 or 7.1 kg
shows a two-ended "rocket" that is initially stationary on a frictionless floor, with its center at the origin of an x axis. the rocket consists of a central block c (of mass m
What is the velocity of block C at t = 2.80 s is v₁=0.6 m/s and v₂= -0.15 m/s b. d=0.18m is the position of block C's center at that time.
The term "rate at which an object changes its position" is used to describe velocity, a vector quantity. Imagine someone moving quickly, taking one stride ahead, one step back, and constantly returning to their starting place. While there might be a frenzy of activity as a result, the velocity would be nil. The motion would never produce a change in position because the subject always returns to their starting place. Since the rate at which a position changes determines velocity, this motion has zero velocity. A person in motion must exert every effort to move farther from their starting location than necessary in order to increase their velocity.
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A torpedo fired from a submerged submarine is propelled through the waterwith a speed of 20.00 m/s and explodes upon impact with a target 2000.0 maway. If the sound of the impact is heard 101.4 s after the torpedo was fired,what is the speed of sound in water? (Because the torpedo is held at a constantspeed by its propeller, the effect of water resistance can be neglected.)
Given,
The initial speed, u=20.00 m/s
The distance between the submerine and the target is d=2000.0m
The sound of impact is heard after T=101.4 s.
To find
The speed of sound in water.
Explanation
Here the total time taken to reach the submarine is the sum of thetime taken by the torpedo to reach the target and the time taken for it to come back.
Let the speed be v.
Thus,
[tex]\begin{gathered} T=\frac{d}{u}+\frac{d}{v} \\ \Rightarrow101.4=\frac{2000}{20}+\frac{2000}{v} \\ \Rightarrow v=1428.6\text{ m/s} \\ \end{gathered}[/tex]Conclusion
Speed of the sound in water is 1428.6 m/s
A car with a mass of 1500 kg travelling at 5m / s is accelerated for 10.0 s to a speed of 25m / s What force was required? The coefficient of rolling kinetic friction was 0.009.
Answer:
Force:
F = 3130 N
Explanation:
Given:
m = 1500 kg
V₀ = 5 m/s
V = 25 m/s
Δt = 10.0 s
μ = 0.009
g = 9.8 m/s²
___________
F - ?
1)
Car acceleration:
a = (V - V₀) / Δt = (25 - 5) / 10.0 = 2 m/s²
2)
Friction force:
F₁ = μ*m*g
3)
According to Newton's second law:
m*a = F - F₁
Force:
F = m*a + F₁
F = m*a + μ*m*g
F = m*( a + μ*g) = 1500*(2 + 0.009*9.8) ≈ 3130 N
Downhill ski racing requires the racer to maintain the tuck position for over a minute while they are going extremely fast therefore the muscle fibers recruited must not fatigue easily or the scare could be severely injured which type of muscle fiber is predominantly recruited during downhill ski racing?
Answer:
slow twitch fibers
Explanation:
Slow twitch fibers can maintain a force for a longer period of time than fast twitch fibers
galaxy fragments in the early universe formed before the first stars. in dark matter mini-halos. due to gravity from large dark matter halos. in places where the universe was slightly less dense than average.
Galaxy fragments originated in the early world due to the gravity of massive amounts of dark matter.
Dark matter is any substance that primarily interacts with visible matter through gravity (e.g., stars and planets). Therefore, in theory, it need not be made up of a brand-new form of fundamental particle but rather may be built up, at least in part, of typical baryonic matter, such as protons or neutrons.
The concept of dark matter, the invisible substance whose gravitational pull is assumed to hold galaxies together, may not be the most pleasing one in physics. According to a recent study, however, if you want to get rid of it, you'll need to switch it out for something more stranger: a gravitational force that at some distances pushes large objects apart and at others draws them together. The analysis highlights how difficult it is to rationalize away dark matter.
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the difference between the amount of incoming radiation and the amount of outgoing radiation at a given location is known as .
Heat budget is the balance between incoming solar radiation and outgoing terrestrial radiation.
What is the heat budget?
A heat budget represents a perfect balance between incoming heat (insolation) absorbed by the earth and outgoing heat (terrestrial radiation) departing it as radiation. If incoming and leaving heat is not in equilibrium, the Earth will either become too warm or too cold.
The sun is the primary source of energy that sustains life on earth. At the surface of the earth, solar energy arrives in the form of short-wave solar radiation. Through the process of absorption, this energy is then transformed into heat. In the form of long-wave terrestrial radiation, the earth returns the same quantity of energy to space as it receives from space. The term "heat budget" refers to the equilibrium that must be maintained between the quantity of insolation the earth receives from the sun and the amount of radiation it emits into space.
Hence, on the basis of the physical principle of energy conservation, this radiation budget accounts for the balance between incoming and outgoing radiation.
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what is the angular momentum of a 0.310 kg uniform ball revolving on the end of a thin string in a circle of radius 1.50 m at an angular speed of 12.5 rad/s? ignore the mass of the string.
The angular momentum of revolving ball is 8.72 kg.m²/s.
We need to know about the angular momentum to solve this problem. An angular momentum is a unit that measures the difficulty of stopping rotating objects. The angular momentum depends on the inertia and angular speed. It can be written as
L = I . ώ
where L is angular momentum, I is inertia and ώ is angular speed.
From the question above, the given parameters are
m = 0.31 kg
r = 1.5 m
ώ = 12.5 rad/s
Find the inertia of the revolving ball
I = m . r²
I = 0.31 . 1.5²
I = 0.6975 kgm
By substituting the given parameters, we can calculate the angular momentum
L = I . ώ
L = 0.6975 . 12.5
L = 8.72 kg.m²/s
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how much time will it take a dog to run 15 meters if its running 5m/s
Uniform line movement
Data:
t = ?
d = 5 mt
V = 15 m/s
The rectilinear movement formula:
V = d/t
We clear for time t:
t = d/v
t = (15 m)/(5 m/s)
t = 3 s
Answer: The dog takes 3 seconds to travel 15 meters ✅.
The MRU is defined as the movement in which an object moves in a straight line, in a single direction, covering equal distances in the same time interval, maintaining a constant speed and no acceleration throughout its movement.
His formula for uniform rectilinear motion is as follows:
V = D/TWe first apply the data to the problem.
Data :T = ?D = 5 metersV = 15 m/sOnce having the data Now we will find the time.
T = D/VT = (15 meters)/(5 m/s)T = 3 secondsSo the result of the problem is 3 seconds.
Happy 2023.
A student made the electromagnet shown and used it to pick up one sewing pin. Which change to the electromagnet would most likely allow it to pick up two sewing pins?A. Double the length of the wires that connect it to the battery.B. Replace the nail with a thick roll if paper.C. Double the number of coils of wires around the nail.D. Replace the nail with a large bolt.
ANSWER:
C. Double the number of coils of wires around the nail.
STEP-BY-STEP EXPLANATION:
In order to collect two sewing pins, the student must double the number of coils around the nail.
Answer: Double the number of coils of wires around the nail.
Explanation: Just did this on apex, mostly for their benefit.
A person pushes a crate using 412 N. What is the mass of the crate if it accelerates at 1.1 m/s2?
Answer:
m=374.5kg
Explanation:
force=mass × acceleration
F=m × a
a=1.1m/s²
f=412N
412=m × 1.1
412=1.1m
m=412/1.1
m=374.5kg
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An iguana crawls from a position of 5.0m to a position of -18m. If it completes this in 9.0s, what was its average velocity?
The average velocity of Iguana is -2.55m/s when it crawls from 5m to -18m in 9 seconds.
Average velocity of a body is defined as the total displacement divided by the total time taken by the body.
Here, initial position of iguana is 5m and the final position of the iguana is -18m.
Total displacement D is,
D = final position - initial position.
D = -18-5
D = -23m
Total time taken by the iguana is 9.0 seconds.
Average velocity(V) = total displacement/total time taken.
Putting values,
V = -23/9
V = -2.55m/s.
So, the average velocity of the iguana is -2.55m/s.
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A 8.0-kg chunk of putty moving at 4m / s collides with and sticks to a 7.0-kg 1 bowling ball that is initially at rest. The bowling ball with its putty passenger will then be set in motion with a velocity of (round to the hundredths)
The velocity of the bowling ball with its putty passenger will be 2.28 m/s.
Velocity of the moving chunk = [tex]V_{c}[/tex] = 4 m/s
Mass of the chunk = [tex]M_{c}[/tex] = 8 kg
Mass of the bowling ball = [tex]M_{b}[/tex] = 7 kg
Velocity of the bowling ball = [tex]V_{b}[/tex] = 0
Since this is the perfect inelastic collision, so according to the law of conservation of momentum
Conservation of momentum is a fundamental law of physics that states that the total momentum of an isolated system is conserved in the absence of an external force.
Mathematically, it is p = m*v[tex]p_{initial} = p_{final}[/tex]
[tex]p_{initial}[/tex] = [tex]V_{c}[/tex] * [tex]M_{c}[/tex] + [tex]M_{b}[/tex] * [tex]V_{b}[/tex]
[tex]p_{initial}[/tex] = 8*4 + 7*0
[tex]p_{initial}[/tex] = 32 + 0
[tex]p_{initial}[/tex] = 32 kg.m/s
[tex]p_{final}[/tex] = ( [tex]M_{c}[/tex] + [tex]M_{b}[/tex] ) [tex]V_{final}[/tex]
[tex]p_{final}[/tex] = ( 8 + 7 ) [tex]V_{final}[/tex]
[tex]p_{final}[/tex] = 14 [tex]V_{final}[/tex] kg.m/s
[tex]p_{initial} = p_{final}[/tex]
32 = 14 [tex]V_{final}[/tex]
[tex]V_{final}[/tex] = [tex]\frac{32}{14}[/tex]
[tex]V_{final}[/tex] = 2.28 m/s
The bowling ball with its putty passenger will then be set in motion with a velocity of 2.28 m/s.
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If A = i and B= i-j then angle btw them
The angle between them is 90°
A = √(1^2 + 1^2) = √2
B = √(1^2 + 1^2) = √2
The magnitude of both vectors is √2
Dot product
A.B = (i + j) . (i - j)
A.B = 1 - 1 = 0
The dot product of two vectors is equal to ABCosx
A.B = ABCosx
0 = √2 × √2 × Cosx
0 = Cosx
∴ x = 90°
The angle between them is 90°
An angle is a figure in Euclidean geometry created by two rays, called the sides of the angle, that share a common termination, called the vertex of the angle. Angles formed by two rays are located in the plane containing the rays. Angles are also generated when two planes intersect. These are known as dihedral angles. An angle defined by two intersecting curves is the angle of the rays lying tangent to the respective curves at their point of junction.
The angle can also refer to the measurement of an angle or of a rotation. This measurement is the length of a circular arc divided by its radius. In the case of a geometric angle, the arc is defined by the sides and is centered at the vertex.
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What is the acceleration?
Answer:
3m/s²
Explanation:
From 60 to 70 s the velocity increases from 50 to 80 m/s
Acceleration is defined as a = Δv/Δt
where Δv = change in velocity
and Δt = change in time
Δv = 80 - 50 = 30 m/s
Δt = 70 - 60 = 10 s
Acceleration = 30/10 = 3m/s²
Question 10
5 pts
Jet fighter planes have ejector seats for rapid escapes from
unresolvable mechanical failures during flight. The typical
mass of a jet fighter seat is 200lbs, while the typical mass
of a jet fighter pilot is 155lbs. For the pilot to safely escape
their crashing plane, they must get at least 100 feet away
from the plane within 2 seconds of ejecting. What force
must the ejector seat launch with to meet these
Requirements
Answer:
See below
Explanation:
d istance = 1/2 a t ^2
100 = 1/2 (a) 2^2 solves for a = 50 ft/s^2
F = ma
= (200+ 155) ( 50) = 17750 lb ft/ s^2 ( this is 2454 N )
The force must the ejector seat launch with to meet these requirements is 17750 lb ft/ s².
What is force?A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. 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.
Given that distance = 1/2 a t²
100 = 1/2 (a) 2² solves for a = 50 ft/s²
F = ma
F = (200+ 155) ( 50) = 17750 lb ft/ s² ( this is 2454 N )
The force must the ejector seat launch with to meet these requirements is 17750 lb ft/ s².
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What type of energy is the sum of kinetic and potential energy in an object that is used to do work?.
Mechanical energy can be described as a sum of kinetic and potential energy in an object that is used to do work
In the field of physics, we can describe mechanical energy that is either stored in an object at the time of rest or the energy of an object that is in a particular motion. As kinetic energy is the motion or movement energy and potential energy is the stored energy at rest, hence mechanical energy is the sum of both these energies.
In other words, we can also describe mechanical energy as an energy that is contained in a particular object that allows it to perform a specific work. It depends on the mechanical energy of an object to determine the amount of work it can do.
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Answer:
mechanical energy or A
Explanation:
Hope this helps