Answer:
[tex]t=16.67s[/tex]
Explanation:
From the question, acceleration from [tex]6m/s^2 \ to \ 0m/s^2[/tex] in 10 seconds.
Acceleration function can be written as:-
[tex]a_t=6-0.6t[/tex]
From the acceleration equation, we can obtain the velocity equation:
[tex]v(t)=\int\limits^t_b {0} \, dv=\int\limits^t_0 {a(t)} \, dt\\v(t)=\int\limits^t_0 {(6-06t)} \, dt=6t-0.3t^2\\*dv=a(t)dt[/tex]
We calculate velocity after 10sec from the above v(t) as [tex]30m/s[/tex].
To obtain distance travelled after 10 seconds:-
[tex]S=\int\limits^{10}_0 {6t-0.3t^2} \, dt=|3t^2-0.1t^3| \ *lims(10,0)\\ S=200m[/tex]
Therefore 200m is for 10seconds, and next 200m at 30m/s
Total time=[tex]10+\frac{200}{30}=16.67s[/tex]
How does mass affect the force of gravity between 2 objects?
Answer:
Force due to gravity increases on increasing the masses and decreases on decreasing the masses.
Explanation:
The force due to gravity (F) acting between any two given bodies can be expressed as,
[tex]F = G\frac{m_{1} m_{2}}{r^{2}}[/tex]
Here,
G = gravitational constant
[tex]m_{1}[/tex] = mass of the first body
[tex]m_{2}[/tex] = mass of the second body
[tex]r =[/tex] separation between the bodies
It is clear from the above expression that the force due to gravity acting between the two bodies is directly proportional to the product of the masses of the bodies.
An electromagnet is a
with a
core.
Answer:
An electromagnet is a magnet that runs on electricity. Unlike a permanent magnet, the strength of an electromagnet can easily be changed by changing the amount of electric current that flows through it. The poles of an electromagnet can even be reversed by reversing the flow of electricity.
Answer:
solenoid & metal
Explanation:
1. What is the atomic number of an atom? Why is this number important? |
Answer:
The atomic number is the number of protons in an atom's nucleus.
The atomic number is important, because it determines which element an atom is.
Answer:
Explanation:
It is the number of protons in the nucleus which determines all the characteristics of the atom and its place on the periodic table
A block of mass 22 kg is sliding along the ice at constant speed 5.0 m/s. Just ahead of it is a block of mass 29 kg sliding in the
same direction at constant speed 4.6 m/s. When the two blocks collide, the 29-kg block travels at a new speed of 7.2 m/s. What is
the new speed of the 22-kg block?
The new speed of 22 kg block is 1.57 m/s
Explanation:
Given-
Mass, [tex]m_{1}[/tex]= 22 kg
speed, [tex]v_{1}[/tex] = 5 m/s
[tex]m_{2}[/tex] = 29 kg
[tex]v_{2i[/tex] = 4.6 m/s
New speed of [tex]m_{2}[/tex], [tex]v_{2f}[/tex] = 7.2 m/s
New speed of [tex]m_{1}[/tex], [tex]v_{1f}[/tex] = ?
This is the case of elastic collision.
So,
[tex]M_{1}[/tex] X [tex]V_{1i}[/tex]+ [tex]M_{2}[/tex] X [tex]V_{2i}[/tex] = [tex]M_{1}[/tex] X [tex]V_{1f}[/tex] + [tex]M_{2}[/tex] X [tex]V_{2f}[/tex]
22 X 5 + 29 X 4.6 = 22 X[tex]V_{1f}[/tex] + 29 X 7.2
22 [tex]V_{1f}[/tex] + 208.8 = 243.4
22 [tex]V_{1f}[/tex]= 34.6
[tex]V_{1f}[/tex]= 1.57 m/s
Therefore, the new speed of 22 kg block is 1.57 m/s
9) Which is a difference between plant and animal cells?
Answer:Plant Cells have big Vacouls whereas Animal cell have small Vacouls. Plant Cell have cell wall and cell membranes but animal cell has got cell membranes only. Plants cell has Chloroplast and whereas in animal cell it's absent. Plastids absent in animal cell and present in plant cell.
Explanation:
An FM radio station broadcasts at 9.23 × 107 Hz. Given that the radio waves travel at 3.00 × 108 m/s, what is the wavelength of these waves?
Answer:
3.2m
Explanation:
Given parameters:
Frequency of the FM radio = 9.23 x 10⁷Hz
Velocity of the waves = 3 x 10⁸m/s
Unknown:
Wavelength of the wave = ?
Solution:
To solve for the wavelength of the wave, we need the velocity equation;
Velocity = frequency x wavelength.
Radio waves are all electromagnetic radiations produced by both electrical and magnetic fields perpendicularly oriented to one another.
Since the unknown is wavelength, we solve for it:
3 x 10⁸ = 9.23 x 10⁷ x wavelength
wavelength = [tex]\frac{ 3 x 10^{8} }{9.23 x 10^{7} }[/tex]
wavelength = 3.2m
Answer:
3.25
Explanation:
on edge :)
While jumping on a trampoline you calculate that at the highest peak of your jump you have 900 joules of gravitational potential energy. What will be your kinetic energy just before landing back on the trampoline?
Jumping on a trampoline is a classic example of conservation of energy, from potential into kinetic. It also shows Hooke's laws and the spring constant. Furthermore, it verifies and illustrates each of Newton's three laws of motion.
Explanation
When we jump on a trampoline, our body has kinetic energy that changes over time. Our kinetic energy is greatest, just before we hit the trampoline on the way down and when you leave the trampoline surface on the way up. Our kinetic energy is 0 when you reach the height of your jump and begin to descend and when are on the trampoline, about to propel upwards.
Potential energy changes along with kinetic energy. At any time, your total energy is equal to your potential energy plus your kinetic energy. As we go up, the kinetic energy converts into potential energy.
Hooke's law is another form of potential energy. Just as the trampoline is about to propel us up, your kinetic energy is 0 but your potential energy is maximized, even though we are at a minimum height. This is because our potential energy is related to the spring constant and Hooke's Law.
How long can a flashlight run for if it draws 0.11 amps and its battery contains 10 coulombs of charge?
Answer:
Battery will run for t = 90 s
Explanation:
As we know that rate of flow of charge is known as electric current
So we will have
[tex]i = \frac{Q}{t}[/tex]
[tex]i = 0.11 A[/tex]
[tex]Q = 10 C[/tex]
now we have
[tex]t = \frac{Q}{i}[/tex]
[tex]t = \frac{10}{0.11}[/tex]
[tex]t = 90 s[/tex]
Final answer:
A flashlight that draws 0.11 amps can run for about 90.91 seconds on a battery with 10 coulombs of charge.
Explanation:
To calculate how long a flashlight can run with a given amount of charge, we use the relationship between current, charge, and time. Current (I) is the rate of flow of charge over time (Q), represented by the formula I = Q/t, where t is the time in seconds. Given the flashlight draws 0.11 amps (A) and the battery has a charge of 10 coulombs (C), we can rearrange the formula to solve for time: t = Q/I. Therefore, t = 10 C / 0.11 A, which equals approximately 90.91 seconds. Therefore, the flashlight can run for about 90.91 seconds on a battery with 10 coulombs of charge.
A 7.0kg skydiver is descending with a constant velocity
Answer:
The air resistance on the skydiver is 68.6 N
Explanation:
When the skydiver is falling down, there are two forces acting on him:
- The force of gravity, of magnitude [tex]mg[/tex], in the downward direction (where m is the mass of the skydiver and g is the acceleration due to gravity)
- The air resistance, [tex]R[/tex], in the upward direction
So the net force on the skydiver is:
[tex]F=mg-R[/tex]
where
m = 7.0 kg is the mass
[tex]g=9.8 m/s^2[/tex]
According to Newton's second law of motion, the net force on a body is equal to the product between its mass and its acceleration (a):
[tex]F=ma[/tex]
In this problem, however, the skydiver is moving with constant velocity, so his acceleration is zero:
[tex]a=0[/tex]
Therefore the net force is zero:
[tex]F=0[/tex]
And so, we have:
[tex]mg-R=0[/tex]
And so we can find the magnitude of the air resistance, which is equal to the force of gravity:
[tex]R=mg=(7.0)(9.8)=68.6 N[/tex]
How does seismic waves cause earthquakes?
Answer:
Seismic waves cause Earthquakes by shaking the ground aggressively and dangerously. These waves are usually calculated on a seismograph to calculate how hard the earthquake hit that area. A transform Boundary creates the tension when the tectonic plates gets stuck. It stays stuck for a long period of time. Then, at one point, the tectonic plates become unstuck which releases the tension into waves which are called seismic waves. Hope I answered you question.
Sound waves don't cause earthquakes.
When parts of the Earth shake and quake and rub against each other, THAT's an earthquake.
THEN, whenever anything is shaking, THAT makes sound waves.
Calculate the amount of heat needed to melt 35.0 g of ice at 0 ºC.Express your answer in kilojoules
The amount of heat needed to melt 35 g of ice will be equal to 2,800 calories and in kilojoule is 11.7152 KJ.
What is heat?Heat is energy that is transmitted from one object to another when temperatures are varied. When two bodies of various temperatures are brought together, energy is exchanged, or heat flows, from the hotter body to the colder. The result of this transfer of energy is typically, but not always, a warming of the colder body and a reduction in the temperature of the hotter body.
By migrating from one physical state (or phase) to the other, such as melting from a solid to a liquid, sublimation from the solid to a vapor, boiling from a fluid to a vapor, or shifting through one solid form to the other, a substance can absorb heat while increasing in temperature.
The latent heat of ice = 80cal/g.
So, the amount of heat required
= 35× 80cal
= 2,800 cal. Or,
2800 × 0.004184 = 11.7152 KJ.
Therefore, the amount of heat needed to melt the ice is 11.7152 KJ.
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A force of 600 N is acting on a motorcycle that has a mass of 240 kg. What is the acceleration of the motorcycle?
Answer:
2.5m/s2
Explanation:
The following were obtained from the question:
F = 600N
M = 240 kg
a =?
Recall: F = Ma
a = F/M
a = 600/240
a = 2.5m/s2
Therefore, the acceleration of the motorcycle is 2.5m/s2
Answer:
Explanation:
force(f)=600N
Mass(m)=240kg
Acceleration(a)=?
Acceleration=force/mass
Acceleration=600/240
Acceleration=2.5m/s^2
the average speed of a car that travels a distance of 240 km is three hours
Answer:
80km/h
Explanation:
Average speed = distance/time
Given
Distance = 240km
Time = 3 hours
speed = 240km/3hrs
= 80km/h
David rides his bike with a constant speed of 12 miles per hour. How long will it take to travel a distance of 18 miles?
Answer:
1.50 h
Explanation:
For an object moving in uniform motion (= moving at cosntant velocity), the relationship between speed, distance and time is given by:
[tex]v=\frac{d}{t}[/tex]
where:
v is the speed of the object
d is the distance covered
t is the time taken to cover the distance
For this problem, we have:
d = 18 miles is the distance covered by David
[tex]v=12 mi/h[/tex] is David's speed
Therefore by re-arranging the equation, we can find the time taken by David to cover that distance:
[tex]t=\frac{d}{v}=\frac{18}{12}=1.5 h[/tex]
NEED !!!!!!
A paper clip is an example of a_________
A. bar magnet
B. Insulator
C.permanent magnet
D.magnetic material
A paper clip is an example of a magnetic material that can be temporarily magnetized by rubbing it with a permanent magnet, causing it to attract other ferromagnetic objects like another paper clip.
Explanation:A paper clip is an example of a magnetic material. Magnetic materials are materials that can be magnetized and are attracted to magnets. Some commonly known magnetic materials include iron, nickel, and cobalt. In this case, the paper clip can be attracted to a magnet because it contains iron, which is a magnetic material.
A paper clip is an example of a magnetic material. When you rub a permanent magnet along a paper clip, the paper clip becomes temporarily magnetized due to the alignment of the magnetic domains within the material. This temporary magnetization allows the paper clip to exhibit magnetic properties, such as attracting other ferromagnetic objects. If you place this magnetized paper clip near another paper clip, the untouched paper clip will experience an attractive force, as seen in classroom experiments. Ferromagnetic materials like iron, which paper clips are commonly made of, can be magnetized and therefore are strongly attracted to magnets, unlike insulators or temporary electromagnets that require a current to become magnetized.
Help! I’m so confused by this
it is a transverse wave
A transverse wave is the one that sets the particles of medium into oscillations perpendicular to the direction of wave propagation. So yes, a transverse wave needs a materialistic medium to propagatee.
Examples of transverse waves include:
ripples on the surface of water.
vibrations in a guitar string.
a Mexican wave in a sports stadium.
electromagnetic waves – eg light waves, microwaves, radio waves.
transverse waves require a material medium and propogate by means of vibrations of the medium perpendicular to the direction of travel. ... Electromagnetic (EM) waves (such as light) are also transverse waves but they do not require a medium and thus can pass through a vacuum
What mixture is a blueberry muffin
Answer:
Soft bumpy smooth
Explanation:
A bee flies forward at 4.9m/s for 48s , lands on a flower and stays there for 28s , then flies back along its previous route at 5.1m/s for 38s . What is the total displacement of the bee? Round your answer to the nearest thousandth, if necessary.
"Displacement" is the distance and direction between the start-point and the end-point, regardless of the route taken on the way.
From this definition, it's easy to see that the bee's displacement at the end of the adventure is zero.
The bee's distance and average speed could also be calculated using the given information, but are not requested.
The total displacement of the bee is calculated by subtracting the return displacement from the forward displacement, resulting in a total displacement of 41.4 meters in the direction of the initial forward flight.
To calculate the total displacement of the bee, we need to consider the distance traveled in each direction and then sum these distances, taking into account the direction of travel. Initially, the bee flies forward at 4.9m/s for 48s, and then it returns along its previous route at 5.1m/s for 38s.
First, we calculate the forward displacement:
4.9m/s * 48s = 235.2m
Then, the return displacement:
5.1m/s * 38s = 193.8m
Since displacement is a vector quantity, we must consider the direction. The total displacement would be the forward displacement minus the return displacement because the bee returns along its previous route.
Total displacement = 235.2m - 193.8m = 41.4m
Therefore, the total displacement of the bee, rounded to the nearest thousandth if necessary, is 41.4m in the direction of the initial forward flight.
when an object moves down and does not stop which force is acting more strongly on the object, friction or gravity? explain
Gravity acts more strongly on the object.
Explanation:
When an object is dropped from a height, it reaches the ground despite friction acting on it because the force of gravity acting on it is stronger than the air resistance and friction. Air resistance and friction acts upward and prevents the ball from falling. However, it is negligible. The gravity acting on the object is so strong that it pulls the object towards earth with a constant acceleration called as acceleration due to gravity which has a constant value of 9.8m/s².
Your lab group has been given a mixture of sand and water. The task at hand is to separate the sand from the water, producing a container of sand and a second container of water. Maria suggests using the procedure called crystallization but several other group members think that filtration would be the best way to separate the two. Provide support for the second separation method, filtration. All BUT ONE point is valid.
A) Sand is an insoluble solid that does not dissolve in water.
B) The two parts of the mixture, sand and water, have different boiling points.
C) Sand particles are large enough to be stopped by a piece of filter paper, separating the sand from the water.
D) Although crystallization would separate the sand from the water, it would not provide a method to collect the water.
Answer:
The answer is B
Explanation:
I just took it on USATESTPREP
Filtration is the best method to separate sand from water because sand is insoluble, filter paper can trap sand particles, and crystallization does not collect water.
Explanation:The best method to separate sand from water in this scenario is Filtration. Filtration is a process that uses a porous material, such as filter paper, to separate solid particles from a liquid. This method is effective because:
Sand is an insoluble solid that does not dissolve in water. Unlike soluble substances, sand particles do not dissolve in water and can be physically separated. Sand particles are large enough to be stopped by a piece of filter paper, separating the sand from the water. The filter paper acts as a barrier, allowing only the liquid (water) to pass through and trapping the solid particles (sand). Although crystallization would separate the sand from the water, it would not provide a method to collect the water. Crystallization is a process where a dissolved solute is separated from a solvent by cooling or evaporation. However, it is not an efficient method for collecting the water component of the mixture. Learn more about Separation Methods here:
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How much force is needed to accelerate a 34 kg skier at 4 m/s2?
Answer:
Net force needed to accelerate the skier is 136 N
Explanation:
As per Newton's 2nd law we know that net force on the system is product of mass and its acceleration
here we know that
m = 34 kg
[tex]a = 4 m/s^2[/tex]
so we have
F = ma
[tex]F = 34 \times 4[/tex]
[tex]F = 136 N[/tex]
A hypothetical situation of being stranded on a deserted island without water is often posed to students. A model of a process used to separate salt water into its components is shown here. Justify the use of the flame in the model depicting the separation of the mixture.
A) The flame will sterilize the water, so that water from the ocean will be consumable. This is known as sanitation.
B) The flame will allow the pure water and salt water to separate into different layers. This is known as density separation.
C) The flame will burn the salt component of the mixture, leaving only the pure water behind for drinking. This is known as combustion.
D) The flame will allow the water to evaporate and be collected in its pure form, leaving the salt component behind. This is known as distillation.
Answer:
The correct answer is D!
Explanation:
I got it wrong when I put C.
The flame will allow the water to evaporate and be collected in its pure form, leaving the salt component behind. This is known as distillation. Hence, option (D) is correct.
What is distillation?A separation process called distillation is used to remove the solvent-containing liquid from a combination and retain the liquid portion. Boiling the solution and then cooling it causes the vapor to condense back into a liquid during distillation.
We can distil salt water to get pure water that is safe to drink. To accomplish this, take the following actions:
In a flask, the salt solution is put and heated until it boils.While the salt remains in the flask, the water gasifies.The condenser receives the steam. A layer of cold water surrounds the condenser, which is a tube. As a result, the steam cools and transforms back into a liquid.Pure water makes up the distillate.Learn more about distillation here:
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A crane lifts an l-bean to a height of 30 meters giving it a potential energy of 108,486). What is the mass of the I-beam?
369 kg
Explanation:
Step 1:
We know that the expression for potential energy is
PE = mgh
where, m =Mass
g = Acceleration due to gravity
h Height
Step 2:
Here m = ?
PE = 108486
h = 30 m
g = 9.8 ms⁻²
108486 = [tex]30 * 9.86 * m[/tex]
[tex]m= 108486 / (9.8*30) = 369 kg[/tex]
diagram shows the velocity time graph for a particle moving in 16 seconds.
Find
a)The maximum acceleration of the particle
b)The deceleration of the particle
c)The total distance travelled by the particle
d)The average velocity of the particle
Answer:
The detailed calculations are shown below;
Explanation:
a)The maximum acceleration of the particle:
It is seen that the maximum change in velocity is at the time between 8s to 10s.
Maximum acceleration: [tex]\frac{V}{t}[/tex]
= [tex]\frac{20}{2}[/tex]
= 10 m/[tex]s^{2}[/tex]
b) The deceleration of the particle
The velocity of particle is decreased after 10s so,
deceleration = - [tex]\frac{40}{6}[/tex]
= - 6.67 m/[tex]s^{2}[/tex]
c)The total distance traveled by the particle = Area under the curve
= [tex]\frac{1}{2}[/tex]* 4*20 + 4*20 + [tex]\frac{1}{2}[/tex]* 2*20+ 2*20+ [tex]\frac{1}{2}[/tex]* 40*16
= 290 m
d)The average velocity of the particle = [tex]\frac{Area under the curve}{Total time}[/tex]
= [tex]\frac{290}{16}[/tex]
= 18.12 m/s
v=vi+at^2 dimensional correct
Answer:
Yes, dimensionally the equation is correct.
Explanation:
This equation is the kinematic equation for uniformly accelerated motion, then we study the units of each member to conclude whether it is dimensionally correct.
vi = initial velocity [m/s]
a = acceleration [m/s^2]
t = time [s]
v = final velocity
therefore we have:
[m/s] + [m/s^2]*[t^2], the second term now is m/s
[m/s] + [m/s] = [m/s]
So the analysis is correct.
A weightlifter lifts a barbell above her head. Is there work done on the barbell?
Answer:
Yes
Explanation:
The work done on a body relies upon the force, displacement, and the angle made between the force and the displacement.
Here, the force acting on the barbell is vertically downwards while the vertical displacement is in the upward direction. The angle made between the force (weight) and the displacement is [tex]180^{\circ}.[/tex] Thus, a work will be done on the barbell by its weight.
The work done on a body relies upon the force, displacement, and the angle made between the force and the displacement.
What is force?
A force is a push or pull upon an object resulting from the object's interaction with another object. Whenever there is body with some mass than there is force.
Work in physics is the energy that is transferred to or from an item when a force is applied along a displacement. In its simplest form, it equals the product of the force's magnitude and the distance traveled for a constant force directed in the direction of motion.
Here, the force acting on the barbell is vertically downwards while the vertical displacement is in the upward direction. The angle made between the force (weight) and the displacement.
Thus, a work will be done on the barbell by its weight.
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An object falls 210 m in 6.3 s. What was it's initial velocity? Express your answer with the correct number of significant digits.
Answer:
[tex]u = 2.5 \ m/s[/tex]
Explanation:
Given data:
Height, [tex]h = 210 \ m[/tex]
Time, [tex]t = 6.3 \ s[/tex]
Let the initial velocity of the object be u.
From the kinematic equation,
[tex]h = ut + \frac{1}{2}gt^{2}[/tex]
[tex]210 = u \times 6.3 + 0.5 \times 9.80 \times (6.3)^{2}[/tex]
[tex]\Rightarrow \ u = 2.46 \ m/s[/tex]
[tex]u = 2.5 \ m/s[/tex] (rounding to tenth place)
Final answer:
The object's initial velocity was calculated to be 62 m/s after falling 210 m in 6.3 s.
Explanation:
The initial velocity of the object can be calculated using the formula:
v = u + gt
where:
v is the final velocity (0 m/s as the object stops), u is the initial velocity, g is the acceleration due to gravity (-9.8 m/s²), and t is the time taken (6.3 s).
Plugging in the values:
0 = u - 9.8*6.3
u = 9.8*6.3
u = 61.74 m/s
Rounded to the correct significant digits:
u = 62 m/s
2 Points
Which of the following means the same thing as 'a guess you make about
what the results of your experiment will be?
O
A. Investigation
O
B. Question
O
C. Prediction
O
D. Summary
SUBMIT
PREVIOUS
Answer:
C. Prediction
Explanation:
A guess made about the results of an experiment is a called a prediction.
Prediction is the probability that an event will occur or not.
It is used widely in formulation of hypothesis. A hypothesis is simple scientific guess, therefore, we can say, it is a scientific prediction. When experiment is conducted and it fits the predictive model, we can conclude that our prediction is correct. Prediction is common process in scientific method.Showing your work clearly, what is the angle between two vectors A and B if
A=3.0i - 4.0j
B=-2.0i+3.0k
Answer:
[tex]\large\boxed{\large\boxed{70.6\º}}[/tex]
Explanation:
1. Calculate the scalar product using the coordinates
[tex]A\cdot B=(3.0\hat i-4.0\hat j+0\hat k)\cdot (-2.0\hat i+0\hat j+3.0\hat k)\\\\A\cdot B=(3)(-2)+(-4)(0)+(0)(3)=-6[/tex]
2. Write the scalar product using the cosine of the angle
[tex]A\cdot B=|A|\cdot |B|\cdot cos\theta[/tex]
[tex]|A|=\sqrt{(3.0)^2+(-4.0)^2}=\sqrt{9.0+16.}=5.0[/tex]
[tex]|B|=\sqrt{(-2.0)^2+(3.0)^2}=\sqrt{4.0+9.0}=\sqrt{13.0}[/tex]
3. Equal the two scalar products and solve for cos(θ)
[tex]-6.0=(5.0)(\sqrt{13.0})cos\theta\\\\cos\theta=0.3328\\\\\theta = arccos(0.3328)=70.6\º[/tex]
As the pendulum swings from point A to Point E, what will happen to the values for potential and kinetic energy?
Kinetic energy will increase from 0 J to 12 J and the potential energy will decrease from 12 J to 0 J.
Kinetic energy will decrease from 12 J to 0 J and the potential energy will increase from 0 J to 12 J.
Kinetic energy will decrease from 0 J to 12 J and the potential energy will increase from 12 J to 0 J.
not enough information to determine
Answer:
Kinetic energy will increase from 0 J to 12 J and the potential energy will decrease from 12 J to 0 J.
Explanation:
-As the bob swings downwards it loses height. So its gravitational potential energy (GPE) decreases.
-The subsequent work done on the pendulum by the gravitational force increases its kinetic energy.
-At all points, by Law of Conservation of Mechanical Energy, during the swing the total ptential energy plus kinetic energy is constant.
Answer:
Explanation:
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