The change in gravitational potential energy stored in 16 Jule.
What is gravitational potential energy?Gravitational potential
In classical mechanics, of the gravitational potential at in a location is equal to the work per unit mass that's would be needed to Move an object to that locations from a fixed references location. It is analogous to the electric potential with the mass playing the role of charge.
Sol-As per the given question ∆PE = mgh
M= skg
g= 4m/s^2
∆h = 2m
∆PE = 2m×4m×2m
= 16 Joules.
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Rudolph launches himself into the sky! If his mass is 300 kg and his acceleration is -9. 8 m/s^2, what is the force that gravity exerts on Rudolph?
The force that gravity exerts on Rudolph is -2940 N.
Newton's second law states that the acceleration of an object depends upon two variables. They are the net force acting on the object and the mass of the object. The acceleration of an object is directly proportional to the net force acting on the object and inversely proportional to the mass of the object. This means that, if force acting upon an object is increased, the acceleration of the object also increases. If mass of an object is increased, the acceleration of that object decreases.
It is given by the formula, F = ma
where, F is the net force
m is the mass
a is the acceleration
Given that, m = 300 kg
a = -9.8 m/s²
F = ?
Substituting in the above formula, we have
F = m * a
⇒ 300 * (-9.8)
⇒ 30 * (-98)
⇒ -2940 N
Thus, the force that gravity exerts on Rudolph is -2940 N.
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Answer: 6.0 m/s/s
Explanation: If the net force acting on an object is halved, the acceleration of the object will also be halved. Therefore, if the object has an acceleration of 12.0 m/s/s and the net force acting on it is halved, the new acceleration of the object would be 12.0 m/s/s / 2 = 6.0 m/s/s.
A golfer is enjoying a day out on the links.
What maximum height will a 329.7 m drive
reach if it is launched at an angle of 22.0
to the ground? The acceleration due to gravity
is 9.81 m/s^2.
Answer in units of m.
The maximum height of the drive be 33.30 m.
What is projectile potion?When a particle is hurled obliquely near the surface of the earth, it travels along a curved path while accelerating continuously in the direction of the planet's center (we assume the particle stays close to the surface of the globe). Such a particle's motion is known as projectile motion, and its route is referred to as a projectile.
Given that:
Range: R = 329.7 m
Angle of projection = 22.0°
Acceleration due to gravity; g= 9.81 m/s^2.
So, maximum height: H = 1/4 R tan22.0° m
= 1/4 × 329.7 × tan 22.0°
= 33.30 m.
Hence, maximum height of the drive be 33.30 m.
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how wide must a narrow slit be if the first diffraction minimum occurs at ±12° with laser light of 633 nm?
The width of narrow slit will be 3 μm if the diffraction minima occurs with 633 nm wavelength.
The angular width of the central maximum is the angle between the two first order minima (on either side of the center).The diffraction formula's central maximum width is inversely related to the slit width. The central maximum widens as the slit width gets smaller, and gets narrower as it gets larger. From this behavior, it can be concluded that light bends more as the aperture's size decreases.Monochromatic light is passed through a single slit with a finite width in a single-slit experiment, and a similar pattern is seen on the screen. As we move farther from the central maximum in the single-slit diffraction pattern, compared to the double-slit diffraction pattern, the width and intensity decrease.Δ=2L/α
Δ=3 x 10⁻⁶m
=3micro meter.
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A car travels 500 m in 20 seconds what is the speed
Average speed of the car be 25 meter/second.
What is speed?Speed is characterized as the rate at which an object's position changes in any direction.
The distance travelled in relation to the time it took to travel that distance is how speed is defined. Since speed simply has a direction and no magnitude, it is a scalar quantity. SI unit of speed be meter/second.
Given parameters:
Distance travelled by the car: s = 500 m.
Time taken by the car: T = 20 second.
So, speed of the car be = distance travelled/time taken
= 500/20 meter/second
= 25 meter/second.
Hence, its average speed be 25 meter/second.
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a sinusoidal wave with wavelength 0.400 m trav- els along a string. the maximum transverse speed of a point on the string is 3.00 m>s and the maximum transverse acceleration is 8.50 * 104 m>s 2 . what are the
The distance from one crest to the next or from one dip to the next may be used to calculate the wavelength.
In actuality, the distance between a wave's point and its equivalent point in the following cycle may be used to calculate a wave's wavelength.
What is a sinusoidal wave's equation?The equation I = I sin t, where I is the current at time t and I is the maximum current, can be used to describe a sinusoidal alternating current.
For a sinusoidal alternating voltage, we may express it similarly by writing v = V sin t, where v is the voltage at time t and V is the maximum value.
The separation between peaks in a sine wave is known as the wavelength.
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A 5.0 kg ball is launched with a speed of 2.0 m/s. Find momentum of the ball
Answer:
10 kgm/s
Explanation:
p = m*v (momentum = mass * velocity)
p = 5 kg * 2 m/s
p = 10 kgm/s
Answer:
10 kg. m/s
Explanation:
[tex]p = m \times v[/tex]
p = 5 * 2
= 10 kg.m/s
A box is on the floor. The box is not moving.
Draw a labelled force diagram to show all the forces acting on the box.
Answer: The floor has more friction than the force given to the box for movement.
Explanation:
The labeled diagram is given below.
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The forces acting on the block at rest are the normal force (N), weight of the block (W) and the force of friction (F).
What are the forces acting on the block?When a block is at rest on a horizontal floor, several forces are acting on it.
These forces are in equilibrium, meaning they balance each other out and result in zero net force, allowing the block to remain stationary.
The main forces acting on the block are:
Weight: The force of gravity pulls the block downward toward the center of the Earth.
Normal Force: The normal force is the force exerted by a surface to support the weight of an object resting on it.
Frictional Force: If the block is not on a perfectly frictionless surface, there will be a frictional force opposing the tendency of the block to slide.
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an accelerator laboratory is considering using a solid-state detector as part of a high-energy experiment. what would be an advantage of using a solid-state detector?
The accelerator lab is considering using a solid-state detector as part of a high-energy experiment, converting some of the particle energy directly into an electrical current, which would be an advantage of using a solid-state detector.
Solid-state detector, also called Semiconductor Radiation Detector, is a radiation detector in which a semiconductor material such as silicon or germanium crystal forms the detection medium.
One such device consists of a p - n junction through which a pulse of current is developed when a particle of ionizing radiation passes through it.They require no window to admit charged particles into the detector.These have very good energy resolution.Also they converts part of the particles energy directly into electric current, this would be an advantage of using a solid-state detector.
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1. a car is traveling with a velocity of 65km/h around a turn with a radius of 85m. what angle would be required to bank the turn so that no friction is required?
The angle that will be required to bank the turn so that friction will not be required is 21.4°
What is centripetal force?A centripetal force is a force that makes a body follow a curved path. Its direction is always orthogonal to the motion of the body and towards the fixed point of the instantaneous center of curvature of the path.
Centripetal force = Mv²/r, Where r is the radius of the curvature and v is the speed.
For a turning car to be banked without friction, the angle of the curvature is given as tan(phi)= v²/rg
where (phi) is the angle.
phi = tan^-1(v²/rg)
v = 65km/h = 65×1000m/3600s= 18.06m/s
phi = tan^-1(18.06²/(85×9.8)
phi = tan^-1(0.392)
phi = 21.4°
therefore the angle required to bank the turn so that no friction will be required is 21.4°
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if the magnetic field is directed toward the north and a positively charged particle is moving toward the east, what is the direction of the magnetic force on the particle?
In a magnetic field, a positively charged particle is traveling northward. The particle's magnetic field is oriented northeastward.
What direction is the force pulling on a positively charged particle traveling west to east in a downwardly-directed magnetic field?The motion of the -particle is parallel to the direction of the stream (east to west). The magnetic field is pointing into the paper. Fleming's left-hand rule is used to direct the force into the page south as a result. Consequently, the particle will be diverted southward.
Magnetic north is it positive or negative?Positive and negative poles are present and are found at the ends of the magnet. In contrast to electric charges, the poles can be separated since the north pole has a positive charge and the south pole a negative charge.
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What will be the period of oscillation of a 12kg metallic bob attached to a spring, where the same pendulum takes 4 seconds for a bob of
mass 8kg attached to the spring?
The pendulum swings in one direction for 4 seconds in each direction, making a 15.9 m swing in one second.
What purposes serve pendulums?Instruments utilized in science, such as seismometers and accelerometers, also employ pendulums. They have a history of being used as length standards and gravimeters for measure an acceleration of gravity in geophysical surveys. The word "pendulum" is derived from the Latin word "pendulus," which means "hanging."
When you swing a pendulum, what happens?The gravity force will cause the swing to freely swing back and forth when it has been hoisted and released. The swing keeps swinging back and forth on its own until frictional (between the swing and the air, and between chains and the connection points) slows it down and ultimately causes it to stop.
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5 Forces of 25 N and 40 N act on an object in the directions shown
25N
40N
Which arrow shows the direction of the resultant force on the object?
K
B
Answer:
B
Explanation:
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A box of mass 50kg is pulled up from the hold of a ship with an acceleration of 1 meter per second square by a vertical rope attached to it. Find the tension in the rope.
at what rate must the potential difference between the plates of a parallel-plate capacitor with a 2.0uF capacitance be changed to produce a displacement current of 1. 5A?
The International Systems of Units' standard unit measuring capacitance (C) is the rate of change of the capacitor's potential difference, which is equal to 0.75 MV/s (SI). It a substance reacts to the an electric charge.
What purpose serves a capacitor?Two electrodes that seem to be close to one another but still separated from one another make up a capacitor, a device used to store electrical energy. The parallel-plate capacitor is one simple but effective instance of this type of storage devices.
dt
dV
=
ϵ
0
A
i
d
d
=
C
i
d
=
2.0×10
−6
F
1.5A
=7.5×10
5
V/s
Therefore, we need to change the voltage difference across the capacitor at the rate of 7.5×10
5
V/s.
What underlies a capacitor's fundamental workings?When an earthing system conductor is moved close to a conductor, its capacitance increases, which is how capacitors operate. The capacitor therefore contains two parallel plates that are spaced apart by a certain amount or gap and oriented in opposing directions.
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what can you conclude about the time it takes a hollow cylinder and a solid cylinder to roll down an incline?
The fact that a solid cylinder rolls down a hill more quickly than a hollow one has been demonstrated above. This is as a result of their inertial moments.
What is hollow cylinder?A cylinder that is hollow from the inside out and has a discrepancy between its internal and external radii is referred to as a hollow cylinder. The base of the hollow cylinder is shaped like an annular ring.. So the hollow cylinder's bottom resembles a zone enclosed by two concentric rings.
What Is the Volume of a Hollow Cylinder and its formula?The area encircled by the shape in a three-dimensional plane is referred to as the volume of a hollow cylinder. A hollow cylinder is one that has a discrepancy between the internal and external radius and is empty on the inside. In other terms, it is a cylindrical shape with some thickness at the edges and no inside.
Because the formulas for calculating the total surface area (TSA) of a cylinder and a hollow cylinder are almost identical, use caution. TSA of a cylinder is equal to 2 rh plus 2 r2, or the surface area of the cylinder plus the area of 2 circles.
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by which primary heat transfer mechanism does one end of a steel rod become hot when the other end is placed in a flame?
Heat transfer by convection occurs when a fluid (such as air or water) is moving. The movement of a material carrier distinguishes conduction from convection, which is the transfer of thermal energy by the movement of hot fluid (as opposed to making other material hot by wiggling atoms).
Usually, changes in density cause this motion to happen. Because warmer particles are less dense, they will travel to areas where it is cooler because they are less dense, whereas cooler particles will move to areas where it is warmer. Until balance is attained, the fluid will continue to move.Thermal energy can be exchanged between objects by a variety of techniques, all of which are based on the fundamental idea that heat and kinetic energy both prefer equilibrium and similar energy states. Conduction, convection, and radiant heat (commonly referred to as radiation, but it's a more comprehensive phrase that includes many other processes) are the three main ways that heat can transfer.
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what is the primary function of a refrigerant distributor at the outlet of a thermostatic expansion valve? what is the primary function of a refrigerant distributor at the outlet of a thermostatic expansion valve? allow the evaporator to operate with a proper superheat feed the evaporator sufficient liquid to control the leaving air temperature decrease the pressure drop across the evaporator coil evenly feed each evaporator circuit
The distributor's job is to distribute refrigerant equally throughout the circuiting of the evaporator. As the expansion valve's larger nozzle opens, the distributor maintains a constant flow rate.
What is the thermostatic expansion valve's main purpose?An essential piece of machinery in the HVAC sector is the Thermal Expansion Valve (TXV). The valve's function is to regulate the flow of refrigerant into the evaporator section. In this manner, it regulates the discrepancy between superheat and the refrigerant temperature that is currently present at the evaporator outlet.
What is the operation of a thermal expansion relief valve?The thermal expansion relief valve works similarly to an expansion tank by taking up the extra pressure that thermal expansion causes in the plumbing system.
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Water molecules are positive on one end, negative on the other. Predict what a negatively charged balloon will do when placed close to a stream of water.
The positive charged particles in the water will move the water towards the negatively charged balloon which is prediction which will happen when they are placed close to each other.
What is Attraction?This is referred top as a type of force that pulls the body near it and we should also note that like poles repel while unlike poles attract.
Since positive and negative charges are attracted to each other, then the positive charged particles in the water will move the water towards the negatively charged balloon which is therefore the reason why it was chosen as the correct choice.
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1. Can you use the change in temperature to predict how long it will take for thermal equilibrium to be reached? What equation would you use? What other variables would you need?
2. How does temperature affect the time it takes to reach thermal equilibrium?
3. Explain why it takes different amounts of time for thermal equilibrium to occur in each case.
PLEASE HElP I URGENTLY NEED THIS!!!!
A body is said to be in thermal equilibrium where all the system temperatures are the same.
What is thermal equilibrium?Take a well insulated beaker and pour water of known mass in it. Record its initial temperature.Place heated metal into the beaker and make sure that the beaker is tightly packed so that no heat escapes from the beaker.Record temperature of the beaker at different intervals and after temperature has become constant ( No heat is being gained) , note the final temperature In end we will check whether thermal equilibrium is established or not.heat lost by the metal = heat gained by water + heat gained by the beaker If you are working with closed systems, you need to know the mass of water, its initial temperature, the specific heat of the water (which is 1 cal / g °C), the mass of the environment with which the water is in contact, its initial temperature and the specific heat.A body is said to be in thermal equilibrium where all the system temperatures are the same. In this case, there will be no temperature gradient between the system and the environment.While, A body is said to be in thermodynamic equilibrium if all three requirements of equilibrium are met, i.e. mechanical equilibrium, chemical equilibrium and thermal equilibrium.To learn more about thermal equilibrium refer to:
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write the balanced nuclear equation for formation of 81kr through electron capture.
The balanced nuclear equations for formation of ⁸¹ Kr through electron capture is (81,37)Rb + (0,-1)e > (81,36)Kr
Nuclear equations represent the reactants and products in radioactive decay, nuclear fission, or nuclear fusion. Instead of chemical equations showing that different numbers of elements are conserved in a reaction, atomic mass and proton number are conserved in a nuclear reaction.
A nuclear reaction is generally expressed by a nuclear equation, which has the general form, where T is the target nucleus, B is the bombarding particle, R is the residual product nucleus, and E is the ejected particle, and Ai and Zi (where I = 1, 2, 3, 4) are the mass number and atomic number, respectively. Finding a well balanced equation is critical for understanding nuclear reactions. Balanced nuclear equations provide excellent information about the energy released in nuclear reactions. Balancing the nuclear equation requires equating the total atomic number as well as the total mass number before and after the reaction using the rules of atomic number and mass number conservation in a nuclear reaction.To know more about nuclear equations,
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A regular pentagonal garden plot has centre symmetry o and an area of 338 m2. Find the distance oa
The distance is 9.65 m.
Area of each triangular sector = 338/5
Angle subtended at center = 360° / 5 = 72°
Let, circumradius of pentagon = r
Side of pentagon = 2r sin36°
Apothem = rcos36°
Area of each sector = 1/2 (2r sin 36°)(rcos36°)
= [tex]r^{2}[/tex]/2 sin72° = 338/5
[tex]r^{2}[/tex] = 338/5 × 2/sin72° = 142.16
r = 11.9 m
Apothem = rcos36° = 9.65 m
Hence, the distance is 9.65 m.
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ppA hollow plastic ball is projected into the air.
There is significant air resistance opposing the
ball's motion, so the magnitude of the ball's
acceleration is not equal to g. At time t, the ball is
moving up and to the right at an angle of 45° to
the horizontal, as shown above. Which of the
following best shows the magnitude a and the
direction of the ball's acceleration at time/?
a > g , is the best shows the magnitude a and the direction of the ball's acceleration at time.
What is acceleration?Acceleration is the rate at which the speed and direction of a moving object change over time. A point or object travelling in a straight path is accelerated if it accelerates or decelerates. Even if the speed is constant, motion on a circle is accelerated because the direction is always changing.
Given data
The velocity of the ball is: V
The angle of velocity with the horizontal is (θ) = 45
The acceleration of the ball is: a
The acceleration due to gravity is: g
When the hollow ball is projected into the air, air resistance will act on the ball that will slow down the ball's motion. Therefore the velocity direction is opposite to the reducing force. The reducing force relates to the opposite to the acceleration of the hollow ball.
F(delaying) ∝ -VF(delaying) ∝ m×a(r)×F(delaying) ∝ a(r)
Here m is the mass of the hollow ball.
The force of gravity on the ball which is acting downward given as:
F(gravity) ∝ g
So, a > g
Correct option: (B)
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Working as a seismologist, you find the epicenter of many earthquakes in a region. What features of earth's crust would you expect to find in this region?
Answer:
Explanation:
As a seismologist studying earthquakes in a particular region, you might expect to find certain features of the earth's crust in that region that are indicative of tectonic activity. Some examples of these features include:
Fault lines: These are fractures in the earth's crust where two tectonic plates have moved relative to each other, often resulting in earthquakes when the movement is sudden and violent.
Folded mountain ranges: When tectonic plates collide, the resulting pressure can cause the earth's crust to fold and form mountain ranges.
Volcanoes: Many earthquakes occur in regions with volcanic activity, as the movement of magma beneath the earth's surface can cause the ground to shake.
Plate boundaries: The boundary between two tectonic plates is often a zone of high seismic activity, as the plates grind against each other and cause earthquakes.
Seismic gaps: Some areas along a fault line may have experienced few or no earthquakes in recent history, and are therefore considered "seismic gaps." These areas may be more prone to earthquakes in the future as the pressure builds up.
By studying these and other features of the earth's crust, you can gain a better understanding of the underlying tectonic processes that contribute to earthquakes in the region.
based on counting the number of galaxies in a small patch of the sky and multiplying by the number of such patches needed to cover the entire sky, the total number of galaxies in the observable universe is estimated to be approximately:_____.
Answer:
two trillion galaxies
Explanation:
If we made the most straightforward estimate using today's best technology, we'd state there are 170 billion galaxies in our Universe. But we know more than that, and our modern estimate is even grander
consider the following circuit. after leaving the switch at the position a for a long time, move the switch from a to b. there will be current oscillations.
Switch the switch from position a to position b after leaving it in position a for a while. Current oscillations are expected to be zero.
What defines oscillation?The regular to-and-fro oscillation of a Simple pendulum is referred to as its oscillatory motion. One oscillation of the a pendulum is defined as the motion of a bob starting from one end and returning to the other.
What is oscillation of a wave?An oscillating wave is one that moves back and forth on a regular, repeated basis. This oscillation may occur between extremes of force, amount, or position. Oscillations in waves can take many distinct forms.
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suppose nasa wants a satellite to revolve around earth 6 times a day. what should be the radius of its orbit if we neglect the presence of the moon? (g
If we ignore the moon's presence and assume that NASA wants a satellite to orbit the planet six times per day, its orbital radius is 1.44 x 10⁷.
What is satellite?A constructed item or spacecraft designed to circle the earth, the moon, or another celestial body. A celestial body orbiting another of greater size. An object that has been placed into orbit in space on purpose is known as a satellite or artificial satellite. Most spacecraft, with the exception of passive satellites, contain a means of generating electricity for the electronics they carry, such as solar cells or radioisotope thermoelectric generators.
How many satellites are in space right now and why it used for?As of the end of December 2021, just 4,852 of the 8,261 satellites circling the Earth were active, according to UNOOSA data, which were corroborated by the Union of Concerned Scientists (UCS), which keeps track of the functioning satellites.
There are several satellites in operation. They are used for a number of purposes, including as the weather forecasting, amateur radio, television broadcasting, and the Global Positioning System. They use telescopes to look outward at the solar system in order to conduct research and collect data.
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With rivers and streams, the movement of rock material from one place to another is called
Answer:
Erosion is the removal and transportation of rock or soil. Erosion can move sediment through water, ice, or wind. Water can wash sediment, such as gravel or pebbles, down from a creek, into a river, and eventually to that river's delta. Hope this helps.
how does the habitable zone around a star of spectral type g compare to that around a star of spectral type m ?
The Answer is "It is Larger". This is how the habitable zone around a star of spectral type G compare to that around a star of spectral type M is.
What is an M spectral star?
An M-type star is within the M-class, a spectral class indicating stars with very weak hydrogen absorption lines and with molecular lines, a surface temperature in the 2400-3700 K range and a red color. M spectral stars are coolest and most common stars in the Universe. The spectral energy distribution peaks in the near infrared.
I suppose the question is :
How does the habitable zone around a star of spectral type G compare to that around a star of spectral type M?
1. It is larger.
2. It is hotter.
3. It is closer to its star.
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A kid with a mass of 30 kg slides down a slide 2.5 meters high from rest.
What was his speed at the bottom?
If his speed was only 1 m/s at the bottom, how much energy was lost due to friction?
The amount of energy lost due to friction is 735 J
What is kinetic energy?The energy an object has as a result of motion is known as kinetic energy. A force must be applied to an object in order to accelerate it. We must put in effort in order to apply a force. After the work is finished, energy is transferred to the item, which then moves at a new, constant speed.
Given mass of the kid is 30 kg
The length of the slide from the ground is 2.5 meters
the speed given is 1 m/s
Energy lost is PE-KE = M*g*h - 0.5M*V^2
= 30 × 10 × 2.5 - 0.5 × 30 × 1²
= 750 - 15
= 735 J
Thus the energy lost is 735 J
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A child who weighs 30 kg descends a slide that is 2.5 meters high. Friction results in an energy loss of 735 J.
What gives rise to friction?A force called friction opposes the relative motion of two materials or objects. These resistive forces are brought on by elastic deformation, surface roughness, and molecule adhesion. The force that prevents one solid item from moving across another is known as friction. Friction force, kinetic friction, tumbling friction, and kinetic friction are the four main categories of friction.
What outcomes does friction produce?It generates heat, which is useful for warming our bodies or specific areas of any object. Power is also lost as a result. It makes noise during every operation. We are able to just walk, jump, play, etc. due to friction.
Briefing:Energy lost = PE-KE
= M*g*h - 0.5M*V^2
= 30 × 10 × 2.5 - 0.5 × 30 × 1²
= 750 - 15
= 735 J.
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