The value of the momentum on the second cart is p₂ = v₂m₂ = 2vm.
What is momentum?Momentum is defined in Newtonian mechanics as the product of an object's mass and velocity. It is a vector quantity with magnitude and direction. If an object's mass is m and its velocity is v,
Given that consider two carts, of masses m and 2m, at rest on an air track. if you first push one cart for 3 s and then the other for the same length of time, exerting equal force on each.
The momentum on the second cart will be calculated as,
F = m₁ a₁ = m₂ a₂
if m₁ = m and m₂ = 2m :
F = ma₁ = 2m a₂ ⇒ a₁ = 2 a₂
Since v = at + v₀ with t = 3, v₀ = 0 ⇒ v = 3a:
v₁ = 2 v₂
Since p = vm with v₁ = 2v and v₂ = v :
p₂ = v₂m₂ = 2vm
Therefore, the value of the momentum on the second cart is p₂ = v₂m₂ = 2vm.
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PLEASE HELP
Which is not a characteristic of a reflecting optical telescope?
A) The mirrors inside the telescope do not need to be cleaned often.
B) They are easier and cheaper to create.
C) There is minimal distortion of the image.
D) The mirrors occasionally tend to get foggy.
John's home had 20 pounds of condiments. sugar made up 40% of the condiments. Salt made up the rest. After some sugar was used, sugar made up 25% of the condiments. How many pounds of sugar were used? pounds of sugar
3 pounds of sugar were used.
What are percentages?Percentage can be calculated by dividing the value by the total value, and then multiplying the result by 100.
How to find the amount of sugar used;
40% of sugar + 60% of salt = 20 pounds of condiments
Therefore 40% of sugar = (40/100) x 20
Sugar = 8 pounds
Therefore;
Salt = 20 - 8 pounds
Salt = 12 pounds
For sugar to make up 25% of the condiments;
Sugar = (25/100) x 20 pounds
Sugar = 5 pounds
The amount of Sugar used;
Sugar = 8 - 5 pounds
Sugar = 3 pounds
The amount of sugar used up is 3 pounds.
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if the angle opf elevation of the cannon is decreased from 35 degrees to 30 degrees, the ertical compent of the balls iontial veclotiy will
Answer:
Decrease
Explanation:
Decrease
Vertical component = v sin (angle)
sin 30 is less than sin 35
У Z Eright left A parallelepiped is in an electric field which, to the left of the dashed line, has the value Eleft =< -55.37,0,0 > N/C, and Eright =<55.37,0,0 > N/C to the right of the dashed line. The top and bottom of the parellelepiped are rectangles lying in the x - z plane, and measure li by l2, as shown. The left and right faces are rectangles inclined by an angle 0 = 83.48° from the a axis, and measure l2 by l3. The values of l1, l2, and l3 are 23.82 cm, 11.27 cm, and 32.48 cm, respectively. What charge is contained inside the parallelepiped?
A rectangle possesses all the characteristics of a parallelogram since it has two sets of parallel sides and two pairs of opposite sides that are congruent. A rectangle is always a parallelogram because of this.
How many edges are there on a parallelepiped?
Congruent and parallel faces are found in pairs. Eight (8) vertices and twelve (12) edges make up the parallelepiped. The parallelepiped's edges can be divided into three (3) sets of four (4) edges each, where each set's edges are parallel and all have the same length. A zonohedron is the parallelepiped as well.
How many faces are there on a parallelepiped?
A parallelepiped is a six-faced, three-dimensional structure with a parallelogram-like pattern on each face. It contains 12 edges, 6 faces, and 8 vertices. Rhomboid, cuboid, and cube are all variations on the parallelepiped.
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Does anyone know the assets to this ?
Answer: The net force equals the mass times the acceleration so answer 1 would be 16N (4x4). Does that help at all?
Explanation:
DOO
Ransit
If the two objects above are traveling at the same speed, which has more momentum?
O The car, because its shorter
O The truck, because its taller
O The car since it has less mass
O The truck, since it has more mass
Answer:
truck, since it has more mass
Explanation:
truck, since it has more mass
formula:
momentum (p) = mass (m) times velocity (v)
height has nothing to do with it
The following images show four identical Sun-like stars and their companion planets, all traveling in circular orbits. In each case, the mass of the planet is given in Jupiter masses and the orbital distance is given in Astronomical Units (AU), Rank each case based on the strength of the gravitational force exerted by the extrasolar planet on its contrastar, from weakest to strongest if you think that two or more) diagrams should be ranked as equal, drag one on top of the others to show this equality (Not to scale) View Available Hints) Reet Help One Jupiter Mass Four Supiter Masse 20 One Jupiter Mas Tho Supiter Hasses Weakest Strongest
The case would be ranked 1 (weakest)> 2=3>4 (Strongest)
We know that the force of gravity is
F=G. M1M2/r2, where
F is the force of gravity.
G is the gravitational constant.
M1 is the core star's mass.
M2 = Planetary Rotational Mass
r = Radius of Revolution
The table below shows a visualization of these variables:
Case Mass of planet Mass of the central star Distance Force
1 1 Jupiter mass i.e., M2 M1 2 AU GM1M2/4
2 1 Jupiter mass i.e., M2 M1 1 AU GM1M2
3 4 Jupiter mass i.e.,4 M2 M1 2 AU 4GM1M2/4= GM1M2
4 2 Jupiter mass i.e.,2 M2 M1 1 AU 2GM1M2
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Two coherent sources of radio waves, A and B, are 5.00 meters apart. Each source emits waves with wavelength 6.00 meters. Consider points along the line connecting the two sources.
1) At what distance from source A is there constructive interference between points A and B?
2) At what distances from source A is there destructive interference between points A and B? Note that there will be two separate interference fringes between point A and point B. Enter your answers in ascending order separated by a comma.
I know 1) is 2.5m but for b i need more than 1 answer
For constructive interference between point A and B, it must be at a distance. 2.5m from source A.
For destructive interference, it must be at a distance 1m from A or 4m from B
What is interference in radio waves?it occurs when unwanted radio frequency signals disrupt the use of your television, radio, or cordless telephone. Interference may prevent reception altogether, may cause only a temporary loss of a signal, or may affect the quality of the sound or picture produced by your equipment.
Now, let's try to answer the question 1.
for constructive interference, the path distance will be 0 (zero)
So it must be equally divided distance from both source's distance.
distance between radio waves A and B = 5m apart
For constructive interference = 5m / 2 = 2.5m
Therefore, it must be at a distance 2.5m from A and B.
Moving on to question 2.
for destructive interference, we are using the formula for path difference
path difference = lambda / 2 = 6m / 2 = 3m
given from question
lambda (wavelength) = 6m
Let the distance from A as Z
Then, the distance from B will be 5-Z
Path difference = 5-Z-Z
3 = 5 - 2Z
Z = 1m
The distance from A = 1m
The distance from B = 5 - 1 = 4m
Therefore, for a destructive interference, it must be at a distance 1m from A, or 4m from B.
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here's the answer for everyone :)
Answer:
b
Explanation:
Answer:
Explanation:thx
A race car makes one lap around a track of radius 50 m in 9.0 s. What was the car's centripetal acceleration?
The velocity of the car is 5.5 m/s. Then the centripetal acceleration of the car will be 0.6 m/s².
What is centripetal acceleration?Acceleration is a physical quantity measuring the rate of change in velocity. It has both magnitude and direction.
Centripetal acceleration is the acceleration of an object moving through a circular path. Thus its measures the rate of change in velocity of the body moving in the curvature path.
The centripetal acceleration = V²/R.
Where R is the radius of the curvature path.
The car moves 50 m in 9 seconds. Its velocity is 50/9 = 5.5 m/s.
Thus, centripetal acceleration = (5.5 × 5.5) m/s/ 50 m = 0.6 m/s².
Therefore, the centripetal acceleration of the car moving at a speed of 9 m/s through curvature path is 0.6 m/s².
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If there is no external force on a moving object, it will
A stop moving.
B.keep moving with constant velocity.
C.gradually slow down until it stops.
D.gradually speed up.
E.maintain the same state of motion.
Answer:
B keep moving with constant velocity
Explanation:
newton's third law of motion
a 70.0 cm, uniform, 60.0 n shelf is supported horizontally by two vertical wires attached to the sloping ceiling (figure 1). a very small 25.0 n tool is placed on the shelf midway between the points where the wires are attached to it.a 70.0 cm, uniform, 60.0 n shelf is supported horizontally by two vertical wires attached to the sloping ceiling (figure 1). a very small 25.0 n tool is placed on the shelf midway between the points where the wires are attached to it.
The tension in left and right wire are 29 N and 53N respectively.
What is tension?Tension is a feeling of tightness, stress, or strain resulting from physical, mental, or emotional conflict. It is a state of being that can be caused by both positive and negative experiences. Tension can manifest itself in physical symptoms such as headaches, muscle tightness, and fatigue. It can also manifest itself emotionally in a sense of unease, worry, and anxiety. Tension can be both a healthy and unhealthy emotion. It can be a warning sign of danger or a motivator to take action. It can also be a sign of stress and can lead to feelings of helplessness or depression. Generally speaking, learning to recognize tension and finding ways to manage it is an important part of maintaining mental and physical well-being.
∑ fy=0
T1+T2=60+22 N=82N
∑ Mₐ=0 (moment about a=Mₐ)
22(25)+60(35)=50T2
T1=82-53=29N
Tension in left wire=29N
Tension in right wire=53N
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a homogeneous cylinder of radius r and height h floats at the interface of two fluids with densities. if p2
The pressure differential between the cylinder's top and bottom is expressed as
Δp=gH/2(Pa+Pb)
define homogeneous ?
A homogeneous population is one that is made up of components or pieces that are all of the same sort; it is not heterogeneous.
Mathematics.
possessing a common quality throughout: a homogenous solid figure.
A homogeneous equation has all terms of the same degree.
when each variable is multiplied by that constant, the function of numerous variables gets multiplied by some power of that constant: x2y3 is a degree 5 homogeneous expression related to a differential equation in which a linear combination of derivatives is set to zero.
As we know, the weight of the cylinder balances the force due to pressure.
As a result, we will have
F=mg
so we have
Δpπr^2=mg
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You’re an astronaut in the first crew of a new space station. The station is shaped like a wheel 22 m in diameter, with essentially all its 5.0×105 kg mass at the rim. When the crew arrives, it will be set rotating at a rate that requires an object at the rim to have radial acceleration g, thereby simulating Earth’s surface gravity. This will be accomplished using two small rockets, each with 100 N thrust, mounted on
the station’s rim. Determine how long to fire the rockets.
The time taken to fire the rocket at the given thrust is 1,382.3 seconds.
What is the centripetal acceleration of the wheel?The centripetal acceleration of the wheel is calculated by applying the following formula.
F = ma
where;
a is the centripetal acceleration of the wheelm is the mass of the wheelF is the thrust or force of the rocketsa = F / m
a = (100 N) / (5 x 10⁵)
a = 2 x 10⁻⁴ m/s²
The velocity of the wheel is calculated as follows;
a = v²/r
where;
r is the radius of the wheel = 11 mv² = ar
v = √ (ar)
v = √ (2 x 10⁻⁴ x 11 )
v = 0.05 m/s
The time of motion of the motion of the rockets at the given speed is calculated as;
v = 2πr / T
T = 2πr / v
T = (2π x 11) / (0.05)
T = 1,382.3 seconds
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two photons have the same wavelength. they also have the same question 30 options: frequency. energy. both of these. neither of these.
The fact that two photons have the same apparent wavelength does not mean that they are identical.
define photon ?
A photon is an elementary particle that is a quantum of the electromagnetic field, including electromagnetic radiation like as light and radio waves, and the force carrier for the electromagnetic force. Because photons have no mass, they always travel at the speed of light in vacuum, which is 299792458 m/s (or approximately 186,282 mi/s). The photon is a boson.
Photons, like other fundamental particles, are best explained by quantum physics and display wave-particle duality, or behaviour that exhibits traits of both waves and particles. The current photon notion emerged during the first two decades of the twentieth century, thanks to the work of Albert Einstein, who expanded on Max Planck's study.
Because photon frequencies (or inversely, wavelengths) are part of a continuous universe, doesn't this imply that no two photons have the same frequency Due to measuring constraints, two photons may have the same apparent wavelength, but this does not imply that they are identical.
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A block is placed on a horizontal table. The block is then pulled to the right with a string. The block remains at rest. A spring scale, attached to the string, reads 10 N.
Which force acting on the block is equal to 10 N?
Force exerted by static friction
Gravitational force exerted on block
Force to the left exerted by air resistance
Upward force exerted by table
The 10 N reading on the spring balance must be the gravitational force exerted on block.
What is the weight?When we talk about the weight of an object, we are talking about the force of gravity that is acting on the object because the object can be found on earth. We know that the gravitational force is common on every object that is found on earth.
Thus, it is clear that for the object, the spring scale, attached to the string, reads 10 N. This must have to do with the gravitational pull that is acting on the object.
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Find the maximum height and range for vo = 10 m/s, θ = 30°, and Δdy = 1 m. The displacement Δdy corresponds to the stage of the projectile flight where it is moving downward. What is the flight time?
The maximum height of the projectile is 1.28 m, the range is 5.1 m, and the flight time is 6.066 seconds.
To find the maximum height and range of a projectile with initial velocity vo, launch angle θ, and displacement Δdy, we can use the following equations:
Maximum height: h = (vo²sin^2(θ)) / (2 × g)
Range: R = (vo² sin(2θ)) / g
where g is the acceleration due to gravity (g = 9.8 m/s² on Earth).
As per the question, the maximum height and range of the projectile are given by:
Maximum height: h = (10² × sin²(30)) / (2 × 9.8) = 25 / 19.6 = 1.28 m
Range: R = (10² × sin(60)) / 9.8 = 50 / 9.8 = 5.1 m
To find the flight time of the projectile, we can use the following equation:
Flight time: t = 2 × vo × sin(θ) / g
In this case, the flight time of the projectile is given by:
Flight time: t = 2 × 10 × sin(30) / 9.8 = 6.066 seconds.
Therefore, the maximum height of the projectile is 1.28 m, the range is 5.1 m, and the flight time is 6.066 seconds.
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when a molecular orbital has an energy that is higher than the orbitals from which it is formed, we call this a(n) orbital.
Molecular orbitals are classified into three types: bonding orbitals, which have a lower energy
What exactly are orbitals?
In physics and chemistry, orbitals are a mathematical function that depicts the wave nature of an electron or a pair of electrons in an atom. This formula may be used to determine the likelihood of detecting an electron near the nucleus. In layman's terms, an atomic orbital is a physically defined region or space in which electrons exist. In general, an atom is made up of electrons that are locked inside electronic orbitals.
Molecular orbitals are classified into three types: bonding orbitals, which have a lower energy than the atomic orbitals that formed them and thus promote the chemical bonds that hold the molecule together; antibonding orbitals, which have a higher energy than their constituent atomic orbitals and thus oppose the molecule's bonding; and non-bonding orbitals, which have the same energy as their constituent atomic orbitals and thus have no effect on the molecule's bonding.
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study island genticsBelow is a Punnett square for the color of a hybrid rose. The allele y is for dark yellow and the allele Y is for pale yellow.
Y y
y Yy yy
y Yy yy
If a rose with the genotype Yy is pale yellow in color, which alelle is dominant?
A.
dark yellow, y
B.
dark yellow, Y
C.
pale yellow, Y
D.
pale yellow, y
If a rose with the genotype Yy is pale yellow in color, then there is not complete dominance for neither allele and it is a case of incomplete dominance. Nonetheless, since allele Y is for pale yellow and the hybrid has this phenotype, then it is partially dominant (pale yellow, Y, option 3).
What is incomplete dominance?Incomplete dominance is a genetic phenomenon in which one of the two alleles present for a given gene locus is expressed more strongly when compared to the other allele, which is called partially dominant and partially recessive alleles, respectively.
Conversely, complete dominance is due to the presence of an allele that completely masks the expression of the recessive allele in heterozygous hybrid individuals.
Therefore, with this data, we can see that incomplete dominance is associated with the expression of both alleles in the heterozygous hybrid individuals.
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a 0.5 kg car is moving at a constant velocity 5 m/s. What is the kinetic energy of the car?
Curran is testing out a newly waxed hallway floor by sliding in his socks.
He runs from one end of the hallway and starts sliding midway going all
the way to the right. The forces acting on Curran as he is sliding are
represented in the diagram below. Identify the forces and match them
correctly to the numbers.
Answer:
Curran is testing out a newly waxed hallway floor by sliding in his socks.
He runs from one end of the hallway and starts sliding midway going all
the way to the right. The forces acting on Curran as he is sliding are
represented in the diagram below. Identify the forces and match them
correctly to the n
Which method of heat transfer warms the air just above hot sand on a beach?
Convection, because heat is transferred through the solid sand
Conduction, because the air particles in contact with hot sand move faster
Conduction, because the heat moves with the help of electromagnetic waves
Convection, because the air particles transfer heat in the absence of a medium
Heat is transferred by a fluid's macroscopic movement, which is known as convection. Weather systems and forced-air furnaces both use this form of transmission. Thus, option A is correct.
What Convection method of heat transfer warms?Convection, as heat is transmitted through the sand's solid structure. Conduction, as the air particles that come into contact with the hot sand travel more quickly.
The heat is transferred inside the fluid during convection. Heat transfer in radiation happens by electromagnetic waves without the use of particles.
Conduction, as heat is transferred using electromagnetic waves Convection, since heat is transferred by air particles without the usage of a medium.
Therefore, Convection, because heat is transferred through the solid sand.
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At which latitudes shown in the image of Earth do people experience the greatest tangential speed? Explain why.
Answer:
Below
Explanation:
At 0 ( or between 30 N and 30 S)
they travel the largest circle circumference in a 24 hour day rotation
g a -4.00 nc point charge is at the origin, and a second -5.50 nc point charge is on the x-axis at x = 0.800 m.
The magnitude and direction of the electric field at x = 0.200 m is 762.5 N/C to the left.
The magnitude and direction of the electric field at x = 1.200 m is 334.375 N/C to the left.
The magnitude and direction of the electric field at x = - 0.200 m is 949.50 N/C to the right.
The formula to calculate the magnitude of the electric field is
E = (kQ) ÷ r²
where
k = a Coulomb's constant = 9 × 10⁹ Nm²/C²Q = the magnitude of point charge (Coulomb)If the point charge has a negative charge, the direction of the electric field goes to the point charge. But if the point charge has a positive charge, the direction of the electric field goes away from the point charge.
The problem is not complete, it should say where is the point. Using a similar problem, for the same question.
For x = 0.200 m
Q₁ at originFor x = 1.200 m
Q₁ at originFor x = - 0.200 m
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f the perimeter of the window is 16 feet, find the exact value of x (in ft) so that the greatest possible amount of light is admitted.
The perimeter of the window is 16 feet, find the exact value of x (in ft) so that the greatest possible amount of light is admitted is 37.278 feet.
What is perimeter?
The area surrounding a shape's edge is known as its perimeter. By multiplying the side lengths of various forms, one can determine their perimeter.
What is light ?
The electromagnetic radiation known as light is what enables the human eye to see and makes things visible. It can also be described as radiation that can be seen by humans. Light is made up of small energy packets called photons.
perimeter = 16
x+2h+πx/2= 16
h= 8-x/2- xx/4⇒1
maximize
Area;
A= xh+π(x/2)²/2
A= xh+π x²/8
Pu + h = 8-x/2 - xx/4
A= x(8-x/2 - xx/4 ) +π/8 x²
A= 8x- x²/2 - x²/4 +xx²/8
Differentiate with respect to "x"
dA/dx = 8x-1 -π/4*2x²+π/8*2x²⁻¹
dA/dx = 8-x-π/2 x+π/4 x
dA/dx= 8- (1-π/2 +π/4 ) x
For maximum
Solve dA/dx=0
= 8-(1-π/2+π/4)x =0
x= -8/-(1-π/2+π/4)
x= 37.278 feet
Therefore, the perimeter of the window is 16 feet, find the exact value of x (in ft) so that the greatest possible amount of light is admitted is 37.278 feet.
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Suppose that the period is T. Which of the following points on the t axis are separated by the time interval T?
K and L
K and M
K and P
L and N
M and P
The points on the t axis separated by the time interval T are K and P.
The true choice is C.
In Physics, a period is the length of time it takes for one oscillation or one wave to occur. The symbol for the period is T with units of seconds or seconds (s).
K and P are one wave on the transverse wave. One wave is a combination of one hill and one valley. While K and M are defined as half waves.
Water waves, rope waves, and light waves. is a wave whose direction of propagation is parallel to the direction of vibration.
In longitudinal waves, one wave consists of one stretch and one density.
This question is accompanied by a picture
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The geocentric model could not explain which of the following observations made by early astronomers? Select the two correct answersMars and Jupiter appeared to move backwards for some period of timeThe planets had epicyclesThe stars appeared to moveMercury and Venus changed in appearance throughout the year
Mercury and Venus changed in appearance throughout the year and Mars and Jupiter appeared to move backwards for some period of time are two observation not explain by geocentric model.
The geocentric model is what.The Ptolemaic system frequently serves as an example of the geocentric paradigm, also referred as geocentrism, which is a discredited theory that places Earth at the center of the universe. Our Sun, Moon, stars, & planets also orbit Earth according to the majority of geocentric models.
What was the geocentric model of Aristotle?According to Aristotle's model, the celestial planets orbit the Earth in a regular, orderly fashion, in perfect circles, and with uniform motion, neither accelerating nor decelerating.
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an electric field of 800N/C cause a charged ball of 50g mass to make an angle of 30 degree from the vertical whats the charge om fhe ball
Answer: Charge on the ball is 3.6 ×10^-4 C.
In this question we have given the Electric field of the region we need to find the Charge on the ball .
What is Electric Field?
--An electric field is the physical field that surrounds electrically charged particles and exerts force on all other charged particles in the field, either attracting or repelling them.
We used the concept of string ball-- i.e
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Question 16 of 20
A zinc atom contains 30 protons, 35 neutrons, and 30 electrons. What is the
atomic mass of zinc?
A. 65 amu
B. 95 amu
C. 60 amu
D. 35 amu
SUBMIT
Answer: 65 amu
Explanation: Proton+ Neutron
in 1990 walter arfeuille of belgium lifted a 281.5-kg object through a distance of 17.1 cm using only his teeth.
In 1990 Walter areole of Belgium lifted a 281.5-kg object through a distance of 17.1 cm using only his teeth, the total force is 2.76 kN.
What is force?
An object having mass changes its velocity in response to a push or pull. Force is an external agent that has the power to alter a body's resting or moving condition. It has a size and a movement.
What is distance?
The entire movement of an object, regardless of direction, is called distance. Distance can be characterized as the quantity of ground covered, regardless of the starting or finishing points of an object.
a)Work done = m*g*h
where g = acceleration of gravity = 9.8 m/s2
h = 17.1 cm = 0.171 m
So, W = 281.5*9.8*0.171 = 471.8 J
b)Total force exerted,
F = mg = 281.5*9.8 = 2758.7 N = 2.76 kN
Therefore, in 1990 Walter areole of Belgium lifted a 281.5-kg object through a distance of 17.1 cm using only his teeth, the total force is 2.76 kN.
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