005 10.0 points
Two airplanes leave an airport at the same
time. The velocity of the first airplane is
700 m/h at a heading of 69.8°. The velocity
of the second is 620 m/h at a heading of 107.
How far apart are they after 1.9 h?
Answer in units of m.
Answer:
V1 = 700 cos 69.8 i + 700 sin 69.8 j vector components of V1
V1 = 241.7 i + 656.9 j in miles/hour
V2 = 620 cos 107 i + 620 sin 107 j
V2 = -181.3 i + 592.9 j
V = V1 - V2 = 423 i + 64 j rate of planes separation
1.9 V = 803.7 i + 121.6 j miles separation of planes after 1.9 hr
D = (803.7^2 + 121.6^2)^1/2 = 812.8 miles
A satellite with a mass of 120 kg fires its rocket thrusters, which give an impulse of 7440 kg-m/s. What was the total change in the velocity of the satellite — that is, what was the total AV?
A. 17 m/s
B. 88 m/s
C. 45 m/s
D. 62 m/s
From the calculation and the momentum of the body, the velocity is 62 m/s
What is momentum?The term momentum refers to the product of mass and velocity. Now recall that the rate of change of momentum is equal to the impressed force.
Hence;
7440 kg-m/s = 120 kg * v
v= 7440 kg-m/s/120 kg
v = 62 m/s
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Substances which naturally attract each other called what
Answer:
Ferromagnetism, physical phenomenon in which certain electrically uncharged materials strongly attract others. Two materials found in nature, lodestone (or magnetite, an oxide of iron, Fe3O4) and iron, have the ability to acquire such attractive powers, and they are often called natural ferromagnets.
Hope this help :)
Which of the following is an example of acceleration?
A boat sits on a boat trailer.
A boat sits on a boat trailer.
A car moves in a straight line at 60 km/hr.
A car moves in a straight line at 60 km/hr.
A plane moves in air at a steady speed of 850 km/hr.
A plane moves in air at a steady speed of 850 km/hr.
A bus moves on a straight road and then makes a right turn.
A bus moves on a straight road and then makes a right turn.
Answer:
i would say a bus because it has to speed up after the turn
Answer:
The bus
Explanation:
when the bus turns it has a change in direction and since velocity is a vector based on speed and direction the velocity is considered changed and since acceleration is a change in velocity the bus is an example of acceleration
Science
plz help
will give brainlist
Most of the galaxies in the universe are observed to be moving away from Earth. Suppose a particular galaxy emits orange light with a frequency of 5.000 x 10 Hz. Part A If the galaxy is receding from Earth with a speed of 4500 km/s, what is the frequency of the light when it reaches Earth? Express your answer to four significant figures and include appropriate units.
The frequency of light when it reaches Earth is approximately 4.988 x 10^14 Hz.
Explanation:-
Given:
Emitted frequency of light, f = 5.000 x 10^14 Hz,
Speed of the galaxy receding from Earth, v_src = 4500 km/s.
We need to convert the speed of the galaxy from km/s to m/s:
v_src = 4500 km/s * (1000 m/km)
v_src = 4.5 x 10^6 m/s
Plugging the given values into the Doppler effect formula:
f' = (5.000 x 10^14 Hz) * (3.00 x 10^8 m/s + 0 m/s) / (3.00 x 10^8 m/s + 4.5 x 10^6 m/s)
Simplifying the expression:
f' = (5.000 x 10^14 Hz) * (3.00 x 10^8 m/s) / (3.00 x 10^8 m/s + 4.5 x 10^6 m/s)
f' ≈ 4.988 x 10^14 Hz
Therefore, the frequency of light when it reaches Earth is approximately 4.988 x 10^14 Hz.
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The acceleration of free fall on a certain planet is 8.0 m s-2. An object gets dropped from a
height and hits the ground after 1.5 s. From what height must the object have been dropped?
We are given that:
The acceleration of free fall on a certain planet is 8m/s². An object is dropped from the height and hits the ground after 1.5sWe need to find:
Height from which the object was dropped.Using equations of motion:
➙ v² - u² = 2as
➙ v = u + at
here,
u = initial velocityv = final velocitya = accelerations = displacementt = time taken Solution:From the given information, we can conclude that:
initial velocity of the object is 0 m/sacceleration due to gravity = 8 m/s²time taken = 1.5 secondsNow, using equation of motion:
➝ v = u + at
➝ v = 0 + ( 8 × 1.5 )
➝ v = 0 + 12 .0
➝ v = 12 m/s
final velocity of object = 12 m/sFor, acceleration :
➝ v² - u² = 2as
➝ ( 12 )² - ( 0 )² = 2 × 8 × s
➝ 144 - 0 = 16s
➝ 16 s = 144
➝ s = 144 / 16
➝ s = 9m
Displacement = 9 m\( \dag\) Since, we take displacement in terms of distance in some places, therefore we can say that the height from which the object was dropped is 9 meters .
A 1250kg car driving 1200km to Florida in 19.5 hours gets a speeding ticket for traveling 120km/h in Turbeville South Carolina. What is the cars average speed during the trip?
Answer:
v = 61.54 km/h
Explanation:
The average speed of the car can be found by using the total distance covered by the car and the total time taken for that distance to be traveled. Therefore, the average speed of the car can be found by the following formula:
\(v = \frac{d}{t}\\\)
where,
v = average speed during the trip = ?
d = total distance driven by the car = 1200 km
t = time taken for the traveling = 19.5 hr
Therefore,
\(v = \frac{1200\ km}{19.5\ hr}\\\\\)
v = 61.54 km/h
Un motociclista arranca desde el reposo y mantiene una aceleración constante de 0.14 m/s^2. Calcular: a) En que tiempo recorrerá una distancia de 1.3 Km/h b) Qué rapidez llevará en ese tiempo en m/s y en Km/h *
Answer:
\(136.28\ \text{s}\)
19.08 m/s or 68.688 km/h
Explanation:
a = Aceleración = \(0.14\ \text{m/s}^2\)
s = Desplazamiento = \(1.3\ \text{km}=1300\ \text{m}\)
u = Velocidad inicial = 0
t = Tiempo empleado
De las ecuaciones cinemáticas obtenemos
\(s=ut+\dfrac{1}{2}at^2\\\Rightarrow 1300=0+\dfrac{1}{2}\times 0.14t^2\\\Rightarrow t=\sqrt{\dfrac{1300\times 2}{0.14}}\\\Rightarrow t=136.28\ \text{s}\)
El tiempo necesario para recorrer una distancia de 1,3 km es \(136.28\ \text{s}\)
\(v^2-u^2=2as\\\Rightarrow v=\sqrt{2as+u^2}\\\Rightarrow v=\sqrt{2\times 0.14\times 1300+0}\\\Rightarrow v=19.08\ \text{m/s}=19.08\times 3.6=68.688\ \text{km/h}\)
La velocidad final del automóvil es 19.08 m/s so 68.688 km/h.
A gray kangaroo can bound across a flat stretch of ground with each jump carrying it 8.0 m from the takeoff point.
If the kangaroo leaves the ground at a 22˚ angle, what is its takeoff speed?
What is its horizontal speed?
The kangaroo's horizontal speed will be 9.7 m/s and its departure speed will indeed be 10.65 m/s.
What is the sound's velocity?By observing the pace at which this compressed region moves through the medium, we may determine the sound speed. The sound wave travels at a speed of around 343 meters per second in low humidity at 20 degrees Celsius.
Briefing:The following equation relates the distance to the direction and initial velocity:
d = [v₀²sin2θ]/g, where θ – the angle of the jump.
Thus, v₀² = gd / (sin2θ) = (9.8×8)/0.69 = 113.62
v₀ = 10.65 m/s ( the take off speed).
The horizontal velocity equals:
vₓ = v₀cos 22° = 10.65 m/s × 0.92 = 9.7 m/s
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A test rocket is launched by accelerating it along a 200.0 m, 35 degree incline at 1.25 m/s/s starting
from rest. The instant the rocket leaves the incline, its engines turn off, it is subject only to gravity,
and air resistance can be ignored. Find
a) the maximum height above the ground the rocket reaches
Answer:
The maximum height above the ground the rocket reaches is 123.1 m.
Explanation:
Let's find the final velocity at a distance of 200 m:
\( v_{f}^{2} = v_{0}^{2} + 2ad \)
Where:
\(v_{f}\) is the final speed =?
v₀ is the initial speed =0
a is the acceleration = 1.25 m/s²
d is the distance = 200 m
\(v_{f} = \sqrt{2ad} = \sqrt{2*1.25 m/s{2}*200 m/s} = 22.4 m/s\)
Now, when the engines of the rocket turn off and it is subject only to gravity, the height reached is:
\( v_{fy}^{2} = v_{0y}^{2} - 2gh \)
Where:
\(v_{f}\) = 0
\(h = -\frac{v_{fy}^{2} - v_{0y}^{2}*sin(\theta)}{2g} = \frac{(22.4*sin(35))^{2}}{2*9.81 m/s^{2}} = 8.4 m\)
Finally, the maximum height above the ground is:
\( h_{max} = h + H \)
Where H is the vertical component of the 200.0 meters.
\(h_{max} = h + H = 8.4 m + 200.0 m*sin(35) = 123.1 m\)
Therefore, the maximum height above the ground the rocket reaches is 123.1 m.
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A car can move from rest to 35 m/s in 5.0 seconds. It's acceleration is
a. 7.0 m/s^2
b. 5.0 m/s^2
c. 4.0 m/s^2
d. 175 m/s^2
Answer:
A) 7.0 m/s²
Explanation:
Acceleration is found by using the formula:
a = Δv/ΔtThis means the change in time divided by the time interval will give us the car's acceleration.
Since the car starts from rest, its initial velocity is 0 m/s. Its final velocity is 35 m/s. The time interval for the car to go from 0 to 35 m/s is 5.0 seconds.
a = (v - v₀)/tSubstitute the final and initial velocity into the formula.
a = (35 - 0)/5 a = 35/5a = 7The acceleration of the car is A) 7.0 m/s².
Electromagnetic (em) radiation penetrates the atmosphere of earth at what portions of the electromagnetic spectrum?
Longwave radiation is the name given to the infrared component of the spectrum of radiation that Earth emits; its usual wavelengths range from 4 to 30 micrometers (0.0002 to 0.001 inch).
The electromagnetic spectrum is made up of radio waves, microwaves, infrared light, visible light, ultraviolet light, X-rays, and gamma rays, among other types of electromagnetic radiation. The earth's atmosphere blocks out the majority of electromagnetic radiation from space, preventing most of it from reaching the planet's surface.
Visible light is electromagnetic radiation with wavelengths between 400 and 700 nm. A portion of the electromagnetic spectrum that humans can see with our eyes is the visible light or spectrum. The outside of Earth. Effectively, visible light can pass through Earth's atmosphere.
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which continent had to move the furthest to get to where it is today based on where it was in Pangaea.
Asia I think that's right
if a proton is placed in a uniform electric field, what would be the magnitude and the direction of this field if the electrostatic force acting on the proton is just to balance it's weight
There are two forces acting on the proton, the electrostatic force and the weight; we also know that the forces are balanced which means that they have to be equal, then we have:
\(\begin{gathered} F_e=W \\ \text{ where} \\ F_e\text{ is the electrostatic force} \\ W\text{ is the weight} \end{gathered}\)Now, we know that the electrostatic force is related to the electric field by:
\(F_e=qE\)and that the weight is given by:
\(W=mg\)Plugging these in the first equation we have:
\(\begin{gathered} qE=mg \\ E=\frac{mg}{q} \end{gathered}\)The mass and charge of the proton are:
\(\begin{gathered} m=1.67\times10^{-27} \\ q=1.6\times10^{-19} \end{gathered}\)plugging the values in the expression for the field we have:
\(\begin{gathered} E=\frac{(1.67\times10^{-27})(9.8)}{1.6\times10^{-19}} \\ E=1.02\times10^{-7} \end{gathered}\)Therefore, the magnitude of the field is:
\(E=1.02\times10^{-7}\text{ }\frac{N}{C}\)Since a proton has a positive charge it will move in the direction of the field; in this case we need the force to be pointing up since the weight points down.
Therefore, the direction of the field is up.
You see a plane directly overhead at 1622 m.3.51 seconds later, you hear the sonic boom. The speed of sound is 344
s
m
How fast is the plane traveling? Round your answer to 2 decimal places.
s
m
What is the Mach Number for the plane? Round your answer to 2 decimal places.
The Mach number for the plane is approximately 3.51.
To find the speed of the plane, we can use the equation:
Speed of sound = Speed of the plane / Time taken
Given: Speed of sound (v) = 344 m/s
Time taken (t) = 3.51 seconds
Let's calculate the speed of the plane:
Speed of plane = Speed of sound × Time taken
Speed of plane =\(344 m/s * 3.51 s\)
Speed of plane ≈ 1206.44 m/s
Rounded to 2 decimal places, the speed of the plane is approximately 1206.44 m/s.
To find the Mach number of the plane, we need to divide the speed of the plane by the speed of sound:
Mach number = Speed of plane / Speed of sound
Mach number ≈ \(1206.44 m/s / 344 m/s\)
Mach number ≈ 3.51
Rounded to 2 decimal places, the Mach number for the plane is approximately 3.51.
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a block with a mass of 1.5 kg is set atop a vertical spring compressed 0.75 m. when the spring is released, the block flies upward and achieves a speed of 2.5 m/s at a height of 1.4m. what is the spring constant of the spring?
The spring constant of the spring to which a block is attached and spring is compressed initially and then released is 16.67 N/m.
Energy is being transferred from one form to another form and follows conservation of energy.
Mathematically,
" 1/2 * k * x² = 1/2 * m * v² "
where, k is the spring constant = ?
Compression of the spring = 0.75 m
m is Mass of the block = 1.5 kg
v = velocity of the block = 2.5 m/s
Placing values in above equation, we get,
1/2* k * (0.75)² = 1/2* (1.5)* (2.5)²
k * (0.75)² = (1.5)* (2.5)²
k = [(1.5)* (2.5)²]/(0.75)² = 9.375/0.5625 = 16.67 N/m
Thus, the spring constant of the spring is 16.67 N/m.
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the speed of an object increases by 30 m/s in 10 seconds. what is its acceleration?
Answer:
3m/s^2
Explanation:
acceleration=velocity/time
acceleration= 30/10=3m/s^2
Three forces act on an object in vertical plane two forces of 500N and 300N act vertically upwards and the third force of 600N acts vertically downwards determine the resultant force acting on the object
The resultant force acting on the object is 200 N upwards.
What is the resultant force acting on the object?
The resultant force acting on the object is calculated by taking sum of all the forces including their direction.
Mathematically, the formula for the resultant force acting on the object is given as;
F ( net ) = F1 + F2 + F3
where;
F1 is the first force acting vertically upwardF2 is the second force acting vertically upwardF3 is the third force acting vertically downwardThe magnitude of the first force acting vertically upward = 500 N
The magnitude of the second force acting vertically upward = 300 N
The magnitude of the third force acting vertically downwards = 600 N
The resultant force acting on the object is calculated as follows;
F (net) = 500 N + 300 N - 600 N
F (net) = 200 N
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Match each physical property of matter to the appropriate definition
What are the properties and definitions?
Answer:
Theses are the answer
Explanation:
direction cosines tell the angle between the force vector and each of the coordinate axes. select one: true false
The given statement about “direction cosines tell the angle between the force vector and each of the coordinate axes” is true.
Analytical geometry defines the directional cosines of a vector as the cosines of the angles formed by the vector with the three coordinate axes. To calculate the cosine of a vector's direction, divide the relevant coordinate by the vector's length. A direction's cosine is equivalent to a unit vector's x-coordinate. One such property of the direction cosine is that the sum of the squares of all the direction cosines equals one. The cosine of the angle subtended by a line having three coordinate axes, such as the x-axis, y-axis, and z-axis, is known to be the direction cosine. The direction cosines are cos α, cos β, and cos γ if the angles subtended by these three axes α, β, and γ.
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why do the brightest stars in our sky appear so bright compared to other stars in our sky?
The brightness of stars as observed from Earth depends on several factors, including their intrinsic luminosity (actual brightness) and their distance from Earth. The brightest stars in our sky appear bright compared to other stars primarily due to their higher intrinsic luminosity and their relative proximity to Earth.
1. Intrinsic luminosity: The brightness of a star is determined by its intrinsic luminosity, which is the total amount of energy it emits per unit of time. Bright stars have a higher intrinsic luminosity, meaning they emit more light compared to dimmer stars.
2. Proximity to Earth: The distance between a star and Earth plays a significant role in its apparent brightness. Bright stars that appear particularly luminous are often relatively closer to our solar system, which results in a more significant amount of their emitted light reaching our eyes.
It's important to note that the apparent brightness of stars can also be influenced by factors such as interstellar dust, atmospheric conditions, and the transparency of Earth's atmosphere. Additionally, some stars may appear brighter due to their larger size or higher surface temperature, leading to greater energy output.
Overall, the combination of intrinsic luminosity and proximity to Earth contributes to the perception of certain stars as the brightest in our sky compared to others.
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How much water will flow in 30 secs through 200 mm of capillary tube of 1.50 mm in diameter, if the pressure difference across the tube is 6660N/m² and viscosity is 8.01x10 kg/ms
The water outflow in 30 secs through 200 mm of the capillary tube is mathematically given as
\(Qo=1.6 \times 10^{2} \mathrm{~mL}\)
What is the water outflow in 30 secs through 200 mm of the capillary tube?\(\begin{aligned}\Delta P &=6660 \mathrm{~m} / \mathrm{m}^{2} \\\mu &=8.01 \times 10^{-4} \text { Pas } \\t &=30 \mathrm{~s} \\L &=200 \mathrm{~mm}=200 \times 10^{-3} \mathrm{~m} \\D &=1.5 \mathrm{~mm}=1.5 \times 10^{-3} \mathrm{~m} \Rightarrow \gamma=\frac{1.5 \times 10^{-3}}{2} \mathrm{~m}\end{aligned}\)
Generally, the equation for Rate of flow of Liquid is mathematically given as
\(\\$$Q=\frac{\pi r^{4} \times \Delta P}{8 \mu L}\)
$$
Where dP is pressure difference r is the radius
\(\mu\) is the viscosity of water
L is the length of the pipe
\(Q=\frac{\pi \times\left(\frac{1.5 \times 10^{-3}}{2}\right)^{4} \times 6660}{8 \times 8.01 \times 10^{-4} \times 200 \times 10^{-3}}\)
\(Q=5.2 \mathrm{~mL} / \mathrm{s}\)
In $30s the quantity that flows out of the tube
\(&Qo=5.2 \times 30 \\&Qo=1.6 \times 10^{2} \mathrm{~mL}\)
In conclusion, the quantity that flows out of the tube
\(Qo=1.6 \times 10^{2} \mathrm{~mL}\)
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two windmills stand on a field 456 feet apart. a cow is in the field, 320 feet from one windmill and 210 feet from the other. what is the measure of theta?
The cosine rule is used to determine the values of unknown aides and angles in a triangle
The measure of θ is approximately 117.2°
Reason:
Given parameters are;
The distance between the two windmills, a = 456 feet
The distance between the cow and one of the windmills, b = 320 feet
Distance between the cow and the other windmills, c = 210 feet
Required, the angle θ between b, and c direction
Solution;
By cosine rule, we have;
a² = b² + c² - 2·b·c·cos(θ)
\(cos (\theta) = \dfrac{b^2 + c^2 - a^2}{2 \cdot b \cdot c }\)Which gives;
\(cos (\theta) = \dfrac{320^2 + 210^2 - 456^2}{2 \times 320 \times 210 }\)
\(\theta = arcos \left(\dfrac{320^2 + 210^2 - 456^2}{2 \times 320 \times 210 }\right) \approx 117.2 ^{\circ}\)The measure of θ ≈ 117.2°
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at what height above the ground must a body of mass 10kg be situated in order to have potential energy equal in value to the kinetic energy possessed by another body of mass 10 kg moving with a velocity of 10 ms-1
Answer:
The body must have to be situated at a height 5.10 m.
Explanation:
The body of mass 10 kg must be situated at a height of approximately 51.02 meters above the ground.
What is conservation of energy principle?The conservation of energy principle states that the total energy of a system is constant. In this case, we can equate the potential energy of the first body to the kinetic energy of the second body, as follows:
Potential energy = Kinetic energy
\(mgh = 1/2 mv^2\)
where m is the mass of each body, g is the acceleration due to gravity, h is the height above the ground, and v is the velocity of the second body.
Substituting the given values, we get:
\(10 kg * g * h = 1/2 * 10 kg * (10 m/s)^2\)
Simplifying this equation, we get:
\(h = (1/2 * v^2) / g\\h = (1/2 * 10 m/s * 10 m/s) / 9.81 m/s^2\\h = 51.02 meters\)
Therefore, the body of mass 10 kg must be situated at a height of approximately 51.02 meters above the ground to have potential energy equal in value to the kinetic energy possessed by the other body of mass 10 kg moving with a velocity of 10 m/s.
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PLS ANSWER FAST WILL GIVE BRAINLY!!!!! BUT ONLY IF YOU KNOW
what happens outside of the nucleus?
Answer:
electrons
Explanation:
i think this is right
a 125 kg wrecking ball on a 15.4 m long cable is pulled back to an angle of 33.5 degrees and released. How much KE does it have at the bottom of its swing? (Unit = J)
Answer:
7.08
Explanation:
which type of galaxy has a stellar disk, but without gas and dust?
The type of galaxy that has a stellar disk but without gas and dust is an **elliptical galaxy**.
Elliptical galaxies are characterized by their smooth and featureless appearance, lacking the distinct spiral arms seen in disk galaxies like the Milky Way. They are composed mostly of old stars and have little to no ongoing star formation. As a result, they have depleted their interstellar gas and dust reservoirs over time, leaving behind primarily stellar populations. Elliptical galaxies can vary in size from small to massive, and their shape ranges from nearly spherical to elongated ellipsoids. They are commonly found in dense regions of galaxy clusters, where interactions and mergers between galaxies have stripped away their gas and disrupted their original disk structures.
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As shown in the figure below, cars #1 and #2 are sliding across a horizontal frictionless surface.
The cars are equipped with a coupling arrangement similar to the one on railroad cars. Car #1 overtakes car #2 and they have a totally inelastic collision and become coupled together. You know the mass of each car; m1 = 18.0 kg and m2 = 43.0 kg. In addition, you are provided with the following graph, which shows the momentum of car #1 before, during and after the collision.
The graph provides the following information:
- Momentum on the y-axis (kg·m/s) and t (in seconds) on the x-axis)
- The line starts out at 100 kg·m/s and stays there for awhile, then slopes down at an even rate, and then levels back out at 40 kg·m/s
The cars move with a velocity of 0.713 m/s just after the collision.
How do you determine velocity?By dividing the amount of time it took the object to move a certain distance by the overall distance, one can calculate the object's initial velocity. V is the velocity, d is the distance, and t is the duration in the equation V = d/t.
According to the rule of conservation of momentum, the total amount of momentum before a collision equals the total amount of momentum after the contact.
We can thus write:
m1v1i = (m1 + m2)vf
We can solve for vf as follows:
vf = (m1v1i) / (m1 + m2)
Inputting the numbers provided yields:
vf = (18.0 kg x 100 kg·m/s) / (18.0 kg + 43.0 kg)
= 45.7 kg·m/s
Therefore, the velocity of the cars just after the collision is:
v = vf / (m1 + m2)
= 45.7 kg·m/s / (18.0 kg + 43.0 kg)
= 0.713 m/s
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Spring constant of 80 N/m how much elastic potential if it’s stretched .20 metered
The elastic potential energy of the spring is 1.6 J.
What is the elastic potential energy of the spring?
The elastic potential energy of the spring is the energy stored in the spring and it is calculated as follows;
U = ¹/₂kx²
where;
k is the spring constant x is the extension of the springThe given parameters include;
the spring constant of the spring, k = 80 N/mthe extension of the spring, x = 0.2 mU = ¹/₂kx²
U = ¹/₂ (80) (0.2)²
U = 1.6 J
Thus, the elastic potential energy of the spring is a function of the spring constant and the extension of the spring.
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