The velocity of the ball just before it hits the ground is 35 m/s.
What is velocity?
Velocity is a vector quantity that describes the rate of change of an object's position in a specific direction. It is defined as the derivative of an object's position with respect to time. Mathematically, velocity is expressed as:
v = Δx / Δt
The velocity of the ball just before it hits the ground can be calculated using the concept of projectile motion. In this case, we have two components of motion: horizontal and vertical. The horizontal component is constant and equal to the initial velocity, while the vertical component is affected by gravity and follows a parabolic path.
We can use the following equation to find the time it takes for the ball to fall from the roof to the ground:
h = vi * t + 0.5 * g * t²
where h is the height of the building (45 m), vi is the initial velocity (which we are trying to find), g is the acceleration due to gravity (9.8 m/s²), and t is the time it takes for the ball to fall.
Since the ball lands 105 m from the base of the building, we can also use the horizontal component of the motion to find the time:
d = vi * t
where d is the horizontal distance traveled by the ball (105 m).
We can equate these two equations to eliminate time and find the velocity of the ball:
h = vi * (d/vi) + 0.5 * g * (d/vi)²
45 = 105 + 0.5 * 9.8 * (d/vi)²
(d/vi)² = 2 * h / g = 2 * 45 / 9.8 = 9.18
d/vi = 3
vi = d / 3 = 105 / 3 = 35 m/s
So, the velocity of the ball just before it hits the ground is 35 m/s.
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if the thermal bulb assembly develops a leak, what will occur? all of the system's refrigerant will leak out. the bulb pressure will reduce and the valve will close. the valve will open to allow more refrigerant to flow. it will have no effect on system operation
If the thermal bulb assembly develops a leak, The bulb pressure will reduce and the valve will close.
What is a thermostatic expansion valve?A thermostatic expansion valve (TXV) is a refrigeration and air conditioning throttling device which controls the amount of refrigerant liquid injected into a system's evaporator. It based on the evaporator outlet temperature and pressure which being called the superheat.
When a thermostatic expansion valve’s thermal bulb assembly develops a leak, the bulb pressure will decrease, and the valve will close. The pin or valve port piston of the electronic step-motor expansion valve could move a linear motion of 0.0783 inches/step.
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A 2.0 kg object moving east at 4.0 m/s collides
with a 5.0 kg object moving west at 6.0 m/s.
The two objects stick together after the
collision. Determine the speed of the two
objects after the collision.
The speed of the objects after collision, given that they stocked together is 5.4 m/s
How do I determine the speed of the objects after collision?We'll beging by listing out the given parameters from the question. This is given below:
Mass of object moving east (m₁) = 2.0 KgSpeed of object moving east (u₁) = 4.0 m/sMass of object moving west (m₂) = 5.0 KgSpeed of object moving west (u₂) = 6.0 m/sSpeed after collision (v) =?The speed after the collision can be obtained as shown below:
Momentum before = momentum after
m₁u₁ + m₂u₂ = v(m₁ + m₂)
(2 × 4) + (5 × 6) = v(2 + 5)
8 + 30 = v × 7
38 = v × 7
Divide both sides by 7
v = 38 / 7
v = 5.4 m/s
Thus, the speed after collision is 5.4 m/s
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at 20!c, a brass cube has edge length 30 cm. what is the in- crease in the surface area when it is heated from 20!c to 75!c?
The increase in surface area when the temperature rises from 20 to 75 degrees Celsius. = 11cm².
What transpires as the temperature rises?Heat waves will probably occur more frequently and persist longer as a result of the higher temperatures. Heat waves can be deadly, leading to conditions like heat cramps and heat stroke as well as actual mortality. Additionally, warmer temperatures have the potential to trigger a variety of other changes all around the world.
What is the name for rising temperatures?A fever is defined as a rise in body temperature above what is regarded as normal. It's also known as a high temperature, hyperthermia, or pyrexia, and it typically indicates that your body is attempting to protect you from an infection.
According to the given information:The increase in the surface area of the brass cube (which has six faces), which had side length L at 20 o, is
Δ A - 6(L - ΔL)² - 6L²
12LΔL = 12abL²ΔT
= 12(19 x 10⁻⁶/c)(30cm)²
=(75c - 20c)
= 11cm²
The increase in surface area when the temperature rises from 20 to 75 degrees Celsius. = 11cm².
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an object is 30 cm in front of a converging lens with a focal length of 5 cm. use ray tracing to determine the location of the image. is the image upright or inverted?
A 5 cm focal length converging lens is 30 cm away from the item being observed. The image is real but it is inverted.
Converging lens: what is it?Light is directed to a location at the focal spot or axis of a convergent lens. a lens that creates a true image by converting parallel light beams to convergent light rays. The image is actual and inverted as longer as the thing is not within the focal point.
What shape is a convergent lens?Since the rays concentrate after passing through the convex lens, convex lenses are indeed known as converging lenses. Since the rays disperse after striking the concave lens, curvy lenses are also known as converging lenses.
u = Object distance
= 30 cm
v = Image distance
f = Focal length
= 5 cm
Lens Equation,
1/f = 1/u + 1/v
1/f - 1/u = 1/v
1/v = 1/5 - 1/30
1/v = 1/6
v = 6cm
m = -v/u
m = -6/30
m = -0.2
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what is the capacitance of a capacitor with an initial voltage of 30.0 volts and an initial charge of 6.00 c? c
The required capacitance when voltage and charge of a capacitor are specified is calculated to be 0.2 F.
The expression for potential, charge and capacitance is known as,
Q = C V
where,
Q is charge
C is capacitance
V is voltage
The value of initial voltage is given as, V = 30 v
The value of initial charge is given as, Q = 6 c
Entering the values into the above equation, we have,
Q = C V
Making 'C' as subject, we have,
C = Q/V = 6/30 = 0.2 F
Thus, the required capacitance is calculated to be 0.2 F.
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a motorist runs out of gas on a level road 240 m from a gas station. the driver pushes the 1,260 kg car to the gas station. if a 180 n force is required to keep the car moving, how much work (in j) does the driver do?
The work done is 43200 joules.
Work is defined as the distance traveled in the direction of the force in the product of the forces. In physics, work is energy transferred to or from an object by applying a force along a displacement. In its simplest form, work done with a constant force in the direction of motion is equal to the product of the force and the distance traveled. Work is the product of the displacement and the force component in the direction of displacement. When you do work, the kinetic energy of an object changes. In this task the force is given as 180 N to move the car he 240 m.
Work = 180 N x 240 m = 43200 J
In this case, the 1260 kg mass of the car is not needed.
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A ball is dropped from the top of a building. It initially moves at 4.0 m/s. After 0.5 seconds, it moves at 3.8 m/s.
Help me please I am struggling
A wave is a disturbance in a medium. The speed of a wave can be calculated by the formula: V = λf.
What is a Wave?A wave is a propagating dynamic disturbance of one or more quantities such as sound and light. Waves can be periodic, in which case those quantities oscillate repeatedly about an equilibrium value at some frequency.
V = λf
where, V is the velocity of wave,
λ is the wavelength,
f is the frequency.
1. Time period = 0.25 second
Frequency of a wave = 1/T
F = 1/ 0.25
F = 4 sec⁻¹
2. Speed of the wave with frequency 5.0 Hz and wavelength 10cm
v = λf
v = 10 × 5.0
v = 50 cm/s
3. Frequency of a wave with speed 20cm/s and wavelength 10cm
v = λf
f = λ/v
f = 10/20
f = 1/2 or 0.5 Hz
4. Wavelength of a wave when frequency is 5.0 Hz and speed 30 cm/s
v = λf
λ = v/f
λ = 30/5
λ = 6cm
5. Speed of a wave when the period is 3 sec and wavelength is 20m
Period = 1/f
3 = 1/f
f = 1/3
v = λf
v = 20 × 1/3
v = 6.66m/s
6. Wavelength of the wave when frequency is 75 Hz and speed is 300m/s
v = λf
λ = v/f
λ = 300/ 75
λ = 4m
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Can someone explain how to calculate the period,frequency and the wave speed of a transverse and longitudinal wave?
Wave speed - the distance the wave travels in a given amount of time
Frequency - number of events per unit of time
Period - time it takes to complete one oscillation
For Transverse Waves:
The formula for frequency is: f (frequency) = 1 / T ; where T is the time period.Similarly, the formula for time is: T (period) = 1 / fIn order to calculate the wave speed we use the formula: v = λ f where v is the speed of the wave in meters per second, λ is the wavelength in meters and f is the frequency of the wave in Hertz.For longitudinal Waves:
The speed of longitudinal wave is given by v=√Eρ where ρ is the density of the medium.Wave frequency can be measured by counting the number of compressions that pass the point in 1 second other time period. The period of a longitudinal wave is the time taken by the wave to move one wavelength. T = 1 / fa car traveling with an initial velocity of 20 m/s accelerates at a constant rate of 3.2 m/s2 for 6 seconds. what distance does the car travel during this process?
The vehicle accelerates steadily around 3 m/s2 for 15 sec while moving at 20 m/s. This indicates that when the car accelerates, it will cover a total length of 75 metres.
What is acceleration, exactly?An item that follows a circular course while maintaining a constant speed is still moving forward because the source of its motion is shifting.
Additionally, it is either the first variant of velocity in relation to time or the second derivative for position in relation to time.
What time is it?The time frame that can be measured or quantified.
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What iconic sitcom did actress cindy williams star in?
Actress Cindy williams stars in Shirley Feeney on the television sitcom Laverne & Shirley.
Cynthia Jane Williams (August 22, 1947 - January 25, 2023) was an American entertainer and maker, referred to for her job as Shirley Feeney on the TV sitcoms Cheerful Days (1975-1979), and Laverne and Shirley (1976-1982). She likewise showed up in American Spray painting (1973) and The Discussion (1974).
After school, Williams started her expert vocation via landing public ads, which included Encourage Award shades and TWA. Her most memorable jobs in TV, among others, were on Room 222 Babysitter and the Teacher, and Love, American Style.
Williams went with an entertainer companion from Los Angeles City School who required a scene accomplice for the tryout and was likewise acknowledged at The Entertainers Studio West, yet seldom went to because of acting commitments. Williams got significant film jobs right off the bat in her vocation: George Cukor's Movements with My Auntie (1972); as Laurie Henderson, Ron Howard's personality's secondary school darling in George Lucas' American Spray painting (1973) for which she procured a BAFTA designation as Best Supporting Actress; and Francis Portage Coppola's The Discussion (1974). She tried out alongside large number of others, for Lucas' Star Battles for the job of Princess Leia, yet Leia was eventually played via Carrie Fisher since Lucas wished to project questions, as in American Graffiti.
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why was your surface pressure higher or lower than the slp of your location? if your location is falcon field, then remember that the surface pressure was measured at 245 meters above sea level.
The surface pressure is higher or lower than the SLP (Sea Level Pressure) of your location depending on the altitude at which it was measured. At Falcon Field, the surface pressure was measured at 245 meters above sea level.
This means that the pressure is lower than the SLP because the higher the altitude, the lower the atmospheric pressure. The atmospheric pressure decreases with an increase in altitude due to the decrease in the air density at higher elevations.
Surface pressure, also known as atmospheric pressure, is the pressure that the air exerts on the surface of the Earth.
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c) A thin plano-convex lens is made of glass of refractive index 1.5 when an object is set
up 10 cm from the lens, a virtual image ten times its size is formed. What is: i) focal
length of lens? ii) the radius of curvature of the lens surface? (Ans: f=11.1 cm, R= 55.6
cm)
Answer:
i) The focal length of the lens is 11.1 cm. ii) The radius of curvature of the lens surface is 55.6 cm.
Explanation:
Given: refractive index of glass = 1.5, object distance u = -10 cm, image distance v = 100 cm (since the image is virtual and ten times the size of the object), and the thickness of the lens t is small.
i) To find the focal length f, we can use the lens formula:
1/f = 1/v - 1/u
Substituting the given values, we get:
1/f = 1/100 - 1/-101/f = 0.01 + 0.11/f = 0.11f = 1/0.11f = 9.09 cm
However, this is the focal length of the lens surface. Since the lens is thin, we can assume that the thickness is negligible compared to the focal length.
Therefore, the focal length of the lens is approximately equal to the focal length of the lens surface, which is 9.09 cm.
The focal length of the thin plano-convex lens is -11.1 cm and the radius of curvature of the lens surface is 55.6 cm. These values are obtained by applying the lens-maker formula and considering the given conditions.
Explanation:In this question, a thin plano-convex lens made of glass with a refractive index of 1.5 is described. An object is placed 10 cm from this lens and a virtual image ten times the size of the object is formed. We are required to find the focal length of the lens and the radius of curvature of the lens surface.
Using the lens-maker formula, 1/f = (n-1)(1/R1 - 1/R2 ), and considering the object distance (u) as -10 cm (the negative sign is due to the convention for virtual images), and the image distance (v) as -100 cm (ten times the object size), we find that the focal length (f) of the lens is -11.1 cm.
Next, applying the lens-maker formula again, but this time for the radius of curvature (R) of the lens surface. Since one surface of the lens is plane (R1 = ∞), the radius of curvature is that of the convex side (R2), we obtain R = 55.6 cm.
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the electric potential (voltage) at a distance of 2.7m away from a charge, q,is measured to be precisely -3.5x103v. calculate the value of q incoulombs.
Charge q at a distance of 2.7 m away from the point charge is approximately [tex]-9.9 * 10^(-7) C[/tex]. We calculated this using Coulomb's law.
The electric potential (voltage) at a point a distance r away from a point charge q is given by the Coulomb's law:
[tex]V = k * q / r[/tex],
where k : Coulomb's constant ([tex]9 * 10^9 N*m^{2} /C^{2}[/tex]). In this case, we know that the voltage V is [tex]-3.5 * 10^3 V[/tex] and the distance r is 2.7 m. Therefore, we can write:
-[tex]3.5 * 10^3 V = (9 * 10^9 N*m^{2} /C^{2} ) * q / 2.7 m[/tex]
Solving for q:
q = [tex](-3.5 * 10^3 V) * (2.7 m) / (9 * 10^9 N*m^{2} /C^{2} ) = -9.9 * 10^(-7) C[/tex]
The negative sign indicates that the charge is negative, which means that it has an excess of electrons. This result shows that electric potential is directly proportional to the magnitude of the charge and inversely proportional to the distance from the charge.
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through a piece of copper wire 20 cm long and with a cross-sectional area of \u200b\u200b0.6 mm ^ 2 a charge of 4 cells is passed in 0.1 s. determine the voltage at the ends of the wire
The voltage across the wire is 1332 V.
What is voltage ?Voltage is a measure of electrical potential difference between two points in a circuit. It is a measure of the amount of electrical energy available to do work. Voltage is measured in volts (V). The voltage between two points is the difference in electrical potential between those two points. Voltage is the force pushing electrons through a circuit and is responsible for the current that flows in a circuit. The higher the voltage, the greater the current. Voltage is created when charge is stored in a capacitor or a battery.
The voltage across the wire is determined by Ohm's law, In this case, the resistance of the wire is given by R = L/A, where L is the length of the wire (20 cm) and A is the cross-sectional area of the wire (0.6 mm^2). Therefore, the resistance of the wire is 33.3 Ω.
The current is given by I = Q/t, where Q is the charge (4 cells) and t is the time (0.1 s). Therefore, the current is 40 A.
Using Ohm's law, we can calculate the voltage across the wire: V = IR = (40 A)(33.3 Ω) = 1332 V.
Therefore, the voltage across the wire is 1332 V.
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a baseball is released with an initial velocity of 29.4 m/s at an angle of 30.0 degrees above the horizontal. what is the maximum height that the ball reaches during its trajectory?
The ball's maximum height during its trajectory is 22.05 meters.
Which launch angle causes the ball to travel the furthest horizontally above level ground?Maximum range (dx) is obtained at an angle of 45°. The most horizontal distance is covered at an angle of 45 degrees or nearly there. The greatest possible height will be attained and the longest duration spent in the air when the angle is 90 degrees or higher.
What is the maximum height formula?The formula for determining the greatest height, ymax, is: vy 2 = vy(0)2 + 2 ay (y - y(0)). To get ymax = vy(0)2/ 2g, substitute into y(t) = vy(0) t - 12 g t2. The beginning velocity in the y-direction and the maximum height are used to calculate the maximum height.
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a 5.0-nc charge is at (0, 0) and a-2.0-nc charge is at (3.0 m, 0). if the potential is taken to be zero at infinity, what is the electric potential energy of a 1.0-c charge at point (0, 4.0 m)?
The electrical capability strength of a 1.zero-C price at factor (zero, 4.zero m) is 7.sixty five x 10^6 J.
How to calculate the electric potential energy?To locate the electrical capability strength of a 1.zero-C price at factor (zero, 4.zero m), we will use the formulation: U = k * q1 * q2 / r
First, we want to locate the electrical capability at factor (zero, 4.zero m) because of the 2 expenses. The electric powered capability at a factor because of a factor price is given by: V = k * q / r
The electric powered capability at factor (zero, 4.zero m) because of the 5.zero-nC price is: V1 = k * q1 / r1
=[tex](nine x 10^nine Nm^2/C^2) * (5.zero x 10^-nine C) / (4.zero m)[/tex]
= 1.a hundred twenty five x 10^7 V
The distance among the 5.zero-nC price and the factor (zero, 4.zero m) is: r1 = [tex]\sqrt{(zero^2 + 4.zero^2) = 4.zero m}[/tex]
The electric powered capability at factor (zero, 4.zero m) because of the -2.zero-nC price is: V2 = k * q2 / r2
= [tex](9 x 10^9 Nm^2/C^2) * (-2.zero x 10^-9 C) / (5.zero m)[/tex]
= -3.6 x 10^6 V
The distance among the -2.zero-nC price and the factor (zero, 4.zero m) is: r2 = sqrt((3.zero m - zero)^2 + 4.zero^2) = 5.zero m
The overall electric powered capability at factor (zero, 4.zero m) is:
V = V1 + V2
= 1.a hundred twenty five x 10^7 V - 3.6 x 10^6 V
= 7.sixty five x 10^6 V
Now we will use the formulation for electric powered capability strength to locate the strength of a 1.zero-C price at factor (zero, 4.zero m) because of the 2 expenses: U = q * V
= (1.zero C) * (7.sixty five x 10^6 V)
= 7.sixty five x 10^6 J
Therefore, the electrical capability strength of a 1.zero-C price at factor (zero, 4.zero m) is 7.sixty five x 10^6 J.
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what happens to the average kinetic energy when the average velocity of the molecules is increased by a factor of 2.
The average kinetic energy is increased by 4 times when the average velocity of the molecules is increased by a factor of 2.
It is given that the average velocity that is average velocity is increased by a factor of 2, so it is increased by 2 x times.
Another formula to calculate kinetic energy,
[tex]\dfrac{1}{2} \times m \times v^2[/tex]
Kinetic energy will also increase by, 4 times as it is proportional to the square of velocity.
Average kinetic energy is a function of gas molecule speed, increasing temperature causes the gas molecules to move more quickly, which raises the average kinetic energy of the gas molecule.
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Gas particles do not respond to heat the same way people do. Do you agree with this statement? Why? Provide an example in your explanation.
Answer:
Yes, I agree with the statement that gas particles do not respond to heat the same way people do. The reason for this is that gas particles do not have the same sensory mechanisms that people have to perceive heat.
When a person is exposed to heat, their sensory nerves respond by sending signals to the brain, which then triggers a response such as sweating, increased heart rate, or a feeling of discomfort. However, gas particles do not have nerves or brains, so they cannot respond to heat in the same way.
Instead, gas particles respond to heat by increasing their kinetic energy and moving faster. This causes the gas to expand and occupy more space. For example, if a gas is heated in a container with a fixed volume, the pressure inside the container will increase as the gas particles collide more frequently with the container walls.
Additionally, unlike people, gas particles do not have a specific temperature range in which they are comfortable or safe. They will continue to gain kinetic energy and expand as long as they are exposed to heat, without any limit to their response.
In summary, gas particles and people respond to heat in fundamentally different ways due to differences in their physical and biological properties.
the radius of the sun is 696,000km. if its period is 587.28 hours, what is its tangential velocity at the equator? (
The tangential velocity of the sun at the equator is, 2370.25π km/hr.
Tangential velocity is the linear component of the speed of any object which is moving along a circular path. A point on the outside edge of a turntable moves a greater distance in one complete rotation than a point near to the center.
The equation for velocity is v = ΔxΔt. Using the circumference of the circle as the distance and the time as the period, we can rewrite the equation for velocity: v = 2πr/T.
Plug in the given values and solve for the velocity.
v = 2π (696,000km)/587.28 hr
v = π × 1392000km/587.28 hr
v = 2370.25π km/hr
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a cylindrical conduction initially has a resistance of 1 ohm. if the length is quadrupled and its radius cut in half, what is its resistance
The resistance of a cylindrical conductor is determined by the equation R = (ρL)/A, where ρ is the resistivity of the material, L is the length, and A is the area of the cylindrical conductor.
When the length is quadrupled and the radius is cut in half, the resistance of the cylindrical conductor is 4 ohms.
The resistance of a cylindrical conductor can also be affected by the resistivity of the material it is made of. The resistivity of a material is a measure of how easily electricity can flow through it, and is determined by its chemical structure.
Generally, materials with higher resistivity will have a higher resistance, so the resistance of a cylindrical conductor may be increased if it is made from a material with a higher resistivity.
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Calculate the time it takes a 200 W appliance to transfer 40,000 J of energ
Answer:
the answer is 200seconds(s)
calculate the magnitude (in m/s2) of the centripetal acceleration at the tip of a 3.20 m long helicopter blade that rotates at 205 rev/min. m/s2
The magnitude of the centripetal acceleration at the tip of a 3.20 m long helicopter blade that rotates at 205 rev/min is 1,474.7 m/s2
The acceleration that a body experiences when moving around in a circle is known as centripetal acceleration. Since velocity is a vector quantity (that is, it possesses both a magnitude, which is the speed, and a direction), when a body travels on a circular path, its direction is constantly changing, and as a result, its velocity is changing as well, which results in an acceleration. The acceleration is exerted in a radial direction that is directed toward the center of the circle. To calculate the centripetal acceleration, we can use this following formula:
Ac = v² ÷ r
V = ωr
Ac = (ωr)² ÷ r
Ac = ω²r
ω = 205 rev/min = 21.47 rad/s
r = 3.20 m
Next, we can substitute the required values to find the centripetal acceleration:
Ac = (21.47 rad/s)² × 3.20 m
Ac = 1,474.7 m/s²
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5) what is the gravitational potential energy (relative to infinite) of a 5.00x103 kg satellite that is in orbit with a radius of 9.90x106 m around the earth?
P.E -1.57 × 10¹¹J is the gravitational potential energy.
Give the definition of gravitational potential energy
The energy that an object acquires as a result of its height or vertical position is known as gravitational potential energy. When we elevate items against Earth's gravity, the energy is held back by the gravitational force.
The energy that an item has or acquires when its location changes as a result of being in a gravitational field is known as gravitational potential energy. Gravitational potential energy can be defined as an energy that has a connection to gravitational force or gravity.
P.E = -GMm/r
m = 5000kg
r = 9.9 × 10⁶ m
G = 6.67 × 10⁻¹¹
M = 5.18 × 10²⁴
P.E = -(6.67 × 10⁻¹¹ *5.18 × 10²⁴ × 5000) / ( 9.9 × 10⁶ + 6.38 × 10⁶)
P.E = -1.57 × 10¹¹J
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a drone is flying horizontally when it runs out of power and begins to free fall from 80 m . if it lands 80 m away (in the x -direction) from where it began to fall, what was its horizontal velocity while it was falling (assuming no drag)?
The horizontal velocity of the drone while it was falling was approximately 19.8 m/s.
Assuming no air resistance or drag, the horizontal velocity of the drone remains constant during the fall. The time it takes for the drone to fall 80 m vertically can be calculated using the formula:
[tex]h = (1/2) * g * t^2[/tex]
where h is the height, g is the acceleration due to gravity, and t is the time. Solving for t, we get:
[tex]t = sqrt(2h/g) = sqrt(2*80/9.8) = 4.04 seconds (approximately)[/tex]
During this time, the horizontal distance traveled by the drone is 80 m.
Therefore, the horizontal velocity of the drone while falling can be calculated as follows:
[tex]v = d/t = 80/4.04 = 19.8 m/s (approximately)[/tex]
So, the horizontal velocity of the drone while it was falling was approximately 19.8 m/s.
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a 12kg koala is swinging in a circular path perpendicular to the ground. the koala moves in a clockwise direction with a constant speed of 2m/s . what is the velocity of the koala at the bottom of the circle?
The velocity of the koala at the bottom of the circle is 2.23 m/s.
The velocity of the koala at the bottom of the circle can be determined by considering the concepts of centripetal force and centripetal acceleration. Centripetal force is the force that acts towards the center of the circle and is responsible for keeping the object moving in a circular path. Centripetal acceleration is defined as the acceleration of an object moving in a circular path, and it can be calculated as follows: a = [tex]v^{2}[/tex] / r, where v is the velocity of the object and r is the radius of the circle.
v = [tex]\sqrt{g\times r}[/tex], where v is the velocity, g is the acceleration due to gravity (9.8 m/[tex]s^{2}[/tex]), and r is the radius of the circular path.
Since the speed of the koala is constant at 2 m/s, we can use this value to find the radius of the circular path:
r = [tex]v^{2}[/tex] / g
r = [tex](2 m/s)^2[/tex] / (9.8 m/[tex]s^{2}[/tex])
r = 0.408 m
Now that we have the radius, we can use the equation for centripetal velocity to find the velocity of the koala at the bottom of the circle:
v = [tex]\sqrt{g\times r}[/tex]
v = √(9.8 m/[tex]s^{2}[/tex] × 0.408 m)
v = 2.23 m/s
Since the speed of the koala is constant, its velocity at the bottom of the circle will be equal to its speed, which is 2.23 m/s.. Hence, the velocity of the koala at the bottom of the circle is 2.23 m/s.
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abs built into my car is intended to do what? prevent the brakes from causing the wheels to lock up provide a warning if the brake system is failing make the brake pads
Cadence braking is employed in automobiles without ABS to stop them on slick surfaces. The ABS is working to keep the car from locking up and keeping you from skidding when you feel feedback.
Remove your foot from the brake pedal to allow your wheels to maybe gain enough traction to momentarily unlock. Afterward, if necessary, apply brake pressure once more.
Without ABS, sudden, harsh braking could result in wheel lockup and loss of steering control if the driver didn't pump the brakes properly or kept the force of the brake pedal under control. When driving on an icy or wet road, it entails rhythmically applying and releasing the brakes gently to avoid the wheels from locking up while still allowing you to manoeuvre.
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Correct Question:
Why Do My Brakes Lock Up When Trying to Stop?
does inserting a dielectric into a capacitor that is connected to a battery increase or decrease the energy stored in the capacitor? explain your answer.
By adding a dielectric, the capacitance rises and the energy in the capacitor decreases.
Do dielectrics cause capacitance to rise or fall?The strength of the electric field is reduced as a result of the presence of dielectric. If the overall charge on the capacitor plates is kept constant, the potential difference across the plates will decrease. The dielectric increases the capacitor's capacitance as a result. When a capacitor is given a dielectric, the electric field is diminished, the voltage is lowered, and the capacitance is increased.
Does a dielectric increase the energy that is stored?You must perform negative work in order to decrease the potential energy stored in the capacitor since adding a dielectric will increase capacitance C and reduce that potential energy.
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how many different wavelengths of emitted light are emitted by those atoms as the electrons fall into
6 possible falls producing 6 wavelengths so the Correct option is C)
no. of radiation = [tex]^{4} C_2=\frac{4\times3}{2}[/tex] =6
a wave's wavelength is the separation between two adjacent waves' corresponding points. Two points or particles that are in the same phase—i.e., points that have completed identical fractions of their periodic motion—are referred to as "corresponding points." Wavelength is typically measured from crest to crest or from trough to trough in transverse waves (waves with points vibrating at right angles to the direction of their advance); from compression to compression or from rarefaction to rarefaction in longitudinal waves (waves with points vibrating in the same direction as their advance).
6 possible falls producing 6 wavelengths
4 → 3, 4→2 , 4→1
3→2,3→1
2→1
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(i) what is the repulsive electrical force between two protons 3.5 * 10-15 m apart from each other in an atomic nucleus?
The repulsive electrical force between protons is: [tex]F = 9.279 \times 10^{-8} \,{\rm{N}}[/tex]
The repulsive electrical force between two protons 3.5 * 10-15 m apart from each other in an atomic nucleus is calculated by Coulomb's law, which states that the force between two charged particles is directly proportional to the product of the charges and inversely proportional to the square of the distance between them.
So, the repulsive force between two protons 3.5 * 10-15 m apart is given by:
[tex]F = (1.602 \times 10^{-19})^2 / (3.5 \times 10^{-15})^2[/tex]
[tex]F = 9.279 \times 10^{-8} \,{\rm{N}}[/tex]
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