The magnitude of the velocity the blinking tree has when it is 2 meters from the ground is 21.8 m/s.
Conservation of energyTo calculate the velocity of the blinking tree when it is 2 meters from the ground, we can use the principles of conservation of energy.
First, let's determine the potential energy of the tree when it is 50 meters off the ground. The potential energy (PE) can be calculated using the formula:
PE = mgh
Where:
m = mass of the tree (2.3 kg)
g = acceleration due to gravity (9.8 m/s^2)
h = height (50 m)
PE = 2.3 x 9.8 x 50
PE = 1131 J
Next, we can calculate the potential energy of the tree when it is 2 meters from the ground:
PE = mgh
Thus:
PE = 2.3 x 9.8 x 2
PE = 45.04 J
According to the conservation of energy principle:
PE(initial) = PE(final) + KE(final)
1131 J = 45.04 J + KE(final)
Now, let's solve for the kinetic energy (KE) at the final position:
KE(final) = PE(initial) - PE(final)
KE(final) = 1131 J - 45.04 J
KE(final) = 1085.96 J
KE = (1/2)mv^2
1085.96 J = (1/2) x 2.3 kg x v^2
Thus
v^2 = (2 x 1085.96 J) / 2.3 kg
v^2 = 474.76 m^2/s^2
v ≈ 21.8 m/s
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A 1.50-m cylindrical rod of diameter 0.500 cm is connected to a power supply that maintains a constant potential difference of 15.0 V across its ends, while an ammeter measures the current through it. We observe that at room temperature (20.0°C) the ammeter reads 18.5 A, while at 92.0°C it reads 17.2 A. We can ignore any thermal expansion of the rod. Find
a. the resistivity at 20.0°C and
b. the temperature coefficient of resistivity at 20.0°C for the material of the rod.
Answer:
a) 1.06*10^-5
b) 0.00105 °C^-1
Explanation:
Given that
Length of the cylinder, L = 1.5 m
Radius of the cylinder, r = 0.25 cm
Voltage across the rod, V = 15 V
I• at Temperature T• = 20° C is 18.5 A
I at Temperature T = 90° C is 17.2 A
See attachment for calculations
What does the diagram represent?
A)
A neutral oxygen atom
B)
An oxygen atom with 7 protons
An oxygen ion with a +2 charge
D)
An oxygen ion with a -2 charge
Answer:
D
Explanation:
The diagram represents an oxygen ion with a -2 charge.
The Lewis dot structure of a chemical specie represents the electrons present on the outermost or valence shells of atoms in the specie as dots. Lewis structures are used for ions, free atoms and molecules.
Oxygen is a member of group 16 hence it has six electrons in its valence shell. The specie shown in the image has eight valence electrons implying that the oxygen atom gained two valence electrons when the specie was formed.
When oxygen gains two electrons it is said to have acquired a charge of -2. Hence, the diagram represents an oxygen ion with a -2 charge.
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A copper transmission cable 50.0 km long and 10.0 cm in diameter carries a current of 105 A. What is the potential drop across the cable? Let ρcopper = 1.72 × 10—8 Ω • m.
A) 5.75 V
B) 5.48 V
C) 11.5 V
D) 16.9 V
5.48 V is the potential drop across the cable for a copper transmission cable of 50.0 km long and 10.0 cm in diameter carries a current of 105 A
Ohm's Law states that the potential drop is determined by the equation: V = IR, where I is the current and R is the wire resistance.
R=PL/A
Under the assumption that all physical parameters and temperatures remain constant, Ohm's law asserts that the voltage across a conductor is directly proportional to the current flowing through it.
Only when the given temperature and the other physical variables remain constant does Ohm's law apply. Increasing the current causes the temperature to rise in some components. The filament of a light bulb serves as an illustration of this, where the temperature increases as the current increases. Ohm's law cannot be applied in this situation. The filament of the lightbulb defies Ohm's Law.
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What is urea? plz help me
Answer:
It is a colorless crystalline compound which is the main nitrogenous breakdown product of protein metabolism in mammals and is excreted in urine.
Answer:
Urea is a compound of nitrogen that is the chief solid substance dissolved in the urine of a mammal and is formed by the breaking down of protein.
(Hope this helps! Btw, I answered first. Brainliest please! :D)
How does solar weather affect Earth’s magnetosphere? Select the two correct answers.
It causes geomagnetic storms.
It generates auroras.
It develops solar wind.
It forms radiation belts.
Two coils , held in fixed positions , have a mutual inductance of 100 mH . What is the peak emf in one coil when the current in the other coil is i ( t ) = 10 sin ( 1000 t ) , where is in amperes and t is in seconds ?
The peak emf in one coil at the given current in the other coil is 1,000 A.
What is mutual inductance?Mutual Inductance between the two coils is defined as the property of the coil due to which it opposes the change of current in the other coil.
The peak emf in one coil when the current in the other coil is i ( t ) = 10 sin ( 1000 t ) depends on the mutual inductance and the peak current.
The peak emf in one coil is calculated as follows;
emf₀ = M di/dt
where;
M is the mutual inductancedi/dt is the rate of change of currentdi/dt = (10 x 1000) cos (1000 t)
di/dt = 10,000 cos(1000 t)
The peak rate of change of current from the derivative of di/dt = 10,000 A/s
emf₀ = (100 x 10⁻³) x (10,000 A/s)
emf₀ = 1,000 V
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At what speed should a clock be moved so that it appears to lose 1 minute in each hour
Answer:
v = 9.75×10^6 m/s
Explanation:
Using time dilation formula-
T' = T / √[1-(v/c)^2]
Here,
T = 60 min
T' = 61 min
Putting this in eqn.
61 = 60 / √[1-(v/c)^2]
(v/c)^2 = 1 - (60/61)^2
v/c = 0.0325
v = 9.75×10^6 m/s
Therefore, clock should run at speed of 9.75×10^6 m/s.
Table 1 contains data about two completely ionised samples of pure boron.
Each sample contains only isotopes X and Y.
Table 1
Sample | Number of ions Mass of Charge on
number in sample = ple / kg each ion/ C
fot | 3.50 x 1016 6.31 x 107! +1.60 x 10719
3.50 x 10” 6.20 x 10°? +1.60 x 10°?
Deduce which sample, 1 or 2, contains a greater percentage of isotope Y.
[3 marks]
Answer:
I think it would most likely be 2... but not so sureee
Katie rolls a toy car off the end of a table. Which path will the car follow when it leaves the table? A. B. C. D.
Answer:
parabolic path
Explanation:
As the cart reaches the end of the table with a horizontally directed velocity (only horizontal component), the cart will follow a parabolic path given by the combined action of:
(1) kinematic equation for motion under constant velocity in the horizontal direction (linear expression in terms of time), and
(2) kinematic equation for motion under constant acceleration (that of gravity) in the vertical direction (quadratic expression in terms of time)
Answer:
C.
Explanation:
Due to gravity and air resistance— its gonna make a curved path
Compare the patterns of iron filings to the spiral arms in Interacting galaxies.
The primary locations for the birth of new stars are in galaxies' spiral arms. The proportion of the galaxy that can participate in star formation increases as more gas and dust become available.
What distinguishes the numerous varieties of spiral galaxies?We refer to some spiral galaxies as "barred spirals" because the centre bulge seems extended, like a bar. The spiral arms of the galaxy seem to emerge from the ends of the bar in barred spirals. Elliptical galaxies are round or oval in shape, as their name implies, and have a rather uniform distribution of stars.
The four spiral arms are what?The Norma and Cygnus arm, Sagittarius, Scutum-Crux, and Perseus arms are the four principal spiral arms of the Milky Way.
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460miles per hour with the wind nd 420 per hour gainst the wind
The speed of the wind is 20 miles per hour.
To solve this problem, we can use the formula:
Speed = Distance/Time
Let's assume that the speed of the wind is x miles per hour.
With the wind, the plane travels at a speed of 460 miles per hour. This means that its speed relative to the ground is the sum of its airspeed and the speed of the wind:
460 = Airspeed + x
Against the wind, the plane travels at a speed of 420 miles per hour. This means that its speed relative to the ground is the difference between its airspeed and the speed of the wind:
420 = Airspeed - x
We can solve this system of equations to find the airspeed of the plane:
460 = Airspeed + x
420 = Airspeed - x
Adding the two equations gives:
880 = 2Airspeed
Dividing both sides by 2 gives:
Airspeed = 440 miles per hour
Now that we know the airspeed of the plane, we can find the speed of the wind by substituting this value into one of the equations we obtained earlier:
460 = Airspeed + x
460 = 440 + x
x = 20
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Water flows steadily from an open tank as shown in the figure. (Figure 1)The elevation of point 1 is 10.0 m , and the elevation of points 2 and 3 is 2.00 m . The cross-sectional area at point 2 is 4.80×10−2 m2 ; at point 3, where the water is discharged, it is 1.60×10−2 m2 . The cross-sectional area of the tank is very large compared with the cross-sectional area of the pipe. What is the gauge pressure p_gauge at point 2?
The gauge pressure at point 2 is 98100 Pa or 9.81 x\(10^4\) Pa, which is equivalent to 6.97 x\(10^4\) Pa when rounded to two significant figures.
Step 1: Identification of the given data:
- Elevation at point 1 (h1) = 10.0 m
- Elevation at points 2 and 3 (h2 = h3) = 2.00 m
- Cross-sectional area at point 2 (A2) = 0.0480 \(m^2\)
- Cross-sectional area at point 3 (A3) = 0.0160 \(m^2\)
Step 2: Determination of the discharge rate:
As mentioned earlier, the discharge rate (Q) is given by Q = A2 * v2, and since the velocity at point 2 (v2) is negligible, the discharge rate will be 0.
Therefore, the discharge rate is 0 cubic meters per second.
Step 3: Determination of the gauge pressure at point 2:
To find the gauge pressure at point 2, we'll use Bernoulli's equation:
P1 + (1/2)ρ\(v1^2\) + ρgh1 = P2 + (1/2)ρ\(v2^2\) + ρgh2
Since the velocity at point 2 (v2) is negligible, the term (1/2)ρ\(v2^2\) can be ignored.
The equation simplifies to:
Patm + ρgh1 = P2 + ρgh2
We want to find the gauge pressure at point 2, so we'll subtract the atmospheric pressure (Patm) from P2:
\(P_g_a_u_g_e\) = P2 - Patm
Now let's substitute the given values into the equation:
\(P_g_a_u_g_e\) = (Patm + ρgh1) - Patm
\(P_g_a_u_g_e\) = ρgh1
Plugging in the values:
\(P_g_a_u_g_e\) = (1000 kg/m^3) * (9.81 \(m/s^2\)) * (10.0 m)
\(P_g_a_u_g_e\) = 98100 Pa
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Venus is the hottest planet in the solar system because it _____.
has a thick atmosphere which traps heat
is the closest planet to the sun
has a core of hot, melted rock
does not have an atmosphere at all
Answer:
has a thick atmosphere which traps heat:))
moving water can be used as an energy source. select all the characteristics of this energy source that apply.
The above-listed characteristics apply to moving water as an energy source. Thus, moving water can be used as an energy source.
The following are the characteristics of moving water as an energy source:
It is a renewable energy source. It is a clean energy source. It is available in many different forms. It is the least expensive energy source to generate.Water is an excellent resource for producing electricity since it is clean, renewable, and is available in many different forms. When water moves, it has the potential to generate energy, which can be harnessed in several ways to produce electricity. As a result, moving water is an excellent source of renewable energy, as it is available in many different forms and can be used in a variety of ways.The above-listed characteristics apply to moving water as an energy source. Thus, moving water can be used as an energy source.
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15- A racehorse coming out of the gate accelerates from rest to a velocity f 15.0 m/s due west in 1.80 s. What is its average acceleration?
Answer: (15 - 0)/1.8 = 8. 33m/s^2
Explanation:
The acceleration of the racehorse is 8.33 m/s²
The given parameters;
initial velocity of the racehorse, u = 0
final velocity of the racehorse, v = 15 m/s
time of motion of the horse, t = 1.8 s
The acceleration of the racehorse is calculated from change in velocity per change in time of motion as shown below;
\(a = \frac{\Delta v}{\Delta t} = \frac{v-u}{t} \\\\a = \frac{15 - 0}{1.8} \\\\a = 8.33 \ m/s^2\)
Thus, the acceleration of the racehorse is 8.33 m/s²
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What is the source of the electrical energy in the brain
Answer:
What's the source of energy that powers the human brain?
Mainly sugar, glucose. Glucose is broken down, and in the process it is used to create a gradient of hydrogen ions (Oxygen is also needed, which is why we breath).
brainiest please
2. A crane can lift a 500 kg mass to height of 30 m in 2 minutes. The power at which the crane is operating is
A. 125 Watts
B. 1225 Watts
C.) 7500 Watts
D. 73500 W
The power at which the crane operates, if it can lift a mass of 500 kg is 1225 Watts.
What is power?Power is the rate at which work is done.
To calculate the power the crane operates with, we use the formula below
Formula:
P = mgh/t............................... EquationWhere:
P = Powerm = Massg = Acceleration due to gravityh = Heightt = TimeFrom the question,
Given:
m = 500 kgh = 30 mt = 2 minutes = 2×60 = 120 sg = 9.8 m/s²Substitute these values into equation 1
P = (500×30×9.8)/120P = 1225 WHence, the right option is B. 1225 Watts.
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A football player kicks a football, from ground level, with an initial velocity of 27.0 m/s at an angle 30° above the horizontal.
a. What is the maximum height the ball attained?
b. How long did it take the ball to return to the launching height?
C. How far away did it land?
Answer:
See answers below
Explanation:
a.
(vf)² = (vi)² + 2gy
0 = (27sin30°)² + 2(-9.8)y
y = 36.3 m
b.
vf = vi + gt
0 = (27sin30°) + (-9.8)t
t = 2.72 s
2.72 x 2 = 5.44 s
c.
x = (vi)t + (1/2)at²
x = (27cos30°)(5.44) + 0
x = 22.66 m
According to the question,
Horizontal angle = 30°Initial velocity, V = 27.0 m/sthen,
\(V_x = 23 \ m/s\)\(V_{iy} = 13.5 \ m/s\)(a)
The maximum height will be:
→ \(V_f^2 = V_i^2+2ad\)
\(0 = (13.5)^2+2(-9.8).d\)
\(0 = 182+(-19.6)d\)
\(d = 9.3 \ m\)
(b)
The total time taken will be:
→ \(V_f = -V_i\)
or,
→ \(a = \frac{V_f-V_i}{t}\)
\(-9.8 = \frac{-13.5-13.5}{t}\)
\(-9.8 \ t = - 27\)
\(t = \frac{-27}{-9.8}\)
\(= 2.75 \ sec\)
(c)
The total distance covered will be:
→ \(V_x = \frac{d_x}{t}\)
\(23=\frac{d_x}{2.75}\)
\(d_x = 2.75\times 23\)
\(= 63 \ m\)
Thus the approach above is appropriate.
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I need the answer asap everyone have a good day bye
Im pretty sure its A cuz is closer to the earth.
What are the degrees of freedom for a Pearson's correlation coefficient if thecovariance of x and y = 4, and the sample size = 250?
Pearson's correlation coefficient (r):
The Pearson's correlation coefficient is a measure of how strong/weak is the association between two variables.
It also tells us the direction of the relationship (positive/negative)
The degrees of freedom for a Pearson's correlation coefficient can be found as
\(df=n-2\)Where n is the sample size.
For the given case, the sample size is 250.
So, the degree of freedom is
\(\begin{gathered} df=n-2 \\ df=250-2 \\ df=248 \end{gathered}\)Therefore, the degrees of freedom for the Pearson's correlation coefficient is 248
which of the following charactristics is not exhibited by the shadow of an object
a) right side up
b) same color as object
c ) can be formed on a screen
d ) can be begger than the object.
Answer:
B
Explanation:
Shadows are not colored, instead they are dark gray. Although shadows mimic the shape of an object, they do not mimic the color.
Alice and Tom dive from an overhang into the lake below. Tom simply drops straight down from the edge, but Alice takes a running start and jumps with an initial horizontal velocity of 25 m/s. Neither person experiences any significant air resistance. Compare the time it takes each of them to reach the lake below.
a. Alice reaches the surface of the lake first
b. Tom reaches the surface of the lake first
c. Alice and Tom will reach the surface of the lake at the same time.
a 1 kg blob of putty moving at 10 m/s runs into another 1 kg stationary blob, and they stick together. the momentum of the blobs after the collision is
The momentum of the blobs after the collision of a 1 kg blob of putty moving at 10 m/s with another 1 kg stationary blob will be 5 m/s.
The term "completely inelastic collision" is used to describe every time two masses cling together after colliding. Any inelastic collision will result in the internal energy of the objects being transformed into kinetic energy. Because of this, even though the system's energy is conserved (no outside forces are at action), its internal energy is changing in an unknowable and unpredictable fashion. This implies that the concept of energy conservation in inelastic collisions is absolutely meaningless to us. However, the conserved quantity that we can monitor is momentum.
Initial momentum is expressed as p = m1v1 + m2v2,
where, I denotes vector quantities.
v2 = 0 (because the second blob is at rest).
As a result, p=m1v1, |p|=m1|v1|=1*10= 10 kg*m/s,
The total amount of momentum is conserved in a closed system. The end momentum is 10 kg*m/s and is therefore also directed in the same direction as the beginning momentum.
The combined mass is now M=m1+m2= 1+1 = 2 kg due to the fact that two blobs are now clumped together. As a result, p = mv= 10 =2v; from this, v= 10/2 = 5 m/s, headed in the same direction as the first blob's starting velocity.
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ra body of mass x is raised to a height of 2m above the ground what it's potential energy if the body is allowed to fall what is it's kinetic energy when half way down
Answer:
Explanation:
PE = mgh = 2xg
Half way down, half of the potential energy will have been converted.
KE = xg
What is the net force net
on an airplane window of area 1800 cm2
if the pressure inside the cabin is 0.95 atm
and the pressure outside is 0.76 atm
?
The net force on the airplane window of area 1800 cm² is 3469.47 Pa.m² .
Given:
Pressure inside the cabin: 0.95 atm
Pressure outside the cabin: 0.76 atm
Area of the airplane window: 1800 cm²
Now to find the net force on the airplane window, we can calculate the pressure difference between the inside and outside of the cabin and to calculate the pressure difference, we subtract the outside pressure from the inside pressure.
Pressure Difference = Pressure inside - Pressure outside
Pressure Difference = 0.95 atm - 0.76 atm
Pressure Difference = 0.19 atm
The area of the airplane window is given as 1800 cm². To simplify calculations in SI unit we convert the area to square meters:
Area in m² = (Area in cm²) / 10,000
Area in m² = 1800 cm² / 10,000
Area in m² = 0.18 m²
As we know,
Net Force = Pressure Difference * Area
Net Force = 0.19 atm * 0.18 m²
Net Force = 0.0342 atm·m²
To convert the net force to pascals (Pa), we use 1 atm = 101325 Pa. Multiplying the net force by 101325 Pa, we get
Net Force = 3469.47 Pa·m²
Therefore, the net force on the airplane window is approximately 3469.47 pascals times square meters (Pa.m²).
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https://brainly.com/question/14361879Scientific theories are deductive in nature.?
Answer:
deductive reasoning usually follows steps .
That is, how we predict what the observations should be if the theory were correct1 kg block slides down a frictionless inclined plane that makes an angle of 300 with respect to the ground. The total length of the plane is 2 m, but midway down it collides with a second block, weighing 0.5 kg. The two blocks stick together and travel as one unit the rest of the way down the ramp. What is the kinetic energy of the combined 1.5 kg block when it reaches the bottom of the plane
Answer:
the kinetic energy of the combined 1.5 kg block when it reaches the bottom of the plane is 10.62 J
Explanation:
Given that the data in the question;
angle of inclination with respect to the ground \(\theta\) = 30°
length of plane d = 2m
m₁ = 1 kg
m₂ = 0.5 kg
now, velocity of the first block at midpoint;
\(\frac{1}{2}\)mv² = mgsin\(\theta\)\(\frac{d}{2}\)
\(\frac{1}{2}\)v² = gsin\(\theta\)\(\frac{d}{2}\)
v² = gsin\(\theta\)d
v = √( gsin\(\theta\)d)
g is 9.8 m/s
so we substitute
v = √( 9.8 × sin30° × 2)
v = √( 19.6 )
v = 3.13 m/s
Now, velocity just after collision of the blocks will be;
(m₁ + m₂)v₂ = m₁v
v₂ = m₁v / (m₁ + m₂)
we substitute
v₂ = (1 × 3.13) / (1 + 0.5)
v₂ = 3.13 / 1.5
v₂ = 2.0866 m/s
now, final kinetic energy will be;
\(KE_f\) = (m₁ + m₂)gsin\(\theta\)\(\frac{d}{2}\) + Initial Kinetic energy
\(KE_f\) = (m₁ + m₂)gsin\(\theta\)\(\frac{d}{2}\) + \(\frac{1}{2}\)mv₂²
we substitute
\(KE_f\) = [(1 + 0.5)9.8 × sin30 × \(\frac{2}{2}\)] + [\(\frac{1}{2}\) × 1.5 × 2.0866 ]
\(KE_f\) = 7.35 + 3.2654
\(KE_f\) = 10.62 J
Therefore, the kinetic energy of the combined 1.5 kg block when it reaches the bottom of the plane is 10.62 J
What is the primary difference between the states of matter?
(Edge 2028-2020)
color of the substance
mass of the substance
number of atoms in the substance
amount of movement of atoms in the substance
CORRECT CHOICE IS D
Answer:
Solids have a definite shape and volume. Liquids have a definite volume.Gases have no definite volume.
Consider a system of two charges of magnitude 2 × 10-7 C and 4.5 × 10-7 C which is acted upon by a force of 0.1 N. What is the distance between the two charges?
To find the distance between two charges, we can use Coulomb's law, which states that the force between two charges is proportional to the product of their magnitudes and inversely proportional to the square of the distance between them.
The formula for Coulomb's law is:
F = (k * |q1| * |q2|) / r^2
where:
F is the force between the charges,
k is the electrostatic constant (k = 8.99 × 10^9 N m^2/C^2),
|q1| and |q2| are the magnitudes of the charges, and
r is the distance between the charges.
Given:
|q1| = 2 × 10^-7 C
|q2| = 4.5 × 10^-7 C
F = 0.1 N
k = 8.99 × 10^9 N m^2/C^2
We can rearrange the equation to solve for r:
r^2 = (k * |q1| * |q2|) / F
Plugging in the values:
r^2 = (8.99 × 10^9 N m^2/C^2 * 2 × 10^-7 C * 4.5 × 10^-7 C) / 0.1 N
r^2 = (8.99 × 2 × 4.5) * (10^9 * 10^-7 * 10^-7) / 0.1
r^2 = 80.91 * (10^9 * 10^-7 * 10^-7) / 0.1
r^2 = 80.91 * 10^(-7 + 9 - 1)
r^2 = 80.91 * 10^1
r^2 = 809.1
Taking the square root of both sides:
r = √809.1
r ≈ 28.46
Therefore, the distance between the two charges is approximately 28.46 units.
which of the following is not a mechanical form of energy?
a. Nuclear
b. Kinetic
c. Spring potential
d. Gravitational potential
Answer:
The answer is Spring Potential
Explanation:
Because all the others are a mechanical form of energy