Nisha stands at the edge of an aquarium 3.0 m deep. She
shines a laser at a height of 1.7 m that hits the water of the pool
8.1 m from the edge. How far from the edge of the pool will the light hit bottom?
It's denoting to a right angle traingle
Perpendicular=P=3+1.7=4.7mBase=B=8.1mHypotenuse we need
Apply Pythagorean theorem
H²=P²+B²H²=4.7²+8.1²H²=87.7H=9.4mExplanation:
The graph of y = √x is reflected in the y-axis, is horizontally stretched by a factor of 2, shifted 3 units up and 1 unit left. What is the equation of the transformed graph?
Original: y = √(x)
Reflected in the y-axis: y = √(-x)
Horizontally stretched by a factor of 2: y = √(-x/2)
Shifted 3 units up: y = 3 + √(-x/2)
And 1 unit left: y = 3 + √(-(x+1)/2)
What kind of life cycle do insects that undergo a complete metamorphosis have?
Group of answer choices
A. Pupal lifecycle
B. Hemimetabolous
C. Incomplete lifecycle
D. Holometabolous
Answer:
A
Explanation:
insects undergo Pupal life cycle
Skater 1 has a mass of 80.0 kg and a velocity of 10.0 m/s to the right. He
collides with Skater 2, who has a mass 50.0 kg and a velocity of 5.0 m/s to
the left. After they collide, Skater 2 has a velocity of 15.0 m/s to the right
What is the final velocity of Skater 1?
O A. 16.3 m/s to the right
O B. 15.0 m/s to the left
O C. 2.5 m/s to the left
D. 2.5 m/s to the right
SUBMIT
Alchemists searched for ways to change lead into gold. Which type of change
must occur for this conversion to happen?
Answer:
It's had to be a Nuclear change since by nuclear fusion we can convert lead to Gold.
Therefore Option B. Nuclear Change is Answer.
By : Modern Einstein
A parallel–plate capacitor has circular plates of 8.2 cm radius and 1.3mm separation. (i) Calculate the capacitance. (ii) What charge will appear on the plates if a potential difference of 120V is applied? (b) A 2.0μF spherical capacitor is composed of two metal spheres, one having a radius twice as large as the other. If the region between the spheres is a vacuum, determine the volume of this region.
Hello!
(i)
Recall the equation for the capacitance of a parallel-plate capacitor:
[tex]C = \frac{\epsilon_0 A}{d}[/tex]
C = Capacitance (F)
ε₀ = Permittivity of Free Space (8.85 × 10⁻¹² C²/Nm²)
A = Area of each plate (A = πr² = π(0.082²) = 0.0211 m²)
d = separation between plates (0.0013m)
Plug in the values to solve.
[tex]C = \frac{(8.85 \times 10^{-12})(0.0211)}{0.0013} = 1.4387 \times 10^{-10} F = \boxed{0.14387 nF}[/tex]
(ii)
Using the following equation:
[tex]C = \frac{Q}{V}[/tex]
Q = Charge on capacitor (C)
V = Potential difference of capacitor (V)
Rearrange to solve for charge and solve.
[tex]Q = CV\\\\Q = (1.4387\times 10^{-10}) (120) = 1.7265 \times 10^{-8} C = \boxed{17.265nC}[/tex]
**Remember that NEITHER charge OR voltage affects the capacitance; capacitance is STRICTLY determined by geometry.
(B)
We can begin by deriving the equation of the capacitance of a two-sphere spherical capacitor using the following:
[tex]C = \frac{Q}{|\Delta V|}[/tex]
We know that:
[tex]\Delta V = -\int E \cdot dr[/tex]
Let's say that the inner sphere's radius is 'r', and the outer sphere's radius is '2r'. These are our limits for the integral. The electric field of a spherical charge is given as:
[tex]E = \frac{kQ}{r^2}[/tex]
Now, we can integrate to find the potential difference between the two spheres.
[tex]\Delta V = -\int\limits^{2r}_r {\frac{kQ}{r^2}} \, dr\\\\\Delta V = \frac{kQ}{r}\left \| {{2r} \atop {r}} \right. \\\\\Delta V = \frac{kQ}{2r} - \frac{kQ}{r} = -\frac{kQ}{2r}\\\\ |\Delta V| = \frac{kQ}{2r}[/tex]
Using the equation for capacitance:
[tex]C = \frac{Q}{\frac{kQ}{2r}}\\\\C = \frac{2r}{k}[/tex]
Solve for 'r'. Recall that k = 8.99 × 10⁹ Nm²/C².
[tex]r = \frac{Ck}{2} = \frac{(0.000002)(8.99\times 10^9)}{2} = 8990 m[/tex]
Since the radius of the outer is '2r', we can easily solve for the outer sphere's radius and subtract the volume of the inner from the outer to find the volume of the region between the spheres.
[tex]V_{outer} = \frac{4}{3}\pi (17980^2) = 1354153772.92 m^3\\\\V_{inner} = \frac{4}{3}\pi (8990^2) = 338538443.23 m^3\\\\V_{outer} - V_{inner} = 1015615329.69 m^3 = \boxed{1.0156 \times 10^9 m^3}[/tex]
A jumping frog travels 9 meters in 5 seconds. What is the frog's velocity? Answer to
the nearest tenth.
Answer:
1.8 m/s
Explanation:
Given,
Distance ( d ) = 9 meters
Time ( t ) = 5 seconds
To find : Velocity ( v ) = ?
Formula : -
v = d / t
v = 9 / 5
v = 1.8 m/s
The frog's velocity is 1.8 m/s.
a man weights 800n at the earth's surface. What will be the weight of the same person when he is orbiting the earth at double the high of the earth's center
Answer:
200 N
Explanation:
F = G m1 m2 / r^2 G m1 and m2 are constant for this scenario
so this becomes
F is proprtional to 1/r^2
f = 1/r^2
800 = 1/r^2 now change r to 2r
F = 1/(2r)^2 = 1/4 * 1/r^2 <======shows force will be 1/4 of original , or 200N
What is one of the most important concepts to remember about multiple non-fiction texts about the same topic?
A. They will always be the same genre
B. They will always written in the same form
C. It does not mean that they will always completely agree
D. They will always agree
Answer:
d. they will always agree
Explanation:
although they are all on the same topic the writer will more likely agree on the same topic as they have similar ideas but different outputs on the subject.
sorry if this is wrong.
A motorist travels first part of a trip at an average speed of 35 km/h and covers an equal distance in the second part. If he has completed his trip at an average speed of 21 km/h then his average speed in the second half is ------- km/h
The average speed of the motorist in the second half of the journey is determined as 7 km/h.
What is average speed?The average speed of an object is the ratio of total distance to total time of motion.
Let his average speed in the second half = x21 = (35 + x) / 2
35 + x = 42
x = 42 - 35
x = 7 km/h
Thus, the average speed of the motorist in the second half of the journey is determined as 7 km/h.
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What happens to the deflection when we increase the number of turns of wire
around the compass, but keep the same current?
Answer:
Because the amount of the field is exactly related to the strength of the electric current, the deflection increases as the current increases. That is, as the electric current increases, so does the magnetic field.
Explanation:
A contractor uses a paddle stirrer to mix a can of paint. The paddle turns at 27.6 rad/s and exerts a torque of 16.6 N•m on the paint, doing work on the paint at a rate of Power = 16.6 N•m × 27.6 rad/s = 458.2 W. An internal energy increase of 11.9 kJ causes the temperature of the paint to increase by 1.00K.
If there were no heat flow between the paint and surroundings, what would be the temperature change of the paint as it is stirred for 5.00 mins?
P = W/t
t = W/P = 11.9 x 10³ : 458.2 = 25.971 s = 0.433 min
0.433 min = 1 K
so for 5 mins = 0.433 x 5 x 1 K = 2.165 K
How is water used in a coal-fired power plant?
Answer:
Cooling. Water is used by thermoelectric generating facilities (coal, natural gas, and nuclear) to make electricity through converting the water into high-pressure steam to drive turbines.
When two surfaces interact, some mechanical energy leaves the system as thermal energy due to ________.
Answer:
Friction
Explanation:
Friction is wasted energy in the form of heat and or destruction.....this is why combustion engines have oil lubriction ====> reduce friction and wear
A particle q1 with the charge of 4.5x10-⁶C is fixed in the space from a distance of 3.7cm , a particle q2 of mass 6.9g and the charge of -3.10x10-⁶C is fired with the initial velocity of 60m/s toward the fixed charge. what is the velocity when it is 1cm away from the q1
The velocity of particle 2 when it is 1cm away from particle 1 is determined as 62.18 m/s.
Force between the charges
The electrostatic force between the two charges is calculated as follows;
F = (kq1q2)/(r²)
F = (9 x 10⁹ x 4.5 x 10⁻⁶ x 3.1 x 10⁻⁶)/(0.037)²
F = 91.71 N
Acceleration of the second particleF = ma
a = F/m
a = (91.71 N)/(0.0069 kg)
a = 13,291.2 m/s²
Velocity of particle 2 at 1 cm from particle 1v² = u² + 2as
v² = 60² + 2(13,291.2)(0.01)
v² = 3865.82
v = 62.18 m/s
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During which weeks of the moon cycle does the moon appear to be getting smaller
Answer:
Since the illuminated side of the moon appears to be getting smaller in size (after the full moon), the moon is said to be in the "erosion phase". For the next 7 days, the moon will remain in an “eroded gibbous stage”.
Explanation:
a machine is 12% efficient if useful work done by it is 6 joules what will be the total energy consumed by it
Since work is the change in kinetic energy, the efficiency of a machine can be stated as the percentage of the output work divided by the input work minus the work lost from to friction and heat. Multiply Eff by 100% to get the efficiency percentage.
Please mark me as brainliest
a car with a 4 cylinder engine travels 100 meters per 20 seconds what is the speed of the car
The speed of the car is 5 m/s.
What is speed?Speed can be defined as the rate of change of distance.
The formula of speed is given below.
Formula:
S = d/t...... equation 1Where:
S = Speed of the card = Total distance traveled by cart = timeFrom the question,
Given:
d = 100 mt = 20 sSubstitute these values into equation 1
S = 100/20S = 5 m/sHence, the speed of the car is 5 m/s.
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Which particles in an atom are acted upon by the strong force? A. Electrons and neutrons B. Neutrons and protons O C. Protons and electrons D. Protons, neutrons, and electrons SUE w
[tex] \large \sf \pmb{B) \: Neutrons \: and \: Protons}[/tex]
Neutrons And Protons is a particles in an atom and are acted upon by the strong force.What is the velocity of the person walking below?
Answer:
2
Explanation:
We would use the formula for velocity!
V= displacement/time
Displacement would be how far the person walked
Time would be the time on the side
AC 1. When a driver applies the brake of a light truck traveling a speed of 12 m/s it skids a distance of 3 m before stopping. How far will the truck skid if it is traveling at a speed of 24 is when the brakes are applied?
vf²=vi²-2ad (vf = 0, stop)
12² = 2a.3
144 = 6a
a = 24 m/s²
24² = 2 x 24 x d
576 = 48d
d = 12 m
If ⃗ is the vector sum of ⃗ and ⃗⃗, ⃗ = ⃗ + ⃗⃗, what must be true about the directions and magnitudes of ⃗ and ⃗⃗ if = + ? What must be true about the directions and magnitudes of ⃗ and ⃗⃗ if = 0?
The magnitude of the vector sum of 2x and 3y is determined as 3.6 units and the direction is 56.3⁰.
Magnitude of the vector
The magnitude of two vectors is determined using the following formula;
[tex]|V| = \sqrt{V_x^2 + V_y^2}[/tex]
Let the sum of the vector = 2x + 3y
The magnitude of the vectors is calculated as follows;
[tex]|V| = \sqrt{2^2 + 3^2} \\\\|V| = 3.6 \ units[/tex]
Direction of the vectorsThe direction of the vectors is calculated as follows;
[tex]tan(\theta) = \frac{V_y}{V_x} \\\\tan(\theta) = \frac{3}{2} \\\\tan(\theta) = 1.5\\\\\theta = tan^{-1} (1.5)\\\\\theta = 56.3 \ ^0[/tex]
Thus, the magnitude of the vector sum of 2x and 3y is determined as 3.6 units and the direction is 56.3⁰.
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If a resistance is added in serles to a circult, the circult resistance is then:
O less
O greater
o the same
Answer:
the overall resistance increases
Explanation:
so, if a resistance is added in series to a circuit, the circuit resistance is greater
A paperboy rode his bike at 10 m/s. After being chased by a dog for 5 seconds, he was traveling 16m/s. What is his acceleration?
Answer:
1.2 m/s^2
Explanation:
acceleration = change in velocity / change in time
= 6 m/s / 5 sec = 1.2 m/s^2
Please Help!
Which statement BEST describes the production of energy in the Sun?
A) Nuclei with more mass break down into nuclei with less mass in the Sun’s core to release energy.
B) Nuclei with less mass combine to form nuclei with more mass in the Sun’s core and release energy.
C) Nuclei with more mass break down into nuclei with less mass on the Sun’s surface to release energy.
D) Nuclei with less mass combine to form nuclei with more mass on the Sun’s surface and release energy.
The statement that best describes the production of energy in the Sun is nuclei with less mass combine to form nuclei with more mass in the Sun’s core and release energy.
How is energy produced in the sun?Sun is a major source of renewable energy to the Earth. This energy serves various purposes by living organisms.
However, the energy is generated as a result of nuclear fusion, which is the combination of smaller particles to form a larger one.
Therefore, the statement that best describes the production of energy in the Sun is nuclei with less mass combine to form nuclei with more mass in the Sun’s core and release energy.
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The diagram shows vectors that are not perpendicular to one another.
Three vectors are drawn tail to tip method in the x y plane. Vector labeled E starts at the origin and is drawn in the northeast direction. The second vector is labeled F and drawn in the south southeast direction. The third is labeled G and drawn in the north northeast direction. X and Y components are drawn for each vector along the x and y axis.
The data table shows the magnitudes of the components of each displacement vector.
A 2 column table with 5 rows. The first column is labeled Component with entries E Subscript x Baseline, F Subscript x Baseline, G Subscript x Baseline, E Subscript y Baseline, F Subscript y Baseline, G Subscript y Baseline. The second column is labeled Magnitude in centimeters with entries 2, 4, 2, 2, 1, 3.
What is the angle of the resultant vector, rounded to the nearest tenth?
0.1°
10.0°
36.9°
41.1°
The angle of the resultant vector, rounded to the nearest tenth is determined as 36.9⁰.
Magnitude of components vectors
The resultant vector of the three vectors can be determined from the magnitude of the components vectors.
Ex = 2
Fx = 4
Gx = 2
Ey = 2
Fy = 1
Gy = 3
∑Vx = Ex + Fx + Gx = 2 + 4 + 2 = 8
∑Vy = Ey + Fy + Gy = 2 + 1 + 3 = 6
Angle of the resultant vectortanθ = Vy/Vx
tanθ = 6/8
tanθ = 0.75
θ = tan⁻¹(0.75)
θ = 36.9⁰
Thus, the angle of the resultant vector, rounded to the nearest tenth is determined as 36.9⁰.
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4. Shania was unsuccessful in turning a bolt. She then decides to fasten a rope as shown below and tried to turn the bolt. Will she be successful this time around? Explain.
Answer:
No. The torque required after attaching the rope is the same as it was before attaching the rope.
L = r X F
The torque was not increased by attaching the rope.
You travel 50.0 km in the direction of 10 degrees above the x-axis. Find the component displacements.
Answer:
49.24, 8.68
Explanation:
y = 50 sin 10 x = 50 cos 10
A student lifts a physical science book off the table and above their head. Is there work being done?
Answer: A force must cause a displacement in order for work to be done. A book falls off a table and free falls to the ground. Yes. This is an example of work.
Explanation:
Which of the following is a disadvantage of renewable energy?
A. It creates large amounts of pollution
B. It could be costly to initially switch to.
C. It will not produce enough power to sustain us.
D. It will not run out.
Answer:
B. It could be costly to initially switch to.
- A particular light source gives off light waves with a measured wavelength of
2.0 X 10-7m. What is the frequency of the light source?
Answer:
f = 1.5 x 10¹⁵ Hz
Explanation:
Light is an electromagnetic wave and we know that the speed of light is a constant which is
3 x 10⁸ m/s.
Knowing this; v = λ x f
λ = wavelength
f= frequency of light
v = seed of light
f = v/λ
f = 3 x 10⁸m/s / 2.0 x 10-⁷ m
f = 1.5 x 10¹⁵ Hz
