Answer:
A) refraction experiment n = n₁ sin θ₁ / sin θ₂
B) n_A = 1.19 , n_B = 1.53
Explanation:
A) This exercise is a method to measure the refractive index of materials, a very useful and simple procedure is to create a plate of known thickness from each material, place the material on a paper with angle measurements (protractor), incline the laser beam and measure the angles of incidence and refraction (within the material), repeat for about three different angles of incidence and use the equation of refraction to determine the index
n₁ sin θ₁ = n₂ sinθ₂
n₂ = n₁ sin θ₁₁ /sin θ₂
If the medium surrounding the plate is air, its refractive index is n₁ = 1, the final expression is
n = n₁ sin θ₁ / sin θ₂
B) For this part, no data are given in the exercise, but we can take 50º as the angle of incidence and measure the angle of refraction. Suppose it is 40º for material A and 30º for material B, the refractive index would be
material A
n_A = sin 50 / sin 40
n_A = 1.19
material B
n_B = sin 50 / sin30
n_B = 1.53
a car is moving 5.82 m/s when it accelerates at 2.35 m/s2 for 3.25, what is its final velocity
The final velocity of the car can be calculated using the formula: final velocity = initial velocity + acceleration * time. Plugging in the values you provided, we get: final velocity = 5.82 m/s + 2.35 m/s² * 3.25 s = 13.44 m/s.
On the Moon’s surface, lunar astronauts placed a corner reflector, off which a laser beam is periodically reflected. The distance to the Moon is calculated from the round-trip time. What percent correction is needed to account for the delay in time due to the slowing of light in Earth’s atmosphere? Assume the distance to the Moon is precisely 3.84×108 m , and Earth’s atmosphere (which varies in density with altitude) is equivalent to a layer 30.0 km thick with a constant index of refraction n = 1.000293.
Answer:
\(T_d=2.8*10^-^6\%\)
Explanation:
From the question we are told that
Distance b/w Earth and the moon \(d_e=3.84×10^8 m\)
Thickness of Earth's atmosphere\(d_t=30km\)
Constant index of refraction \(n = 1.000293.\)
Generally the equation for percentage of time delay \(T_d\) is mathematically given as
\(T_d=\frac{d(n-1)}{rm}*100\%\)
\(T_d=\frac{(35*10^3)(1.000293-1)()100)}{3.674*10^8} *\%\)
\(T_d=2.8*10^-^6 \%\)
Therefore the general percentage correction needed because of tym deley is given as
\(T_d=2.8*10^-^6\%\)
Anita Knapp needs to get hay to cows in a frozen field using an airplane flying 80.0 m/s, at a height of 300,m. If at the last minute, how far from the cow would she have to release the hay in order to hit the cow? *
Answer:
Explanation:
If we ignore wind resistance, the time needed for the hay to drop from vertical rest is
t = √(2h/g) = √(2(300)/9.81) = 7.82 s
d = vt = 80.0(7.82) = 626 m before passing over the cow.
For each scenario below, choose the best graph.
(a) Maria bikes from home to work.
A line graph that plots either speed or distance against time.
Really, the type of graph depends on what quantity you want the graph to show.
A flat sheet of paper of area 0.450 m2 is oriented so that the normal to the sheet is at an angle of 600 to a uniform electric field of magnitude 18 N C-1. What is the magnitude of the electric flux through the sheet? A. 3.22 N m2 C-1 B. 21.42 N m2 C-1 C. 5.04 N m2 C-1 D. 11.72 N m2 C-1 E. 4.05 N m2 C
The magnitude of the electric flux through the sheet is 4.05 N m² C⁻¹ (Option E).
The electric flux through a surface is given by the product of the electric field strength and the area of the surface projected perpendicular to the electric field.
In this case, the electric field strength is 18 N C⁻¹, and the area of the sheet projected perpendicular to the electric field is 0.450 m²
(since the normal to the sheet makes an angle of 60° with the electric field). Multiplying these values gives the electric flux:
Electric flux = Electric field strength × Area
Electric flux = 18 N C⁻¹ × 0.450 m²
Electric flux = 8.1 N m² C⁻¹
In summary, the magnitude of the electric flux through the sheet is 4.05 N m² C⁻¹. This value is obtained by multiplying the given electric field strength by the projected area of the sheet perpendicular to the electric field.
The angle of 60° is taken into account to determine the effective area for calculating the flux.(Option E).
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A car travels a distance of 140 km at 70.0 km/hr. It then travels an additional distance of 60.0 km at 40.0 km/hr. The average speed is
Answer:
57.1 km/hr
Explanation:
To find the average speed you take the total distance divided by the total elapsed time.
So, the total distance is 140 + 60 = 200
the total elapsed time is found by taking 140/70=2 and 60/40=1.5
2+1.5=3.5
The plug the numbers into the equation,
200/3.5=57.1
what is the angle between 3i-2j-3k and the negative x axis
Answer:
Um its the vbuck card on the 3 thrid level
Explanation:
Bc its a vbuck card you know sihdg;aig
The femur of a human leg (mass 10 kg,
length 0.9 m
) is in traction, as shown in the figure. The center of gravity of the leg is one-third of the distance from the pelvis to the bottom of the foot. Two objects, with masses 1
and 2,
are hung at the ends of the leg using pulleys to provide upward support. A third object of 8 kg
is hung to provide tension along the leg. The body provides tension as well.
Write a mathematical relationship relating 1
to 2
in terms of 2
and numerical coefficients.
The mathematical relationship between m₁ and m₂ is that m₁ is twice the value of m₂.
Length of the femur, L = 0.9 m
Mass of the femur, M = 10 kg
Centre of gravity = L/3
m₁ + m₂ = M
T₁ + T₂ = Mg
m₁g + m₂g = Mg
T₁ + T₂ = m₁g + m₂g
T₁(L/3) = T₂(2L/3)
m₁g(L/3) = 2m₂mg(L/3)
Therefore,
m₁ = 2m₂
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In the situation below, a tractor pulls two carts. Cart A is 300 kg and Cart B is 200
kg. If the tractor is driving with an acceleration of 3 m/s2 determine all of the
forces acting on both carts. (assume no friction)
Where is the near point of an eye for which a spectacle lens of power +2 D is prescribed for reading purpose?
The near point of a human eye is about a distance of 25 cm.
The closest distance that an object may be viewed clearly without straining is known as the near point of the eye.
This distance (the shortest at which a distinct image may be seen) is 25 cm for a typical human eye.
The closest point within the accommodation range of the eye at which an object may be positioned while still forming a focused picture on the retina is also referred to as the near point.
In order to focus on an item at the average near point distance, a person with hyperopia must have a near point that is further away than the typical near point for someone of their age.
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Physical properties of a mineral are a result of the arrangement of the atoms in the mineral. Use this fact to explain the following:_________
A. One mineral has a density of 2.7 g/ml while another has a density of 5.1 g/ml
B. The mineral mica cleaves into thin flat sheets while olivine does not show cleavage
Explanations:
a) The physical properties of a mineral is as a result of the arrangement of the atoms in the minerals. The reason behind one mineral having a density of 2.1 g/ml which is lower than that of another mineral with density of 5.1 g/ml is the packing density of the minerals. Minerals with high density have their atoms more closely packed together, leaving less space between the atoms. This characteristics means that they have more atomic mass per unit volume for a given molecular space, when compared to another mineral with its atoms less closely packed.
b) The property of cleavage is due to the crystalline structure of a mineral species. Cleavage is used to describe the ease with which minerals cleaves. Cleavage is due to a weak bonding strength between the molecules of the mineral, or a due to a greater lattice spacing across the the cleavage plane than in other planes within the crystal. The greater the lattice spacing, the weaker the strength of the bond across a plane.
From these, we can clearly see that the property of cleavage is due to the physical properties of the crystalline structure of the mineral species.
Two astronauts, each with a mass of 50 kg, are connected by a 7 m massless rope. Initially they are rotating around their center of mass with an angular velocity of 0.5 rad/s. One of the astronauts then pulls on the rope shortening the distance between the two astronauts to 4 m. What was the averageangular speed exerted by the astronaut on the rope?
Answer:
The angular velocity is \(w_f = 1.531 \ rad/ s\)
Explanation:
From the question we are told that
The mass of each astronauts is \(m = 50 \ kg\)
The initial distance between the two astronauts \(d_i = 7 \ m\)
Generally the radius is mathematically represented as \(r_i = \frac{d_i}{2} = \frac{7}{2} = 3.5 \ m\)
The initial angular velocity is \(w_1 = 0.5 \ rad /s\)
The distance between the two astronauts after the rope is pulled is \(d_f = 4 \ m\)
Generally the radius is mathematically represented as \(r_f = \frac{d_f}{2} = \frac{4}{2} = 2\ m\)
Generally from the law of angular momentum conservation we have that
\(I_{k_1} w_{k_1}+ I_{p_1} w_{p_1} = I_{k_2} w_{k_2}+ I_{p_2} w_{p_2}\)
Here \(I_{k_1 }\) is the initial moment of inertia of the first astronauts which is equal to \(I_{p_1}\) the initial moment of inertia of the second astronauts So
\(I_{k_1} = I_{p_1 } = m * r_i^2\)
Also \(w_{k_1 }\) is the initial angular velocity of the first astronauts which is equal to \(w_{p_1}\) the initial angular velocity of the second astronauts So
\(w_{k_1} =w_{p_1 } = w_1\)
Here \(I_{k_2 }\) is the final moment of inertia of the first astronauts which is equal to \(I_{p_2}\) the final moment of inertia of the second astronauts So
\(I_{k_2} = I_{p_2} = m * r_f^2\)
Also \(w_{k_2 }\) is the final angular velocity of the first astronauts which is equal to \(w_{p_2}\) the final angular velocity of the second astronauts So
\(w_{k_2} =w_{p_2 } = w_2\)
So
\(mr_i^2 w_1 + mr_i^2 w_1 = mr_f^2 w_2 + mr_f^2 w_2\)
=> \(2 mr_i^2 w_1 = 2 mr_f^2 w_2\)
=> \(w_f = \frac{2 * m * r_i^2 w_1}{2 * m * r_f^2 }\)
=> \(w_f = \frac{3.5^2 * 0.5}{ 2^2 }\)
=> \(w_f = 1.531 \ rad/ s\)
Suppose you put five electrons into an infinite square well of width L.
Find an expression for the minimum energy of this system, consistent with the exclusion principle.
The minimum energy is given by E_total = 2 * E_1 + 2 * E_2 + E_3.
In an infinite square well potential, the energy levels for a single particle are given by the equation:
E_n = (n^2 * h^2) / (8 * m * L^2),
where n is the quantum number, h is Planck's constant, m is the mass of the electron, and L is the width of the well. The lowest energy level corresponds to n = 1, yielding the minimum energy for a single electron in the well.
To consider the exclusion principle, we need to ensure that each energy level can accommodate at most two electrons (one with spin-up and one with spin-down).
Therefore, the five electrons will fill the energy levels starting from the lowest and moving up, with each level accommodating two electrons.
The total minimum energy of the system is the sum of the energies of the filled energy levels. For this case, we fill the n = 1 and n = 2 energy levels completely, while only partially filling the n = 3 level to accommodate the remaining electron. Thus, the minimum energy is given by:
E_total = 2 * E_1 + 2 * E_2 + E_3,
where E_1, E_2, and E_3 are the energies of the respective energy levels. Substituting the equation for E_n into the expression above, we obtain the final expression for the minimum energy of the system consistent with the exclusion principle in the infinite square well potential.
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If Ms. Moss is going 70m/s how long will it take her to go 4,200 m?
Answer:
from
velocity= displacement/time
then
time=displacement/velocity
time= 4200/70
time=60s
time will take 60seconds
You work with a catering firm and have been given a challenge. By emptying several liquid beverage dispensers, you have to rank them in order of their content (which one is fullest, next fullest, etc.) Having had a physics class, you simply open the horizontal spouts all from the same height and compare where the streams land on the ground below. In terms of how far each stream lands from the jug, which of the following statements is correct:
Option A: The pressure (and hence water level) is lower when the speed is lower. Lower speeds result in smaller ranges and the streams will land closer to the jug.
Option B: The pressure (and hence water level) is higher when the speed is lower. Lower speeds result in smaller ranges and the streams will land closer to the jug.
Option C: The pressure (and hence water level) is lower when the speed is lower. Lower speeds result in larger ranges and the streams will land closer to the jug.
Option D: Water speed has no effect on pressure.
The correct statement is B. "The pressure (and hence water level) is lower when the speed is lower. Lower speeds result in smaller ranges and the streams will land closer to the jug".
What is Bernoulli's principle?According to Bernoulli's principle, which applies to fluids in motion, when the speed of a fluid increases, its pressure decreases. This means that if the fluid is flowing out of a container at a high speed, the pressure in the container will be lower than if the fluid was flowing out at a lower speed.
So, in this scenario, if the dispenser with the fullest content is opened and the liquid flows out at a high speed, the pressure in the dispenser will be lower, resulting in the liquid traveling further away from the dispenser and landing further away from the jug. Conversely, if the dispenser with the least amount of content is opened and the liquid flows out at a low speed, the pressure in the dispenser will be higher, resulting in the liquid traveling a shorter distance and landing closer to the jug.
Therefore, the pressure (and hence the water level) is lower when the speed is lower, and lower speeds result in smaller ranges, and the streams will land closer to the jug.
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An electron is accelerated by a potential difference of 382.11 kV. How fast is the electron moving if it started from rest?
The potential difference is related to the kinetic energy of the electron by the formula,
1/2mv^2 = eV
where
m is the mass of the electron
e is the charge of the electron
V is the potential dfference
From the information given,
V = 382.11 x 10^3
m = 9.1 x 10^-31
e = 1.6 x 10^- 19
Thus, we have
1/2 x 9.1 x 10^-31 x v^2 = 1.6 x 10^- 19 x 382.11 x 10^3
45.5 x 10^- 32v^2 = 611.376 x 10^- 16
v^2 = 611.376 x 10^- 16/45.5 x 10^- 32
Taking square root of both sides,
v = 3.67 x 10^8 m/s
The velocity is 3.67 x 10^8 m/s
The following equation shows the position of a particle in time t, x=at2i + btj where t is in second and x is in meter. A=2m/s2, b=1m/s.
Find
A, the average velocity of the particle in the time interval t₁=2sec and t₂=3sec
B, the velocity and acceleration at any time t.
C, the average acceleration in the time interval given in part (a)
(a) The average velocity of the particle in the time interval t₁=2sec and t₂=3sec is 10 m/s.
(b) The velocity and acceleration at any time t is v = (4ti + j) m/s and a = a = 4i m/s²
(c) The average acceleration in the time interval given in part (a) is 3.98 m/s².
Position of the particlex = at²i + btj
x = 2t²i + tj
Average velocity, at t₁=2sec and t₂=3secΔv = Δx/Δt
x(2) = 2(2)²i + 2j
x(2) = 8i + 2j
|x(2)| = √(8² + 2²) = 8.246
x(3) = 2(3)²i + 3j
x(3) = 18i + 3j
|x(3)| = √(18² + 3²) = 18.248
Δv = (18.248 - 8.246)/(3 - 2)
Δv = 10 m/s
Velocity and acceleration at any time, tv = dx/dt
v = (4ti + j) m/s
a = dv/dt
a = 4i m/s²
Average accelerationv(2) = 4(2)i + j
v(2) = 8i + j
|v(2)| = 8.06 m/s
v(3) = 4(3)i + j
v(3) = 12i + j
|v(3)| = 12.04 m/s
a = (12.04 - 8.06)/(3 - 2)
a = 3.98 m/s²
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A block having a mass of m = 19.5 kg is suspended via two cables as shown in the figure. The angles shown in the figure are as follows: α = 17° and β = 27°. find the numeric value of the T1 and T2 in new ton?
The equilibrium condition allows finding the result for the tensions of the cables that support the block are:
T₁ = 245.1 N and T₂ = 263.1 N
Newton's second law establishes a relationship between the net force, the mass and the acceleration of the bodies, in the special case that the acceleration is zero is called the equilibrium condition.
∑ F = 0
Where F is the force.
A free body diagram is a diagram of the forces without the details of the bodies, in the attachment we can see a free body diagram of the system.
Let's write the equilibrium condition for each axis.
x-axis
T₂ₓ - T₁ₓ = 0
T₂ₓ = T₁ₓ
y-axis
\(T_{1y} + T_{2y} - W =0\)
We use trigonometry to find the components of stress.
cos 17 = \(\frac{T_{1x}}{T_1}\)
sin17 = \(\frac{T_{1y}}{T_1y}\)
T₁ₓ = T₁ cos 17
\(T_1_y\) = T₁ sin 17
cos 27 = \(\frac{T_2_x}{T_2}\)
sin27 = \(\frac{T_2_y}{T_2}\)
T₂ₓ = T₂ cos 27
\(T_{2y}\) = T₂ sin 27
We substitute.
T₂ cos 27 = T₁ cos 17
T₂ sin27 + T₁ sin17 = W
We solve the system.
\(T_1 \frac{cos 17 \ sin 27}{cos 27} + T_1 sin 17 = m g \\T_1 ( tan 27 cos 17 + sin 17) = 19.5 \ 9.8\)
T₁ (0.7796) = 191.1
T₁ = 245.1 N
We look for the T₂ tension.
T₂ = \(T_1 \ \frac{cos 17 }{cos 27}\)
T₂ = 245.1 \(\frac{cos 17}{ cos 27}\)
T₂ = 263.1 N
In conclusion, using the equilibrium condition we can find the result for the tensions of the cables that the block supports are:
T₁ = 245.1 N and T₁ = 263.1 N
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Which trait do you think is most important for a boss or supervisor to have?
Answer:
A high EQ (emotional intelligence)
In today's transitioning workplace, having a high EQ is the most important trait of a good boss. Bosses must be able to discern between their own personal beliefs and the thoughts and beliefs of others, and other generations (boomers, Gen X, xennials, millennials and now Gen Z).
Explanation:
hope it helps you
basketball player has a 0.603 probability of making a free throw. If the player shoots 28 free throws, what is the probability that she makes no more than 20 of them?
The probability that the basketball player makes no more than 20 free throws out of 28 is 0.836 or 83.6%.
To find the probability that the basketball player makes no more than 20 free throws out of 28, we need to calculate the cumulative probability of making 20 or fewer free throws.
Let's denote the probability of making a free throw as "p" and the number of free throws made as "x". In this case, p = 0.603 and we want to find the probability of x ≤ 20 out of 28 free throws.
We can use the binomial probability formula to calculate this cumulative probability:
P(x ≤ 20) = P(x = 0) + P(x = 1) + P(x = 2) + ... + P(x = 20)
P(x = k) = C(n, k) * \(p^k\) *\((1 - p)^{(n - k)\)
Where
C(n, k) = binomial coefficient
Given by n! / (k! * (n - k)!), and represents the number of ways to choose k successes out of n trials.
Now we can calculate the probability using this formula:
P(x ≤ 20) = P(x = 0) + P(x = 1) + P(x = 2) + ... + P(x = 20)
P(x ≤ 20) = ∑ [C(28, k) * \(p^k\) * \((1 - p)^{(28 - k)\)] for k = 0 to 20
Calculating this sum can be quite tedious, so it's often more convenient to use statistical software or a binomial probability calculator. For instance, using a calculator, the probability is approximately 0.836.
Therefore, the probability that the basketball player makes no more than 20 free throws out of 28 is approximately 0.836 or 83.6%.
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An electric car can accelerate from rest to 96.5 km/h (this is often called “from 0 to 60” measured in miles per hour) in 2.4 s. Find the power of the car, given its mass of 1961 kg
We can start by finding the acceleration of the car:a = Δv/Δt = (96.5 km/h)/(2.4 s) = 40.21 m/s^2
Next, we can find the force required to accelerate the car:F = ma = (1961 kg)(40.21 m/s^2) = 78914.81 N
Finally, we can find the power of the car:P = Fv = (78914.81 N)(96.5 km/h) = 2.84 x 10^6 W
Therefore, the power of the car is approximately 2.84 megawatts.
A race car traveling at 10 meters per second accelerates at 1.5 meters per second squared while moving a distance of 600 meters. Which of the following best represents the final speed of the race car?
Answer:
Explanation:
Givens
vi = 10 m/s
a = 1.5 m/s^2
d = 600 m
vf = ?
Formula
vf^2 = vi^2 + 2*a*d
Solution
vf^2 = 10^2 + 2*1.5 * 600
vf^2 = 100 + 1800
vf^2 = 1900
sqrt(vf^2) = sqrt(1900)
vf = 43.59 m/s
The graph below shows the motion of a person leaving a theater. Three segments of their journey have been identified as A, B, and C.
What does line segment C represent?
The person is moving away from the theater.
The person is standing still.
The person is moving closer to the theater.
The person is slowing down.
The graph below shows the motion of a person leaving theater, line segment C represent : The person is moving away from the theater.
What is meant by motion?In physics, motion is a change with time of the position or orientation of a body. Motion along a line or a curve is called as translation whereas motion that changes orientation of a body is called rotation.
Motion is a change in position of an object over the time and is described in terms of displacement, distance, velocity, acceleration, time and speed.
Change in position of a body with time when compared with another body is known as motion.
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In a velocity selector having electric field E and magnetic field B, the velocity selected for positively charged particles is v= E/B. The formula is the same for a negatively charged particles.
a. True
b. False
Answer:
True or False
Explanation:
Because.....
easy 50% chance you are right
According to the principal of superposition,
Answer:
the resultant wave is the algebraic sum of all the waves reaching that particular point at a given time.
Explanation:
imagine two or three waves reaching a particular particle x at the same time. The particle will vibrate those waves and give out or transmit a resultant wave which is the algebraic sum of the incoming two waves. If both the waves have the same amplitude and phase, the resultant wave will be amplified. However if the waves have the same amplitude and equal but opposite phase then the resultant wave will be a straight line
What is a centripetal acceleration of a greyhound running on a circular track with a radius of 50 m at 12.5 m/s
Answer:
Centripetal acceleration = 3.125 m/s²
Explanation:
Given the following data;
Radius, r = 50 m
Velocity, V = 12.5 m/s
To find the centripetal acceleration;
Centripetal acceleration = Velocity²/radius
Centripetal acceleration = 12.5²/50
Centripetal acceleration = 156.25/50
Centripetal acceleration = 3.125 m/s²
Therefore, the centripetal acceleration of the greyhound running on a circular track is 3.125 meters per seconds square.
The majority of the fresh water on Earth is frozen in glaciers and ice caps. If the climate changed around the world, causing glaciers and ice caps to melt, which situation would most likely occur?
Responses
A Land would become more fertile.
B Air temperatures would decrease.
C Ocean water would become saltier.
D Land masses would become smaller.
The most likely situation to occur if the climate changed and caused glaciers and ice caps to melt is:
D. Land masses would become smaller.
When glaciers and ice caps melt due to climate change, the water released from the melting ice flows into rivers, lakes, and eventually the oceans. This increase in water volume contributes to a rise in sea levels. As sea levels rise, low-lying coastal areas and islands may become submerged, leading to a reduction in the size of land masses.
In addition, the melting of glaciers and ice caps can cause other changes in the environment. While it might seem like the added freshwater could make the ocean water less salty, the influx of cold freshwater can actually disrupt ocean currents, which are crucial for regulating Earth's climate. As a result, certain regions may experience altered weather patterns and temperatures. However, these changes are complex and interconnected, making it difficult to predict specific outcomes, such as air temperature decrease or increased land fertility, solely based on melting ice caps and glaciers.
Overall, the most direct and likely impact of melting glaciers and ice caps on a global scale would be the reduction in land mass size due to rising sea levels.
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what change occurs to the mass of an object when a unbalanced
Answer:
The mass decreases
Explanation:
Just smart
What are the names of two types of alternative energy source that makes use of 'gravity' to produce "free" electricity? *
2 points
wind turbines
nuclear energy
hydroelectricity
solar panels
geothermal energy
tidal power
The two type of alternative energy sources are tidal power and wind turbines.
Electricity is defined as the flow of charges which can be gotten from various sources that include:
coal, natural gas,oil,andnuclear power.Alternative to energy are those renewable energy sources that can generate electricity. Example are
wind andwaterWind turbines uses wind with the help of gravity to generate electricity. The wind pushes against the blades making them turn which exerts force of gravity into the turbine to generate electricity.
Tidal power uses waves with the help of gravity to generate electricity. Electricity is generated from the gravitational pull of the sun and earth's rotational pulls that causes water waves to occur.
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How many kilocalories of heat would be needed to melt 0.32 kg of ice at 0°C and increase the temperature to 25°C? The specific heat of water is 1 cal/g.°C, specific heat of ice is 0.5 cal/g.°C, the latent heat of ice to water is 80 cal/g. Keep one digit after the decimal.