A ray in flint glass (n = 1.61)
reaches a boundary with glycerol
(n = 1.47) at 68.9 deg. Does it
reflect internally or refract into
the air?
Enter o for reflect, and 1 for refract.
(Water n = 1.33, Air n = 1.00)
Answer:0
Explanation:
0
The angle of refraction θ₂ is 73.3°. Since θ₂ is less than 90 degrees, the ray will refract.
To determine whether the ray will reflect internally or refract into the air at the boundary between flint glass (n = 1.61) and glycerol (n = 1.47), we can use Snell's law. Snell's law relates the angles of incidence and refraction at an interface between two different media.
Snell's Law is given as;
n₁ × sin(θ₁) = n₂ × sin(θ₂)
where:
n₁ and n₂ are refractive indices of two media,
θ₁ is the angle of incidence, and
θ₂ is the angle of refraction.
In this case, the ray is traveling from flint glass (n₁ = 1.61) to glycerol (n₂ = 1.47). The incident angle is given as 68.9 degrees.
To determine whether the ray will reflect or refract, we need to compare the angle of refraction (θ₂) to 90 degrees. If θ₂ is greater than 90 degrees, the ray will reflect internally. If θ₂ is less than 90 degrees, the ray will refract.
Let's calculate the angle of refraction (θ₂) using Snell's law:
n₁ × sin(θ₁) = n₂ × sin(θ₂)
1.61 × sin(68.9°) = 1.47 × sin(θ₂)
0.996 = 1.47 × sin(θ₂)
sin(θ₂) = 0.996 / 1.47
θ₂ ≈ 73.3°
Since θ₂ is less than 90 degrees, the ray will refract.
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when representing velocity as a a vector a. the length of the arrow represents the speed b. the length of the arrow is drawn to a suitable scale. c. the direction of the arrow shows the direction of motion. d. all of the above
All of these representing velocity as a a vector.
wht is vector?
A vector in physics is a quantity that has both magnitude (size) and direction. Examples of common vectors in physics include force, velocity, and acceleration. Vectors are often represented graphically by arrows with the magnitude indicated by the length of the arrow and the direction indicated by the direction of the arrow.
Vectors can be added together to give the resultant vector, which has a magnitude and direction determined by the sum of the vectors being added. Vectors can also be multiplied by scalars to give a new vector with a greater or lesser magnitude but the same direction.
Therefore, All of these representing velocity as a a vector.
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help pls physics problem
Answer:
0.4329 seconds
Explanation:
We are given;
Distance; d = 0.635 m
Velocity; v = 3.22 m/s
Angle; θ = 62.9°
To find the time, we have to find the horizontal component of the velocity.
Thus, Vx = 3.22 × cos 62.9
Formula for time is;
t = d/Vx
t = 0.635/(3.22 × cos 62.9)
t = 0.4329 sec
Thus the time he will take to clear the hurdle is 0.4329 sec
write a general expression for the magnitude of the angular velocity of the disk after the acceleration in terms of the frequency.
A general expression for the magnitude of the angular velocity of the disk after the acceleration in terms of the frequency is ω = 2πf.
How can you calculate the angular acceleration?photo of For the magnitude of the disk's angular velocity following acceleration, formulate a generic statement in terms of frequency.The formula for angular acceleration is angular velocity () divided by acceleration time (t). Alternatively, pi () divided by the acceleration time (t) and 30 times driving speed (n). Radians per second squared (Rad/sec²), the standard SI unit of rotational acceleration, is produced by this equation.
When your fingers are curled in the direction of the disc's rotation, the thumb will point in the direction of angular velocity. The plane of rotation is perpendicular to the direction of angular velocity at all times.
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The data below were collected by scientists testing the force of gravity between two objects.
Distance Mass 1 Mass 2 Force
(kg) (kg)
(m)
(N)
0.10
100 150
0.00010
0.10
150
150
0.00015
0.10
100
300 0.00020
0.10
200
200
0.00027
0.10
200
300 0.00040
What do the data in the table support?
OA. The force of gravity between two objects is determined by the object with less mass.
OB. The force of gravity depends on the masses of the objects interacting.
OC.
The force of gravity between two objects is determined by the object with more mass.
D.
The force of gravity only depends on the distance between the objects interacting.
The data table supports that: Option B, "the force of gravity depends on the masses of the objects interacting." is the correct answer.
What is gravity?
Gravity, also sometimes called as gravitation, is the non-changing force of attraction that binds everything together in mechanics. Being the weakest known force in nature, it has little effect on determining the intrinsic properties of common objects.
In the given data table, the distance is same in all five cases, but we can see that the force of gravity is increasing with increase in mass of any one of the object or both of them. We can also understand it as the force of gravity is increasing with the increase in combined mass of both objects.
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a 1.60 m m tall person lifts a 1.40 kg k g book off the ground so it is 2.00 m m above the ground. part a what is the potential energy of the book relative to the ground?
27.44 J of the potential energy of the book relative to the ground, when a 1.60 m tall person lifts 1.40 kg of the book off the ground.
A 1.60 m m tall person lifts a 1.40 kg book off the ground so it is 2.00 m m above the ground.
The potential energy of the book relative to the ground would be:
PE = mgh
Where PE is the potential energy,
m is the mass,
g is the acceleration due to gravity, and
h is the height
The acceleration due to gravity is constant and is 9.8 m/s²
mass m = 1.40 kg
Height h = 2.00 m
mgh = 1.40 × 9.8 × 2.00 = 27.44 J
Ans: The potential energy of the book relative to the ground is 27.44 J.
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A skater increases her velocity from 4.0 m/s to 10.0 m/s in 3.0 seconds. What is the skater’s acceleration?
Answer:
answer is 2 ms-2
Explanation:
v= 10.0 m/s
u=4.0 m/s
t=3.0 seconds
a=?
from equation, v= u+at
10.0 m/s =4.0 m/s + a × 3s
6 m/s. = 3a
6/3 = a
2.0 m/s-2 = a
The wave function for a quantum particle is given by ψ(x)=A exp( −∣x∣ / a) where A and a=0.9 are constants and −[infinity]
The wave function for a quantum particle is given by ψ(x)=A exp( −∣x∣ / a) where A and a=0.9 are constants and −[infinity] .
Answer:The given wave function for a quantum particle is ψ(x) = A exp ( −|x| / a). Here, A and a = 0.9 are constants. Given that the length of the box is L = 10 Å, the wave function must vanish outside the box, i.e., at x = ±L / 2.
Thus, ψ (±L / 2) = 0. ψ (±L / 2) = A exp ( ±L / 2a) = 0.
Thus, ±L / 2a = ∞ ⇒ L = 2a∞/ = 2a/0. the box's length is L = 2a/0.
The given wave function is ψ(x) = A exp ( −|x| / a)
The wave function vanishes at x = ±L/2
ψ(±L/2) = 0 ⇒ A exp (±L/2a) = 0 This means that ±L/2a = ∞ ⇒ L = 2a/0 , the length of the box is L = 2a/0.
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i) Show that total energy of the body at points A, B and C during the fall is same. ii) Find the distance from A to B and final velocity of the ball just reach before C. mass =5 kg, total height (h)= 100m
The total energy of the body at evevry point is remained same due to the law of conservation of energy. Distance from A to B and final velocity of the ball just reach before C is 44.3 m/s.
d (distance) from A to B is = √2gh
In this case given are, g = 9.8 m/s² and h = 100m,
so here d = √(2⋅9.8⋅100) = 44.3m.
Final velocity ,v = √2gh
Here given are , v is the velocity, g is the acceleration due to gravity, and h is the height. In this case,
g = 9.8 m/s² ,h = 100m,
v = √(2⋅9.8⋅100)
= 44.3 m/s (final velocity)
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what 3 things are produced as a result of the fusion of two atoms
Answer:
Electron, proton and neutron
Explanation:
In each and every atom they are consist of electron, proton and neutron.
Cars already on the freeway do not have the right-of-way to cars merging onto the freeway.
A. true
B. false
The statement Cars already on the freeway do not have the right-of-way to cars merging onto the freeway is False.
What is the right-of-way?
The right-of-way is the right of a pedestrian, vehicle, or ship has to move ahead or proceed with precedence over others in a particular situation or place.
The right-of-way of car already on the freeway precedes those of other cars merging onto the freeway.
In conclusion, the right-of-way is a legal right as to who has precedence in a particular situation or place.
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Answer:
false
Explanation:
Blank provide us with the actual rocks from inside Earth. They are considered blank evidence of
Core samples provide us with the actual rocks from inside Earth. They are considered direct evidence of Earth's interior.
Rocks from the interior of the Earth are actually sampled via core samples. These are regarded as concrete proof of the interior of the Earth. Because they take a direct sample of the rocks that make up the layers that make up the Earth's surface and core, core samples provide clear proof of what is inside the planet.
Researchers can identify differences in weather patterns and climatic changes across time using geological core samples. Also, there may be proof of species, as well as the sedimentary make-up of lake and river beds, for instance. The dynamic character of the Earth's formation and how it changes through time are directly demonstrated by core samples. Where there are changes in the composition of the Earth can be determined thanks to seismic waves.
Seismograms can be used by geologists to determine the various components of the Earth's internal structure, such as which regions are solid, molten, or made of gases.
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Correct question is:
________ provide us with the actual rocks from inside Earth. They are considered ________ evidence of
is it possible for one energy store to transfer into another energy store ?Explained answer
Answer:
Yes
Explanation:
Energy can be transferred from one object to another or between energy stores within the same object. For example on a pool table when white ball hits another ball energy is transferred from the kinetic store of the white ball to the kinetic store of the other ball.
Answer:
Yes. Energy changes from one form to another.
Explanation:
It is possible. For example, a rock sitting on a cliff has lots of potential energy. As it falls down the cliff, the potential energy turns into kinetic energy.
Another example would be a spring. When a spring is stretched it has a lot of elastic potential energy. When you release it it becomes kinetic energy.
calculate the vertical induced stress (dsz) at points b and c which are all located 8m below the surface. the pressure induced by the mat foundation is 250 kpa at the surface.
The vertical induced stress at points b and c, located 8m below the surface, is 181.25 kPa.
To calculate the vertical induced stress (dsz) at points b and c, we need to use the Boussinesq's equation. The equation states that the vertical induced stress (dsz) at a point below the surface of a mat foundation is equal to the pressure induced by the foundation at the surface (P0) multiplied by a correction factor (N) and a depth factor (Z).
N and Z are determined by the distance from the center of the foundation to the point of interest. For point b and c, which are 8m below the surface, the depth factor (Z) is equal to 0.5.
The correction factor (N) can be calculated using the following formula:
N = (1 + 0.4(D/B))((B+D)/D)^0.5
Where D is the depth of the foundation and B is the width of the foundation.
Assuming a foundation width of 10m and depth of 2m, we can calculate N to be approximately 1.45.
Therefore, the vertical induced stress (dsz) at points b and c is:
dsz = P0 x N x Z = 250 kPa x 1.45 x 0.5 = 181.25 kPa
So, the vertical induced stress at points b and c, located 8m below the surface, is 181.25 kPa.
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Sally and Misha pushed a cart toward the right with a force of 24 N each. If Jeff pushed on the cart in the opposite direction, how much force would he need to use to cause the cart to experience balanced forces? (Answer with a number)
Answer:
F = 48 [N]
Explanation:
To solve this problem we must use Newton's third law, which tells us that the sum of forces on a body must be equal to zero, that is, the body is in static equilibrium or in equilibrium.
ΣF = 0
24 + 24 - F = 0
F = 24 + 24
F = 48 [N]
Note: Jeff's force should be equal to the sum of Sally and Misha's forces, but in the opposite direction.
A small toddler is playing in his yard. Over the course of 29.01 s, he walks 2.099 m S before turning N and walking 1.429 m. What is his average velocity?
Answer:
0.0231 m/s
Explanation:
Given the question :
A small toddler is playing in his yard. Over the course of 29.01 s, he walks 2.099 m S before turning N and walking 1.429 m. What is his average velocity?
Distance walked south = 2.099 metre
Time taken = 29.01s
Distance walked north = 1.429 metre
Average Velocity = Displacement / time
The Displacement is hence,
(2.099 m - 1.429m) = 0.67m
Average Velocity = 0.67m / 29.01s
Average Velocity = 0.02309 m/s
Average Velocity = 0.0231 m/s
4. List 3 detailed examples of Newton's 3rd Law.
Answer: If one billiard ball hits another, the second will move with the same force as the first.
A child wants to jump to climb a tree (reaction), he must push the ground to propel himself (action).
A man deflates a balloon; the force with which the air comes out causes the balloon to move from one side to the other.
Explanation:
-Hitting A Wall
-Rowing a boat
-Walking
Explanation:
1.If you hit a Wall with your hands or legs, you get hurt. Why?
Because of Newton's Third Law. You hit the wall with a force and that exact same amount of force is returned by the wall.
2. While Rowing a boat, when you want to move forward on a boat, you paddle by pushing the water backwards, causing you to move forward.
3.While Walking, You push the floor or the surface you are walking on with your toes, And the surface pushes your legs up, helping you to lift your legs up.
A series RLC circuit has a resistance of 20 , a capacitance of 10-2 F, an inductance of 10 H and an applied voltage E(t) = 200 cos 5t Volts. Assuming no initial current and charge when voltage is first applied, find the subsequent current in the system.
The subsequent current in the series RLC circuit is given by the equation: i(t) = I * cos(5t - Φ), where I is the amplitude of the current and Φ is the phase angle.
To find the subsequent current, we need to calculate the amplitude (I) and the phase angle (Φ) of the current.
First, let's calculate the resonant frequency (ω) of the circuit:
ω = 1 / √(LC) = 1 / √(10 * 10^(-2)) = 1 / √1 = 1 rad/s.
The applied voltage can be written as E(t) = E * cos(ωt), where E is the amplitude of the voltage.
Comparing this with the given voltage E(t) = 200 * cos(5t), we can equate the angular frequencies: ω = 5.
Now, let's find the impedance (Z) of the circuit:
Z = √(R^2 + (Xl - Xc)^2),
where R is the resistance, Xl is the inductive reactance, and Xc is the capacitive reactance.
R = 20 Ω
Xl = ωL = 1 * 10 = 10 Ω
Xc = 1 / (ωC) = 1 / (5 * 10^(-2)) = 20 Ω
Plugging in these values, we get:
Z = √(20^2 + (10 - 20)^2) = √(400 + 100) = √500 ≈ 22.36 Ω.
The amplitude of the current (I) can be calculated using Ohm's Law:
I = E / Z = 200 / 22.36 ≈ 8.94 A.
The phase angle (Φ) can be found using the relationship between resistance, inductive reactance, and capacitive reactance:
tan(Φ) = (Xl - Xc) / R = (10 - 20) / 20 = -0.5.
Therefore, Φ ≈ -0.464 rad.
The subsequent current in the series RLC circuit is given by i(t) = 8.94 * cos(5t + 0.464) A.
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In an experiment to determine the density of a substance the following results were
obtained. Use the results to plot a graph of mass against volume.
Mass (g) 10 20 30 40 50 60 70 80 90
Volume (cm 3 ) 0.5 1.0 1.4 2.0 2.2 2.6 3.0 3.6 4.5
a) Find the gradient of the graph.
b) What does the gradient represent?
c) What is the mass when the volume is 1.5cm 3 ?
d) What is the volume when the mass is 65g?
Answer:
a) Gradient = rise/run = mass/volume
since the graph is mass against volume we know mass is on the y-axis and volume is on the x-axis
in physics it’s best to use a larger part of the graph to find the gradient, so imma use the biggest values.
90/4.5 = 20
(additional note: sometimes you may get a different gradient. For example, when using 30 and 1.4 you get ≈21 this is an anomalous result since ita gradient differs; a mass against volume graph is supposed to be linear)
b) gradient represents density (p) since gradient is = mass/volume. And density also = mass/volume
For c and d just plot the points and you’ll be able to read from the graph to get the values.
I got this graph (the image)
but you’ll be able to interpret better when ‘you’ draw it (so try plotting it)
A sample of gas has a pressure of 3. 2 atm and a volume of 345 mL. If the pressure is increased to 9. 2 atm, what is the new volume?
The new volume of the gas V2 is 92.18 mL. The new volume of the gas can be calculated using the ideal gas law equation, PV = nRT, where P is pressure, V is volume, n is the number of moles, R is the universal gas constant, and T is temperature.
For this example, the temperature of the gas should remain constant. Thus, the equation changes to PV1/P2V2 = nR, where P1 is the initial pressure and V1 is the initial volume, and P2 is the new pressure and V2 is the new volume.
Step 1: Using the ideal gas law, calculate the new volume:
V1 = 345 mL
P1 = 3.2 atm
P2 = 9.2 atm
V2 = (P1V1)/P2
V2 = (3.2 atm x 345 mL) / 9.2 atm
V2 = 92.18 mL
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of the following, which is the largest compartment for carbon in earth's system
The largest compartment for carbon in Earth's system is the deep ocean, specifically the deep-sea sediments.
These sediments contain vast amounts of organic and inorganic carbon that has accumulated over millions of years.
The amount of carbon stored in these sediments is estimated to be on the order of 40,000 billion metric tons, which is several times more than the amount of carbon stored in the atmosphere, land plants, and soils combined.
The deep ocean plays an important role in the global carbon cycle, as it serves as a long-term storage reservoir for carbon and helps to regulate the concentration of carbon dioxide in the atmosphere over long timescales.
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as shown in the figure, a 10-kg block on a perfectly smooth horizontal table is connected by a horizontal string to a 63-kg block that is hanging over the edge of the table. what is the magnitude of the acceleration of the 10-kg block when the other block is gently released?
Newton's second law allows to find the acceleration of the two-body system, where a mass is hanging is:
The acceleration of the system is: a = 8.46 m / s²
Newton's second law states that the net force on a body is equal to the product of the mass and the acceleration.
∑ F = m a
Where the bold letters indicate vectors, F is the force, m the mass and the acceleration of the body.
A free body diagram is that diagram of the system where the forces are shown without the details of the bodies. In the attachment we have a free-body diagram of the system.
Let's write Newton's second law for each axis.
x- axis
T = m₁ a
y-axis
body in the horizontal part
N-W₁ = 0
N = W₁
Body hanging.
W₂ - T = m₂ a
Wwhere the positive direction is down, let's write our system of equations.
T = m₁ a
W₂-T = m₂ a
Let's Resolve.
m₂ g = (m₁ + m₂) a
a = \(\frac{m_2}{m_1+m_2} \ g\)
Let's calculate.
a =\(\frac{63}{10+63} \ 9.8\)
a = 8.46 m / s²
In conclusion using Newton's second law we can find the acceleration of the two-body system, where a mass is hanging is:
The acceleration of the system is: a = 8.46 m / s²
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URGENT HELP PLS
1. Given a force-displacement curve as shown in the figure, what does the area of the region enclosed by the curve represent?
A. The force acting on the object
B. The displacement of the object
C. The magnitude of the coefficient of static friction
D. The work done on the object by the force
Explanation:
work done is equals to force into displacement in the direction of force
Ans: D
a 36.0 khz, 16.0 v source connected to an inductor produces a 5.10 a current. what is the inductance?
In the given scenario of a 36.0 kHz, 16.0 V source connected to an inductor producing a 5.10 A current, the inductance is calculated to be 7.30 x 10⁻⁴H.
To find the inductance, we can use the formula:
Inductance (L) = voltage (V) / (2π x frequency (f) x current (I))
Plugging in the given values, we get:
L = 16.0 V / (2π x 36.0 kHz x 5.10 A) = 7.30 x 10⁻⁴ H
Therefore, the inductance is 7.30 x 10⁻⁴ H.
To calculate the inductance when given a 36.0 kHz, 16.0 V source connected to an inductor that produces a 5.10 A current, we can use the formula L = V / (2πfI). By plugging in the given values, we find that the inductance is 7.30 x 10^-4 H. This calculation shows that inductance is directly proportional to voltage and inversely proportional to both frequency and current. Therefore, by varying these values, the inductance of a circuit can be controlled.
The inductance of a circuit can be calculated using the formula L = V / (2πfI). In the given scenario of a 36.0 kHz, 16.0 V source connected to an inductor producing a 5.10 A current, the inductance is calculated to be 7.30 x 10⁻⁴H.
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Discuss how directions fields and Euler's method are related. Draw the direction field and use Euler's method to approximate the solution at t = 10 using step size 1, for the initial value problem y'= -3y, y(0) = 5.
By Using Euler's method with two steps, we can find the approximate value of Y(2) is 2.125. , where Y is the solution of the initial value problem dy/dx = x - y, and Y(1) = 3.
Euler's method is defined as a numerical technique which is used to approximate solutions into ordinary differential equations. The method includes dividing the interval of interest into smaller steps and thereafter approximating the solution at each step by using the derivative of the function.
In this case, we are given the initial value problem dy/dx = x - y, with the initial condition Y(1) = 3. To approximate Y(2) using Euler's method with two steps, we will divide the interval [1, 2] into two equal steps.
Step 1:
We start with the initial condition Y(1) = 3. Using the differential equation dy/dx = x - y, we can approximate the value of Y at the midpoint of the interval [1, 2].
Using the step size h = (2 - 1) / 2 = 0.5, we can calculate Y(1.5) as follows:
Y(1.5) ≈ Y(1) + h × (x - y) = 3 + 0.5 × (1.5 - 3) = 3 + 0.5 × (-1.5) = 2.25
Step 2:
Now, using the value of Y(1.5) as the new approximation, we calculate Y(2) using the same process:
Y(2) ≈ Y(1.5) + h × (x - y) = 2.25 + 0.5 × (2 - 2.25) = 2.25 + 0.5 × (-0.25) = 2.125
Thus, by using Euler's method with two steps, the approximate value of Y(2) is 2.125.
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The complete question is
Use Euler's Method With Two Steps To Approximate Y(2), Where Y Is The Solution Of The Initial Value Problem: Dy : X − Y, Y(1) = 3
Which element is a metalloid? selenium (Se) polonium (Po) phosphorus (P) iodine (I)
Answer:
Polonium(Po)
Explanation:
Answer:
B. polonium (Po)
Explanation:
i took the test
Which is an example of the law of multiple proportions?
A. CO and CO2
B. CO and H2O
C. CO and CH4
D. CO and C2 H4
Answer:
the answer is letter b i think
Pls change it if you think my answer is not right ^^
a change in earths total isolation would be caused by _____?
Answer:
sunspots
Sunspots are areas in the sun that has a magnetic field is about 2 thousand times stronger than Earth's. Also is much higher than anywhere else on the Sun.
Two 50 g metal blocks, one made of lead and the other of iron, are heated to 100°C. They are placed in identical calorimeters, each with 100 g of water at a starting temperature of 20°C. Which calorimeter will have the higher temperature at thermal equilibrium: the one with lead or the one with iron? Explain your answer
calorimeter with iron will have the higher temperature at thermal equilibrium.
The particular heat capacity (symbol c) of a material in thermodynamics is the heat capacity of a sample of the substance divided by the mass of the sample, also known as massic heat capacity. Informally, it is the quantity of heat that must be added to one unit of mass of the substance to generate one unit of temperature increase. Specific heat capacity is measured in joules per kelvin per kilogramme, or J⋅kg−1⋅K−1, The heat required to increase the temperature of 1 kilogramme of water by 1 K, for example, is 4184 joules, hence the specific heat capacity of water is 4184 J⋅kg−1⋅K−1. calorimeter with high specific heat have the higher temperature at thermal equilibrium.
In this problem, specific heat of lead is 120 J/kg.°C. and that of iron is 450 J/kg°C.
if the both elements are heated from room temperature 25°C to 100°C,
Total heat contained in lead is,
Q = cmΔT = 120×0.05kg×75°C = 450 J
Total heat contained in iron is,
Q = cmΔT = 450×0.05kg×75°C = 1687 J
Specific heat of the water is 4.2 J/g°C.
Temperature of the calorimeter due to lead
T₂ - T₁ = Q/cm = 450/4.2×100
T₂ - 25 = 1.07
T₂ = 1.07 +25 = 26.07°C
Temperature of the calorimeter due to iron
T₂ - T₁ = Q/cm = 1687 /4.2×100
T₂ - 25 = 4.01
T₂ = 4.01 + 25 = 29.01 °C
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How much work is done when mass of 3kg(weighing 30N)is lifted vertically through 6m?
Answer:
180 [J].
Explanation:
1) the required work [W] can be calculated as difference of the energy: W=E₂-E₁, where E₁=mgh₁ - the energy before lifting, E₂=mgh₂ - the energy after lifting;
2) W=mgh₂-mgh₁, where m - mass; g=10 [N/kg], h - height;
3) then the required work [W]:
W=mg*(h₂-h₁)=30*6=180 [J].