An object is being acted upon by three forces and as a result moves with a constant velocity. One force is 60.0 N along the +x-axis, and the second is 75.0 N along the +y-axis. What is the magnitude of the third force?
The diagram representing the forces is shown below
The triangle formed is a right angle triangle. x represents maginitude of the third force. To find x, we would apply the pythagorean theorem which is expressed as
hypotenuse^2 = one leg^2 + other leg^2
From the triangle,
one leg = 75
other leg = 60
hypotenuse = x
By applying the theorem,
x^2 = 60^2 + 75^2 = 3600 + 5625 = 9225
x = square root of 9225
x = 96
The magnitude of the third force is 96 N
a diffraction grating with 750 slits per mm is illuminated by light which gives a first-order diffraction angle of 34.0 ∘. for the steps and strategies involved in solving a similar problem, you may view a video tutor solution.
A diffraction grating with 750 slits per mm is illuminated by light, resulting in a first-order diffraction angle of 34.0°.
To solve this problem, we can use the formula for the angle of diffraction given by the equation: sin(θ) = mλ/d, where θ is the angle of diffraction, m is the order of the diffraction (in this case, first-order), λ is the wavelength of light, and d is the spacing between the slits on the diffraction grating.
In this case, we are given the first-order diffraction angle (θ = 34.0°) and the spacing between the slits (d = 1/750 mm = \(1.33\) ×\(10^{-3}\) mm. We need to find the wavelength of the light (λ).
Rearranging the formula, we have: λ = d * sin(θ) / m.
Plugging in the values, we get: λ =\((1.33\) ×\(10x^{(-3)} mm\) ) *\(\frac{sin(34.4)}{1}\)
Calculating this expression, we find the wavelength of the light to be approximately \(3.46\) ×\(10^{-5}\) mm or 34.6 nm.
Therefore, the wavelength of the light illuminating the diffraction grating is approximately 34.6 nm.
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Two rocket ships approach a space station at 80% of the speed of light from opposite directions. each pilot observes the other ship approaching at __ the speed of giht
Two rocket ships approach a space station at 80% of the speed of light from opposite directions. each pilot observes the other ship approaching at 0.98 c the speed of light.
What do you understand by speed of light ?Speed of light, the rate at which light waves move through various substances. Specifically, the speed of light in a vacuum is presently calculated to be 299,792,458 meters per second. One of nature's basic constants is the speed of light.
American physicist Albert Michelson used an eight-sided spinning mirror system to conduct his research in the mountains of Southern California during the 1920s and produced one of the earliest accurate calculations of light's velocity.
It is given that
\(V_{AB} =\frac{V_{A} +V_{B}}{1+\frac{V_{A} V_{B} }{c^{2} } } \\V_{AB} =\frac{.8c+0.8c}{1+\frac{.8cX.8c}{c^{2} } } \\V_{AB} = 0.98c m/s\)
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At time t=0 , in your frame of reference Z, you measure the back of the spaceship to be at x=0 and the front of the ship to be at x=l . Find an equation relating the length that you measure l to the ship's proper length l0 .
An equation relating the length that you measure l to the ship's proper length l0 is
l =l0/y. This is further explained below.
What is an equation relating the length that you measure l to the ship's proper length l0?Generally, Any object's length in a moving frame will look shortened or contracted when seen in that direction. The Lorentz transformation may be used to determine the amount of contraction.
In conclusion, To use the Lorentz Lorentz transformation, the length Lo-x2 - may be determined if it is measured in the moving reference frame. Hence the Resultant l = l0/y.
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A block on a horizontal surface of negligible friction is placed in contact with an ideal spring, as shown above. The block is moved to the left so that the spring is compressed a distance x from equilibrium and then released from rest. The block has kinetic energy k1 when it separates from the spring. When the spring is compressed a distance 2x and the block is released from rest, the kinetic energy of the block when it separates from the spring is:
Answer: 4K1
Explanation:
Which word describes Arette?
A. Trilingual
B. Bilingual
C. Monolingual
Arette is considered bilingual.
Within the context of this question, Arette is from France but speaks two different language
What is bilingual?Bilingual is a word which is usually, frequently and most of the times used to describes a person, community or a nation that speaks two languages.
I myself too; I am bilingual; I speak English and Yoruba
Generally, people who speak more more more than one language are considered as linguists
In conclusion, Arette is considered bilingual.
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STT 5.4 A mountain biker is climbing a steep 20 degree slope at a constant speed. The cyclist and bike have a combined weight of 800 N. Referring to 5.11 for guidance, what can you say about the magnitude of the normal force of the ground on the bike?
A n>800 n
B n=800 n
c n<800 n
The requried magnitude of the normal force of the ground on the bike is less than the weight of the bike and rider, so the correct answer is (C) n < 800 N.
The normal force is equal in magnitude to the component of the force of gravity that is perpendicular to the ground. This means that the normal force is given by:
\(n = mg cos(\theta)\)
In this case, the angle of the slope is 20 degrees, and the combined weight of the bike and rider is 800 N. We can find the mass of the bike and rider by dividing the weight by the acceleration due to gravity:
m = 800 / 9.81 ≈ 81.6 kg
Now we can plug in the values into the formula for the normal force:
n = (81.6)(9.81 2) cos(20°) ≈ 770 N
Therefore, the magnitude of the normal force of the ground on the bike is less than the weight of the bike and rider, so the correct answer is (C) n < 800 N.
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For work to be accomplished we must have?
A. an action which causes movement and an opposite reaction
B. an action which causes no movement or reaction
C. a force and a movement in the opposite direction of the force
D. a force and a movement in the same direction as the force
Answer:
a force and a movement in the same direction as the force.
Explanation:
how to prove sand is not a fluid even if it takes the shape of a container
A pring of force contant 120 N/m i acted up by a contant force of 240n. Calculate the elatic potential tored in the pring
A spring of force constant 120 N/m acted up by a constant force of 240N. Then, the elastic potential energy stored in the spring is 240 Nm.
The elastic potential energy stored in the spring is formulated as follows
PE = ½kx²
Where PE is the elastic potential energy, x is the displacement of the spring from its equilibrium position, and k is the spring force constant.
In this question, the spring force constant is 120 N/m, and the constant force acting on the spring is 240 N. To find the spring displacement, we can use the formula:
F = kx
Where F is the force acting on the spring, x is the displacement, and k is the force constant,
So that:
F = kx
240 N = 120 N/m . x
x = 240 N/120 N/m
x = 2 m
Once x is known, then we can calculate the potential energy of the spring:
PE = ½kx²
PE = ½ (120) (2²)
PE = 60 x 40
PE = 240 Nm
So, the elastic potential energy stored in the spring is 240 Nm.
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g a 50 kg mass is resting on a plane that is inclined at 15 degrees above the horizontal. a 250 n forces is applied to the mass, up the inclined plane, but the mass does not move. determine the coefficient of static friction between he mass and the plane.
The coefficient of static friction between the mass and the plane is 0.52.
Then coefficient of static friction is the value that must be overcomed when two surfaces are in contact. This value depends on the nature of the surfaces in contact.
In the given question, since the two surfaces are rough, frictional force will act in opposite direction of the motion.
Given that;
F = μR
where F is the force applied to the mass and R is its reaction.
F = 250 N
R = mgCos θ
= 50 x 10 Cos 15
= 483 N
So that;
μ = F/R
= 250/483
μ = 0.52
The coefficient of static friction between the mass and the plane is 0.52.
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22. Fill in the blanks below for the given circuit.
www
2592
1292
A
I=2A
6Ω
Answer:
Considering this circuit, fill the blanks given below. AVtot = 12 V Req=1 In Itot = | A 上三下 11=1 JA V1 = V R1 = 11 Ω R2= 72 (Rg= 202 12 =D JA V2 ..
Explanation:
2592
The value of "www" is 7768 Volts. The voltage across R1 is 5184 Volts, and the voltage across R2 is 2584 Volts.
How to solveFirst, we need to find the total resistance (RT) in the circuit, which is the sum of the resistances of R1 and R2:
RT = R1 + R2 = 2592Ω + 1292Ω = 3884Ω
Next, we can use Ohm's law to find the total voltage (VT) across the circuit:
VT = I × RT = 2A × 3884Ω = 7768V
So, "www" is equal to 7768 Volts.
Now we can calculate the voltage across each resistor using Ohm's law again:
Voltage across R1 (V1) = I × R1 = 2A × 2592Ω = 5184V
Voltage across R2 (V2) = I × R2 = 2A × 1292Ω = 2584V
The value of "www" is 7768 Volts. The voltage across R1 is 5184 Volts, and the voltage across R2 is 2584 Volts.
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A circuit consists of a voltage source with a voltage of "www" Volts, connected in series with two resistors, R1 and R2. R1 has a resistance of 2592 Ohms and R2 has a resistance of 1292 Ohms. The current flowing through the circuit is 2 Amperes. Determine the value of "www" and the voltage across each resistor.
What does the labeled point in the diagram represent??A. A crestB. A troughC. The frequencyD. The wavelength
We will have the following:
The labeled point in the diagram represents a trough.
Per Bernoulli's Principle, low velocity = ____ pressure.
A. high
B. medium
C. low
D. no
Answer:
A. high pressure
Explanation:
Bernoulli's equation is given as;
\(P_2 + \frac{1}{2} \rho v_2^2 + \rho gh_2 = P_1 + \frac{1}{2} \rho v_1^2 + \rho gh_1\\\\P_2 = P_1 + \frac{1}{2}\rho (v_1^2 - v_2^2) + \rho g(h_1-h_2)\)
Based on the equation above, it can be seen that an increase in velocity (from v₁ to v₂ ) causes a decrease in pressure (P₂), while a decrease in velocity will cause an increase in pressure.
Therefore, Per Bernoulli's Principle, low velocity = high pressure.
If 100.0 g of a substance releases 45 kJ of energy as it cools from 13.0°C to –15.0°C, what is the specific heat capacity of the substance?
Answer:
16,071.42J/kgKExplanation:
The formula for expressing the quantity of heat released is expressed as;
Q = mcΔt
m is the mass of the substance = 100g - 0.1kg
c is the specific heat capacity of the substance
Δt is the change in temperature = 13 -(-15) = 28°C
Substitute and get c;
45000 = 0.1c(28)
2.8c = 45000
c = 45000/2.8
c = 16,071.42J/kgK
Hence the specific heat capacity of the substance is 16,071.42J/kgK
describe the trends of the elements including boiling/melting points and conductivity in relation to the periodic table
Explanation:
modern quantum mechanics explains these periodic trends in properties in terms of electron shells. the filling of each shell corresponds to a row in the table
a packing crate is at rest on a horizontal surface. it is acted on by three horizontal forces: 600 n to the left, 200 n to the right, and friction. the weight of the crate is 400 n. if the 600-n force is removed, the net force acting on the block is:
The force will be zero.
What is Newton's second law?
One of the most significant laws is the Newton's second law. F = ma, where F (force) and a (acceleration) are both vector values, can be used to represent a body whose mass m is constant.
The crate is not permitted that is relative to the surface before to the 600-N force being released.
It would move at no speed. Its acceleration would be 0 because its velocity isn't changing.
By combining, the 600-N force to the left and the 200-N force to the right, the combined force on the craft is equivalent to 400-N.
The resulting force acting on the crate would be zero according to Newton's Second Law. Friction, the only other horizontal force acting on the crate, ought to counteract the 400-N force.
In this instance, 400 N of friction should exert its force in the opposite direction.
Only the 200-N force to the right and friction would remain on the crate when the 600-N force is gone.
If there is to be any friction at all, it must be at least 200 N in order for there to be no net force. The static friction coefficient in this situation is unknown.
The precise value of the maximum friction on the crate cannot be determined as a result.
But keep in mind that there was 400 N of friction on the crate prior to the removal of the 600 N force. The box was nevertheless subject to the usual vertical diection force.
One can therefore be confident that the maximum force would be at least 400N to the right. That will balance the 200 N force adequately.
Therefore, the force on the crate could be zero, and the crate won't move.
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The answer of the question of force newton's second law will be zero.
What is Newton's second law?
One of the most significant laws is the Newton's second law. F = ma, where F (force) and a (acceleration) are both vector values, can be used to represent a body whose mass m is constant. The crate is not permitted that is relative to the surface before to the 600-N force being released. It would move at no speed. Its acceleration would be 0 because its velocity isn't changing.
The static friction coefficient in this situation is unknown. But keep in mind that there was 400 N of friction on the crate prior to the removal of the 600 N force. The box was nevertheless subject to the usual vertical diection force. One can therefore be confident that the maximum force would be at least 400N to the right. That will balance the 200 N force adequately.
Therefore, the force on the crate could be zero, and the crate won't move.
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when the ball is at its lowest point, is the tension in the string greater than, less than, or equal to the ball's weight?
When the ball is at its lowest point, the tension in the string is greater than the ball's weight.
Stretching, stretching behaviour, or the state of being stiffly stretched. muscle tensing: stress perception 1b. : one or both of two counteracting forces that induce or tend to cause extension.
Compression force's opposite is tension. All of the things in the scene that are in contact with one another apply forces to one another. The best demonstration of a tension force is when a rope is being pulled. The rope builds up a lot of tension when a pull force is applied to it.
The pressure inside a vessel, such as the pressure in the blood vessels (blood pressure). For instance, hypertension is the medical term for high blood pressure. Stress, particularly when it manifests as tensed scalp muscles, bottled-up emotions, or anxiety.
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A car is parked at rest on a horizontal road. The upward force of the road on the car (the normal force) is the same size as the downward pull of gravity A car is parked at rest on a horizontal road. The upward force of the road on the car (the normal force) is the same size as the downward pull of gravity Because of Newton's first law. Because they are an action/reaction pair. Both of the above. None of the above. Some other reason.
Answer:
Option A - Because of Newton's first law of motion
Explanation:
This is as a result of Newton's first law of motion.
Newton's first law of motion which is also referred to as the law of inertia states that; an object at rest will remain at rest and an object in motion will remain in motion with the same speed and in the same direction unless it's acted upon by an unbalanced force.
In this question, the car is at rest and it doesn't move because the upward force of the car is balanced by the downward pull of gravity. It can only move when an external force is applied to it. This fulfills Newton's first law of motion.
What technologies are in place to reduce ozone
Strategies currently being implemented include:
Vapor recovery nozzles at the gasoline pumps to reduce refueling emissions;
Cleaner burning gasoline reformulated to reduce VOC, NOx and other pollutants;
Strict NOx emission limits for power plants and industrial combustion sources;
Enhanced vehicle inspection programs in states; and
Strict limitations on the solvent usage in factories.
hope this helps
If a radioactive material has a 10 year half-life, how much of a 100 g sample will be left after 30 years?
Answer:
12.6 g
Explanation:
Since it has a half life of 10 years and the question asks for 30 years all you need to do is divide 100 in half 3 times
A 50-kg block is at rest on a 15o slope. A force of 250 N is acting on the block up the slope parallel to it. If the block does not slide up the slope, what is the minimum value of the coefficient of static friction between the block and the slope
The minimum value of the coefficient of static friction between the block and the slope is 0.53.
Minimum coefficient of static frictionApply Newton's second law of motion;
F - μFs = 0
μFs = F
where;
μ is coefficient of static frictionFs is frictional forceF is applied forceμ = F/Fs
μ = F/(mgcosθ)
μ = (250)/(50 x 9.8 x cos15)
μ = 0.53
Thus, the minimum value of the coefficient of static friction between the block and the slope is 0.53.
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Two 110 kg bumper cars are moving toward each other in opposite directions. Car A is moving at 8 m/s and Car Z at −10 m/s when they collide head–on. If the resulting velocity of Car A after the collision is −10 m/s, what is the velocity of Car Z after the collision? 10 m/s −8 m/s 8 m/s 10 m/s-
Answer:
it will be 8ms-1
Explanation:
MaUa+MbUb=MaVa+MbVb
A car traveling at a speed of 25 m/s increases its speed to 30 m/s in 10 sec. What is the acceleration of the car?
Answer:
.5m/s/s
Explanation:
V + at
5.0 a of current flows with uniform current density through a wire of 3.0 mm diameter. at what two radii is the magnetic field 3.33 gauss (3.33x10-4 t)? [8 pts]
The magnetic field is 3.33 Gauss at radii of 8.9 mm and 3.8 mm from the center of the wire.
We can use Ampere's Law to find the magnetic field at a distance r from the center of the wire:
∮B·dl = μ₀I,
where B is the magnetic field, dl is a differential element of length around a closed loop, μ₀ is the permeability of free space, and I is the current.
Since the current density J is uniform, we have:
I = JA,
where A is the cross-sectional area of the wire.
For a wire of diameter d, we have:
A = π(d/2)² = πd²/4
So, I = Jπd²/4.
Using these expressions and solving for B, we obtain:
B = μ₀Jr/2
where r is the distance from the center of the wire.
Setting B = 3.33x10⁻⁴ T, we can solve for the values of r:
3.33x10⁻⁴ = 4πx10⁻⁷ x 5.0 x (r/1.5) / 2
r = 0.0089 m = 8.9 mm and r = 3.8 mm.
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Use the information in the square to answer the questions
about tin.
Answer:
50 protons in an atom of tin, 50 electrons in an atom of tin, and 69 neutrons in an atom of tin
Explanation:
glacial deposits consist primarily of __________.group of answer choicesvery coarse-grained materialvery well-sorted materialvery poorly sorted materialvery fine-grained material
Glacial deposits consist primarily of c. very poorly sorted material.
This means that the sediment contained in glacial deposits varies greatly in size, ranging from boulders to fine-grained silt and clay particles. This is because glaciers are capable of eroding, transporting, and depositing a wide range of sediment sizes as they move across the landscape. The process of glacial erosion involves the grinding and crushing of rocks, which creates a mixture of angular and rounded particles.
As the glacier melts, it deposits this mixture of sediment, resulting in a haphazard and disorganized arrangement of particles. This can make it difficult to determine the exact composition of glacial deposits, as the sediment can vary greatly even within a single deposit. However, the poorly sorted nature of glacial deposits is a key characteristic that distinguishes them from other types of sedimentary deposits. So therefore the correct answer is c. very poorly sorted material, is the glacial deposits.
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What are the layers of sedimentary rock called?
A single layer of sedimentary rock is known as a bed or stratum (plural: strata). Each bed contains rock of a single composition and texture and can clearly be distinguished from the beds or strata above and below. This layering of strata is unique to sedimentary rocks and occurs because of the way that sediments are deposited.
In your own words, describe conservation of mass. Use examples to support your answer.
Answer:
The law of conservation of mass or principle of mass conservation states that for any system closed to all transfers of matter and energy, the mass of the system must remain constant over time, as the system's mass cannot change, so quantity can neither be added nor be removed
Explanation:
Explain the operation of a simple circuit made of logic gates
and design the following combinational circuit.
Answer:
A combinational logic circuit is a circuit whose outputs only depend on the current state of its inputs. In mathematical terms, the each output is a function of the inputs. These functions can be described using logic expressions, but is most often (at least initially) using truth tables.