Answer:
The separation of visible light into its different colors is known as dispersion. It was mentioned in the Light and Color unit that each color is characteristic of a distinct wave frequency; and different frequencies of light waves will bend varying amounts upon passage through a prism
Explanation:
The constant 40-N force is applied to the 36-kg stepped cylinder as shown. The centroidal radius of gyration of the cylinder is k = 200 mm, and it rolls on the incline without slipping. If the cylinder is at rest when the force is first ap- plied, determine its angular velocity weight seconds later.
The angular velocity of the stepped cylinder is determined as 2.35 rad/s.
Centripetal acceleration of the cylinder
The centripetal acceleration of the cylinder is calculated as follows;
F = ma
a = F/m
a = 40/ 36
a = 1.11 m/s²
Velocity of the cylindera = v²/r
v² = ar
v² = 1.11 x 0.2
v² = 0.222
v = 0.47 m/s
Angular velocity of the cylinderv = ωr
ω = v/r
ω = 0.47/0.2
ω = 2.35 rad/s
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A boy whirls a ball on a string 1.0 m long in a horizontal circle at 50 rpm. If the mass of the ball is 0.22 kg
What is the tension in the string?
Hi there! :)
We can begin by doing a summation of forces on the ball. In the horizontal direction, we have the force of tension:
[tex]F_{Net} = T[/tex]
The tension force results in a centripetal force experienced by the ball. The equation of centripetal force is equivalent to:
[tex]F_C = m\omega^2 r[/tex]
[tex]F_C[/tex] = Centripetal force (N)
m = mass of ball (0.22 kg)
ω = angular speed of ball(? rad/sec, must convert rpm to rad/sec)
r = radius/length of string (1.0 m)
We must begin by converting rpm to rad/sec:
[tex]\frac{50 rev}{min} * \frac{2\pi rad}{1 rev}* \frac{1 min}{60 sec} = 5.236 \frac{rad}{s}[/tex]
Now, we can set tension equal to the centripetal force and solve. [tex]T = F_{Net} = F_C\\\\T = m\omega^2 r\\\\T = (0.22)(5.236^2)(1) = \boxed{6.031 N}[/tex]
3. Two wires increase in length by the same amount when both their temperatures increase by the same amount, as shown in the diagram. Before the temperature increase, the longer wire is 1.2525 m long. The shorter wire’s linear coefficient of thermal expansion is 1.135 times that of the longer wire. How much shorter is the shorter wire before the temperature increase? Answer to three significant figures
Viết cho Ngọc Khánh
Two wires increase in length by the same amount when both their temperatures increase by the same amount, the shortness of the wire before the temperature increase is mathematically given as
dL=0.1485m
How much shorter is the shorter wire before the temperature increase?Generally, the equation for change in length is mathematically given as
[tex]dl=lo \alpha dt[/tex]
Therefore
dl1=dl2
Where
a2=1.35a1
Hence
a1l1dt= a2l2dt
a1(1.2525)= a1*(1.135)(l2)
L2=1.104m
In conclusion, a change in length due to temperature is
dL=1.2525-1.104m
dL=0.1485m
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a body covers a distance of 20 m in 2 second and then covers 40 metre in next it s8 on a straight line calculate its velocity
Answer:
6 m/s
Explanation:
Average velocity = Total distance covered / Time taken to cover distance
Finding Average Velocity :
⇒ 20 m + 40 m / 2 s + 8 s
⇒ 60 m / 10 s
⇒ 6 m/s
a body covers a distance of 20 m in 2 second and then covers 40 metre in next it s8 on a straight line calculate its velocity.
Solution:AV = 20m + 40m/s 2s + 8secondAV = 60m/s ÷ 10sAV = 6m/s²So the Average velocity is 6m/s²
Iron is attracted to magnets and rusts when in the presence of oxygen. Which is true about these properties of iron?
Iron forms an oxide when exposed to air is a true property about this element.
What is Iron?This is an element which has magnetic properties and forms an oxide when exposed to air.
Iron forms ferric oxide in the presence of oxygen which is the brown like color seen in the form of rust.
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Tearing of paper is said to be a change that cannot be reversed. What about paper recycling? Explain.
BEST ANSWER WILL BE MARKED
Answer:
Recycling of paper cannot be reversed thus making it an irreversible change
Explanation:
When we recycle paper an entirely new product can be made which cannot be changed back to paper
Calculate the amount of energy needed to boil away 1.6 L of water that initially has a temperature of 55 °C.
The amount of energy needed to boil away the water at the initial temperature is 301,248 J.
Energy required to boil the water
The amount of energy needed to boil the water at the given is calculated as follows;
Q = mcΔθ
where;
m is mass of waterdensity of water = 1000 g/L
mass = density x volume
mass of water = 1000 g/L x 1.6 L = 1,600 g
Q = 1600 g x 4.184 J/g⁰C x (100⁰C - 55 ⁰C)
Q = 301,248 J
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2069 (Set B) Q. No. 9d How much force is required to punch a hole 1 cm in diameter in a steel sheet 5mm thick whose shearing strength is 2.76 × 108 Nm 2. X [4]
The force required to punch a hole 1 cm in diameter in a steel sheet is 0.176 x 10¹³ N.
What is force?The force is defined as the shear stress or pressure applied per unit area.
F = P/A
Given is a steel sheet whose thickness t = 5mm = 5x 10⁻³ m, shearing strength P = 2.76 × 10⁸ N/m², diameter of hole d = 1cm = 1x 10⁻² m
The area to be punched A = πd xt
A = π x 1x 10⁻² x5x 10⁻³
A = 15.7 x 10⁻⁵ m²
The force required to punch a hole is
F = 2.76 × 10⁸ / 15.7 x 10⁻⁵
F = 0.176 x 10¹³ N.
Thus, the punching force is 0.176 x 10¹³ N.
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How do light waves differ from sound waves?
Answer:
Light waves are electromagnetic waves while sound waves are mechanical waves. :)
the given vector A=0.3i+0.4j+Bk is a unit vector the value of B is?
Explanation:
We know that,
Magnitude of a unit vector is 1.
and, magnitude of a vector in the form [tex] \sf a \hat{i}+b \hat{j} + c \hat{k} [/tex]
is [tex] \sf \sqrt{a^2+b^2+c^2 } [/tex]
The given vector is,
[tex]\sf \vec{A}= 0.3 \hat{i} + 0.4 \hat{j} + B \hat{k}[/tex]
Magnitude of the given vector is,
[tex]\sf | \vec{A}|= \sqrt{(0.3)^2+(0.4)^2+B^2} =1[/tex]
[tex]\sf \sqrt{0.09+0.16+B^2}=1[/tex]
[tex]\sf 0.25+B^2=1[/tex]
[tex]\sf B^2=1-0.25=0.75[/tex]
[tex]\sf B = \sqrt{0.75} ≈ 0.87[/tex]
What is tan for the given triangle?
Answer:
tan is 15 for that triangle
Answer:
c. 1.33
Explanation:
edmentum
Calculate the work done by a force of 30 N in lifting a load of 2 kg to a height of 10 m (g = 10 m/s2)
F=mg
F= 2 (kg) × 10 (m/s2) = 20 N
W= Fd = mgh
W= 20 × 10 = 200 J
Guys, please answer. If the relationship gives a product of 20 N, why is 30 N in the question?
Answer:
300 J
Explanation:
Given :
Applied force = 30 NMass = 2 kgHeight = 10 mg = 10 m/s²Work done by the force :
Work done = Force x DisplacementWork done = mg x hWork done = 30 N x 10 mWork done = 300 JNote :
What you have calculated is the work done by gravitational force on the object (that too, incorrectly)But in the end, it asks for work done by the force of 30NHence, the given answer ~In a typically constructed research study, the experimental group is selected:
A. after selecting the control group.
B. systematically.
C. through random selection.
D. from a separate pool than is the control group.
Answer:
D. from a separate pool than is the control group.
Explanation:
in the picture the person answers is backwards but...
hope this helps have a nice day
Electromagnets show the interaction of
a. electric current and electric
charges
b. electric charges and magnetic
dipoles
c. magnetic fields and iron filings
d. magnetic fields and electric
currents
Answer:
B
Explanation:
Electric charges and magnetic dipoles
1. What are the two factors affecting friction
?How much work is done by 5 kg water as it is evaporated at 10 bar pressure
Answer:
The (latent) heat of vaporization (∆Hvap) also known as the enthalpy of vaporization or evaporation, is the amount of energy (enthalpy) that must be added to a liquid substance, to transform a given quantity of the substance into a gas.
The enthalpy of vaporization is a function of the pressure at which that transformation takes place. The heat of vaporization diminishes with increasing temperature and it vanishes completely at a certain point called the critical temperature (Critical temperature for water: 373.946 °C or 705.103 °F, Critical pressure: 220.6 bar = 22.06 MPa = 3200 psi ).
You want to lift a heavy box with a mass L = 56.0 kg using the two-ideal pulley system as shown. With what minimum force do you have to pull down on the rope in order to lift the box at a constant velocity? One pulley is attached to the ceiling and one to the box.
The minimum force required to lift the box at constant velocity is determined as 274.4 N.
Minimum force required
The minimum force required to lift the box at constant velocity is the tension in one of the pulleys, and the magnitude is calculated as follows;
2T = mg
where;
m is mass of the boxT is the minimum force required2T = mg
T = mg/2
T = (56 x 9.8)/2
T = 274.4 N
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Why would you expect a person with impairment of the organs of equilibrium to become more unsteady when the eyes are closed?
Answer:
A person with impairment of organs of equilibrium would compensate for their lack of sensory information by their eyes therefore if their eyes are closed they aren't able to sense their location in space accurately (Proprioception)
Explanation:
answer please help me
Answer:
It is showing the wavelength.
Explanation: Hope it helps you:)))
have a good day
One of the possible criteria of Schizophrenia is hallucinations.
Select one:
O True
O False
The chemical symbol for the element carbon ‘ aluminum hydrogen ‘oxygen and sodium
ANSWER:
C = carbon
Al = aluminium
H = hydrogen
O = oxygen
Na = sodium
I hope it helps u dear (^^)
The radius of a nucleus is about 1/10000 that of an atom.
Calculate the radius of a magnesium nucleus.
Give your answer in standard form.
The radius of a magnesium atom is 0.160nm. The radius of a nucleus is about 1/10000 that of an atom.
What is nucleus?The nucleus is an organelle that contains the DNA i.e. genetic material and other materials which is required for cellular processes. It is only found in eukaryotic cells that is responsible for controlling the processes of the cell.
So we can conclude that the radius of a magnesium atom is 0.160nm which is equals to about 1/10000 radius of that atom.
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A rocket is fired with an initial velocity of 100m/s at an angle of 550 above the horizontal. It explodes on the mountain side 12s after its firing. What is the x-and y- coordinates of the rocket relative to its firing point?
The rocket's x- and y-coordinates relative to its launching point will be -0.975 and -0.219 m/sec, respectively.
What is velocity?The change of displacement with respect to time is defined as the velocity. Velocity is a vector quantity. it is a time-based component.
Velocity at any angle is resolved to get its component of x and y-direction.
Given data;
V = 100m/s
θ=550°
t= 142 sec
The given velocity is resolved into the component as:
[tex]\rm V_X=Vcos \theta \\\\ V_y = Vsin\theta[/tex]
The x coordinate of the rocket:
[tex]\rm V_x = 100 cos \ 550^0 \\\\ V_x = -0.975616[/tex]
The y coordinate of the rocket:
[tex]\rm V_y =100 sin \ 550^0 \\\\ V_y = -0.219484[/tex]
Hence, the x-and y- coordinates of the rocket relative to its firing point will be -0.975 and -0.219 m/sec.
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Explain four different types of fitness technologies that are used to help improve your fitness level.
Answer: endurance, strength, balance, flexibility
Explanation:
walking, jogging, swimming, biking
The driver of a car moving at 96.0 km/h receives a text message on his cellphone. If
it takes him 6.7 seconds to read and respond to the message. How many meters
does he drive during this time?
Answer:
179 m
Explanation:
Given:
v₀ = 96.0 km/h × (1000 m/km) × (1 h / 3600 s) = 26.67 m/s
a = 0 m/s²
t = 6.7 s
Find: Δx
Δx = v₀ t + ½ at²
Δx = (26.67 m/s) (6.7 s) + ½ (0 m/s²) (6.7 s)²
Δx = 179 m
The mass of a piece of gold is 57 g and its volume is 3 cm³. What is its
density?
A 15 g/cm³
B. 54 g/cm³
C. 14 g/cm³
OD. 19 g/cm³
How is gravity involved in the formation of stars?
Ampère placed two 1.50-m wires parallel to each other so that they were 4.80 cm apart.
He delivered a current of 6.50 A to the wires. Both wires experienced an external
magnetic field of 2.71 X 10^−5 T. Determine the force on one of the wires.
The force on one of the wires is determined as 1.76 x 10⁻⁴ N/m.
Force on the wire
The force between the two parallel wire is calculated as follows;
F = μI²L/2πr
where;
I is the current in the two wiresL is length of the wiresr is the distance between the wiresF = (4π x 10⁻⁷ x 6.5² x 1.5)/(2π x 0.048)
F = 2.64 x 10⁻⁴ N
Force per unit length of the wireF/L = 2.64 x 10⁻⁴ N / 1.5
F/L = 1.76 x 10⁻⁴ N/m
Thus, the force on one of the wires is determined as 1.76 x 10⁻⁴ N/m.
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Consider a 4.80 kilogram feather (from a Big Bird) on Mars. Gravity on the surface of Mars is only about 38.0% of Earth's gravity.
What would the feather weigh on Earth?
If the feather dropped on you from a height, would it be better to be on Mars or the Earth?
What does the same feather weigh on Mars?
This feather weighs heavier on earth than on Mars hence it is better that the feather falls on you in Mars than on earth.
What is weight?The term weight refers to the effect of the gravitational pull on an object. The acceleration due to gravity on earth is about 9.8m/s^2. The weight of this feather on earth is about 4.80 Kg * 9.8m/s^2 = 47 N
On the planet Mars, the weight is;
4.80 Kg * (0.38 * 9.8m/s^2) = 18 N
This feather weighs heavier on earth than on Mars hence it is better that the feather falls on you in Mars than on earth.
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A lamp with a resistance of 60 Ohms is plugged into a 110-Volt household circuit. How much current flows through the lamp?
The current flowing through the lamp is 1.833A
What is current?The current is the stream of charges which flow inside the conductors when connected across the end of voltage.
From the Ohm's law, V =IR
Here, R is the proportionality constant called resistance of the resistor
A lamp with a resistance of 60 Ohms is plugged into a 110-Volt household circuit.
I = V/R
Put the values, we get
I = 110/60
I = 1.833A
Thus, the current flowing through the lamp is 1.833A
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