A physical pendulum in the form of a planar object moves in simple harmonic motion with a frequency f. The pendulum has a mass m, and the pivot is located a distance d from the center of mass. Determine the moment of inertia of the pendulum about the pivot point
Answer:
[tex] I = \frac{mgd}{4\pi^{2}f^{2}} [/tex]
Explanation:
The moment of inertia (I) of the pendulum can be found using the following equation:
[tex] T = 2\pi\sqrt{\frac{I}{mgd}} [/tex]
Where:
T: is the period of the pendulum
m: is the pendulum's mass
g: is the gravity
d: is the distance of the pivot from the center of mass
Solving the above equation for I:
[tex] I = \frac{T^{2}*mgd}{(2\pi)^{2}} [/tex] (1)
We have that the pendulum moves in simple harmonic motion with a frequency f, and this f is equal to:
[tex] f = \frac{1}{T} \rightarrow T = \frac{1}{f} [/tex]
By entering T into equation (1) we have:
[tex] I = \frac{T^{2}*mgd}{(2\pi)^{2}} [/tex]
[tex] I = \frac{(1/f)^{2}*mgd}{(2\pi)^{2}} [/tex]
[tex] I = \frac{mgd}{4\pi^{2}f^{2}} [/tex]
Therefore, the moment of inertia of the pendulum about the pivot point is [tex] I = \frac{mgd}{4\pi^{2}f^{2}} [/tex].
I hope it helps you!
What is speed in a particular direction?
acceleration
vector
speed
velocity
Answer:
VelocityExplanation:
THE SPEED OF AN OBJECT IN A PARTICULAR DIRECTION IS THE OBJECT'S VELOCITY.
[tex]hope \: this \: helps[/tex]
Answer:
acceleration
Explanation:
Read the scenario below and identify the Independent Variable, Dependent Variable, the Control group, and at least two Constants. Suggest a hypothesis for each scenario: After studying about recycling in his new issue of Organic Compost Quarterly, members of Filbert's compost club decided to investigate the effect of various recycled products on plant growth. Filbert's friends finally decided to compare the effect of different aged grass compost on Jalapeno pepper plants. Because decomposition is necessary for release of nutrients, the group hypothesized that older grass compost would produce taller pepper plants. Three flats of pepper plants (25 plants/flat) were grown for 5 days. The plants were then fertilized as follows: Flat A: 450 g of three-month-old compost Flat B: 450 g of six-month-old compost Flat C: 0 g of compost The plants received the same amount of sunlight and water each day. At the end of 30 days the group recorded the height of the plants (cm) and then threw a party featuring Jalapeno peppers stuffed with cream cheese!
Answer:
The independent variable: is the amount of compost applied to each plant
The dependent variable: the height of the plants
Hypothesis: Older grass compost will produce taller plants
Three groups were created:
the control group is group C to which no compost was applied
investigated group A and B with different amounts of compost applied
Explanation:
The students are considering using the scientific method to analyze the problem.
The independent variable is the one controlled by the researcher and the dependent variable is the response of the system
The independent variable: is the amount of compost applied to each plant
The dependent variable: the height of the plants
Hypothesis: Older grass compost will produce taller plants
Three groups were created:
the control group is group C to which no compost was applied
investigated group A and B with different amounts of compost applied
An object has a mass of 5 kg and a velocity of 20 m/s. What is the momentum of the object?(1 point)
25 kg⋅m/s
4 kg⋅m/s
100 kg⋅m/s
0.25 kg⋅m/s
Answer:
option C is correct
Explanation:
given mass=5 kg
velocity=20 m/s
momentum,P=m v
p=5*20=100 kg m/s
The momentum of the object is 100kg.m/s
HOW TO CALCULATE MOMENTUM:
The momentum of a substance can be calculated by multiplying the mass of that substance by its average speed or velocity. That is;Momentum (p) = mass (m) × velocity (v)
According to this question, an object is said to have a mass of 5 kg and a velocity of 20 m/s. Hence, the momentum can be calculated thus:p = 20m/s × 5kg
p = 100 kg.m/s
Therefore, the momentum of the object is 100kg.m/s.Learn more: https://brainly.com/question/20644069?referrer=searchResults
A hockey puck moves 28 m southward then 14 m northward and finally 4 m southward Distance? And Magnitude and Direction
Explanation:
Given that,
A hockey puck moves 28 m southward then 14 m northward and finally 4 m southward distance.
The total path covered is called distance and the shortest path covered is called displacement.
Distance = 28 m + 14 m + 4 m
Distance = 46 m
Let the nothward direction is positive y axis and southward direction is negative y axis.
Displacement is equal to the difference of final position and the initial position.
Displacement =-28 m - (-4 m)
= -24 m
The magnitude of displacement is in south direction.
Use Lenz's law to explore what happens when an electromagnet is activated a short distance from a wire loop. Note, an electromagnet is a solenoid with a magnetic material inside its core. In this case, the magnetic material is iron, whose magnetic polarization amplifies the external magnetic field produced by the solenoid. You will need to use the right-hand rule to find the direction of the induced current.
Answer:
By Lenz's law, for, coils, if he North pole is activated on the electromagnet, the pole on the side of the coil closest to the electromagnet will be a North pole and the flow of the current will be counter clockwise
Explanation:
Lenz's law states that where a changing magnetic field induces an electric current in a solenoid, the magnetic field that is produced by the coil opposes the initial activation of the electromagnet in the solenoid
By Flamings right hand rule, we have;
When the thumb points in the direction of motion of the conductor relative to the fieldThe first finger points in the direction of the magnetic fieldThe second finger points in the direction of the induced emfTherefore, by Lenz's law, for, coils, if he North pole is activated on the electromagnet, the pole on the side of the coil closest to the electromagnet will be a North pole and the flow of the current will be counter clockwise.
A straight stream of protons passes a given point in space at a rate of 2.5 x 109 protons/s. What magnetic field do they produce 1.5 m from the beam
Answer:
B = 5.3x10⁻¹⁷ T
Explanation:
The magnetic field can be calculated as follows:
[tex]B = \frac{\mu_{0}I}{2\pi R}[/tex]
Where:
μ₀: is the magnetic permeability = 4πₓ10⁻⁷ H/m
I: is the current
R: is the distance between the magnetic field and the beam = 1.5 m
The current is:
[tex] I = 2.5 \cdot 10^{9} p/s*1.6 \cdot 10^{-19} C/p = 4.0 \cdot 10^{-10} A [/tex]
Hence, the magnetic field is:
[tex]B = \frac{\mu_{0}I}{2\pi R} = \frac{4\pi \cdot 10^{-7} H/m*4.0 \cdot 10^{-10} A}{2\pi*1.5 m} = 5.3 \cdot 10^{-17} T[/tex]
Therefore, the magnetic field is 5.3x10⁻¹⁷ T.
I hope it helps you!
The magnetic field will be "[tex]5.3\times 10^{-17} \ T[/tex]".
Magnetic field:According to the question,
Magnetic permeability, [tex]\mu_0 = 4 \pi\times 10^{-7} \ H/m[/tex]
Distance between magnetic field and beam, R = 1.5 m
The current (I) will be:
= [tex]2.5\times 10^9\times 1.6\times 10^{-19}[/tex]
= [tex]4.0\times 10^{-10} \ A[/tex]
hence,
The magnetic field (B) be:
= [tex]\frac{\mu_0 I}{2 \pi R}[/tex]
By substituting the values,
= [tex]\frac{4 \pi\times 10^{-7}\times 4.0\times 10^{-10}}{2 \pi\times 1.5}[/tex]
= [tex]5.3\times 10^{-17} \ T[/tex]
Thus the response above is appropriate.
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(a)
Explain, in terms of the momentum of molecules, how the gas in the balloon exerts
a pressure.
Explanation: The molecules are continually colliding with each other and with the walls of the container. When a molecule collides with the wall, they exert small force on the wall The pressure exerted by the gas is due to the sum of all these collision forces. The more particles that hit the walls, the higher the pressure.
hope it helps
When a wave strikes a new medium, three things can happen: reflection, transmission, and absorption. Consider an echo. Do you think reflection is an important process when sound waves produce an echo?
Answer:
YES
Explanation:
An echo may be defined as a sound which is repeated because of the sound waves that are produced are reflected back after striking a surface. Sound waves can smoothly bounce off the hard objects in the same manner as a rubber ball bounces back the ground.
When a sound wave strikes a hard surface, the sound waves gets reflected back and bounces back to the observer and produces an echo. If the sound waves strikes a soft surface it absorbs the sound.
Although the direction of a sound changes but the echo sounds in the same way as the original sound.
scott travels north 5 miles, then goes west 3 miles, and then goes south for 2 miles.
what is the distance he went?
10 miles
8 miles
7 miles
6 miles
demic
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Question 6
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A swimming pool appears to be 1.0m deep when viewed vertically from above. If the water in the pool has a refractive index of 1.33.
calculate the real depth of the swimming pool.
emic
Choose one
o
1.00m
ACADEMIC
O
1.83m
All News
IN
2.33.71
0.33m
Back
Leave blank
Nent
Answer:
1.33
Explanation:
Apparent Depth = 1.0m
Real Depth = x
Refractive Index = 1.33
n = r.d/a.d
1.33 = x/1
x = 1.33 x 1
1.33
A student records the feather colors and beak shapes of every bird observation in a park. What kind of data is the student recording? A. Qualitative B. Quantitive C. Empirical D. Theoretical
Answer:
The correct option is C
Explanation:
Emperical data is a data that is collected or recorded during the course of an experiment by means of observation. In the case of the question, all the birds that came to the park were said to have had there feather colors and beak shapes recorded during the course of a student's observation.
Answer:
A qualitive
Explanation:
What is the slope of the line plotted below? (-2,-1) (4,2) A. 1 B. 2 C. -0.5 D. 0.5
Answer: D. 0.5
Explanation:
The slope formula is y2-y1/x2-x1.
2-(-1)/4-(-2) = 2+1/4+2
2+1/4+2 = 3/6 = 1/2
1/2 = 0.5
The slope is 1/2, or 0.5.
Before stating the problem, research is often required.
True
False
Answer:
The correct answer is certainly true.
Explanation:
You first need to fully understand the conflict/problem before explaining it.
Most students do this when doing a research project.
For example: Let's say I had a project to explain solutions for climate change but I didn't even know what it is and how it was caused. Well of course your teacher will make you research the topic in order to represent it correctly.
a cannonball is fired with a speed of 76 m/s from the top of a cliff. It strikes the plane below with a speed of 89 m/s. if we neglect air friction, how high is the cliff
Answer:
we use the formula,
[tex]v {}^{2} = u {}^{2} + 2gh[/tex]
[tex]89 {}^{2} = 76 {}^{2} + 2(10)h[/tex]
[tex]h = (89 {}^{2} - 76 {}^{2} ) \div 20[/tex]
h= 107 m
1
A metre rule is used to measure a length
Which reading is shown to the nearest millimetre?
A 0.7 m
B
0.76 m
с
0.761 m
D
0.7614 m
Answer:
the answer is 0.7
Explanation:
because in this this case he asked nearest millimeter so the anwer can be qualified as 0.7 you can covert this into cos tita
A 0.7 m
What is a Metre rule used to measure?A meter ruler is a gadget or a sort of ruler that is used to measure the length and distance of various objects.
A meter rule has a length of one meter, which is equal to one hundred centimeters, as the name suggests.
According to the questions,
On a metric ruler, each individual line represents a millimeter (mm). The numbers on the ruler represent centimeters (cm). There are 10 millimeters for each centimeter. To read a metric ruler, each individual line represents .
As 0.7m = 70cm =700mm
Meter ruler can measure up to 100 cm. As the meter ruler is of 1m.
A metre ruler has a length of one metre, which is equal to one hundred centimetres, as the name suggests. A metre rule, on the other hand, is divided into smaller units called millimetres, with each centimetre divided into ten millimetres.
A metre rule, on the other hand, is divided into smaller units called millimetres, with each centimetre divided into ten millimetres.
As a result, up to one millimetre, a metre rule can be used to measure the shortest length.
A metre rule can be used for more than just measuring distances; it can also be used to draw straight lines and cut blades.
Therefore,
0.7m reading is shown to the nearest millimeter.
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4. Which of the following is equivalent to 800 cm?
a) 80000 nm
b) 8000 mm
c) 8.0x10^7 um
d) 8.0x10^5 km
e) 80 m
Answer:
Explanation:
1 cm =10mm so 800cm is equal to 8000mm.so b is the correct answer
A polar bear runs at a speed of 11 m/s and has a mass of 380.2 kg. How much Kinetic energy does the bear have?
Answer:
[tex] \boxed{\sf Kinetic \ energy \ of \ the \ bear (KE) = 23002.1 \ J} [/tex]
Given:
Mass of the polar bear (m) = 6.8 kg
Speed of the polar bear (v) = 5.0 m/s
To Find:
Kinetic energy of the polar bear (KE)
Explanation:
Formula:
[tex] \boxed{ \bold{\sf KE = \frac{1}{2} m {v}^{2} }}[/tex]
Substituting values of m & v in the equation:
[tex] \sf \implies KE = \frac{1}{2} \times 380.2 \times {11}^{2} [/tex]
[tex] \sf \implies KE = \frac{1}{ \cancel{2}} \times \cancel{2} \times 190.1 \times 121 [/tex]
[tex] \sf \implies KE = 190.1 \times 121 [/tex]
[tex] \sf \implies KE = 23002.1 \: J[/tex]
[tex] \therefore [/tex]
Kinetic energy of the polar bear (KE) = 23002.1 J
someone that would help me! <33
Answer:
Option A is correct.
Explanation:
In the given triangle , x is the base and 14 is the hypotenuse for angle 33°.
cos 33 = base / hypotenuse
Putting the given values
cos 33 = x / 14
.84 = x / 14
x = .84 x 14
= 11.7
Option A is correct.
a student wishes to find the volume of a piece of wood of irregular shape. her experiment requires the use of a small brass object of mass 200g. a] calculate the volume of the brass object. the density of brass is 8.4g/cubic cm.
Answer:
Volume, [tex]V=23.8\ cm^3[/tex]
Explanation:
It is given that,
Mass of small object of brass, m = 200 g
The density of brass is 8.4 g/cm³
We need to find the volume of the brass object. Density is equal to mass of an object per unit its volume.
So,
[tex]d=\dfrac{m}{V}[/tex]
V is the volume of the brass object
[tex]V=\dfrac{m}{d}\\\\V=\dfrac{200\ g}{8.4\ g/cm^3}\\\\V=23.8\ cm^3[/tex]
So, the volume of the brass object is [tex]23.8\ cm^3[/tex].
The volume of the brass object is 23.81 cm³.
Density is the ratio of the mass of a body and its volume. The S.I unit is kg/m³
To calculate the volume of the brass, we make use of the formula below
D = m/V................. Equation 1
Where D = density of the brass object, m = mass of the brass object, V = volume of the brass object.
make V the subject of equation 1
V = m/D.............. Equation 2
From the question,
Given: m = 200 g, D = 8.4 g/cm³
Substitute these values into equation 2
V = 200/8.4
V = 23.81 cm³
Hence, The volume of the brass object is 23.81 cm³
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What is the density of an object with a mass of 24 g and a volume of 225 cm3?
Answer:24/225
Explanation:density =mass/volume
Consider the cooling curve above. The substance is changing state from a gas to a liquid to a solid. As the temperature changes we also know that
Answer:
The substance is changing state from a gas to a liquid to a solid. As the temperature changes we also know that A
Explanation:
A 5.0 kg bike moving 10 m/s comes to a complete stop in 2 seconds. What is the average force of the brakes on the bike?
Answer:
25 N
Explanation:
Force : This is defined as the product of mass and acceleration. The unit of force is Newton or kgm/s².
From the question,
F = ma......................... Equation 1
Where F = Force of the brake, m = mass of the break, a = acceleration.
But,
a = v/t.................. Equation 2
where v = velocity, t = time.
Substitute equation 2 into equation equation 1
F = m(v/t)................ Equation 3
Given: m = 5.0 kg, v = 10 m/s, t = 2 seconds
F = 5(10/2)
F = 25 N.
Hence the average force of the brakes on the bike is 25 N
Answer:
The average force of the brakes on the bike is 25.0 N
Explanation:
The parameters given in the question are,
Mass, m = 5.0kg
Initial velocity, u = 10 m/s
Time, t = 2 sec
Since the bike came to a complete stop, then
Final velocity, v = 0 m/s
To determine the average force of the brakes on the bike; From Newton's second law of motion, Force is given as
F = ma
Where F is the force in N (Newtons)
m is the mass in kg
and a is acceleration in m/s²
Hence, we will first determine the acceleration.
From one of the equations of kinematics for linear motion,
[tex]v = u + at[/tex]
Then, [tex]a = \frac{v - u}{t\\}[/tex]
Putting the given parameters into the above equation, we get
[tex]a = \frac{0 - 10}{2}[/tex]
[tex]a = \frac{-10}{2}\\ a = - 5[/tex]m/s²
The negative sign indicates deceleration since the bike came to a stop,
Hence, [tex]a = 5[/tex] m/s²
From,
F = ma
F = 5.0 × 5
F = 25.0 N
what is the force constant of a spring
which is stretched 4m by a force of 200N
Explanation:
Hooke's law:
F = kx
200 N = k (4 m)
k = 50 N/m
You have 30 L of a liquid. How many gallons is this? (Note: 1 gal/3.79 L)
A finch rides on the back of a Galapagos tortoise, which walks at the stately pace of 0.060 m/s. After 72 seconds the finch tires of the tortoise’s slow pace, and takes flight in the same direction for another 72 seconds at 12 m/s. What was the average speed of the finch for this 144-second interval?
Answer:
The average speed of the finch is: 6.03 m/s
Explanation:
Recall that the average value of a function in a given interval is defined as the integral of the function (area under the curve the function describes) in that interval, divided by the length of the interval.
In this case, the function that describes the speed of the finch (in the vertical axis) as a function of time (in the horizontal axis), is a piecewise function that consists of two horizontal lines (one at y = 0.06 between 0 and 72 seconds in the horizontal axis, and the other one at y = 12 between 72 and 144 in the horizontal axis).
The area of such function is simply the addition of the areas of two rectangles, both of the same width (72 seconds) but of different heights (one 0.06 m/s and the other one 12 m/s)
Then these areas add up to give:
0.06 * 72 + 12 * 72 = 868.32 m
When we divide this by the length of the interval of integration (144 seconds) to calculate the average speed, we get:
average speed = 868.32/144 = 6.03 m/s
Both a 3 kg book and 5 kg bowling ball are sitting still on the floor. What is true about the kinetic energy of the objects? Explain.
Answer:
The kinetic energy for both objects is the same.
Explanation:
While in other cases the kinetic energies of two objects that have different masses might be different depending on their velocities, in this case both the 3 kg book and 5 kg bowling ball have the same kinetic energy.
This is because kinetic energy is calculated using the formula: K = 1/2 * m * v^2, where m represents the mass and v represents the velocity of the object.
Since the book and the bowling ball are sitting still on the floor, their velocities are zero. Hence, when we plug in 0 for velocity into the equation for kinetic energy, we will get that the kinetic energy is 0 for the book and the bowling ball.
Hope this helps!
While Johın is traveling along a straight inter-
state highway, he notices that the mile marker
reads 257 km. John travels until he reaches
the 133 km marker and then retraces his path
to the 173 kmn marker.
What is.John's resultant displacement from
the 257 km märker?
Answer in units of km.
How far has he traveled?
Answer in units of km.
Answer:
Hey there!
He starts from km 257.
Then he travels to km 133.
Finally, he travels to km 173.
His displacement is 257-173, or 84 km.
He traveled 164 km. (Note that distance traveled and displacement are not the same thing.)
Let me know if this helps :)
John's resultant displacement from the 257 km märker would be 84 kilometers .
He traveled a distance of 164 kilometers on the highway.
What is displacement?An object's position changes if it moves in relation to a reference frame, such as when a passenger moves to the back of an airplane or a professor moves to the right in relation to a whiteboard.
As given in the problem, Johın is traveling along a straight inter-state highway, he notices that the mile marker reads 257 km. John travels until he reaches the 133 km marker and then retraces his path to the 173 km marker.
The total displacement of the John = 257 - 173
= 84 kilometers
the total distance traveled by John = (257-133) + (173-133)
= 164 kilometes
Thus, John's resultant displacement from the 257 km märker would be 84 kilometers.
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who is the current electric minister of Nepal?
i think "Barsaman Pun"
Explanation:
BARSAMAN PUN IS THE CURRENT ELECTRIC MINISTER OF NEPAL.
HOPE IT HELP.....❤❤☺An athlete runs some distance before taking a long jump. Why ?
An athlete runs before taking a long jump because they need to gather the strength to jump its like a person brain storming before they write an essay