The simple pendulum concept and rotational kinematics relationships allow finding the result for the velocity relationship
The shortest pendulum (w₁) has more speed than the longest pendulum (w₂)w₁ = [tex]\sqrt{2}[/tex] w₂
The simple harmonic movement is a periodic movement where the restoring force is proportional to the elongation, in the case of the simple pendulum it is fulfilled for angles less than 10º. The expression for motion is
θ = θ₀ cos ωt
ω² = g / l
the angular velocity is defined by
w = [tex]\frac{d \theta}{dt}[/tex]
w = - θ₀ ω sin ωt
Where θ₀ is the initial angle or amplitude, w is the angular velocity, t the time, g the acceleration of gravity and l the length of the pendulum
Let's find the angular velocity for each pendulum
ω ₁ = [tex]\sqrt{ \frac{g}{l_1} }[/tex]
Indicate that the second pendulum length is
l₂ = 2 l₁
ω₂ = [tex]\sqrt{\frac{g}{2l_1} }[/tex]
the pendulum speed is maximum at the lowest point of the trajectory that occurs when the sine function has its maximum value
w = θ₀ω
Suppose that the two pendulums are released with the same initial angle
Pendulum 1
w₁ = θ₀ [tex]\sqrt{\frac{g}{l_1} }[/tex]
Pendulum 2
w₂ = θ₀ [tex]\sqrt{\frac{g}{2l_1} }[/tex]
We look for the relationship between the two speeds
[tex]\frac{w_1}{w_2} = \sqrt{2}[/tex]
In conclusion, using the simple pendulum concept and the rotational kinematics relations we can find the result for the velocity relation
The shortest pendulum (w₁) has more speed than the longest pendulum (w₂)
w₁ = √2 w₂
Learn more here: brainly.com/question/24159297
How did the river cause the canyon to form?
Answer options with 4 options
A.
The motion of water compacted soil until it became sedimentary rock.
B.
The motion of water wore away and transported rock away from the area.
C.
The motion of water prevented rock layers from forming beneath the water.
D.
The motion of water prevented plants and animals from forming the land in the river bed.
Answer:
A
Explanation:
because the water carRies but also compacts
Why do atoms
have no electric charge even though most of
rticles have charges?
Please help I'll mark brainliest
Answer:
B. 5Ω
Explanation:
Equivalent resistance between point P and Q
= 3Ω + Tp
Total Parallel resistance, Tp
[tex] \frac{1}{Tp} = \frac{1}{12Ω} + \frac{1}{6Ω} + \frac{1}{4Ω} [/tex]
[tex]\frac{1}{Tp} = \frac{1}{12Ω} + \frac{2}{12Ω} + \frac{3}{12Ω} [/tex]
[tex]\frac{1}{Tp} = \frac{6}{12Ω}[/tex]
[tex]6(Tp) = 12Ω[/tex]
[tex]Tp = \frac{12Ω}{6} [/tex]
[tex]Tp = 2Ω[/tex]
Equivalent resistance between point P and Q
= 3Ω + 2Ω
= 5Ω
State whether these questions are true or false.
Q1) Distance formula is displacement/time T/F?
Q2)velocity formula is = displacement/time T/F?
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The given statements are :
Q1) Distance formula is displacement/time T/F?
- False
Q2)velocity formula is = displacement/time T/F?
- True
I need the right answer ASAP NO LINKS!!!
The first one!
Hope this helps pls mark as brainliest :)
Answer:
Models change to accommodate new discoveries.
Explanation:
Scientific models are based on current scientific knowledge. This means that when new discoveries are made they are subject to change.
A truck pulls a trailer on a flat stretch of road. The forces acting on the trailer are
the force due to gravity (250 000 N downward), the force exerted by the road
(250 000 N upward), and the force exerted by the cable connecting the wailer to
the truck (20 000 N to the right). The forces acting on the truck are the force due to
gravity (80 000 N downward), the force exerted by the road (80 000 N upward), the
force exerted by the cable (20 000 N to the left), and the force causing the truck to
move forward (26 400 N to the right).
The net vertical force on the trailer is 0, while the net horizontal force on the trailer is 20,000 N to the right.
The net vertical force on the truck is 0, while the net horizontal force on the truck is 6,400 N to the right.
The given parameters;
the trailer:
force on the trailer due to gravity, Fg = 250,000normal force on the trailer due to the road, N = 250,000 Nhorizontal force on the trailer, Fx = 20,000 N to the rightthe truck:
force on the truck due to gravity, Fg = 80,000 Nnormal force on the truck due to the road, N = 80,000 Nleft horizontal force on the truck, Fx = 20,000 Nright horizontal force on the truck, Fx = 26,400 NThe net force on each vehicle is calculated as follows;
for the trailer:
Net vertical force is calculated as;
[tex]\Sigma F_y = 250, 000 \ N - 250,000 \ N = 0[/tex]
Net horizontal force is calculated as;
[tex]\Sigma F_x = 20,000 \ N[/tex]
for the truck;
Net vertical force is calculated as;
[tex]\Sigma F_y =80,000 \ N - \ 80,000 \ N = 0[/tex]
Net horizontal force is calculated as;
[tex]\Sigma F_x = 26,400 \ N - \ 20,000 \ N = 6,400 \ N \ to \ the \ right[/tex]
"Your question is not complete, it seems to be missing the following information;"
find the net force on each vehicle.
Learn more here: https://brainly.com/question/14361879
If a 2kg block of copper is heated and a temperature increase of 50C is measured, how much energy has been provided?
Explanation:
Given : S=400Jkg
−1
C
−1
and L
f
=3.5×10
5
Jkg
−1
Mass of copper block m=2kg
Heat released by the copper block is equal to the heat gained by the ice to melt.
Let the mass of the ice melted be M.
Change in temperature of copper block ΔT=500−0=500
o
C
∴ mS(ΔT)=ML
f
Or 2×400×500=M×3.5×10
5
⟹ M=1.14kg
hope it help u
We have that If a 2kg block of copper is heated and a temperature increase of 50C is measured,the energy has been provided is
E=418KJ
From the question we are told
If a 2kg block of copper is heated and a temperature increase of 50C is measured, how much energy has been provided?
Generally the equation for the Energy is mathematically given as
[tex]E=mC(T_1-T_2)\\\\E=2*4180(50)\\\\E=418000J\\\\E=418KJ[/tex]
Therefore
If a 2kg block of copper is heated and a temperature increase of 50C is measured,the energy has been provided is
E=418KJ
For more information on this visit
https://brainly.com/question/23379286
Why is carbon-14 the best element to use for dating things?
Answer:
the radioactivity of carbon-14 DECAYS BY HALF.
Explanation:
1. A cross country skier averages 3.2 m/s over 9.1 km. How long did the skier's trip
take?
Answer:
your answer is 12.3
Explanation:
hope it helps : )
I want you to.......
Explain the Michelson-Morley experiment.
And please explain the equations.
Please ☺️❤️
Answer:
Michelson reasoned that, if the speed of light were constant with respect to the proposed ether through which Earth was moving, that motion could be detected by comparing the speed of light in the direction of Earth's motion and the speed of light at right angles to Earth's motion.
A toy car is pushed off a 1.2 meter tall table and lands 3 meters from the base of the table.
A. What was the initial horizontal velocity of the toy car?
B. How long did it take the toy car to hit the ground?
HOPE IT HELPS YOU
CAN YOU BRAINLEST ME
Answer:
w
Explanation:
w
Cuales son las propiedades de los materiales semiconductores de electricidad?
Answer:En general, los semiconductores son materiales, inorgánicos u orgánicos, que tienen la capacidad de controlar su conducción dependiendo de ...
Explanation:
PLZZZZZZ Help Due tmr
what kind of role can you play in your family and locality in terms of population education awareness
Answer:
I can suggest them by making different program about it and I will tell them the importance of less and productive population . Also tell them bad consensus of over population. I also give the technique of stopping over population.
A bicyclist brakes from 21.7 m/s to a stop in 32.3 m.
What is the acceleration of the bicyclist?
How much time does it take for the bicyclist to stop?
What is the bicyclist’s average speed?
The acceleration of the bicycle during the motion before stopping is 7.29 m/s².
The time taken for the bicycle to stop is 2.98 s.
The average speed of the bicycle is 10.83 m/s.
The given parameters;
initial velocity of the bicycle, u = 21.7 m/sdistance traveled by the bicycle, s = 32.3 mThe acceleration of the bicycle is calculated ad follows;
v² = u² + 2as
where;
v is the final velocity of the bicycle after stopping = 0
0 = u² + 2as
-2as = u²
[tex]a = -\frac{u^2}{2s} \\\\a = \frac{(21.7)^2}{2\times 32.3} \\\\a = -7.29 \ m/^2\\\\|a| = 7.29 \ m/s^2[/tex]
The time taken for the bicycle to stop is calculated as;
v = u + at
0 = 21.7 - 7.29t
7.29t = 21.7
[tex]t = \frac{21.7}{7.29} \\\\t = 2.98 \ s[/tex]
The average speed of the bicycle is calculated as;
[tex]v = \frac{totla \ distance}{total \ time} \\\\v = \frac{32.3}{2.98} \\\\v = 10.83 \ m/s[/tex]
Learn more here:https://brainly.com/question/16782759
im confused on number two can u help me through it
Hi there!
We can solve this in two ways, using the Work-Energy theorem or kinematics.
Work-Energy:
We know that:
Ei = Ef, as long as there are no external forces working on the system.
Thus:
Ei = PE = mgh
Ef = KE = 1/2mv²
Therefore:
mgh = 1/2mv²
We can cancel out the mass:
gh = 1/2v²
9.8(10) = 1/2v²
√196 = v = 14 m/s
We can also solve using kinematics, using the equation:
vf² = vi² + 2ad
From rest (vi = 0 m/s) and a = g, so:
vf² = 2gd
vf = √2gh
vf = √(2 × 9.8 × 10) = 14 m/s
9.) Why would a pendulum swing faster or slower on different planets?
how the x ray use the behavior and characteristics of the electromagnetic wave to function.
Answer:
How do X rays use electromagnetic waves to function?
X-rays are very high-frequency waves and carry a lot of energy. They will pass through most substances, making them useful in medicine and industry to see inside things. An X-ray machine works by firing a beam of electrons at a "target." If we fire the electrons with enough energy, X-rays will be produced.
Explanation:
if the distance is 207m what is the time
Answer:
That depends on your average speed and the number of stops you make. However, assuming you could average 55 miles per hour for the entire distance, your total driving time would be about 3 hours and 45 minutes.
Please help I'll mark brainliest
Help asap please thank you
Answer:
the answer its time
v = d/t
Answer:distance
Explanation:
An inductor is connected to a 24volts , 50 Hz main supply . If the current through the inductor is 1.5A , calculate the inductance of the inductor. ( Take π = 22/7 )
Explanation:
Correct Answer: Option D
Explanation
X L=V/I=24/1.5=16Ω
L = XL/2πf=16/2π50
= 0.05H
hope this helps you.
Answer:
Hello There!!
Explanation:
I believe the answer is=>5.1 x 10-2H
Here's the explanation:↬
•XL= V/I= 24/1.5= 16Ω
•L= XL/2πf= 16/2π50
So the answer is 0.05H.
hope this helps,have a great day!!
~Pinky~
What is the acceleration of a Ford Mustang GT that can go from 0.00 to 27.8
m/s in 5.15 seconds?
What is a common disease caused by a fungus?
A.
common cold
B.
HIV/AIDs
C.
athlete's foot
D.
pneumonia
If Ms. Ramirez drops a watermelon from the top of the second-floor fire escape outside her room, and it takes 1.5 seconds to hit the ground, calculate the velocity of the watermelon as it hits the ground.
The velocity of the watermelon as it hits the ground is 14.715 m/s.
Given the data in the question;
Since the Watermelon was dropped from rest,
Initial velocity of the Watermelon;[tex]u = 0m/s[/tex]Time taken for the Watermelon to hit the ground; [tex]t = 1.5s[/tex]We know that, Acceleration due to gravity; [tex]g = 9.81 m/s^2[/tex]Now, we determine the velocity of the watermelon as it hits the ground which is the final velocity.
From the First Equation of Motion:
[tex]v = u + at[/tex]
Now, under gravity, acceleration ''a" will Acceleration due to gravity;[tex]g = 9.81m/s^2[/tex], "v" is the final velocity, "u" is the initial velocity and "t" is the time taken.
So, we substitute our values into the equation
[tex]v = 0m/s\ +\ ( 9.81m/s^2\ * 1.5s )\\\\v = ( 9.81m/s^2\ * 1.5s )\\\\v = 14.715 m/s[/tex]
Therefore, the velocity of the watermelon as it hits the ground is 14.715 m/s
Learn more; https://brainly.com/question/13275688
Hai hạt bụi trong không khí cách nhau 3cm mỗi hạt mang điện tích -9,6.10 mũ -13C. A )Tính lực đẩy tĩnh điện giữa hai hạt
B ) tính số electrong dư trong mỗi hạt bụi biết diện tích củ mỗi electrong -1,6.10 mũ -19C
Answer:b
Explanation:
What is an uncharged body? In physics (simple words)
An uncharged body is a body that has equal magnitude of positive as well as negative charge on it. So as soon as some charged body is placed near it, the charged body induces negative charges on the uncharged body.
A 0.12 kg object makes an elastic head-on collision with a 0.18 kg stationary object. The final velocity of the 0.12 kg object after the collision is 0.048 m/s in the direction opposite its initial movement. The final velocity of the 0.18 kg object after the collision is 0.19 m/s in the same direction as the object which strikes it. What was the initial velocity of the 0.12 kg object?
Answer:
0.12kg / 0.19
Explanation:
Becase the volcity reuded
The final velocity of the 0.18 kg object after the collision is 0.19 m/s in the same direction as the object which strikes it, then the initial velocity of the 0.12 kg object would be 0.237 m / s .
What is momentum?It can be defined as the product of the mass and the speed of the particle, it represents the combined effect of mass and the speed of any particle, and the momentum of any particle is expressed in Kg m/s unit.
As given in the problem, a 0.12 kg object makes an elastic head-on collision with a 0.18 kg stationary object. The final velocity of the 0.12 kg object after the collision is 0.048 m/s in the direction opposite its initial movement. The final velocity of the 0.18 kg object after the collision is 0.19 m/s in the same direction as the object which strikes it.
By using the conservation of the momentum,
v × 0.12 + 0 × 0.18 = ( - 0.048)× 0.12 + 0.19 × 0.18
v = 0.237 m / s
Thus, the initial velocity of the 0.12 kg object would be 0.237 m / s .
To learn more about momentum from here, refer to the link given below ;
brainly.com/question/17662202
#SPJ2
A car accelerates uniformly in a straight
line from rest at the rate of 3.3 m/s^2
What is the speed of the car after it has
traveled 60 m?
h
Answer in units of m/s.
how Long does it take the car to travel 60m?
answer in units of s
Answer: see below
Explanation:
The intial speed is u=0[tex]\frac{m}{s}[/tex]
The acceleration is a= 3.3[tex]\frac{m}{s}^2[/tex]
The distance is s=60m
Apply the equation of motion
[tex]v^{2}[/tex]=[tex]u^{2}[/tex]+2as
So,
[tex]v^{2}[/tex]=0+2*3.3*60=396
v=[tex]\sqrt{396}[/tex] = 19.89 m/s ≈20 m/s
Applying the equation of motion
v=u+at
t= [tex]\frac{v-u}{a}[/tex] =[tex]\frac{19.89-0}{3.3}[/tex] = 6.02seconds
whats the kinetic energy please help me ive been stuck for a while
Answer:
k=1/2mv²
Explanation:
k is the kinetic energy
m is mass
and v is velocity/speed