Answer:
T₀ = 2π [tex]\sqrt{\frac{m}{k} }[/tex] T = [tex]\sqrt{\frac{5}{6} }[/tex] T₀
Explanation:
When the block is oscillating it forms a simple harmonic motion, which in the case of a spring and a mass has an angular velocity
w = [tex]\sqrt{k/m}[/tex]
To apply this formula to our case, let's look for the equivalent constant of the springs.
Let's start with the springs in parallels.
* the three springs in the upper part, when stretched, lengthen the same distance, therefore the total force is
F_total = F₁ + F₂ + F₃
the springs fulfill Hooke's law and indicate that the spring constant is the same for all three,
F_total = - k x - k x - kx = -3k x
therefore the equivalent constant for the combination of the springs at the top is
k₁ = 3 k
* the two springs at the bottom
following the same reasoning the force at the bottom is
F_total2 = - 2 k x
the equivalent constant at the bottom is
k₂ = 2 k
now let's work the two springs are equivalent that are in series
the top spring is stretched by an amount x₁ and the bottom spring is stretched x₂
x₂ = x -x₁
x₂ + x₁ = x
if we consider that the springs have no masses we can use Hooke's law
[tex]-\frac{F_{1} }{k_{1} } - \frac{F_{2}}{k_{2} } = \frac{F}{k_{eq} }[/tex]
therefore the equivalent constant is the series combination is
[tex]\frac{1}{k_{eq} } = \frac{1}{k_{1} } + \frac{1}{k_{2} }[/tex]
we substitute the values
\frac{1}{k_{eq} } = \frac{1}{3k } + \frac{1}{2k }
\frac{1}{k_{eq} } = \frac{5}{6k} }
k_eq = [tex]\frac{6k}{5}[/tex]
therefore the angular velocity is
w = [tex]\sqrt{\frac{6k}{5m} }[/tex]
angular velocity, frequency, and period are related
w = 2π f = 2π / T
T = 2π / w
T = 2π [tex]\sqrt{\frac{5m}{6k} }[/tex]
T₀ = 2π [tex]\sqrt{\frac{m}{k} }[/tex]
T = [tex]\sqrt{\frac{5}{6} }[/tex] T₀
A person lifts a heavy load to a vertical height of 2.0 m in 3 seconds. If he/she had done this more slowly in 6 seconds, the
work on the load would have been:
Four times as great
half as great
the same
twice as great
Answer:
If the heavy load had been lifted more slowly, the work done on the load would have been the same.
Explanation:
Work done on an object is given as;
W = Fd
where;
F is the force applied on the object
d is the displacement of the object
for the given question, the applied force on the load = mg (mass of the load multiplied by acceleration due to gravity).
Also, the displacement of the object = vertical height the load was lifted.
W = mgh
The work done on the load is independent of time.
Thus, if the heavy load had been lifted more slowly, the work done on the load would have been the same.
A person lifting a heavy load to a vertical height of 2.0 m in 3 seconds does the same work as if he/she lifts it in 6 s.
A person lifts a heavy load to a vertical height of 2.0 m in 3 seconds.
We want to compare the work done with the one that he/she would have done if the process had taken 6 seconds.
What is work?In physics, work (W) is the energy transferred to or from an object via the application of force (F) along a displacement (s).
W = F × s
Given the displacement is the same (2.0 m) and the force needed is also the same (weight of the object), the work is the same for both processes.
A person lifting a heavy load to a vertical height of 2.0 m in 3 seconds does the same work as if he/she lifts it in 6 s.
Learn more about work here: https://brainly.com/question/25064916
2 benefits of yoga with explanation
4) Which of the following is NOT true about lysozyme:
A) it destroys bacteria
B) it cleanses and protects the eye
C) it is an enzyme
D) it is found in tears
E) it stimulates the rods and cones
An inductor with an inductance of .5 henrys (H) is to be connected to a 60 Hz circuit. What will the inductive reactance (X L) be
Answer:
1885.2 ohms
Explanation:
Step one:
given data
L=5H
f=60Hz
Required
The inductive reactance of the inductor
Step two:
Applying the expression
XL= 2πfL
substitute
XL=2*3.142*60*5
XL=1885.2 ohms
Which type of physical activity is being performed in the picture?
A.
cardiovascular
B.
strength training
C.
flexibility
D.
cross training
Reset Next
The metal wire is stretched so that its cross-section is still circular but its total length is now 10 meters. What is the resistance of the wire after stretching
Will give brainliest if correct
Please help
Answer:
85.45
Divide 4,700/55
So C.
Answer:
C.85
Explanation:
Use the equation:
v= fλ ( v=wave speed, f= frequency, λ= wavelength)
4700= 55×λ
λ=4700÷55 =85.45 =85(approximately)
Ben runs from a position 3 m west of Main Street to a new position 45 m
west of Main Street in 6 seconds. What is Ben's velocity?
O
A. 7 m/s east
B. 7 m/s west
C. 8 m/s west
O
O
D. 8 m/s east
SUBMIT
Answer:
Option B. 7 m/s West.
Explanation:
From the question given above, the following data were obtained:
Position 1 (P₁) = 3 m West
Position 2 (P₂) = 45 m West
Time (t) = 6 s
Velocity (v) =?
Next, we shall determine the displacement of Ben. This can be obtained as follow:
Position 1 (P₁) = 3 m West
Position 2 (P₂) = 45 m West
Displacement =?
Displacement = P₂ – P₁
Displacement = 45 – 3
Displacement = 42 m West
Finally, we shall determine the velocity of Ben. This can be obtained as follow:
Time (t) = 6 s
Displacement (d) = 42 m West
Velocity (v) =?
v = d/t
v = 42 m West / 6 s
v = 7 m/s West
Thus the velocity of Ben is 7 m/s West
A 0.53 kg arrow leaves a bowstring at a velocity of 63 m/s. If the arrow was initially at rest and then the string applied a force on it for 7 x 10-3 seconds, what was the approximate average force in Newtons that acted on the arrow during this time?
Answer:
4770 N
Explanation:
Momentum is the product of mass and velocity and force is the change in momentum divided by change in time.
Given from the question;
Mass of arrow= 0.53 kg
Velocity of arrow = 63 m/s
Initial velocity of arrow = 0 m/s
Change in time = 0.007 s
Finding momentum after the arrow is released as;
p=m*v
p= 0.53 * 63
p= 33.39 kg*m/s
Force is the change in momentum divided by change in time;
F= 33.39 / 0.007
F= 4770 N
local AM radio station broadcasts at a frequency of 685.9 kHz. Calculate the wavelength at which they are broadcasting. Wavelength
Answer:
λ = 437 m.
Explanation:
Since a radio wave is a electromagnetic type of wave, it propagates approximately at the same speed of light in vacuum, 3*10⁸ m/s.As in any wave, there exist a fixed relationship between the propagation speed, the wavelength and the frequency of the radio wave, as follows:[tex]c = \lambda* f (1)[/tex]
Replacing by the values of the speed and the frequency, and solving for the wavelength λ, we get:[tex]\lambda = \frac{c}{f} =\frac{3e8 m/s}{685.9e31/s} =437 m (2)[/tex]
fill in the blank:
the more people (greater mass) you load into a car, the ___ (more or less) it will accelerate with the same force applied by the engine.
the more people (greater mass) you load into a car, the more it will accelerate with the same force applied by the engine.
Rogue waves in the ocean were considered a myth for a very long time, fanciful and fabricated tales of fishermen too long in the sun and on the sea. What basic physics mechanism provides an explanation of their existence
Answer:
D. Constructive Interference of waves
Explanation:
Rogue waves occur when wave forms arrive suddenly in oceans, thus causing ships to sink within a very short time. The explanation scientists have for this is constructive interference magnified by second-order bound non-linearities. Waves are meant to arrive in a particular direction. During constructive interference, these waves arrive from different directions and in an organized way thus increasing the height of the wave.
This increased height is as a result of the waves not being in a linear form and having sharp peaks. There is also a significant difference between the crests and troughs. Scientists arrived at this explanation for the rogue waves though three experiments conducted in 1997, 2007, and 2015.
A constant net force of 345 N is applied to slide a heavy stationary
couch across the floor. If the force is contact with the couch for 1.5 seconds,
then what is the change in momentum of the couch
Answer:
P = 517.5 [kg*m/s]
Explanation:
We must remember that momentum is defined as the product of force by the time of force duration.
[tex]P=F*t[/tex]
where:
P = momentum [kg*m/s]
F = force [N]
t = time [s]
[tex]P=345*1.5\\P=517.5[kg*m/s][/tex]
Does a basketball, baseball, tennis ball, or marble MOST LIKELY have the smallest volume?
Answer: tennis ball
Explanation:
What do C-microwaves reveal to scientists?
Answer:
Different wavelengths of microwaves (grouped into "sub-bands") provide different information to scientists. Medium-length (C-band) microwaves penetrate through clouds, dust, smoke, snow, and rain to reveal the Earth's surface.
A 0.41kg football that is initially at rest acquires a velocity of 35m/s when it is kicked. If the kicker's boot remains in contact with the ball for 0.08s, what is the average force of the kick?
Answer:
F = 318.88[N]
Explanation:
This problem can be solved by the principle of momentum conservation, which tells us that momentum is preserved before and after kicking the ball.
In this way, we can construct the following equation.
[tex]F*t=m*v[/tex]
where:
F = force [N]
t = time = 0.08 [s]
m = mass = 0.41 [kg]
v = velocity [m/s]
[tex]F*0.045=0.41*35\\F=318.88[N][/tex]
a tennis ball rolls horizontally to the left for 30 m at a constant speed. what is the velocity after 15 seconds? what is the speed?
**PLEASE HELP - for physics, list variables
A 1248 kg car is pulled by a tow truck that has an acceleration of 2.0 m/s2. What is the
net force on the car?
Answer: = 2,496 N
Explanation:
Force is the push or pull on an object and it is calculated as:
= Mass * Acceleration
= 1,248 * 2.0
= 2,496 N
a suspension bridge cable is connected to its anchor at a 20 degree angle. calculate the vertical component force on the anchor by the cable.
The question is missing some parts. Here is the complete question.
A suspension bridge cable is connected to its anchor at a 20° angle. Find the vertical and horizontal component of the force on the anchor by the cable.
Answer: [tex]F_{x}=[/tex] 14095.4 N
[tex]F_{y}=[/tex] 5130.3 N
Explanation: The force applied to the anchor is not perpendicular to the horizontal plane. So, it can be decomposed into 2 components: a vertical component, which is on the y-axis, and a horizontal component, which is on the x-axis.
The force and its components forms a right triangle, so we can calculate the components by using trigonometric relations:
Horizontal
[tex]cos(20)=\frac{F_{x}}{F}[/tex]
[tex]F_{x}=F.cos(20)[/tex]
[tex]F_{x}=15,000(0.9397)[/tex]
[tex]F_{x}=[/tex] 14,095.4 N
Vertical
[tex]sin(20)=\frac{F_{y}}{F}[/tex]
[tex]F_{y}=Fsin(20)[/tex]
[tex]F_{y}=[/tex] 15,000(0.3420)
[tex]F_{y}=[/tex] 5,130.3 N
The vertical and horizontal components of force on the anchor by the cable are 5130.3 N and 14095.4 N, respectively.
14. After finishing her homework, Sue climbs up a 5.00 m high flight of stairs to her bedroom
Find the magnitude of Sue's weight
and how much
work Sue does in climbing the stairs if she
has a mass of 50.0 kg? (4.90 x 2 N, 2450J)
Explanation:
Given parameters:
Height = 5m
Mass of Sue = 50kg
Unknown:
Magnitude of Sue's weight = ?
Work done by Sue = ?
Solution:
Weight is the vertical force exerted by a body in the presence of gravity.
Mathematically;
W = mg
m is the mass
g is the acceleration due to gravity = 9.8m/s²
Weight = 50 x 9.8 = 490N
Work done = Force x distance = weight x height
Work done = 490 x 5 = 2450J
Food Chain: is a sequence of feeding relationships which describes which organism eats another.
● The Direction of the arrow in a food chain means:_____________________
Answer:
Naruto usamaki is the greatest hokagey in the leaf village
Explanation:
I took the test on edge
What purpose of government is shown in the First Amendment?
They guarantee rights of individuals.
They help people cooperate
They limit the rights of individuals
They provide services
Answer:
i think its They Guarantee rights of individuals
Explanation:
Answer:
To guarantee freedoms
Explanation:
Took the test
explain why ionizing radiation is dangerous?
Answer:
When the dose is high enough, ionizing radiation causes two types of harm to humans: direct tissue damage and cancer. Direct tissue damage happens when enough molecules are broken apart that the cells simply can no longer function. This can lead to radiation burns, radiation sickness, organ failure, and even death.
What are your ideas about why you cannot see three different colors?
Answer:
Because humans possess these three types of cones, they are described as trichromats (tri = 3, chroma = color). ... The perception of color is not simply a matter of wavelength detection, as it involves various stages of neuronal processing
A woman holds a frozen smoothie in her hand on a warm
day.
Which photo shows the direction of thermal energy transfer?
O A.↕️
B
C ⬆️
D⬇️
Answer:
C
Explanation:
The thermal energy from her hand will go up into the smoothie.
Answer:
C bois
Explanation:
Select all the correct answers.
Bella is writing a research paper on ocean currents. Which two sources should she consult?
an article published by a university or a government agency
an article from a website containing advertisements
an article published in 2015 and updated a week ago
an article appearing in the blog post of a teenage surfer
an article that does not state the author’s name and details
Answer: I belive the answer is
an article published by a university or a government agency and an article published in 2015 and updated a week ago
A person holds onto an object for 2 minutes but doesn't move the object. Is work done
on the object?
Answer:
No
Explanation:
What is the standard form for 2 × 10−3 ?
Answer:
17
Explanation:
2 x 10 = 20
20-3 = 17
A 20-cm-long rod with a diameter of 0.250 cm is loaded with a 5000 N
weight. If the diameter decreases to 0.210 cm, determine (i) the
engineering stress and strain at this load and (ii) the true stress and strain
at this load
Answer: the answer is 19cm
Explanation:
how much does a dog of 10kg mass weigh in newtons?
Answer:
98.0665 newtons
have a good day :]