Explanation:
It is given that,
Mass of a bungee jumper is 65 kg
The time period of the oscillation is 38 s, hitting a low point eight more times.It means its time period is
[tex]T=\dfrac{38}{8}\\\\T=4.75\ s[/tex]
After many oscillations, he finally comes to rest 25.0 m below the level of the bridge.
For an oscillating object, the time period is given by :
[tex]T=2\pi \sqrt{\dfrac{m}{k}}[/tex]
k = spring stiffness constant
So,
[tex]k=\dfrac{4\pi ^2m}{T^2}\\\\k=\dfrac{4\pi ^2\times 65}{(4.75)^2}\\\\k=113.43\ N/m[/tex]
When the cord is in air,
mg=kx
x = the extension in the cord
[tex]x=\dfrac{mg}{k}\\\\x=\dfrac{65\times 9.8}{113.6}\\\\x=5.6\ m[/tex]
So, the unstretched length of the bungee cord is equal to 25 m - 5.6 m = 19.4 m
The spring stiffness constant is 116.7 N/m and the the unstretched length of the bungee cord is 19.54 m.
The given parameters;
mass of the bungee jumper, m = 65 kgtime of motion, t = 38 sdistance to come to rest, d = 25 mThe period of oscillation of the bungee jumper is calculated as follows;
[tex]T = \frac{t}{n} \\\\T = \frac{38}{8} \\\\T = 4.75 \ s[/tex]
The spring stiffness constant is calculated as follows;
[tex]T = 2\pi \sqrt{\frac{m}{k} } \\\\\sqrt{\frac{m}{k} } = \frac{T}{2\pi} \\\\k = m \times \frac{T^2}{4\pi^2} \\\\k = 65 \times \frac{(4.75)^2}{4\pi ^2} \\\\k = 116.7 \ N/m[/tex]
The extension of the cord is calculated as follows;
[tex]F = kx\\\\mg = kx\\\\x = \frac{mg}{k} \\\\x = \frac{65 \times 9.8}{116.7} \\\\x = 5.46 \ m[/tex]
The unstretched length of the bungee cord is calculated as;
[tex]\Delta x = l_2-l_1\\\\l_1 = l_2 - \Delta x\\\\l_1 = 25 - 5.46\\\\l_1 = 19.54 \ m[/tex]
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What is an atmospheric window?
A. A region in the atmosphere where light can get through
B. A region in the atmosphere where infrared radiation can penetrate
C. A range of wavelengths of electromagnetic radiation which transmit through the Earth's atmosphere
D. A part of the upper atmosphere with depleted ozone
E. Only A and D above
Answer:
A
Explanation:
Because it is a region in atmosphere that allows an particular wavelength of EMWs to pass through and of the options above only visible light is allowed to pass through
Suppose you are designing an amplifier and loudspeaker system to use at a rock concert. You want to make it as loud as possible. How can you design the system to maximize the volume? Explain your answer?
Hi, I’m very confused by this question. Is it referring to the right hand rule to predict where the force and current will face?
Thanks for helping!
Answer is given below
Explanation:
Audio power amplifiers are found in all types of sound systems, including sound reinforcement, public address and home audio systems, as well as musical instrument amplifiers such as guitar amplifiers. This is the last electronic step in the general audio playback series before sending the signal to the loudspeaker. So when we want maximum volume or loud sound, we have to get it with maximum output and high input and low output impedanceFour different vehicles are shown. Assume that all four vehicles are traveling at the same speed on a highway. Which is true about the kinetic energy of the vehicles?
A. The motorcycle has the most kinetic energy because it has the least mass.
B. All of the vehicles have the same kinetic energy because they are moving at the same speed.
C. The delivery van has the greatest kinetic energy because its mass is greater than that of the other
vehicles.
D. The delivery van has the greatest kinetic energy because it has the most tires in contact with the
pavement.
Answer:
Option C. The delivery van has the greatest kinetic energy because its mass is greater than that of the other
vehicles.
Explanation:
Kinetic energy is the energy of an object in motion. Mathematically, it is expressed as:
K.E = ½mv²
Where:
K.E is the kinetic energy.
m is the mass of the object.
v is the velocity of the object.
From the formula above, we can say that:
Kinetic energy is directly proportional to the mass of the object and the square of the velocity of the object. This simply means that objects with higher mass will have a greater kinetic energy than objects will lighter mass even if their velocities are the same.
From the question given above, it is obvious that the delivery van has a greater mass than the rest object.
Therefore, the delivery van will have the greatest kinetic energy because its mass is greater than that of the other
vehicles.
A race car has a maximum speed of 0.104 km/s .What is this speed in miles per hour ?
Answer:
232.641374 mph
Explanation:
A race car has a maximum speed of 0.104km/s
Let X represent the speed in miles per hour
Therefore the speed in miles per hour can be calculated as follows
1 km/s = 2,236.936292 mph
0.104km/s = X
X = 0.104 × 2,236.936292
X = 232.641374
Hence the speed in miles per hour is 232.641374 mph
Speed of the car can be defined by the ratio of distance traveled by time elepsed. The speed of the given car is 233.212 miles/hr.
What is speed?
Speed can be defined by the change in position of an object in a given period of time.
[tex]\bold {Speed = \dfrac {Distance }{Time}}[/tex]
Given here,
The speed of the car is 0.104 km/s
Since 1 km = 0.621
So, 0.104 km = 0.0646
and 1 s = 0.000277
So, the speed of the car in miles per hour,
[tex]Speed = \dfrac {0.0646 \rm \ miles }{0.000277}\\\\ Speed =233.212 \rm \ miles/hr[/tex]
Therefore, the speed of the given car is 233.212 miles/hr.
Learn more about unit conversion:
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The Sun emits a ray of light with a wavelength of 550 nm.a. What is its frequency?b. The ray falls on a flat piece of quartz at an angle of 70º relative to the surface. The ray refracts to an angle of 76.46º relative to the surface. What is the index of refraction for quartz?c. What is the speed of light in quartz?
Answer:
Frequency of light = 5454.5 GHz
Refractive index = 1.46
speed of light in quartz = 2.05 x 10^8 m/s
Explanation:
The wavelength of the light λ = 550 nm = 550 x 10^-9 m
frequency = ?
Frequency of light f = c/λ
where
c is the speed of light = 3 x 10^8 m/s
substituting, we have
f = (3 x 10^8)/(550 x 10^-9)
frequency f = 5.4545 x 10^14 Hz
==> 5454.5 GHz
The relationship between refractive index is given as
n1 sinθ1 = n2 sinθ2
where
n1 is the refractive index of air = 1
θ1 is the angle of incidence = (90 -70) = 20°
θ2 is the angle of refraction = (90 - 76.46) = 13.54°
n2 is the refractive index of quartz
substituting values, we have
1 x sin 20 = n2 x sin 13.54
0.3420 = n2 x 0.2341
refractive index of quartz n2 = 0.3420/0.2341 = 1.46
From n = c/v
where
n is the refractive index of quartz
c is the speed of light in air = 3 x 10^8 m/s
v is the speed of light in quartz = ?
substituting values, we have
1.46 = (3 x 10^8)/v
v = (3 x 10^8)/1.46 = 2.05 x 10^8 m/s
The planet in our solar system whose orbit actually brings it inside the orbit of another planet is
A. Pluto
B. Mercury
C. Mars
D. Neptune
E. Earth
Answer:
Pluto
Explanation:
In our solar system, we have several planet. Pluto is one of the. Pluto is a planet that is highly oval shaped orbit and eccentric that brings it inside the another orbit. It get inside the orbit of Neptune. Sometimes even Neptune get far away from sun in comparison to the dwarf planet Pluto.
It is very strange happening in the world of planet. it occurs in the year of 1979 and 1999. But Pluto never ever crashed into Neptune. It happen because Neptune takes every three lapse that takes around the sun but Pluto makes only two lapse. This happening prevents two bodies from clashes.
The inhabitants of a small island begin exporting beautiful clothmade from a rare plant that grows only on their island. Seeing howpopular the small quantity that they export has been, they steadilyraise their prices. A clothing maker from New York, thinking thathe can save money by "cutting out the middleman," decides to travelto the small island and buy the cloth himself. Ignorant of thelocal custom of offering strangers outrageous prices and thennegotiating down, the clothing maker accepts (much to everyone'ssurprise) the initial price of 400 tepizes/m^2. The price of thiscloth in New York is 120 dollars/yard^2.If the clothing maker bought 500m^2 of this fabric, how muchmoney did he lose? Use = 0.625Express your answer in dollars tothree significant figures.
Answer:
Lost Money = $ 53200
Explanation:
First, we calculate the selling price of the cloth:
Selling Price = (Area of Bought Fabric)(Unit Price in America)
Selling Price = (500 m²)($ 120/yard²)(1 yard/0.9144 m)²
Selling Price = $ 71759.4
Now, we calculate the amount that the cloth maker paid (cost) for buying the fabric from America:
Cost = (Area of Fabric Bought)(Unit Selling Price)
Cost = (500 m²)(400 tepizes/ m²)($ 0.625/1 tepize)
Cost = $ 125000
Hence, the money lost is given as:
Lost Money = Cost - Selling Price
Lost Money = $ 125000 - $ 71759.4
Lost Money = $ 53240
Rounding off to 3 significant figures, we get:
Lost Money = $ 53200
How many planets are there?
Answer:
There are eight planets in our Solar System.
Explanation:
Answer:
8
Explanation:
Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, Neptune
The work done when a force moves a body through a distance of 15m is 1800j. What is the value of the force applied
Answer:
120 Newtons.
Explanation:
Work(Joules) = Force(Newtons) × Distance(Meters)
If we need to find the Force, the equation changes.
To find Force, you have to divide the Work done from the Distance. Have a look at the picture above.
As an object in motion becomes heavier, its kinetic energy _____. A. increases exponentially B. decreases exponentially C. increases proportionally D. decreases proportionally
Answer:
c
Explanation:
Which elements are found in all four components of Earth?
Answer:
oxygen silicon aluminun iron
Based on these units, select any of the following expressions that could be valid expressions?v=a/tt=3√d2/vad=ata=d/t2a=√vd/t3v=at
Answer:
Valid Expressions are; t = ∛(d²/va), a = d/t², a = √(vd/t³), v = at
while the Invalid expressions are; v = a/t and d = at
Explanation:
Given expressions
1) v = a/t
2) t = ∛(d²/va)
3) d = at
4) a = d/t²
5) a = √(vd/t³)
6) v = at
First we get our units of parameters
V = m/s, t = sec, d = m, a = m/s²
so
1)
v = a/t
we substitute in our units of parameters
v = m/s² / s = m/s² × 1/s = m/s³
v ≠ m/s³
therefore it is false
2)
t = ∛(d²/va)
we substitute
t = ∛(m² / m/s × m/s²)
t = ∛(m² / m²/s³)
t = ∛(s³)
t = s
correct, the expression is true
3)
d = at
we substitute
d = m/s² × s
d = m/s² × s/1 = ms/s² = m/s
d ≠ m/s (because d = m)
so expression is false
4)
a = d/t²
we substitute
a = m / s² = m/s²
correct
the expression is true
5)
a = √(vd/t³)
we substitute
a = √(m/s×m / s³) = √(m²/s / s³) = √(m²/s × 1/s³) = √(m²/s⁴) = m/s²
so a = m/s²
correct
the expression is true
6)
v = at
we substitute in the units
v = m/s² × s = m/s² ×s/1 = ms/s² = m/s
v = m/s
correct
the expression is correct
Calculate the speed for a car that went a distance of 125 miles in 2 hours time.
Answer:
65 miles per hour
Explanation:
Speed= Distance/Time
Following this formula, we just need to insert the values.
The distance is 125 miles and the time is 2 hours
125=2=65
65 miles per hour
The speed of the car was exactly 125 mi per 2 hours.
In a more familiar unit, 125mi/2hr = 62.5 mi/hr.
A certain electromagnetic wave traveling in seawater was observed to have an amplitude of 98.02 (V/m) at a depth of 10 m, and an amplitude of 81.87 (V/m) at a depth of 100 m. What is the attenuation constant of seawater
Answer:
The value is [tex]\alpha = 0.002 Np/m[/tex]
Explanation:
From the question we are told that
The first amplitude of the wave is [tex]E_{max}1 = 98.02 \ V/m[/tex]
The first depth is [tex]D_1 = 10 \ m[/tex]
The second amplitude is [tex]E_{max}2 = 81.87 \ (V/m)[/tex]
The second depth is [tex]D_2 = 100 \ m[/tex]
Generally from the spatial wave equation we have
[tex]v(x) = Ae^{-\alpha d}cos(\beta x + \phi_o)[/tex]
=> [tex]\frac{v(x)}{v(x)} =\frac{ Ae^{-\alpha d}cos(\beta x + \phi_o)}{ Ae^{-\alpha d}cos(\beta x + \phi_o)}[/tex]
So considering the ratio of the equation for the two depth
[tex]\frac{A}{A_S} = \frac{e^{-D_1 \alpha }}{e^{-D_2 \alpha }}[/tex]
=> [tex]\frac{98.02}{81.87} = \frac{e^{-10 \alpha }}{e^{-100 \alpha }}[/tex]
=> [tex]\alpha = \frac{0.18}{90}[/tex]
=> [tex]\alpha = 0.002 Np/m[/tex]
Usted coloca un recipiente con de mar sobre una bascula y toma nota de la lectura que indica la báscula . Ahora usted suspende la estatua del ejemplo 14.5 en el agua ( figura 14.18 ). Cómo cambia la lectura de la bascula ? ) Se incrementa en 7.84 N; ii) disminuye en 7.84 N: ) permanece igual: ) ninguna de las respuestas anteriores es correcta . cambia la lectura de la báscula cuando la estatua se sumerge en el agua?
Answer:
t the apparent weight of the body decreases when it is submerged in water,
F'_{e} = mg - ρ_liquid g V
Explanation:
When a container is placed on a scale it falls due to the weight of the body and the needle attached to the spring shows the value of the weight that is proportional to the displacement of the spring.
When the body is immersed in a container with water, it exerts a push on the body, so its apparent weight decreases and the compression of the scale is less, therefore it indicates a smaller weight of the body.
Let's write the equilibrium equation for the body is placed on the scale without water
[tex]F_{e}[/tex] - W = 0
F_{e} = W
Let us propose the equilibrium equation for this case
F'_{e} + B - W = 0
where F'_{e} is the elastic force, B the push of the liquid and W the weight of the body
F'_{e} = W -B
The thrust of the liquid is given by the Archimedean principle which says that it is equal to the weight of the dislodged liquid
B = ρ g V
F'_{e} = mg - ρ_liquid g V (1)
we use the density concept
ρ_body = m / V
we substitute
F'_{e}= g V (ρ_body - ρ_agua) (2)
F'_{e} < F_{e}
We see from expression is 1 and 2 that the apparent weight of the body decreases when it is submerged in water,
To know the specific value of the decrease, the weight of the body in the air or its density and volume must be known
2. If you are driving at a constant velocity of 5 m/s what is your
acceleration?
For a circuit find the total potential differences if two resistors
of resistance R1 and R2 respectively kept series wise for a
current I passing through it.
-- If the two resistors are connected in series, then they behave like a single resistor whose resistance is (R₁ + R₂) ohms.
-- For any resistance, the potential difference (volts) across the resistance is V = (current) x (resistance) .
-- So in THIS circuit, V = I x (R₁ + R₂) .
If you move for 4 seconds, and travel a distance of 360 meters, how fast were you going?
Answer:
90 m/s
Explanation:
Time taken = 4 sec
Distance travelled = 360 m
Speed = Distance / Time = 360/4 = 90 m/s
Distance travelled = 360m
Time taken = 4s
We have to find speed[tex].[/tex]
_________________________________
◈ Speed is defined as the ratio of distance travelled to the timr taken.
SI unit : m/s
➝ Speed = Distance / Time
➝ Speed = 360/4
➝ Speed = 90m/s
Scientists repeat experimental findings in order to:__________.
A) improve upon experimental design.
B) eliminate unseen errors.
C) both A and B
D) neither A nor B
Answer:
neither A nor B
Explanation:
There are a lot of reasons, quite handful of them. About why scientists repeat experiments.
They do so sometimes to persistently verify the results they have gotten. Another reason is so as to be able to study and improve them in other ways.
This is just 2 of the very many reasons why scientists repeat experiments. Remember the popular saying, that practice makes perfect? yeah, that's just it
I hope you understand. Thanks
separating paper from a mixture by burning it is it a physical change true or false
Answer:
false
Explanation:
burning something is a chemical change
What is the approximate height of the average adult in centimeters?a. 100b. 200c. 300
Answer:
Option B
200 cm
Explanation:
From statistical evidence, the average height of an adult is about 200cm. This is like 2m or 6.56 feet.
Despite the fact that there are some exceptions; with some adults reaching heights of about seven feet, and some dwarfs who stand only about 1 m tall, most adults only grow to about 200cm in height before they start shrinking due to old age.
1. What does the horizontal axis ordinarily measure on an oscilloscope?
2. What frequency should the function generator be set to if period of 25 us is a desired?
3. If a resistor has the color combination of yellow-violet-red-gold, what is the range of acceptable values of resistance?
4. Given that the voltage from a wall outlet is AC, if you digital multimeter to measure the wall outlet voltage to be 120 V, what is the maximum voltage level provided by the wall outlet
Answer:
1. OK the
1. The horizontal axis of a osclloscope is generally TIME axis.
2. given T =25 micro second
That is = 25E-6 s
Then We f = (1/T) .
So f = 1/(25 x 10^-6) = 40000 Hz =
40 KHz.
3. First Band will be Yellow
Second Band will be Violet
Third Band will be Red
And
Fourth Band will be Gold
Thus, the value of the resistance = (47 x 100)plus or minus 5%
= (4700 plus or minua5%) ohm
the range of the acceptable value of the resistance will now be
= 4465 ohm to 4935 ohm
(4)
The level provided by the wall outlet = 120 x √2 = 169.68 V
The √2 is because the multimeter measures RMS voltage rather than peak voltage and
RMS Voltage is = √2 x peak voltage
a battery of 6v is connected in series with resistors of 0.1 ohm, 0.15 ohm, 0.2 ohm, 0.25 ohm and 6 ohm. how much current would flow through 0.2 ohm resistors
Answer:
0.9 Amps
Explanation:
Ohm's law: Voltage = Current x Resistance
Rearrange equation:
Current =Voltage/Resistance
Voltage=6v
In a series circuit the total resistance is the sum of all the resistors so the total resistance = 0.1+0.15+0.2+0.25+6=6.7 Ohms
6/6.7 = 0.9 (1dp) Amps
Because it is a series circuit, the current is the same throughout the entire circuit, all the resistors have a current of 0.9 Amps.
Hope this helped!
A ball is thrown upward with a speed of 28.2 m/s.A. What is its maximum height?B. How long is the ball in the air?C. When does the ball have a speed of 12m/s?
Answer:
(A) The maximum height of the ball is 40.57 m
(B) Time spent by the ball on air is 5.76 s
(C) at 33.23 m the speed will be 12 m/s
Explanation:
Given;
initial velocity of the ball, u = 28.2 m/s
(A) The maximum height
At maximum height, the final velocity, v = 0
v² = u² -2gh
u² = 2gh
[tex]h = \frac{u^2}{2g}\\\\h = \frac{(28.2)^2}{2*9.8}\\\\h = 40.57 \ m[/tex]
(B) Time spent by the ball on air
Time of flight = Time to reach maximum height + time to hit ground.
Time to reach maximum height = time to hit ground.
Time to reach maximum height is given by;
v = u - gt
u = gt
[tex]t = \frac{u}{g}[/tex]
Time of flight, T = 2t
[tex]T = \frac{2u}{g}\\\\ T = \frac{2*28.2}{9.8}\\\\ T = 5.76 \ s[/tex]
(C) the position of the ball at 12 m/s
As the ball moves upwards, the speed drops, then the height of the ball when the speed drops to 12m/s will be calculated by applying the equation below.
v² = u² - 2gh
12² = 28.2² - 2(9.8)h
12² - 28.2² = - 2(9.8)h
-651.24 = -19.6h
h = 651.24 / 19.6
h = 33.23 m
Thus, at 33.23 m the speed will be 12 m/s
By how many orders of magnitude is the distance to the nearest stars greater than the orbital radius of Neptune
What is a chemical change?
A linear accelerator uses alternating electric fields to accelerate electrons to close to the speed of light. A small number of the electrons collide with a target, but a large majority pass through the target and impact a beam dump at the end of the accelerator. In one experiment the beam dump measured charge accumulating at a rate of -2.0 nC/s. How many electrons traveled down the accelerator during the 2.0 h run
Answer:i
9E13 ELECTRONS
Explanation:
First we find the number of charges in two hrs
Which is - 2x 7200=- 14400NC
So no of electrons is now q/e
-144x10^-7/-1.6*10^-19
= 9*10^13
Which law of motion is this an example of? Newton's 1st 2nd or 3rd law?
Answer:
May be it is first law of motion.A major advantage of case studies is ________.
Choose the correct definition of angular momentum.
the product of the object’s moment of inertia and the object’s angular velocity
the product of the object’s momentum and the object’s angular velocity
the product of the object’s momentum and the object’s moment of inertia
the product of the object’s momentum and the object’s angle through space
The answer is "the product of the object's moment of inertia and the object's angular velocity.
The correct definition of angular momentum would be that it is the product of the object’s moment of inertia and the object’s angular velocity, therefore the correct answer is option A.
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 we have to find the correct definition of angular momentum,
The angular momentum of the object = the moment of the inertia of the object × the angular velocity of the particle
The right response is option A since the definition of angular momentum is that it is the product of an object's moment of inertia and its angular velocity.
To learn more about momentum from here, refer to the link given below ;
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