Answer:
The appropriate alternative is Option B (0.105 sec.).
Explanation:
The given values are:
Elastic modulus,
Y = 9.10 × 10¹⁰ N/m²
Mass,
m = 10.0 kg
Length of rod,
l = 2.00 m
Diameter,
d = 1.00 mm
Now,
⇒ [tex]Keq=\frac{AY}{l}= \frac{\pi D^2 Y}{4l}[/tex]
On substituting the values, we get
⇒ [tex]=\frac{\pi \times 10^{-6}\times 9.1\times 10^{10}}{4\times 2}[/tex]
⇒ [tex]=3.574\times 10^4[/tex]
The time period will be:
⇒ [tex]T=2\pi \sqrt{\frac{m}{Keq} }[/tex]
On substituting the above values, we get
⇒ [tex]=2\pi \sqrt{\frac{10}{3.574\times 10^4}}[/tex]
⇒ [tex]=0.105 \ seconds[/tex]
The time period resulting oscillations will be 0.1005 seconds.
What is the time period of oscillation?The period is the amount of time it takes for a particle to perform one full oscillation. T is the symbol for it. Taking the reciprocal of the frequency yields the frequency of the oscillation.
The given data in the problem is;
[tex]\rm \gamma[/tex] is the elastic modulus=9.10 × 10¹⁰ N/m²
m is the mass= 10.0 kg
l is the length of brass rod= 2.00 m
d is the diameter of 1.00 mm
The value of the equivalent stiffness will be;
[tex]\rm K_{eq}= \frac{AY}{l}\\\\ \rm K_{eq}= = \frac{\pi d^2 Y}{4l} \\\\ \rm K_{eq}=\frac{3.14 \times 10^{-6}\times 9.1 \times 10^{10} }{4\times 2 } \\\\ \rm K_{eq}= 3.574 \times 10^4[/tex]
The time period of the oscillation is given by;
[tex]\rm T = 2 \pi \sqrt{\frac{m}{k_{eq}} } \\\\ \rm T = 2 \times 3.14 \sqrt{\frac{10}{3.574 \times 10^4}[/tex]
[tex]\rm T = 0.105 \ sec[/tex]
Hence the time period resulting oscillations will be 0.1005 seconds.
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Kinematics:Question 2
We are accelerating whenever we are?
Morgan does 50 J of work with a lever
that has an efficiency of 92%. What is
the output work of the lever?
Answer:
46 J
Explanation:
Simply calculate the 92% of 50 Joules as:
0.92 * 50 J = 46 J
In a vacuum, a 74 gram feather will fall to the Earth at the same rate (acceleration) as a 7.26 kg bowling ball. Which one will hit the ground first? Then use Newton’s 2nd Law of Motion to explain which object (the feather or the bowling ball) experiences a greater force due to gravity.
Answer:
We know that both objects fall at with the same acceleration, let's define that acceleration as g = 9.8m/s^2
Then the acceleration of both objects will be:
A(t) = -9.8m/s^2
Where the minus sign is because the gravity pulls the objects down.
Now, to get the velocity of the objects, we integrate over time, and get:
V(t) = (-9.8m/s^2)*t + v0
Where V0 is the initial velocity of the objects, because we do not have information about this, we can assume that both objects have the same value of V0, so for now, the movement equations are the same for both of them
To get the position we integrate again over time and get:
P(t) = (1/2)*(-9.8m/s^2)*t^2 + v0*t + P0
Where P0 is the initial position and same as above, we can assume that is the same for both objects.
Then both objects have the same motion equations, and the mass does not appear in any of them, then we can conclude that they will hit the ground at exactly the same time, because their motion equations are exactly the same.
B) By Newton's second law we know that:
F = m*a
Force equals mass times acceleration.
We know that both objects suffer the same acceleration, 9.8m/s^2
Then the force for the feather will be:
(remember that 1kg = 1000g, then 74g = (74/1000) kg = 0.074kg)
F = 0.074kg*9.8m/s^2 = 0.7252 N
And for the bowling ball will be:
F = 7.26kg*9.8m/s^2 = 71.148 N
Then you can see that the bowling ball experiences a greater force.
A horizontal force of 30N is applied to a mass of 10 kg causing it to accelerate. If the coefficient of friction is 0.20 what is the frictional force?
If work is shown that would be great
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The force of friction is equal to the product of the vertical force applied by the surface to the object in the coefficient of friction.
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In this question ,
surface vertical force = Weight of the object
Thus ;
svf = ( mass ) × ( gravity acceleration )
_________________________________
If gravity acceleration is 10 :
svf = 10 × 10 = 100 N
So ;
frictional force = 100 × 0.20
frictional force = 20 N
##############################
If gravity acceleration is 9.8 :
svf = 10 × 9.8 = 98 N
So ;
frictional force = 98 × 0.20
frictional force = 19.6 N
_________________________________
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write fulk form of FPS?
Answer:
Foot per second. Foot-pound-second system. Frames per second, the frequency (rate) at which consecutive images (frames) appear on a display.
Explanation:
:)
Please anyone, help me on this
Forces that are equal in size but opposite in direction are called what ?
Answer:
I think they are called balanced forces
Explanation:
Draw a graph of these results
Answer:
Actually I know but I can't cause it will take time
A scale reads 184 N when a piece of copper is hanging from it. What does it read (in N) when it is lowered so that the copper is submerged in water?
Answer:
163 N
Explanation:
The density of copper is about 8.96. The ratio of the weight in water to the weight in air is about 1-1/ρ, so is about 0.8884.
0.8884 × 184 N ≈ 163 N
The submerged weight is about 163 N.
answer pls urgent pls
Answer:
Brittleness
Explanation:
Lustrous means shiny
sonorous means capable of producing a deep or ringing sound
and iron isn't brittle or weak
Answer:
[tex]\huge\boxed{\sf brittleness}[/tex]
Explanation:
Iron is a metal which have luster (shine) so it is lustrous (shiny).
Iron is sonorous. When it is hit with a hard object, it produces ringing sounds.
Iron is not brittle. It cannot be easily broken. So, Iron does not show brittleness (It cannot be easily broken)
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AnonymousHelper1807What's the difference between speed and velocity
Speed is the time rate at which an object is moving along a path, while velocity is the rate and direction of an object's movement. Put another way, speed is a scalar value, while velocity is a vector.
which one is correct:
Average acceleration of an object is the:
Change in its position divided by the change in time
Change in time divided by the change in its position
Change in its velocity divided by the change in time
Change in time divided by the change in its velocity
Answer:
Option (c) is correct.
Explanation:
Acceleration of an object is given by the formula as follows :
[tex]a=\dfrac{v-u}{t}[/tex]
Where
u and v are initial and final velocity
t is time
(v-u) is also called the change in velocity
So, the acceleration of an object is equal to the rate of change of velocity. Hence, the correct option is (c) " Change in its velocity divided by the change in time".
Can someone please help me with this show work and explain it I don’t understand this it’s not D
What is the name of the phenomenon shown in the picture below?
Answer:
retrograde, so the second answer
Explanation:
i just googled retrograde and the exact picture came up, check if you like
An incident ray of light strikes water at an angle of 30°. The index of refraction of air is 1.0003, and the index of refraction of water is 1.33.
What is the angle of refraction rounded to the nearest whole number?
22°
24°
30°
42°
Answer: It’s A
Explanation:
22 degrees
The angle of refraction rounded to the nearest whole number is 22°.
What is refraction?It is the phenomenon of bending of light when it travels from one medium to another medium. The bending towards or away from the normal depends upon the medium of travel as well as the refractive index of the material.
By using Snell's law,
n₁sin(θ₁) = n₂sin(θ₂)
Where n is the refractive index and θ represents angles
Substituting the respective values given into the equation:
1.0003 * sin(30°) = 1.33 * sin(θ₂)
θ₂= 22°
The angle of refraction rounded to the nearest whole number would be 22°.
Learn more about refraction
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A jogger runs 6km north, 5km east, then another 4km north. Her average speed is 8 km/h. How long will it take her to complete her run?
Answer:
t = 1.875 hours
Explanation:
Speed
The speed is the rate at which an object moves. If the speed is constant, then the formula to calculate it is:
[tex]\displaystyle v=\frac{d}{t}[/tex]
Where d is the distance traveled in time t.
The jogger runs 6 Km plus 5 Km plus 4 Km north for a total of 15 Km.
It's given her average speed is 8 Km/h. We can calculate the time take to complete the run by solving the above formula for t:
[tex]\displaystyle t=\frac{d}{v}[/tex]
[tex]\displaystyle t=\frac{15\ Km}{8\ Km/h}[/tex]
t = 1.875 hours
Is any force exerted on the vertical sides of the loop that you used in the experiment and how does it affect the apparent mass?
a. There is a force exerted on each side of the loop that are equal in magnitude and opposite in direction.
b. No force is exerted on the sides of the loop.The lengths of the sides of the loop are much smaller than the bottom section and therefore the force on the sides are negligible.
c. The force on the sides are not in the same direction in which the mass is measured and therefore it does not affect the results.
d. The force exerted on the sides of the loop cancel each other out.
The force on the sides is not in the same direction in which the mass is measured and therefore it does not affect the results. Option c is correct.
What is force?Force is defined as the push or pulls applied to the body. Sometimes it is used to change the shape, size, and direction of the body. Force is defined as the product of mass and acceleration. Its unit is Newton.
The force on the sides does not alter the results since it is not in the same direction as the mass being measured. The forces acting on the loop's sides cancel one another out.
The force on the sides is not in the same direction in which the mass is measured and therefore it does not affect the results.
Hence option c is correct.
To learn more about the force refer to the link;
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What kind of food would you expect a turtle with a hard, sharp beak and short neck to eat?
In ultimate the disc may be passed in any direction.
True
False
I think is True: Because...
when you throw a disc you can throw it in any direction, many people call it "Flying Saucer" I'll give you an example ... When you throw something, for example a paper, you want to throw it at your classmate. You already know what address you want to send it to, then I say it is: True ...
Sorry if it's wrong :(
A typical blood pressure is 120 mm Hg. How high would you need to hang an IV bag so that the fluid enters the blood stream at this pressure? Assume the IV fluid has a density of 1000 kg/m^3.
Answer:
1.63 m
Explanation:
The following data were obtained from the question given above:
Pressure (P) = 120 mmHg
Density (d) = 1000 Kg/m³
Height (h) =?
Next, we shall convert 120 mmHg to N/m². This can be obtained as follow:
760 mmHg = 101325 N/m²
Therefore,
120 mmHg = 120 mmHg × 101325 N/m² / 760 mmHg
120 mmHg = 15998.68 N/m²
Thus, 120 mmHg is equivalent to 15998.68 N/m².
Finally, we shall determine the height to which the IV bag should be placed so that the fluid can enter the blood stream. This is illustrated below:
Pressure (P) = 15998.68 N/m².
Density (d) = 1000 Kg/m³
Acceleration due to gravity (g) = 9.8 m/s²
Height (h) =?
P = dgh
15998.68 = 1000 × 9.8 × h
15998.68 = 9800 × h
Divide both side by 9800
h = 15998.68 / 9800
h = 1.63 m
Therefore, the the IV bag should be placed at a height of 1.63 m
Determine the rate at which the electric field changes between the round plates of a capacitor, 8.0 cm in diameter, if the plates are spaced 1.4 mm apart and the voltage across them is changing at a rate of 110 V/s .
Solution:
The relation between the potential difference and the electric field between the plates of the parallel plate capacitor is given by :
[tex]$E=\frac{V}{D}$[/tex]
Differentiating on both the sides with respect to time, we get
[tex]$\frac{dE}{dt}=\frac{1}{D}\frac{dV}{dt}$[/tex]
Therefore, the rate of the electric field changes between the plates of the parallel plate capacitor is given by :
[tex]$\frac{dE}{dt}=\frac{1}{D}\frac{dV}{dt}$[/tex]
[tex]$=\frac{1}{1.4 \times 10^{-3}} \times 110$[/tex]
[tex]$=7.85 \times 10^4$[/tex] V/m-s
A 500 grams ball is thrown vertically upwards with a speed of 20 metres per seconds. what is the kinetic energy of the ball at the height of 5 metres?
Answer:
Ek = 24.5 [J]
Explanation:
To solve this problem we must use the theorem of work and energy which tells us that potential energy is transformed into kinetic energy or vice versa.
In this way, the kinetic energy will be equal to the potential energy at each moment.
Ep = Ek
With the height and mass data, we can find the potential energy.
Ep =m*g*h
where:
Ep = potential energy [J] (energy in Joules)
m = mass = 500 [gr] = 0.5 [kg]
g = gravity acceleration = 9.81 [m/s²]
h = elevation = 5 [m]
Ep = 0.5*9.81*5
Ep = 24.5 [J]
So the kinetic energy is the same that the potential energy.
Ek =24.5 [J]
HELP ASAP !!! !!!!!!!
Answer:
they are cooler than the rest if the sun
When you turn off your bedroom lights, the kitchen lights can stay on. This is because your home is wired using which of the following? (AKS 10b / DOK 1)
A.
Fuses
B.
Series circuits
C.
Batteries
D.
Parallel circuits
When you turn off your bedroom lights, the kitchen lights can stay on. This is because your home is wired by using the series circuit. Hence, option B is correct.
What is a Series circuit?The amount of current in the flow circuits of each element in a series circuit is the same. This is due to the recent flow having a single path. The flow rate (marble speed) at any point in a circuit (tube) at any given moment in time has to be equal because electric current moves through a conductor like marble in a duct.
The requirement that all values (voltage, current, resistance, and power) relate to one another in terms of the identical two places in a circuit is a significant exception to Ohm's law.
Therefore, the wiring of the home is in series combination. So, option B is correct.
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In football we see unbalanced forces. When 1 player exerts an unbalanced force on another player and causes a player to
Answer:
Fall
Explanation:
4.
Vectors P and Q are drawn to scale.
P
Which diagram represents the vector (P +Q)?
A
B
с
D
plz help I will fail.
can anyone plz help me.
plz
Answer:
hindi ko gets
Explanation:
ang gulo naman nyan
A stone is thrown horizontally from a cliff 30m high with an initial speed of 20m/s. How long was the stone in the air before hitting the ground? How far did the rock land from the edge of the cliff?
Answer:
Substitute the numbers for YOUR problem this is NOT the answer.
Explanation:
Can someone answer these questions for me all 10 I’m confused
Answer:
Is this the whole paper? I'll need to know so I can answer.
Explanation:
A change of temperature of 20 C is equivalent to a change in thermodynamic temperature of
Answer:
20 K
Explanation:
It is given that,
The change in temperature is 20 C.
We need to find the change in thermodynamic temperature.
If teperauture T₁ = 0° C = 0+273 = 273 K
T₂ = 20° C = 20 + 273 = 293 K
The change in temperature,
[tex]\Delta T=T_2-T_1\\\\=293-273\\\\=20\ K[/tex]
So, the change in temperature of 20°C is equivalent to 20 K.
The change in thermodynamic temperature is equal to 20 Kelvin.
Given the following data:
Change in temperature = 20°CTo determine the change in thermodynamic temperature:
A thermodynamic temperature can be defined as an absolute measure of the average total internal energy possessed by a body or an object. Thus, thermodynamic temperature is typically measured in Kelvin (K).
Mathematically, the change in temperature of an object is given by the formula:
[tex]\theta = T_f - T_i[/tex]
Where:
[tex]T_i[/tex] is the initial temperature (0°C)[tex]T_f[/tex] is the final temperature (20°C).Next, we would convert the values in degree Celsius to Kelvin:
Conversion:
0°C = 273 K
20°C = 273 + 20 = 293 K
For the change in thermodynamic temperature:
[tex]\theta = 293 - 273\\\\\theta =20\;K[/tex]
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An automobile traveling 88.0 km/h has tires of 72.0 cm diameter. (a) What is the angular speed of the tires about their axles
Answer:
angular speed = 67.91 rad/s
Explanation:
Given that,
The diameter of a tire, d = 72 cm
The radius of a tire, r = 36 cm = 0.36 m
Linear speed of an automobile, v = 88 km/h = 24.45 m/s
We need to find the angular speed of the tires about their axles. The relation between angular speed and angular speed is given by :
[tex]v=r\omega\\\\\omega=\dfrac{v}{r}\\\\\omega=\dfrac{24.45 }{0.36}\\\\\omega=67.91\ rad/s[/tex]
So, the angular speed of the tire is 67.91 rad/s.
