a. Spring constant which has a maximum mass velocity of 25.0 cm/s and a period of 0.450 s = 17.49 N/m.
b. The amplitude of the motion of the spring = 0.0179 m.
c. Frequency of oscillation of the spring = 2.22 Hz.
The angular velocityBriefly, angular velocity is the angular speed accompanied by the direction. The unit of angular speed is rad/s or rad/minute or rad/hour.
Some of the equations that are often used are:
ω = \(\sqrt{\frac{k}{m}}\)
ω = 2π/T
ω = angular velocity (rad/second)
k = the spring constant
m = mass of the object
f = frequency (rev/second)
T = period (second)
The question is incomplete, it should be:
Find the
a. constant of the spring?
b. amplitude of the motion?
c. frequency of oscillation?
We have,
Mass of the object = 90.0 g
The maximum speed = 25.0 m/s
The period = 0.450 s
Determine the angular velocity first,
ω = 2π/T
= 2π/0.450
= 4.44 π rad/s
So,
a. Spring constant:
ω = \(\sqrt{\frac{k}{m}}\)
k = ω²m
= (4.44 π rad/s)² (0.09)
= 17.49 N/m.
b. The amplitude:
vm = (xm) (ω)
So, xm = vm/ω
= 0.25/4.44 π
= 0.0179 m
c. The frequency:
f = 1/T
= 1/0.450
= 2.22 Hz.
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indirect comparison method of measurements
The indirect comparison method of measurements is a method for measuring quantities that are difficult to measure directly or that cannot be measured directly. The method is based on comparing the quantity to be measured to a known standard or reference quantity that is related to the quantity being measured. The indirect comparison method can be used for measuring a wide range of quantities, including length, mass, volume, and time.
To use the indirect comparison method, the first step is to select a known standard or reference quantity that is related to the quantity being measured. For example, to measure the length of an object, a ruler or tape measure could be used as a standard.
Next, the standard is used to measure the reference quantity, such as the length of the ruler. This measurement is then used to calculate the conversion factor between the reference quantity and the quantity being measured. For example, if the ruler is 30 cm long and the length of the object is 4 times the length of the ruler, then the length of the object is 120 cm.
The indirect comparison method is useful when direct measurement is not possible or when the accuracy of the measurement needs to be improved. It is often used in scientific research and engineering to measure quantities such as distance, speed, and flow rate.
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a steel ring is 50mm diameter and 2mm thick. it must be fitted onto a shaft 50.04 mm diameter. calculate the temperature to which it must be heated in order to fit the shaft. the initial temperature is 20 deg C and the coefficient of linear expansion is 15x10^-6 per degrees celcius. calculate the stress and forced induced in the ring
okay so the stress and forced induced I can do that but the first part is confusing me because there is no final temperature.
The temperature to which it must be heated in order to fit the shaft is 73.33 ⁰C.
Linear expansivity
The temperature to which it must be heated in order to fit the shaft is calculated as follows;
\(\frac{\Delta L}{L} = \alpha \Delta T\\\\\Delta T = \frac{\Delta L}{\alpha L}\)
where;
ΔT is change in temperatureΔL is change in length = 50.04 mm - 50 mm = 0.04 mmα is coefficient of linear expansionL is original lengthΔT = (0.04)/(50 x 15 x 10⁻⁶)
ΔT = 53.3 ⁰C
Final temperatureT₂ - T₁ = ΔT
T₂ = ΔT + T₁
where;
T₂ is final temperatureT₁ is initial temperatureT₂ = 53.3 + 20
T₂ = 73.33 ⁰C
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A bullet is fired horizontally with an initial velocity of 900 m/s at a target located 150 m from the rifle.
a) How much time is required for the bullet to reach the target?
b) Using the approximate value of g = 10 m/s^2, how far does the bullet fall in this time?
If you could show work, that'd be greatly appreciated :) I know the answers, but I'm not sure how they're worked.
Answer:
S = Vx t = 900 t
t = 150 / 900 = 1/6 sec
If the bullet is fired horizontally it will travel 900 m in .167 sec
H = 1/2 g t^2 = 1/2 * 10 * (1/6)^2 = .139 m distance bullet will fall
What is the cost per month to operate an A.C. 10hours per day whose power is 3kW and 1KWH cost 79francs
The cost of operation for an A.C for 10 hours per day for a month will be 71,100 francs.
What is Power?Power is the amount of energy transferred or converted per unit time. The unit of power is the watt, equal to one joule per second. Power is a scalar quantity.
Cost of operation for 10 hours a day;
Daily consumption = 3kW x 10 hours
Daily Consumption = 30kW
Since 1kWH = 79 francs;
Daily consumption amount = 30 x 79 francs
Daily consumption amount = 2,370 francs
Therefore, the monthly consumption (using 30days) will be;
2,370 francs x 30 = 71,100 francs
In conclusion, 71,100 francs will be spent in a month (30 days) to run the 3kW rated A.C for 10 hours a day at 1kWH.
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wood is a better insulator than glass so why is fiberglass commonly used as an insulator in wooden buildings why?
Answer:
So that it may trap the solar radiations and maintain the temperature of the wooden building.
Explanation:
Wood is not as effective an insulator as fiberglass. It comes in a number of widths, the widest being 3/4 inch, which has an R-value of 0.94. However, fiberglass, the thinnest of which is 3/4 inch, has an R-value of 3. Therefore, fiberglass is a better insulator.
Classes are canceled due to snow, so you take advantage of the extra time to conduct some physics experiments. You fasten a large toy rocket to the back of a sled and take the modified sled to a large, flat, snowy field. You ignite the rocket and observe that the sled accelerates from rest in the forward direction at a rate of 13.513.5 m/s2 for a time period of 3.103.10 s. After this time period, the rocket engine abruptly shuts off, and the sled subsequently undergoes a constant backward acceleration due to friction of 4.654.65 m/s2. After the rocket turns off, how much time does it take for the sled to come to a stop
Answer:
The value is \(t_1 = 9 \ s \)
Explanation:
Generally the velocity attained by the sled after t = 3.10 s is mathematically evaluated using the kinematic equation as follows
\(v = u + at\)
Here u = 0 \ m/s
a = 13.5 \(m/s^2\)
So
\(v = 0 + 13.5 * 3.10 \)
=> \(v = 41.85 \ m/s \)
The is distance it covers at this time is
\(s = u * t + \frac{1}{2} a * t^2\)
=> \(s = + \frac{1}{2} * 13.5 * 3.10^2\)
=> \(s =64.87 \)
Now when sled stops its the final velocity is \( v_f = 0 m/s \) while the initial velocity will be the velocity after its acceleration i.e \(v = 41.85 \ m/s \)
So
\(v_f = v + a_1t_1\)
Here \(a_1 = - 4.65\), the negative sign shows that it is deceleration
So
\(0 = 41.85 - 4.65 * t_1\)
=> \(t_1 = 9 \ s \)
is it true that playing badmenton help you to become a better person?
Answer:
There is no scientific evidence that playing specifically l badminton makes you a better person, but sport and exercise in general release hormones which can make you feel more happy therefore making you nicer to the people around you and 'a better person'.
Answer:
It's true because playing any sport makes a person happy. So a happy person is a better person.
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Which kind of wave interaction is shown?
Answer:
where?
Explanation:
ill edit my answer when see it
Two particles of a gas collide. Why is this considered an elastic collision? (1 point)
O They bounce off each other, conserving momentum only.
O They stick together, conserving momentum.
O They bounce off each other, conserving energy only.
O They bounce off each other, conserving energy and momentum.
They bounce off each other, conserving energy and momentum.
This is considered an elastic collision because they bounce off each other, conserving energy only.
Gas is the state of matter that is made up of particles which freely move about its container and they bounce off each other.
As the particles move over each other they collide without exerting any force in each other. This is known as elastic collision.
Kinetic energy is conserved in elastic collisions which occurs between gas molecules.
While in inelastic collision, momentum is conserved and kinetic energy is not.
Because the gas particles do not stick together as they collide, no force is exerted and kinetic energy is therefore conserved.
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Which of the following is a characteristic of a balanced force?
1) equal in size opposite in direction
2) causes a change in the direction of an object
3) causes a change in the motion of an object
A hockey puck slides across the ice and eventually comes to a stop. Why did the puck stop?
Answer: the total energy of the puck, ice surface, and surrounding air decreases to zero
Explanation:
A hockey puck slides across the ice and eventually comes to a stop because of friction between surface of the puck and ice surface.
What is Friction ?Friction is a resistance to motion of the object. for example, when a body slides on horizontal surface in positive x direction, it has friction in negative x direction and that measure of friction is a frictional force. frictional force is directly proportional to the Normal(N). i.e. \(F_{fri}\) ∝ N
\(F_{fri}\) = μN where μ is called as coefficient of the friction. It is a dimensionless quantity.
When a body is kept on horizontal surface, its normal will be straight upward which is reaction of mg. i.e. N=mg.
Frictional force is equal to
\(F_{fri}\) = μmg
When hockey puck slides across the ice, friction between surface of puck and surface of ice produces resistance to the motion of the puck, due to resistance puck slow down slowly and eventually come to a stop. Motion and frictional force are opposite to each other. we can calculated the exact value of frictional force when we know the coefficient of friction between puck and ice surface.
hence due to friction, puck come to a stop
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In your business plan, the target market section should clearly identify_____market(s).
A. Both your primary and secondary
B. primary
C. demographic
D. secondary
In your business plan, the target market section should clearly identify both your primary and secondary market(s). The market analysis is basically the target market section of your business plan. It is a thorough examination of the ideal people to whom you intend to sell your products or services.
The moon weighs 7x1022kg and we are about 380,000,000m away from the moon. If you weigh 50kg, how much gravitational force does the moon have on you? (G=6.7x10-¹¹)
The gravitational force that the moon has on a person with a mass of 50 kg is approximately 1.15 N.
The gravitational force between two objects depends on their masses and the distance between them. This force is given by the formula:
F = (G × m₁ × m₂) / r² where F is the gravitational force, m₁ and m₂ are the masses of the two objects, r is the distance between them, and G is the gravitational constant, which has a value of 6.7 × 10⁻¹¹ N m²/kg².
Using this formula, we can find the gravitational force that the moon has on a person with a mass of 50 kg.
The mass of the moon is 7 × 10²² kg, and the distance between the moon and the person is 380,000,000 m.
Therefore, we have:
m₁ = 50 kg
m₂ = 7 × 10²² kg
r = 380,000,000 m
G = 6.7 × 10⁻¹¹ N m²/kg²
Substituting these values into the formula, we get:
F = (G × m₁ × m₂) / r²
F = (6.7 × 10⁻¹¹ × 50 kg × 7 × 10²² kg) / (380,000,000 m)²
F = 1.15 N
Therefore, the gravitational force that the moon has on a person with a mass of 50 kg is approximately 1.15 N.
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A common technique in analysis of scientific data is normalization. The purpose of normalizing data is to eliminate irrelevant constants that can obscure the salient features of the data. The goal of this experiment is to test the hypothesis that the flux of light decreases as the square of the distance from the source. In this case, the absolute value of the voltage measured by the photometer is irrelevant; only the relative value conveys useful information. Suppose that in Part 2.2.2 of the experiment, students obtain a signal value of 185 mV at a distance of 4 cm and a value of 82 mV at a distance of 6.2 cm. Normalize the students' data to the value obtained at 4 cm. (Divide the signal value by 185.) Then calculate the theoretically expected (normalized) value at 6.2 cm.
Answer:
V₂ = 0.4432
Explanation:
The normalize procedure is widely used in science, in this case we are going to normalize to the voltage value that exists 4 cm away
Vₙ= V_{measured} / V₀
where the voltage at the desired distance is V₀ = 185 mV = 0.185 V
the normalized voltage are
forr x = 4 cm
V₁ = 185/185
V₁ = 1
for x = 6.2 cm
V₂ = 82/185
V₂ = 0.4432
A father wants his son to start helping his mother do the do laundry. According to social learning theory, the father should
Answer:
Help out with the laundry himself.
Explanation:
In social learning theory, it's a process where people tend to observe the actions of others and then imitate them.
Now, since this father wants to teach his son to start helping his mother do the do laundry, what he can do according to social learning theory is to help with the laundry himself first.
A student with a mass of 55 kg rides a bicycle at a speed of 5.0 m/s. The momentum of the bicycle and rider equals 320 kg x m/s.
a. What is the combined mass of the student and bicycle?
b. How fast would the bicycle alone have to move in order to have the same momentum as that of the student and bicycle together?
According to an equation, an object's momentum is determined by multiplying its mass by its velocity. Where m denotes mass and v denotes speed. The equation shows that momentum is inversely proportional to mass and inversely proportional to velocity of an object.
What is the main relation between mass and momentum?The momentum is directly proportional to both mass and speed. The momentum of the object grows proportionately with either an increase in mass or velocity.
Therefore, The momentum of an object increases with increasing mass or velocity. The momentum of a large, swift object is larger than that of a small, slower object.
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Explain what is meant by resolution of an instrument
A. Explain the difference between procision and
accuracy of a measurment.
B. During experiment to find the stiffness constant of a
spring, the following graph was obtained. By comparing
the theoretical equation to that of a straight line y=mx+c find the string constant.
The resolution of an instrument is the smallest increment of measurement that can be reliably distinguished. It is a measure of the precision of the instrument.
What is resolution?
Resolution is the process of making a decision or reaching an agreement about a problem or dispute. It is the act of solving a problem or coming to an agreement. It is a process of defining the problem, gathering relevant information, analyzing the data, generating possible solutions, evaluating the solutions, and selecting the most appropriate option.
Accuracy is the degree to which a measured value corresponds to the true value of the quantity being measured. In the example given, the resolution of the instrument would be the smallest increment of the measurement of the stiffness constant of the spring that could be reliably distinguished. The accuracy of the measurement would be determined by comparing the theoretical equation to that of a straight line y=mx+c to find the string constant.
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A motorcycle stoop is at a traffic light, when the light turns green, the motorcycle accelerates to a speed of 78 km/h over a distance of 50 m. What is the average acceleration of the motorcycle over this distance?
The average acceleration of the motorcycle over the given distance is approximately 9.39 m/s².
To calculate the average acceleration of the motorcycle, we can use the formula:
Average acceleration = (final velocity - initial velocity) / time
First, let's convert the final velocity from km/h to m/s since the distance is given in meters. We know that 1 km/h is equal to 0.2778 m/s.
Converting the final velocity:
Final velocity = 78 km/h * 0.2778 m/s = 21.67 m/s
Since the motorcycle starts from rest (initial velocity is zero), the formula becomes:
Average acceleration = (21.67 m/s - 0 m/s) / time
To find the time taken to reach this velocity, we need to use the formula for average speed:
Average speed = total distance/time
Rearranging the formula:
time = total distance / average speed
Plugging in the values:
time = 50 m / 21.67 m/s ≈ 2.31 seconds
Now we can calculate the average acceleration:
Average acceleration = (21.67 m/s - 0 m/s) / 2.31 s ≈ 9.39 m/s²
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Which statement is true about the theory of plate tectonics and the theory of continental drift?
A) The theory of plate tectonics proves the theory of continental drift completely wrong.
B) The theory of plate tectonics tells exactly where the continents were before Pangaea divided.
C) The theory of plate tectonics gives the method by which continents can move as part of plates.
D) The theory of plate tectonics does not explain how continental movements could occur.
The statement that is true about the theory of plate tectonics and the theory of continental drift C. The theory of plate tectonics gives the method by which continents can move as part of plates .
What is theory of plate tectonics and the theory of continental drift ?According to the scientific hypothesis of plate tectonics, the underground movements of the Earth create the primary landforms. By explaining a wide range of phenomena, including as mountain-building events, volcanoes, and earthquakes, the theory, which became firmly established in the 1960s, revolutionized the earth sciences.
The scientist Alfred Wegener is most closely connected with the concept of continental drift. Wegener wrote a paper outlining his notion that the continents were "drifting" across the Earth, occasionally crashing through oceans and into one another, in the early 20th century.
According to tectonic theory, the Earth's surface is dynamic and can move up to 1-2 inches every year. The numerous tectonic plates constantly move and interact. The outer layer of the Earth is altered by this motion. The result is earthquakes, volcanoes, and mountains.
Therefore, option C is correct.
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What types of energy are the bulbs putting out?
Answer:
Light energy
Explanation:
The light bulbs converted the electric energy to light energy.
use equivalent ratios in higher terms to eliminate decimals from the following ratio 3.04 to 6 and ratio is ?
The equivalent ratio in higher terms to eliminate decimals from the ratio 3.04 to 6 is 76 to 150.
To eliminate decimals from the ratio 3.04 to 6, we can multiply both terms of the ratio by a common factor that will result in whole numbers.
First, let's convert 3.04 to a fraction:
3.04 = 3 + 0.04 = 3 + 4/100 = 3 + 1/25 = 75/25 + 4/100 = 76/25
Now, the ratio 3.04 to 6 can be written as:
3.04/6 = 76/25 / 6
To eliminate the decimal, we can multiply both the numerator and denominator by 25:
(76/25) * 25 / (6 * 25) = 76 / 150
Therefore, the equivalent ratio in higher terms to eliminate decimals from the ratio 3.04 to 6 is 76 to 150.
By multiplying both terms by 25, we effectively scale up the ratio to eliminate the decimal and create whole numbers. This allows us to express the ratio in higher terms without decimals. The final ratio 76 to 150 represents the same relationship as the original ratio 3.04 to 6, but in whole number form.
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If you were standing at the center of a circular wave what would you see in all directions?
a.waves moving away from you
b.waves moving towards you
c.waves moving across you
d.no movement at all
Which of the following is classified as a good electrical conductor?
Question 3 options:
rubber
plastic
glass
copper
air
Answer:
copper
Explanation:
wires use copper to conduct electrictiy
Answer:
Explanation:
Copper is the answer; as it is metal and metals are famous for conducting electricity, but plastic,rubber and glass are nonmetals.
Ethyl alcohol is in a 300 /- 10% mm-diameter tank at an initial height of 1 m. The ethyl alcohol exits the tank through an sharp-edged orifice, which has a diameter of 2 /- 10% mm and located at the bottom of the tank. The tank is open to the atmosphere. What is the approximate actual velocity along with propagation of uncertainty in m/s coming out of the orifice at ethyl alcohol height of 0.75 /- 10% m
The velocity of propagation is v = 3.836 m/s ± 5%
Data;
diameter of tank = d = 300 ± 10 % mminitial height of tank H = 1mExit tank diameter (Orifice) = d = 2 ± 10%Velocity of Flow of OrificeThe velocity of the flow is calculated as
\(v_h = \sqrt{2gh}\)
h = height of the fluid from the orifice
h = 0.75 ± 10%m
\(v = \sqrt{2*9.81*0.75}\\g = 9.81 m/s^2\\v = 3.836 m/s\)
The uncertainty or error in calculating velocity
\(v = \sqrt{2gh}\)
The uncertainty = 1/2 * error in 'h'
\(\frac{1}{2} * 10 \% = +5 \%\)
The uncertainty = ± 5%
The velocity of propagation is v = 3.836 m/s ± 5%
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Three capacitors are connected as follows: 2.8 F capacitor and 5.57 F capacitor are connected in series, then that combination is connected in parallel with a capacitor of 7.13 F. What is the capacitance of the total combination?
ANSWER
8.99 F
EXPLANATION
We know that two capacitors of capacitances 2.8 F and 5.57 F are connected in series, while a third capacitor of capacitance 7.13 F is connected in parallel to that combination,
The capacitance works similarly to the resistance, except that when capacitors are connected in parallel, their capacitances add up, while when they are connected in series, the equivalent capacitance is like we were finding the equivalent resistance of resistors connected in parallel,
\(C_{eq}=\frac{1}{\frac{1}{C_1}+\frac{1}{C_2}}+C_3=\frac{1}{\frac{1}{2.8F}+\frac{1}{5.57F}}+7.13F\approx8.99F\)Hence, the total capacitance is 8.99 F, rounded to the nearest hundredth.
Which of the following solar phenomena is likely to have the most negative impact on Earth?
A solar flare as it may cause brief radio blackouts
An aurora as it may damage communication networks
An aurora as it may cause worldwide transmission problems
A solar flare as it may harm satellites and aircrafts flying near poles
Answer:
A solar flare as it may harm satellites and aircrafts flying near poles
Explanation:
Since solar flare is electro magnetic waves going to Earth the waves will mostly get absorbed by the north and south poles resulting in the aurora borealis, but if the solar flare is strong enough it may stop communications and engines in satellites and aircrafts and in result harming them
Answer:
A solar flare as it may harm satellites and aircrafts flying near poles
Explanation:
A surveyor measures the distance across a straight river by the following method: Starting directly across from a tree on the opposite bank, he walks x = 118 m along the riverbank to establish a baseline. Then he sights across to the tree. The angle from his baseline to the tree is = 33.4°. How wide is the river?
Answer:
68.5 meters
Explanation:
To solve this problem, we can use trigonometry and create a right triangle with the river as the hypotenuse.
Let's call the width of the river "w". We can use the sine function to find the length of the opposite side of the triangle (the distance from the surveyor to the tree).
sin(33.4°) = opposite/hypotenuse
sin(33.4°) = w/x
w = x * sin(33.4°)
w = 118 m * sin(33.4°)
w = 68.5 m
Therefore, the width of the river is approximately 68.5 meters.
If you are driving 80 km/h along a straight road and you look to the side for 1.7 s , how far do you travel during this inattentive period?
Express your answer using two significant figures.
Given the speed of the driver and the time elapsed, distance traveled during his inattentive period is 0.037 kilometers.
How far did the driver travel during the inattentive period?Speed is simply referred to as distance traveled per unit time.
Mathematically, Speed = Distance ÷ time.
Given the data in the question;
Speed = 80 km/hTime = 1.7sDistance travelled = ?First, convert 1.7 seconds to hours.
Time = 1.7s = (1.7 / (60×60)hr = 1.7/3600 hrs
Now, find the distance traveled during the inattentive period.
80 km/h = Distance ÷ 1.7/3600 hrs
Distance = 80 km/h × 1.7/3600 hrs
Distance = 136/3600 km
Distance = 0.037 km.
Given the speed of the driver and the time elapsed, distance traveled during his inattentive period is 0.037 kilometers.
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You are pushing your old dishwasher of mass 35.0 kg up the ramp into the truck bed. You are applying a force of 225 N along the ramp which is inclined at 22.0 degrees. There is a frictional force of 45.0 N between the ramp and the dishwasher. can you please help with b?
The acceleration of the dish washer is obtained as 5.1 m/s^2.
What is a free body diagram?A free body diagram is a type of image that physicists use to illustrate the forces operating on an item in a certain circumstance.
By dissecting the motion of the object into its component forces and displaying the direction and amount of each force acting on the object, the diagram may be used to study the motion of the object.
We know that;
Net force =Applied force - Frictional force
35a = 225 - 45
a = 225 - 45/35
a = 5.1 m/s^2
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A cube of sugar is broken in half. Is that a Chemical or Physical Change?
It is a Physical Change, the chemical composition of the sugar is not being changed.