The value of m1 is 4.2 kg and value of m2 is 1 kg.
Computation of the value of m1 and m2:
Note:- The value of force is assumed to be 9.70*10^-9 N.
The gravitational force F is given by the formula,
F=Gm1m2 / r^2
where F is the force, G is the universal gravitational constant, m1 and m2 are masses and r is the distance between the masses.
Then the product of the masses is,
m1m2= Fr^2/G
Given F=9.70*10^-9 N, r is 17.0 cm which is equal to 0.17 m.
Therefore product m1m2= 9.70*10^-9 N *(0.17 m)^2 / 6.67*10^(-11) N m^2 kg^-2
m1m2= 4.20 kg^2
m1=4.20 kg^2/m2
The sum of masses is m1+m2=5.20 kg
4.20/m2+m2=5.20
(m2)^2-5.20m2-4.20=0
After solving the above quadratic equation, mass m2 has values 4.2 kg and 1 kg.
By using m2=1 kg, m1 has greater mass 4.2 kg.
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Answer
m1 is equal to 4.2 kg and m2 is equal to 1 kg.
Explanation:
Note:- It is assumed that the force is equal to 9.70*10^(-9) N.
The force of gravitation F is calculated using formula,
F=Gm1m2/r^2
where G is the universal gravitational constant.
Given r=17 cm or 0.17 m and G=6.67*10^(-11) N m^2/ kg^2.
9.70*10^(-9) = 6.67*10^(-11)*m1m2 / (0.17)^2
m1m2=4.20 kg^2
m1=4.20/m2
Given the sum of masses is 5.20 kg.
Therefore,
m1+m2=5.20
4.20/m2+m2=5.20
m2^(2)-5.20m-4.20=0
Solving the quadratic equation, m2 gives values 4.2 and 1.
By using these values, m1 gives values 1 and 4.2 respectively.
But m1 is greater than m2, so m2 =1 kg and m1 = 4.2 kg.
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A wire of a given material has an electric field of 0.100 mV/m when a potential is applied. The wire has 8.49 x 1028 conduction electrons per cubic meter and a mean free time between collisions of 2.50 x 10-14 s. What is the uniform current density in the wire
The uniform current density in the wire is 5.43 x 10²⁷ A/m².
Current density in the wireThe uniform current density in the wire is calculated as follows;
J = total current / total area
The given parameters:
Conduction of the wire = 8.49 x 10²⁸ e/m²time, t = 2.5 x 10⁻¹⁴ s[tex]J = \frac{I}{A} = \frac{Q}{At} \\\\J = \frac{8.49 \times 10^{28}e/m^3 \ \times \ 1.6 \times 10^{-19} \ C/e}{2.5 \times 10^{-14} \ s \ \times ( 0.1 \times 10^{-3} \ V/m)} \\\\J = 5.43 \times 10^{27} \ A/m^2[/tex]
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Which type of light is best for checking the security features of a california issued id or driver license?.
The type of light which best for checking the security features of a California issued id or driver license is a UV light.
What is a UV light?This is referred to as an ultraviolet light and is an electromagnetic radiation which glows in the dark.
This is why it is referred to as blacklight image and helps to see the details of the ID under any condition.
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What can you say about the drop in potential energy (per unit mass or volume) of water traveling through either pipe? What can you say about the drop in potential energy (per unit mass or volume) of water traveling through either pipe? The drop is greater for pipe L. The drop is greater for pipe S. The drop is the same for both pipes.
The drop is the same for both pipes.
The analogy between water pressure, water flow, voltage, and current:
Both the pressure created by the pump at the top of the pipes and the pressure at the bottom of the pipes are equal (taken to be zero). Since the fluxes vary, the pressure drop across each pipe is also variable. This circuit is an analog of parallel resistors, where the voltage for each resistor is the same, but the currents vary if the resistances are not equal.
When water flows from a small pipe to a large pipe, the flow (measured, for instance, in gallons per minute) is the same in both pipes, because the amount of water entering one pipe must equal the amount leaving the other. Otherwise, water would build up in the pipes. For the same reason, circuit components connected in series have a constant total electric current. Water pressure and total electric potential (voltage) are comparable, and a pump is comparable to a battery. Similar to how electricity going through a resistor decreases in voltage, water traveling through pipes lose pressure. In a battery, chemical reactions cause charges to flow against the average due to the pump's utilization of mechanical work to increase the potential energy of the water.
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0. If heavy stone and cotton having same masses are dropped from certain height on the surface of the earth. Explain the results according to the presence and obsence of air resistance. V 0. If heavy stone and cotton having same masses are dropped from certain height on the surface of the earth . Explain the results according to the presence and ab
sence of air resistance .
The cotton will fall slower than the heavy stone of same mass because of the density of the substances, which affects air resistance.
What is air resistance?Air resistance is the action of friction that slows something moving through air.
It is worthy to note the air resistance is not dependent on the mass of an object but on the velocity and density of that object.
According to this question, a heavy stone and a cotton having same masses are dropped from certain height on the surface of the Earth.
Based on difference in densities, the cotton will fall slower than the heavy stone because the density of the stone is greater.
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Danny Diver weighs 500 N and steps off a diving board 10 m above the water. Danny hits the water with kinetic energy of
Answer:
Danny hits the water with kinetic energy of 5000 J.
Explanation:
Given that,
The Weight of Danny Diver,
F = 500 N
m*g= 500 N
He steps off a diving board 10 m above the water.
h=10 m
when Danny diver hits water he generates the kinetic energy.
We need to find the kinetic energy of the water.
Let kinetic energy is K.
K = m*g*h
Where g is acceleration due to gravity.
that g= 9.8 m/s^2
now substituting the values in above equation
K= (500) * 10
K= 5000 J
Hence,
he hits the water with kinetic energy of 5000 J.
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Need help asap pls
An astronaut is stuck floating motionless in space and wants to get back to
her spaceship. By throwing objects in the opposite direction, she accelerates
enough to get back to the spaceship. The astronaut is using Newton's
law of motion.
O A. fourth
OB. third
O C. second
OD. first
A diagram shows a measuring cylinder containing a liquid, and that same measuring cylinder when it is empty. What is the density if the mass is 190g and the volume is 24cm3?
The density, given that the mass is 190 g and the volume is 24 cm³ is 7.92 g/cm³
What is density?The density of a substance is simply defined as the mass of the subtance per unit volume of the substance. Mathematically, it can be expressed as
Density = mass / volume
How to determine the density Mass = 190 gVolume = 24 cm³Density =?Density = mass / volume
Density = 190 / 24
Density = 7.92 g/cm³
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A bus decreases its speed from 80km/h to 60km/h in 5 seconds. find the acceleration of the bus.
The acceleration of the bus is 1.1 m/s²
What is acceleration?Acceleration is defined as the change in the velocity of an object with time.
Acceleration = change in velocity/timeChange in velocity = Final velocity - initial velocityChange in velocity of the bus = 60 - 80
Change in velocity of the bus = -20 km/h = -5.5 m/s
Time = 5 seconds
Acceleration = -5.5/5
Acceleration = 1.1 m/s²
In conclusion, acceleration is the rate of change of velocity with time.
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How much water will flow in 30 secs through 200 mm of capillary tube of 1.50 mm in diameter, if the pressure difference across the tube is 6660N/m² and viscosity is 8.01x10 kg/ms
The water outflow in 30 secs through 200 mm of the capillary tube is mathematically given as
[tex]Qo=1.6 \times 10^{2} \mathrm{~mL}[/tex]
What is the water outflow in 30 secs through 200 mm of the capillary tube?[tex]\begin{aligned}\Delta P &=6660 \mathrm{~m} / \mathrm{m}^{2} \\\mu &=8.01 \times 10^{-4} \text { Pas } \\t &=30 \mathrm{~s} \\L &=200 \mathrm{~mm}=200 \times 10^{-3} \mathrm{~m} \\D &=1.5 \mathrm{~mm}=1.5 \times 10^{-3} \mathrm{~m} \Rightarrow \gamma=\frac{1.5 \times 10^{-3}}{2} \mathrm{~m}\end{aligned}[/tex]
Generally, the equation for Rate of flow of Liquid is mathematically given as
[tex]\\$$Q=\frac{\pi r^{4} \times \Delta P}{8 \mu L}[/tex]
$$
Where dP is pressure difference r is the radius
[tex]\mu[/tex] is the viscosity of water
L is the length of the pipe
[tex]Q=\frac{\pi \times\left(\frac{1.5 \times 10^{-3}}{2}\right)^{4} \times 6660}{8 \times 8.01 \times 10^{-4} \times 200 \times 10^{-3}}[/tex]
[tex]Q=5.2 \mathrm{~mL} / \mathrm{s}[/tex]
In $30s the quantity that flows out of the tube
[tex]&Qo=5.2 \times 30 \\&Qo=1.6 \times 10^{2} \mathrm{~mL}[/tex]
In conclusion, the quantity that flows out of the tube
[tex]Qo=1.6 \times 10^{2} \mathrm{~mL}[/tex]
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. If the moon orbits Earth along the exact ecliptic (as the sun does): a. precession would not occur. b. days and nights would no longer be equal on the dates of the equinoxes. c. a total lunar and a total solar eclipse would occur every month. d. ocean tides would not occur.
If the moon orbits Earth along the exact ecliptic a total lunar and solar eclipse would occur every month.
The answer is option C.
A solar eclipse happens when the Moon passes between the sun and Earth, casting a shadow on earth that either fully or partly blocks the sun's light in some areas. This most effective takes place every so often, due to the fact the Moon does not orbit inside the specific same plane because the solar and Earth do.
The moon's route crosses the ecliptic kind two times every month, and a solar eclipse takes place while the solar happens to be there at some point during the crossing. There's a terrific hazard of this approximately once each six months.
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3
its out
n
A mom walks into her child's room and finds clothes all over the floor. 20% of the clothes are
clean. She randomly picks up 5 articles of clothing.
1. We can expect 1
2. The standard deviation is 25
3. Because the distribution has a
r
O
5
, the distribution is close to skewed right (positive)
✔
n-
4. Use the probability formula P(r) =n Crp'q" to create a binomial distribution table.
Probability formula
Round to the tenth, if necessary.
6
✔ CO
Dirty Room
out of 5
articles of clothing to be clean.
x. (Round to the nearest tenth, if necessary.)
probability of success (P(S)) that is
5
✓.2 ✓
0
small (closer to 0)
P(r)
Enter the probability only.
Round to the 4th decimal place, if
necessary.
.6
?
The probability computed shows that we can expect 1 out of 5 clothes to be clean.
How to calculate the probability?From the information given, it was stated that 20% of the clothes are clean. Therefore, the probability of clean clothes will be:
= 20% = 1/5.
Therefore, one out fo five clothes are clean.
The standard deviation will be:
= ✓npq
where,
n = 5
p = 0.20
q = 1 - 0.20 = 0.80
SD = ✓(5 × 0.20 × 0.80)
= ✓0.80
= 0.09
The distribution is close to symmetric.
The binomial distribution table will be:
0 = (0.20)^0 (0.80)^5 = 0.3277
1 = (0.20)¹ (0.80)⁴ = 0.4096
2 = (0.20)² (0.80)³ = 0.2040
3 = (0.20)³ (0.80)² = 0.0512
4 = (0.20)⁴ (0.80)¹ = 0064
5 = (0.20)^5 (0.80)^0 = 0.0003
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6. The volume of a water tank is 5 m × 4 mx 2 m. If the tank is half-filled with water, calculate the pressure exerted at the bottom of the tank.
Answer:
Height (h)=4m so. tank is half filled the debth will be or heigth will be 4m/2 =2m
Explanation:
Acceleration deu to gravity (g)=9.8m/s^2
Density (d)=1000kg/m^3
So
P= hdg
P= 2×9.8×1000
P= 19600pa
Which characteristic is most associated with egalitarian societies?
O Women perform a lot of the domestic labor.
Women have responsibility for child care.
Women have access to education.
O Work is highly segregated by sex.
Answer:
a woman who have responsibility of child care
Explanation:
egalitarian is one who supports equality
The characteristic that is most associated with egalitarian societies is Women have responsibility for child care.
What is society?A society is a bunch of individuals that frequently contact with one another or a significant social group that inhabits the same physical or social area and is typically under the control of the same leadership and prevailing cultural expectations. A given society may be defined as the sum of all of these interactions among its constituent members.
Society is characterized by patterns of interaction (social relations) between people who share a certain culture and institutions. In the social scientists, subgroup dominance or stratification patterns commonly occur in bigger societies. By defining certain behaviors or ideas as acceptable or unacceptable, societies create patterns of behavior. The phrase "societal norms" relates to such behavioral patterns within a particular community. Societies and their standards are continuously and changing slowly.
What is women?Women typically inherit a pair of X - chromosome from their parents, which allows them to get pregnant and give birth from adolescence until menopause. More specifically, the sex determination of the female embryo is controlled by the lack of a present or active on either of the respective s-ex chromosomes. Female anatomy differs from male anatomy due to the female reproductive system, which consists of the ovaries, ut-erus, v-agina, and vulva. A lady is a grown-up female. Before being an adult, a woman is referred to as a girl (a female child or adolescent).
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Suppose a 65.5 kg gymnast climbs a rope. What is the tension in the rope if she climbs at a constant speed
The tension in the rope when the gymnast climbs it at constant speed is 641.9 N.
Given:
Mass of gymnast, m = 65.5 kg
The speed 'v' of gymnast is constant
Solution:
Consider the free-body diagram of the system as shown below.
Balancing forces along the vertical axis we get:
ΣFy = 0
Thus, we get:
F = ma - (1)
where, m is mass of gymnast
a is acceleration of gymnast (a = 0m/s², as the speed is constant)
Also,
F = T - mg -(2)
where, T is tension in the rope
g is acceleration due to gravity
Equating (1) & (2), we get:
ma = T - mg
Re-arranging the equation, we get:
T = m(a+g)
Applying values in above equation we get:
T = (65.5 kg)(0 m/s²+9.8 m/s²)
T = 641.9 N
Therefore, the tension in the rope when the gymnast climbs it at constant speed is 641.9 N.
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A cat with a mass of 5 kg sits on a branch that is 26 m off the ground. What is
its gravitational potential energy? The acceleration of gravity is 9.8 m/s².
Answer:
1274 J
Explanation:
PE = m g h
= 5 * 9.8 * 26 = 1274 J
If the satellite has a mass of 3900 kg , a radius of 4.3 m , and the rockets each add a mass of 210 kg , what is the required steady force of each rocket if the satellite is to reach 30 rpm in 5.4 min , starting from rest?
Answer:
The required steady force of each rocket is 28.79 N
Explanation:
mass of the satellite, M=3900 kg
radius, r=4.3 m
mass of rocket, m=210 kg
time, t=5.4 min
Moment of Inertia:
I = 1/2 (Mr^2) + 4mr^2
I = 1/2 ( 3900* (4.3)^2) + 4 (210)*(4.3)^2
I = 51587.1 kg m^2
the angular acceleration is:
a= w/t
here w= 2*π*30
so,
a= 2*π*30 / 5.4* 3600
a=0.0096 rad/ s^2
the Torque becomes:
T=I*a = 4r*F
( 51587.1 )*(0.0096) = 4*4.3* F
F= 28.79 N
the required steady force of each rocket is 28.79 N
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Heat engine x has an efficiency of 67%. heat engine y has an efficiency of 82%. which best compares these two heat engines? heat engine x moves more thermal energy from cold to warm areas than heat engine y. heat engine x releases more energy to the surroundings than heat engine y. heat engine y releases more energy to the surroundings than heat engine y. heat engine y moves more thermal energy from cold to warm areas than heat engine x.
Heat engine y releases more energy to the surroundings than heat engine y compares the two heat engines in a better way.
Heat Engine:
It mainly works by bringing the working substance from warmer temperature to lower temperature. So, in the process of going through this cycle, the system performs some work on the surrounding. Then more work will be done by a more efficient engine.In the question, it is said that x has an efficiency of 67% and y has an efficiency of 82%.
Therefore, Heat Engine y releases more energy to the surroundings than heat engine y. Hence, option (c) is correct.
Incorrect options:
(a) It is incorrect because Heat engines work by taking heat from hotter regions to colder regions.
(b) It is incorrect because the efficiency of x is less than y.
(d) It is also incorrect because Heat engines work by taking heat from a hotter region to a colder one.
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Why do astronomers need different telescopes at different locations to observe across the electromagnetic spectrum
Frequency or wavelength-based distribution of all electromagnetic radiation is known as electromagnetic spectrum.
The majority of celestial bodies emit many forms of electromagnetic radiation simultaneously. What they emit depends on a variety of factors, including how hot they are and what materials they are made of.
Different telescopes are used by astronomers to find various electromagnetic spectrum components. Only one region of the electromagnetic spectrum can be detected by each type of telescope.
At radio frequencies, light pollution is more severe than at visible wavelengths.
Light pollution, often known as artificial nighttime light, is the improper or excessive use of artificial outdoor light.
Different energies of photons have a range of wavelengths, some of which are inaccessible from the Earth's surface and need different methods of collection.
As the atmosphere distorts more strongly at shorter wavelengths, telescopes must adjust.
Modern telescopes use new technologies to work more effectively and making innovative telescope designs is a task that engineers and astronomers relish.
That’s why astronomers need different telescopes at different locations to observe across the electromagnetic spectrum.
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1. The planet Jupiter completes a revolution of the sun in 11.5 years. Express it in seconds. Given that one year= 3.154 × 10^7 s.
Answer:
The planet Jupiter completes one revolution of the sun in 362710000 seconds. Long time, right?
Explanation:
3.154x10^7=3.154x10000000=31540000
11.5x31540000=362710000
The maximum displacement of a mass attached to a spring is 0.122 m, while its highest acceleration is 0.953 m/s2. What is its maximum speed
Maximum Speed:
v = 0.9452ω
In SHM as we know that the velocity of the particle as function of displacement from mean position is :
v = ω √A² -x²
Now, substituting the values
v = ω √(0.953)² - (0.122)²
v = ω √ 0.908209- 0.014884
v = ω √0.893325
v = 0.9452ω
So, this is the maximum speed of the spring.
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Throughout the reflection, make sure you have a copy of the Student Guide and your data tables. Use the drop-down
menus to complete the statements.
The independent variables in Part I, the ones intentionally manipulated, are the
The independent variable in Part II, the one that is intentionally manipulated, is the [
The dependent variable for both Parts I and II, the one that you measure the response in, is the
The complete statements are;
In Part I ---> mass & type of materialIn Part I ----> type of materialIn Part I----> temperatureThis is further explained below.
What is reflection?Generally, reflection is seen when light, heat, or sound that is reflected back by an object or surface rather than absorbed by it.
In conclusion, The full statements are as follows: Part I: Mass and Material Type For the first section, please refer to the following categories of content: To begin, let's talk about the temperature, as discussed in Part I.
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Answer:
The independent variables in Part I, the ones intentionally manipulated, are the
✔ mass and type of material
.
The independent variable in Part II, the one that is intentionally manipulated, is the
✔ type of material
.
The dependent variable for both Parts I and II, the one that you measure the response in, is the
✔ temperature
got right in edge 2022
A soapbox derby race car starts at rest at the top of a track that has a vertical drop of 15 m. The car is to be stopped at the end of the track by colliding with and compressing a spring. In order to avoid injury to the driver, the spring must be compressed to 3.0 m before the car stops. What should be the force constant of this spring
In order to avoid injury to driver, The force constant of this spring should be 73.82 N/m
Calculation of force constant to this spring:
Here
vertical drop is 15 m.
mass of the car, m= 113 kg
gravitational acceleration, g= -9.8 m/s^2
spring compression before car stops, x= 3.0 m
In order to avoid injury to the driver,
we need to use Hooke's law and Newton's second law:
F(net) = F(x)
m*a=-k*x
here a=g
k= -(m*g) / x
here k is force constant of this spring
substituting the values we get,
k = -(113* -9.8) / (15)
k = 73.8266 N/m
Hence, the force constant of this spring should be 73.82 N/m
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A convex lens forms a real and inverted image of a needle at a distance of 50 cm from it. Where is the needle placed in front of the convex lens if the image is equal to the size of the object? Draw the image formation in this case.
Answer:
It is given that the image is formed at a distance of 50cm from the lens. And since the image is real, v = +50cm. This means that u = -50cm. Therefore, the needle must be placed at a distance of 50cm from the lens.
Explanation:
When the number of turns in a solenoid and its length are both doubled, the ratio of the magnitude of the new magnetic field inside to the magnitude of the original magnetic field inside is:
If you double the number of turns and double the length, the value N/L remains the same and hence the magnitude of the magnetic field stays the same.
A solenoid is a device comprised of a coil of wire, the housing and a moveable plunger (armature). When an electrical current is introduced, a magnetic field forms around the coil which draws the plunger in.
The magnitude of the magnetic field in an infinite (L>>R) solenoid, is proportional to:
I*N/L
Where
I = current
N = number of turns
L = length of wire
So, if you double the number of turns and double the length, the value N/L remains the same and hence the magnitude of the magnetic field stays the same.
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Complete the statement below.
In a neutralization reaction,
and hydroxide iOns react to form.
Answer:
In a neutralization reaction, hydronium and hydroxide ions react to form water.
Explanation:
Acids/Bases and how they interact:
A Bronsted-Lowry base is a substance that tends to bond with and "steal" a hydrogen ion, while an acid is a molecule containing a hydrogen ion that prefers to dissociate. Acids "give up" their hydrogen ions to water molecules in water, resulting in the formation of a hydronium ion. The pH of a given solution is determined by the amount of hydronium ions present.
A quick neutralization reaction takes place when a base is added to an acid because bases want to "take" the hydrogen. We have the ideal combination of bases that want to "take" the hydrogen ion and acids that want to "give up" the hydrogen ion, which allows them to neutralize one another. A conjugate base is created when hydrogen separates from an acid; having had its hydrogen torn from the complex, it may now receive a hydrogen (i.e., acts as a base). Once the base has a hydrogen, it behaves as a conjugate acid; it may then "lose" that hydrogen and behave as an acid.
Depending on which form the molecule favors, the acid's potency varies. The fact that hydrochloric acid (HCl) fully dissociates in aqueous solutions makes it a powerful acid:
HCl + H₂O -> Cl- + H₃O+
That is to say that the reaction equation strongly favours the right side.
Acetic acid, on the other hand, is a weak acid because only a small part of it dissociates:
CH₃COOH + H₂O <--> CH₃COO- + H₃O+
In contrast to the bulk of the chemical, which is shown on the left in the uncharged state, only a minor portion of acetic acid dissociates.
This brief explanation of acids and bases anthropomorphizes chemical substances as aware creatures with specific preferences for certain actions. These so-called "preferences" are, in reality, rough summaries of the relative stabilities of the compounds (acid vs. its conjugate base), mostly as a result of electrical processes.
Answer:
hydrogen and water other answer is wrong
Explanation:
A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 550 cubic centimeters of soup. The sides and bottom of the container will be made of styrofoam costing 0.04 cents per square centimeter. The top will be made of glued paper, costing 0.05 cents per square centimeter. Find the dimensions for the package that will minimize production cost.
Helpful information: h : height of cylinder, r : radius of cylinder
Volume of a cylinder: V = pir²h Area of the sides: A = 2pirh Area of the top/bottom: A = pir²
A microwaveable cup-of-soup package needs to be constructed in the shape of a cylinder to hold 600 cubic centimeters of soup. The sides and bottom of the container will be made of styrofoam costing 0.02 cents per square centimeter. The top will be made of glued paper, costing 0.05 cents per square centimeter. Find the dimensions for the package that will minimize production costs.
h: height of the cylinder, r: radius of the cylinder
The volume of a cylinder: V=πr2h
Area of the sides: A=2πrh
Area of the top/bottom: A=πr2
The cost of packaging, C=2πrh*0.02+ πr^2*0.02+ πr^2*0.05 subject to the constraint πr^2h=600
C=πr(0.04h+.07r) and the constraint implies h=600/ πr^2
So C=πr(24/πr^2+.07r)=24/r+.07πr^2
C'=-24/r^2+0.14πr=0
r^3=24/0.14π r=3.79 cm
h=600/πr^2=13.3 cm
C=π*3.79*(0.04*13.3+.07*3.79)=9.48cents
C''=0.14π+48/r^3>0 for all r>=0 so our solution is indeed a minimum.
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On its own, a tow truck has a maximum acceleration of 5.0 m/s2. What will be its maximum acceleration when the truck is using a light horizontal chain to tow a bus of three times its own mass
The maximum acceleration will be 1.6m/s^2
Let a1 = 5.0m/s^2
the maximum acceleration of the truck alone. The force produced by the engine to accelerate the truck in this situation is
F = ma1
with m being the mass of the truck alone.
If we attach a bus of twice the mass of the truck, now the whole system (truck+bus) has a mass of (m+2m)=3m. And in this case, the force produced by the engine is
F = 3ma2
with a2 being the new acceleration.
The engine is always the same, so the force produced is still the same, so we can equalize F written in the first equation and in the second equation:
ma1 = 3ma2
and find a2, the new acceleration
a2 = ma1/3
a2 = 5/3 m/s^2
Therefore a2 = 1.6m/s^2
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Which of the following statements are true about a mass rotating around a string? Select all that apply.
Group of answer choices
A. If you cut the string as the ball is in motion, the ball will continue to move in uniform circular motion due to the centripetal force.
b. The acceleration and velocity vectors on the mass will always be perpendicular to each other.
c. Since the linear speed of the rotating mass is constant, the kinetic energy of the mass is also constant.
d. The acceleration and centripetal force vectors will always be directed inward, towards the center of the arc.
Answer:
Only (C) and (D) are true
a = (v2 - v1) / t since a and v are vector quantities they have the same direction
Also KE = 1/2 M v^2 describes the linear KE of an object moving with a speed of v
Also KE = F * S where S is the displacement - the radius vector is a constant for an object moving in a circle and the centripetal force provides no change in KE
Find the pressure exerted on the floor by a 100N box whose bottom area is 40cm x
50cm.
Answer:
Pressure exerted = 500 Pa
Explanation:
The formula for pressure is as follows:
[tex]Pressure = \frac{Force \space\ applied}{Area}[/tex]
In this case,
Force applied = 100N
Area = 40cm × 50cm = 2000cm² = 2000 × 10⁻⁴ = 0.2m²
Substituting these values into the formula:
Pressure = [tex]\frac{100}{0.2}[/tex]
⇒ Pressure = 500 Pa
Answer:
500Pa
Explanation:
Pressure = Force / Area where area is in [tex]m^{2}[/tex].
Firstly, lets convert both area dimensions into metrers.
40cm = 40/100 m = 0.4m
50cm = 50/100 m = 0.5m
Area of Bottom area of box = 0.4m x 0.5m = [tex]0.2m^{2}[/tex]
Pressure = [tex]\frac{100N}{0.2m^{2} }[/tex]
= 500Pa
If you run around a circular track with a radius of 10m, what is the displacement after 3 full laps back to the start line?
Displacement will be zero.
What is displacement and how is it different from distance?Displacement:
It is the shortest distance between an object's beginning position and ending position.The quantity is a vector.It may be zero, positive, or negative.Displacement may be greater than or equal to distance.In the given question, we start from one point and finish at the same point around the circular track. Therefore there is no distance between the initial and final points because they are the same. That's why the displacement is zero.
Distance:
It is the actual path or distance that an object takes to go from its starting point to its finishing point.The quantity is a scalar one.It cannot be 0 or negative; it must be positive. Displacement and distance may be equal.Learn more about displacement here:
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