A water trough is 10 m long and has a cross-section in the shape of an isosceles trapezoid that is 40 cm wide at the bottom, 100 cm wide at the top, and has height 60 cm. If the trough is being filled with water at the rate of 0.1 m3/min, how fast (in m/min) is the water level rising when the water is 10 cm deep
Answer:
0.238 m/min
Explanation:
The volume of water in the trough V =Ah' where A = area of cross-section = area of isosceles trapezoid = 1/2(a + b)h where a = length of bottom of isosceles trapezoid = 40 cm = 0.4 m, b = length of top of isosceles trapezoid = 100 cm = 1 m and h = height of isosceles trapezoid = 60 cm = 0.6 m. So,
A = 1/2(a + b)h = 1/2(0.4 m + 1 m)0.6 m = (1.4 m)0.3 m = 0.42 m² and h' = height of water level in trough = H - h" where H = length of trough = 10 m and h" = depth of water level in trough = 10 cm = 0.1 m
So, V = Ah'
V = A(H - h") = A(10 - h")
Now, the rate of change of volume of the trough with respect to time dV/dt = d[A(10 - h")]/dt
dV/dt = -Adh"/dt
dh"/dt = -dV/dt/A
Since dV/dt = 0.1 m³/min, substituting the other variables into the equation, we have
dh"/dt = -dV/dt/A
dh"/dt = -0.1 m³/min/0.42 m²
dh"/dt = -0.238 m/min
This is the rate at which the depth is decreasing
Since the height h' = 10 - h"
dh'/dt = d(10 - h")/dt
= -dh"/dt
= -(-0.238 m/min)
= 0.238 m/min
So the water level is increasing at a rate of 0.238 m/min
why does ice melt faster in water than in oil when both liquids are at the same temperature
Answer:
Because water has a high specific heat, each little bit of water flowing past can give lots of thermal energy to the ice cube. Oil has a smaller specific heat, and so more oil has to flow past to give the same amount of heat energy to the ice cube. ... Colder oil will melt ice less rapidly than warmer oil or water
PLASES HELP ASAP
A baseball bat company is testing a new alloy that they claim will improve the power of its bats for very weak or low-power batters. Given the provided data of three bat compositions, swing force, and resulting ball travel distance, what conclusion can be made regarding their new alloy? A) There is no hypothesis provided. B) The hypothesis of the company is refuted. C) The hypothesis of the company is verified. D) The hypothesis was neither verified or refuted.
Answer:
B.
Explanation:
I'm not sure if it's the right answer but I think it is. I hope I helped out in some way.
Kieran is graduating from high school. He wants to be a urologist. What career path would be best for Kieran to follow?
four-year degree Right arrow. graduate school Right arrow. residency
four-year degree Right arrow. graduate school Right arrow. license from the NCLEX
two-year degree Right arrow. license from the NCLEX Right arrow. certification in a specialty
two-year degree Right arrow. vocational school Right arrow. further certification
Answer:
four-year degree Right arrow. graduate school Right arrow. residency
Explanation:
edge
Four-year degree Right arrow. graduate school Right arrow. residency. This career path would be best for Kieran to follow.
What is career ?According to the Oxford English Dictionary, a person's "career" is their "course or progress through life." According to this definition, a person's "career" includes a variety of facets of their life, education, and employment. The term "career" is also widely used to refer to the professional parts of a person's life, as in "career woman," for instance. A profession or occupation that often requires specific training or formal education is referred to as a person's lifework in the third manner that the word "career" is employed.When used in this context, "a career" refers to a set of linked occupations that are often followed within a single industry or sector. For instance, one may speak of "a career in education," "a career in criminal justice," or "a career in the building trade."
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A wave has a frequency of 30Hz and wave length of 40cm. What is the velocity of the wave?
Answer:
12m/s
Explanation:
v=fλ
30×(40÷100)=
12m/s
An example of conservation of angular momentum is jumping on a Merry-Go-Round. Watch this video (it starts part way through but the only thing you miss is the people pushing the Merry-Go-Round) to see someone jumping on a Merry-Gr-Round in motion like this problem. You can model the Merry-Go-Round as a solid disk with a radius of 2.70 m and a mass of 77.0 kg. Initially the Merry-Go-Round has an angular velocity 7.40 radians / second. Then the person jumps on and change the Moment of Inertia of the system. The person lands on the outer edge of the Merry-Go-Round and has a mass of 58.0 kg. What is the final angular velocity of the system after the person jumps on
Answer:
ωf = 2.95 rad/sec
Explanation:
Assuming no external torques acting while the person jumps on, total angular momentum must be conserved.Angular momentum for a rotating rigid body can be expressed as follows:[tex]L = I * \omega (1)[/tex]
where I = moment of inertia regarding the rotating axis, and ω= angular velocity.Since total angular momentum must be conserved, this means that the following equality must be satisfied:[tex]L_{o} = L_{f} (2)[/tex]
The initial angular momentum, taking into account that the Merry-Go-Round can be modeled as solid disk, can be expressed as follows:[tex]L_{o} = I_{o} * \omega_{o} = \frac{1}{2}* M* R^{2}* \omega_{o} =\\ \frac{1}{2} * 77.0 kg* (2.70m)^{2}* 7.40 rad/sec = 2076.92 kg*m2*rad/sec (3)[/tex]
The final angular momentum, is just the product of the new moment of inertia times the final angular velocity.The new moment of inertia, is just the sum of the original moment of inertia I₀ and the moment of inertia due to the person that jumps on.Assuming that we can treat him as a point mass, his moment of inertia is just the product of his mass times to the distance to the axis of rotation (the radius of the Merry-Go-Round) squared.So, we can write the new moment of inertia If as follows:[tex]I_{f} = I_{o} +( m_{p} * R^{2}) = (\frac{1}{2} * M* R^{2}) + ( m_{p} * R^{2}) =\\ (\frac{1}{2} * 77.0 kg* (2.70m)^{2}) +( 58.0 kg * (2.70m)^{2}) = \\ 280.67 kg*m2 + 422.82 kg*m2 = \\ 703.49 kg*m2 (4)[/tex]
The final angular momentum can be written as follows:[tex]L_{f} = I_{f} * \omega_{f} (5)[/tex]
Since (3) and (5) must be equal each other, replacing If by its value from (4) in (5), we can solve for ωf, as follows:[tex]\omega_{f} = \frac{L_{o} }{I_{f}} = \frac{2076.92kg*m2*rad/sec}{703.49kg*m2} = 2.95 rad/sec (6)[/tex]
Chemotherapy is used to treat
cervical cancer.
endometriosis.
undescended testicles.
benign prostatic hypertrophy.
Answer:
cervical cancer
Explanation:
EDGE 2020
1. An atom that loses electrons has a ________________________ charge and an atom that gains
electrons has a ___________________________ charge.
Charged atoms are called ___________________.
2. What is an insulator? Give 4 examples.
3. What is a conductor? Give an example.
4. How can we move electrons from one place to another? What actually causes the electrons to
move?
5. Static electricity is ______________________________________________________________________
_______________________________________________________________________________________
6. Explain the attraction and repulsion of charges.
7. Why does a balloon stick to the wall?
8. Why does your hair stand up when you take off your hat?
9. Why do you get a shock when you walk across a carpet?
10. When is static electricity most noticeable and why?
11. State the Principle of Conservation of Charge.
12. The invisible electric force field around charged objects depends on __________________________,
__________________________, and _____________________________.
13. What is the relationship between the charges and the field strength?
What is the relationship between the field strength and the distance between the charges?
1. What is DC?
What is AC?
2. Name 3 ways to get DC.
3. What is an electrical circuit?
4. What is voltage?
What is current?
What is resistance?
What causes heat and light in a wire?
COPY THE TABLE comparing water in a hose-DC-units
5. Which electricity do we use in our homes?
CLICK ON ALTERNATING CURRENT
1. Explain AC.
2. Who invented the light bulb?
3. Who really invented AC?
4. Who discovered the advantages of AC over DC?
5. How is AC made?
6. What is the main advantage of AC over DC?
a car is traveling with a velocity of 40 m/s and has a mass of 1120kg the car has kinetic energy
A 30 kg child went down a 10 m tall slide. Assuming no energy was lost as friction, what was the child's velocity when he reached the
bottom?
I
Would a 2021 Ford Mustang GT be light weight or heavy weight?
Answer:
Heavy weight
Explanation:
It's a muscle car, its weight its 3,825 lb, and it's classified as heavy for a car.
Answer:
Heavy Weight
Explanation:
A 2021 Mutsang GT could wrigh from 3,532 to 3,868 lbs. This would be considered a Heavy meadium to Heavy muscle car.
No where close to the boat of mopar the challenger almost weighting up to 4,500lbs
1. Fill in the blanks. (3 pts)
a.
is the amount of matter in an object.
b.
is the unit of measurement for force.
c.
p = m* v is
Answer:
a) mass
b) Newtons
c) momentum formula where p stands for momentum, m stands for mass, and v stands for velocity
Hope this helps!
Answer:
a mass
b acceleration
mass is the matter in an object
force is a pull or push of an object or body
A 67.0 kg person is riding in a car moving at 19.0 m/s when the car runs into a bridge abutment. (Assume the initial velocity is in the positive direction.) (a) Calculate the average force (in N) on the person if he is stopped by a padded dashboard that compresses an average of 1.00 cm. (Indicate the direction with the sign of your answer.) N (b) Calculate the average force (in N) on the person if he is stopped by an air bag that compresses an average of 15.0 cm. (Indicate the direction with the sign of your answer.) N
Answer:
a) F = - 1.21 10⁶ N, b) F = - 8.06 10⁴ N
Explanation:
a) For this part let's use the kinematics relations
v² = v₀² - 2 a x
distance traveled to stop is x = 1.00 cm = 0.0100 cm, final speed is zero
0 = v₀² - 2 ax
a = v₀² / 2x
a = [tex]\frac{19^2 }{2 \ 0.01}[/tex]
a = 1.81 10⁴ m / s²
this acceleration is in the opposite direction to velocity
let's use Newton's second law
F = ma
F = 67.0 (-1.81 10⁴)
F = - 1.21 10⁶ N
the negative sign indicates that it is going in the opposite direction to the speed
b) in this case it is stopped by an airbag x = 15.0 cm = 0.15 m
a = v₀² / 2x
a = [tex]\frac{19^2}{2 \ 0.15}[/tex]
a = 1.203 10³ m / s²
calculate the force
F = m a
F = 67.0 (- 1.203 10³)
F = - 8.06 10⁴ N
Two scientists are experimenting with pure samples of isotope X, a highly radioactive substance. The first scientist has a sample with a mass of 20 grams. He measures a half-life of 232 seconds. The second scientist has a sample of the same substance with a mass of 80 grams. What is the half-life that she is most likely to measure?
Answer:
Half-life does not depend on sample size, only on the constituents of the sample.
The second scientist should also observe a half-life of about 232 sec or 40 grams of X remaining after 232 sec.
Answer:
As it is the same substance, the half life will remain at 232 seconds.
Explanation:
Verified with correct test results.
A house is lifted from its foundations onto a truck for relocation. The house is pulled upward by a net force of 2850 N. This force causes the house to move from rest to an upward speed of 15 cm/s in 5.0 s. What is the mass of the house?
Answer:
m = 95000 kg
Explanation:
Given that,
Net force acting on the house, F = 2850 N
Initial speed, u = 0
Final speed, v = 15 cm/s = 0.15 m/s
We need to find the mass of the house. Let the mass be m. We know that the net force is given by :
F = ma
Where
a is the acceleration of the house.
So,
[tex]F=m\dfrac{v-u}{t}\\\\m=\dfrac{Ft}{(v-u)}\\\\m=\dfrac{2850\times 5}{(0.15-0)}\\\\m=95000\ kg[/tex]
So, the mass of the house is equal to 95000 kg.
Question 6.Why does a ball dropped from a certain height not bounce back 1 point
to the same height it was dropped from? *
Answer:
Because the coefficient of restitution is less than 1.
This coefficient is 1 for a perfectly elastic collision.
Some of the energy of the fall is absorbed by the ball so the ball cannot return to its original height.
Also, you have the effects of air resistance and some energy absorption of the the reflecting surface.
2. An advertisement claims that a new type of cotton cloth looks red because of the way the cloth is
woven and not because of the dye used on the cloth.
Which statement BEST explains why the chemical dye is responsible for the red appearance of the
cloth?
ооо
O A. The chemical absorbs the light from the visible spectrum except for red that is reflected to the
eye.
B. The chemical absorbs all the red light from the visible spectrum that is reflected to the eye.
C. The light is refracted and the longest wavelength shows through the one that is red.
OD. The chemical reaction produces a red light that is emitted, so the cloth looks red.
Calculate the speed of an object that travels 75m in 15s
Answer:
speed =distance/time taken
5 m/s
The results in a science text
describe details involved in completing the experiment.
share the data found after an experiment is concluded.
give the background and purpose of an experiment.
interpret the results of a completed experiment.
Answer:
The answer is B since no one answered it :)
Explanation:
Answer:
b
Explanation:
i took the test
Which is the correct formula for calculating speed?
A. speed - distance - time
B. speed = distange + time
C. speed = distance - time
D. speed = distance - acceleration
Answer:
speed=distance/time
Explanation:
its distance over time like division
The more mass an object has,the less inertia the object has. True or False
Answer:
This is true. objects that have a greater mass has greater interia. which also means objects that have a less mass has also less interia.
Explanation:
i hope this helps!!!
A 5kg block rests on a 30° incline. The coefficient of static friction between the block and the incline is 0.20. How large a horizontal force must push on the block if the block is to be on the verge of sliding. a) up the incline, b) down the incline ?
Answer:
Hope It Help
Explanation:
That's all I know
#1 - Saturn has a mass of 5.683 x 10^26 kg. One of its moons, Titan, has a
mass of 1.345x10^23 kg. The center of Saturn to the center of Titan is 1.222
x 10^6 m. What is the magnitude of the gravitational force that attracts
Saturn and Titan? Please show work and formula
Answer:
F = G M1 M2 / R^2 attractive force
F = 6.67 * 10E-11 * 5.683 * 10E26 * 1.345 * 10E23 / (1.222 * 106)^2 N
F = 6.67 * 5.683 * 1.345 / 1.493 * 10E26 N = 3.414 * 10E27 N
Solar panels convert _______ energy to ______ energy which can be used to heat water
Newton's first law of motion states that an object's motion will not change unless
Answer:
unless an external unbalanced force acts on it.
Answer:
An object in motion will not change unless an external force acted upon it.
What is the resistance force when you walk up an inclined plane?
Please help quick!
The resistance force which is the type of force that oppose the motion when we walk on an inclined plane is mgcos (-).
What is Resistance force?
A Resistance force is defined as a force that acts to oppose the motion or motion of an object that is an opposing force. Resistance force opposes the moving body to move in the opposite direction. Resistive force is described as the force, or the vector sum of several forces where the direction is opposite to the motion of a body is also called friction during sliding and/or rolling.
Some examples of resistive force are friction, where an object is held back from sliding on a surface, while another form of resistive force is fluid resistance in which the object is trying to plow through a fluid material.
Thus, the resistance force which is the type of force that oppose the motion when we walk on an inclined plane is mgcos (-).
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HELP PLZZZZZ
Vitiligo is an example of a condition that comes from
A. your habits
B. your predisposed genetics
C. your social network
D. your physical environment
Answer:
the answer is b vitiligo is a genetic skin condition
Question 1 of 10 Which characteristic of nuclear fission makes it hazardous?
O A. The process destroys every atomic nucleus that goes through it.
O B. The process changes existing atoms into atoms of different elements
C. The process requires very high pressures.
O D. The radioactive wastes it produces can spread to any part of the environment
Answer:
D.
The radioactive wastes it produces can spread to any part of the environment.
Explanation:
Fission is the name given to the splitting of a heavy nucleus into two medium-mass nuclei. Fission is said to be induced if it results from the absorption of a neutron to form an unstable nucleus that decays by fission. The induced fission usually produces further neutrons accompanying the fission fragments.
Answer: D. The radioactive wastes it produces can spread to any part of the environment
Explanation:
The magnetic field due to a utility wire is 0.10 mT when you are at a distance of 10 meters from it. What current (in Amperes) flows through the wire?
Answer:
I = 5000 A
Explanation:
We will use Ampere's Law to calculate the current:
[tex]B = \frac{\mu I}{2\pi r}\\\\[/tex]
where,
B = Magnetic Field Strength = 0.1 mT = 1 x 10⁻⁴ T
μ = Permeability of Free Space = 4π x 10⁻⁷ N/A²
I = Current = ?
r = radius = 10 m
Therefore,
[tex]1\ x\ 10^{-4}\ T = \frac{(4\pi\ x\ 10^{-7}\ N/A^2)(I)}{2\pi(10\ m)}\\\\I = \frac{(1\ x\ 10^{-4}\ T)(2\pi (10\ m))}{4\pi\ x\ 10^{-7}\ N/A^2}[/tex]
I = 5000 A
An object has 4J of kinetic energy and 16J of potential energy. How much mechanical energy does it have?
A. 64J
B. 12J
C. 20J
D. 4J
Answer: C. 20J
Explanation: im pretty sure sorry if im wrong :(
