1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Finger [1]
3 years ago
15

Whenever Dylan walks into his room, his roommate loudly blows an air horn, which startles Dylan. Dylan doesn't think this is fun

ny, and after several such episodes, he tenses up and opens the door more slowly and carefully. In this practical joke, Dylan's reflex of tensing up whenever he opens the door is the ________.
Physics
1 answer:
Sav [38]3 years ago
4 0

Answer:

stimuli

Explanation:

You might be interested in
List five situations in which temporary wiring would be used
Nimfa-mama [501]

an emergency

building a test circuit

temp joining components

8 0
3 years ago
Why do we see the color black?
Inessa [10]
We see black colour in absence of light. Black colour absoorbs all the light, ( just opposite of white) and hence we do not see any colour. Black colour is also related to darkness.
5 0
3 years ago
Find the mass and center of mass of the solid E with the given density function ρ. E lies under the plane z = 3 + x + y and abov
makvit [3.9K]

Answer:

The mass of the solid is 16 units.

The center of mass of the solid lies at (0.6875, 0.3542, 2.021)

Work:

Density function: ρ(x, y, z) = 8

x-bounds: [0, 1], y-bounds: [0, x], z-bounds: [0, x+y+3]

The mass M of the solid is given by:

M = ∫∫∫ρ(dV) = ∫∫∫ρ(dx)(dy)(dz) = ∫∫∫8(dx)(dy)(dz)

First integrate with respect to z:

∫∫8z(dx)(dy), evaluate z from 0 to x+y+3

= ∫∫[8x+8y+24](dx)(dy)

Then integrate with respect to y:

∫[8xy+4y²+24y]dx, evaluate y from 0 to x

= ∫[8x²+4x²+24x]dx

Finally integrate with respect to x:

[8x³/3+4x³/3+12x²], evaluate x from 0 to 1

= 8/3+4/3+12

= 16

The mass of the solid is 16 units.

Now we have to find the center of mass of the solid which requires calculating the center of mass in the x, y, and z dimensions.

The z-coordinate of the center of mass Z is given by:

Z = (1/M)∫∫∫ρz(dV) = (1/16)∫∫∫8z(dx)(dy)(dz)

<em>Calculate the integral then divide the result by 16.</em>

First integrate with respect to z:

∫∫4z²(dx)(dy), evaluate z from 0 to x+y+3

= ∫∫[4(x+y+3)²](dx)(dy)

= ∫∫[4x²+24x+8xy+4y²+24y+36](dx)(dy)

Then integrate with respect to y:

∫[4x²y+24xy+4xy²+4y³/3+12y²+36y]dx, evaluate y from 0 to x

= ∫[28x³/3+36x²+36x]dx

Finally integrate with respect to x:

[7x⁴/3+12x³+18x²], evaluate x from 0 to 1

= 7/3+12+18

Z = (7/3+12+18)/16 = <u>2.021</u>

The y-coordinate of the center of mass Y is given by:

Y = (1/M)∫∫∫ρy(dV) = (1/16)∫∫∫8y(dx)(dy)(dz)

<em>Calculate the integral then divide the result by 16.</em>

First integrate with respect to z:

∫∫8yz(dx)(dy), evaluate z from 0 to x+y+3

= ∫∫[8xy+8y²+24y](dx)(dy)

Then integrate with respect to y:

∫[4xy²+8y³/3+12y²]dx, evaluate y from 0 to x

= ∫[20x³/3+12x²]dx

Finally integrate with respect to x:

[5x⁴/3+4x³], evaluate x from 0 to 1

= 5/3+4

Y = (5/3+4)/16 = <u>0.3542</u>

<u />

The x-coordinate of the center of mass X is given by:

X = (1/M)∫∫∫ρx(dV) = (1/16)∫∫∫8x(dx)(dy)(dz)

<em>Calculate the integral then divide the result by 16.</em>

First integrate with respect to z:

∫∫8xz(dx)(dy), evaluate z from 0 to x+y+3

= ∫∫[8x²+8xy+24x](dx)(dy)

Then integrate with respect to y:

∫[8x²y+4xy²+24xy]dx, evaluate y from 0 to x

= ∫[12x³+24x²]dx

Finally integrate with respect to x:

[3x⁴+8x³], evaluate x from 0 to 1

= 3+8 = 11

X = 11/16 = <u>0.6875</u>

<u />

The center of mass of the solid lies at (0.6875, 0.3542, 2.021)

4 0
3 years ago
How many minutes in 1 hour
fgiga [73]

Answer:

60

Explanation:

Every 60 minutes is an hour

8 0
2 years ago
Read 2 more answers
Which explanation of the solar system best fits the observations of the planets and how they orbit the sun?
NeTakaya
You're right, Answer C

The dust and gas accumulate to form a solar nebula, which later on creates the star and the planets.
4 0
3 years ago
Read 2 more answers
Other questions:
  • As a delivery truck travels along a level stretch of road with constant speed, most of the power developed by the engine is used
    10·1 answer
  • Which describes why people on earth can see light from the stars in the sky that are so far away?
    12·1 answer
  • Find the radius R of the orbit of a geosynchronous satellite that circles the Earth. (Note that R is measured from the center of
    6·1 answer
  • A train is moving at a speed of 50 km/h. How many hours will it take the train to travel 600 kilometers?
    9·2 answers
  • An adiabatic nozzle is used to accelerate 6000 kg/hour of CO2 to 450 m/s. CO2 enters the nozzle at 1000 kPa and 500 C. The inlet
    15·1 answer
  • On December 26, 2004, a great earthquake occurred off the coast of Sumatra and triggered immense waves (tsunami) that killed som
    6·1 answer
  • A straightforward method of finding the density of an object is to measure its mass and then measure its volume by submerging it
    5·1 answer
  • What are the Units of voltage?
    12·2 answers
  • Lifting a stone block 146m to the top of the Great Pyramid required 146,000 J of work. How much work was done to lift the block
    10·1 answer
  • What defines a mixture?<br> for sience
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!