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Hitman42 [59]
1 year ago
8

a cylinder is fitted with a piston, beneath which is a spring, as in the drawing. the cylinder is open to the air at the top. fr

iction is absent. the spring constant of the spring is 4200 n/m. the piston has a negligible mass and a radius of 0.023 m. (a) when the air beneath the piston is completely pumped out, how much does the atmospheric pressure cause the spring to compress? (b) how much work does the atmospheric pressure do in compressing the spring?
Physics
1 answer:
weqwewe [10]1 year ago
5 0

0.39 cm is the compression in the spring by atmospheric pressure. Work done by the atmospheric pressure is 0.031J in compressing the spring.

a) When the air beneath the piston is completely pumped out, then formula for the atmospheric pressure causing the spring to compress will be: p°A = kx

where, x= compression, A= area, p°= atmospheric pressure and k= spring constant

Now, p°A = kx

x = p°A/x

x = p° (πr²)/k

Putting the values: x= {(1.0 × 10⁵) × π × (0.023)²}/4200

x= 0.0039 meter

Thus, x= 0.39 cm is the compression in the spring.

b) work done by the atmospheric pressure to compress the spring will be: W=(1/2)kx²

where, w= work done, k= spring constant and x= compression

Now, W=(1/2)kx²

W= (1/2) × 4200 × (0.0039)²

W= 0.031 Joule

Thus, work done by the atmospheric pressure is 0.031J.

To learn more about work done visit the link- brainly.com/question/28366277

#SPJ4

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If the canoe heads upstream the speed is zero. And directly across the river is  8.48 [km/h] towards southeast

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When the canoe moves upstream, it is moving in the opposite direction of the normal river current. Since the velocities are vector (magnitude and direction) we can sum each vector:

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Vt = Vr + Vc = 6 - 6 = 0 [km/h]

For the second question, we need to make a sketch of the canoe and we are watching this movement at a high elevation. So let's say that the canoe is located in point 0 where it is located one of the river's borders.

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A helicopter goes straight up 500m from a landing pad. It then goes north 20m. Then it goes down 452m. a) What is the displaceme
gavmur [86]

Answer:

a

  x-component             20 \  m

y-component     500 -  452 =  48 \  m

b

 Magnitude d  =  52 \  m

direction is  \theta  = 67.4^o

Explanation:

From the question we are told that

   The first  vertical distance is  y_1   = 500 \  m

    The  first horizontal distance  is  x =  20 \  m

    The  second vertical distance is  y_2  =  452 \  m

Generally the displacement is  

x-component             20 \  m

y-component     500 -  452 =  48 \  m

Generally the helicopters displacement is mathematically evaluated as  

       d  =  \sqrt{ x- component ^2  +  y- component ^2 }

      d  =  \sqrt{ 20t ^2  + 48 ^2 }

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The  direction is the angle the displacement of the helicopter makes with the horizontal which is mathematically evaluated as

         \theta  = tan ^{-1}[ \frac{48}{20}]

=>       \theta  = tan ^{-1}[ 2.4 ]

=>      \theta  = 67.4^o

   

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