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Nataliya [291]
3 years ago
5

The cable of a crane is lifting a 950 kg girder. The girder increases its speed from 0.25 m/s to 0.75 m/sin a distance of 5.5m

Physics
1 answer:
Umnica [9.8K]3 years ago
7 0

Explanation:

a) How much work is done by gravity?

  • w = f x d
  • w = 950 x 10 x 5.5 = 52250j

b) How much work is done by tension?

  • v²=u²+2as
  • 0.75²=0.25²+2a x5.5
  • 0.56=0.06+2a x5.5
  • 2a x5.5 = 0.56 - 0.06
  • 2a x 5.5 =0.5
  • 11a=0.5
  • a = 0.5/11 = 0.05m/s²

w = f x d

w = 950 x 0.05 x 5.5 = 261.25j

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A liquid of density 1270 kg/m3 flows steadily through a pipe of varying diameter and height. At Location 1 along the pipe, the f
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Answer:

{P_2}-P_1=49.99\ KPa

Explanation:

v_1=9.43\ m/s

d_1=11.7\ cm/s

d_2=17.5\ cm/s

From continuity equation

A_1v_1=A_2v_2

v_1d_1^2=v_2d_2^2

v_2=\dfrac{9.43\times 11.7^2}{17.5^2}

v_2=4.21\ m/s

\dfrac{P_1}{\rho g}+\dfrac{v_1^2}{2g}+y_1=\dfrac{P_2}{\rho g}+\dfrac{v_2^2}{2g}+y_2

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\rho\dfrac{v_1^2}{2}+\rho y_1g -\rho\dfrac{v_2^2}{2}-\rho y_2g={P_2}-P_1

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3 years ago
While visiting the Albert Michelson exhibit at Clark University, you notice that a chandelier (which looks remarkably like a sim
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Answer:

a) 0,1613 Hz

b) 1,01342 rad/sec

c) 9.5422 m

d) 9.4314 m/sec^2

Explanation:

In the Albert Michelson exhibit at Clark University, we know the period of oscillation of the chandelier is T = 6.2 seconds

The chandelier will be modeled as a simple pendulum

a) Since the frequency is the reciprocal of the period, we have

f=\frac{1}{T}=\frac{1}{6.2sec}=0,1613 Hz

b) The angular frequency is computed as

w=2\pi f=2\pi (0,1613) = 1,01342\ rad/sec

c) The period of a simple pendulum is given by

T=2\pi \sqrt{\frac{L}{g}}

Where L is its length and g is the local acceleration of gravity (assumed 9.8 m/sec^2 for this part)

We want to know the length of the pendulum, so we isolate L

L=\frac{T^2g}{4\pi^2}

L=\frac{(6.2)^2(9.8))}{4\pi^2}=9.5422 m

d) While hanging out in J.J. Thompson’s House O’ Blues, the new period is 6.2+0.11=6.32 sec. Since the chandelier is the very same (same length), we can assume the gravity is slightly different. We use again the formula for T, but now we'll isolate g as follows

g=\frac{4\pi^2L}{T^2}=\frac{4\pi^2(9.5422m))}{(6.32sec)^2}

Which results  

g=9.4314\ m/sec^2

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Answer:

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