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3 years ago

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An aluminum wire of length 1.0 meter has a resistance of 9.0x10^-3 ohm. If the wire were cut into two equal lengths, each length

would have a resistance of

2 answers:

murzikaleks [220]3 years ago

0 0

Answer:since resistance depends on length, then the resistance will be shared equally since it was cut equally therefore the resistance is

4.5*10^-3 ohm

Explanation:

Diano4ka-milaya [45]3 years ago

0 0

Answer : The each length would have a resistance of $4.5\times 10^{-3}\Omega$

Explanation :

Let the resistance of equal length of wire be, r

That mean,

$r+r=R$

where,

r = resistance of equal length of wire

R = total resistance of wire = $9.0\times 10^{-3}\Omega$

As we know that resistance is directly proportional to length.

Total resistance of aluminum wire = Sum of resistance of two equal piece of wires

$r+r=9.0\times 10^{-3}\Omega$

$2r=9.0\times 10^{-3}\Omega$

$r=\frac{9.0\times 10^{-3}\Omega}{2}$

$r=4.5\times 10^{-3}\Omega$

Therefore, the each length would have a resistance of $4.5\times 10^{-3}\Omega$

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3 years ago

You want to lean your dad's ladder on a smooth wall. If the mass of ladder is 4.42 kg and coefficient

iren [92.7K]

Answer:

angle minimum θ = 41.3º

Explanation:

For this exercise let's use Newton's second law in the condition of static equilibrium

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The rotational equilibrium condition, where we place the axis of rotation on the wall

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μ sin θ - ½ cos θ = 0

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3 years ago

Why is honesty especially important in a scientist when the results of an experiment go against predictions❓❔

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Because other scientists and science in general rely on their collegues' research which in turn allows development of our knowledge on the given subject. The more dont-to-earth reason may be safety. If someone performs an experiment without knowledge of its true results it might result in some danger to the safety of those perforning it without knowledge of all the risks.

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3 years ago

the jet plane travels along the vertical parabolic path. when it is at point a it has speed of 200 m/s, which is increasing at t

givi [52]

Explanation:

Here is the complete question i guess. The jet plane travels along the vertical parabolic path defined by y = 0.4x². when it is at point A it has speed of 200 m/s, which is increasing at the rate .8 m/s^2. Determine the magnitude of acceleration of the plane when it is at point A.

→ The tangential component of acceleration is rate of increase in the speed of plane so,

$a_{t} = v = 0.8 m/s^{2}$

→ Now we have to find out the radius of curvature at point A which is 5 Km (from the figure).

dy/dx = d(0.4x²)/dx

= 0.8x

Take the derivative again,

d²y/dx² = d(0.8x)/dx

= 0.8

at x= 5 Km

dy/dx = 0.8(5)

= 4

$p = \frac{[1+ (\frac{dy}{dx})^{2}]^{\frac{3}{2} } }{\frac{d^{2y} }{dx^{2} } }$

now insert the values,

$p = \frac{[1+(4)^{2}]^{\frac{3}{2} } }{0.8} = 87.62 km$

→ Now the normal component of acceleration is given by

$a_{n} = \frac{v^{2} }{p}$

= (200)²/(87.6×10³)

aₙ = 0.457 m/s²

→ Now the total acceleration is,

$a = [(a_{t})^{2} +(a_{n} )^{2} ]^{0.5}$

$a = [(0.8)^{2} + (0.457)^{2}]^{0.5}$

a = 0.921 m/s²

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2 years ago

A 3250-kg aircraft takes 12.5 min to achieve its cruising

scoundrel [369]

Answer:

effeciency n = = 49%

Explanation:

given data:

mass of aircraft 3250 kg

power P = 1500 hp = 1118549.81 watt

time = 12.5 min

h = 10 km = 10,000 m

v =85 km/h = 236.11 m/s

$n = \frac{P_0}{P}$

$P_o = \frac{total\ energy}{t} = \frac{ kinetic \energy + gravitational\ energy}{t}$

kinetic energy $= \frac{1}{2} mv^2 =\frac{1}{2} 3250* 236 = 90590389.66 kg m^2/s^2$

kinetic energy $= 90590389.66 kg m^2/s^2$

gravitational energy $= mgh = 3250*9.8*10000 = 315500000.00 kg m^2/s^2$

total energy $= 90590389.66 +315500000.00 = 409091242.28 kg m^2/s^2$

$P_o =\frac{409091242.28}{750} = 545454.99 j/s$

$effeciency\ n = \frac{P_o}{P} = \frac{545454.99}{1118549.81} = 0.49$

effeciency n = = 49%

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2 years ago