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3 years ago

A transverse wave is propagated in a string stretched along the x-axis. The equation of the wave, in SI units, is given by:

Physics

1 answer:

irina [24]3 years ago

6 0

Answer:

The wave speed in SI units, is closest to - 2.7 m/s

Explanation:

given information:

y = 0.005 cos [π(38t - 14x)]

we know that the wave function is

y = A cos (kx ± ωt)

where

A = amplitude

w = angular velocity

k = wave number

thus,

y = 0.005 cos [(14πx - 38πt)]

ω = - 38π

k = 14π

to find the speed v, we use the equation below

v = ω/k

so,

v = - 38π/14π

= - 2.7 m/s

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3 years ago

A weather balloon has a volume of 35 L at sea level (1.0 atm). After the balloon is released it rises to where the air pressure

Mamont248 [21]

Answer:

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V₁ = 35 L

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P₁V₁ = P₂V₂

Solution:

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3 years ago

As part of your daily workout, you lie on your back and push with your feet against a platform attached to two stiff springs arr

zubka84 [21]

Answer:

$894.12\ \text{N}$

$284.013\ \text{J}$

Explanation:

U = Energy = 76 J

x = Displacement of spring = 0.17 m

k = Spring constant

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$U=\dfrac{1}{2}kx^2\\\Rightarrow k=\dfrac{2U}{x^2}\\\Rightarrow k=\dfrac{2\times 76}{0.17^2}\\\Rightarrow k=5259.51\ \text{Nm}$

Force is given by

$F=kx\\\Rightarrow F=5259.51\times 0.17\\\Rightarrow F=894.12\ \text{N}$

The magnitude of force must you apply to hold the platform is $894.12\ \text{N}$ .

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$U=\dfrac{1}{2}kx^2\\\Rightarrow U=\dfrac{1}{2}\times 5259.51\times 0.37^2\\\Rightarrow U=360.013\ \text{J}$

Additional energy

$360.013-76=284.013\ \text{J}$

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