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3 years ago

A vertically hung spring has a spring constant of 150. newtons per meter. A

1 answer:

7 0

Based on Hooke's law, the force a spring exerts is negative based on the elongation length. Therefore, since a 2.00 kilogram weight exerts 20 Newtons (gravitation acceleration constant = 10), than the spring must pull back with -20 Newtons. This means that -20 = -kx, where k = spring constant and x = elongation length. k = 150, so that means that x = 20/150, or 2/15 meters.

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3 years ago

A transverse, travelling wave on a chord is represented by = 0.22sin (5.6 + 34) where and are in meters and is in seconds. For t

Neko [114]

Answer:

A) 1.122 m

B) 5.4 hertz

C) 6.06 m/s ( towards negative x axis )

D) 0.22

E) max speed = amplitude * 34

= 0.22 * 34 = 7.48

minimum speed ( speed at rest ) = 0

Explanation:

The travelling wave = D = 0.22sin ( 5.6x + 34t)

this wave is represented in the form : D = Asin ( kx + wt)

A) wavelength

k = 2 $\pi$ / v

v = wavelength

k = 5.6

therefore wavelength ( v ) from the equation = 2 $\pi$ / 5.6 = 1.122 m

B ) frequency

w = 2 $\pi$ f

w = 34

f = frequency

therefore f = w / 2 $\pi$ = 34 / 2 $\pi$ = 5.4 hertz

C ) velocity

speed = f v

v = 5.4 * 1.122 = 6.06 m/s ( towards negative x axis )

D) amplitude

A = 0.22

E ) maximum and minimum speeds of particles on the chord

max speed = amplitude * 34

= 0.22 * 34 = 7.48

minimum speed ( speed at rest ) = 0

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3 years ago