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vivado [14]
3 years ago
7

Find the length of each vector below.

Physics
1 answer:
Leona [35]3 years ago
8 0

Answer:

a. 3.6 units

b. 1.4 units

c. 3.6 units

d. 6.1 units

Explanation:

The length of a vector is given by the following formula:

Length = √(x² + y²)

where,

x = x-component of vector

y = y-component of vector

a.

Here,

x = 2

y = 3

Therefore,

Length = √(2² + 3²)

Length = √13

<u>Length = 3.6 units</u>

<u />

b.

Here,

x = 1

y = 1

Therefore,

Length = √(1² + 1²)

Length = √2

<u>Length = 1.4 units</u>

<u />

c.

Here,

x = 2

y = -3

Therefore,

Length = √(2² + (-3)²)

Length = √13

<u>Length = 3.6 units</u>

<u />

d.

Here,

x = 1

y = -6

Therefore,

Length = √(1² + (-6)²)

Length = √37

<u>Length = 6.1 units</u>

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Now, at time t₁:

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A steel wire in a piano has a length of 0.680 m and a mass of 4.600 ✕ 10⁻³ kg. To what tension must this wire be stretched so th
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Answer:

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Explanation:

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T = tension force in the steel wire

Fundamental frequency in wire is given as

f = \frac{1}{2L} \sqrt{\frac{TL}{m} } \\261.6 = \frac{1}{2(0.680)} \sqrt{\frac{T(0.80)}{0.0046} }\\(2) (0.680) (261.6) = \sqrt{\frac{T(0.80)}{0.0046} }\\355.8 = \sqrt{\frac{T(0.80)}{0.0046} }\\355.8^{2} = \frac{T(0.80)}{0.0046}\\T = \frac{(355.8^{2}(0.0046))}{0.80} \\T = 728 N

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