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2 years ago

According to the Hooke’s law formula, the force is proportional to what measurement?

Physics

2 answers:

vesna_86 [32]2 years ago

8 0

According to Hooke's Law formula. The force is proportional to the displacement of the spring. I believe

Advocard [28]2 years ago

3 0

Answer: The correct answer is the displacement of the spring.

Explanation:

Hooke's Law is used to determine the force applied when a spring is compressed or extended. The formula for Hooke's Law is given by the equation:

$F\propto x$

Removing proportionality sign,

$F=kx$

where,

F = force applied on the spring

k = Spring constant

x = Compression or extension of the spring. In other words it is the displacement of the spring.

Hence, from above relation, it is visible that force is directly proportional to the displacement of the spring.

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Answer:

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3 years ago

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OLga [1]

Answer:

$\theta = 106.3 degree$

Explanation:

As we know that

$\vec w = -\hat i + 7\hat j$

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also we know that

$\vec v. \vec w = -14$

it is given as

$\vec v. \vec w = (-\hat i + 7\hat j).(7\hat i - \hat j)$

$\vec v. \vec w = - 7 - 7 = -14$

also we can find the magnitude of two vectors as

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similarly we have

$|w| = \sqrt{(7^2) + (-1)^2}$

$|w| = \sqrt{50}$

now we know the formula of dot product as

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$-14 = (\sqrt{50})^2cos\theta$

$\theta = cos^{-1}(\frac{-14}{50})$

$\theta = 106.3 degree$

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3 years ago

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