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FromTheMoon [43]
2 years ago
7

What is the least number of forces required to stretch a spring?

Physics
1 answer:
Solnce55 [7]2 years ago
7 0

Answer:

The least number of forces required to stretch a spring is one.

Explanation:

Let suppose that spring is ideal, that is, that effects from its mass can be neglected since it is insignificant in comparison with external forces. In addition, let the spring have a linear behavior, meaning that net external longitudinal force exerted on spring is directly proportional to defomation. (Hooke's Law) That is:

F \propto x (1)

F = k\cdot x (2)

Where:

F - Net external force, measured in newtons.

k - Spring constant, measured in newtons per meter.

x - Deformation of spring, measured in meters.

Hence, the least number of forces required to stretch a spring is one.

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What is the car's speed at the bottom of the dip?The passengers in a roller coaster car feel 50% heavier thantheir true weight a
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Answer:

v = 14 m/s

Explanation:

given,

radius of dip = 40 m

The passengers in a roller coaster car feel 50% heavier than their true weight.

Apparent weight

A = W + \dfrac{W}{2}

A =\dfrac{3W}{2}

A =\dfrac{3mg}{2}

When the car is at the bottom,  the weight will be acting downwards and the centripetal force will also be acting downward where as Normal force which is apparent weight will be acting in upward direction.

now,

N = m g + \dfrac{mv^2}{r}

\dfrac{3mg}{2} = m g + \dfrac{mv^2}{r}

\dfrac{mg}{2} = \dfrac{mv^2}{r}

v = \sqrt{\dfrac{rg}{2}}

v = \sqrt{\dfrac{40\times 9.8}{2}}

v = 14 m/s

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