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mr_godi [17]
3 years ago
8

One

Physics
1 answer:
Aleonysh [2.5K]3 years ago
3 0

Answer:

8.0 mm

Explanation:

Force of a spring is:

F = kx

where k is the spring constant and x is the displacement.

When the force is equal to Ben's weight:

mg = kx

(180 kg) (9.8 m/s²) = (220,000 N/m) x

x = 0.0080 m

The spring compresses 0.0080 m, or 8.0 mm.

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Answer:

F = 0.78[N]

Explanation:

The given values correspond to forces, we must remember or take into account that the forces are vector quantities, that is, they have magnitude and direction. Since we have two X-Y coordinate axes (two-dimensional), we are going to decompose each of the forces into the X & y components.

<u>For F₁</u>

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<u>For F₂</u>

F_{x}=2*cos(60)\\F_{x}=1[N]\\F_{y}=-2*sin(60)\\F_{y}=-1.73[N]

<u>For F₃</u>

<u />F_{x}=-1*sin(60)\\F_{x}=-0.866[N]\\F_{y}=1*cos(60)\\F_{y}=0.5 [N]<u />

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Now using the Pythagorean theorem we can find the total force.

F=\sqrt{(0.134)^{2} +(0.77)^{2}}\\F= 0.78[N]

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