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neonofarm [45]
4 years ago
6

a metal bal is held at rest H=65.0 cm above the floor. The ball is released with no initial velocity. How much time does it take

to hit the floor?
Physics
1 answer:
Fofino [41]4 years ago
5 0

<u>Answer: </u>

Metal ball will take 0.364 seconds to reach floor.

<u>Explanation: </u>

Initial height from ground = 65 cm = 0.65 meter

We have equation of motion , s= ut+\frac{1}{2} at^2, s is the displacement, u is the initial velocity, a is the acceleration and t is the time.

In this the velocity of body in vertical direction = 0 m/s, acceleration =acceleration due to gravity = 9.8 m/s^2, we need to calculate time when s = 0.65 meter.

Substituting

0.65=0*t+\frac{1}{2} *9.8*t^2\\ \\ t = 0.364 seconds

So it will take 0.364 seconds to reach floor.

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The quadriceps muscles pull on the patella simultaneously. Below are the forces from each
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Based on the calculation of the resultant of vector forces:

  1. the resultant force due to the quadriceps is 1795 N
  2. the resultant force due to the quadriceps is 1975 N. Training and strengthening the vastus medialis results in a greater force of muscle contraction.

<h3>What is the resultant force due to the quadriceps?</h3>

The resultant of more than two vector forces is given by:

  • F = √Fₓ² + Fₙ²

where:

  • Fₓ is the sum of the horizontal components of the forces
  • Fₙ is the sum of the vertical components of the forces
  • Fx = F₁cosθ + F₂cosθ + F₃cosθ + F₄cosθ
  • Fₙ = F₁sinθ + F₂sinθ + F₃sinθ + F₄sinθ
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  • F₂ = 220 N, θ = 90 + 16 = 106°
  • F₃ = 600 N, θ = 90 + 15 = 105°
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Therefore, the resultant force due to the quadriceps is 1795 N

<h3>What would happen if the vastus medialis was trained and strengthened to contract with 720N of force?</h3>

From the new information provided:

  • F₁ = 680N, θ = 90 = 30 = 120°
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  • F₃ = 600 N, θ = 90 + 15 = 105°
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Fx = 680 * cos 120 + 220 * cos 106 + 600 * cos 105 + 720 * cos 55

Fx = -142.95 N

Fₙ = 680 * sin 120 + 220 * sin 106 + 600 * sin 105 + 720 * sin 55

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F = √(-142.95)² + ( 1969.72)²

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Therefore, the resultant force due to the quadriceps is 1975 N.

Training and strengthening the vastus medialis results in a greater force of muscle contraction.

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