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A 1.5 kg frictionless pendulum is released from point A at an angle θ of 35 degrees. The speed of the pendulum at point C is 3.4 m/s. What is the length of the pendulum?

A) 3.3m
B) 0.72m
C) 0.59m
D) 8.7m

Respuesta :

onyebuchinnaji

The length of the pendulum is 3.3 m.

The given parameters:

  • Mass, m = 1.5 kg
  • Angle, θ = 35⁰
  • Speed, v = 3.4 m/s

What is principle of conservation of energy?

  • The principle of conservation of energy states that, the total energy of a system is always conserved.

P.E = K.E

mgh = ¹/₂mv²

gh = ¹/₂v²

g(L - Lcosθ) = ¹/₂v²

gL(1 - cosθ) = ¹/₂v²

[tex]L = \frac{v^2}{2g(1- cos\theta)} \\\\L = \frac{(3.4)^2}{2\times 9.8(1 - cos35)} \\\\L = 3.28 \ m\\\\L = 3.3 \ m[/tex]

Thus, the length of the pendulum is 3.3 m.

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