URGENT!
An object of mass 0.305 kg is suspended from a ceiling with a string of length ℓ =2.40 m. The mass swings through an angle θ, moving from position A to position B before reversing its direction of motion. If its speed at position A is 2.25 m/s, what is the angle θ? (Air resistance is negligible.)

URGENT An object of mass 0305 kg is suspended from a ceiling with a string of length ℓ 240 m The mass swings through an angle θ moving from position A to positi class=

Respuesta :

The value of  angle θ through which the mass moves through is 12.15⁰.

What is acceleration?

The acceleration of an object is the rate of change of velocity of the object with time.

Acceleration of the mass

The acceleration of the mass is calculated as follows;

a = v²/r

where;

  • v is speed of the mass
  • r is radius of the circular path

a = (2.25²)/(2.4)

a = 2.11 m/s²

Angle of the inclination

tan θ = a/g

where;

  • g is acceleration due to gravity

tan θ = 2.11 / 9.8

tan θ = 0.215

θ = tan⁻¹(0.215)

θ = 12.15⁰

Thus, the value of  angle θ through which the mass moves through is 12.15⁰.

Learn more about angle of inclination here: https://brainly.com/question/2763627

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