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Linandrew41go
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Help please!

An object of mass m is oscillating with a period T. The position x of the object as a function of time is given by the equation x(t)=Acosωt . The maximum net force exerted on the object while it is oscillating has a magnitude F. Which of the following expressions is correct for the maximum speed of the object during its motion?

Help Please An Object Of Mass M Is Oscillating With A Period T The Position X Of The Object As A Function Of Time Is Given By The Equation XtAcosωt The Maximum class=

Answer :

Onyebuchinnajigo

The correct expression for the maximum speed of the object during its motion is [tex]\frac{FT}{m}[/tex].

Maximum speed of the object

The maximum speed of the object is determined using the following formulas;

v(max) = Aω

where;

  • A is the amplitude of the motion
  • ω is angular speed

The maximum speed of the object can also be obtained from the maximum net force on the object,

F = ma

where;

  • F is the maximum net force
  • a is the acceleration
  • m is mass of the object

F = m(v/t)

mv = Ft

v = Ft/m

Thus, the correct expression for the maximum speed of the object during its motion is [tex]\frac{FT}{m}[/tex].

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