A textbook of mass 2.09 kg rests on a frictionless, horizontal surface. A cord attached to the book passes over a pulley whose diameter is 0.190 m, to a hanging book with mass 3.08 kg. The system is released from rest, and the books are observed to move a distance 1.26 m over a time interval of 0.800 s.

Respuesta :

Answer:

The tension in the part of the cord attached to the textbook is 6.58 N.

Explanation:

Given that,

Mass of textbook = 2.09 kg

Diameter = 0.190 m

Mass of hanging book = 3.08 kg

Distance = 1.26 m

Time interval = 0.800 s

Suppose,we need to calculate the tension in the part of the cord attached to the textbook

We need to calculate the acceleration

Using equation of motion

[tex]y=ut+\dfrac{1}{2}at^2[/tex]

[tex]a=\dfrac{2y}{t^2}[/tex]

Put the value into the formula

[tex]a=\dfrac{2\times1.26}{0.800}[/tex]

[tex]a=3.15\ m/s^2[/tex]

We need to calculate the tension

When the book is moving with acceleration

Using formula of tension

[tex]T=ma[/tex]

[tex]T=2.09\times3.15[/tex]

[tex]T=6.58\ N[/tex]

Hence, The tension in the part of the cord attached to the textbook is 6.58 N.