The tension in a string from which a 4.0 kg object is suspended in an elevator is equal to 44 N. What is the acceleration of the elevator, if upward is the positive direction. Write the numerical value only with 2 decimal places. Do not write the unit. If the acceleration is negative (downward) include the negative sign in your answer.

Respuesta :

Answer: 1

Explanation:

Given

Tension is the string [tex]T=44\ N[/tex]

mass of object [tex]m=4\ kg[/tex]

Tension is greater than the weight of the object i.e. elevator is moving upward

we can write

[tex]\Rightarrow T-mg=ma\\\Rightarrow T=m(g+a)\\\Rightarrow 44=4(10+a)\\\Rightarrow 11=10+a\\\Rightarrow a=1\ m/s^2[/tex]