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A rope pulls a 32.5-kg block upward with a constant acceleration of 5.21 meters per second squared. What is the tension in the rope? (a) 150 N(b) 488 N(c) 624 N(d) 748 N

A rope pulls a 325kg block upward with a constant acceleration of 521 meters per second squared What is the tension in the rope a 150 Nb 488 Nc 624 Nd 748 N class=

Respuesta :

Free body diagram:

The free body equation is given as,

[tex]T-mg=ma[/tex]

Therefore, tension in the rope T is given as,

[tex]T=m(g+a)[/tex]

Subsriruring all known values,

[tex]\begin{gathered} T=32.5\times(9.81+5.21) \\ =488.15\text{ N} \end{gathered}[/tex]

Therefore, the tension in the rope is 488.15 N. Hence, option (b); 488 N is the best choice.

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