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A mass of 790 kg is hanging from a crane (neglect the mass of the cable and the hook). While the mass is being lowered, it is speeding up with 2.7 m/s2. What is the tension on the cable

Respuesta :

Answer:

Explanation:

Given

mass of object hanging from crane is [tex]m=790\ kg[/tex]

mass is speeding up with [tex]a=2.7\ m/s^2[/tex]

If T is the Tension in the cable then

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

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

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

[tex]T=790\times (9.8-2.7)[/tex]

[tex]T=790\times 7.1[/tex]

[tex]T=5609\ N[/tex]

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