A 1000 kg crate is being lowered into a ship's hold with an acceleration of 2 ms-2. The tension in the rope is ____N ?

1 Answer
Nam D.
Jun 22, 2018

#11800# newtons

Explanation:

Because the object is being lowered towards the direction of gravity, tension will be given by the equation:

#T=W+F#

where:

  • #W# is the weight of the object in newtons

  • #F# is the force exerted on the object in newtons

We know that #W=mg, F=ma#, where:

  • #m# is the mass of the object in kilograms

  • #a# is the acceleration of the object in meters per second squared

  • #g# is the gravitational acceleration, which is around #9.8 \ "m/s"^2# on Earth

So, we get:

#T=mg+ma#

#=m(g+a)#

#=1000 \ "kg"(9.8 \ "m/s"^2+2 \ "m/s"^2)#

#=1000 \ "kg"*11.8 \ "m/s"^2#

#=11800 \ "N"#

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