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Mechanics, SPEC2 2021 VCAA 14 MC

A body of mass 5 kg is acted on by a net force of magnitude `F` newtons. This force causes the body to move so that its velocity,  `v\ text(ms)^(-1)`, along a straight line of motion is given by  `v = 3 + 2x`, where `x` metres is the position of the body at time `t` seconds.

When  `x = 2, F` is equal to

  1. 10
  2. 14
  3. 35
  4. 70
  5. 175
Show Answers Only

`D`

Show Worked Solution
`a` `= v · (dv)/(dx)`
  `= (3 + 2x) · 2`

 
`text(Find)\ F\ text(when)\ x = 2:`

`F` `= ma`
  `= 5 xx 2(3 + 2 xx 2)`
  `= 70\ text(N)`

 
`=>\ D`

Filed Under: Force, Momentum and Motion (SM) Tagged With: Band 4, smc-1174-10-Force and motion

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