Question

Question #b7a84

Answer 1

`F=480 N`

Explanation:

The special case of Newton's second law of motion relates resultant force and acceleration:
`F=ma`

The question specifies that the acceleration is uniform, so we can use the equations of uniform acceleration to determine the value of `a` for `F=ma`. 

Stage 1: Determine which "suvat" equation to use.
List all values we know:
`s: 32 m`
`u: 0 m s^(-1)`
`v: ×`
`a:?`
`t: 12.0 s`

So we need.to use the equation that does not have `v` in it, i.e. `s=ut +½ at^2`. 

Rearrange for the unknown, `a` (u=0 so ut=0), and substitute cakes into the equation. 
`s=½ at^2 ⇒ a=2s/t^2=(2 × 32) / 12^2 = 0.4444 m s^(-2)`

Stage 2 : Use that acceleration to calculate the force.
The mass of the pachyderm is given as 1080 kg.
`F=ma=1080×0.4444= 479.952 N`

To 3 s.f that is `F = 480 N`