Question

Question #96660

Answer 1

`F = 12,525 N" (answer C)"`

Explanation:

`x = v_0 t + a t^2/2`
`v = v_0 + a t`
`v = 0 => t = -v_0/a => x = -v_0^2 / (2a)`

`30^2 / (2a) = -53.5`
`=> a = -8.41 m/s^2`
`20^2 / (2a) = -23.9`
`=> a = -8.37 m/s^2`
`10^2 / (2a) = -6.1`
`=> a = -8.20 m/s^2`

`=> a = -8.35 m/s^2`
`=> F = m a = 1,500 * 8.35 = 12,525 N`