A force in the +x -direction with magnitude F(x)=18.0N−(0.530N/m)x is applied to a 7.90 kg box that is sitting on the horizontal, frictionless surface of a frozen lake. F(x) is the only horizontal force on the box.

if the box is initially at rest x=0, what is the speed after it has travelled 17.0m?

Explanation:

The equation of equlibrium for the box is:

The formula for the acceleration, given in , is:

Velocity can be derived from the following definition of acceleration:

The speed after the box has travelled 17 meters is:

ι вєℓιєνє ιт ιѕ тнє fιяѕт ¢нσι¢є(α.)

нє ѕнσυℓ∂ ѕмιℓє ρσℓιтℓу αи∂ ѕρєαк тσ тнє ρєяѕσи ωнσ ιѕ ιитєяяυριиg αfтєя тнє ∂ιѕ¢υѕѕισи

нσρє ι ¢συℓ∂ нєℓρ.

0.11 m/s and 0.28 m/s should be correct