A crate slides across a long

PHYSICS · Subjective · CBSE · Physics · Laws of Motion · Laws of Motion

Problem

10\,\text{kg}

crate slides across a long, level surface at a constant speed of

4.0\,\text{m}\,\text{s}^{-1}

. The coefficient of kinetic friction depends on speed according to

\mu_k = 0.22 + 0.01v

, where

v

is in

\text{m}\,\text{s}^{-1}

. In addition, the crate experiences a horizontal air–drag force whose magnitude is given by

F_d = 0.50v^2

, with

F_d

in newtons when

v

is in

\text{m}\,\text{s}^{-1}

. Determine the magnitude of the horizontal pulling force required to keep the crate moving at the stated speed.