A \(5.0\,\mathrm{kg}\) box rests on a horizontal surface. Find the normal reaction.

A sliding object has \(N=50\,\mathrm{N}\) and \(\mu_k=0.20\). Find the kinetic friction magnitude.

A surface has \(\mu_s=0.40\) and \(N=100\,\mathrm{N}\). Find the maximum static friction.

A box remains at rest while pushed right by \(15\,\mathrm{N}\). What is the static friction force?

A \(10.0\,\mathrm{kg}\) box on a horizontal floor has \(\mu_s=0.30\). A \(25\,\mathrm{N}\) horizontal push is applied. Does the box move?

The same \(10.0\,\mathrm{kg}\) box is pushed by \(40\,\mathrm{N}\). If \(\mu_k=0.20\) once it slides, find the kinetic friction magnitude.

A \(4.0\,\mathrm{kg}\) block slides on a horizontal surface with \(\mu_k=0.25\). Find its acceleration due to friction.

A block rests on a \(20^\circ\) incline with \(\mu_s=0.50\). Decide whether static friction can hold it at rest.

Find the minimum horizontal force needed to start moving a \(12.0\,\mathrm{kg}\) crate on a floor with \(\mu_s=0.45\).

A block slides down a \(30^\circ\) incline with \(\mu_k=0.20\). Find its acceleration along the slope and the normal reaction in terms of \(m\).

A block is placed on a \(35^\circ\) incline. The coefficients are \(\mu_s=0.40\) and \(\mu_k=0.30\). Decide whether it slips, then find its acceleration if it does. Also find the minimum \(\mu_s\) required to keep it at rest at this angle.

A \(4.0\,\mathrm{kg}\) crate is pushed horizontally against a vertical wall with \(P=90\,\mathrm N\). Coefficients are \(\mu_s=0.50\), \(\mu_k=0.35\). Determine whether static equilibrium is possible. If not, find the downward acceleration once it slides.