A \(3.0\,\mathrm{kg}\) object has a net force of \(12\,\mathrm{N}\). Find its acceleration.

A \(5.0\,\mathrm{kg}\) object accelerates at \(2.0\,\mathrm{m\,s^{-2}}\). Find the net force.

A \(4.0\,\mathrm{kg}\) cart has forces \(20\,\mathrm{N}\) right and \(8\,\mathrm{N}\) left. Find its acceleration.

A net force of \(18\,\mathrm{N}\) gives an object acceleration \(3.0\,\mathrm{m\,s^{-2}}\). Find its mass.

A \(2.0\,\mathrm{kg}\) object has acceleration \(\vec{a}=3\hat{\imath}+4\hat{\jmath}\,\mathrm{m\,s^{-2}}\). Find the net force vector.

A \(6.0\,\mathrm{kg}\) trolley is pulled right by \(36\,\mathrm{N}\) while friction is \(12\,\mathrm{N}\) left. Find its acceleration.

A \(4.0\,\mathrm{kg}\) cart starts from rest. A constant net force of \(16\,\mathrm{N}\) acts for \(3.0\,\mathrm{s}\). Find its final speed.

A \(6.0\,\mathrm{kg}\) cart starts from rest. It is pulled right by \(50\,\mathrm{N}\) while friction is \(14\,\mathrm{N}\) left for \(5.0\,\mathrm{s}\). Find its final speed and displacement.

A \(3.0\,\mathrm{kg}\) object has forces \(12\hat{\imath}\,\mathrm{N}\), \(9\hat{\jmath}\,\mathrm{N}\), and \(-6\hat{\imath}+3\hat{\jmath}\,\mathrm{N}\). Find acceleration magnitude and direction, then displacement vector after \(2.0\,\mathrm{s}\) from rest.

A \(5.0\,\mathrm{kg}\) sled moving at \(6.0\,\mathrm{m\,s^{-1}}\) enters a braking zone: for the first \(2.0\,\mathrm m\), net force is constant \(-8.0\,\mathrm N\); after that, force becomes a constant unknown \(F_2\) opposite motion. The sled must stop exactly at \(9.0\,\mathrm m\). Find \(F_2\).