A motor does \(600\,\mathrm{J}\) of work in \(4.0\,\mathrm{s}\). Find its average power.

A device transfers \(2.5\,\mathrm{kJ}\) of energy in \(10\,\mathrm{s}\). Find the average power in watts.

A \(40\,\mathrm{N}\) force acts in the direction of motion while an object moves at \(3.0\,\mathrm{m\,s^{-1}}\). Find the instantaneous power.

A force is perpendicular to an object's velocity. What is the instantaneous power from that force?

A \(70\,\mathrm{kg}\) person climbs \(3.0\,\mathrm{m}\) vertically in \(5.0\,\mathrm{s}\). Find the average power output against gravity.

A \(25\,\mathrm{N}\) force acts at \(60^\circ\) to the velocity of an object moving at \(4.0\,\mathrm{m\,s^{-1}}\). Find the power.

A pump has output power \(800\,\mathrm{W}\). How much energy does it transfer in \(2.5\,\mathrm{min}\)?

A \(1200\,\mathrm{kg}\) car travels at constant speed \(15\,\mathrm{m\,s^{-1}}\) against resistive forces of \(500\,\mathrm{N}\). Find the engine power delivered to maintain the speed.

A \(20\,\mathrm{kg}\) package is lifted \(12\,\mathrm{m}\) in \(4.0\,\mathrm{s}\) at constant speed. Find the average power needed.

A cyclist and bicycle have total mass \(80\,\mathrm{kg}\), climb a \(5.0^\circ\) slope at \(6.0\,\mathrm{m\,s^{-1}}\), and experience \(20\,\mathrm{N}\) drag. Find the required mechanical power.

A force \(\vec{F}=30\hat{\imath}-10\hat{\jmath}\,\mathrm{N}\) acts on an object with velocity \(\vec{v}=2\hat{\imath}+4\hat{\jmath}\,\mathrm{m\,s^{-1}}\). Find the instantaneous power.

A machine delivers \(1.2\,\mathrm{kW}\) for \(15\,\mathrm{s}\). It raises a \(50\,\mathrm{kg}\) load vertically at constant speed. Find the height gained.

A \(1000\,\mathrm{kg}\) car increases speed from \(10\,\mathrm{m\,s^{-1}}\) to \(20\,\mathrm{m\,s^{-1}}\) in \(6.0\,\mathrm{s}\). Ignoring losses, find the average power transferred to kinetic energy and the average net force over this interval.

A motor with useful output power \(900\,\mathrm{W}\) pulls a box at constant speed \(2.5\,\mathrm{m\,s^{-1}}\). Find the pulling force in the direction of motion and the work done in \(40\,\mathrm s\).

A \(150\,\mathrm{kg}\) sled is pulled up an \(8.0^\circ\) slope at constant speed. The coefficient of kinetic friction is \(0.10\). A motor can deliver \(2.4\,\mathrm{kW}\), but \(15\%\) is lost to drivetrain inefficiency. Find the maximum constant speed.

A \(20\,\mathrm{kg}\) package is lifted \(12\,\mathrm{m}\) in \(4.0\,\mathrm{s}\), starting from rest and ending at \(3.0\,\mathrm{m\,s^{-1}}\). Find the average power transferred to the package and the average upward force exerted by the lifter over the interval.