Average Power — MCQ Practice

A pump is used to lift $200\,\text{kg}$ of water through a vertical height of $50\,\text{m}$ in $10\,\text{s}$. Assuming the efficiency of the pump is $75\%$, what is the average electrical power consumed by the pump? (Take $g = 10\,\text{m/s}^2$)

A particle moves along a straight line such that its velocity varies with time as $v(t) = (2t^2 - 3t + 5),\text{m/s}$. If a constant force of $10\,\text{N}$ acts on the particle in the direction of motion, what is the average power delivered by the force in the first $2\,\text{s}$?

A block of mass $2\,\text{kg}$ is pulled up an inclined plane of angle $30^\circ$ with a constant speed of $2\,\text{m/s}$. If the coefficient of kinetic friction between the block and the plane is $0.2$, what is the average power required to pull the block? (Take $g = 10\,\text{m/s}^2$)

An object of mass $m$ is dropped from rest from a height $H$. What is the average power delivered by gravity during the fall?

A particle moves under the influence of a force $F = (3x^2 + 2x),\text{N}$ from $x=0$ to $x=2\,\text{m}$. If the time taken for this displacement is $4\,\text{s}$, what is the average power delivered by the force?

A car of mass $1000\,\text{kg}$ accelerates from rest to $20\,\text{m/s}$ in $5\,\text{s}$. What is the average power developed by the engine during this period, assuming no energy loss due to friction or air resistance?

A constant force $F$ acts on a body of mass $m$ initially at rest. If the force acts for a time $t$, what is the average power delivered by the force?