How is work done by a force measured? $A$ porter lifts a luggage of $20 \, kg$ from the ground and puts it on his head $1.7 \, m$ above the ground. Find the work done by the porter on the luggage. $(g = 10 \, m s^{-2})$

  • A
    Work is the product of force and displacement. The work done is $340 \, J$.
  • B
    Work is the product of force and displacement. The work done is $34 \, J$.
  • C
    Work is the product of force and displacement. The work done is $3.4 \, J$.
  • D
    Work is the product of force and displacement. The work done is $3400 \, J$.

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In each of the following cases,a force $F$ is acting on an object of mass $m$. The direction of displacement is from west to east,shown by the longer arrow. Observe the diagrams carefully and state whether the work done by the force is negative $(-ve)$,positive $(+ve)$,or zero $(0)$.

$A$ mass of $10 \, kg$ is dropped from a height of $50 \, cm$. Find its:
$(a)$ Potential energy just before dropping.
$(b)$ Kinetic energy just on touching the ground.
$(c)$ Velocity with which it hits the ground. (Given: $g = 10 \, m s^{-2}$)

$(a)$ Define kinetic energy.
$(b)$ The masses of a scooter and a bike are in the ratio of $2:3$,but they are moving with the same speed of $108 \, km/h$. Compute the ratio of their kinetic energy.

$(a)$ Derive an expression for the kinetic energy of a body having mass $m$ and moving with a velocity $v$.
$(b)$ When the velocity of a body is increased $5$ times,what is the change in its kinetic energy?
$(c)$ Two masses $m$ and $2m$ are dropped from heights $h$ and $2h$. On reaching the ground,which will have greater kinetic energy and why?

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