$A$ man drops a $10 \, kg$ rock from the top of a $20 \, m$ ladder. What will be its kinetic energy when it reaches the ground? What will be its speed just before it hits the ground? (Take $g = 10 \, m s^{-2}$)

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(N/A) Given: Mass $m = 10 \, kg$,Height $h = 20 \, m$,Acceleration due to gravity $g = 10 \, m s^{-2}$.
$1$. Kinetic Energy $(KE)$ at the ground:
According to the law of conservation of energy,the potential energy $(PE)$ at the top is converted into kinetic energy $(KE)$ at the ground.
$PE = mgh = 10 \times 10 \times 20 = 2000 \, J$.
Therefore,$KE = 2000 \, J$.
$2$. Speed $(v)$ just before hitting the ground:
Using the formula $KE = \frac{1}{2} mv^2$:
$2000 = \frac{1}{2} \times 10 \times v^2$
$2000 = 5 \times v^2$
$v^2 = 400$
$v = \sqrt{400} = 20 \, m s^{-1}$.

Explore More

Similar Questions

Define $1\, W$ of power. $A$ lamp consumes $1000\, J$ of electrical energy in $10\, s$. Calculate its power.

$A$ 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: $g = 10 \, m s^{-2}$)

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 $(0)$.

Which would have a greater effect on the kinetic energy of an object - doubling the mass,or doubling the velocity?

State whether the following statement is true or false:
When an arrow is released from a bow,potential energy changes into kinetic energy.

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo