$A$ man weighing $70 \,kg$ carries a weight of $10 \,kg$ to the top of a tower $100 \,m$ high. Calculate the work done.
(N/A) The work done by the man is equal to the change in the potential energy of the system (man + weight).
The total mass $m$ is the sum of the man's mass and the weight he carries:
$m = 70 \,kg + 10 \,kg = 80 \,kg$
The height $h$ is $100 \,m$.
Taking the acceleration due to gravity $g = 9.8 \,m/s^2$,the work done $W$ is calculated as:
$W = m \times g \times h$
$W = 80 \,kg \times 9.8 \,m/s^2 \times 100 \,m$
$W = 78400 \,J$ (or $7.84 \times 10^4 \,J$).
The total mass $m$ is the sum of the man's mass and the weight he carries:
$m = 70 \,kg + 10 \,kg = 80 \,kg$
The height $h$ is $100 \,m$.
Taking the acceleration due to gravity $g = 9.8 \,m/s^2$,the work done $W$ is calculated as:
$W = m \times g \times h$
$W = 80 \,kg \times 9.8 \,m/s^2 \times 100 \,m$
$W = 78400 \,J$ (or $7.84 \times 10^4 \,J$).
Explore More
Similar Questions
State whether the following statement is true or false:
In order to get minimum work,the angle between force and displacement should be $90^{\circ}$.
In order to get minimum work,the angle between force and displacement should be $90^{\circ}$.
Easy
View SolutionJustify,giving proper reasoning,whether the work done in the following case is positive or negative: Work done by an applied force on a body moving on a rough horizontal plane with uniform velocity.
Easy
View SolutionHow 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. $(g = 10 \, m s^{-2})$
Medium
View Solution$A$ ball is dropped from a height of $10 \, m$. If the energy of the ball reduces by $40 \%$ after striking the ground,how much high can the ball bounce back (in $, m$)? $(g = 10 \, m s^{-2})$
Medium
View SolutionAn iron sphere of mass $30 \, kg$ has the same diameter as an aluminium sphere whose mass is $10.5 \, kg$. The spheres are dropped simultaneously from a cliff. When they are $10 \, m$ from the ground,they have the same:
Easy
View SolutionVedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo