An adult weighing $600 \, N$ raises the centre of gravity of his body by $0.25 \, m$ while taking each step of $1 \, m$ length in jogging. If he jogs for $6 \, km$,calculate the energy utilised by him in jogging assuming that there is no energy loss due to friction of ground and air. Assuming that the body of the adult is capable of converting $10 \, \%$ of energy intake in the form of food,calculate the energy equivalents of food that would be required to compensate for the energy utilised for jogging.

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(N/A) Given: Weight of adult $W = mg = 600 \, N$,height raised per step $h = 0.25 \, m$,step length $l = 1 \, m$,total distance $d = 6 \, km = 6000 \, m$.
Total number of steps $n = \frac{d}{l} = \frac{6000 \, m}{1 \, m} = 6000$.
Energy utilised per step $E_{step} = mgh = 600 \, N \times 0.25 \, m = 150 \, J$.
Total energy utilised in jogging $E_{total} = n \times E_{step} = 6000 \times 150 \, J = 9 \times 10^5 \, J$.
Given that the body converts $10 \, \%$ of food energy intake into work,let $E_{food}$ be the total energy intake.
$0.10 \times E_{food} = 9 \times 10^5 \, J$.
$E_{food} = \frac{9 \times 10^5}{0.10} = 9 \times 10^6 \, J$.

Explore More

Similar Questions

Write the definition of work and kinetic energy.

$A$ string is used to pull a block of mass $m$ vertically up by a distance $h$ at a constant acceleration $\frac{g}{4}$. The work done by the tension in the string is ...............

$A$ uniform rope of length $4 \,m$ and mass $0.4 \,kg$ is held on a frictionless table in such a way that $0.6 \,m$ of the rope is hanging over the edge. The work done to pull the hanging part of the rope onto the table is, (Assume $g = 10 \,m/s^2$) (in $\,J$)

$A$ body of mass $5\, kg$ is placed at the origin and can move only on the $x$-axis. $A$ force of $10\, N$ is acting on it in a direction making an angle of $60^\circ$ with the $x$-axis and displaces it along the $x$-axis by $4\, m$. The work done by the force is $...\, J$.

$A$ body of mass $m$ starts from rest and acquires a velocity $v$ in time $t_1$. The work done in time $t$ is proportional to:

Difficult
View Solution

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