(D) Given:Velocity $v = 7.2 \text{ km/hr} = 7.2 \times \frac{5}{18} = 2 \text{ m/s}$.Slope is $1$ in $20$, so $\sin \theta = \frac{1}{20}$.Mass $m = 1

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

(D) Given:Velocity $v = 7.2 \text{ km/hr} = 7.2 \times \frac{5}{18} = 2 \text{ m/s}$.Slope is $1$ in $20$, so $\sin \theta = \frac{1}{20}$.Mass $m = 100 \text{ kg}$.Acceleration due to gravity $g = 9.8 \text{ m/s}^2$.When the man and cycle move up the hill, the component of weight opposing the motion is $F = mg \sin \theta$.The power $P$ required is given by $P = F \times v$.$P = (mg \sin \theta) \times v$.$P = 100 \times 9.8 \times \left( \frac{1}{20} \right) \times 2$.$P = 98 \text{ W}$.

Class 11 Physics Work, Energy, Power and Collision Power

Medium

$A$ man is riding a cycle with a velocity of $7.2 \text{ km/hr}$ up a hill having a slope of $1$ in $20$. The total mass of the man and the cycle is $100 \text{ kg}$. The power of the man is ............ $\text{W}$. (in $\text{ W}$)

A
$200$
B
$175$
C
$125$
D
$98$

Explore More

Browse All

Question Bank

All Subjects

Class 11 Questions

Class 11

Physics Questions

Chapter

Work, Energy, Power and Collision

Subtopic

Power

The force acting on a particle moving in a straight line varies with the velocity of the particle as $F = \frac{K}{v}$,where $K$ is a constant. The work done by this force in time $t$ is

Medium

View Solution

An engine pumps water through a hose pipe. Water passes through the pipe and leaves it with a velocity of $2\, m/s$. The mass per unit length of water in the pipe is $100\, kg/m$. What is the power of the engine $?$ ................ $W$

MediumAIPMT 2010

View Solution

An engine is dragging a mass of $5000 \ kg$ with a velocity of $5 \ ms^{-1}$ along a smooth inclined plane of inclination $1$ in $50$. Then the power of the engine is (in $kW$)

MediumTS EAMCET 2023

View Solution

Air strikes the blades of a windmill with a speed of $v$. The power generated is proportional to which of the following?

Medium

View Solution

$A$ force applied by an engine on a train of mass $2.05 \times 10^6 \ kg$ changes its velocity from $5 \ m/s$ to $25 \ m/s$ in $5 \ minutes$. The power of the engine is (in $MW$)

DifficultAP EAMCET 2001

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

$A$ man is riding a cycle with a velocity of $7.2 \text{ km/hr}$ up a hill having a slope of $1$ in $20$. The total mass of the man and the cycle is $100 \text{ kg}$. The power of the man is ............ $\text{W}$. (in $\text{ W}$)

Similar Questions

The force acting on a particle moving in a straight line varies with the velocity of the particle as $F = \frac{K}{v}$,where $K$ is a constant. The work done by this force in time $t$ is

An engine pumps water through a hose pipe. Water passes through the pipe and leaves it with a velocity of $2\, m/s$. The mass per unit length of water in the pipe is $100\, kg/m$. What is the power of the engine $?$ ................ $W$

An engine is dragging a mass of $5000 \ kg$ with a velocity of $5 \ ms^{-1}$ along a smooth inclined plane of inclination $1$ in $50$. Then the power of the engine is (in $kW$)

Air strikes the blades of a windmill with a speed of $v$. The power generated is proportional to which of the following?

$A$ force applied by an engine on a train of mass $2.05 \times 10^6 \ kg$ changes its velocity from $5 \ m/s$ to $25 \ m/s$ in $5 \ minutes$. The power of the engine is (in $MW$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module