(C) Mass of water pumped per minute = $2400 \; kg$. Mass of water pumped per second $(m)$ = $\frac{2400}{60} = 40 \; kg/s$. Velocity of water $(v)$ =

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

(C) Mass of water pumped per minute = $2400 \; kg$. Mass of water pumped per second $(m)$ = $\frac{2400}{60} = 40 \; kg/s$. Velocity of water $(v)$ = $3 \; m/s$. Kinetic energy per second (Power) = $\frac{1}{2} m v^2 = \frac{1}{2} \times 40 \times (3)^2 = 20 \times 9 = 180 \; W$ (or $J/s$). Total time $(t)$ = $10 \; hours = 10 \times 3600 = 36000 \; s$. Total work done = $\text{Power} \times \text{Time} = 180 \times 36000 = 6,480,000 \; J = 6.48 \times 10^6 \; J$.

Class 11 Physics Work, Energy and Power Power

Medium

$A$ tube-well pumps out $2400 \; kg$ of water per minute. If water is coming out with a velocity of $3 \; m/s$, how much work is done if the pump runs for $10 \; hours$?

A
$6.48 \times 10^2 \; J$
B
$5.48 \times 10^4 \; J$
C
$6.48 \times 10^6 \; J$
D
$5.48 \times 10^9 \; J$

Explore More

Browse All

Question Bank

All Subjects

Class 11 Questions

Class 11

Physics Questions

Chapter

Work, Energy and Power

Subtopic

Power

The power of a pump,which can pump $500 \,kg$ of water to a height of $100 \,m$ in $10 \,s$,is .......... $kW$. (Take $g = 10 \,m/s^2$)

Easy

View Solution

$A$ particle moves with a velocity $\vec v = 6\hat i - 4\hat j + 3\hat k \, m/s$ under the influence of a constant force $\vec F = 20\hat i + 15\hat j - 5\hat k \, N$. The instantaneous power applied to the particle is ......... $J/s$.

Medium

View Solution

$A$ body of mass $m$ accelerates uniformly from rest to $v_1$ in time $t_1$. As a function of time $t$,the instantaneous power delivered to the body is

DifficultAIEEE 2004

View Solution

An engine pumps water continuously through a hose. Water leaves the hose with a velocity $v$ and $m$ is the mass per unit length of the water jet. What is the rate at which kinetic energy is imparted to water?

MediumAIPMT 2009

View Solution

At any instant of time $t$, the displacement of a particle is given by $x = 2t - 1$ ($SI$ units) under the influence of a force of $5 \,N$. The value of instantaneous power is (in $SI$ units):

MediumNEET 2024

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

$A$ tube-well pumps out $2400 \; kg$ of water per minute. If water is coming out with a velocity of $3 \; m/s$, how much work is done if the pump runs for $10 \; hours$?

Similar Questions

The power of a pump,which can pump $500 \,kg$ of water to a height of $100 \,m$ in $10 \,s$,is .......... $kW$. (Take $g = 10 \,m/s^2$)

$A$ particle moves with a velocity $\vec v = 6\hat i - 4\hat j + 3\hat k \, m/s$ under the influence of a constant force $\vec F = 20\hat i + 15\hat j - 5\hat k \, N$. The instantaneous power applied to the particle is ......... $J/s$.

$A$ body of mass $m$ accelerates uniformly from rest to $v_1$ in time $t_1$. As a function of time $t$,the instantaneous power delivered to the body is

An engine pumps water continuously through a hose. Water leaves the hose with a velocity $v$ and $m$ is the mass per unit length of the water jet. What is the rate at which kinetic energy is imparted to water?

At any instant of time $t$, the displacement of a particle is given by $x = 2t - 1$ ($SI$ units) under the influence of a force of $5 \,N$. The value of instantaneous power is (in $SI$ units):

Vedclass Test Series

Exam Paper Generator

Online Exam Module