340 Views

the body of mass 21kg is dragged on the horizontal rough road with a constant speed of 20km/hr if coefficient of friction is 0.5 find the heat generated in one hour (g=10m/s2 , j=4200j/kcal


psaichaitanyareddy038 1st Aug, 2020
Answers (2)
Abhay Tyagi 1st Aug, 2020

Hello,

Solution for the question is given below:

j=4200j/kcal (given)

g=10m/s2 (given)

Work Done=F*displacement Coefficient of friction*m*g*(v*t)W

=0.5*21*10*(20*36500)

=7,560,000

Heat Generated=7,560,000/4186

=806.02 w

Thank You!



Prabhav Sharma 1st Aug, 2020

Hello,

We know that heat generated by the body will be the total work done by the body.

And, work done by the body is given by the relation, W = Force * Displacement

Also, Force = coefficient of friction * mass * acceleration due to gravity

Therefore, W = coefficient of friction * mass * acceleration due to gravity * displacement (Equation 1)

Now, Coefficient of friction = 0.5 (Given)

Mass = 21 KG (Given)

Acceleration due to gravity = 10 m/s^2 (Given)

Speed = 20 Km/hr, therefore distance travelled in 1 hour will be: 20Km = 20000 m (Given)

Now substituting the values in Equation 1, we get:

W = 0.5 * 21 * 10 *20000 = 2.1 * 10^6 J (Answer)

Also, we know, 1 kcal = 4200 J

Therefore, work done = (2.1 * 10^6) /4200 = 500 kcal (Answer)

Hope it is clear to you!

Related Questions

East Point College | BBA Admi...
Apply
NBA Accredited | AICTE Approved
TAPMI MBA 2025 | Technology M...
Apply
MBA Admission Open in Technology Management and AI & Data Science | NAAC A++ | Institution of Eminence | Assured Scholarships
Amity University, Noida Law A...
Apply
700+ Campus placements at top national and global law firms, corporates, and judiciaries
East Point College | MBA Admi...
Apply
NBA Accredited | AICTE Approved
Chitkara University MBA Admis...
Apply
NAAC A+ Accredited | 100% CAMPUS RECRUITMENT
Amrita Vishwa Vidyapeetham | ...
Apply
Recognized as Institute of Eminence by Govt. of India | NAAC ‘A++’ Grade | Upto 75% Scholarships | Extended Application Deadline: 30th Jan
View All Application Forms

Download the Careers360 App on your Android phone

Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile

150M+ Students
30,000+ Colleges
500+ Exams
1500+ E-books