356 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

Amity University Noida B.Tech...
Apply
Among Top 30 National Universities for Engineering (NIRF 2024) | 30+ Specializations | AI Powered Learning & State-of-the-Art Facilities
Amrita University B.Tech 2026
Apply
Recognized as Institute of Eminence by Govt. of India | NAAC ‘A++’ Grade | Upto 75% Scholarships
Amity University, Noida | Law...
Apply
700+ Campus placements at top national and global law firms, corporates and judiciaries
Great Lakes Institute of Mana...
Apply
Admissions Open | Globally Recognized by AACSB (US) & AMBA (UK) | 17.8 LPA Avg. CTC for PGPM 2025
Manav Rachna University Law A...
Apply
Admissions open for B.A. LL.B. (Hons.), B.B.A. LL.B. (Hons.) and LL.B Program (3 Years) | School of Law, MRU ranked No. 1 in Law Schools of Excelle...
Nirma University Law Admissio...
Apply
Grade 'A+' accredited by NAAC | Ranked 33rd by NIRF 2025
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