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!
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!
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