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  4. A 500 kg horse pulls a cart of mass 1500 kg along a level road with an acceleration of 1 m / s 2. If the coefficient of sliding friction 0.2. The horizontal force exerted by the earth on the horse is

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Q. A $500\, kg$ horse pulls a cart of mass $1500\, kg$ along a level road with an acceleration of $1\, m / s ^{2}$. If the coefficient of sliding friction $0.2$. The horizontal force exerted by the earth on the horse is

AMUAMU 2000

Solution:

Equation of motion of horse is $F-f=M a$
or $F=M a +f$
Force of friction
$f=\mu_{k} N=\mu_{k} M g$
So, $F=M a+\mu_{k} M g$
$=M\left(a+\mu_{k} g\right)$
$\therefore F=(500+1500)(1+0.2 \times 10)$
$\Rightarrow F=6000\, N$