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

Question

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 (A) 6000 N (B) 5000 N (C) 4000 N (D) 3000 N

Tardigrade Admin · Accepted Answer

Equation of motion of horse is F-f=M a or F=M a +f Force of friction f=μk N=μk M g So, F=M a+μk M g =M(a+μk g) ∴ F=(500+1500)(1+0.2 × 10) ⇒ F=6000 N

Q. A $500 k g$ horse pulls a cart of mass $1500 k g$ 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

6000 N

5000 N

4000 N

3000 N

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

Q. A 500kg horse pulls a cart of mass 1500kg along a level road with an acceleration of 1m/s2. If the coefficient of sliding friction 0.2. The horizontal force exerted by the earth on the horse is