Question

A $500kg$ horse pulls a cart of mass $1500kg$ along a level road with an acceleration of $1m{s}^{-2}$. If the coefficient of sliding friction is $0.2$, then the force exerted by the horse in forward direction is

• A. $4500N$
• B. $4000N$
• C. $5000N$
• D. $6000N$

Answer 1

The correct option is A $4500N$

Given that,

Mass of horse = $500$ kg

Mass of cart = $1500$ kg

Acceleration = $1$ m/s²

Friction coefficient = $0.2$

Now, the force by the horse

Net force in forward direction = Accelerating force + friction

$F=ma+\mu mg$

Now, put the value

$F=m(a+\mu g)$

$F=\left(1500\right)(1+0.2\times 10)$

$F=1500\times 3$

$F=4500N$

Hence, the force exerted by the horse in forward direction is $4500$ N