Question

Five persons $A$ , $B$ , $C$ , $D$ and $E$ are pulling a cart of mass $100 \, kg$ on a smooth surface and the cart is moving with an acceleration of $3 \, m \, s^{- 2}$ in the east direction. If another person $F$ comes and starts pulling the cart with a force of $100 \, N$ due west, then the acceleration of the cart will be

• A. $2.5ms^{- 2}$
• B. $1ms^{- 2}$
• C. $2ms^{- 2}$
• D. $4ms^{- 2}$

Answer 1

Answer: (C)

Due to the five people the net force on the cart is
$F_{1}=100\times 3=300N$ due east
After the force applied by the person $F$ , the net force is
$F_{net}=300-100=200N$
$F_{net}=200=100\times a$
$\Rightarrow a=2ms^{- 2}$