Question

Pictured above are $5$ different situations in which the same wagon is being pulled by the same amount of the force at the angles indicated by the direction of the blue arrows. Friction is negligible, and the wagon stays in the contact with a horizontal surface in each case. Rank the situation according to the amount of the acceleration filled by the wagon, greatest first.

• A. $5,3,2,1,4$
  
• B. $3$ and $5$ tie, $2,1,4$
  
• C. $1$ and $2$ and $4$ tie, $3$ and $5$ tie
• D. $5,2,1,4,3$
  
• E. all tie

Answer 1

Answer: (D)

$5,2,1,4,3$

The acceleration of the wagon by the applied force is given by $a=\frac{F_x}{m}$

where $F_x$ is the horizontal component of the force.

$F_x=Fcos\theta$

where $\theta$ is the angle force forms with the horizontal.

Hence acceleration is maximum in figure $5$, and least in figure $3$ following the order- $5,2,1,4,3$