Q99 / 270 · NDA 2015 (Phase 2) · General Ability

Two forces, one of 3 newton and another of 4 newton are applied on a standard 1 kg body, placed on a horizontal and frictionless surface, simultaneously along the x -axis and the y-axis, respectively, as shown below: Figure
The magnitude of the resultant acceleration is:

  • A
    $7 \mathrm{~m} / \mathrm{s}^2$
  • B
    $1 \mathrm{~m} / \mathrm{s}^2$
  • Correct answer
    C
    $5 \mathrm{~m} / \mathrm{s}^2$
  • D
    $\sqrt{7} \mathrm{~m} / \mathrm{s}^2$

Solution

Final force will be along the Z axis. $F=\sqrt{ }(3)^2+(4)^2$ $\begin{aligned} & =\sqrt{ } 9+16=\sqrt{ } 25=5 \\ & \text {Acceleration }(a)=F / m=5 / 1=5 \mathrm{~m} / \mathrm{s}^2\end{aligned}$

Hence, the correct answer is option: 'C'.

Relevant Questions