A truck of mass 10 metric ton runs at 3 m s- 1 along a level track and collides with a loaded truck of mass 20 metric ton, standing at rest. If the trucks couple together, the common speed after the collision is

Question

A truck of mass 10 metric ton runs at 3 m s- 1 along a level track and collides with a loaded truck of mass 20 metric ton, standing at rest. If the trucks couple together, the common speed after the collision is (A) 1 m s- 1 (B) 0.1 ms- 1 (C) 0.5 ms- 1 (D) 0.3 ms- 1

Tardigrade Admin · Accepted Answer

By the conservation of linear momentum v=(m1 u1 + m2 u2/m1 + m2) v=(10 × 3 + 20 × 0/10 + 20)=1ms- 1

Q. A truck of mass $10$ metric ton runs at $3 m s^{- 1}$ along a level track and collides with a loaded truck of mass $20$ metric ton, standing at rest. If the trucks couple together, the common speed after the collision is

$1 m s^{- 1}$

$0.1 m s^{- 1}$

$0.5 m s^{- 1}$

$0.3 m s^{- 1}$

By the conservation of linear momentum
$v = \frac{m _{1} u _{1} + m _{2} u _{2}}{m _{1} + m _{2}}$
$v = \frac{10 \times 3 + 20 \times 0}{10 + 20} = 1 m s^{- 1}$

Q. A truck of mass 10 metric ton runs at 3ms−1 along a level track and collides with a loaded truck of mass 20 metric ton, standing at rest. If the trucks couple together, the common speed after the collision is

1ms−1

0.1ms−1

0.5ms−1

0.3ms−1