The velocity of the trolleys after the collision will be 0.84 m/sec. Both collide and stick together and move with the same velocity.
According to the law of conservation of momentum, the momentum of the body before the collision is always equal to the momentum of the body after the collision.
The given data in the problem is;
(m₁) is the mass of S= 200 g =0.2 Kg
(u₁) is the initial velocity of S= 0 m/s
(m₂) is the mass T= 3 x 10⁻¹ kg
(u₂) is the initial velocity of T = 1.4 m/s
(v) is the velocity after collision =.?
According to the law of conservation of momentum;
Momentum before collision =Momentum after collision
[tex]\rm m_1u_1 + m_2u_2 = v(m_1 + m_2)\\\\ 3 \times 10^{-1} \times 1.4 + 0.2 \times 0 = v(0.3+0.2) \\\\ 0.5v=0.42 \\\\ v= 0.84 \ m/sec[/tex]
Hence, the velocity of the trolleys after the collision will be 0.84 m/sec.
To learn more about the law of conservation of momentum refer;
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