A small, 0.100 kg cart is moving at 1.20 m/s on a frictionless track when it collides with a larger, 1.00 kg cart at rest. After the collision, the small cart recoils at 0.850 m/s. What is the speed of the large cart after the collision

Respuesta :

Answer:

[tex]V_2=0.205m/s[/tex]

Explanation:

From the question we are told that

Moving Mass [tex]m_1=0.1kg[/tex]

Velocity of cart [tex]u_1=1.20 m/s[/tex]

Stationary Mass [tex]m_2= 1.00 kg[/tex]

Recoil velocity [tex]V_1=0.850 m/s[/tex]

Generally the equation of momentum is mathematically given by

[tex]m_1u_1+0=m_1v_1+m_2v_2[/tex]

[tex](0.1)(1.20)+0=(0.1)(-0.850)+(1)v_2[/tex]

[tex]V_2=0.205m/s[/tex]

Therefore speed of the stationary mass after collision is [tex]V_2=0.205m/s[/tex]

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