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shusha [124]
3 years ago
11

In an experiment, the 1 kg cart collides with a 3 kg cart but doesn’t stick to it. Instead, the 3 kg cart gets knock forward by

the 1 kg cart at 0.30m/s, which comes to rest after the collision.
If the positive direction is to the right, what was the initial velocity of the 1.0-kg cart?
Physics
1 answer:
notka56 [123]3 years ago
8 0

Explanation:

Given that,

Mass of the cart, m_1=1\ kg

Mass of the cart 2, m_2=3\ kg            

Final speed of cart 2, v_2=0.3\ m/s

Final speed of cart 1 is 0 as it comes to rest.

Let us assume that the initial velocity of the cart 2 is 0. So using the conservation of linear momentum as :

m_1u_1+m_2u_2=m_1v_1+m_2v_2\\\\m_1u_1+0=0+m_2v_2\\\\m_1u_1=m_2v_2\\\\u_1=\dfrac{m_2v_2}{m_1}\\\\u_1=\dfrac{3\times 0.3}{1}\\\\u_1=0.9\ m/s

So, the initial velocity of the 1.0-kg cart is 0.9 m/s.      

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