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Alex
3 years ago
15

A 2.0 kg cart moving right at 5.0 on a frictionless track collides with a 3.0 kg cart initially at rest. The 2.0 kg

Mathematics
1 answer:
Wewaii [24]3 years ago
4 0

final speed of the 3.0 kg cart is 2.67 m/s .

<u>Step-by-step explanation:</u>

Here we have , A 2.0 kg cart moving right at 5.0 on a friction less track collides with a 3.0 kg cart initially at rest. The 2.0 kg  cart has a final speed of 1.0 to the left. We will use law of conservation of momentum: For a collision occurring between object 1 and object 2 in an isolated system, the total momentum of the two objects before the collision is equal to the total momentum of the two objects after the collision.

m_1(v_1)+m_2(v_2) =m_1(v_3)+m_2(v_4)

⇒ m_1(v_1)+m_2(v_2) =m_1(v_3)+m_2(v_4)

⇒ 2(5)+3(0) =2(1)+3(v_4)

⇒ 10 =2+3(v_4)

⇒ 3(v_4) = 8

⇒ (v_4) = \frac{8}{3}

⇒ (v_4) = 2.67

Therefore, final speed of the 3.0 kg cart is 2.67 m/s .

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