Question

Let the red cart have a mass of 1 kg and an initial velocity of +10 m/s, and the blue cart have a mass of 3 kg and an initial velocity of -10 m/s. If the two carts experience an Elastic Collision, what will be the final velocity of the blue cart? Note: Your answer is assumed to be reduced to the highest power possible. Your Answer: x10 Answer units Question 5 (0.2 points) In which type of collision is the momentum of a single car conserved? Elastic Collision of Carts with Equal Masses Elastic Collision of Carts with Unequal Masses Perfectly Inelastic Collision of Carts with Equal Masses Perfectly Inelastic Collision of Carts with Unequal Masses Explosion All of the above None of the above

Answer 1

Using laws of conservation of Momentum and Kinetic energy , The FInal velocity of the blue cart can be calculated as

$v_B =\frac{2m_Ru_R}{m_R+m_B} + \frac{u_B (m_B-m_R)}{m_R+m_B}$

The Subscript R represents the Red Cart and the subscript B represents the Blue Cart.

$v_B =\frac{2*1*10}{1+3} + \frac{-10(3-1)}{1+3}$

  

Therefore the final velocity of the Blue Cart is Zero.

Question 5 :

In all types of collision, unless there is no friction involved or no external forces involved the momentum will always be conserved irrespective of their masses and velocities .

Therefore, the right option is All the Above .

Hope this Helps!!