James Bond is trying to escape his enemy on a speedboat but his boat won’t start and remains stationary in the water. His enemy’

Question

James Bond is trying to escape his enemy on a speedboat but
his boat won’t start and remains stationary in the water. His
enemy’s boat is twice the mass of Bond’s and collides with his
boat at 50 m/s. After the collision, the enemy boat is
completely stationary. How fast is Bond’s boat moving?

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Ngọc Diệp 5 years 2021-07-13T15:51:50+00:00 1 Answers 169 views 1

Answers ( )

  1. thnahdat
    1
    2021-07-13T15:53:06+00:00
    Reply

    Answer:

    100 m/s

    Explanation:

    Mass the mass of Bond’s boat is m₁. His enemy’s boat is twice the mass of Bond’s i.e. m₂ = 2 m₁

    Initial speed of Bond’s boat is 0 as it won’t start and remains stationary in the water. The initial speed of enemy’s boat is 50 m/s. After the collision, enemy boat is  completely stationary. Let v₁ is speed of bond’s boat.

    It is the concept of the conservation of momentum. It remains conserved. So,

    m_1u_1+m_2u_2=m_1v_1+m_2v_2

    Putting all the values, we get :

    0+(2m_1)50=m_1v_1+(2m_2)(0)\\\\100m_1=m_1v_1\\\\v_1=100\ m/s

    So, Bond’s boat is moving with a speed of 100 m/s after the collision.

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