A hockey puck with a mass of 0.16 kg travels at a velocity of 40 m/s toward a goalkeeper. The goalkeeper has a mass of 120 kg and is at rest

Question

A hockey puck with a mass of 0.16 kg travels at a velocity of 40 m/s toward a goalkeeper. The goalkeeper has a mass of 120 kg and is at rest. Assuming a closed system, find the total momentum of the goalkeeper and puck after the puck is caught by the goalkeeper. In 3-4 sentences, identify the object with the greater momentum after the puck is caught and explain your reasoning.

in progress 0
Amity 4 years 2021-07-14T05:25:03+00:00 1 Answers 405 views 0

Answers ( )

  1. mocmien2
    0
    2021-07-14T05:26:47+00:00
    Reply

    Answer:

    Explanation:

    Momentum is the product of mass of a body and its velocity.

    Given the mass of the puck m1 = 0.16kg

    velocity of the puck v1 = 40m/s

    Given the mass of the goalkeeper m2 = 120kg

    velocity of the goalkeeper v2= 0m/s (goal keeper at rest)

    The total momentum of the goalkeeper and puck after the puck is caught by the goalkeeper is expressed as:

    m1v1 + m2v2 (their momentum will be added since they collide)

    = 0.16(40) + 120(0)

    = 0.16(40) + 0

    = 6.4kgm/s

    Let us calculate their common velocity using the conservation of momentum formula;

    m1u1 + m2u2 = (m1+m2)v

    6.4 = (0.16+120)v

    6.4 = 120.16v

    v = 6.4/120.16

    v = 0.053m/s

    Hence after collision, both objects move at a velocity of 0.053m/s

    Momentum of the puck after collision = m1v

    Momentum of the puck after collision = 0.16*0.053m/s

    Momentum of the puck after collision = 0.0085kgm/s

    Momentum of the keeper after collision = m2v

    Momentum of the keeper after collision = 120*0.053m/s

    Momentum of the keeper after collision = 6.36kgm/s

    From the calculation above, it can be seen that the keeper has the greater momentum after the puck was caught since the momentum of the keeper after collision is greater than that of the puck

Leave an answer

Browse

Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )