A 62 kg astronaut is space-walking outside the space capsule and is stationary when the tether line breaks. As a means of returning to the c

Question

A 62 kg astronaut is space-walking outside the space capsule and is stationary when the tether line breaks. As a means of returning to the capsule, he throws his 3.3 kg wrench at a speed of 20.5 m/s away from the capsule. At what speed does the astronaut move toward the capsule

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Thu Giang 1 day 2021-07-22T07:09:02+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-07-22T07:10:53+00:00

    To solve this problem we must apply the concepts related to the conservation of momentum. We have the two masses of the bodies and the velocity of one of those bodies. Therefore, the initial momentum is equivalent to the final momentum. Mathematically this can be expressed as

    P_i = P_f

    m_1_v_1 = m_2 v_2

    Replacing with our values,

    3.3kg(20.5m/s) = (62kg)v_2

    Solving for v_2,

    v_2= 1.09m/s

    Therefore the speed that the astronaut move toward the capsule is 1.09m/s

    0
    2021-07-22T07:11:00+00:00

    Answer:

    Explanation:

    Given that,

    Mass of astronaut

    M = 62kg

    Mass of wrench

    m = 3.3kg

    Speed at which wrench move away from the capsule

    v = 20.5m/s

    Speed of astronaut?

    Let speed of astronaut be V

    Since there is no external force, we would apply conservation of momentum

    Momentum of the astronaut is equal to the momentum of the wrench

    Momentum is given as

    P = Mass × Velocity

    P(astronaut) = P(wrench)

    M×V = m×v

    V = m×v/M

    V = 3.3×20.5/62

    V = 1.09 m/s

    The astronaut speed is 1.09m/s

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