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24 January, 13:38

Pam has a mass of 42.4 kg and she is at rest on smooth, level, frictionless ice. Pam straps on a rocket pack. The rocket supplies a constant force for 29.1 m and Pam acquires a speed of 56.8 m/s. What is the magnitude of the force?

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  1. 24 January, 15:28
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    F = 2349.6 N

    Explanation:

    We can solve this exercise using the relationship of momentum and momentum

    I = Δp

    I = F t

    As the woman accelerates at a distance of 29.1 m to go from rest to 56.8 m / s, we can use the kinematics to find the acceleration

    v² = v₀² + 2 a x

    v₀ = 0

    a = v / 2x

    a = 56.8 2/2 29.1

    a = 55.43 m / s²

    Let's look for the time you need to get this speed

    v = v₀ + a t

    t = v / a

    t = 56.8 / 55.43

    t = 1,025 s

    Let's clear the average force momentum from the momentum

    F t = m v - m v₀

    F = mv / t

    F = 42.4 56.8 / 1.025

    F = 2349.6 N
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