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?

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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