My Notes Ask Your Teache A crate with a mass of so kg glides through a space sta

Question

My Notes Ask Your Teache A crate with a mass of so kg glides through a space station with a speed of 3.5 m/s. An astronaut speeds it up by pushing on it from behind with a force of 230 N, continually pushing with this force through a di a distance of 4 m. After these two maneuvers, what is the speed of the around to the front of the crate and slows the crate down by pushing backwards with a force of 210 N, backing up through m. The astronaut moves crate? final speed m/s My Notes Ask Your Teacher

Explanation / Answer

Initial speed = 3.5 m/s

acceleration of the cart:

a = F/m = 230/90 = 2.555 m/s2

d = 5 m

use v2 = u2 + 2ad

=> v = [3.52 + 2(2.555)(5)]1/2 = 6.1486 m/s

this becomes the initial speed for the 2nd part of the problem

now, the new acceleration is:

a = - F/m = 210/90 = - 2.333 m/s2

again use,

v2 = u2 + 2ad

=> v = [6.14862 - 2(2.333)(4)]1/2 = 4.3747 m/s

this is the final speed.

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